TSTP Solution File: ALG068+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG068+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 : 600s
% DateTime : Thu Jul 14 17:34:57 EDT 2022
% Result : Theorem 3.87s 4.05s
% Output : CNFRefutation 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 885
% Syntax : Number of formulae : 4462 (1792 unt; 0 def)
% Number of atoms : 21350 (21320 equ)
% Maximal formula atoms : 250 ( 4 avg)
% Number of connectives : 26391 (9503 ~;9904 |;6934 &)
% ( 0 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 220 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,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 ) ) ).
fof(ax2,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 ) ) ).
fof(ax3,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 ) ) ).
fof(ax4,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) ) ).
fof(ax5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ) ).
fof(ax6,axiom,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ) ).
fof(co1,conjecture,
~ ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ) ).
fof(subgoal_0,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0 )
=> op(op(e0,e0),e0) = e0 ),
inference(strip,[],[co1]) ).
fof(subgoal_1,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0 )
=> op(op(e0,e1),e0) = e1 ),
inference(strip,[],[co1]) ).
fof(subgoal_2,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0 )
=> op(op(e0,e2),e0) = e2 ),
inference(strip,[],[co1]) ).
fof(subgoal_3,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0 )
=> op(op(e0,e3),e0) = e3 ),
inference(strip,[],[co1]) ).
fof(subgoal_4,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0 )
=> op(op(e0,e4),e0) = e4 ),
inference(strip,[],[co1]) ).
fof(subgoal_5,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1 )
=> op(op(e1,e0),e1) = e0 ),
inference(strip,[],[co1]) ).
fof(subgoal_6,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1 )
=> op(op(e1,e1),e1) = e1 ),
inference(strip,[],[co1]) ).
fof(subgoal_7,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1 )
=> op(op(e1,e2),e1) = e2 ),
inference(strip,[],[co1]) ).
fof(subgoal_8,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1 )
=> op(op(e1,e3),e1) = e3 ),
inference(strip,[],[co1]) ).
fof(subgoal_9,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1 )
=> op(op(e1,e4),e1) = e4 ),
inference(strip,[],[co1]) ).
fof(subgoal_10,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2 )
=> op(op(e2,e0),e2) = e0 ),
inference(strip,[],[co1]) ).
fof(subgoal_11,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2 )
=> op(op(e2,e1),e2) = e1 ),
inference(strip,[],[co1]) ).
fof(subgoal_12,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2 )
=> op(op(e2,e2),e2) = e2 ),
inference(strip,[],[co1]) ).
fof(subgoal_13,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2 )
=> op(op(e2,e3),e2) = e3 ),
inference(strip,[],[co1]) ).
fof(subgoal_14,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2 )
=> op(op(e2,e4),e2) = e4 ),
inference(strip,[],[co1]) ).
fof(subgoal_15,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3 )
=> op(op(e3,e0),e3) = e0 ),
inference(strip,[],[co1]) ).
fof(subgoal_16,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3 )
=> op(op(e3,e1),e3) = e1 ),
inference(strip,[],[co1]) ).
fof(subgoal_17,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3 )
=> op(op(e3,e2),e3) = e2 ),
inference(strip,[],[co1]) ).
fof(subgoal_18,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3 )
=> op(op(e3,e3),e3) = e3 ),
inference(strip,[],[co1]) ).
fof(subgoal_19,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3 )
=> op(op(e3,e4),e3) = e4 ),
inference(strip,[],[co1]) ).
fof(subgoal_20,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4 )
=> op(op(e4,e0),e4) = e0 ),
inference(strip,[],[co1]) ).
fof(subgoal_21,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4 )
=> op(op(e4,e1),e4) = e1 ),
inference(strip,[],[co1]) ).
fof(subgoal_22,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4 )
=> op(op(e4,e2),e4) = e2 ),
inference(strip,[],[co1]) ).
fof(subgoal_23,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& ~ ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
& op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4 )
=> op(op(e4,e3),e4) = e3 ),
inference(strip,[],[co1]) ).
fof(subgoal_24,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& ~ ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
& ~ ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
& op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4 )
=> op(op(e4,e4),e4) = e4 ),
inference(strip,[],[co1]) ).
fof(negate_0_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0 )
=> op(op(e0,e0),e0) = e0 ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
$false,
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_0]) ).
fof(negate_1_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0 )
=> op(op(e0,e1),e0) = e1 ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_1_1,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_3,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_4,plain,
( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_5,plain,
op(e1,e0) != op(e0,e1),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_7,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_1_8,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_10,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_1_11,plain,
e0 != e1,
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_12,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_1_13,plain,
op(e1,e2) != op(e4,e2),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_15,plain,
op(e1,e0) != op(e1,e4),
inference(conjunct,[],[normalize_1_12]) ).
cnf(refute_1_0,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_2,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_3,plain,
( op(unit,e1) != e1
| unit != e0
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e0)]]) ).
cnf(refute_1_4,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_1_2,refute_1_3]) ).
cnf(refute_1_5,plain,
( op(e0,e1) = e1
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_1_1,refute_1_4]) ).
cnf(refute_1_6,plain,
op(e1,e0) != op(e0,e1),
inference(canonicalize,[],[normalize_1_5]) ).
cnf(refute_1_7,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_8,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_9,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_10,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_11,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_12,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_10,refute_1_11]) ).
cnf(refute_1_13,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_1_12:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_1_14,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_1_9,refute_1_13]) ).
cnf(refute_1_15,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_1_16,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_1_17,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_1_15,refute_1_16]) ).
cnf(refute_1_18,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_1_14,refute_1_17]) ).
cnf(refute_1_19,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_1_20,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_1_21,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_1_19,refute_1_20]) ).
cnf(refute_1_22,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_1_14,refute_1_21]) ).
cnf(refute_1_23,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_24,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_12,refute_1_23]) ).
cnf(refute_1_25,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_1_26,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_1_22,refute_1_25]) ).
cnf(refute_1_27,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_1_18,refute_1_26]) ).
cnf(refute_1_28,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_1_29,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_1_27,refute_1_28]) ).
cnf(refute_1_30,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_1_8,refute_1_29]) ).
cnf(refute_1_31,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_1_12:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_1_32,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_1_30,refute_1_31]) ).
cnf(refute_1_33,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_1_34,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_1_32,refute_1_33]) ).
cnf(refute_1_35,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_1_34,refute_1_7]) ).
cnf(refute_1_36,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_1_37,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_1_36,refute_1_35]) ).
cnf(refute_1_38,plain,
( e1 != op(e0,e1)
| op(e1,e0) != e1
| op(e1,e0) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e0,e1))]]) ).
cnf(refute_1_39,plain,
( e1 != op(e0,e1)
| op(e1,e0) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_1_37,refute_1_38]) ).
cnf(refute_1_40,plain,
e1 != op(e0,e1),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e0,e1)) )],[refute_1_39,refute_1_6]) ).
cnf(refute_1_41,plain,
( op(e0,e1) != e1
| e1 = op(e0,e1) ),
inference(subst,[],[refute_1_12:[bind(X,$fot(op(e0,e1))),bind(Y,$fot(e1))]]) ).
cnf(refute_1_42,plain,
op(e0,e1) != e1,
inference(resolve,[$cnf( $equal(e1,op(e0,e1)) )],[refute_1_41,refute_1_40]) ).
cnf(refute_1_43,plain,
( unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_1_5,refute_1_42]) ).
cnf(refute_1_44,plain,
( op(e1,unit) != e1
| unit != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_1_45,plain,
( op(e1,unit) != e1
| op(e1,e1) = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_1_43,refute_1_44]) ).
cnf(refute_1_46,plain,
( op(e1,e1) = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_1_0,refute_1_45]) ).
cnf(refute_1_47,plain,
( op(e1,e1) != e0
| op(e1,e1) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e0)]]) ).
cnf(refute_1_48,plain,
( op(e1,e1) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_1_32,refute_1_47]) ).
cnf(refute_1_49,plain,
( e0 = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_1_46,refute_1_48]) ).
cnf(refute_1_50,plain,
e0 != e1,
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_51,plain,
( unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_1_49,refute_1_50]) ).
cnf(refute_1_52,plain,
( op(e1,unit) != e1
| unit != e2
| op(e1,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e2)]]) ).
cnf(refute_1_53,plain,
( op(e1,unit) != e1
| op(e1,e2) = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_1_51,refute_1_52]) ).
cnf(refute_1_54,plain,
( op(e1,e2) = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_1_0,refute_1_53]) ).
cnf(refute_1_55,plain,
op(e1,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_56,plain,
( op(e1,e2) != e1
| op(e4,e2) != e1
| op(e1,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e4,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_1_57,plain,
( op(e1,e2) != e1
| op(e1,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_1_14,refute_1_56]) ).
cnf(refute_1_58,plain,
op(e1,e2) != e1,
inference(resolve,[$cnf( $equal(op(e1,e2),op(e4,e2)) )],[refute_1_57,refute_1_55]) ).
cnf(refute_1_59,plain,
( unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_1_54,refute_1_58]) ).
cnf(refute_1_60,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_1_61,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_1_59,refute_1_60]) ).
cnf(refute_1_62,plain,
( op(e1,e3) = e1
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_1_0,refute_1_61]) ).
cnf(refute_1_63,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_1_14]) ).
cnf(refute_1_64,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_1_65,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_1_37,refute_1_64]) ).
cnf(refute_1_66,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_1_65,refute_1_63]) ).
cnf(refute_1_67,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_1_12:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_1_68,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_1_67,refute_1_66]) ).
cnf(refute_1_69,plain,
unit = e4,
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_1_62,refute_1_68]) ).
cnf(refute_1_70,plain,
op(e1,unit) = op(e1,unit),
introduced(tautology,[refl,[$fot(op(e1,unit))]]) ).
cnf(refute_1_71,plain,
( op(e1,unit) != op(e1,unit)
| unit != e4
| op(e1,unit) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),op(e1,unit)) ),[1,1],$fot(e4)]]) ).
cnf(refute_1_72,plain,
( unit != e4
| op(e1,unit) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,unit)) )],[refute_1_70,refute_1_71]) ).
cnf(refute_1_73,plain,
op(e1,unit) = op(e1,e4),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_1_69,refute_1_72]) ).
cnf(refute_1_74,plain,
( op(e1,unit) != e1
| op(e1,unit) != op(e1,e4)
| op(e1,e4) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0],$fot(op(e1,e4))]]) ).
cnf(refute_1_75,plain,
( op(e1,unit) != e1
| op(e1,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),op(e1,e4)) )],[refute_1_73,refute_1_74]) ).
cnf(refute_1_76,plain,
op(e1,e4) = e1,
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_1_0,refute_1_75]) ).
cnf(refute_1_77,plain,
op(e1,e0) != op(e1,e4),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_78,plain,
( e1 != op(e1,e4)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_1_79,plain,
( e1 != op(e1,e4)
| op(e1,e0) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_1_37,refute_1_78]) ).
cnf(refute_1_80,plain,
e1 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e4)) )],[refute_1_79,refute_1_77]) ).
cnf(refute_1_81,plain,
( op(e1,e4) != e1
| e1 = op(e1,e4) ),
inference(subst,[],[refute_1_12:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e1))]]) ).
cnf(refute_1_82,plain,
op(e1,e4) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e4)) )],[refute_1_81,refute_1_80]) ).
cnf(refute_1_83,plain,
$false,
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_1_76,refute_1_82]) ).
fof(negate_2_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0 )
=> op(op(e0,e2),e0) = e2 ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 ) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_1,plain,
op(e2,e0) != op(e0,e2),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_2_3,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_4,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_5,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_6,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_7,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_8,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_9,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_2_10,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_2_9]) ).
fof(normalize_2_11,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_2_9]) ).
fof(normalize_2_12,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_2_13,plain,
e0 != e1,
inference(conjunct,[],[normalize_2_12]) ).
fof(normalize_2_14,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_2_15,plain,
op(e2,e3) != op(e2,e4),
inference(conjunct,[],[normalize_2_14]) ).
fof(normalize_2_16,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_2_9]) ).
fof(normalize_2_17,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_2_14]) ).
fof(normalize_2_18,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_19,plain,
e1 != e2,
inference(conjunct,[],[normalize_2_12]) ).
cnf(refute_2_0,plain,
op(e2,e0) != op(e0,e2),
inference(canonicalize,[],[normalize_2_1]) ).
cnf(refute_2_1,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_2_3]) ).
cnf(refute_2_2,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_2_4]) ).
cnf(refute_2_3,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_2_5]) ).
cnf(refute_2_4,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_2_6]) ).
cnf(refute_2_5,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_2_7]) ).
cnf(refute_2_6,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_2_8]) ).
cnf(refute_2_7,plain,
( op(unit,e1) != e1
| unit != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_2_8,plain,
( op(unit,e1) != e1
| op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_2_6,refute_2_7]) ).
cnf(refute_2_9,plain,
( op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_2_5,refute_2_8]) ).
cnf(refute_2_10,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_2_10]) ).
cnf(refute_2_11,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_2_11]) ).
cnf(refute_2_12,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_2_13,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_2_14,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_2_12,refute_2_13]) ).
cnf(refute_2_15,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_2_14:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_2_16,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_2_11,refute_2_15]) ).
cnf(refute_2_17,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_2_18,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_2_19,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_2_17,refute_2_18]) ).
cnf(refute_2_20,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_2_16,refute_2_19]) ).
cnf(refute_2_21,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_2_22,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_2_23,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_2_21,refute_2_22]) ).
cnf(refute_2_24,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_2_16,refute_2_23]) ).
cnf(refute_2_25,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_2_26,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_2_14,refute_2_25]) ).
cnf(refute_2_27,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_2_26:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_2_28,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_2_24,refute_2_27]) ).
cnf(refute_2_29,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_2_20,refute_2_28]) ).
cnf(refute_2_30,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_2_31,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_2_29,refute_2_30]) ).
cnf(refute_2_32,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_2_10,refute_2_31]) ).
cnf(refute_2_33,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_2_14:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_2_34,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_2_32,refute_2_33]) ).
cnf(refute_2_35,plain,
( op(e1,e1) != e0
| op(e1,e1) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e0)]]) ).
cnf(refute_2_36,plain,
( op(e1,e1) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_2_34,refute_2_35]) ).
cnf(refute_2_37,plain,
( e0 = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_2_9,refute_2_36]) ).
cnf(refute_2_38,plain,
e0 != e1,
inference(canonicalize,[],[normalize_2_13]) ).
cnf(refute_2_39,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_2_37,refute_2_38]) ).
cnf(refute_2_40,plain,
( op(unit,e3) != e3
| unit != e2
| op(e2,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0,0],$fot(e2)]]) ).
cnf(refute_2_41,plain,
( op(unit,e3) != e3
| op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_2_39,refute_2_40]) ).
cnf(refute_2_42,plain,
( op(e2,e3) = e3
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_2_4,refute_2_41]) ).
cnf(refute_2_43,plain,
op(e2,e3) != op(e2,e4),
inference(canonicalize,[],[normalize_2_15]) ).
cnf(refute_2_44,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_2_16]) ).
cnf(refute_2_45,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_2_14:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_2_46,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_2_44,refute_2_45]) ).
cnf(refute_2_47,plain,
( op(e2,e3) != e3
| op(e2,e4) != e3
| op(e2,e3) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e3),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_2_48,plain,
( op(e2,e3) != e3
| op(e2,e3) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_2_46,refute_2_47]) ).
cnf(refute_2_49,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e4)) )],[refute_2_48,refute_2_43]) ).
cnf(refute_2_50,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_2_42,refute_2_49]) ).
cnf(refute_2_51,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_2_52,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_2_50,refute_2_51]) ).
cnf(refute_2_53,plain,
( op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_2_3,refute_2_52]) ).
cnf(refute_2_54,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_2_17]) ).
cnf(refute_2_55,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_2_18]) ).
cnf(refute_2_56,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_2_57,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_2_34,refute_2_56]) ).
cnf(refute_2_58,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_2_57,refute_2_55]) ).
cnf(refute_2_59,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_2_60,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_2_59,refute_2_58]) ).
cnf(refute_2_61,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_2_62,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_2_60,refute_2_61]) ).
cnf(refute_2_63,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_2_62,refute_2_54]) ).
cnf(refute_2_64,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_2_14:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_2_65,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_2_64,refute_2_63]) ).
cnf(refute_2_66,plain,
( unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_2_53,refute_2_65]) ).
cnf(refute_2_67,plain,
( op(unit,e2) != e2
| unit != e4
| op(e4,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_2_68,plain,
( op(unit,e2) != e2
| op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_2_66,refute_2_67]) ).
cnf(refute_2_69,plain,
( op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_2_2,refute_2_68]) ).
cnf(refute_2_70,plain,
( op(e4,e2) != e1
| op(e4,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_2_71,plain,
( op(e4,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_2_16,refute_2_70]) ).
cnf(refute_2_72,plain,
( e1 = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_2_69,refute_2_71]) ).
cnf(refute_2_73,plain,
e1 != e2,
inference(canonicalize,[],[normalize_2_19]) ).
cnf(refute_2_74,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_2_72,refute_2_73]) ).
cnf(refute_2_75,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_2_76,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_2_77,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_2_75,refute_2_76]) ).
cnf(refute_2_78,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_2_74,refute_2_77]) ).
cnf(refute_2_79,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_2_80,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_2_78,refute_2_79]) ).
cnf(refute_2_81,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_2_1,refute_2_80]) ).
cnf(refute_2_82,plain,
( e2 != op(e0,e2)
| op(e2,e0) != e2
| op(e2,e0) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_2_83,plain,
( e2 != op(e0,e2)
| op(e2,e0) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_2_81,refute_2_82]) ).
cnf(refute_2_84,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_2_85,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_2_86,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_2_84,refute_2_85]) ).
cnf(refute_2_87,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_2_74,refute_2_86]) ).
cnf(refute_2_88,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_2_89,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_2_87,refute_2_88]) ).
cnf(refute_2_90,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_2_2,refute_2_89]) ).
cnf(refute_2_91,plain,
( e2 != e2
| op(e0,e2) != e2
| e2 = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_2_92,plain,
( e2 != e2
| e2 = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_2_90,refute_2_91]) ).
cnf(refute_2_93,plain,
( e2 != e2
| op(e2,e0) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(e2,op(e0,e2)) )],[refute_2_92,refute_2_83]) ).
cnf(refute_2_94,plain,
e2 != e2,
inference(resolve,[$cnf( $equal(op(e2,e0),op(e0,e2)) )],[refute_2_93,refute_2_0]) ).
cnf(refute_2_95,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_2_96,plain,
$false,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_2_95,refute_2_94]) ).
fof(negate_3_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0 )
=> op(op(e0,e3),e0) = e3 ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,plain,
( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 ) ),
inference(canonicalize,[],[negate_3_0]) ).
fof(normalize_3_1,plain,
op(e3,e0) != op(e0,e3),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_2,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_3_3,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_4,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_5,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_6,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_7,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_8,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_9,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_3_10,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_11,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_12,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_3_13,plain,
e0 != e1,
inference(conjunct,[],[normalize_3_12]) ).
fof(normalize_3_14,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_15,plain,
e3 != e4,
inference(conjunct,[],[normalize_3_12]) ).
fof(normalize_3_16,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_3_17,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_3_16]) ).
fof(normalize_3_18,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_19,plain,
e1 != e2,
inference(conjunct,[],[normalize_3_12]) ).
fof(normalize_3_20,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_3_2]) ).
cnf(refute_3_0,plain,
op(e3,e0) != op(e0,e3),
inference(canonicalize,[],[normalize_3_1]) ).
cnf(refute_3_1,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_3_3]) ).
cnf(refute_3_2,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_3_4]) ).
cnf(refute_3_3,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_3_5]) ).
cnf(refute_3_4,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_3_6]) ).
cnf(refute_3_5,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_3_7]) ).
cnf(refute_3_6,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_3_8]) ).
cnf(refute_3_7,plain,
( op(unit,e1) != e1
| unit != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_3_8,plain,
( op(unit,e1) != e1
| op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_3_6,refute_3_7]) ).
cnf(refute_3_9,plain,
( op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_3_5,refute_3_8]) ).
cnf(refute_3_10,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_3_10]) ).
cnf(refute_3_11,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_3_11]) ).
cnf(refute_3_12,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_3_13,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_3_14,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_3_12,refute_3_13]) ).
cnf(refute_3_15,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_3_14:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_3_16,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_3_11,refute_3_15]) ).
cnf(refute_3_17,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_3_18,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_3_19,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_3_17,refute_3_18]) ).
cnf(refute_3_20,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_3_16,refute_3_19]) ).
cnf(refute_3_21,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_3_22,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_3_23,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_3_21,refute_3_22]) ).
cnf(refute_3_24,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_3_16,refute_3_23]) ).
cnf(refute_3_25,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_3_26,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_3_14,refute_3_25]) ).
cnf(refute_3_27,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_3_26:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_3_28,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_3_24,refute_3_27]) ).
cnf(refute_3_29,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_3_20,refute_3_28]) ).
cnf(refute_3_30,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_3_31,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_3_29,refute_3_30]) ).
cnf(refute_3_32,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_3_10,refute_3_31]) ).
cnf(refute_3_33,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_3_14:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_3_34,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_3_32,refute_3_33]) ).
cnf(refute_3_35,plain,
( op(e1,e1) != e0
| op(e1,e1) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e0)]]) ).
cnf(refute_3_36,plain,
( op(e1,e1) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_3_34,refute_3_35]) ).
cnf(refute_3_37,plain,
( e0 = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_3_9,refute_3_36]) ).
cnf(refute_3_38,plain,
e0 != e1,
inference(canonicalize,[],[normalize_3_13]) ).
cnf(refute_3_39,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_3_37,refute_3_38]) ).
cnf(refute_3_40,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_3_41,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_3_39,refute_3_40]) ).
cnf(refute_3_42,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_3_4,refute_3_41]) ).
cnf(refute_3_43,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_3_14]) ).
cnf(refute_3_44,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_3_14:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_3_45,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_3_43,refute_3_44]) ).
cnf(refute_3_46,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_3_47,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_3_45,refute_3_46]) ).
cnf(refute_3_48,plain,
( e3 = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_3_42,refute_3_47]) ).
cnf(refute_3_49,plain,
e3 != e4,
inference(canonicalize,[],[normalize_3_15]) ).
cnf(refute_3_50,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_3_48,refute_3_49]) ).
cnf(refute_3_51,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_3_52,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_3_50,refute_3_51]) ).
cnf(refute_3_53,plain,
( op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_3_3,refute_3_52]) ).
cnf(refute_3_54,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_3_17]) ).
cnf(refute_3_55,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_3_18]) ).
cnf(refute_3_56,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_3_57,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_3_34,refute_3_56]) ).
cnf(refute_3_58,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_3_57,refute_3_55]) ).
cnf(refute_3_59,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_3_60,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_3_59,refute_3_58]) ).
cnf(refute_3_61,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_3_62,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_3_60,refute_3_61]) ).
cnf(refute_3_63,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_3_62,refute_3_54]) ).
cnf(refute_3_64,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_3_14:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_3_65,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_3_64,refute_3_63]) ).
cnf(refute_3_66,plain,
( unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_3_53,refute_3_65]) ).
cnf(refute_3_67,plain,
( op(unit,e2) != e2
| unit != e4
| op(e4,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_3_68,plain,
( op(unit,e2) != e2
| op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_3_66,refute_3_67]) ).
cnf(refute_3_69,plain,
( op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_3_2,refute_3_68]) ).
cnf(refute_3_70,plain,
( op(e4,e2) != e1
| op(e4,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_3_71,plain,
( op(e4,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_3_16,refute_3_70]) ).
cnf(refute_3_72,plain,
( e1 = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_3_69,refute_3_71]) ).
cnf(refute_3_73,plain,
e1 != e2,
inference(canonicalize,[],[normalize_3_19]) ).
cnf(refute_3_74,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_3_72,refute_3_73]) ).
cnf(refute_3_75,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_3_76,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_3_77,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_3_75,refute_3_76]) ).
cnf(refute_3_78,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_3_74,refute_3_77]) ).
cnf(refute_3_79,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_3_80,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_3_78,refute_3_79]) ).
cnf(refute_3_81,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_3_1,refute_3_80]) ).
cnf(refute_3_82,plain,
( e3 != op(e0,e3)
| op(e3,e0) != e3
| op(e3,e0) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e0,e3))]]) ).
cnf(refute_3_83,plain,
( e3 != op(e0,e3)
| op(e3,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_3_81,refute_3_82]) ).
cnf(refute_3_84,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_3_20]) ).
cnf(refute_3_85,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_3_86,plain,
( op(unit,e3) != op(unit,e3)
| unit != e0
| op(unit,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_3_87,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_3_85,refute_3_86]) ).
cnf(refute_3_88,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_3_74,refute_3_87]) ).
cnf(refute_3_89,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_3_90,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_3_88,refute_3_89]) ).
cnf(refute_3_91,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_3_84,refute_3_90]) ).
cnf(refute_3_92,plain,
( e3 != e3
| op(e0,e3) != e3
| e3 = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e0,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_3_93,plain,
( e3 != e3
| e3 = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_3_91,refute_3_92]) ).
cnf(refute_3_94,plain,
( e3 != e3
| op(e3,e0) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(e3,op(e0,e3)) )],[refute_3_93,refute_3_83]) ).
cnf(refute_3_95,plain,
e3 != e3,
inference(resolve,[$cnf( $equal(op(e3,e0),op(e0,e3)) )],[refute_3_94,refute_3_0]) ).
cnf(refute_3_96,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_3_97,plain,
$false,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_3_96,refute_3_95]) ).
fof(negate_4_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0 )
=> op(op(e0,e4),e0) = e4 ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 ) ),
inference(canonicalize,[],[negate_4_0]) ).
fof(normalize_4_1,plain,
op(e4,e0) != op(e0,e4),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_2,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_4_3,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_4,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_5,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_6,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_7,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_8,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_9,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_4_10,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_4_9]) ).
fof(normalize_4_11,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_4_9]) ).
fof(normalize_4_12,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_4_13,plain,
e0 != e1,
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_14,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_4_9]) ).
fof(normalize_4_15,plain,
e3 != e4,
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_16,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_4_17,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_4_16]) ).
fof(normalize_4_18,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_19,plain,
e2 != e3,
inference(conjunct,[],[normalize_4_12]) ).
cnf(refute_4_0,plain,
op(e4,e0) != op(e0,e4),
inference(canonicalize,[],[normalize_4_1]) ).
cnf(refute_4_1,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_4_3]) ).
cnf(refute_4_2,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_4_4]) ).
cnf(refute_4_3,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_4_5]) ).
cnf(refute_4_4,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_4_6]) ).
cnf(refute_4_5,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_4_7]) ).
cnf(refute_4_6,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_4_8]) ).
cnf(refute_4_7,plain,
( op(unit,e1) != e1
| unit != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_4_8,plain,
( op(unit,e1) != e1
| op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_4_6,refute_4_7]) ).
cnf(refute_4_9,plain,
( op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_4_5,refute_4_8]) ).
cnf(refute_4_10,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_4_10]) ).
cnf(refute_4_11,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_4_11]) ).
cnf(refute_4_12,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_4_13,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_4_14,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_4_12,refute_4_13]) ).
cnf(refute_4_15,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_4_14:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_4_16,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_4_11,refute_4_15]) ).
cnf(refute_4_17,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_4_18,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_4_19,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_4_17,refute_4_18]) ).
cnf(refute_4_20,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_4_16,refute_4_19]) ).
cnf(refute_4_21,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_4_22,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_4_23,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_4_21,refute_4_22]) ).
cnf(refute_4_24,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_4_16,refute_4_23]) ).
cnf(refute_4_25,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_4_26,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_4_14,refute_4_25]) ).
cnf(refute_4_27,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_4_26:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_4_28,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_4_24,refute_4_27]) ).
cnf(refute_4_29,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_4_20,refute_4_28]) ).
cnf(refute_4_30,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_4_31,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_4_29,refute_4_30]) ).
cnf(refute_4_32,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_4_10,refute_4_31]) ).
cnf(refute_4_33,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_4_14:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_4_34,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_4_32,refute_4_33]) ).
cnf(refute_4_35,plain,
( op(e1,e1) != e0
| op(e1,e1) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e0)]]) ).
cnf(refute_4_36,plain,
( op(e1,e1) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_4_34,refute_4_35]) ).
cnf(refute_4_37,plain,
( e0 = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_4_9,refute_4_36]) ).
cnf(refute_4_38,plain,
e0 != e1,
inference(canonicalize,[],[normalize_4_13]) ).
cnf(refute_4_39,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_4_37,refute_4_38]) ).
cnf(refute_4_40,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_4_41,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_4_39,refute_4_40]) ).
cnf(refute_4_42,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_4_4,refute_4_41]) ).
cnf(refute_4_43,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_4_14]) ).
cnf(refute_4_44,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_4_14:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_4_45,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_4_43,refute_4_44]) ).
cnf(refute_4_46,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_4_47,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_4_45,refute_4_46]) ).
cnf(refute_4_48,plain,
( e3 = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_4_42,refute_4_47]) ).
cnf(refute_4_49,plain,
e3 != e4,
inference(canonicalize,[],[normalize_4_15]) ).
cnf(refute_4_50,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_4_48,refute_4_49]) ).
cnf(refute_4_51,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_4_52,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_4_50,refute_4_51]) ).
cnf(refute_4_53,plain,
( op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_4_3,refute_4_52]) ).
cnf(refute_4_54,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_4_17]) ).
cnf(refute_4_55,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_4_18]) ).
cnf(refute_4_56,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_4_57,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_4_34,refute_4_56]) ).
cnf(refute_4_58,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_4_57,refute_4_55]) ).
cnf(refute_4_59,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_4_60,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_4_59,refute_4_58]) ).
cnf(refute_4_61,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_4_62,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_4_60,refute_4_61]) ).
cnf(refute_4_63,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_4_62,refute_4_54]) ).
cnf(refute_4_64,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_4_14:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_4_65,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_4_64,refute_4_63]) ).
cnf(refute_4_66,plain,
( unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_4_53,refute_4_65]) ).
cnf(refute_4_67,plain,
( op(e2,unit) != e2
| unit != e4
| op(e2,e4) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0,1],$fot(e4)]]) ).
cnf(refute_4_68,plain,
( op(e2,unit) != e2
| op(e2,e4) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_4_66,refute_4_67]) ).
cnf(refute_4_69,plain,
( op(e2,e4) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_4_2,refute_4_68]) ).
cnf(refute_4_70,plain,
( op(e2,e4) != e2
| op(e2,e4) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e2) ),[0],$fot(e3)]]) ).
cnf(refute_4_71,plain,
( op(e2,e4) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_4_45,refute_4_70]) ).
cnf(refute_4_72,plain,
( e3 = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e2) )],[refute_4_69,refute_4_71]) ).
cnf(refute_4_73,plain,
e2 != e3,
inference(canonicalize,[],[normalize_4_19]) ).
cnf(refute_4_74,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_4_14:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_4_75,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_4_74,refute_4_73]) ).
cnf(refute_4_76,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_4_72,refute_4_75]) ).
cnf(refute_4_77,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_4_78,plain,
( op(e4,unit) != op(e4,unit)
| unit != e0
| op(e4,unit) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_4_79,plain,
( unit != e0
| op(e4,unit) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_4_77,refute_4_78]) ).
cnf(refute_4_80,plain,
op(e4,unit) = op(e4,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_4_76,refute_4_79]) ).
cnf(refute_4_81,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e0)
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_4_82,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e0)) )],[refute_4_80,refute_4_81]) ).
cnf(refute_4_83,plain,
op(e4,e0) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_4_1,refute_4_82]) ).
cnf(refute_4_84,plain,
( e4 != op(e0,e4)
| op(e4,e0) != e4
| op(e4,e0) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[1],$fot(op(e0,e4))]]) ).
cnf(refute_4_85,plain,
( e4 != op(e0,e4)
| op(e4,e0) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_4_83,refute_4_84]) ).
cnf(refute_4_86,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_4_87,plain,
( op(unit,e4) != op(unit,e4)
| unit != e0
| op(unit,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_4_88,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_4_86,refute_4_87]) ).
cnf(refute_4_89,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_4_76,refute_4_88]) ).
cnf(refute_4_90,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_4_91,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_4_89,refute_4_90]) ).
cnf(refute_4_92,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_4_4,refute_4_91]) ).
cnf(refute_4_93,plain,
( e4 != e4
| op(e0,e4) != e4
| e4 = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e0,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_4_94,plain,
( e4 != e4
| e4 = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_4_92,refute_4_93]) ).
cnf(refute_4_95,plain,
( e4 != e4
| op(e4,e0) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(e4,op(e0,e4)) )],[refute_4_94,refute_4_85]) ).
cnf(refute_4_96,plain,
e4 != e4,
inference(resolve,[$cnf( $equal(op(e4,e0),op(e0,e4)) )],[refute_4_95,refute_4_0]) ).
cnf(refute_4_97,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_4_98,plain,
$false,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_4_97,refute_4_96]) ).
fof(negate_5_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1 )
=> op(op(e1,e0),e1) = e0 ),
inference(negate,[],[subgoal_5]) ).
fof(normalize_5_0,plain,
( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 ) ),
inference(canonicalize,[],[negate_5_0]) ).
fof(normalize_5_1,plain,
op(op(e1,e0),e1) != e0,
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_2,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_5_3,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_4,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_5,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_5_0]) ).
cnf(refute_5_0,plain,
op(op(e1,e0),e1) != e0,
inference(canonicalize,[],[normalize_5_1]) ).
cnf(refute_5_1,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_5_3]) ).
cnf(refute_5_2,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_5_4]) ).
cnf(refute_5_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_5_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_5_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_5_3,refute_5_4]) ).
cnf(refute_5_6,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_5_5:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_5_7,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_5_2,refute_5_6]) ).
cnf(refute_5_8,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_5_9,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_5_10,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_5_8,refute_5_9]) ).
cnf(refute_5_11,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_5_7,refute_5_10]) ).
cnf(refute_5_12,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_5_13,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_5_14,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_5_12,refute_5_13]) ).
cnf(refute_5_15,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_5_7,refute_5_14]) ).
cnf(refute_5_16,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_5_17,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_5_5,refute_5_16]) ).
cnf(refute_5_18,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_5_17:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_5_19,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_5_15,refute_5_18]) ).
cnf(refute_5_20,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_5_11,refute_5_19]) ).
cnf(refute_5_21,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_5_22,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_5_20,refute_5_21]) ).
cnf(refute_5_23,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_5_1,refute_5_22]) ).
cnf(refute_5_24,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_5_5:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_5_25,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_5_23,refute_5_24]) ).
cnf(refute_5_26,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_5_5]) ).
cnf(refute_5_27,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_5_28,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_5_25,refute_5_27]) ).
cnf(refute_5_29,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_5_28,refute_5_26]) ).
cnf(refute_5_30,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_5_31,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_5_30,refute_5_29]) ).
cnf(refute_5_32,plain,
op(op(e1,e0),e1) = op(op(e1,e0),e1),
introduced(tautology,[refl,[$fot(op(op(e1,e0),e1))]]) ).
cnf(refute_5_33,plain,
( op(e1,e0) != e1
| op(op(e1,e0),e1) != op(op(e1,e0),e1)
| op(op(e1,e0),e1) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),e1),op(op(e1,e0),e1)) ),[1,0],$fot(e1)]]) ).
cnf(refute_5_34,plain,
( op(e1,e0) != e1
| op(op(e1,e0),e1) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e1),op(op(e1,e0),e1)) )],[refute_5_32,refute_5_33]) ).
cnf(refute_5_35,plain,
op(op(e1,e0),e1) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_5_31,refute_5_34]) ).
cnf(refute_5_36,plain,
( op(e1,e1) != e0
| op(op(e1,e0),e1) != op(e1,e1)
| op(op(e1,e0),e1) = e0 ),
inference(subst,[],[refute_5_17:[bind(X,$fot(op(op(e1,e0),e1))),bind(Y,$fot(op(e1,e1))),bind(Z,$fot(e0))]]) ).
cnf(refute_5_37,plain,
( op(e1,e1) != e0
| op(op(e1,e0),e1) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e1),op(e1,e1)) )],[refute_5_35,refute_5_36]) ).
cnf(refute_5_38,plain,
op(op(e1,e0),e1) = e0,
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_5_25,refute_5_37]) ).
cnf(refute_5_39,plain,
( e0 != e0
| op(op(e1,e0),e1) != e0
| op(op(e1,e0),e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),e1),e0) ),[0,0,1],$fot(e0)]]) ).
cnf(refute_5_40,plain,
( e0 != e0
| op(op(e1,e0),e1) = e0 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e1),e0) )],[refute_5_38,refute_5_39]) ).
cnf(refute_5_41,plain,
e0 != e0,
inference(resolve,[$cnf( $equal(op(op(e1,e0),e1),e0) )],[refute_5_40,refute_5_0]) ).
cnf(refute_5_42,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_5_30,refute_5_41]) ).
fof(negate_6_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1 )
=> op(op(e1,e1),e1) = e1 ),
inference(negate,[],[subgoal_6]) ).
fof(normalize_6_0,plain,
$false,
inference(canonicalize,[],[negate_6_0]) ).
cnf(refute_6_0,plain,
$false,
inference(canonicalize,[],[normalize_6_0]) ).
fof(negate_7_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1 )
=> op(op(e1,e2),e1) = e2 ),
inference(negate,[],[subgoal_7]) ).
fof(normalize_7_0,plain,
( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 ) ),
inference(canonicalize,[],[negate_7_0]) ).
fof(normalize_7_1,plain,
op(op(e1,e2),e2) = e1,
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_2,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_7_3,plain,
op(e0,e3) != op(e1,e3),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_4,plain,
( ( 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(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = 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(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = 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(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_7_5,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_6,plain,
op(e1,e4) != op(e2,e4),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_7,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_7_8,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_7_7]) ).
fof(normalize_7_9,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_10,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_7_7]) ).
fof(normalize_7_11,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_7_7]) ).
fof(normalize_7_12,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_7_13,plain,
e0 != e3,
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_14,plain,
e1 != e3,
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_15,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_7_16,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_7_15]) ).
fof(normalize_7_17,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_7_15]) ).
fof(normalize_7_18,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_7_15]) ).
fof(normalize_7_19,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_7_15]) ).
fof(normalize_7_20,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_7_15]) ).
fof(normalize_7_21,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_7_15]) ).
fof(normalize_7_22,plain,
e1 != e2,
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_23,plain,
e0 != e1,
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_24,plain,
e3 != e4,
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_25,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_26,plain,
op(e3,e2) != op(e4,e2),
inference(conjunct,[],[normalize_7_2]) ).
cnf(refute_7_0,plain,
op(op(e1,e2),e2) = e1,
inference(canonicalize,[],[normalize_7_1]) ).
cnf(refute_7_1,plain,
op(e0,e3) != op(e1,e3),
inference(canonicalize,[],[normalize_7_3]) ).
cnf(refute_7_2,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(canonicalize,[],[normalize_7_5]) ).
cnf(refute_7_3,plain,
op(e1,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_7_6]) ).
cnf(refute_7_4,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_7_8]) ).
cnf(refute_7_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_7_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_7_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_7_5,refute_7_6]) ).
cnf(refute_7_8,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_7_7:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_7_9,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_7_4,refute_7_8]) ).
cnf(refute_7_10,plain,
( op(e1,e4) != e3
| op(e2,e4) != e3
| op(e1,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_7_11,plain,
( op(e1,e4) != e3
| op(e1,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_7_9,refute_7_10]) ).
cnf(refute_7_12,plain,
op(e1,e4) != e3,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e2,e4)) )],[refute_7_11,refute_7_3]) ).
cnf(refute_7_13,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_7_2,refute_7_12]) ).
cnf(refute_7_14,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_7_9]) ).
cnf(refute_7_15,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_7_10]) ).
cnf(refute_7_16,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_7_11]) ).
cnf(refute_7_17,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_7_7:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_7_18,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_7_16,refute_7_17]) ).
cnf(refute_7_19,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_7_20,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_7_21,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_7_19,refute_7_20]) ).
cnf(refute_7_22,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_7_18,refute_7_21]) ).
cnf(refute_7_23,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_7_24,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_7_25,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_7_23,refute_7_24]) ).
cnf(refute_7_26,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_7_18,refute_7_25]) ).
cnf(refute_7_27,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_7_28,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_7_7,refute_7_27]) ).
cnf(refute_7_29,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_7_28:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_7_30,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_7_26,refute_7_29]) ).
cnf(refute_7_31,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_7_22,refute_7_30]) ).
cnf(refute_7_32,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_7_33,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_7_31,refute_7_32]) ).
cnf(refute_7_34,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_7_15,refute_7_33]) ).
cnf(refute_7_35,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_7_7:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_7_36,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_7_34,refute_7_35]) ).
cnf(refute_7_37,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_7_38,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_7_36,refute_7_37]) ).
cnf(refute_7_39,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_7_38,refute_7_14]) ).
cnf(refute_7_40,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_7_41,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_7_40,refute_7_39]) ).
cnf(refute_7_42,plain,
( op(e1,e0) != e1
| op(e1,e0) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e3) ),[0],$fot(e1)]]) ).
cnf(refute_7_43,plain,
( op(e1,e0) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_7_41,refute_7_42]) ).
cnf(refute_7_44,plain,
( e1 = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_7_13,refute_7_43]) ).
cnf(refute_7_45,plain,
( op(e1,e1) != e0
| op(e1,e1) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e3) ),[0],$fot(e0)]]) ).
cnf(refute_7_46,plain,
( op(e1,e1) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_7_36,refute_7_45]) ).
cnf(refute_7_47,plain,
( e0 = e3
| e1 = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_7_44,refute_7_46]) ).
cnf(refute_7_48,plain,
e0 != e3,
inference(canonicalize,[],[normalize_7_13]) ).
cnf(refute_7_49,plain,
( e1 = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_7_47,refute_7_48]) ).
cnf(refute_7_50,plain,
e1 != e3,
inference(canonicalize,[],[normalize_7_14]) ).
cnf(refute_7_51,plain,
( op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_7_49,refute_7_50]) ).
cnf(refute_7_52,plain,
( op(e0,e3) != e3
| op(e1,e3) != e3
| op(e0,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e1,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_7_53,plain,
( op(e0,e3) != e3
| op(e0,e3) = op(e1,e3)
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_7_51,refute_7_52]) ).
cnf(refute_7_54,plain,
( op(e0,e3) != e3
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e1,e3)) )],[refute_7_53,refute_7_1]) ).
cnf(refute_7_55,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_7_16]) ).
cnf(refute_7_56,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_7_17]) ).
cnf(refute_7_57,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_7_18]) ).
cnf(refute_7_58,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_7_19]) ).
cnf(refute_7_59,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_7_20]) ).
cnf(refute_7_60,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_7_21]) ).
cnf(refute_7_61,plain,
( op(unit,e2) != e2
| unit != e4
| op(e4,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_7_62,plain,
( op(unit,e2) != e2
| op(e4,e2) = e2
| unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_7_60,refute_7_61]) ).
cnf(refute_7_63,plain,
( op(e4,e2) = e2
| unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_7_59,refute_7_62]) ).
cnf(refute_7_64,plain,
( op(e4,e2) != e1
| op(e4,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_7_65,plain,
( op(e4,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_7_18,refute_7_64]) ).
cnf(refute_7_66,plain,
( e1 = e2
| unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_7_63,refute_7_65]) ).
cnf(refute_7_67,plain,
e1 != e2,
inference(canonicalize,[],[normalize_7_22]) ).
cnf(refute_7_68,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_7_66,refute_7_67]) ).
cnf(refute_7_69,plain,
( op(unit,e1) != e1
| unit != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_7_70,plain,
( op(unit,e1) != e1
| op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_7_68,refute_7_69]) ).
cnf(refute_7_71,plain,
( op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_7_58,refute_7_70]) ).
cnf(refute_7_72,plain,
( op(e1,e1) != e0
| op(e1,e1) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e0)]]) ).
cnf(refute_7_73,plain,
( op(e1,e1) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_7_36,refute_7_72]) ).
cnf(refute_7_74,plain,
( e0 = e1
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_7_71,refute_7_73]) ).
cnf(refute_7_75,plain,
e0 != e1,
inference(canonicalize,[],[normalize_7_23]) ).
cnf(refute_7_76,plain,
( unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_7_74,refute_7_75]) ).
cnf(refute_7_77,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_7_78,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_7_76,refute_7_77]) ).
cnf(refute_7_79,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_7_57,refute_7_78]) ).
cnf(refute_7_80,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_7_81,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_7_9,refute_7_80]) ).
cnf(refute_7_82,plain,
( e3 = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_7_79,refute_7_81]) ).
cnf(refute_7_83,plain,
e3 != e4,
inference(canonicalize,[],[normalize_7_24]) ).
cnf(refute_7_84,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_7_82,refute_7_83]) ).
cnf(refute_7_85,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_7_86,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_7_84,refute_7_85]) ).
cnf(refute_7_87,plain,
( op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_7_56,refute_7_86]) ).
cnf(refute_7_88,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_7_25]) ).
cnf(refute_7_89,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_7_90,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_7_41,refute_7_89]) ).
cnf(refute_7_91,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_7_90,refute_7_88]) ).
cnf(refute_7_92,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_7_7:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_7_93,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_7_92,refute_7_91]) ).
cnf(refute_7_94,plain,
unit = e0,
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_7_87,refute_7_93]) ).
cnf(refute_7_95,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_7_96,plain,
( op(unit,e3) != op(unit,e3)
| unit != e0
| op(unit,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_7_97,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_7_95,refute_7_96]) ).
cnf(refute_7_98,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_7_94,refute_7_97]) ).
cnf(refute_7_99,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_7_100,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_7_98,refute_7_99]) ).
cnf(refute_7_101,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_7_55,refute_7_100]) ).
cnf(refute_7_102,plain,
( e3 != e3
| op(e0,e3) != e3
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[0,1],$fot(e3)]]) ).
cnf(refute_7_103,plain,
( e3 != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_7_101,refute_7_102]) ).
cnf(refute_7_104,plain,
( e3 != e3
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_7_103,refute_7_54]) ).
cnf(refute_7_105,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_7_106,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_7_105,refute_7_104]) ).
cnf(refute_7_107,plain,
op(op(e1,e2),e2) = op(op(e1,e2),e2),
introduced(tautology,[refl,[$fot(op(op(e1,e2),e2))]]) ).
cnf(refute_7_108,plain,
( op(e1,e2) != e3
| op(op(e1,e2),e2) != op(op(e1,e2),e2)
| op(op(e1,e2),e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e2),op(op(e1,e2),e2)) ),[1,0],$fot(e3)]]) ).
cnf(refute_7_109,plain,
( op(e1,e2) != e3
| op(op(e1,e2),e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),op(op(e1,e2),e2)) )],[refute_7_107,refute_7_108]) ).
cnf(refute_7_110,plain,
op(op(e1,e2),e2) = op(e3,e2),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_7_106,refute_7_109]) ).
cnf(refute_7_111,plain,
( op(op(e1,e2),e2) != e1
| op(op(e1,e2),e2) != op(e3,e2)
| op(e3,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e2),e1) ),[0],$fot(op(e3,e2))]]) ).
cnf(refute_7_112,plain,
( op(op(e1,e2),e2) != e1
| op(e3,e2) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),op(e3,e2)) )],[refute_7_110,refute_7_111]) ).
cnf(refute_7_113,plain,
op(e3,e2) = e1,
inference(resolve,[$cnf( $equal(op(op(e1,e2),e2),e1) )],[refute_7_0,refute_7_112]) ).
cnf(refute_7_114,plain,
op(e3,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_7_26]) ).
cnf(refute_7_115,plain,
( op(e3,e2) != e1
| op(e4,e2) != e1
| op(e3,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e4,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_7_116,plain,
( op(e3,e2) != e1
| op(e3,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_7_18,refute_7_115]) ).
cnf(refute_7_117,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e4,e2)) )],[refute_7_116,refute_7_114]) ).
cnf(refute_7_118,plain,
$false,
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_7_113,refute_7_117]) ).
fof(negate_8_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1 )
=> op(op(e1,e3),e1) = e3 ),
inference(negate,[],[subgoal_8]) ).
fof(normalize_8_0,plain,
( ( 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(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = 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(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = 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(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_8_1,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_2,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_8_3,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_4,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_8_5,plain,
e1 != e3,
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_6,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_8_7,plain,
op(e2,e2) != op(e2,e4),
inference(conjunct,[],[normalize_8_6]) ).
fof(normalize_8_8,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_9,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_8_10,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_11,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_12,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_13,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_14,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_15,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_16,plain,
e0 != e1,
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_17,plain,
e1 != e4,
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_18,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_8_6]) ).
fof(normalize_8_19,plain,
( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 ) ),
inference(canonicalize,[],[negate_8_0]) ).
fof(normalize_8_20,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_21,plain,
op(e4,e1) != op(e4,e2),
inference(conjunct,[],[normalize_8_6]) ).
fof(normalize_8_22,plain,
e2 != e3,
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_23,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_8_6]) ).
fof(normalize_8_24,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_25,plain,
op(op(e1,e3),e3) = e1,
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_26,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_27,plain,
e1 != e2,
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_28,plain,
e2 != e4,
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_29,plain,
( op(e4,e4) != e2
| op(e4,e2) = e4 ),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_30,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_31,plain,
op(e2,e4) != op(e4,e4),
inference(conjunct,[],[normalize_8_6]) ).
fof(normalize_8_32,plain,
e3 != e4,
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_33,plain,
op(e0,e3) != op(e4,e3),
inference(conjunct,[],[normalize_8_6]) ).
fof(normalize_8_34,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_35,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_36,plain,
( op(e3,e3) != e1
| op(e3,e1) = e3 ),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_37,plain,
( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_38,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_39,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_40,plain,
op(e3,e2) != op(e4,e2),
inference(conjunct,[],[normalize_8_6]) ).
fof(normalize_8_41,plain,
op(e0,e1) != op(e3,e1),
inference(conjunct,[],[normalize_8_6]) ).
fof(normalize_8_42,plain,
op(e3,e0) != op(e3,e1),
inference(conjunct,[],[normalize_8_6]) ).
fof(normalize_8_43,plain,
e0 != e4,
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_44,plain,
e0 != e3,
inference(conjunct,[],[normalize_8_4]) ).
cnf(refute_8_0,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(canonicalize,[],[normalize_8_1]) ).
cnf(refute_8_1,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_8_3]) ).
cnf(refute_8_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_8_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_8_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_8_2,refute_8_3]) ).
cnf(refute_8_5,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_8_6,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_8_1,refute_8_5]) ).
cnf(refute_8_7,plain,
( op(e4,e2) != e1
| op(e4,e2) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e3) ),[0],$fot(e1)]]) ).
cnf(refute_8_8,plain,
( op(e4,e2) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_8_6,refute_8_7]) ).
cnf(refute_8_9,plain,
( e1 = e3
| op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_8_0,refute_8_8]) ).
cnf(refute_8_10,plain,
e1 != e3,
inference(canonicalize,[],[normalize_8_5]) ).
cnf(refute_8_11,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_8_9,refute_8_10]) ).
cnf(refute_8_12,plain,
op(e2,e2) != op(e2,e4),
inference(canonicalize,[],[normalize_8_7]) ).
cnf(refute_8_13,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_8_8]) ).
cnf(refute_8_14,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_8_15,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_8_13,refute_8_14]) ).
cnf(refute_8_16,plain,
( op(e2,e2) != e3
| op(e2,e4) != e3
| op(e2,e2) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e2),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_8_17,plain,
( op(e2,e2) != e3
| op(e2,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_8_15,refute_8_16]) ).
cnf(refute_8_18,plain,
op(e2,e2) != e3,
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e4)) )],[refute_8_17,refute_8_12]) ).
cnf(refute_8_19,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_8_11,refute_8_18]) ).
cnf(refute_8_20,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_8_10]) ).
cnf(refute_8_21,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_8_11]) ).
cnf(refute_8_22,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_8_12]) ).
cnf(refute_8_23,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_8_13]) ).
cnf(refute_8_24,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_8_14]) ).
cnf(refute_8_25,plain,
( op(unit,e1) != e1
| unit != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_8_26,plain,
( op(unit,e1) != e1
| op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_8_24,refute_8_25]) ).
cnf(refute_8_27,plain,
( op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_8_21,refute_8_26]) ).
cnf(refute_8_28,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_8_15]) ).
cnf(refute_8_29,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_8_30,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_8_31,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_8_29,refute_8_30]) ).
cnf(refute_8_32,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_8_6,refute_8_31]) ).
cnf(refute_8_33,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_8_34,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_8_35,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_8_33,refute_8_34]) ).
cnf(refute_8_36,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_8_6,refute_8_35]) ).
cnf(refute_8_37,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_8_38,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_8_4,refute_8_37]) ).
cnf(refute_8_39,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_8_38:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_8_40,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_8_36,refute_8_39]) ).
cnf(refute_8_41,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_8_32,refute_8_40]) ).
cnf(refute_8_42,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_8_43,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_8_41,refute_8_42]) ).
cnf(refute_8_44,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_8_28,refute_8_43]) ).
cnf(refute_8_45,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_8_46,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_8_44,refute_8_45]) ).
cnf(refute_8_47,plain,
( op(e1,e1) != e0
| op(e1,e1) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e0)]]) ).
cnf(refute_8_48,plain,
( op(e1,e1) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_8_46,refute_8_47]) ).
cnf(refute_8_49,plain,
( e0 = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_8_27,refute_8_48]) ).
cnf(refute_8_50,plain,
e0 != e1,
inference(canonicalize,[],[normalize_8_16]) ).
cnf(refute_8_51,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_8_49,refute_8_50]) ).
cnf(refute_8_52,plain,
( op(e4,unit) != e4
| unit != e2
| op(e4,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e2)]]) ).
cnf(refute_8_53,plain,
( op(e4,unit) != e4
| op(e4,e2) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_8_51,refute_8_52]) ).
cnf(refute_8_54,plain,
( op(e4,e2) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_8_23,refute_8_53]) ).
cnf(refute_8_55,plain,
( op(e4,e2) != e1
| op(e4,e2) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e4) ),[0],$fot(e1)]]) ).
cnf(refute_8_56,plain,
( op(e4,e2) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_8_6,refute_8_55]) ).
cnf(refute_8_57,plain,
( e1 = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_8_54,refute_8_56]) ).
cnf(refute_8_58,plain,
e1 != e4,
inference(canonicalize,[],[normalize_8_17]) ).
cnf(refute_8_59,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_8_57,refute_8_58]) ).
cnf(refute_8_60,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_8_61,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_8_59,refute_8_60]) ).
cnf(refute_8_62,plain,
( op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_8_22,refute_8_61]) ).
cnf(refute_8_63,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_8_18]) ).
cnf(refute_8_64,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_8_20]) ).
cnf(refute_8_65,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_8_66,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_8_46,refute_8_65]) ).
cnf(refute_8_67,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_8_66,refute_8_64]) ).
cnf(refute_8_68,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_8_69,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_8_68,refute_8_67]) ).
cnf(refute_8_70,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_8_71,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_8_69,refute_8_70]) ).
cnf(refute_8_72,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_8_71,refute_8_63]) ).
cnf(refute_8_73,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_8_74,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_8_73,refute_8_72]) ).
cnf(refute_8_75,plain,
( unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_8_62,refute_8_74]) ).
cnf(refute_8_76,plain,
( op(unit,e1) != e1
| unit != e4
| op(e4,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e4)]]) ).
cnf(refute_8_77,plain,
( op(unit,e1) != e1
| op(e4,e1) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_8_75,refute_8_76]) ).
cnf(refute_8_78,plain,
( op(e4,e1) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_8_21,refute_8_77]) ).
cnf(refute_8_79,plain,
op(e4,e1) != op(e4,e2),
inference(canonicalize,[],[normalize_8_21]) ).
cnf(refute_8_80,plain,
( op(e4,e1) != e1
| op(e4,e2) != e1
| op(e4,e1) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e1),op(e4,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_8_81,plain,
( op(e4,e1) != e1
| op(e4,e1) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_8_6,refute_8_80]) ).
cnf(refute_8_82,plain,
op(e4,e1) != e1,
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e2)) )],[refute_8_81,refute_8_79]) ).
cnf(refute_8_83,plain,
unit = e0,
inference(resolve,[$cnf( $equal(op(e4,e1),e1) )],[refute_8_78,refute_8_82]) ).
cnf(refute_8_84,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_8_85,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_8_86,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_8_84,refute_8_85]) ).
cnf(refute_8_87,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_83,refute_8_86]) ).
cnf(refute_8_88,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_8_89,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_8_87,refute_8_88]) ).
cnf(refute_8_90,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_8_20,refute_8_89]) ).
cnf(refute_8_91,plain,
( op(e0,e2) != e2
| op(e0,e2) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e3) ),[0],$fot(e2)]]) ).
cnf(refute_8_92,plain,
( op(e0,e2) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_8_90,refute_8_91]) ).
cnf(refute_8_93,plain,
( e2 = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_8_19,refute_8_92]) ).
cnf(refute_8_94,plain,
e2 != e3,
inference(canonicalize,[],[normalize_8_22]) ).
cnf(refute_8_95,plain,
( op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_8_93,refute_8_94]) ).
cnf(refute_8_96,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_8_23]) ).
cnf(refute_8_97,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_8_24]) ).
cnf(refute_8_98,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_8_99,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_8_100,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_8_98,refute_8_99]) ).
cnf(refute_8_101,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_83,refute_8_100]) ).
cnf(refute_8_102,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_8_103,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_8_101,refute_8_102]) ).
cnf(refute_8_104,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_8_97,refute_8_103]) ).
cnf(refute_8_105,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_8_106,plain,
( e3 != op(e3,e2)
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_8_104,refute_8_105]) ).
cnf(refute_8_107,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_8_106,refute_8_96]) ).
cnf(refute_8_108,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_8_109,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_8_108,refute_8_107]) ).
cnf(refute_8_110,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_8_95,refute_8_109]) ).
cnf(refute_8_111,plain,
op(op(e1,e3),e3) = e1,
inference(canonicalize,[],[normalize_8_25]) ).
cnf(refute_8_112,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(canonicalize,[],[normalize_8_26]) ).
cnf(refute_8_113,plain,
( op(e4,e2) != e1
| op(e4,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_8_114,plain,
( op(e4,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_8_6,refute_8_113]) ).
cnf(refute_8_115,plain,
( e1 = e2
| op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_8_112,refute_8_114]) ).
cnf(refute_8_116,plain,
e1 != e2,
inference(canonicalize,[],[normalize_8_27]) ).
cnf(refute_8_117,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_8_115,refute_8_116]) ).
cnf(refute_8_118,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_8_119,plain,
( op(e4,unit) != op(e4,unit)
| unit != e0
| op(e4,unit) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_8_120,plain,
( unit != e0
| op(e4,unit) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_8_118,refute_8_119]) ).
cnf(refute_8_121,plain,
op(e4,unit) = op(e4,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_83,refute_8_120]) ).
cnf(refute_8_122,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e0)
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_8_123,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e0)) )],[refute_8_121,refute_8_122]) ).
cnf(refute_8_124,plain,
op(e4,e0) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_8_23,refute_8_123]) ).
cnf(refute_8_125,plain,
( op(e4,e0) != e2
| op(e4,e0) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e2) ),[0],$fot(e4)]]) ).
cnf(refute_8_126,plain,
( op(e4,e0) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_8_124,refute_8_125]) ).
cnf(refute_8_127,plain,
( e4 = e2
| op(e4,e1) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e2) )],[refute_8_117,refute_8_126]) ).
cnf(refute_8_128,plain,
e2 != e4,
inference(canonicalize,[],[normalize_8_28]) ).
cnf(refute_8_129,plain,
( e4 != e2
| e2 = e4 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e4)),bind(Y,$fot(e2))]]) ).
cnf(refute_8_130,plain,
e4 != e2,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_8_129,refute_8_128]) ).
cnf(refute_8_131,plain,
( op(e4,e1) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_8_127,refute_8_130]) ).
cnf(refute_8_132,plain,
( op(e4,e4) != e2
| op(e4,e2) = e4 ),
inference(canonicalize,[],[normalize_8_29]) ).
cnf(refute_8_133,plain,
( op(e4,e4) != e2
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_8_132,refute_8_56]) ).
cnf(refute_8_134,plain,
op(e4,e4) != e2,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_8_133,refute_8_58]) ).
cnf(refute_8_135,plain,
( op(e4,e1) = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_8_131,refute_8_134]) ).
cnf(refute_8_136,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_8_30]) ).
cnf(refute_8_137,plain,
( e1 = e3
| op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_8_136,refute_8_8]) ).
cnf(refute_8_138,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_8_137,refute_8_10]) ).
cnf(refute_8_139,plain,
op(e2,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_8_31]) ).
cnf(refute_8_140,plain,
( e3 != op(e4,e4)
| op(e2,e4) != e3
| op(e2,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e3) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_8_141,plain,
( e3 != op(e4,e4)
| op(e2,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_8_15,refute_8_140]) ).
cnf(refute_8_142,plain,
e3 != op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e4,e4)) )],[refute_8_141,refute_8_139]) ).
cnf(refute_8_143,plain,
( op(e4,e4) != e3
| e3 = op(e4,e4) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(e3))]]) ).
cnf(refute_8_144,plain,
op(e4,e4) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e4)) )],[refute_8_143,refute_8_142]) ).
cnf(refute_8_145,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_8_138,refute_8_144]) ).
cnf(refute_8_146,plain,
( op(e4,e0) != e3
| op(e4,e0) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e3) ),[0],$fot(e4)]]) ).
cnf(refute_8_147,plain,
( op(e4,e0) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_8_124,refute_8_146]) ).
cnf(refute_8_148,plain,
( e4 = e3
| op(e4,e1) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_8_145,refute_8_147]) ).
cnf(refute_8_149,plain,
e3 != e4,
inference(canonicalize,[],[normalize_8_32]) ).
cnf(refute_8_150,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_8_151,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_8_150,refute_8_149]) ).
cnf(refute_8_152,plain,
( op(e4,e1) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_8_148,refute_8_151]) ).
cnf(refute_8_153,plain,
op(e0,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_8_33]) ).
cnf(refute_8_154,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_8_34]) ).
cnf(refute_8_155,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_8_156,plain,
( op(unit,e3) != op(unit,e3)
| unit != e0
| op(unit,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_8_157,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_8_155,refute_8_156]) ).
cnf(refute_8_158,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_83,refute_8_157]) ).
cnf(refute_8_159,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_8_160,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_8_158,refute_8_159]) ).
cnf(refute_8_161,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_8_154,refute_8_160]) ).
cnf(refute_8_162,plain,
( e3 != op(e4,e3)
| op(e0,e3) != e3
| op(e0,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_8_163,plain,
( e3 != op(e4,e3)
| op(e0,e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_8_161,refute_8_162]) ).
cnf(refute_8_164,plain,
e3 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e4,e3)) )],[refute_8_163,refute_8_153]) ).
cnf(refute_8_165,plain,
( op(e4,e3) != e3
| e3 = op(e4,e3) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_8_166,plain,
op(e4,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e3)) )],[refute_8_165,refute_8_164]) ).
cnf(refute_8_167,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_8_152,refute_8_166]) ).
cnf(refute_8_168,plain,
( op(e4,e1) != e2
| op(e4,e1) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e2) ),[0],$fot(e3)]]) ).
cnf(refute_8_169,plain,
( op(e4,e1) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_8_167,refute_8_168]) ).
cnf(refute_8_170,plain,
( e3 = e2
| op(e4,e3) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_8_135,refute_8_169]) ).
cnf(refute_8_171,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_8_172,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_8_171,refute_8_94]) ).
cnf(refute_8_173,plain,
op(e4,e3) = e2,
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_8_170,refute_8_172]) ).
cnf(refute_8_174,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(canonicalize,[],[normalize_8_35]) ).
cnf(refute_8_175,plain,
( op(e1,e0) != e1
| op(e1,e0) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e4) ),[0],$fot(e1)]]) ).
cnf(refute_8_176,plain,
( op(e1,e0) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_8_69,refute_8_175]) ).
cnf(refute_8_177,plain,
( e1 = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_8_174,refute_8_176]) ).
cnf(refute_8_178,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[0],$fot(e0)]]) ).
cnf(refute_8_179,plain,
( op(e1,e1) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_8_46,refute_8_178]) ).
cnf(refute_8_180,plain,
( e0 = e4
| e1 = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_8_177,refute_8_179]) ).
cnf(refute_8_181,plain,
( op(e1,e2) != e3
| op(e1,e2) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e4) ),[0],$fot(e3)]]) ).
cnf(refute_8_182,plain,
( op(e1,e2) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_8_110,refute_8_181]) ).
cnf(refute_8_183,plain,
( e0 = e4
| e1 = e4
| e3 = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_8_180,refute_8_182]) ).
cnf(refute_8_184,plain,
( op(e3,e3) != e1
| op(e3,e1) = e3 ),
inference(canonicalize,[],[normalize_8_36]) ).
cnf(refute_8_185,plain,
( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
inference(canonicalize,[],[normalize_8_37]) ).
cnf(refute_8_186,plain,
( op(e2,e4) != e2
| op(e2,e4) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e2) ),[0],$fot(e3)]]) ).
cnf(refute_8_187,plain,
( op(e2,e4) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_8_15,refute_8_186]) ).
cnf(refute_8_188,plain,
( e3 = e2
| op(e0,e4) = e2
| op(e1,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e2) )],[refute_8_185,refute_8_187]) ).
cnf(refute_8_189,plain,
( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_8_188,refute_8_172]) ).
cnf(refute_8_190,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_8_38]) ).
cnf(refute_8_191,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_8_192,plain,
( op(unit,e4) != op(unit,e4)
| unit != e0
| op(unit,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_8_193,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_8_191,refute_8_192]) ).
cnf(refute_8_194,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_83,refute_8_193]) ).
cnf(refute_8_195,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_8_196,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_8_194,refute_8_195]) ).
cnf(refute_8_197,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_8_190,refute_8_196]) ).
cnf(refute_8_198,plain,
( op(e0,e4) != e2
| op(e0,e4) != e4
| e4 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e2) ),[0],$fot(e4)]]) ).
cnf(refute_8_199,plain,
( op(e0,e4) != e2
| e4 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_8_197,refute_8_198]) ).
cnf(refute_8_200,plain,
( e4 = e2
| op(e1,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e2) )],[refute_8_189,refute_8_199]) ).
cnf(refute_8_201,plain,
( op(e1,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
inference(resolve,[$cnf( $equal(e4,e2) )],[refute_8_200,refute_8_130]) ).
cnf(refute_8_202,plain,
( op(e1,e4) = e2
| op(e3,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_8_201,refute_8_134]) ).
cnf(refute_8_203,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 ),
inference(canonicalize,[],[normalize_8_39]) ).
cnf(refute_8_204,plain,
op(e3,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_8_40]) ).
cnf(refute_8_205,plain,
( op(e3,e2) != e1
| op(e4,e2) != e1
| op(e3,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e4,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_8_206,plain,
( op(e3,e2) != e1
| op(e3,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_8_6,refute_8_205]) ).
cnf(refute_8_207,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e4,e2)) )],[refute_8_206,refute_8_204]) ).
cnf(refute_8_208,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_8_203,refute_8_207]) ).
cnf(refute_8_209,plain,
( op(e3,e0) != e1
| op(e3,e0) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e1) ),[0],$fot(e3)]]) ).
cnf(refute_8_210,plain,
( op(e3,e0) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_8_104,refute_8_209]) ).
cnf(refute_8_211,plain,
( e3 = e1
| op(e3,e1) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_8_208,refute_8_210]) ).
cnf(refute_8_212,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_8_213,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_8_212,refute_8_10]) ).
cnf(refute_8_214,plain,
( op(e3,e1) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_8_211,refute_8_213]) ).
cnf(refute_8_215,plain,
op(e0,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_8_41]) ).
cnf(refute_8_216,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_8_217,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_8_218,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_8_216,refute_8_217]) ).
cnf(refute_8_219,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_8_83,refute_8_218]) ).
cnf(refute_8_220,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_8_221,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_8_219,refute_8_220]) ).
cnf(refute_8_222,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_8_21,refute_8_221]) ).
cnf(refute_8_223,plain,
( e1 != op(e3,e1)
| op(e0,e1) != e1
| op(e0,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_8_224,plain,
( e1 != op(e3,e1)
| op(e0,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_8_222,refute_8_223]) ).
cnf(refute_8_225,plain,
e1 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e3,e1)) )],[refute_8_224,refute_8_215]) ).
cnf(refute_8_226,plain,
( op(e3,e1) != e1
| e1 = op(e3,e1) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e1))]]) ).
cnf(refute_8_227,plain,
op(e3,e1) != e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e1)) )],[refute_8_226,refute_8_225]) ).
cnf(refute_8_228,plain,
( op(e3,e3) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_8_214,refute_8_227]) ).
cnf(refute_8_229,plain,
( op(e3,e4) != e1
| op(e3,e4) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e2) ),[0],$fot(e1)]]) ).
cnf(refute_8_230,plain,
( op(e3,e4) != e2
| e1 = e2
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_8_228,refute_8_229]) ).
cnf(refute_8_231,plain,
( e1 = e2
| op(e1,e4) = e2
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_8_202,refute_8_230]) ).
cnf(refute_8_232,plain,
( op(e1,e4) = e2
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_8_231,refute_8_116]) ).
cnf(refute_8_233,plain,
( e1 != e1
| op(e3,e3) != e1
| op(e3,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e1) ),[1],$fot(e1)]]) ).
cnf(refute_8_234,plain,
( e1 != e1
| op(e1,e4) = e2
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_8_232,refute_8_233]) ).
cnf(refute_8_235,plain,
( e1 != e1
| op(e1,e4) = e2
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_8_234,refute_8_184]) ).
cnf(refute_8_236,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_8_237,plain,
( op(e1,e4) = e2
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_8_236,refute_8_235]) ).
cnf(refute_8_238,plain,
op(e3,e0) != op(e3,e1),
inference(canonicalize,[],[normalize_8_42]) ).
cnf(refute_8_239,plain,
( e3 != op(e3,e1)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_8_240,plain,
( e3 != op(e3,e1)
| op(e3,e0) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_8_104,refute_8_239]) ).
cnf(refute_8_241,plain,
e3 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e1)) )],[refute_8_240,refute_8_238]) ).
cnf(refute_8_242,plain,
( op(e3,e1) != e3
| e3 = op(e3,e1) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e3))]]) ).
cnf(refute_8_243,plain,
op(e3,e1) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e1)) )],[refute_8_242,refute_8_241]) ).
cnf(refute_8_244,plain,
op(e1,e4) = e2,
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_8_237,refute_8_243]) ).
cnf(refute_8_245,plain,
( op(e1,e4) != e2
| op(e1,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_8_246,plain,
( op(e1,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e2) )],[refute_8_244,refute_8_245]) ).
cnf(refute_8_247,plain,
( e0 = e4
| e1 = e4
| e2 = e4
| e3 = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_8_183,refute_8_246]) ).
cnf(refute_8_248,plain,
e0 != e4,
inference(canonicalize,[],[normalize_8_43]) ).
cnf(refute_8_249,plain,
( e1 = e4
| e2 = e4
| e3 = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_8_247,refute_8_248]) ).
cnf(refute_8_250,plain,
( e2 = e4
| e3 = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_8_249,refute_8_58]) ).
cnf(refute_8_251,plain,
( e3 = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_8_250,refute_8_128]) ).
cnf(refute_8_252,plain,
op(e1,e3) = e4,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_8_251,refute_8_149]) ).
cnf(refute_8_253,plain,
op(op(e1,e3),e3) = op(op(e1,e3),e3),
introduced(tautology,[refl,[$fot(op(op(e1,e3),e3))]]) ).
cnf(refute_8_254,plain,
( op(e1,e3) != e4
| op(op(e1,e3),e3) != op(op(e1,e3),e3)
| op(op(e1,e3),e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),e3),op(op(e1,e3),e3)) ),[1,0],$fot(e4)]]) ).
cnf(refute_8_255,plain,
( op(e1,e3) != e4
| op(op(e1,e3),e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e3),op(op(e1,e3),e3)) )],[refute_8_253,refute_8_254]) ).
cnf(refute_8_256,plain,
op(op(e1,e3),e3) = op(e4,e3),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_8_252,refute_8_255]) ).
cnf(refute_8_257,plain,
( op(e4,e3) != e2
| op(op(e1,e3),e3) != op(e4,e3)
| op(op(e1,e3),e3) = e2 ),
inference(subst,[],[refute_8_38:[bind(X,$fot(op(op(e1,e3),e3))),bind(Y,$fot(op(e4,e3))),bind(Z,$fot(e2))]]) ).
cnf(refute_8_258,plain,
( op(e4,e3) != e2
| op(op(e1,e3),e3) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e3),op(e4,e3)) )],[refute_8_256,refute_8_257]) ).
cnf(refute_8_259,plain,
op(op(e1,e3),e3) = e2,
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_8_173,refute_8_258]) ).
cnf(refute_8_260,plain,
( op(op(e1,e3),e3) != e1
| op(op(e1,e3),e3) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e3),e3),e1) ),[0],$fot(e2)]]) ).
cnf(refute_8_261,plain,
( op(op(e1,e3),e3) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e3),e3),e2) )],[refute_8_259,refute_8_260]) ).
cnf(refute_8_262,plain,
e2 = e1,
inference(resolve,[$cnf( $equal(op(op(e1,e3),e3),e1) )],[refute_8_111,refute_8_261]) ).
cnf(refute_8_263,plain,
op(e1,e2) = op(e1,e2),
introduced(tautology,[refl,[$fot(op(e1,e2))]]) ).
cnf(refute_8_264,plain,
( e2 != e1
| op(e1,e2) != op(e1,e2)
| op(e1,e2) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),op(e1,e2)) ),[1,1],$fot(e1)]]) ).
cnf(refute_8_265,plain,
( e2 != e1
| op(e1,e2) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e2)) )],[refute_8_263,refute_8_264]) ).
cnf(refute_8_266,plain,
op(e1,e2) = op(e1,e1),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_8_262,refute_8_265]) ).
cnf(refute_8_267,plain,
( op(e1,e1) != e0
| op(e1,e2) != op(e1,e1)
| op(e1,e2) = e0 ),
inference(subst,[],[refute_8_38:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(op(e1,e1))),bind(Z,$fot(e0))]]) ).
cnf(refute_8_268,plain,
( op(e1,e1) != e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e1)) )],[refute_8_266,refute_8_267]) ).
cnf(refute_8_269,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_8_46,refute_8_268]) ).
cnf(refute_8_270,plain,
( op(e1,e2) != e0
| op(e1,e2) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e3) ),[0],$fot(e0)]]) ).
cnf(refute_8_271,plain,
( op(e1,e2) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_8_269,refute_8_270]) ).
cnf(refute_8_272,plain,
e0 = e3,
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_8_110,refute_8_271]) ).
cnf(refute_8_273,plain,
e0 != e3,
inference(canonicalize,[],[normalize_8_44]) ).
cnf(refute_8_274,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_8_272,refute_8_273]) ).
fof(negate_9_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1 )
=> op(op(e1,e4),e1) = e4 ),
inference(negate,[],[subgoal_9]) ).
fof(normalize_9_0,plain,
( ( 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(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = 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(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = 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(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_9_1,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_2,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_9_3,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_9_2]) ).
fof(normalize_9_4,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_9_5,plain,
e1 != e3,
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_6,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_9_7,plain,
op(e2,e2) != op(e2,e4),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_8,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_9_2]) ).
fof(normalize_9_9,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_9_10,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_11,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_12,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_13,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_14,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_15,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_9_2]) ).
fof(normalize_9_16,plain,
e0 != e1,
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_17,plain,
e1 != e2,
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_18,plain,
e3 != e4,
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_19,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_20,plain,
( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 ) ),
inference(canonicalize,[],[negate_9_0]) ).
fof(normalize_9_21,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_22,plain,
e2 != e3,
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_23,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_24,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_25,plain,
op(op(e1,e4),e4) = e1,
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_26,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_9_27,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(conjunct,[],[normalize_9_26]) ).
fof(normalize_9_28,plain,
op(e1,e4) != op(e2,e4),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_29,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_30,plain,
op(e1,e0) != op(e1,e4),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_31,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_32,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_33,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_34,plain,
e1 != e4,
inference(conjunct,[],[normalize_9_4]) ).
cnf(refute_9_0,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(canonicalize,[],[normalize_9_1]) ).
cnf(refute_9_1,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_9_3]) ).
cnf(refute_9_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_9_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_9_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_9_2,refute_9_3]) ).
cnf(refute_9_5,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_9_6,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_9_1,refute_9_5]) ).
cnf(refute_9_7,plain,
( op(e4,e2) != e1
| op(e4,e2) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e3) ),[0],$fot(e1)]]) ).
cnf(refute_9_8,plain,
( op(e4,e2) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_9_6,refute_9_7]) ).
cnf(refute_9_9,plain,
( e1 = e3
| op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_9_0,refute_9_8]) ).
cnf(refute_9_10,plain,
e1 != e3,
inference(canonicalize,[],[normalize_9_5]) ).
cnf(refute_9_11,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_9_9,refute_9_10]) ).
cnf(refute_9_12,plain,
op(e2,e2) != op(e2,e4),
inference(canonicalize,[],[normalize_9_7]) ).
cnf(refute_9_13,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_9_8]) ).
cnf(refute_9_14,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_9_15,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_9_13,refute_9_14]) ).
cnf(refute_9_16,plain,
( op(e2,e2) != e3
| op(e2,e4) != e3
| op(e2,e2) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e2),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_9_17,plain,
( op(e2,e2) != e3
| op(e2,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_9_15,refute_9_16]) ).
cnf(refute_9_18,plain,
op(e2,e2) != e3,
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e4)) )],[refute_9_17,refute_9_12]) ).
cnf(refute_9_19,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_9_11,refute_9_18]) ).
cnf(refute_9_20,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_9_10]) ).
cnf(refute_9_21,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_9_11]) ).
cnf(refute_9_22,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_9_12]) ).
cnf(refute_9_23,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_9_13]) ).
cnf(refute_9_24,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_9_14]) ).
cnf(refute_9_25,plain,
( op(unit,e1) != e1
| unit != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_9_26,plain,
( op(unit,e1) != e1
| op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_9_24,refute_9_25]) ).
cnf(refute_9_27,plain,
( op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_9_23,refute_9_26]) ).
cnf(refute_9_28,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_9_15]) ).
cnf(refute_9_29,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_9_30,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_9_31,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_9_29,refute_9_30]) ).
cnf(refute_9_32,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_9_6,refute_9_31]) ).
cnf(refute_9_33,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_9_34,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_9_35,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_9_33,refute_9_34]) ).
cnf(refute_9_36,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_9_6,refute_9_35]) ).
cnf(refute_9_37,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_9_38,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_9_4,refute_9_37]) ).
cnf(refute_9_39,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_9_38:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_9_40,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_9_36,refute_9_39]) ).
cnf(refute_9_41,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_9_32,refute_9_40]) ).
cnf(refute_9_42,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_9_43,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_9_41,refute_9_42]) ).
cnf(refute_9_44,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_9_28,refute_9_43]) ).
cnf(refute_9_45,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_9_46,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_9_44,refute_9_45]) ).
cnf(refute_9_47,plain,
( op(e1,e1) != e0
| op(e1,e1) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e0)]]) ).
cnf(refute_9_48,plain,
( op(e1,e1) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_9_46,refute_9_47]) ).
cnf(refute_9_49,plain,
( e0 = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_9_27,refute_9_48]) ).
cnf(refute_9_50,plain,
e0 != e1,
inference(canonicalize,[],[normalize_9_16]) ).
cnf(refute_9_51,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_9_49,refute_9_50]) ).
cnf(refute_9_52,plain,
( op(unit,e2) != e2
| unit != e4
| op(e4,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_9_53,plain,
( op(unit,e2) != e2
| op(e4,e2) = e2
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_9_51,refute_9_52]) ).
cnf(refute_9_54,plain,
( op(e4,e2) = e2
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_9_20,refute_9_53]) ).
cnf(refute_9_55,plain,
( op(e4,e2) != e1
| op(e4,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_9_56,plain,
( op(e4,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_9_6,refute_9_55]) ).
cnf(refute_9_57,plain,
( e1 = e2
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_9_54,refute_9_56]) ).
cnf(refute_9_58,plain,
e1 != e2,
inference(canonicalize,[],[normalize_9_17]) ).
cnf(refute_9_59,plain,
( unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_9_57,refute_9_58]) ).
cnf(refute_9_60,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_9_61,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_9_59,refute_9_60]) ).
cnf(refute_9_62,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_9_22,refute_9_61]) ).
cnf(refute_9_63,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_9_64,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_9_15,refute_9_63]) ).
cnf(refute_9_65,plain,
( e3 = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_9_62,refute_9_64]) ).
cnf(refute_9_66,plain,
e3 != e4,
inference(canonicalize,[],[normalize_9_18]) ).
cnf(refute_9_67,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_9_65,refute_9_66]) ).
cnf(refute_9_68,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_9_69,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_9_67,refute_9_68]) ).
cnf(refute_9_70,plain,
( op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_9_21,refute_9_69]) ).
cnf(refute_9_71,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_9_19]) ).
cnf(refute_9_72,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_9_21]) ).
cnf(refute_9_73,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_9_74,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_9_46,refute_9_73]) ).
cnf(refute_9_75,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_9_74,refute_9_72]) ).
cnf(refute_9_76,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_9_77,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_9_76,refute_9_75]) ).
cnf(refute_9_78,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_9_79,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_9_77,refute_9_78]) ).
cnf(refute_9_80,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_9_79,refute_9_71]) ).
cnf(refute_9_81,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_9_82,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_9_81,refute_9_80]) ).
cnf(refute_9_83,plain,
unit = e0,
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_9_70,refute_9_82]) ).
cnf(refute_9_84,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_9_85,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_9_86,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_9_84,refute_9_85]) ).
cnf(refute_9_87,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_9_83,refute_9_86]) ).
cnf(refute_9_88,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_9_89,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_9_87,refute_9_88]) ).
cnf(refute_9_90,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_9_20,refute_9_89]) ).
cnf(refute_9_91,plain,
( op(e0,e2) != e2
| op(e0,e2) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e3) ),[0],$fot(e2)]]) ).
cnf(refute_9_92,plain,
( op(e0,e2) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_9_90,refute_9_91]) ).
cnf(refute_9_93,plain,
( e2 = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_9_19,refute_9_92]) ).
cnf(refute_9_94,plain,
e2 != e3,
inference(canonicalize,[],[normalize_9_22]) ).
cnf(refute_9_95,plain,
( op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_9_93,refute_9_94]) ).
cnf(refute_9_96,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_9_23]) ).
cnf(refute_9_97,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_9_24]) ).
cnf(refute_9_98,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_9_99,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_9_100,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_9_98,refute_9_99]) ).
cnf(refute_9_101,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_9_83,refute_9_100]) ).
cnf(refute_9_102,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_9_103,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_9_101,refute_9_102]) ).
cnf(refute_9_104,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_9_97,refute_9_103]) ).
cnf(refute_9_105,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_9_106,plain,
( e3 != op(e3,e2)
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_9_104,refute_9_105]) ).
cnf(refute_9_107,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_9_106,refute_9_96]) ).
cnf(refute_9_108,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_9_109,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_9_108,refute_9_107]) ).
cnf(refute_9_110,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_9_95,refute_9_109]) ).
cnf(refute_9_111,plain,
op(op(e1,e4),e4) = e1,
inference(canonicalize,[],[normalize_9_25]) ).
cnf(refute_9_112,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(canonicalize,[],[normalize_9_27]) ).
cnf(refute_9_113,plain,
op(e1,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_9_28]) ).
cnf(refute_9_114,plain,
( op(e1,e4) != e3
| op(e2,e4) != e3
| op(e1,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_9_115,plain,
( op(e1,e4) != e3
| op(e1,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_9_15,refute_9_114]) ).
cnf(refute_9_116,plain,
op(e1,e4) != e3,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e2,e4)) )],[refute_9_115,refute_9_113]) ).
cnf(refute_9_117,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_9_112,refute_9_116]) ).
cnf(refute_9_118,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_9_29]) ).
cnf(refute_9_119,plain,
( e0 != op(e1,e4)
| op(e1,e1) != e0
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_9_120,plain,
( e0 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_9_46,refute_9_119]) ).
cnf(refute_9_121,plain,
e0 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_9_120,refute_9_118]) ).
cnf(refute_9_122,plain,
( op(e1,e4) != e0
| e0 = op(e1,e4) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e0))]]) ).
cnf(refute_9_123,plain,
op(e1,e4) != e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_9_122,refute_9_121]) ).
cnf(refute_9_124,plain,
( op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_9_117,refute_9_123]) ).
cnf(refute_9_125,plain,
op(e1,e0) != op(e1,e4),
inference(canonicalize,[],[normalize_9_30]) ).
cnf(refute_9_126,plain,
( e1 != op(e1,e4)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_9_127,plain,
( e1 != op(e1,e4)
| op(e1,e0) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_9_77,refute_9_126]) ).
cnf(refute_9_128,plain,
e1 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e4)) )],[refute_9_127,refute_9_125]) ).
cnf(refute_9_129,plain,
( op(e1,e4) != e1
| e1 = op(e1,e4) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e1))]]) ).
cnf(refute_9_130,plain,
op(e1,e4) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e4)) )],[refute_9_129,refute_9_128]) ).
cnf(refute_9_131,plain,
( op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_9_124,refute_9_130]) ).
cnf(refute_9_132,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_9_31]) ).
cnf(refute_9_133,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_9_134,plain,
( op(unit,e4) != op(unit,e4)
| unit != e0
| op(unit,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_9_135,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_9_133,refute_9_134]) ).
cnf(refute_9_136,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_9_83,refute_9_135]) ).
cnf(refute_9_137,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_9_138,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_9_136,refute_9_137]) ).
cnf(refute_9_139,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_9_22,refute_9_138]) ).
cnf(refute_9_140,plain,
( e4 != op(e1,e4)
| op(e0,e4) != e4
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_9_141,plain,
( e4 != op(e1,e4)
| op(e0,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_9_139,refute_9_140]) ).
cnf(refute_9_142,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_9_141,refute_9_132]) ).
cnf(refute_9_143,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_9_144,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_9_143,refute_9_142]) ).
cnf(refute_9_145,plain,
op(e1,e4) = e2,
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_9_131,refute_9_144]) ).
cnf(refute_9_146,plain,
op(op(e1,e4),e4) = op(op(e1,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e1,e4),e4))]]) ).
cnf(refute_9_147,plain,
( op(e1,e4) != e2
| op(op(e1,e4),e4) != op(op(e1,e4),e4)
| op(op(e1,e4),e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),e4),op(op(e1,e4),e4)) ),[1,0],$fot(e2)]]) ).
cnf(refute_9_148,plain,
( op(e1,e4) != e2
| op(op(e1,e4),e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e4),op(op(e1,e4),e4)) )],[refute_9_146,refute_9_147]) ).
cnf(refute_9_149,plain,
op(op(e1,e4),e4) = op(e2,e4),
inference(resolve,[$cnf( $equal(op(e1,e4),e2) )],[refute_9_145,refute_9_148]) ).
cnf(refute_9_150,plain,
( op(e2,e4) != e3
| op(op(e1,e4),e4) != op(e2,e4)
| op(op(e1,e4),e4) = e3 ),
inference(subst,[],[refute_9_38:[bind(X,$fot(op(op(e1,e4),e4))),bind(Y,$fot(op(e2,e4))),bind(Z,$fot(e3))]]) ).
cnf(refute_9_151,plain,
( op(e2,e4) != e3
| op(op(e1,e4),e4) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e4),op(e2,e4)) )],[refute_9_149,refute_9_150]) ).
cnf(refute_9_152,plain,
op(op(e1,e4),e4) = e3,
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_9_15,refute_9_151]) ).
cnf(refute_9_153,plain,
( op(op(e1,e4),e4) != e1
| op(op(e1,e4),e4) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e4),e4),e1) ),[0],$fot(e3)]]) ).
cnf(refute_9_154,plain,
( op(op(e1,e4),e4) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e4),e4),e3) )],[refute_9_152,refute_9_153]) ).
cnf(refute_9_155,plain,
e3 = e1,
inference(resolve,[$cnf( $equal(op(op(e1,e4),e4),e1) )],[refute_9_111,refute_9_154]) ).
cnf(refute_9_156,plain,
( e3 != e1
| op(e1,e2) != e3
| op(e1,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e3) ),[1],$fot(e1)]]) ).
cnf(refute_9_157,plain,
( op(e1,e2) != e3
| op(e1,e2) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_9_155,refute_9_156]) ).
cnf(refute_9_158,plain,
op(e1,e2) = e1,
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_9_110,refute_9_157]) ).
cnf(refute_9_159,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_9_32]) ).
cnf(refute_9_160,plain,
( op(e2,e4) != e1
| op(e2,e4) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e1) ),[0],$fot(e3)]]) ).
cnf(refute_9_161,plain,
( op(e2,e4) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_9_15,refute_9_160]) ).
cnf(refute_9_162,plain,
( e3 = e1
| op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_9_159,refute_9_161]) ).
cnf(refute_9_163,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_9_164,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_9_163,refute_9_10]) ).
cnf(refute_9_165,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_9_162,refute_9_164]) ).
cnf(refute_9_166,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_9_33]) ).
cnf(refute_9_167,plain,
( e1 != op(e4,e4)
| op(e4,e2) != e1
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e1) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_9_168,plain,
( e1 != op(e4,e4)
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_9_6,refute_9_167]) ).
cnf(refute_9_169,plain,
e1 != op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_9_168,refute_9_166]) ).
cnf(refute_9_170,plain,
( op(e4,e4) != e1
| e1 = op(e4,e4) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(e1))]]) ).
cnf(refute_9_171,plain,
op(e4,e4) != e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_9_170,refute_9_169]) ).
cnf(refute_9_172,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_9_165,refute_9_171]) ).
cnf(refute_9_173,plain,
( op(e0,e4) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_9_172,refute_9_130]) ).
cnf(refute_9_174,plain,
( op(e0,e4) != e1
| op(e0,e4) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e1) ),[0],$fot(e4)]]) ).
cnf(refute_9_175,plain,
( op(e0,e4) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_9_139,refute_9_174]) ).
cnf(refute_9_176,plain,
( e4 = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_9_173,refute_9_175]) ).
cnf(refute_9_177,plain,
e1 != e4,
inference(canonicalize,[],[normalize_9_34]) ).
cnf(refute_9_178,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_9_179,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_9_178,refute_9_177]) ).
cnf(refute_9_180,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_9_176,refute_9_179]) ).
cnf(refute_9_181,plain,
op(e3,e4) = op(e3,e4),
introduced(tautology,[refl,[$fot(op(e3,e4))]]) ).
cnf(refute_9_182,plain,
( e3 != e1
| op(e3,e4) != op(e3,e4)
| op(e3,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),op(e3,e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_9_183,plain,
( e3 != e1
| op(e3,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e3,e4)) )],[refute_9_181,refute_9_182]) ).
cnf(refute_9_184,plain,
op(e3,e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_9_155,refute_9_183]) ).
cnf(refute_9_185,plain,
( op(e1,e4) != e2
| op(e3,e4) != op(e1,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_9_38:[bind(X,$fot(op(e3,e4))),bind(Y,$fot(op(e1,e4))),bind(Z,$fot(e2))]]) ).
cnf(refute_9_186,plain,
( op(e1,e4) != e2
| op(e3,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e1,e4)) )],[refute_9_184,refute_9_185]) ).
cnf(refute_9_187,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(op(e1,e4),e2) )],[refute_9_145,refute_9_186]) ).
cnf(refute_9_188,plain,
( op(e3,e4) != e1
| op(e3,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_9_189,plain,
( op(e3,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_9_187,refute_9_188]) ).
cnf(refute_9_190,plain,
e2 = e1,
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_9_180,refute_9_189]) ).
cnf(refute_9_191,plain,
op(e1,e2) = op(e1,e2),
introduced(tautology,[refl,[$fot(op(e1,e2))]]) ).
cnf(refute_9_192,plain,
( e2 != e1
| op(e1,e2) != op(e1,e2)
| op(e1,e2) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),op(e1,e2)) ),[1,1],$fot(e1)]]) ).
cnf(refute_9_193,plain,
( e2 != e1
| op(e1,e2) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e2)) )],[refute_9_191,refute_9_192]) ).
cnf(refute_9_194,plain,
op(e1,e2) = op(e1,e1),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_9_190,refute_9_193]) ).
cnf(refute_9_195,plain,
( op(e1,e1) != e0
| op(e1,e2) != op(e1,e1)
| op(e1,e2) = e0 ),
inference(subst,[],[refute_9_38:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(op(e1,e1))),bind(Z,$fot(e0))]]) ).
cnf(refute_9_196,plain,
( op(e1,e1) != e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e1)) )],[refute_9_194,refute_9_195]) ).
cnf(refute_9_197,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_9_46,refute_9_196]) ).
cnf(refute_9_198,plain,
( op(e1,e2) != e0
| op(e1,e2) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e1) ),[0],$fot(e0)]]) ).
cnf(refute_9_199,plain,
( op(e1,e2) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_9_197,refute_9_198]) ).
cnf(refute_9_200,plain,
e0 = e1,
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_9_158,refute_9_199]) ).
cnf(refute_9_201,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_9_200,refute_9_50]) ).
fof(negate_10_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2 )
=> op(op(e2,e0),e2) = e0 ),
inference(negate,[],[subgoal_10]) ).
fof(normalize_10_0,plain,
( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 ) ),
inference(canonicalize,[],[negate_10_0]) ).
fof(normalize_10_1,plain,
op(e0,e2) != op(e2,e0),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_2,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_10_3,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_4,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_5,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_6,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_7,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_8,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_10_9,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_10_8]) ).
fof(normalize_10_10,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_10_8]) ).
fof(normalize_10_11,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_10_12,plain,
e0 != e1,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_13,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_10_8]) ).
fof(normalize_10_14,plain,
e3 != e4,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_15,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_10_16,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_10_15]) ).
fof(normalize_10_17,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_18,plain,
e1 != e2,
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_19,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_10_2]) ).
cnf(refute_10_0,plain,
op(e0,e2) != op(e2,e0),
inference(canonicalize,[],[normalize_10_1]) ).
cnf(refute_10_1,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_10_3]) ).
cnf(refute_10_2,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_10_4]) ).
cnf(refute_10_3,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_10_5]) ).
cnf(refute_10_4,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_10_6]) ).
cnf(refute_10_5,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_10_7]) ).
cnf(refute_10_6,plain,
( op(unit,e1) != e1
| unit != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_10_7,plain,
( op(unit,e1) != e1
| op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_10_5,refute_10_6]) ).
cnf(refute_10_8,plain,
( op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_10_4,refute_10_7]) ).
cnf(refute_10_9,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_10_9]) ).
cnf(refute_10_10,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_10_10]) ).
cnf(refute_10_11,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_10_12,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_10_13,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_10_11,refute_10_12]) ).
cnf(refute_10_14,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_10_13:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_10_15,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_10_10,refute_10_14]) ).
cnf(refute_10_16,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_10_17,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_10_18,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_10_16,refute_10_17]) ).
cnf(refute_10_19,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_10_15,refute_10_18]) ).
cnf(refute_10_20,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_10_21,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_10_22,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_10_20,refute_10_21]) ).
cnf(refute_10_23,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_10_15,refute_10_22]) ).
cnf(refute_10_24,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_10_25,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_10_13,refute_10_24]) ).
cnf(refute_10_26,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_10_25:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_10_27,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_10_23,refute_10_26]) ).
cnf(refute_10_28,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_10_19,refute_10_27]) ).
cnf(refute_10_29,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_10_30,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_10_28,refute_10_29]) ).
cnf(refute_10_31,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_10_9,refute_10_30]) ).
cnf(refute_10_32,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_10_13:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_10_33,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_10_31,refute_10_32]) ).
cnf(refute_10_34,plain,
( op(e1,e1) != e0
| op(e1,e1) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e0)]]) ).
cnf(refute_10_35,plain,
( op(e1,e1) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_10_33,refute_10_34]) ).
cnf(refute_10_36,plain,
( e0 = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_10_8,refute_10_35]) ).
cnf(refute_10_37,plain,
e0 != e1,
inference(canonicalize,[],[normalize_10_12]) ).
cnf(refute_10_38,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_10_36,refute_10_37]) ).
cnf(refute_10_39,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_10_40,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_10_38,refute_10_39]) ).
cnf(refute_10_41,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_10_3,refute_10_40]) ).
cnf(refute_10_42,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_10_13]) ).
cnf(refute_10_43,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_10_13:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_10_44,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_10_42,refute_10_43]) ).
cnf(refute_10_45,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_10_46,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_10_44,refute_10_45]) ).
cnf(refute_10_47,plain,
( e3 = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_10_41,refute_10_46]) ).
cnf(refute_10_48,plain,
e3 != e4,
inference(canonicalize,[],[normalize_10_14]) ).
cnf(refute_10_49,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_10_47,refute_10_48]) ).
cnf(refute_10_50,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_10_51,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_10_49,refute_10_50]) ).
cnf(refute_10_52,plain,
( op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_10_2,refute_10_51]) ).
cnf(refute_10_53,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_10_16]) ).
cnf(refute_10_54,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_10_17]) ).
cnf(refute_10_55,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_10_56,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_10_33,refute_10_55]) ).
cnf(refute_10_57,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_10_56,refute_10_54]) ).
cnf(refute_10_58,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_10_59,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_10_58,refute_10_57]) ).
cnf(refute_10_60,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_10_61,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_10_59,refute_10_60]) ).
cnf(refute_10_62,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_10_61,refute_10_53]) ).
cnf(refute_10_63,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_10_13:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_10_64,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_10_63,refute_10_62]) ).
cnf(refute_10_65,plain,
( unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_10_52,refute_10_64]) ).
cnf(refute_10_66,plain,
( op(unit,e2) != e2
| unit != e4
| op(e4,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_10_67,plain,
( op(unit,e2) != e2
| op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_10_65,refute_10_66]) ).
cnf(refute_10_68,plain,
( op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_10_1,refute_10_67]) ).
cnf(refute_10_69,plain,
( op(e4,e2) != e1
| op(e4,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_10_70,plain,
( op(e4,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_10_15,refute_10_69]) ).
cnf(refute_10_71,plain,
( e1 = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_10_68,refute_10_70]) ).
cnf(refute_10_72,plain,
e1 != e2,
inference(canonicalize,[],[normalize_10_18]) ).
cnf(refute_10_73,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_10_71,refute_10_72]) ).
cnf(refute_10_74,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_10_75,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_10_76,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_10_74,refute_10_75]) ).
cnf(refute_10_77,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_10_73,refute_10_76]) ).
cnf(refute_10_78,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_10_79,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_10_77,refute_10_78]) ).
cnf(refute_10_80,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_10_1,refute_10_79]) ).
cnf(refute_10_81,plain,
( e2 != op(e2,e0)
| op(e0,e2) != e2
| op(e0,e2) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_10_82,plain,
( e2 != op(e2,e0)
| op(e0,e2) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_10_80,refute_10_81]) ).
cnf(refute_10_83,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_10_19]) ).
cnf(refute_10_84,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_10_85,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_10_86,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_10_84,refute_10_85]) ).
cnf(refute_10_87,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_10_73,refute_10_86]) ).
cnf(refute_10_88,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_10_89,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_10_87,refute_10_88]) ).
cnf(refute_10_90,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_10_83,refute_10_89]) ).
cnf(refute_10_91,plain,
( e2 != e2
| op(e2,e0) != e2
| e2 = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e2,e0)) ),[1],$fot(e2)]]) ).
cnf(refute_10_92,plain,
( e2 != e2
| e2 = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_10_90,refute_10_91]) ).
cnf(refute_10_93,plain,
( e2 != e2
| op(e0,e2) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(e2,op(e2,e0)) )],[refute_10_92,refute_10_82]) ).
cnf(refute_10_94,plain,
e2 != e2,
inference(resolve,[$cnf( $equal(op(e0,e2),op(e2,e0)) )],[refute_10_93,refute_10_0]) ).
cnf(refute_10_95,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_10_96,plain,
$false,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_10_95,refute_10_94]) ).
fof(negate_11_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2 )
=> op(op(e2,e1),e2) = e1 ),
inference(negate,[],[subgoal_11]) ).
fof(normalize_11_0,plain,
( ( 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(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = 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(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = 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(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_11_1,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_2,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_11_3,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_11_2]) ).
fof(normalize_11_4,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_11_5,plain,
e1 != e3,
inference(conjunct,[],[normalize_11_4]) ).
fof(normalize_11_6,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_11_7,plain,
op(e2,e2) != op(e2,e4),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_8,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_11_2]) ).
fof(normalize_11_9,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_11_10,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_11,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_12,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_13,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_14,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_15,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_11_2]) ).
fof(normalize_11_16,plain,
e0 != e1,
inference(conjunct,[],[normalize_11_4]) ).
fof(normalize_11_17,plain,
e3 != e4,
inference(conjunct,[],[normalize_11_4]) ).
fof(normalize_11_18,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_19,plain,
( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 ) ),
inference(canonicalize,[],[negate_11_0]) ).
fof(normalize_11_20,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_11_19]) ).
fof(normalize_11_21,plain,
e1 != e2,
inference(conjunct,[],[normalize_11_4]) ).
fof(normalize_11_22,plain,
e2 != e3,
inference(conjunct,[],[normalize_11_4]) ).
fof(normalize_11_23,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_24,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_25,plain,
op(op(e2,e1),e1) = e2,
inference(conjunct,[],[normalize_11_19]) ).
fof(normalize_11_26,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_27,plain,
op(e2,e4) != op(e4,e4),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_28,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_29,plain,
op(e0,e3) != op(e4,e3),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_30,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_31,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_11_32,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_11_31]) ).
fof(normalize_11_33,plain,
op(e2,e1) != op(e2,e4),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_34,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_35,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_36,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_37,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_38,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_39,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_40,plain,
e1 != e4,
inference(conjunct,[],[normalize_11_4]) ).
fof(normalize_11_41,plain,
op(e1,e0) != op(e1,e4),
inference(conjunct,[],[normalize_11_6]) ).
cnf(refute_11_0,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(canonicalize,[],[normalize_11_1]) ).
cnf(refute_11_1,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_11_3]) ).
cnf(refute_11_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_11_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_11_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_11_2,refute_11_3]) ).
cnf(refute_11_5,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_11_6,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_11_1,refute_11_5]) ).
cnf(refute_11_7,plain,
( op(e4,e2) != e1
| op(e4,e2) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e3) ),[0],$fot(e1)]]) ).
cnf(refute_11_8,plain,
( op(e4,e2) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_11_6,refute_11_7]) ).
cnf(refute_11_9,plain,
( e1 = e3
| op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_11_0,refute_11_8]) ).
cnf(refute_11_10,plain,
e1 != e3,
inference(canonicalize,[],[normalize_11_5]) ).
cnf(refute_11_11,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_11_9,refute_11_10]) ).
cnf(refute_11_12,plain,
op(e2,e2) != op(e2,e4),
inference(canonicalize,[],[normalize_11_7]) ).
cnf(refute_11_13,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_11_8]) ).
cnf(refute_11_14,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_11_15,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_11_13,refute_11_14]) ).
cnf(refute_11_16,plain,
( op(e2,e2) != e3
| op(e2,e4) != e3
| op(e2,e2) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e2),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_11_17,plain,
( op(e2,e2) != e3
| op(e2,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_11_15,refute_11_16]) ).
cnf(refute_11_18,plain,
op(e2,e2) != e3,
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e4)) )],[refute_11_17,refute_11_12]) ).
cnf(refute_11_19,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_11_11,refute_11_18]) ).
cnf(refute_11_20,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_11_10]) ).
cnf(refute_11_21,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_11_11]) ).
cnf(refute_11_22,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_11_12]) ).
cnf(refute_11_23,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_11_13]) ).
cnf(refute_11_24,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_11_14]) ).
cnf(refute_11_25,plain,
( op(unit,e1) != e1
| unit != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_11_26,plain,
( op(unit,e1) != e1
| op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_11_24,refute_11_25]) ).
cnf(refute_11_27,plain,
( op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_11_23,refute_11_26]) ).
cnf(refute_11_28,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_11_15]) ).
cnf(refute_11_29,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_11_30,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_11_31,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_11_29,refute_11_30]) ).
cnf(refute_11_32,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_11_6,refute_11_31]) ).
cnf(refute_11_33,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_11_34,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_11_35,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_11_33,refute_11_34]) ).
cnf(refute_11_36,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_11_6,refute_11_35]) ).
cnf(refute_11_37,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_11_38,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_11_4,refute_11_37]) ).
cnf(refute_11_39,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_11_38:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_11_40,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_11_36,refute_11_39]) ).
cnf(refute_11_41,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_11_32,refute_11_40]) ).
cnf(refute_11_42,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_11_43,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_11_41,refute_11_42]) ).
cnf(refute_11_44,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_11_28,refute_11_43]) ).
cnf(refute_11_45,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_11_46,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_11_44,refute_11_45]) ).
cnf(refute_11_47,plain,
( op(e1,e1) != e0
| op(e1,e1) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e0)]]) ).
cnf(refute_11_48,plain,
( op(e1,e1) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_11_46,refute_11_47]) ).
cnf(refute_11_49,plain,
( e0 = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_11_27,refute_11_48]) ).
cnf(refute_11_50,plain,
e0 != e1,
inference(canonicalize,[],[normalize_11_16]) ).
cnf(refute_11_51,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_11_49,refute_11_50]) ).
cnf(refute_11_52,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_11_53,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_11_51,refute_11_52]) ).
cnf(refute_11_54,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_11_22,refute_11_53]) ).
cnf(refute_11_55,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_11_56,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_11_15,refute_11_55]) ).
cnf(refute_11_57,plain,
( e3 = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_11_54,refute_11_56]) ).
cnf(refute_11_58,plain,
e3 != e4,
inference(canonicalize,[],[normalize_11_17]) ).
cnf(refute_11_59,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_11_57,refute_11_58]) ).
cnf(refute_11_60,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_11_61,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_11_59,refute_11_60]) ).
cnf(refute_11_62,plain,
( op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_11_21,refute_11_61]) ).
cnf(refute_11_63,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_11_18]) ).
cnf(refute_11_64,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_11_20]) ).
cnf(refute_11_65,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_11_66,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_11_46,refute_11_65]) ).
cnf(refute_11_67,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_11_66,refute_11_64]) ).
cnf(refute_11_68,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_11_69,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_11_68,refute_11_67]) ).
cnf(refute_11_70,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_11_71,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_11_69,refute_11_70]) ).
cnf(refute_11_72,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_11_71,refute_11_63]) ).
cnf(refute_11_73,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_11_74,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_11_73,refute_11_72]) ).
cnf(refute_11_75,plain,
( unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_11_62,refute_11_74]) ).
cnf(refute_11_76,plain,
( op(unit,e2) != e2
| unit != e4
| op(e4,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_11_77,plain,
( op(unit,e2) != e2
| op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_11_75,refute_11_76]) ).
cnf(refute_11_78,plain,
( op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_11_20,refute_11_77]) ).
cnf(refute_11_79,plain,
( op(e4,e2) != e1
| op(e4,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_11_80,plain,
( op(e4,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_11_6,refute_11_79]) ).
cnf(refute_11_81,plain,
( e1 = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_11_78,refute_11_80]) ).
cnf(refute_11_82,plain,
e1 != e2,
inference(canonicalize,[],[normalize_11_21]) ).
cnf(refute_11_83,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_11_81,refute_11_82]) ).
cnf(refute_11_84,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_11_85,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_11_86,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_11_84,refute_11_85]) ).
cnf(refute_11_87,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_11_83,refute_11_86]) ).
cnf(refute_11_88,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_11_89,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_11_87,refute_11_88]) ).
cnf(refute_11_90,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_11_20,refute_11_89]) ).
cnf(refute_11_91,plain,
( op(e0,e2) != e2
| op(e0,e2) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e3) ),[0],$fot(e2)]]) ).
cnf(refute_11_92,plain,
( op(e0,e2) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_11_90,refute_11_91]) ).
cnf(refute_11_93,plain,
( e2 = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_11_19,refute_11_92]) ).
cnf(refute_11_94,plain,
e2 != e3,
inference(canonicalize,[],[normalize_11_22]) ).
cnf(refute_11_95,plain,
( op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_11_93,refute_11_94]) ).
cnf(refute_11_96,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_11_23]) ).
cnf(refute_11_97,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_11_24]) ).
cnf(refute_11_98,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_11_99,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_11_100,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_11_98,refute_11_99]) ).
cnf(refute_11_101,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_11_83,refute_11_100]) ).
cnf(refute_11_102,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_11_103,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_11_101,refute_11_102]) ).
cnf(refute_11_104,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_11_97,refute_11_103]) ).
cnf(refute_11_105,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_11_106,plain,
( e3 != op(e3,e2)
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_11_104,refute_11_105]) ).
cnf(refute_11_107,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_11_106,refute_11_96]) ).
cnf(refute_11_108,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_11_109,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_11_108,refute_11_107]) ).
cnf(refute_11_110,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_11_95,refute_11_109]) ).
cnf(refute_11_111,plain,
op(op(e2,e1),e1) = e2,
inference(canonicalize,[],[normalize_11_25]) ).
cnf(refute_11_112,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_11_26]) ).
cnf(refute_11_113,plain,
( e1 = e3
| op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_11_112,refute_11_8]) ).
cnf(refute_11_114,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_11_113,refute_11_10]) ).
cnf(refute_11_115,plain,
op(e2,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_11_27]) ).
cnf(refute_11_116,plain,
( e3 != op(e4,e4)
| op(e2,e4) != e3
| op(e2,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e3) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_11_117,plain,
( e3 != op(e4,e4)
| op(e2,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_11_15,refute_11_116]) ).
cnf(refute_11_118,plain,
e3 != op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e4,e4)) )],[refute_11_117,refute_11_115]) ).
cnf(refute_11_119,plain,
( op(e4,e4) != e3
| e3 = op(e4,e4) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(e3))]]) ).
cnf(refute_11_120,plain,
op(e4,e4) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e4)) )],[refute_11_119,refute_11_118]) ).
cnf(refute_11_121,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_11_114,refute_11_120]) ).
cnf(refute_11_122,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_11_28]) ).
cnf(refute_11_123,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_11_124,plain,
( op(e4,unit) != op(e4,unit)
| unit != e0
| op(e4,unit) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_11_125,plain,
( unit != e0
| op(e4,unit) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_11_123,refute_11_124]) ).
cnf(refute_11_126,plain,
op(e4,unit) = op(e4,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_11_83,refute_11_125]) ).
cnf(refute_11_127,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e0)
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_11_128,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e0)) )],[refute_11_126,refute_11_127]) ).
cnf(refute_11_129,plain,
op(e4,e0) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_11_122,refute_11_128]) ).
cnf(refute_11_130,plain,
( op(e4,e0) != e3
| op(e4,e0) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e3) ),[0],$fot(e4)]]) ).
cnf(refute_11_131,plain,
( op(e4,e0) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_11_129,refute_11_130]) ).
cnf(refute_11_132,plain,
( e4 = e3
| op(e4,e1) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_11_121,refute_11_131]) ).
cnf(refute_11_133,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_11_134,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_11_133,refute_11_58]) ).
cnf(refute_11_135,plain,
( op(e4,e1) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_11_132,refute_11_134]) ).
cnf(refute_11_136,plain,
op(e0,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_11_29]) ).
cnf(refute_11_137,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_11_30]) ).
cnf(refute_11_138,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_11_139,plain,
( op(unit,e3) != op(unit,e3)
| unit != e0
| op(unit,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_11_140,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_11_138,refute_11_139]) ).
cnf(refute_11_141,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_11_83,refute_11_140]) ).
cnf(refute_11_142,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_11_143,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_11_141,refute_11_142]) ).
cnf(refute_11_144,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_11_137,refute_11_143]) ).
cnf(refute_11_145,plain,
( e3 != op(e4,e3)
| op(e0,e3) != e3
| op(e0,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_11_146,plain,
( e3 != op(e4,e3)
| op(e0,e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_11_144,refute_11_145]) ).
cnf(refute_11_147,plain,
e3 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e4,e3)) )],[refute_11_146,refute_11_136]) ).
cnf(refute_11_148,plain,
( op(e4,e3) != e3
| e3 = op(e4,e3) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_11_149,plain,
op(e4,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e3)) )],[refute_11_148,refute_11_147]) ).
cnf(refute_11_150,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_11_135,refute_11_149]) ).
cnf(refute_11_151,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_11_32]) ).
cnf(refute_11_152,plain,
op(e2,e1) != op(e2,e4),
inference(canonicalize,[],[normalize_11_33]) ).
cnf(refute_11_153,plain,
( op(e2,e1) != e3
| op(e2,e4) != e3
| op(e2,e1) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_11_154,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_11_15,refute_11_153]) ).
cnf(refute_11_155,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e4)) )],[refute_11_154,refute_11_152]) ).
cnf(refute_11_156,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_11_151,refute_11_155]) ).
cnf(refute_11_157,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_11_34]) ).
cnf(refute_11_158,plain,
( e0 != op(e2,e1)
| op(e1,e1) != e0
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_11_159,plain,
( e0 != op(e2,e1)
| op(e1,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_11_46,refute_11_158]) ).
cnf(refute_11_160,plain,
e0 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_11_159,refute_11_157]) ).
cnf(refute_11_161,plain,
( op(e2,e1) != e0
| e0 = op(e2,e1) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e0))]]) ).
cnf(refute_11_162,plain,
op(e2,e1) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e1)) )],[refute_11_161,refute_11_160]) ).
cnf(refute_11_163,plain,
( op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_11_156,refute_11_162]) ).
cnf(refute_11_164,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_11_35]) ).
cnf(refute_11_165,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_11_166,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_11_167,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_11_165,refute_11_166]) ).
cnf(refute_11_168,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_11_83,refute_11_167]) ).
cnf(refute_11_169,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_11_170,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_11_168,refute_11_169]) ).
cnf(refute_11_171,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_11_23,refute_11_170]) ).
cnf(refute_11_172,plain,
( e1 != op(e2,e1)
| op(e0,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_11_173,plain,
( e1 != op(e2,e1)
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_11_171,refute_11_172]) ).
cnf(refute_11_174,plain,
e1 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_11_173,refute_11_164]) ).
cnf(refute_11_175,plain,
( op(e2,e1) != e1
| e1 = op(e2,e1) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e1))]]) ).
cnf(refute_11_176,plain,
op(e2,e1) != e1,
inference(resolve,[$cnf( $equal(e1,op(e2,e1)) )],[refute_11_175,refute_11_174]) ).
cnf(refute_11_177,plain,
( op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_11_163,refute_11_176]) ).
cnf(refute_11_178,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_11_36]) ).
cnf(refute_11_179,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_11_37]) ).
cnf(refute_11_180,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_11_181,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_11_182,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_11_180,refute_11_181]) ).
cnf(refute_11_183,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_11_83,refute_11_182]) ).
cnf(refute_11_184,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_11_185,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_11_183,refute_11_184]) ).
cnf(refute_11_186,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_11_179,refute_11_185]) ).
cnf(refute_11_187,plain,
( e2 != op(e2,e1)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_11_188,plain,
( e2 != op(e2,e1)
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_11_186,refute_11_187]) ).
cnf(refute_11_189,plain,
e2 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_11_188,refute_11_178]) ).
cnf(refute_11_190,plain,
( op(e2,e1) != e2
| e2 = op(e2,e1) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_11_191,plain,
op(e2,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_11_190,refute_11_189]) ).
cnf(refute_11_192,plain,
op(e2,e1) = e4,
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_11_177,refute_11_191]) ).
cnf(refute_11_193,plain,
op(op(e2,e1),e1) = op(op(e2,e1),e1),
introduced(tautology,[refl,[$fot(op(op(e2,e1),e1))]]) ).
cnf(refute_11_194,plain,
( op(e2,e1) != e4
| op(op(e2,e1),e1) != op(op(e2,e1),e1)
| op(op(e2,e1),e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),e1),op(op(e2,e1),e1)) ),[1,0],$fot(e4)]]) ).
cnf(refute_11_195,plain,
( op(e2,e1) != e4
| op(op(e2,e1),e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),op(op(e2,e1),e1)) )],[refute_11_193,refute_11_194]) ).
cnf(refute_11_196,plain,
op(op(e2,e1),e1) = op(e4,e1),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_11_192,refute_11_195]) ).
cnf(refute_11_197,plain,
( op(e4,e1) != e3
| op(op(e2,e1),e1) != op(e4,e1)
| op(op(e2,e1),e1) = e3 ),
inference(subst,[],[refute_11_38:[bind(X,$fot(op(op(e2,e1),e1))),bind(Y,$fot(op(e4,e1))),bind(Z,$fot(e3))]]) ).
cnf(refute_11_198,plain,
( op(e4,e1) != e3
| op(op(e2,e1),e1) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),op(e4,e1)) )],[refute_11_196,refute_11_197]) ).
cnf(refute_11_199,plain,
op(op(e2,e1),e1) = e3,
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_11_150,refute_11_198]) ).
cnf(refute_11_200,plain,
( op(op(e2,e1),e1) != e2
| op(op(e2,e1),e1) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e1),e1),e2) ),[0],$fot(e3)]]) ).
cnf(refute_11_201,plain,
( op(op(e2,e1),e1) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),e3) )],[refute_11_199,refute_11_200]) ).
cnf(refute_11_202,plain,
e3 = e2,
inference(resolve,[$cnf( $equal(op(op(e2,e1),e1),e2) )],[refute_11_111,refute_11_201]) ).
cnf(refute_11_203,plain,
( e3 != e2
| op(e1,e2) != e3
| op(e1,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e3) ),[1],$fot(e2)]]) ).
cnf(refute_11_204,plain,
( op(e1,e2) != e3
| op(e1,e2) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_11_202,refute_11_203]) ).
cnf(refute_11_205,plain,
op(e1,e2) = e2,
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_11_110,refute_11_204]) ).
cnf(refute_11_206,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_11_38]) ).
cnf(refute_11_207,plain,
( op(e2,e4) != e1
| op(e2,e4) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e1) ),[0],$fot(e3)]]) ).
cnf(refute_11_208,plain,
( op(e2,e4) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_11_15,refute_11_207]) ).
cnf(refute_11_209,plain,
( e3 = e1
| op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_11_206,refute_11_208]) ).
cnf(refute_11_210,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_11_211,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_11_210,refute_11_10]) ).
cnf(refute_11_212,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_11_209,refute_11_211]) ).
cnf(refute_11_213,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_11_39]) ).
cnf(refute_11_214,plain,
( e1 != op(e4,e4)
| op(e4,e2) != e1
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e1) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_11_215,plain,
( e1 != op(e4,e4)
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_11_6,refute_11_214]) ).
cnf(refute_11_216,plain,
e1 != op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_11_215,refute_11_213]) ).
cnf(refute_11_217,plain,
( op(e4,e4) != e1
| e1 = op(e4,e4) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(e1))]]) ).
cnf(refute_11_218,plain,
op(e4,e4) != e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_11_217,refute_11_216]) ).
cnf(refute_11_219,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_11_212,refute_11_218]) ).
cnf(refute_11_220,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_11_221,plain,
( op(unit,e4) != op(unit,e4)
| unit != e0
| op(unit,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_11_222,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_11_220,refute_11_221]) ).
cnf(refute_11_223,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_11_83,refute_11_222]) ).
cnf(refute_11_224,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_11_225,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_11_223,refute_11_224]) ).
cnf(refute_11_226,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_11_22,refute_11_225]) ).
cnf(refute_11_227,plain,
( op(e0,e4) != e1
| op(e0,e4) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e1) ),[0],$fot(e4)]]) ).
cnf(refute_11_228,plain,
( op(e0,e4) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_11_226,refute_11_227]) ).
cnf(refute_11_229,plain,
( e4 = e1
| op(e1,e4) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_11_219,refute_11_228]) ).
cnf(refute_11_230,plain,
e1 != e4,
inference(canonicalize,[],[normalize_11_40]) ).
cnf(refute_11_231,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_11_232,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_11_231,refute_11_230]) ).
cnf(refute_11_233,plain,
( op(e1,e4) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_11_229,refute_11_232]) ).
cnf(refute_11_234,plain,
op(e1,e0) != op(e1,e4),
inference(canonicalize,[],[normalize_11_41]) ).
cnf(refute_11_235,plain,
( e1 != op(e1,e4)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_11_236,plain,
( e1 != op(e1,e4)
| op(e1,e0) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_11_69,refute_11_235]) ).
cnf(refute_11_237,plain,
e1 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e4)) )],[refute_11_236,refute_11_234]) ).
cnf(refute_11_238,plain,
( op(e1,e4) != e1
| e1 = op(e1,e4) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e1))]]) ).
cnf(refute_11_239,plain,
op(e1,e4) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e4)) )],[refute_11_238,refute_11_237]) ).
cnf(refute_11_240,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_11_233,refute_11_239]) ).
cnf(refute_11_241,plain,
( e3 != e2
| op(e2,e4) != e3
| op(e2,e4) = e2 ),
inference(subst,[],[refute_11_38:[bind(X,$fot(op(e2,e4))),bind(Y,$fot(e3)),bind(Z,$fot(e2))]]) ).
cnf(refute_11_242,plain,
( e3 != e2
| op(e2,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_11_15,refute_11_241]) ).
cnf(refute_11_243,plain,
op(e2,e4) = e2,
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_11_202,refute_11_242]) ).
cnf(refute_11_244,plain,
op(e3,e4) = op(e3,e4),
introduced(tautology,[refl,[$fot(op(e3,e4))]]) ).
cnf(refute_11_245,plain,
( e3 != e2
| op(e3,e4) != op(e3,e4)
| op(e3,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),op(e3,e4)) ),[1,0],$fot(e2)]]) ).
cnf(refute_11_246,plain,
( e3 != e2
| op(e3,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e3,e4)) )],[refute_11_244,refute_11_245]) ).
cnf(refute_11_247,plain,
op(e3,e4) = op(e2,e4),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_11_202,refute_11_246]) ).
cnf(refute_11_248,plain,
( op(e2,e4) != e2
| op(e3,e4) != op(e2,e4)
| op(e3,e4) = e2 ),
inference(subst,[],[refute_11_38:[bind(X,$fot(op(e3,e4))),bind(Y,$fot(op(e2,e4))),bind(Z,$fot(e2))]]) ).
cnf(refute_11_249,plain,
( op(e2,e4) != e2
| op(e3,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e2,e4)) )],[refute_11_247,refute_11_248]) ).
cnf(refute_11_250,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(op(e2,e4),e2) )],[refute_11_243,refute_11_249]) ).
cnf(refute_11_251,plain,
( op(e3,e4) != e1
| op(e3,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_11_252,plain,
( op(e3,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_11_250,refute_11_251]) ).
cnf(refute_11_253,plain,
e2 = e1,
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_11_240,refute_11_252]) ).
cnf(refute_11_254,plain,
op(e1,e2) = op(e1,e2),
introduced(tautology,[refl,[$fot(op(e1,e2))]]) ).
cnf(refute_11_255,plain,
( e2 != e1
| op(e1,e2) != op(e1,e2)
| op(e1,e2) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),op(e1,e2)) ),[1,1],$fot(e1)]]) ).
cnf(refute_11_256,plain,
( e2 != e1
| op(e1,e2) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e2)) )],[refute_11_254,refute_11_255]) ).
cnf(refute_11_257,plain,
op(e1,e2) = op(e1,e1),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_11_253,refute_11_256]) ).
cnf(refute_11_258,plain,
( op(e1,e1) != e0
| op(e1,e2) != op(e1,e1)
| op(e1,e2) = e0 ),
inference(subst,[],[refute_11_38:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(op(e1,e1))),bind(Z,$fot(e0))]]) ).
cnf(refute_11_259,plain,
( op(e1,e1) != e0
| op(e1,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e1)) )],[refute_11_257,refute_11_258]) ).
cnf(refute_11_260,plain,
op(e1,e2) = e0,
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_11_46,refute_11_259]) ).
cnf(refute_11_261,plain,
( op(e1,e2) != e0
| op(e1,e2) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e2) ),[0],$fot(e0)]]) ).
cnf(refute_11_262,plain,
( op(e1,e2) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_11_260,refute_11_261]) ).
cnf(refute_11_263,plain,
( e0 != e2
| e2 != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,e1) ),[0],$fot(e2)]]) ).
cnf(refute_11_264,plain,
( e0 != e2
| e0 = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_11_253,refute_11_263]) ).
cnf(refute_11_265,plain,
( op(e1,e2) != e2
| e0 = e1 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_11_262,refute_11_264]) ).
cnf(refute_11_266,plain,
e0 = e1,
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_11_205,refute_11_265]) ).
cnf(refute_11_267,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_11_266,refute_11_50]) ).
fof(negate_12_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2 )
=> op(op(e2,e2),e2) = e2 ),
inference(negate,[],[subgoal_12]) ).
fof(normalize_12_0,plain,
$false,
inference(canonicalize,[],[negate_12_0]) ).
cnf(refute_12_0,plain,
$false,
inference(canonicalize,[],[normalize_12_0]) ).
fof(negate_13_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2 )
=> op(op(e2,e3),e2) = e3 ),
inference(negate,[],[subgoal_13]) ).
fof(normalize_13_0,plain,
( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 ) ),
inference(canonicalize,[],[negate_13_0]) ).
fof(normalize_13_1,plain,
op(op(e2,e3),e2) != e3,
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_2,plain,
( ( 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(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = 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(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = 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(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_13_3,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_4,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_13_5,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_6,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_13_7,plain,
e1 != e3,
inference(conjunct,[],[normalize_13_6]) ).
fof(normalize_13_8,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_13_9,plain,
op(e2,e2) != op(e2,e4),
inference(conjunct,[],[normalize_13_8]) ).
fof(normalize_13_10,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_11,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_13_12,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_13,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_14,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_15,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_16,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_17,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_18,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_19,plain,
e0 != e1,
inference(conjunct,[],[normalize_13_6]) ).
fof(normalize_13_20,plain,
e3 != e4,
inference(conjunct,[],[normalize_13_6]) ).
fof(normalize_13_21,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_13_8]) ).
fof(normalize_13_22,plain,
e1 != e2,
inference(conjunct,[],[normalize_13_6]) ).
fof(normalize_13_23,plain,
e2 != e3,
inference(conjunct,[],[normalize_13_6]) ).
fof(normalize_13_24,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_13_8]) ).
fof(normalize_13_25,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_26,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_27,plain,
op(e2,e2) != op(e4,e2),
inference(conjunct,[],[normalize_13_8]) ).
fof(normalize_13_28,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_29,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_13_8]) ).
fof(normalize_13_30,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_13_11]) ).
cnf(refute_13_0,plain,
op(op(e2,e3),e2) != e3,
inference(canonicalize,[],[normalize_13_1]) ).
cnf(refute_13_1,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(canonicalize,[],[normalize_13_3]) ).
cnf(refute_13_2,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_13_5]) ).
cnf(refute_13_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_13_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_13_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_13_3,refute_13_4]) ).
cnf(refute_13_6,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_13_7,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_13_2,refute_13_6]) ).
cnf(refute_13_8,plain,
( op(e4,e2) != e1
| op(e4,e2) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e3) ),[0],$fot(e1)]]) ).
cnf(refute_13_9,plain,
( op(e4,e2) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_13_7,refute_13_8]) ).
cnf(refute_13_10,plain,
( e1 = e3
| op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_13_1,refute_13_9]) ).
cnf(refute_13_11,plain,
e1 != e3,
inference(canonicalize,[],[normalize_13_7]) ).
cnf(refute_13_12,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_13_10,refute_13_11]) ).
cnf(refute_13_13,plain,
op(e2,e2) != op(e2,e4),
inference(canonicalize,[],[normalize_13_9]) ).
cnf(refute_13_14,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_13_10]) ).
cnf(refute_13_15,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_13_16,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_13_14,refute_13_15]) ).
cnf(refute_13_17,plain,
( op(e2,e2) != e3
| op(e2,e4) != e3
| op(e2,e2) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e2),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_13_18,plain,
( op(e2,e2) != e3
| op(e2,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_13_16,refute_13_17]) ).
cnf(refute_13_19,plain,
op(e2,e2) != e3,
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e4)) )],[refute_13_18,refute_13_13]) ).
cnf(refute_13_20,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_13_12,refute_13_19]) ).
cnf(refute_13_21,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_13_12]) ).
cnf(refute_13_22,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_13_13]) ).
cnf(refute_13_23,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_13_14]) ).
cnf(refute_13_24,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_13_15]) ).
cnf(refute_13_25,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_13_16]) ).
cnf(refute_13_26,plain,
( op(unit,e0) != e0
| unit != e1
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_13_27,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_13_25,refute_13_26]) ).
cnf(refute_13_28,plain,
( op(e1,e0) = e0
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_13_24,refute_13_27]) ).
cnf(refute_13_29,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_13_17]) ).
cnf(refute_13_30,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_13_18]) ).
cnf(refute_13_31,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_13_32,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_13_33,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_13_31,refute_13_32]) ).
cnf(refute_13_34,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_13_7,refute_13_33]) ).
cnf(refute_13_35,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_13_36,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_13_37,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_13_35,refute_13_36]) ).
cnf(refute_13_38,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_13_7,refute_13_37]) ).
cnf(refute_13_39,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_13_40,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_13_5,refute_13_39]) ).
cnf(refute_13_41,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_13_40:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_13_42,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_13_38,refute_13_41]) ).
cnf(refute_13_43,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_13_34,refute_13_42]) ).
cnf(refute_13_44,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_13_45,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_13_43,refute_13_44]) ).
cnf(refute_13_46,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_13_30,refute_13_45]) ).
cnf(refute_13_47,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_13_48,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_13_46,refute_13_47]) ).
cnf(refute_13_49,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_13_50,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_13_48,refute_13_49]) ).
cnf(refute_13_51,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_13_50,refute_13_29]) ).
cnf(refute_13_52,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_13_53,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_13_52,refute_13_51]) ).
cnf(refute_13_54,plain,
( op(e1,e0) != e0
| op(e1,e0) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[0],$fot(e1)]]) ).
cnf(refute_13_55,plain,
( op(e1,e0) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_13_53,refute_13_54]) ).
cnf(refute_13_56,plain,
( e1 = e0
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_13_28,refute_13_55]) ).
cnf(refute_13_57,plain,
e0 != e1,
inference(canonicalize,[],[normalize_13_19]) ).
cnf(refute_13_58,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_13_59,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_13_58,refute_13_57]) ).
cnf(refute_13_60,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_13_56,refute_13_59]) ).
cnf(refute_13_61,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_13_62,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_13_60,refute_13_61]) ).
cnf(refute_13_63,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_13_23,refute_13_62]) ).
cnf(refute_13_64,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_13_65,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_13_16,refute_13_64]) ).
cnf(refute_13_66,plain,
( e3 = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_13_63,refute_13_65]) ).
cnf(refute_13_67,plain,
e3 != e4,
inference(canonicalize,[],[normalize_13_20]) ).
cnf(refute_13_68,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_13_66,refute_13_67]) ).
cnf(refute_13_69,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_13_70,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_13_68,refute_13_69]) ).
cnf(refute_13_71,plain,
( op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_13_22,refute_13_70]) ).
cnf(refute_13_72,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_13_21]) ).
cnf(refute_13_73,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_13_74,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_13_53,refute_13_73]) ).
cnf(refute_13_75,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_13_74,refute_13_72]) ).
cnf(refute_13_76,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_13_77,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_13_76,refute_13_75]) ).
cnf(refute_13_78,plain,
( unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_13_71,refute_13_77]) ).
cnf(refute_13_79,plain,
( op(unit,e2) != e2
| unit != e4
| op(e4,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_13_80,plain,
( op(unit,e2) != e2
| op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_13_78,refute_13_79]) ).
cnf(refute_13_81,plain,
( op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_13_21,refute_13_80]) ).
cnf(refute_13_82,plain,
( op(e4,e2) != e1
| op(e4,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_13_83,plain,
( op(e4,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_13_7,refute_13_82]) ).
cnf(refute_13_84,plain,
( e1 = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_13_81,refute_13_83]) ).
cnf(refute_13_85,plain,
e1 != e2,
inference(canonicalize,[],[normalize_13_22]) ).
cnf(refute_13_86,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_13_84,refute_13_85]) ).
cnf(refute_13_87,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_13_88,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_13_89,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_13_87,refute_13_88]) ).
cnf(refute_13_90,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_86,refute_13_89]) ).
cnf(refute_13_91,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_13_92,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_13_90,refute_13_91]) ).
cnf(refute_13_93,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_13_21,refute_13_92]) ).
cnf(refute_13_94,plain,
( op(e0,e2) != e2
| op(e0,e2) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e3) ),[0],$fot(e2)]]) ).
cnf(refute_13_95,plain,
( op(e0,e2) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_13_93,refute_13_94]) ).
cnf(refute_13_96,plain,
( e2 = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_13_20,refute_13_95]) ).
cnf(refute_13_97,plain,
e2 != e3,
inference(canonicalize,[],[normalize_13_23]) ).
cnf(refute_13_98,plain,
( op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_13_96,refute_13_97]) ).
cnf(refute_13_99,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_13_24]) ).
cnf(refute_13_100,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_13_25]) ).
cnf(refute_13_101,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_13_102,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_13_103,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_13_101,refute_13_102]) ).
cnf(refute_13_104,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_86,refute_13_103]) ).
cnf(refute_13_105,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_13_106,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_13_104,refute_13_105]) ).
cnf(refute_13_107,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_13_100,refute_13_106]) ).
cnf(refute_13_108,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_13_109,plain,
( e3 != op(e3,e2)
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_13_107,refute_13_108]) ).
cnf(refute_13_110,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_13_109,refute_13_99]) ).
cnf(refute_13_111,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_13_112,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_13_111,refute_13_110]) ).
cnf(refute_13_113,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_13_98,refute_13_112]) ).
cnf(refute_13_114,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(canonicalize,[],[normalize_13_26]) ).
cnf(refute_13_115,plain,
( op(e2,e4) != e1
| op(e2,e4) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e1) ),[0],$fot(e3)]]) ).
cnf(refute_13_116,plain,
( op(e2,e4) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_13_16,refute_13_115]) ).
cnf(refute_13_117,plain,
( e3 = e1
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_13_114,refute_13_116]) ).
cnf(refute_13_118,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_13_119,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_13_118,refute_13_11]) ).
cnf(refute_13_120,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_13_117,refute_13_119]) ).
cnf(refute_13_121,plain,
op(e2,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_13_27]) ).
cnf(refute_13_122,plain,
( op(e2,e2) != e1
| op(e4,e2) != e1
| op(e2,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e2),op(e4,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_13_123,plain,
( op(e2,e2) != e1
| op(e2,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_13_7,refute_13_122]) ).
cnf(refute_13_124,plain,
op(e2,e2) != e1,
inference(resolve,[$cnf( $equal(op(e2,e2),op(e4,e2)) )],[refute_13_123,refute_13_121]) ).
cnf(refute_13_125,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_13_120,refute_13_124]) ).
cnf(refute_13_126,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_13_28]) ).
cnf(refute_13_127,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_13_128,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_13_129,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_13_127,refute_13_128]) ).
cnf(refute_13_130,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_86,refute_13_129]) ).
cnf(refute_13_131,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_13_132,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_13_130,refute_13_131]) ).
cnf(refute_13_133,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_13_126,refute_13_132]) ).
cnf(refute_13_134,plain,
( op(e2,e0) != e1
| op(e2,e0) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e1) ),[0],$fot(e2)]]) ).
cnf(refute_13_135,plain,
( op(e2,e0) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_13_133,refute_13_134]) ).
cnf(refute_13_136,plain,
( e2 = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_13_125,refute_13_135]) ).
cnf(refute_13_137,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_13_138,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_13_137,refute_13_85]) ).
cnf(refute_13_139,plain,
( op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_13_136,refute_13_138]) ).
cnf(refute_13_140,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_13_29]) ).
cnf(refute_13_141,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_13_30]) ).
cnf(refute_13_142,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_13_143,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_13_144,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_13_142,refute_13_143]) ).
cnf(refute_13_145,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_13_86,refute_13_144]) ).
cnf(refute_13_146,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_13_147,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_13_145,refute_13_146]) ).
cnf(refute_13_148,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_13_141,refute_13_147]) ).
cnf(refute_13_149,plain,
( e1 != op(e2,e1)
| op(e0,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_13_150,plain,
( e1 != op(e2,e1)
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_13_148,refute_13_149]) ).
cnf(refute_13_151,plain,
e1 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_13_150,refute_13_140]) ).
cnf(refute_13_152,plain,
( op(e2,e1) != e1
| e1 = op(e2,e1) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e1))]]) ).
cnf(refute_13_153,plain,
op(e2,e1) != e1,
inference(resolve,[$cnf( $equal(e1,op(e2,e1)) )],[refute_13_152,refute_13_151]) ).
cnf(refute_13_154,plain,
op(e2,e3) = e1,
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_13_139,refute_13_153]) ).
cnf(refute_13_155,plain,
op(op(e2,e3),e2) = op(op(e2,e3),e2),
introduced(tautology,[refl,[$fot(op(op(e2,e3),e2))]]) ).
cnf(refute_13_156,plain,
( op(e2,e3) != e1
| op(op(e2,e3),e2) != op(op(e2,e3),e2)
| op(op(e2,e3),e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e3),e2),op(op(e2,e3),e2)) ),[1,0],$fot(e1)]]) ).
cnf(refute_13_157,plain,
( op(e2,e3) != e1
| op(op(e2,e3),e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(op(e2,e3),e2),op(op(e2,e3),e2)) )],[refute_13_155,refute_13_156]) ).
cnf(refute_13_158,plain,
op(op(e2,e3),e2) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_13_154,refute_13_157]) ).
cnf(refute_13_159,plain,
( op(e1,e2) != e3
| op(op(e2,e3),e2) != op(e1,e2)
| op(op(e2,e3),e2) = e3 ),
inference(subst,[],[refute_13_40:[bind(X,$fot(op(op(e2,e3),e2))),bind(Y,$fot(op(e1,e2))),bind(Z,$fot(e3))]]) ).
cnf(refute_13_160,plain,
( op(e1,e2) != e3
| op(op(e2,e3),e2) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e2,e3),e2),op(e1,e2)) )],[refute_13_158,refute_13_159]) ).
cnf(refute_13_161,plain,
op(op(e2,e3),e2) = e3,
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_13_113,refute_13_160]) ).
cnf(refute_13_162,plain,
( e3 != e3
| op(op(e2,e3),e2) != e3
| op(op(e2,e3),e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e3),e2),e3) ),[0,0,1],$fot(e3)]]) ).
cnf(refute_13_163,plain,
( e3 != e3
| op(op(e2,e3),e2) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e2,e3),e2),e3) )],[refute_13_161,refute_13_162]) ).
cnf(refute_13_164,plain,
e3 != e3,
inference(resolve,[$cnf( $equal(op(op(e2,e3),e2),e3) )],[refute_13_163,refute_13_0]) ).
cnf(refute_13_165,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_13_166,plain,
$false,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_13_165,refute_13_164]) ).
fof(negate_14_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2 )
=> op(op(e2,e4),e2) = e4 ),
inference(negate,[],[subgoal_14]) ).
fof(normalize_14_0,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_14_1,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_2,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_14_3,plain,
op(e0,e3) != op(e3,e3),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_4,plain,
( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 ) ),
inference(canonicalize,[],[negate_14_0]) ).
fof(normalize_14_5,plain,
( op(e0,e0) != e3
| op(e0,e3) = e0 ),
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_6,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_7,plain,
op(e0,e0) != op(e2,e0),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_8,plain,
op(e2,e1) != op(e3,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_9,plain,
op(e3,e0) != op(e3,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_10,plain,
( ( 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(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = 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(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = 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(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_14_11,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
inference(conjunct,[],[normalize_14_10]) ).
fof(normalize_14_12,plain,
op(e2,e0) != op(e2,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_13,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_14_14,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_14_13]) ).
fof(normalize_14_15,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_16,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_14_13]) ).
fof(normalize_14_17,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_14_13]) ).
fof(normalize_14_18,plain,
op(e1,e4) != op(e4,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_19,plain,
( op(e4,e4) != e0
| op(e4,e0) = e4 ),
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_20,plain,
( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_21,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_22,plain,
op(e2,e4) != op(e4,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_23,plain,
op(e3,e4) != op(e4,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_24,plain,
op(op(e2,e4),e4) = e2,
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_25,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_26,plain,
op(e1,e4) != op(e2,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_27,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_28,plain,
op(e1,e0) != op(e1,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_29,plain,
op(e1,e4) != op(e3,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_30,plain,
op(e4,e2) != op(e2,e4),
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_31,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_14_32,plain,
e3 != e4,
inference(conjunct,[],[normalize_14_31]) ).
fof(normalize_14_33,plain,
( op(e3,e3) != e1
| op(e3,e1) = e3 ),
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_34,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 ),
inference(conjunct,[],[normalize_14_10]) ).
fof(normalize_14_35,plain,
op(e3,e2) != op(e4,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_36,plain,
e1 != e2,
inference(conjunct,[],[normalize_14_31]) ).
fof(normalize_14_37,plain,
op(e1,e0) != op(e3,e0),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_38,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_39,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_40,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_41,plain,
op(e3,e2) != op(e3,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_42,plain,
op(op(e2,e4),e2) != e4,
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_43,plain,
op(e2,e1) != op(e2,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_44,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_45,plain,
op(e2,e2) != op(e4,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_46,plain,
op(e2,e2) != op(e2,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_47,plain,
( op(e2,e2) != e4
| op(e2,e4) = e2 ),
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_48,plain,
e2 != e3,
inference(conjunct,[],[normalize_14_31]) ).
fof(normalize_14_49,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_50,plain,
op(e2,e1) != op(e2,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_51,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_52,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(conjunct,[],[normalize_14_10]) ).
fof(normalize_14_53,plain,
e0 != e3,
inference(conjunct,[],[normalize_14_31]) ).
fof(normalize_14_54,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(conjunct,[],[normalize_14_10]) ).
fof(normalize_14_55,plain,
op(e1,e0) != op(e2,e0),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_56,plain,
e0 != e1,
inference(conjunct,[],[normalize_14_31]) ).
fof(normalize_14_57,plain,
e1 != e4,
inference(conjunct,[],[normalize_14_31]) ).
fof(normalize_14_58,plain,
op(e0,e0) != op(e1,e0),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_59,plain,
( op(e0,e0) != e2
| op(e0,e2) = e0 ),
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_60,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(conjunct,[],[normalize_14_10]) ).
fof(normalize_14_61,plain,
op(e1,e2) != op(e1,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_62,plain,
e0 != e4,
inference(conjunct,[],[normalize_14_31]) ).
fof(normalize_14_63,plain,
( op(e0,e0) != e4
| op(e0,e4) = e0 ),
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_64,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_14_10]) ).
fof(normalize_14_65,plain,
op(e2,e3) != op(e3,e3),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_66,plain,
op(e0,e1) != op(e4,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_67,plain,
op(e3,e1) != op(e4,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_68,plain,
( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_69,plain,
op(e4,e1) != op(e4,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_70,plain,
op(e1,e1) != op(e4,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_71,plain,
op(e4,e0) != op(e4,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_72,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_73,plain,
op(e0,e1) != op(e1,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_74,plain,
op(e0,e1) != op(e0,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_75,plain,
op(e0,e0) != op(e0,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_76,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_77,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_78,plain,
op(e3,e3) != op(e3,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_79,plain,
op(e1,e3) != op(e3,e3),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_80,plain,
op(e2,e0) != op(e3,e0),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_81,plain,
op(e2,e0) != op(e2,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_82,plain,
( op(e2,e2) != e0
| op(e2,e0) = e2 ),
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_83,plain,
op(e0,e3) != op(e2,e3),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_84,plain,
e0 != e2,
inference(conjunct,[],[normalize_14_31]) ).
fof(normalize_14_85,plain,
op(e3,e1) != op(e3,e2),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_86,plain,
op(e3,e2) != op(e3,e3),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_87,plain,
op(e4,e1) != op(e4,e3),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_88,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(conjunct,[],[normalize_14_10]) ).
fof(normalize_14_89,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 ),
inference(conjunct,[],[normalize_14_10]) ).
fof(normalize_14_90,plain,
op(e2,e3) != op(e2,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_91,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_92,plain,
op(e3,e0) != op(e3,e4),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_93,plain,
op(e0,e0) != op(e3,e0),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_94,plain,
op(e3,e0) != op(e4,e0),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_95,plain,
( op(e3,e3) != e4
| op(e3,e4) = e3 ),
inference(conjunct,[],[normalize_14_4]) ).
cnf(refute_14_0,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(canonicalize,[],[normalize_14_1]) ).
cnf(refute_14_1,plain,
op(e0,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_14_3]) ).
cnf(refute_14_2,plain,
( op(e0,e0) != e3
| op(e0,e3) = e0 ),
inference(canonicalize,[],[normalize_14_5]) ).
cnf(refute_14_3,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(canonicalize,[],[normalize_14_6]) ).
cnf(refute_14_4,plain,
op(e0,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_14_7]) ).
cnf(refute_14_5,plain,
op(e2,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_14_8]) ).
cnf(refute_14_6,plain,
op(e3,e0) != op(e3,e1),
inference(canonicalize,[],[normalize_14_9]) ).
cnf(refute_14_7,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
inference(canonicalize,[],[normalize_14_11]) ).
cnf(refute_14_8,plain,
op(e2,e0) != op(e2,e4),
inference(canonicalize,[],[normalize_14_12]) ).
cnf(refute_14_9,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_14_14]) ).
cnf(refute_14_10,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_14_11,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_14_12,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_14_10,refute_14_11]) ).
cnf(refute_14_13,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_14_12:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_14_14,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_14_9,refute_14_13]) ).
cnf(refute_14_15,plain,
( op(e2,e0) != e3
| op(e2,e4) != e3
| op(e2,e0) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_14_16,plain,
( op(e2,e0) != e3
| op(e2,e0) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_14_14,refute_14_15]) ).
cnf(refute_14_17,plain,
op(e2,e0) != e3,
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e4)) )],[refute_14_16,refute_14_8]) ).
cnf(refute_14_18,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_14_7,refute_14_17]) ).
cnf(refute_14_19,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_14_15]) ).
cnf(refute_14_20,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_14_16]) ).
cnf(refute_14_21,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_14_17]) ).
cnf(refute_14_22,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_14_12:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_14_23,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_14_21,refute_14_22]) ).
cnf(refute_14_24,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_14_25,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_14_26,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_14_24,refute_14_25]) ).
cnf(refute_14_27,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_14_23,refute_14_26]) ).
cnf(refute_14_28,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_14_29,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_14_30,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_14_28,refute_14_29]) ).
cnf(refute_14_31,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_14_23,refute_14_30]) ).
cnf(refute_14_32,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_14_33,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_14_12,refute_14_32]) ).
cnf(refute_14_34,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_14_33:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_14_35,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_14_31,refute_14_34]) ).
cnf(refute_14_36,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_14_27,refute_14_35]) ).
cnf(refute_14_37,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_14_38,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_14_36,refute_14_37]) ).
cnf(refute_14_39,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_14_20,refute_14_38]) ).
cnf(refute_14_40,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_14_12:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_14_41,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_14_39,refute_14_40]) ).
cnf(refute_14_42,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_14_43,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_14_41,refute_14_42]) ).
cnf(refute_14_44,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_14_43,refute_14_19]) ).
cnf(refute_14_45,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_14_46,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_14_45,refute_14_44]) ).
cnf(refute_14_47,plain,
( op(e1,e0) != e1
| op(e1,e0) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e3) ),[0],$fot(e1)]]) ).
cnf(refute_14_48,plain,
( op(e1,e0) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_14_46,refute_14_47]) ).
cnf(refute_14_49,plain,
( e1 = e3
| op(e0,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_14_18,refute_14_48]) ).
cnf(refute_14_50,plain,
op(e1,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_14_18]) ).
cnf(refute_14_51,plain,
( op(e4,e4) != e0
| op(e4,e0) = e4 ),
inference(canonicalize,[],[normalize_14_19]) ).
cnf(refute_14_52,plain,
( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ),
inference(canonicalize,[],[normalize_14_20]) ).
cnf(refute_14_53,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_14_21]) ).
cnf(refute_14_54,plain,
( e1 != op(e4,e4)
| op(e4,e2) != e1
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e1) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_14_55,plain,
( e1 != op(e4,e4)
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_14_23,refute_14_54]) ).
cnf(refute_14_56,plain,
e1 != op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_14_55,refute_14_53]) ).
cnf(refute_14_57,plain,
( op(e4,e4) != e1
| e1 = op(e4,e4) ),
inference(subst,[],[refute_14_12:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(e1))]]) ).
cnf(refute_14_58,plain,
op(e4,e4) != e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_14_57,refute_14_56]) ).
cnf(refute_14_59,plain,
( op(e4,e4) = e0
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_14_52,refute_14_58]) ).
cnf(refute_14_60,plain,
op(e2,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_14_22]) ).
cnf(refute_14_61,plain,
( e3 != op(e4,e4)
| op(e2,e4) != e3
| op(e2,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e3) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_14_62,plain,
( e3 != op(e4,e4)
| op(e2,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_14_14,refute_14_61]) ).
cnf(refute_14_63,plain,
e3 != op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e4,e4)) )],[refute_14_62,refute_14_60]) ).
cnf(refute_14_64,plain,
( op(e4,e4) != e3
| e3 = op(e4,e4) ),
inference(subst,[],[refute_14_12:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(e3))]]) ).
cnf(refute_14_65,plain,
op(e4,e4) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e4)) )],[refute_14_64,refute_14_63]) ).
cnf(refute_14_66,plain,
( op(e4,e4) = e0
| op(e4,e4) = e2
| op(e4,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_14_59,refute_14_65]) ).
cnf(refute_14_67,plain,
op(e3,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_14_23]) ).
cnf(refute_14_68,plain,
op(op(e2,e4),e4) = e2,
inference(canonicalize,[],[normalize_14_24]) ).
cnf(refute_14_69,plain,
op(op(e2,e4),e4) = op(op(e2,e4),e4),
introduced(tautology,[refl,[$fot(op(op(e2,e4),e4))]]) ).
cnf(refute_14_70,plain,
( op(e2,e4) != e3
| op(op(e2,e4),e4) != op(op(e2,e4),e4)
| op(op(e2,e4),e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),e4),op(op(e2,e4),e4)) ),[1,0],$fot(e3)]]) ).
cnf(refute_14_71,plain,
( op(e2,e4) != e3
| op(op(e2,e4),e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e4),op(op(e2,e4),e4)) )],[refute_14_69,refute_14_70]) ).
cnf(refute_14_72,plain,
op(op(e2,e4),e4) = op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_14_14,refute_14_71]) ).
cnf(refute_14_73,plain,
( op(op(e2,e4),e4) != e2
| op(op(e2,e4),e4) != op(e3,e4)
| op(e3,e4) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),e4),e2) ),[0],$fot(op(e3,e4))]]) ).
cnf(refute_14_74,plain,
( op(op(e2,e4),e4) != e2
| op(e3,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e4),op(e3,e4)) )],[refute_14_72,refute_14_73]) ).
cnf(refute_14_75,plain,
op(e3,e4) = e2,
inference(resolve,[$cnf( $equal(op(op(e2,e4),e4),e2) )],[refute_14_68,refute_14_74]) ).
cnf(refute_14_76,plain,
( e2 != op(e4,e4)
| op(e3,e4) != e2
| op(e3,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e2) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_14_77,plain,
( e2 != op(e4,e4)
| op(e3,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_14_75,refute_14_76]) ).
cnf(refute_14_78,plain,
e2 != op(e4,e4),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e4,e4)) )],[refute_14_77,refute_14_67]) ).
cnf(refute_14_79,plain,
( op(e4,e4) != e2
| e2 = op(e4,e4) ),
inference(subst,[],[refute_14_12:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(e2))]]) ).
cnf(refute_14_80,plain,
op(e4,e4) != e2,
inference(resolve,[$cnf( $equal(e2,op(e4,e4)) )],[refute_14_79,refute_14_78]) ).
cnf(refute_14_81,plain,
( op(e4,e4) = e0
| op(e4,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_14_66,refute_14_80]) ).
cnf(refute_14_82,plain,
( e0 != e0
| op(e4,e4) != e0
| op(e4,e4) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e4),e0) ),[1],$fot(e0)]]) ).
cnf(refute_14_83,plain,
( e0 != e0
| op(e4,e4) = e0
| op(e4,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_14_81,refute_14_82]) ).
cnf(refute_14_84,plain,
( e0 != e0
| op(e4,e0) = e4
| op(e4,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_14_83,refute_14_51]) ).
cnf(refute_14_85,plain,
( op(e4,e0) = e4
| op(e4,e4) = e4 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_14_45,refute_14_84]) ).
cnf(refute_14_86,plain,
( op(e1,e4) != e4
| op(e4,e4) != e4
| op(e1,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e4,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_14_87,plain,
( op(e1,e4) != e4
| op(e1,e4) = op(e4,e4)
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_14_85,refute_14_86]) ).
cnf(refute_14_88,plain,
( op(e1,e4) != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e4,e4)) )],[refute_14_87,refute_14_50]) ).
cnf(refute_14_89,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(canonicalize,[],[normalize_14_25]) ).
cnf(refute_14_90,plain,
op(e1,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_14_26]) ).
cnf(refute_14_91,plain,
( op(e1,e4) != e3
| op(e2,e4) != e3
| op(e1,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_14_92,plain,
( op(e1,e4) != e3
| op(e1,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_14_14,refute_14_91]) ).
cnf(refute_14_93,plain,
op(e1,e4) != e3,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e2,e4)) )],[refute_14_92,refute_14_90]) ).
cnf(refute_14_94,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_14_89,refute_14_93]) ).
cnf(refute_14_95,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_14_27]) ).
cnf(refute_14_96,plain,
( e0 != op(e1,e4)
| op(e1,e1) != e0
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_14_97,plain,
( e0 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_14_41,refute_14_96]) ).
cnf(refute_14_98,plain,
e0 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_14_97,refute_14_95]) ).
cnf(refute_14_99,plain,
( op(e1,e4) != e0
| e0 = op(e1,e4) ),
inference(subst,[],[refute_14_12:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e0))]]) ).
cnf(refute_14_100,plain,
op(e1,e4) != e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_14_99,refute_14_98]) ).
cnf(refute_14_101,plain,
( op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_14_94,refute_14_100]) ).
cnf(refute_14_102,plain,
op(e1,e0) != op(e1,e4),
inference(canonicalize,[],[normalize_14_28]) ).
cnf(refute_14_103,plain,
( e1 != op(e1,e4)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_14_104,plain,
( e1 != op(e1,e4)
| op(e1,e0) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_14_46,refute_14_103]) ).
cnf(refute_14_105,plain,
e1 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e4)) )],[refute_14_104,refute_14_102]) ).
cnf(refute_14_106,plain,
( op(e1,e4) != e1
| e1 = op(e1,e4) ),
inference(subst,[],[refute_14_12:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e1))]]) ).
cnf(refute_14_107,plain,
op(e1,e4) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e4)) )],[refute_14_106,refute_14_105]) ).
cnf(refute_14_108,plain,
( op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_14_101,refute_14_107]) ).
cnf(refute_14_109,plain,
op(e1,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_14_29]) ).
cnf(refute_14_110,plain,
( op(e1,e4) != e2
| op(e3,e4) != e2
| op(e1,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_14_111,plain,
( op(e1,e4) != e2
| op(e1,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_14_75,refute_14_110]) ).
cnf(refute_14_112,plain,
op(e1,e4) != e2,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e3,e4)) )],[refute_14_111,refute_14_109]) ).
cnf(refute_14_113,plain,
op(e1,e4) = e4,
inference(resolve,[$cnf( $equal(op(e1,e4),e2) )],[refute_14_108,refute_14_112]) ).
cnf(refute_14_114,plain,
( e4 != e4
| op(e1,e4) != e4
| op(e1,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0,1],$fot(e4)]]) ).
cnf(refute_14_115,plain,
( e4 != e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_14_113,refute_14_114]) ).
cnf(refute_14_116,plain,
( e4 != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_14_115,refute_14_88]) ).
cnf(refute_14_117,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_14_118,plain,
op(e4,e0) = e4,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_14_117,refute_14_116]) ).
cnf(refute_14_119,plain,
( op(e4,e0) != e3
| op(e4,e0) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e3) ),[0],$fot(e4)]]) ).
cnf(refute_14_120,plain,
( op(e4,e0) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_14_118,refute_14_119]) ).
cnf(refute_14_121,plain,
( e1 = e3
| e4 = e3
| op(e0,e0) = e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_14_49,refute_14_120]) ).
cnf(refute_14_122,plain,
op(e4,e2) != op(e2,e4),
inference(canonicalize,[],[normalize_14_30]) ).
cnf(refute_14_123,plain,
( e1 != op(e2,e4)
| op(e4,e2) != e1
| op(e4,e2) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e1) ),[1],$fot(op(e2,e4))]]) ).
cnf(refute_14_124,plain,
( e1 != op(e2,e4)
| op(e4,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_14_23,refute_14_123]) ).
cnf(refute_14_125,plain,
( e1 != e3
| op(e2,e4) != e3
| e1 = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_14_126,plain,
( e1 != e3
| e1 = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_14_14,refute_14_125]) ).
cnf(refute_14_127,plain,
( e1 != e3
| op(e4,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(e1,op(e2,e4)) )],[refute_14_126,refute_14_124]) ).
cnf(refute_14_128,plain,
e1 != e3,
inference(resolve,[$cnf( $equal(op(e4,e2),op(e2,e4)) )],[refute_14_127,refute_14_122]) ).
cnf(refute_14_129,plain,
( e4 = e3
| op(e0,e0) = e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_14_121,refute_14_128]) ).
cnf(refute_14_130,plain,
e3 != e4,
inference(canonicalize,[],[normalize_14_32]) ).
cnf(refute_14_131,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_14_12:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_14_132,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_14_131,refute_14_130]) ).
cnf(refute_14_133,plain,
( op(e0,e0) = e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_14_129,refute_14_132]) ).
cnf(refute_14_134,plain,
( e3 != op(e3,e1)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_14_135,plain,
( e3 != op(e3,e1)
| op(e0,e0) = e3
| op(e3,e0) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_14_133,refute_14_134]) ).
cnf(refute_14_136,plain,
( e3 != op(e3,e1)
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e1)) )],[refute_14_135,refute_14_6]) ).
cnf(refute_14_137,plain,
( op(e3,e3) != e1
| op(e3,e1) = e3 ),
inference(canonicalize,[],[normalize_14_33]) ).
cnf(refute_14_138,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 ),
inference(canonicalize,[],[normalize_14_34]) ).
cnf(refute_14_139,plain,
op(e3,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_14_35]) ).
cnf(refute_14_140,plain,
( op(e3,e2) != e1
| op(e4,e2) != e1
| op(e3,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e4,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_14_141,plain,
( op(e3,e2) != e1
| op(e3,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_14_23,refute_14_140]) ).
cnf(refute_14_142,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e4,e2)) )],[refute_14_141,refute_14_139]) ).
cnf(refute_14_143,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_14_138,refute_14_142]) ).
cnf(refute_14_144,plain,
( op(e3,e4) != e1
| op(e3,e4) != e2
| e2 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e1) ),[0],$fot(e2)]]) ).
cnf(refute_14_145,plain,
( op(e3,e4) != e1
| e2 = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_14_75,refute_14_144]) ).
cnf(refute_14_146,plain,
( e2 = e1
| op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_14_143,refute_14_145]) ).
cnf(refute_14_147,plain,
e1 != e2,
inference(canonicalize,[],[normalize_14_36]) ).
cnf(refute_14_148,plain,
( e2 != e1
| e1 = e2 ),
inference(subst,[],[refute_14_12:[bind(X,$fot(e2)),bind(Y,$fot(e1))]]) ).
cnf(refute_14_149,plain,
e2 != e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_14_148,refute_14_147]) ).
cnf(refute_14_150,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_14_146,refute_14_149]) ).
cnf(refute_14_151,plain,
op(e1,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_14_37]) ).
cnf(refute_14_152,plain,
( e1 != op(e3,e0)
| op(e1,e0) != e1
| op(e1,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_14_153,plain,
( e1 != op(e3,e0)
| op(e1,e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_14_46,refute_14_152]) ).
cnf(refute_14_154,plain,
e1 != op(e3,e0),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e3,e0)) )],[refute_14_153,refute_14_151]) ).
cnf(refute_14_155,plain,
( op(e3,e0) != e1
| e1 = op(e3,e0) ),
inference(subst,[],[refute_14_12:[bind(X,$fot(op(e3,e0))),bind(Y,$fot(e1))]]) ).
cnf(refute_14_156,plain,
op(e3,e0) != e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e0)) )],[refute_14_155,refute_14_154]) ).
cnf(refute_14_157,plain,
( op(e3,e1) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_14_150,refute_14_156]) ).
cnf(refute_14_158,plain,
( e1 != e1
| op(e3,e3) != e1
| op(e3,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e3),e1) ),[1],$fot(e1)]]) ).
cnf(refute_14_159,plain,
( e1 != e1
| op(e3,e1) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_14_157,refute_14_158]) ).
cnf(refute_14_160,plain,
( e1 != e1
| op(e3,e1) = e1
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_14_159,refute_14_137]) ).
cnf(refute_14_161,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_14_162,plain,
( op(e3,e1) = e1
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_14_161,refute_14_160]) ).
cnf(refute_14_163,plain,
( e3 != e3
| op(e3,e1) != e3
| e3 = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e3,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_14_164,plain,
( e3 != e3
| e3 = op(e3,e1)
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_14_162,refute_14_163]) ).
cnf(refute_14_165,plain,
( e3 != e3
| op(e0,e0) = e3
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(e3,op(e3,e1)) )],[refute_14_164,refute_14_136]) ).
cnf(refute_14_166,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_14_167,plain,
( op(e0,e0) = e3
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_14_166,refute_14_165]) ).
cnf(refute_14_168,plain,
( op(e2,e1) != e1
| op(e3,e1) != e1
| op(e2,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e3,e1)) ),[1],$fot(e1)]]) ).
cnf(refute_14_169,plain,
( op(e2,e1) != e1
| op(e0,e0) = e3
| op(e2,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_14_167,refute_14_168]) ).
cnf(refute_14_170,plain,
( op(e2,e1) != e1
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e3,e1)) )],[refute_14_169,refute_14_5]) ).
cnf(refute_14_171,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_14_38]) ).
cnf(refute_14_172,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_14_173,plain,
( e3 != op(e3,e2)
| op(e0,e0) = e3
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_14_133,refute_14_172]) ).
cnf(refute_14_174,plain,
( e3 != op(e3,e2)
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_14_173,refute_14_171]) ).
cnf(refute_14_175,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_14_39]) ).
cnf(refute_14_176,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(canonicalize,[],[normalize_14_40]) ).
cnf(refute_14_177,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_14_176,refute_14_142]) ).
cnf(refute_14_178,plain,
op(e3,e2) != op(e3,e4),
inference(canonicalize,[],[normalize_14_41]) ).
cnf(refute_14_179,plain,
( op(e3,e2) != e2
| op(e3,e4) != e2
| op(e3,e2) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_14_180,plain,
( op(e3,e2) != e2
| op(e3,e2) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_14_75,refute_14_179]) ).
cnf(refute_14_181,plain,
op(e3,e2) != e2,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e4)) )],[refute_14_180,refute_14_178]) ).
cnf(refute_14_182,plain,
( op(e3,e2) = e0
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_14_177,refute_14_181]) ).
cnf(refute_14_183,plain,
op(op(e2,e4),e2) != e4,
inference(canonicalize,[],[normalize_14_42]) ).
cnf(refute_14_184,plain,
op(op(e2,e4),e2) = op(op(e2,e4),e2),
introduced(tautology,[refl,[$fot(op(op(e2,e4),e2))]]) ).
cnf(refute_14_185,plain,
( op(e2,e4) != e3
| op(op(e2,e4),e2) != op(op(e2,e4),e2)
| op(op(e2,e4),e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),e2),op(op(e2,e4),e2)) ),[1,0],$fot(e3)]]) ).
cnf(refute_14_186,plain,
( op(e2,e4) != e3
| op(op(e2,e4),e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e2),op(op(e2,e4),e2)) )],[refute_14_184,refute_14_185]) ).
cnf(refute_14_187,plain,
op(op(e2,e4),e2) = op(e3,e2),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_14_14,refute_14_186]) ).
cnf(refute_14_188,plain,
( op(e3,e2) != e4
| op(op(e2,e4),e2) != op(e3,e2)
| op(op(e2,e4),e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e4),e2),op(e3,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_14_189,plain,
( op(e3,e2) != e4
| op(op(e2,e4),e2) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e2,e4),e2),op(e3,e2)) )],[refute_14_187,refute_14_188]) ).
cnf(refute_14_190,plain,
op(e3,e2) != e4,
inference(resolve,[$cnf( $equal(op(op(e2,e4),e2),e4) )],[refute_14_189,refute_14_183]) ).
cnf(refute_14_191,plain,
( op(e3,e2) = e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_14_182,refute_14_190]) ).
cnf(refute_14_192,plain,
( op(e2,e2) != e0
| op(e3,e2) != e0
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e2),op(e3,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_14_193,plain,
( op(e2,e2) != e0
| op(e2,e2) = op(e3,e2)
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_14_191,refute_14_192]) ).
cnf(refute_14_194,plain,
( op(e2,e2) != e0
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_14_193,refute_14_175]) ).
cnf(refute_14_195,plain,
op(e2,e1) != op(e2,e2),
inference(canonicalize,[],[normalize_14_43]) ).
cnf(refute_14_196,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 ),
inference(canonicalize,[],[normalize_14_44]) ).
cnf(refute_14_197,plain,
op(e2,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_14_45]) ).
cnf(refute_14_198,plain,
( op(e2,e2) != e1
| op(e4,e2) != e1
| op(e2,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e2),op(e4,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_14_199,plain,
( op(e2,e2) != e1
| op(e2,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_14_23,refute_14_198]) ).
cnf(refute_14_200,plain,
op(e2,e2) != e1,
inference(resolve,[$cnf( $equal(op(e2,e2),op(e4,e2)) )],[refute_14_199,refute_14_197]) ).
cnf(refute_14_201,plain,
( op(e2,e2) = e0
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_14_196,refute_14_200]) ).
cnf(refute_14_202,plain,
op(e2,e2) != op(e2,e4),
inference(canonicalize,[],[normalize_14_46]) ).
cnf(refute_14_203,plain,
( op(e2,e2) != e3
| op(e2,e4) != e3
| op(e2,e2) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e2),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_14_204,plain,
( op(e2,e2) != e3
| op(e2,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_14_14,refute_14_203]) ).
cnf(refute_14_205,plain,
op(e2,e2) != e3,
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e4)) )],[refute_14_204,refute_14_202]) ).
cnf(refute_14_206,plain,
( op(e2,e2) = e0
| op(e2,e2) = e2
| op(e2,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_14_201,refute_14_205]) ).
cnf(refute_14_207,plain,
( op(e2,e2) != e4
| op(e2,e4) = e2 ),
inference(canonicalize,[],[normalize_14_47]) ).
cnf(refute_14_208,plain,
( op(e2,e4) != e2
| op(e2,e4) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e2) ),[0],$fot(e3)]]) ).
cnf(refute_14_209,plain,
( op(e2,e4) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_14_14,refute_14_208]) ).
cnf(refute_14_210,plain,
( op(e2,e2) != e4
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e2) )],[refute_14_207,refute_14_209]) ).
cnf(refute_14_211,plain,
e2 != e3,
inference(canonicalize,[],[normalize_14_48]) ).
cnf(refute_14_212,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_14_12:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_14_213,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_14_212,refute_14_211]) ).
cnf(refute_14_214,plain,
op(e2,e2) != e4,
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_14_210,refute_14_213]) ).
cnf(refute_14_215,plain,
( op(e2,e2) = e0
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_14_206,refute_14_214]) ).
cnf(refute_14_216,plain,
( op(e2,e1) != e2
| op(e2,e2) != e2
| op(e2,e1) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_14_217,plain,
( op(e2,e1) != e2
| op(e2,e1) = op(e2,e2)
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_14_215,refute_14_216]) ).
cnf(refute_14_218,plain,
( op(e2,e1) != e2
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e2)) )],[refute_14_217,refute_14_195]) ).
cnf(refute_14_219,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_14_49]) ).
cnf(refute_14_220,plain,
op(e2,e1) != op(e2,e4),
inference(canonicalize,[],[normalize_14_50]) ).
cnf(refute_14_221,plain,
( op(e2,e1) != e3
| op(e2,e4) != e3
| op(e2,e1) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_14_222,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_14_14,refute_14_221]) ).
cnf(refute_14_223,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e4)) )],[refute_14_222,refute_14_220]) ).
cnf(refute_14_224,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_14_219,refute_14_223]) ).
cnf(refute_14_225,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_14_51]) ).
cnf(refute_14_226,plain,
( e0 != op(e2,e1)
| op(e1,e1) != e0
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_14_227,plain,
( e0 != op(e2,e1)
| op(e1,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_14_41,refute_14_226]) ).
cnf(refute_14_228,plain,
e0 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_14_227,refute_14_225]) ).
cnf(refute_14_229,plain,
( op(e2,e1) != e0
| e0 = op(e2,e1) ),
inference(subst,[],[refute_14_12:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e0))]]) ).
cnf(refute_14_230,plain,
op(e2,e1) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e1)) )],[refute_14_229,refute_14_228]) ).
cnf(refute_14_231,plain,
( op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_14_224,refute_14_230]) ).
cnf(refute_14_232,plain,
( e2 != e2
| op(e2,e1) != e2
| op(e2,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_14_233,plain,
( e2 != e2
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_14_231,refute_14_232]) ).
cnf(refute_14_234,plain,
( e2 != e2
| op(e2,e1) = e1
| op(e2,e1) = e4
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_14_233,refute_14_218]) ).
cnf(refute_14_235,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_14_236,plain,
( op(e2,e1) = e1
| op(e2,e1) = e4
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_14_235,refute_14_234]) ).
cnf(refute_14_237,plain,
( e0 != e0
| op(e2,e2) != e0
| op(e2,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[1],$fot(e0)]]) ).
cnf(refute_14_238,plain,
( e0 != e0
| op(e2,e1) = e1
| op(e2,e1) = e4
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_14_236,refute_14_237]) ).
cnf(refute_14_239,plain,
( e0 != e0
| op(e2,e1) = e1
| op(e2,e1) = e4
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_14_238,refute_14_194]) ).
cnf(refute_14_240,plain,
( op(e2,e1) = e1
| op(e2,e1) = e4
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_14_45,refute_14_239]) ).
cnf(refute_14_241,plain,
( e3 != e3
| op(e3,e2) != e3
| e3 = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e3,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_14_242,plain,
( e3 != e3
| e3 = op(e3,e2)
| op(e2,e1) = e1
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_14_240,refute_14_241]) ).
cnf(refute_14_243,plain,
( e3 != e3
| op(e0,e0) = e3
| op(e2,e1) = e1
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_14_242,refute_14_174]) ).
cnf(refute_14_244,plain,
( op(e0,e0) = e3
| op(e2,e1) = e1
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_14_166,refute_14_243]) ).
cnf(refute_14_245,plain,
( e1 != e1
| op(e2,e1) != e1
| op(e2,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_14_246,plain,
( e1 != e1
| op(e0,e0) = e3
| op(e2,e1) = e1
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_14_244,refute_14_245]) ).
cnf(refute_14_247,plain,
( e1 != e1
| op(e0,e0) = e3
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_14_246,refute_14_170]) ).
cnf(refute_14_248,plain,
( op(e0,e0) = e3
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_14_161,refute_14_247]) ).
cnf(refute_14_249,plain,
( op(e3,e0) != e3
| op(e3,e2) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_14_250,plain,
( op(e3,e0) != e3
| op(e3,e0) = op(e3,e2)
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_14_191,refute_14_249]) ).
cnf(refute_14_251,plain,
( op(e3,e0) != e3
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_14_250,refute_14_171]) ).
cnf(refute_14_252,plain,
( e3 != e3
| op(e3,e0) != e3
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_14_253,plain,
( e3 != e3
| op(e0,e0) = e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_14_133,refute_14_252]) ).
cnf(refute_14_254,plain,
( e3 != e3
| op(e0,e0) = e3
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_14_253,refute_14_251]) ).
cnf(refute_14_255,plain,
( op(e0,e0) = e3
| op(e3,e2) = e0 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_14_166,refute_14_254]) ).
cnf(refute_14_256,plain,
( op(e2,e2) != e0
| op(e0,e0) = e3
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_14_255,refute_14_192]) ).
cnf(refute_14_257,plain,
( op(e2,e2) != e0
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_14_256,refute_14_175]) ).
cnf(refute_14_258,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(canonicalize,[],[normalize_14_52]) ).
cnf(refute_14_259,plain,
( op(e2,e4) != e0
| op(e2,e4) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e0) ),[0],$fot(e3)]]) ).
cnf(refute_14_260,plain,
( op(e2,e4) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_14_14,refute_14_259]) ).
cnf(refute_14_261,plain,
( e3 = e0
| op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_14_258,refute_14_260]) ).
cnf(refute_14_262,plain,
e0 != e3,
inference(canonicalize,[],[normalize_14_53]) ).
cnf(refute_14_263,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_14_12:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_14_264,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_14_263,refute_14_262]) ).
cnf(refute_14_265,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_14_261,refute_14_264]) ).
cnf(refute_14_266,plain,
( op(e2,e0) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_14_265,refute_14_230]) ).
cnf(refute_14_267,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(canonicalize,[],[normalize_14_54]) ).
cnf(refute_14_268,plain,
( op(e2,e4) != e1
| op(e2,e4) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e1) ),[0],$fot(e3)]]) ).
cnf(refute_14_269,plain,
( op(e2,e4) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_14_14,refute_14_268]) ).
cnf(refute_14_270,plain,
( e3 = e1
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_14_267,refute_14_269]) ).
cnf(refute_14_271,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_14_12:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_14_272,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_14_271,refute_14_128]) ).
cnf(refute_14_273,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_14_270,refute_14_272]) ).
cnf(refute_14_274,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_14_273,refute_14_200]) ).
cnf(refute_14_275,plain,
op(e1,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_14_55]) ).
cnf(refute_14_276,plain,
( e1 != op(e2,e0)
| op(e1,e0) != e1
| op(e1,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_14_277,plain,
( e1 != op(e2,e0)
| op(e1,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_14_46,refute_14_276]) ).
cnf(refute_14_278,plain,
e1 != op(e2,e0),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e2,e0)) )],[refute_14_277,refute_14_275]) ).
cnf(refute_14_279,plain,
( op(e2,e0) != e1
| e1 = op(e2,e0) ),
inference(subst,[],[refute_14_12:[bind(X,$fot(op(e2,e0))),bind(Y,$fot(e1))]]) ).
cnf(refute_14_280,plain,
op(e2,e0) != e1,
inference(resolve,[$cnf( $equal(e1,op(e2,e0)) )],[refute_14_279,refute_14_278]) ).
cnf(refute_14_281,plain,
( op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_14_274,refute_14_280]) ).
cnf(refute_14_282,plain,
( op(e2,e3) != e0
| op(e2,e3) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e0) ),[0],$fot(e1)]]) ).
cnf(refute_14_283,plain,
( op(e2,e3) != e0
| e1 = e0
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_14_281,refute_14_282]) ).
cnf(refute_14_284,plain,
( e1 = e0
| op(e2,e0) = e0
| op(e2,e1) = e1
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_14_266,refute_14_283]) ).
cnf(refute_14_285,plain,
e0 != e1,
inference(canonicalize,[],[normalize_14_56]) ).
cnf(refute_14_286,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_14_12:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_14_287,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_14_286,refute_14_285]) ).
cnf(refute_14_288,plain,
( op(e2,e0) = e0
| op(e2,e1) = e1
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_14_284,refute_14_287]) ).
cnf(refute_14_289,plain,
( e0 != e0
| op(e2,e0) = e0
| op(e2,e1) = e1
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_14_288,refute_14_237]) ).
cnf(refute_14_290,plain,
( e0 != e0
| op(e0,e0) = e3
| op(e2,e0) = e0
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_14_289,refute_14_257]) ).
cnf(refute_14_291,plain,
( op(e0,e0) = e3
| op(e2,e0) = e0
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_14_45,refute_14_290]) ).
cnf(refute_14_292,plain,
( op(e2,e1) != e1
| op(e2,e1) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e4) ),[0],$fot(e1)]]) ).
cnf(refute_14_293,plain,
( op(e2,e1) != e4
| e1 = e4
| op(e0,e0) = e3
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_14_291,refute_14_292]) ).
cnf(refute_14_294,plain,
( e1 = e4
| op(e0,e0) = e3
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_14_248,refute_14_293]) ).
cnf(refute_14_295,plain,
e1 != e4,
inference(canonicalize,[],[normalize_14_57]) ).
cnf(refute_14_296,plain,
( op(e0,e0) = e3
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_14_294,refute_14_295]) ).
cnf(refute_14_297,plain,
( op(e0,e0) != e0
| op(e2,e0) != e0
| op(e0,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e2,e0)) ),[1],$fot(e0)]]) ).
cnf(refute_14_298,plain,
( op(e0,e0) != e0
| op(e0,e0) = e3
| op(e0,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_14_296,refute_14_297]) ).
cnf(refute_14_299,plain,
( op(e0,e0) != e0
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e2,e0)) )],[refute_14_298,refute_14_4]) ).
cnf(refute_14_300,plain,
( op(e0,e0) != e0
| op(e0,e0) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[0],$fot(e0)]]) ).
cnf(refute_14_301,plain,
( op(e0,e0) != e0
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_14_299,refute_14_300]) ).
cnf(refute_14_302,plain,
op(e0,e0) != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_14_301,refute_14_262]) ).
cnf(refute_14_303,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_14_3,refute_14_302]) ).
cnf(refute_14_304,plain,
op(e0,e0) != op(e1,e0),
inference(canonicalize,[],[normalize_14_58]) ).
cnf(refute_14_305,plain,
( op(e0,e0) != e1
| op(e1,e0) != e1
| op(e0,e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e0),op(e1,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_14_306,plain,
( op(e0,e0) != e1
| op(e0,e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_14_46,refute_14_305]) ).
cnf(refute_14_307,plain,
op(e0,e0) != e1,
inference(resolve,[$cnf( $equal(op(e0,e0),op(e1,e0)) )],[refute_14_306,refute_14_304]) ).
cnf(refute_14_308,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_14_303,refute_14_307]) ).
cnf(refute_14_309,plain,
( op(e0,e0) != e2
| op(e0,e2) = e0 ),
inference(canonicalize,[],[normalize_14_59]) ).
cnf(refute_14_310,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(canonicalize,[],[normalize_14_60]) ).
cnf(refute_14_311,plain,
( op(e4,e2) != e1
| op(e4,e2) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e4) ),[0],$fot(e1)]]) ).
cnf(refute_14_312,plain,
( op(e4,e2) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_14_23,refute_14_311]) ).
cnf(refute_14_313,plain,
( e1 = e4
| op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_14_310,refute_14_312]) ).
cnf(refute_14_314,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_14_313,refute_14_295]) ).
cnf(refute_14_315,plain,
op(e1,e2) != op(e1,e4),
inference(canonicalize,[],[normalize_14_61]) ).
cnf(refute_14_316,plain,
( op(e1,e2) != e4
| op(e1,e4) != e4
| op(e1,e2) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e1,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_14_317,plain,
( op(e1,e2) != e4
| op(e1,e2) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_14_113,refute_14_316]) ).
cnf(refute_14_318,plain,
op(e1,e2) != e4,
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e4)) )],[refute_14_317,refute_14_315]) ).
cnf(refute_14_319,plain,
( op(e0,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_14_314,refute_14_318]) ).
cnf(refute_14_320,plain,
( op(e0,e2) = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_14_319,refute_14_214]) ).
cnf(refute_14_321,plain,
op(e0,e2) = e4,
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_14_320,refute_14_190]) ).
cnf(refute_14_322,plain,
( op(e0,e2) != e0
| op(e0,e2) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e0) ),[0],$fot(e4)]]) ).
cnf(refute_14_323,plain,
( op(e0,e2) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_14_321,refute_14_322]) ).
cnf(refute_14_324,plain,
( op(e0,e0) != e2
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_14_309,refute_14_323]) ).
cnf(refute_14_325,plain,
e0 != e4,
inference(canonicalize,[],[normalize_14_62]) ).
cnf(refute_14_326,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_14_12:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_14_327,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_14_326,refute_14_325]) ).
cnf(refute_14_328,plain,
op(e0,e0) != e2,
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_14_324,refute_14_327]) ).
cnf(refute_14_329,plain,
( op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_14_308,refute_14_328]) ).
cnf(refute_14_330,plain,
( op(e0,e0) != e4
| op(e0,e4) = e0 ),
inference(canonicalize,[],[normalize_14_63]) ).
cnf(refute_14_331,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_14_64]) ).
cnf(refute_14_332,plain,
( e3 = e1
| op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_14_331,refute_14_269]) ).
cnf(refute_14_333,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_14_332,refute_14_272]) ).
cnf(refute_14_334,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_14_333,refute_14_58]) ).
cnf(refute_14_335,plain,
( e2 = e1
| op(e0,e4) = e1
| op(e1,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_14_334,refute_14_145]) ).
cnf(refute_14_336,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_14_335,refute_14_149]) ).
cnf(refute_14_337,plain,
op(e0,e4) = e1,
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_14_336,refute_14_107]) ).
cnf(refute_14_338,plain,
( op(e0,e4) != e0
| op(e0,e4) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e0) ),[0],$fot(e1)]]) ).
cnf(refute_14_339,plain,
( op(e0,e4) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_14_337,refute_14_338]) ).
cnf(refute_14_340,plain,
( op(e0,e0) != e4
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_14_330,refute_14_339]) ).
cnf(refute_14_341,plain,
op(e0,e0) != e4,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_14_340,refute_14_287]) ).
cnf(refute_14_342,plain,
op(e0,e0) = e3,
inference(resolve,[$cnf( $equal(op(e0,e0),e4) )],[refute_14_329,refute_14_341]) ).
cnf(refute_14_343,plain,
( e3 != e3
| op(e0,e0) != e3
| op(e0,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(e3)]]) ).
cnf(refute_14_344,plain,
( e3 != e3
| op(e0,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_14_342,refute_14_343]) ).
cnf(refute_14_345,plain,
( e3 != e3
| op(e0,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_14_344,refute_14_2]) ).
cnf(refute_14_346,plain,
op(e0,e3) = e0,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_14_166,refute_14_345]) ).
cnf(refute_14_347,plain,
( e0 != op(e3,e3)
| op(e0,e3) != e0
| op(e0,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e0) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_14_348,plain,
( e0 != op(e3,e3)
| op(e0,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_14_346,refute_14_347]) ).
cnf(refute_14_349,plain,
e0 != op(e3,e3),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e3)) )],[refute_14_348,refute_14_1]) ).
cnf(refute_14_350,plain,
( op(e3,e3) != e0
| e0 = op(e3,e3) ),
inference(subst,[],[refute_14_12:[bind(X,$fot(op(e3,e3))),bind(Y,$fot(e0))]]) ).
cnf(refute_14_351,plain,
op(e3,e3) != e0,
inference(resolve,[$cnf( $equal(e0,op(e3,e3)) )],[refute_14_350,refute_14_349]) ).
cnf(refute_14_352,plain,
( op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_14_0,refute_14_351]) ).
cnf(refute_14_353,plain,
op(e2,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_14_65]) ).
cnf(refute_14_354,plain,
( op(e2,e1) != e1
| op(e2,e1) = op(e3,e1)
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_14_162,refute_14_168]) ).
cnf(refute_14_355,plain,
( op(e2,e1) != e1
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e3,e1)) )],[refute_14_354,refute_14_5]) ).
cnf(refute_14_356,plain,
( e1 != e1
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_14_231,refute_14_245]) ).
cnf(refute_14_357,plain,
( e1 != e1
| op(e2,e1) = e2
| op(e2,e1) = e4
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_14_356,refute_14_355]) ).
cnf(refute_14_358,plain,
( op(e2,e1) = e2
| op(e2,e1) = e4
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_14_161,refute_14_357]) ).
cnf(refute_14_359,plain,
op(e0,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_14_66]) ).
cnf(refute_14_360,plain,
op(e3,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_14_67]) ).
cnf(refute_14_361,plain,
( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
inference(canonicalize,[],[normalize_14_68]) ).
cnf(refute_14_362,plain,
op(e4,e1) != op(e4,e2),
inference(canonicalize,[],[normalize_14_69]) ).
cnf(refute_14_363,plain,
( op(e4,e1) != e1
| op(e4,e2) != e1
| op(e4,e1) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e1),op(e4,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_14_364,plain,
( op(e4,e1) != e1
| op(e4,e1) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_14_23,refute_14_363]) ).
cnf(refute_14_365,plain,
op(e4,e1) != e1,
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e2)) )],[refute_14_364,refute_14_362]) ).
cnf(refute_14_366,plain,
( op(e4,e1) = e0
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e1) )],[refute_14_361,refute_14_365]) ).
cnf(refute_14_367,plain,
op(e1,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_14_70]) ).
cnf(refute_14_368,plain,
( e0 != op(e4,e1)
| op(e1,e1) != e0
| op(e1,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(op(e4,e1))]]) ).
cnf(refute_14_369,plain,
( e0 != op(e4,e1)
| op(e1,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_14_41,refute_14_368]) ).
cnf(refute_14_370,plain,
e0 != op(e4,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e4,e1)) )],[refute_14_369,refute_14_367]) ).
cnf(refute_14_371,plain,
( op(e4,e1) != e0
| e0 = op(e4,e1) ),
inference(subst,[],[refute_14_12:[bind(X,$fot(op(e4,e1))),bind(Y,$fot(e0))]]) ).
cnf(refute_14_372,plain,
op(e4,e1) != e0,
inference(resolve,[$cnf( $equal(e0,op(e4,e1)) )],[refute_14_371,refute_14_370]) ).
cnf(refute_14_373,plain,
( op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e0) )],[refute_14_366,refute_14_372]) ).
cnf(refute_14_374,plain,
op(e4,e0) != op(e4,e1),
inference(canonicalize,[],[normalize_14_71]) ).
cnf(refute_14_375,plain,
( e4 != op(e4,e1)
| op(e4,e0) != e4
| op(e4,e0) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[1],$fot(op(e4,e1))]]) ).
cnf(refute_14_376,plain,
( e4 != op(e4,e1)
| op(e4,e0) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_14_118,refute_14_375]) ).
cnf(refute_14_377,plain,
e4 != op(e4,e1),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e1)) )],[refute_14_376,refute_14_374]) ).
cnf(refute_14_378,plain,
( op(e4,e1) != e4
| e4 = op(e4,e1) ),
inference(subst,[],[refute_14_12:[bind(X,$fot(op(e4,e1))),bind(Y,$fot(e4))]]) ).
cnf(refute_14_379,plain,
op(e4,e1) != e4,
inference(resolve,[$cnf( $equal(e4,op(e4,e1)) )],[refute_14_378,refute_14_377]) ).
cnf(refute_14_380,plain,
( op(e4,e1) = e2
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_14_373,refute_14_379]) ).
cnf(refute_14_381,plain,
( op(e3,e1) != e3
| op(e4,e1) != e3
| op(e3,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_14_382,plain,
( op(e3,e1) != e3
| op(e3,e1) = op(e4,e1)
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_14_380,refute_14_381]) ).
cnf(refute_14_383,plain,
( op(e3,e1) != e3
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e4,e1)) )],[refute_14_382,refute_14_360]) ).
cnf(refute_14_384,plain,
( e3 != e3
| op(e3,e1) != e3
| op(e3,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e3) ),[0,0],$fot(e3)]]) ).
cnf(refute_14_385,plain,
( e3 != e3
| op(e3,e1) = e1
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_14_162,refute_14_384]) ).
cnf(refute_14_386,plain,
( e3 != e3
| op(e3,e1) = e1
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_14_385,refute_14_383]) ).
cnf(refute_14_387,plain,
( op(e3,e1) = e1
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_14_166,refute_14_386]) ).
cnf(refute_14_388,plain,
( op(e0,e1) != e2
| op(e4,e1) != e2
| op(e0,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e4,e1)) ),[1],$fot(e2)]]) ).
cnf(refute_14_389,plain,
( op(e0,e1) != e2
| op(e0,e1) = op(e4,e1)
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_14_387,refute_14_388]) ).
cnf(refute_14_390,plain,
( op(e0,e1) != e2
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e4,e1)) )],[refute_14_389,refute_14_359]) ).
cnf(refute_14_391,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(canonicalize,[],[normalize_14_72]) ).
cnf(refute_14_392,plain,
op(e0,e1) != op(e1,e1),
inference(canonicalize,[],[normalize_14_73]) ).
cnf(refute_14_393,plain,
( op(e0,e1) != e0
| op(e1,e1) != e0
| op(e0,e1) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e1,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_14_394,plain,
( op(e0,e1) != e0
| op(e0,e1) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_14_41,refute_14_393]) ).
cnf(refute_14_395,plain,
op(e0,e1) != e0,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e1,e1)) )],[refute_14_394,refute_14_392]) ).
cnf(refute_14_396,plain,
( op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_14_391,refute_14_395]) ).
cnf(refute_14_397,plain,
op(e0,e1) != op(e0,e4),
inference(canonicalize,[],[normalize_14_74]) ).
cnf(refute_14_398,plain,
( op(e0,e1) != e1
| op(e0,e4) != e1
| op(e0,e1) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e0,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_14_399,plain,
( op(e0,e1) != e1
| op(e0,e1) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_14_337,refute_14_398]) ).
cnf(refute_14_400,plain,
op(e0,e1) != e1,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e4)) )],[refute_14_399,refute_14_397]) ).
cnf(refute_14_401,plain,
( op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_14_396,refute_14_400]) ).
cnf(refute_14_402,plain,
op(e0,e0) != op(e0,e1),
inference(canonicalize,[],[normalize_14_75]) ).
cnf(refute_14_403,plain,
( e3 != op(e0,e1)
| op(e0,e0) != e3
| op(e0,e0) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e0,e1))]]) ).
cnf(refute_14_404,plain,
( e3 != op(e0,e1)
| op(e0,e0) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_14_342,refute_14_403]) ).
cnf(refute_14_405,plain,
e3 != op(e0,e1),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e1)) )],[refute_14_404,refute_14_402]) ).
cnf(refute_14_406,plain,
( op(e0,e1) != e3
| e3 = op(e0,e1) ),
inference(subst,[],[refute_14_12:[bind(X,$fot(op(e0,e1))),bind(Y,$fot(e3))]]) ).
cnf(refute_14_407,plain,
op(e0,e1) != e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e1)) )],[refute_14_406,refute_14_405]) ).
cnf(refute_14_408,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_14_401,refute_14_407]) ).
cnf(refute_14_409,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_14_76]) ).
cnf(refute_14_410,plain,
( op(e0,e1) != e4
| op(e0,e2) != e4
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e0,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_14_411,plain,
( op(e0,e1) != e4
| op(e0,e1) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_14_321,refute_14_410]) ).
cnf(refute_14_412,plain,
op(e0,e1) != e4,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_14_411,refute_14_409]) ).
cnf(refute_14_413,plain,
op(e0,e1) = e2,
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_14_408,refute_14_412]) ).
cnf(refute_14_414,plain,
( e2 != e2
| op(e0,e1) != e2
| op(e0,e1) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(e2)]]) ).
cnf(refute_14_415,plain,
( e2 != e2
| op(e0,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_14_413,refute_14_414]) ).
cnf(refute_14_416,plain,
( e2 != e2
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_14_415,refute_14_390]) ).
cnf(refute_14_417,plain,
op(e3,e1) = e1,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_14_235,refute_14_416]) ).
cnf(refute_14_418,plain,
( op(e3,e1) != e1
| op(e3,e1) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e3) ),[0],$fot(e1)]]) ).
cnf(refute_14_419,plain,
( op(e3,e1) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_14_417,refute_14_418]) ).
cnf(refute_14_420,plain,
( e1 = e3
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_14_358,refute_14_419]) ).
cnf(refute_14_421,plain,
( op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_14_420,refute_14_128]) ).
cnf(refute_14_422,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_14_77]) ).
cnf(refute_14_423,plain,
( e2 != op(e2,e1)
| op(e0,e1) != e2
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_14_424,plain,
( e2 != op(e2,e1)
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_14_413,refute_14_423]) ).
cnf(refute_14_425,plain,
e2 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_14_424,refute_14_422]) ).
cnf(refute_14_426,plain,
( op(e2,e1) != e2
| e2 = op(e2,e1) ),
inference(subst,[],[refute_14_12:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_14_427,plain,
op(e2,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_14_426,refute_14_425]) ).
cnf(refute_14_428,plain,
op(e2,e1) = e4,
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_14_421,refute_14_427]) ).
cnf(refute_14_429,plain,
( op(e2,e1) != e1
| op(e2,e1) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e1) ),[0],$fot(e4)]]) ).
cnf(refute_14_430,plain,
( op(e2,e1) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_14_428,refute_14_429]) ).
cnf(refute_14_431,plain,
( e4 = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_14_281,refute_14_430]) ).
cnf(refute_14_432,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_14_12:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_14_433,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_14_432,refute_14_295]) ).
cnf(refute_14_434,plain,
op(e2,e3) = e1,
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_14_431,refute_14_433]) ).
cnf(refute_14_435,plain,
( e1 != op(e3,e3)
| op(e2,e3) != e1
| op(e2,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e1) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_14_436,plain,
( e1 != op(e3,e3)
| op(e2,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_14_434,refute_14_435]) ).
cnf(refute_14_437,plain,
e1 != op(e3,e3),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e3,e3)) )],[refute_14_436,refute_14_353]) ).
cnf(refute_14_438,plain,
( op(e3,e3) != e1
| e1 = op(e3,e3) ),
inference(subst,[],[refute_14_12:[bind(X,$fot(op(e3,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_14_439,plain,
op(e3,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e3,e3)) )],[refute_14_438,refute_14_437]) ).
cnf(refute_14_440,plain,
( op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_14_352,refute_14_439]) ).
cnf(refute_14_441,plain,
op(e3,e3) != op(e3,e4),
inference(canonicalize,[],[normalize_14_78]) ).
cnf(refute_14_442,plain,
( op(e3,e3) != e2
| op(e3,e4) != e2
| op(e3,e3) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e3),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_14_443,plain,
( op(e3,e3) != e2
| op(e3,e3) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_14_75,refute_14_442]) ).
cnf(refute_14_444,plain,
op(e3,e3) != e2,
inference(resolve,[$cnf( $equal(op(e3,e3),op(e3,e4)) )],[refute_14_443,refute_14_441]) ).
cnf(refute_14_445,plain,
( op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_14_440,refute_14_444]) ).
cnf(refute_14_446,plain,
op(e1,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_14_79]) ).
cnf(refute_14_447,plain,
op(e2,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_14_80]) ).
cnf(refute_14_448,plain,
op(e2,e0) != op(e2,e2),
inference(canonicalize,[],[normalize_14_81]) ).
cnf(refute_14_449,plain,
( op(e2,e2) != e0
| op(e2,e0) = e2 ),
inference(canonicalize,[],[normalize_14_82]) ).
cnf(refute_14_450,plain,
( e0 != e0
| op(e2,e2) = e0
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_14_215,refute_14_237]) ).
cnf(refute_14_451,plain,
( e0 != e0
| op(e2,e0) = e2
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_14_450,refute_14_449]) ).
cnf(refute_14_452,plain,
( op(e2,e0) = e2
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_14_45,refute_14_451]) ).
cnf(refute_14_453,plain,
op(e0,e3) != op(e2,e3),
inference(canonicalize,[],[normalize_14_83]) ).
cnf(refute_14_454,plain,
( op(e0,e3) != e0
| op(e2,e3) != e0
| op(e0,e3) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e2,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_14_455,plain,
( op(e0,e3) != e0
| op(e0,e3) = op(e2,e3)
| op(e2,e0) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_14_266,refute_14_454]) ).
cnf(refute_14_456,plain,
( op(e0,e3) != e0
| op(e2,e0) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e2,e3)) )],[refute_14_455,refute_14_453]) ).
cnf(refute_14_457,plain,
( e0 != e0
| op(e0,e3) != e0
| op(e0,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_14_458,plain,
( e0 != e0
| op(e0,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_14_346,refute_14_457]) ).
cnf(refute_14_459,plain,
( e0 != e0
| op(e2,e0) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_14_458,refute_14_456]) ).
cnf(refute_14_460,plain,
( op(e2,e0) = e0
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_14_45,refute_14_459]) ).
cnf(refute_14_461,plain,
( op(e2,e2) != e0
| op(e2,e2) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e2) ),[0],$fot(e0)]]) ).
cnf(refute_14_462,plain,
( op(e2,e2) != e2
| e0 = e2
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_14_460,refute_14_461]) ).
cnf(refute_14_463,plain,
( e0 = e2
| op(e2,e0) = e0
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_14_452,refute_14_462]) ).
cnf(refute_14_464,plain,
e0 != e2,
inference(canonicalize,[],[normalize_14_84]) ).
cnf(refute_14_465,plain,
( op(e2,e0) = e0
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_14_463,refute_14_464]) ).
cnf(refute_14_466,plain,
( e2 != op(e2,e2)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e2))]]) ).
cnf(refute_14_467,plain,
( e2 != op(e2,e2)
| op(e2,e0) = e0
| op(e2,e0) = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_14_465,refute_14_466]) ).
cnf(refute_14_468,plain,
( e2 != op(e2,e2)
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e2)) )],[refute_14_467,refute_14_448]) ).
cnf(refute_14_469,plain,
op(e3,e1) != op(e3,e2),
inference(canonicalize,[],[normalize_14_85]) ).
cnf(refute_14_470,plain,
( e0 != op(e3,e2)
| op(e2,e2) != e0
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_14_471,plain,
( e0 != op(e3,e2)
| op(e2,e2) = e2
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_14_215,refute_14_470]) ).
cnf(refute_14_472,plain,
( e0 != op(e3,e2)
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_14_471,refute_14_175]) ).
cnf(refute_14_473,plain,
( e0 != e0
| op(e3,e2) != e0
| e0 = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e3,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_14_474,plain,
( e0 != e0
| e0 = op(e3,e2)
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_14_191,refute_14_473]) ).
cnf(refute_14_475,plain,
( e0 != e0
| op(e2,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e0,op(e3,e2)) )],[refute_14_474,refute_14_472]) ).
cnf(refute_14_476,plain,
( op(e2,e2) = e2
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_14_45,refute_14_475]) ).
cnf(refute_14_477,plain,
( op(e3,e1) != e3
| op(e3,e2) != e3
| op(e3,e1) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_14_478,plain,
( op(e3,e1) != e3
| op(e2,e2) = e2
| op(e3,e1) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_14_476,refute_14_477]) ).
cnf(refute_14_479,plain,
( op(e3,e1) != e3
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e2)) )],[refute_14_478,refute_14_469]) ).
cnf(refute_14_480,plain,
( e3 != e3
| op(e2,e2) = e2
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_14_385,refute_14_479]) ).
cnf(refute_14_481,plain,
( op(e2,e2) = e2
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_14_166,refute_14_480]) ).
cnf(refute_14_482,plain,
op(e3,e2) != op(e3,e3),
inference(canonicalize,[],[normalize_14_86]) ).
cnf(refute_14_483,plain,
( e3 != op(e3,e3)
| op(e3,e2) != e3
| op(e3,e2) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),e3) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_14_484,plain,
( e3 != op(e3,e3)
| op(e2,e2) = e2
| op(e3,e2) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_14_476,refute_14_483]) ).
cnf(refute_14_485,plain,
( e3 != op(e3,e3)
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e2),op(e3,e3)) )],[refute_14_484,refute_14_482]) ).
cnf(refute_14_486,plain,
op(e4,e1) != op(e4,e3),
inference(canonicalize,[],[normalize_14_87]) ).
cnf(refute_14_487,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(canonicalize,[],[normalize_14_88]) ).
cnf(refute_14_488,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_14_487,refute_14_223]) ).
cnf(refute_14_489,plain,
( op(e1,e1) != e0
| op(e1,e1) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e3) ),[0],$fot(e0)]]) ).
cnf(refute_14_490,plain,
( op(e1,e1) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_14_41,refute_14_489]) ).
cnf(refute_14_491,plain,
( e0 = e3
| op(e0,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_14_488,refute_14_490]) ).
cnf(refute_14_492,plain,
( op(e0,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_14_491,refute_14_262]) ).
cnf(refute_14_493,plain,
( e3 != op(e4,e3)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_14_494,plain,
( e3 != op(e4,e3)
| op(e0,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_14_492,refute_14_493]) ).
cnf(refute_14_495,plain,
( e3 != op(e4,e3)
| op(e0,e1) = e3
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e3)) )],[refute_14_494,refute_14_486]) ).
cnf(refute_14_496,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 ),
inference(canonicalize,[],[normalize_14_89]) ).
cnf(refute_14_497,plain,
op(e2,e3) != op(e2,e4),
inference(canonicalize,[],[normalize_14_90]) ).
cnf(refute_14_498,plain,
( op(e2,e3) != e3
| op(e2,e4) != e3
| op(e2,e3) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e3),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_14_499,plain,
( op(e2,e3) != e3
| op(e2,e3) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_14_14,refute_14_498]) ).
cnf(refute_14_500,plain,
op(e2,e3) != e3,
inference(resolve,[$cnf( $equal(op(e2,e3),op(e2,e4)) )],[refute_14_499,refute_14_497]) ).
cnf(refute_14_501,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e3) )],[refute_14_496,refute_14_500]) ).
cnf(refute_14_502,plain,
( op(e0,e3) != e0
| op(e0,e3) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[0],$fot(e0)]]) ).
cnf(refute_14_503,plain,
( op(e0,e3) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_14_346,refute_14_502]) ).
cnf(refute_14_504,plain,
( e0 = e3
| op(e1,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_14_501,refute_14_503]) ).
cnf(refute_14_505,plain,
( op(e1,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_14_504,refute_14_262]) ).
cnf(refute_14_506,plain,
( e3 != e3
| op(e4,e3) != e3
| e3 = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e4,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_14_507,plain,
( e3 != e3
| e3 = op(e4,e3)
| op(e1,e3) = e3
| op(e3,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_14_505,refute_14_506]) ).
cnf(refute_14_508,plain,
( e3 != e3
| op(e0,e1) = e3
| op(e1,e3) = e3
| op(e3,e1) = e3
| op(e3,e3) = e3 ),
inference(resolve,[$cnf( $equal(e3,op(e4,e3)) )],[refute_14_507,refute_14_495]) ).
cnf(refute_14_509,plain,
( op(e0,e1) = e3
| op(e1,e3) = e3
| op(e3,e1) = e3
| op(e3,e3) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_14_166,refute_14_508]) ).
cnf(refute_14_510,plain,
( op(e1,e3) = e3
| op(e3,e1) = e3
| op(e3,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_14_509,refute_14_407]) ).
cnf(refute_14_511,plain,
( e3 != e3
| op(e3,e3) != e3
| e3 = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e3,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_14_512,plain,
( e3 != e3
| e3 = op(e3,e3)
| op(e1,e3) = e3
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e3) )],[refute_14_510,refute_14_511]) ).
cnf(refute_14_513,plain,
( e3 != e3
| op(e1,e3) = e3
| op(e2,e2) = e2
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(e3,op(e3,e3)) )],[refute_14_512,refute_14_485]) ).
cnf(refute_14_514,plain,
( op(e1,e3) = e3
| op(e2,e2) = e2
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_14_166,refute_14_513]) ).
cnf(refute_14_515,plain,
( op(e3,e1) != e1
| op(e3,e1) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e1) ),[0],$fot(e3)]]) ).
cnf(refute_14_516,plain,
( op(e3,e1) != e1
| e3 = e1
| op(e1,e3) = e3
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_14_514,refute_14_515]) ).
cnf(refute_14_517,plain,
( e3 = e1
| op(e1,e3) = e3
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_14_481,refute_14_516]) ).
cnf(refute_14_518,plain,
( op(e1,e3) = e3
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_14_517,refute_14_272]) ).
cnf(refute_14_519,plain,
( e2 != e2
| op(e2,e2) != e2
| e2 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e2,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_14_520,plain,
( e2 != e2
| e2 = op(e2,e2)
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_14_518,refute_14_519]) ).
cnf(refute_14_521,plain,
( e2 != e2
| op(e1,e3) = e3
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(e2,op(e2,e2)) )],[refute_14_520,refute_14_468]) ).
cnf(refute_14_522,plain,
( op(e1,e3) = e3
| op(e2,e0) = e0 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_14_235,refute_14_521]) ).
cnf(refute_14_523,plain,
( e0 != op(e3,e0)
| op(e2,e0) != e0
| op(e2,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e0) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_14_524,plain,
( e0 != op(e3,e0)
| op(e1,e3) = e3
| op(e2,e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_14_522,refute_14_523]) ).
cnf(refute_14_525,plain,
( e0 != op(e3,e0)
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e3,e0)) )],[refute_14_524,refute_14_447]) ).
cnf(refute_14_526,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(canonicalize,[],[normalize_14_91]) ).
cnf(refute_14_527,plain,
( op(e3,e0) = e0
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e1) )],[refute_14_526,refute_14_156]) ).
cnf(refute_14_528,plain,
op(e3,e0) != op(e3,e4),
inference(canonicalize,[],[normalize_14_92]) ).
cnf(refute_14_529,plain,
( op(e3,e0) != e2
| op(e3,e4) != e2
| op(e3,e0) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e3,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_14_530,plain,
( op(e3,e0) != e2
| op(e3,e0) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_14_75,refute_14_529]) ).
cnf(refute_14_531,plain,
op(e3,e0) != e2,
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e4)) )],[refute_14_530,refute_14_528]) ).
cnf(refute_14_532,plain,
( op(e3,e0) = e0
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e2) )],[refute_14_527,refute_14_531]) ).
cnf(refute_14_533,plain,
op(e0,e0) != op(e3,e0),
inference(canonicalize,[],[normalize_14_93]) ).
cnf(refute_14_534,plain,
( e3 != op(e3,e0)
| op(e0,e0) != e3
| op(e0,e0) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e3) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_14_535,plain,
( e3 != op(e3,e0)
| op(e0,e0) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_14_342,refute_14_534]) ).
cnf(refute_14_536,plain,
e3 != op(e3,e0),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e3,e0)) )],[refute_14_535,refute_14_533]) ).
cnf(refute_14_537,plain,
( op(e3,e0) != e3
| e3 = op(e3,e0) ),
inference(subst,[],[refute_14_12:[bind(X,$fot(op(e3,e0))),bind(Y,$fot(e3))]]) ).
cnf(refute_14_538,plain,
op(e3,e0) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e0)) )],[refute_14_537,refute_14_536]) ).
cnf(refute_14_539,plain,
( op(e3,e0) = e0
| op(e3,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_14_532,refute_14_538]) ).
cnf(refute_14_540,plain,
op(e3,e0) != op(e4,e0),
inference(canonicalize,[],[normalize_14_94]) ).
cnf(refute_14_541,plain,
( op(e3,e0) != e4
| op(e4,e0) != e4
| op(e3,e0) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e0),op(e4,e0)) ),[1],$fot(e4)]]) ).
cnf(refute_14_542,plain,
( op(e3,e0) != e4
| op(e3,e0) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_14_118,refute_14_541]) ).
cnf(refute_14_543,plain,
op(e3,e0) != e4,
inference(resolve,[$cnf( $equal(op(e3,e0),op(e4,e0)) )],[refute_14_542,refute_14_540]) ).
cnf(refute_14_544,plain,
op(e3,e0) = e0,
inference(resolve,[$cnf( $equal(op(e3,e0),e4) )],[refute_14_539,refute_14_543]) ).
cnf(refute_14_545,plain,
( e0 != e0
| op(e3,e0) != e0
| e0 = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e3,e0)) ),[1],$fot(e0)]]) ).
cnf(refute_14_546,plain,
( e0 != e0
| e0 = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e0) )],[refute_14_544,refute_14_545]) ).
cnf(refute_14_547,plain,
( e0 != e0
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(e0,op(e3,e0)) )],[refute_14_546,refute_14_525]) ).
cnf(refute_14_548,plain,
op(e1,e3) = e3,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_14_45,refute_14_547]) ).
cnf(refute_14_549,plain,
( e3 != op(e3,e3)
| op(e1,e3) != e3
| op(e1,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e3) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_14_550,plain,
( e3 != op(e3,e3)
| op(e1,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_14_548,refute_14_549]) ).
cnf(refute_14_551,plain,
e3 != op(e3,e3),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e3,e3)) )],[refute_14_550,refute_14_446]) ).
cnf(refute_14_552,plain,
( op(e3,e3) != e3
| e3 = op(e3,e3) ),
inference(subst,[],[refute_14_12:[bind(X,$fot(op(e3,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_14_553,plain,
op(e3,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e3)) )],[refute_14_552,refute_14_551]) ).
cnf(refute_14_554,plain,
op(e3,e3) = e4,
inference(resolve,[$cnf( $equal(op(e3,e3),e3) )],[refute_14_445,refute_14_553]) ).
cnf(refute_14_555,plain,
( op(e3,e3) != e4
| op(e3,e4) = e3 ),
inference(canonicalize,[],[normalize_14_95]) ).
cnf(refute_14_556,plain,
( op(e3,e4) != e2
| op(e3,e4) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e3) ),[0],$fot(e2)]]) ).
cnf(refute_14_557,plain,
( op(e3,e4) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e2) )],[refute_14_75,refute_14_556]) ).
cnf(refute_14_558,plain,
( op(e3,e3) != e4
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e3) )],[refute_14_555,refute_14_557]) ).
cnf(refute_14_559,plain,
op(e3,e3) != e4,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_14_558,refute_14_211]) ).
cnf(refute_14_560,plain,
$false,
inference(resolve,[$cnf( $equal(op(e3,e3),e4) )],[refute_14_554,refute_14_559]) ).
fof(negate_15_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3 )
=> op(op(e3,e0),e3) = e0 ),
inference(negate,[],[subgoal_15]) ).
fof(normalize_15_0,plain,
( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 ) ),
inference(canonicalize,[],[negate_15_0]) ).
fof(normalize_15_1,plain,
op(e0,e3) != op(e3,e0),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_2,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_15_3,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_4,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_5,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_6,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_7,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_8,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_15_2]) ).
fof(normalize_15_9,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_15_10,plain,
op(e2,e4) != op(e3,e4),
inference(conjunct,[],[normalize_15_9]) ).
fof(normalize_15_11,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_15_12,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_13,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_15_0]) ).
fof(normalize_15_14,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_15,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_16,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_15_17,plain,
e0 != e1,
inference(conjunct,[],[normalize_15_16]) ).
fof(normalize_15_18,plain,
e3 != e4,
inference(conjunct,[],[normalize_15_16]) ).
fof(normalize_15_19,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_15_9]) ).
cnf(refute_15_0,plain,
op(e0,e3) != op(e3,e0),
inference(canonicalize,[],[normalize_15_1]) ).
cnf(refute_15_1,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_15_3]) ).
cnf(refute_15_2,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_15_4]) ).
cnf(refute_15_3,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_15_5]) ).
cnf(refute_15_4,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_15_6]) ).
cnf(refute_15_5,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_15_7]) ).
cnf(refute_15_6,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_15_8]) ).
cnf(refute_15_7,plain,
( op(e3,unit) != e3
| unit != e4
| op(e3,e4) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e4)]]) ).
cnf(refute_15_8,plain,
( op(e3,unit) != e3
| op(e3,e4) = e3
| unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_15_6,refute_15_7]) ).
cnf(refute_15_9,plain,
( op(e3,e4) = e3
| unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_15_5,refute_15_8]) ).
cnf(refute_15_10,plain,
op(e2,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_15_10]) ).
cnf(refute_15_11,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_15_12]) ).
cnf(refute_15_12,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_15_13,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_15_14,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_15_12,refute_15_13]) ).
cnf(refute_15_15,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_15_14:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_15_16,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_15_11,refute_15_15]) ).
cnf(refute_15_17,plain,
( e3 != op(e3,e4)
| op(e2,e4) != e3
| op(e2,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e3) ),[1],$fot(op(e3,e4))]]) ).
cnf(refute_15_18,plain,
( e3 != op(e3,e4)
| op(e2,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_15_16,refute_15_17]) ).
cnf(refute_15_19,plain,
e3 != op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e3,e4)) )],[refute_15_18,refute_15_10]) ).
cnf(refute_15_20,plain,
( op(e3,e4) != e3
| e3 = op(e3,e4) ),
inference(subst,[],[refute_15_14:[bind(X,$fot(op(e3,e4))),bind(Y,$fot(e3))]]) ).
cnf(refute_15_21,plain,
op(e3,e4) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e4)) )],[refute_15_20,refute_15_19]) ).
cnf(refute_15_22,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e3) )],[refute_15_9,refute_15_21]) ).
cnf(refute_15_23,plain,
( op(unit,e0) != e0
| unit != e1
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_15_24,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_15_22,refute_15_23]) ).
cnf(refute_15_25,plain,
( op(e1,e0) = e0
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_15_4,refute_15_24]) ).
cnf(refute_15_26,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_15_13]) ).
cnf(refute_15_27,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_15_14]) ).
cnf(refute_15_28,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_15_15]) ).
cnf(refute_15_29,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_15_14:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_15_30,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_15_28,refute_15_29]) ).
cnf(refute_15_31,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_15_32,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_15_33,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_15_31,refute_15_32]) ).
cnf(refute_15_34,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_15_30,refute_15_33]) ).
cnf(refute_15_35,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_15_36,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_15_37,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_15_35,refute_15_36]) ).
cnf(refute_15_38,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_15_30,refute_15_37]) ).
cnf(refute_15_39,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_15_40,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_15_14,refute_15_39]) ).
cnf(refute_15_41,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_15_40:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_15_42,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_15_38,refute_15_41]) ).
cnf(refute_15_43,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_15_34,refute_15_42]) ).
cnf(refute_15_44,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_15_45,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_15_43,refute_15_44]) ).
cnf(refute_15_46,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_15_27,refute_15_45]) ).
cnf(refute_15_47,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_15_14:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_15_48,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_15_46,refute_15_47]) ).
cnf(refute_15_49,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_15_50,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_15_48,refute_15_49]) ).
cnf(refute_15_51,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_15_50,refute_15_26]) ).
cnf(refute_15_52,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_15_53,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_15_52,refute_15_51]) ).
cnf(refute_15_54,plain,
( op(e1,e0) != e0
| op(e1,e0) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[0],$fot(e1)]]) ).
cnf(refute_15_55,plain,
( op(e1,e0) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_15_53,refute_15_54]) ).
cnf(refute_15_56,plain,
( e1 = e0
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_15_25,refute_15_55]) ).
cnf(refute_15_57,plain,
e0 != e1,
inference(canonicalize,[],[normalize_15_17]) ).
cnf(refute_15_58,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_15_14:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_15_59,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_15_58,refute_15_57]) ).
cnf(refute_15_60,plain,
( unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_15_56,refute_15_59]) ).
cnf(refute_15_61,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_15_62,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_15_60,refute_15_61]) ).
cnf(refute_15_63,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_15_3,refute_15_62]) ).
cnf(refute_15_64,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_15_65,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_15_16,refute_15_64]) ).
cnf(refute_15_66,plain,
( e3 = e4
| unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_15_63,refute_15_65]) ).
cnf(refute_15_67,plain,
e3 != e4,
inference(canonicalize,[],[normalize_15_18]) ).
cnf(refute_15_68,plain,
( unit = e0
| unit = e3 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_15_66,refute_15_67]) ).
cnf(refute_15_69,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_15_70,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_15_68,refute_15_69]) ).
cnf(refute_15_71,plain,
( op(e1,e3) = e1
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_15_2,refute_15_70]) ).
cnf(refute_15_72,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_15_19]) ).
cnf(refute_15_73,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_15_74,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_15_53,refute_15_73]) ).
cnf(refute_15_75,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_15_74,refute_15_72]) ).
cnf(refute_15_76,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_15_14:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_15_77,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_15_76,refute_15_75]) ).
cnf(refute_15_78,plain,
unit = e0,
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_15_71,refute_15_77]) ).
cnf(refute_15_79,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_15_80,plain,
( op(unit,e3) != op(unit,e3)
| unit != e0
| op(unit,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_15_81,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_15_79,refute_15_80]) ).
cnf(refute_15_82,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_15_78,refute_15_81]) ).
cnf(refute_15_83,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_15_84,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_15_82,refute_15_83]) ).
cnf(refute_15_85,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_15_1,refute_15_84]) ).
cnf(refute_15_86,plain,
( e3 != op(e3,e0)
| op(e0,e3) != e3
| op(e0,e3) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[1],$fot(op(e3,e0))]]) ).
cnf(refute_15_87,plain,
( e3 != op(e3,e0)
| op(e0,e3) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_15_85,refute_15_86]) ).
cnf(refute_15_88,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_15_89,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_15_90,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_15_88,refute_15_89]) ).
cnf(refute_15_91,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_15_78,refute_15_90]) ).
cnf(refute_15_92,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_15_93,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_15_91,refute_15_92]) ).
cnf(refute_15_94,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_15_5,refute_15_93]) ).
cnf(refute_15_95,plain,
( e3 != e3
| op(e3,e0) != e3
| e3 = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e3,e0)) ),[1],$fot(e3)]]) ).
cnf(refute_15_96,plain,
( e3 != e3
| e3 = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_15_94,refute_15_95]) ).
cnf(refute_15_97,plain,
( e3 != e3
| op(e0,e3) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(e3,op(e3,e0)) )],[refute_15_96,refute_15_87]) ).
cnf(refute_15_98,plain,
e3 != e3,
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e0)) )],[refute_15_97,refute_15_0]) ).
cnf(refute_15_99,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_15_100,plain,
$false,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_15_99,refute_15_98]) ).
fof(negate_16_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3 )
=> op(op(e3,e1),e3) = e1 ),
inference(negate,[],[subgoal_16]) ).
fof(normalize_16_0,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_16_1,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_2,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_16_3,plain,
op(e2,e1) != op(e2,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_4,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_16_5,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_16_4]) ).
fof(normalize_16_6,plain,
op(e1,e1) != op(e2,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_7,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_16_4]) ).
fof(normalize_16_8,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_16_4]) ).
fof(normalize_16_9,plain,
op(e0,e1) != op(e2,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_10,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_16_11,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_16_10]) ).
fof(normalize_16_12,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_16_10]) ).
fof(normalize_16_13,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_16_10]) ).
fof(normalize_16_14,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_16_10]) ).
fof(normalize_16_15,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_16_10]) ).
fof(normalize_16_16,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_16_10]) ).
fof(normalize_16_17,plain,
op(e0,e1) != op(e1,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_18,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_16_19,plain,
e1 != e4,
inference(conjunct,[],[normalize_16_18]) ).
fof(normalize_16_20,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_21,plain,
( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 ) ),
inference(canonicalize,[],[negate_16_0]) ).
fof(normalize_16_22,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_16_21]) ).
fof(normalize_16_23,plain,
e1 != e2,
inference(conjunct,[],[normalize_16_18]) ).
fof(normalize_16_24,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_25,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_16_10]) ).
fof(normalize_16_26,plain,
op(op(e3,e1),e1) = e3,
inference(conjunct,[],[normalize_16_21]) ).
fof(normalize_16_27,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_28,plain,
op(e1,e1) != op(e3,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_29,plain,
op(e3,e1) != op(e3,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_30,plain,
( ( 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(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = 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(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = 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(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_16_31,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_16_30]) ).
fof(normalize_16_32,plain,
e1 != e3,
inference(conjunct,[],[normalize_16_18]) ).
fof(normalize_16_33,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_34,plain,
op(e1,e0) != op(e1,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_35,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_16_10]) ).
fof(normalize_16_36,plain,
op(e3,e1) != op(e4,e1),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_37,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_16_30]) ).
fof(normalize_16_38,plain,
op(e2,e4) != op(e4,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_39,plain,
e3 != e4,
inference(conjunct,[],[normalize_16_18]) ).
fof(normalize_16_40,plain,
op(e0,e3) != op(e4,e3),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_41,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_16_10]) ).
fof(normalize_16_42,plain,
op(e3,e1) != op(e3,e2),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_43,plain,
op(e2,e2) != op(e3,e2),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_44,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 ),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_45,plain,
op(e2,e2) != op(e4,e2),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_46,plain,
op(e2,e2) != op(e2,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_47,plain,
( op(e2,e2) != e4
| op(e2,e4) = e2 ),
inference(conjunct,[],[normalize_16_21]) ).
fof(normalize_16_48,plain,
e2 != e3,
inference(conjunct,[],[normalize_16_18]) ).
fof(normalize_16_49,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_50,plain,
op(e3,e2) != op(e4,e2),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_51,plain,
op(e2,e0) != op(e2,e2),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_52,plain,
e0 != e2,
inference(conjunct,[],[normalize_16_18]) ).
fof(normalize_16_53,plain,
op(e0,e2) != op(e3,e2),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_54,plain,
op(e1,e2) != op(e3,e2),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_55,plain,
op(e0,e3) != op(e1,e3),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_56,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(conjunct,[],[normalize_16_30]) ).
fof(normalize_16_57,plain,
op(e1,e4) != op(e2,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_58,plain,
e0 != e3,
inference(conjunct,[],[normalize_16_18]) ).
fof(normalize_16_59,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(conjunct,[],[normalize_16_0]) ).
fof(normalize_16_60,plain,
op(e4,e2) != op(e4,e3),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_61,plain,
op(e4,e3) != op(e4,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_62,plain,
( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
inference(conjunct,[],[normalize_16_30]) ).
fof(normalize_16_63,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_64,plain,
e0 != e1,
inference(conjunct,[],[normalize_16_18]) ).
fof(normalize_16_65,plain,
e0 != e4,
inference(conjunct,[],[normalize_16_18]) ).
fof(normalize_16_66,plain,
op(e1,e3) != op(e4,e3),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_67,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_68,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(conjunct,[],[normalize_16_30]) ).
fof(normalize_16_69,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(conjunct,[],[normalize_16_30]) ).
fof(normalize_16_70,plain,
op(e1,e1) != op(e1,e3),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_71,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_16_2]) ).
fof(normalize_16_72,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(conjunct,[],[normalize_16_30]) ).
fof(normalize_16_73,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(conjunct,[],[normalize_16_30]) ).
fof(normalize_16_74,plain,
op(e1,e0) != op(e2,e0),
inference(conjunct,[],[normalize_16_2]) ).
cnf(refute_16_0,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(canonicalize,[],[normalize_16_1]) ).
cnf(refute_16_1,plain,
op(e2,e1) != op(e2,e4),
inference(canonicalize,[],[normalize_16_3]) ).
cnf(refute_16_2,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_16_5]) ).
cnf(refute_16_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_16_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_16_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_16_3,refute_16_4]) ).
cnf(refute_16_6,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_16_7,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_16_2,refute_16_6]) ).
cnf(refute_16_8,plain,
( op(e2,e1) != e3
| op(e2,e4) != e3
| op(e2,e1) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_16_9,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_16_7,refute_16_8]) ).
cnf(refute_16_10,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e4)) )],[refute_16_9,refute_16_1]) ).
cnf(refute_16_11,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_16_0,refute_16_10]) ).
cnf(refute_16_12,plain,
op(e1,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_16_6]) ).
cnf(refute_16_13,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_16_7]) ).
cnf(refute_16_14,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_16_8]) ).
cnf(refute_16_15,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_16_16,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_16_14,refute_16_15]) ).
cnf(refute_16_17,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_16_18,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_16_19,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_16_17,refute_16_18]) ).
cnf(refute_16_20,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_16_16,refute_16_19]) ).
cnf(refute_16_21,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_16_22,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_16_23,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_16_21,refute_16_22]) ).
cnf(refute_16_24,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_16_16,refute_16_23]) ).
cnf(refute_16_25,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_16_26,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_16_5,refute_16_25]) ).
cnf(refute_16_27,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_16_26:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_16_28,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_16_24,refute_16_27]) ).
cnf(refute_16_29,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_16_20,refute_16_28]) ).
cnf(refute_16_30,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_16_31,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_16_29,refute_16_30]) ).
cnf(refute_16_32,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_16_13,refute_16_31]) ).
cnf(refute_16_33,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_16_34,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_16_32,refute_16_33]) ).
cnf(refute_16_35,plain,
( e0 != op(e2,e1)
| op(e1,e1) != e0
| op(e1,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_16_36,plain,
( e0 != op(e2,e1)
| op(e1,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_16_34,refute_16_35]) ).
cnf(refute_16_37,plain,
e0 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e2,e1)) )],[refute_16_36,refute_16_12]) ).
cnf(refute_16_38,plain,
( op(e2,e1) != e0
| e0 = op(e2,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e0))]]) ).
cnf(refute_16_39,plain,
op(e2,e1) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e1)) )],[refute_16_38,refute_16_37]) ).
cnf(refute_16_40,plain,
( op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_16_11,refute_16_39]) ).
cnf(refute_16_41,plain,
op(e0,e1) != op(e2,e1),
inference(canonicalize,[],[normalize_16_9]) ).
cnf(refute_16_42,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_16_11]) ).
cnf(refute_16_43,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_16_12]) ).
cnf(refute_16_44,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_16_13]) ).
cnf(refute_16_45,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_16_14]) ).
cnf(refute_16_46,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_16_15]) ).
cnf(refute_16_47,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_16_16]) ).
cnf(refute_16_48,plain,
( op(e0,unit) != e0
| unit != e1
| op(e0,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0,1],$fot(e1)]]) ).
cnf(refute_16_49,plain,
( op(e0,unit) != e0
| op(e0,e1) = e0
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_16_47,refute_16_48]) ).
cnf(refute_16_50,plain,
( op(e0,e1) = e0
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_16_46,refute_16_49]) ).
cnf(refute_16_51,plain,
op(e0,e1) != op(e1,e1),
inference(canonicalize,[],[normalize_16_17]) ).
cnf(refute_16_52,plain,
( op(e0,e1) != e0
| op(e1,e1) != e0
| op(e0,e1) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e1,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_16_53,plain,
( op(e0,e1) != e0
| op(e0,e1) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_16_34,refute_16_52]) ).
cnf(refute_16_54,plain,
op(e0,e1) != e0,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e1,e1)) )],[refute_16_53,refute_16_51]) ).
cnf(refute_16_55,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_16_50,refute_16_54]) ).
cnf(refute_16_56,plain,
( op(e4,unit) != e4
| unit != e2
| op(e4,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e2)]]) ).
cnf(refute_16_57,plain,
( op(e4,unit) != e4
| op(e4,e2) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_16_55,refute_16_56]) ).
cnf(refute_16_58,plain,
( op(e4,e2) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_16_45,refute_16_57]) ).
cnf(refute_16_59,plain,
( op(e4,e2) != e1
| op(e4,e2) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e4) ),[0],$fot(e1)]]) ).
cnf(refute_16_60,plain,
( op(e4,e2) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_16_16,refute_16_59]) ).
cnf(refute_16_61,plain,
( e1 = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_16_58,refute_16_60]) ).
cnf(refute_16_62,plain,
e1 != e4,
inference(canonicalize,[],[normalize_16_19]) ).
cnf(refute_16_63,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_16_61,refute_16_62]) ).
cnf(refute_16_64,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_16_65,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_16_63,refute_16_64]) ).
cnf(refute_16_66,plain,
( op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_16_44,refute_16_65]) ).
cnf(refute_16_67,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_16_20]) ).
cnf(refute_16_68,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_16_22]) ).
cnf(refute_16_69,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_16_70,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_16_34,refute_16_69]) ).
cnf(refute_16_71,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_16_70,refute_16_68]) ).
cnf(refute_16_72,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_16_73,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_16_72,refute_16_71]) ).
cnf(refute_16_74,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_16_75,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_16_73,refute_16_74]) ).
cnf(refute_16_76,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_16_75,refute_16_67]) ).
cnf(refute_16_77,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_16_78,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_16_77,refute_16_76]) ).
cnf(refute_16_79,plain,
( unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_16_66,refute_16_78]) ).
cnf(refute_16_80,plain,
( op(unit,e2) != e2
| unit != e4
| op(e4,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_16_81,plain,
( op(unit,e2) != e2
| op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_16_79,refute_16_80]) ).
cnf(refute_16_82,plain,
( op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_16_43,refute_16_81]) ).
cnf(refute_16_83,plain,
( op(e4,e2) != e1
| op(e4,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_16_84,plain,
( op(e4,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_16_16,refute_16_83]) ).
cnf(refute_16_85,plain,
( e1 = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_16_82,refute_16_84]) ).
cnf(refute_16_86,plain,
e1 != e2,
inference(canonicalize,[],[normalize_16_23]) ).
cnf(refute_16_87,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_16_85,refute_16_86]) ).
cnf(refute_16_88,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_16_89,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_16_90,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_16_88,refute_16_89]) ).
cnf(refute_16_91,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_87,refute_16_90]) ).
cnf(refute_16_92,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_16_93,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_16_91,refute_16_92]) ).
cnf(refute_16_94,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_16_42,refute_16_93]) ).
cnf(refute_16_95,plain,
( e1 != op(e2,e1)
| op(e0,e1) != e1
| op(e0,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e1) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_16_96,plain,
( e1 != op(e2,e1)
| op(e0,e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_16_94,refute_16_95]) ).
cnf(refute_16_97,plain,
e1 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e1)) )],[refute_16_96,refute_16_41]) ).
cnf(refute_16_98,plain,
( op(e2,e1) != e1
| e1 = op(e2,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e1))]]) ).
cnf(refute_16_99,plain,
op(e2,e1) != e1,
inference(resolve,[$cnf( $equal(e1,op(e2,e1)) )],[refute_16_98,refute_16_97]) ).
cnf(refute_16_100,plain,
( op(e2,e1) = e2
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_16_40,refute_16_99]) ).
cnf(refute_16_101,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_16_24]) ).
cnf(refute_16_102,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_16_25]) ).
cnf(refute_16_103,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_16_104,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_16_105,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_16_103,refute_16_104]) ).
cnf(refute_16_106,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_87,refute_16_105]) ).
cnf(refute_16_107,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_16_108,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_16_106,refute_16_107]) ).
cnf(refute_16_109,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_16_102,refute_16_108]) ).
cnf(refute_16_110,plain,
( e2 != op(e2,e1)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_16_111,plain,
( e2 != op(e2,e1)
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_16_109,refute_16_110]) ).
cnf(refute_16_112,plain,
e2 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_16_111,refute_16_101]) ).
cnf(refute_16_113,plain,
( op(e2,e1) != e2
| e2 = op(e2,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_16_114,plain,
op(e2,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_16_113,refute_16_112]) ).
cnf(refute_16_115,plain,
op(e2,e1) = e4,
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_16_100,refute_16_114]) ).
cnf(refute_16_116,plain,
op(op(e3,e1),e1) = e3,
inference(canonicalize,[],[normalize_16_26]) ).
cnf(refute_16_117,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(canonicalize,[],[normalize_16_27]) ).
cnf(refute_16_118,plain,
op(e1,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_16_28]) ).
cnf(refute_16_119,plain,
( e0 != op(e3,e1)
| op(e1,e1) != e0
| op(e1,e1) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_16_120,plain,
( e0 != op(e3,e1)
| op(e1,e1) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_16_34,refute_16_119]) ).
cnf(refute_16_121,plain,
e0 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e3,e1)) )],[refute_16_120,refute_16_118]) ).
cnf(refute_16_122,plain,
( op(e3,e1) != e0
| e0 = op(e3,e1) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e0))]]) ).
cnf(refute_16_123,plain,
op(e3,e1) != e0,
inference(resolve,[$cnf( $equal(e0,op(e3,e1)) )],[refute_16_122,refute_16_121]) ).
cnf(refute_16_124,plain,
( op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e0) )],[refute_16_117,refute_16_123]) ).
cnf(refute_16_125,plain,
op(e3,e1) != op(e3,e4),
inference(canonicalize,[],[normalize_16_29]) ).
cnf(refute_16_126,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_16_31]) ).
cnf(refute_16_127,plain,
( op(e2,e4) != e1
| op(e2,e4) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e1) ),[0],$fot(e3)]]) ).
cnf(refute_16_128,plain,
( op(e2,e4) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_16_7,refute_16_127]) ).
cnf(refute_16_129,plain,
( e3 = e1
| op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_16_126,refute_16_128]) ).
cnf(refute_16_130,plain,
e1 != e3,
inference(canonicalize,[],[normalize_16_32]) ).
cnf(refute_16_131,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_16_132,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_16_131,refute_16_130]) ).
cnf(refute_16_133,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_16_129,refute_16_132]) ).
cnf(refute_16_134,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_16_33]) ).
cnf(refute_16_135,plain,
( e1 != op(e4,e4)
| op(e4,e2) != e1
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e1) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_16_136,plain,
( e1 != op(e4,e4)
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_16_16,refute_16_135]) ).
cnf(refute_16_137,plain,
e1 != op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_16_136,refute_16_134]) ).
cnf(refute_16_138,plain,
( op(e4,e4) != e1
| e1 = op(e4,e4) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(e1))]]) ).
cnf(refute_16_139,plain,
op(e4,e4) != e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_16_138,refute_16_137]) ).
cnf(refute_16_140,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_16_133,refute_16_139]) ).
cnf(refute_16_141,plain,
op(e1,e0) != op(e1,e4),
inference(canonicalize,[],[normalize_16_34]) ).
cnf(refute_16_142,plain,
( e1 != op(e1,e4)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_16_143,plain,
( e1 != op(e1,e4)
| op(e1,e0) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_16_73,refute_16_142]) ).
cnf(refute_16_144,plain,
e1 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e4)) )],[refute_16_143,refute_16_141]) ).
cnf(refute_16_145,plain,
( op(e1,e4) != e1
| e1 = op(e1,e4) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e1))]]) ).
cnf(refute_16_146,plain,
op(e1,e4) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e4)) )],[refute_16_145,refute_16_144]) ).
cnf(refute_16_147,plain,
( op(e0,e4) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_16_140,refute_16_146]) ).
cnf(refute_16_148,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_16_35]) ).
cnf(refute_16_149,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_16_150,plain,
( op(unit,e4) != op(unit,e4)
| unit != e0
| op(unit,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_16_151,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_16_149,refute_16_150]) ).
cnf(refute_16_152,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_87,refute_16_151]) ).
cnf(refute_16_153,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_16_154,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_16_152,refute_16_153]) ).
cnf(refute_16_155,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_16_148,refute_16_154]) ).
cnf(refute_16_156,plain,
( op(e0,e4) != e1
| op(e0,e4) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e1) ),[0],$fot(e4)]]) ).
cnf(refute_16_157,plain,
( op(e0,e4) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_16_155,refute_16_156]) ).
cnf(refute_16_158,plain,
( e4 = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_16_147,refute_16_157]) ).
cnf(refute_16_159,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_16_160,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_16_159,refute_16_62]) ).
cnf(refute_16_161,plain,
op(e3,e4) = e1,
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_16_158,refute_16_160]) ).
cnf(refute_16_162,plain,
( op(e3,e1) != e1
| op(e3,e4) != e1
| op(e3,e1) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_16_163,plain,
( op(e3,e1) != e1
| op(e3,e1) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_16_161,refute_16_162]) ).
cnf(refute_16_164,plain,
op(e3,e1) != e1,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e4)) )],[refute_16_163,refute_16_125]) ).
cnf(refute_16_165,plain,
( op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_16_124,refute_16_164]) ).
cnf(refute_16_166,plain,
op(e3,e1) != op(e4,e1),
inference(canonicalize,[],[normalize_16_36]) ).
cnf(refute_16_167,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_16_37]) ).
cnf(refute_16_168,plain,
( op(e4,e2) != e1
| op(e4,e2) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e3) ),[0],$fot(e1)]]) ).
cnf(refute_16_169,plain,
( op(e4,e2) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_16_16,refute_16_168]) ).
cnf(refute_16_170,plain,
( e1 = e3
| op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_16_167,refute_16_169]) ).
cnf(refute_16_171,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_16_170,refute_16_130]) ).
cnf(refute_16_172,plain,
op(e2,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_16_38]) ).
cnf(refute_16_173,plain,
( e3 != op(e4,e4)
| op(e2,e4) != e3
| op(e2,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e3) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_16_174,plain,
( e3 != op(e4,e4)
| op(e2,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_16_7,refute_16_173]) ).
cnf(refute_16_175,plain,
e3 != op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e4,e4)) )],[refute_16_174,refute_16_172]) ).
cnf(refute_16_176,plain,
( op(e4,e4) != e3
| e3 = op(e4,e4) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(e3))]]) ).
cnf(refute_16_177,plain,
op(e4,e4) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e4)) )],[refute_16_176,refute_16_175]) ).
cnf(refute_16_178,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_16_171,refute_16_177]) ).
cnf(refute_16_179,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_16_180,plain,
( op(e4,unit) != op(e4,unit)
| unit != e0
| op(e4,unit) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_16_181,plain,
( unit != e0
| op(e4,unit) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_16_179,refute_16_180]) ).
cnf(refute_16_182,plain,
op(e4,unit) = op(e4,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_87,refute_16_181]) ).
cnf(refute_16_183,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e0)
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_16_184,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e0)) )],[refute_16_182,refute_16_183]) ).
cnf(refute_16_185,plain,
op(e4,e0) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_16_45,refute_16_184]) ).
cnf(refute_16_186,plain,
( op(e4,e0) != e3
| op(e4,e0) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e3) ),[0],$fot(e4)]]) ).
cnf(refute_16_187,plain,
( op(e4,e0) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_16_185,refute_16_186]) ).
cnf(refute_16_188,plain,
( e4 = e3
| op(e4,e1) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_16_178,refute_16_187]) ).
cnf(refute_16_189,plain,
e3 != e4,
inference(canonicalize,[],[normalize_16_39]) ).
cnf(refute_16_190,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_16_191,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_16_190,refute_16_189]) ).
cnf(refute_16_192,plain,
( op(e4,e1) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_16_188,refute_16_191]) ).
cnf(refute_16_193,plain,
op(e0,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_16_40]) ).
cnf(refute_16_194,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_16_41]) ).
cnf(refute_16_195,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_16_196,plain,
( op(unit,e3) != op(unit,e3)
| unit != e0
| op(unit,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_16_197,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_16_195,refute_16_196]) ).
cnf(refute_16_198,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_87,refute_16_197]) ).
cnf(refute_16_199,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_16_200,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_16_198,refute_16_199]) ).
cnf(refute_16_201,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_16_194,refute_16_200]) ).
cnf(refute_16_202,plain,
( e3 != op(e4,e3)
| op(e0,e3) != e3
| op(e0,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_16_203,plain,
( e3 != op(e4,e3)
| op(e0,e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_16_201,refute_16_202]) ).
cnf(refute_16_204,plain,
e3 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e4,e3)) )],[refute_16_203,refute_16_193]) ).
cnf(refute_16_205,plain,
( op(e4,e3) != e3
| e3 = op(e4,e3) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_16_206,plain,
op(e4,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e3)) )],[refute_16_205,refute_16_204]) ).
cnf(refute_16_207,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_16_192,refute_16_206]) ).
cnf(refute_16_208,plain,
( op(e3,e1) != e3
| op(e4,e1) != e3
| op(e3,e1) = op(e4,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e4,e1)) ),[1],$fot(e3)]]) ).
cnf(refute_16_209,plain,
( op(e3,e1) != e3
| op(e3,e1) = op(e4,e1) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_16_207,refute_16_208]) ).
cnf(refute_16_210,plain,
op(e3,e1) != e3,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e4,e1)) )],[refute_16_209,refute_16_166]) ).
cnf(refute_16_211,plain,
( op(e3,e1) = e2
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_16_165,refute_16_210]) ).
cnf(refute_16_212,plain,
op(e3,e1) != op(e3,e2),
inference(canonicalize,[],[normalize_16_42]) ).
cnf(refute_16_213,plain,
op(e2,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_16_43]) ).
cnf(refute_16_214,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 ),
inference(canonicalize,[],[normalize_16_44]) ).
cnf(refute_16_215,plain,
op(e2,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_16_45]) ).
cnf(refute_16_216,plain,
( op(e2,e2) != e1
| op(e4,e2) != e1
| op(e2,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e2),op(e4,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_16_217,plain,
( op(e2,e2) != e1
| op(e2,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_16_16,refute_16_216]) ).
cnf(refute_16_218,plain,
op(e2,e2) != e1,
inference(resolve,[$cnf( $equal(op(e2,e2),op(e4,e2)) )],[refute_16_217,refute_16_215]) ).
cnf(refute_16_219,plain,
( op(e2,e2) = e0
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_16_214,refute_16_218]) ).
cnf(refute_16_220,plain,
op(e2,e2) != op(e2,e4),
inference(canonicalize,[],[normalize_16_46]) ).
cnf(refute_16_221,plain,
( op(e2,e2) != e3
| op(e2,e4) != e3
| op(e2,e2) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e2),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_16_222,plain,
( op(e2,e2) != e3
| op(e2,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_16_7,refute_16_221]) ).
cnf(refute_16_223,plain,
op(e2,e2) != e3,
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e4)) )],[refute_16_222,refute_16_220]) ).
cnf(refute_16_224,plain,
( op(e2,e2) = e0
| op(e2,e2) = e2
| op(e2,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_16_219,refute_16_223]) ).
cnf(refute_16_225,plain,
( op(e2,e2) != e4
| op(e2,e4) = e2 ),
inference(canonicalize,[],[normalize_16_47]) ).
cnf(refute_16_226,plain,
( op(e2,e4) != e2
| op(e2,e4) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e2) ),[0],$fot(e3)]]) ).
cnf(refute_16_227,plain,
( op(e2,e4) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_16_7,refute_16_226]) ).
cnf(refute_16_228,plain,
( op(e2,e2) != e4
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e2) )],[refute_16_225,refute_16_227]) ).
cnf(refute_16_229,plain,
e2 != e3,
inference(canonicalize,[],[normalize_16_48]) ).
cnf(refute_16_230,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_16_231,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_16_230,refute_16_229]) ).
cnf(refute_16_232,plain,
op(e2,e2) != e4,
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_16_228,refute_16_231]) ).
cnf(refute_16_233,plain,
( op(e2,e2) = e0
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_16_224,refute_16_232]) ).
cnf(refute_16_234,plain,
( e0 != op(e3,e2)
| op(e2,e2) != e0
| op(e2,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_16_235,plain,
( e0 != op(e3,e2)
| op(e2,e2) = e2
| op(e2,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_16_233,refute_16_234]) ).
cnf(refute_16_236,plain,
( e0 != op(e3,e2)
| op(e2,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e3,e2)) )],[refute_16_235,refute_16_213]) ).
cnf(refute_16_237,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(canonicalize,[],[normalize_16_49]) ).
cnf(refute_16_238,plain,
op(e3,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_16_50]) ).
cnf(refute_16_239,plain,
( op(e3,e2) != e1
| op(e4,e2) != e1
| op(e3,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e2),op(e4,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_16_240,plain,
( op(e3,e2) != e1
| op(e3,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_16_16,refute_16_239]) ).
cnf(refute_16_241,plain,
op(e3,e2) != e1,
inference(resolve,[$cnf( $equal(op(e3,e2),op(e4,e2)) )],[refute_16_240,refute_16_238]) ).
cnf(refute_16_242,plain,
( op(e3,e2) = e0
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e1) )],[refute_16_237,refute_16_241]) ).
cnf(refute_16_243,plain,
( e0 != e0
| op(e3,e2) != e0
| e0 = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e3,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_16_244,plain,
( e0 != e0
| e0 = op(e3,e2)
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e0) )],[refute_16_242,refute_16_243]) ).
cnf(refute_16_245,plain,
( e0 != e0
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(e0,op(e3,e2)) )],[refute_16_244,refute_16_236]) ).
cnf(refute_16_246,plain,
( op(e2,e2) = e2
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_16_72,refute_16_245]) ).
cnf(refute_16_247,plain,
op(e2,e0) != op(e2,e2),
inference(canonicalize,[],[normalize_16_51]) ).
cnf(refute_16_248,plain,
( op(e2,e0) != e2
| op(e2,e2) != e2
| op(e2,e0) = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e0),op(e2,e2)) ),[1],$fot(e2)]]) ).
cnf(refute_16_249,plain,
( op(e2,e0) != e2
| op(e2,e0) = op(e2,e2)
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_16_233,refute_16_248]) ).
cnf(refute_16_250,plain,
( op(e2,e0) != e2
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e2)) )],[refute_16_249,refute_16_247]) ).
cnf(refute_16_251,plain,
( e2 != e2
| op(e2,e0) != e2
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[0,0],$fot(e2)]]) ).
cnf(refute_16_252,plain,
( e2 != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_16_109,refute_16_251]) ).
cnf(refute_16_253,plain,
( e2 != e2
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_16_252,refute_16_250]) ).
cnf(refute_16_254,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_16_255,plain,
op(e2,e2) = e0,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_16_254,refute_16_253]) ).
cnf(refute_16_256,plain,
( op(e2,e2) != e0
| op(e2,e2) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e2) ),[0],$fot(e0)]]) ).
cnf(refute_16_257,plain,
( op(e2,e2) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_16_255,refute_16_256]) ).
cnf(refute_16_258,plain,
( e0 = e2
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_16_246,refute_16_257]) ).
cnf(refute_16_259,plain,
e0 != e2,
inference(canonicalize,[],[normalize_16_52]) ).
cnf(refute_16_260,plain,
( op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_16_258,refute_16_259]) ).
cnf(refute_16_261,plain,
op(e0,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_16_53]) ).
cnf(refute_16_262,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_16_263,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_16_264,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_16_262,refute_16_263]) ).
cnf(refute_16_265,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_16_87,refute_16_264]) ).
cnf(refute_16_266,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_16_267,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_16_265,refute_16_266]) ).
cnf(refute_16_268,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_16_43,refute_16_267]) ).
cnf(refute_16_269,plain,
( e2 != op(e3,e2)
| op(e0,e2) != e2
| op(e0,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e2) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_16_270,plain,
( e2 != op(e3,e2)
| op(e0,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_16_268,refute_16_269]) ).
cnf(refute_16_271,plain,
e2 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e3,e2)) )],[refute_16_270,refute_16_261]) ).
cnf(refute_16_272,plain,
( op(e3,e2) != e2
| e2 = op(e3,e2) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e2))]]) ).
cnf(refute_16_273,plain,
op(e3,e2) != e2,
inference(resolve,[$cnf( $equal(e2,op(e3,e2)) )],[refute_16_272,refute_16_271]) ).
cnf(refute_16_274,plain,
( op(e3,e2) = e3
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e2) )],[refute_16_260,refute_16_273]) ).
cnf(refute_16_275,plain,
op(e1,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_16_54]) ).
cnf(refute_16_276,plain,
op(e0,e3) != op(e1,e3),
inference(canonicalize,[],[normalize_16_55]) ).
cnf(refute_16_277,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(canonicalize,[],[normalize_16_56]) ).
cnf(refute_16_278,plain,
op(e1,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_16_57]) ).
cnf(refute_16_279,plain,
( op(e1,e4) != e3
| op(e2,e4) != e3
| op(e1,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_16_280,plain,
( op(e1,e4) != e3
| op(e1,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_16_7,refute_16_279]) ).
cnf(refute_16_281,plain,
op(e1,e4) != e3,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e2,e4)) )],[refute_16_280,refute_16_278]) ).
cnf(refute_16_282,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_16_277,refute_16_281]) ).
cnf(refute_16_283,plain,
( op(e1,e0) != e1
| op(e1,e0) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e3) ),[0],$fot(e1)]]) ).
cnf(refute_16_284,plain,
( op(e1,e0) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_16_73,refute_16_283]) ).
cnf(refute_16_285,plain,
( e1 = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e3) )],[refute_16_282,refute_16_284]) ).
cnf(refute_16_286,plain,
( op(e1,e1) != e0
| op(e1,e1) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e3) ),[0],$fot(e0)]]) ).
cnf(refute_16_287,plain,
( op(e1,e1) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_16_34,refute_16_286]) ).
cnf(refute_16_288,plain,
( e0 = e3
| e1 = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_16_285,refute_16_287]) ).
cnf(refute_16_289,plain,
e0 != e3,
inference(canonicalize,[],[normalize_16_58]) ).
cnf(refute_16_290,plain,
( e1 = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_16_288,refute_16_289]) ).
cnf(refute_16_291,plain,
( op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_16_290,refute_16_130]) ).
cnf(refute_16_292,plain,
( op(e0,e3) != e3
| op(e1,e3) != e3
| op(e0,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e3),op(e1,e3)) ),[1],$fot(e3)]]) ).
cnf(refute_16_293,plain,
( op(e0,e3) != e3
| op(e0,e3) = op(e1,e3)
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_16_291,refute_16_292]) ).
cnf(refute_16_294,plain,
( op(e0,e3) != e3
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e1,e3)) )],[refute_16_293,refute_16_276]) ).
cnf(refute_16_295,plain,
( e3 != e3
| op(e0,e3) != e3
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e3) ),[0,1],$fot(e3)]]) ).
cnf(refute_16_296,plain,
( e3 != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_16_201,refute_16_295]) ).
cnf(refute_16_297,plain,
( e3 != e3
| op(e1,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_16_296,refute_16_294]) ).
cnf(refute_16_298,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_16_299,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_16_298,refute_16_297]) ).
cnf(refute_16_300,plain,
( e3 != op(e3,e2)
| op(e1,e2) != e3
| op(e1,e2) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_16_301,plain,
( e3 != op(e3,e2)
| op(e1,e2) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_16_299,refute_16_300]) ).
cnf(refute_16_302,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e3,e2)) )],[refute_16_301,refute_16_275]) ).
cnf(refute_16_303,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_16_304,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_16_303,refute_16_302]) ).
cnf(refute_16_305,plain,
op(e3,e2) = e4,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_16_274,refute_16_304]) ).
cnf(refute_16_306,plain,
( op(e3,e1) != e4
| op(e3,e2) != e4
| op(e3,e1) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e1),op(e3,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_16_307,plain,
( op(e3,e1) != e4
| op(e3,e1) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_16_305,refute_16_306]) ).
cnf(refute_16_308,plain,
op(e3,e1) != e4,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e2)) )],[refute_16_307,refute_16_212]) ).
cnf(refute_16_309,plain,
op(e3,e1) = e2,
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_16_211,refute_16_308]) ).
cnf(refute_16_310,plain,
op(op(e3,e1),e1) = op(op(e3,e1),e1),
introduced(tautology,[refl,[$fot(op(op(e3,e1),e1))]]) ).
cnf(refute_16_311,plain,
( op(e3,e1) != e2
| op(op(e3,e1),e1) != op(op(e3,e1),e1)
| op(op(e3,e1),e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),e1),op(op(e3,e1),e1)) ),[1,0],$fot(e2)]]) ).
cnf(refute_16_312,plain,
( op(e3,e1) != e2
| op(op(e3,e1),e1) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),op(op(e3,e1),e1)) )],[refute_16_310,refute_16_311]) ).
cnf(refute_16_313,plain,
op(op(e3,e1),e1) = op(e2,e1),
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_16_309,refute_16_312]) ).
cnf(refute_16_314,plain,
( op(e2,e1) != e4
| op(op(e3,e1),e1) != op(e2,e1)
| op(op(e3,e1),e1) = e4 ),
inference(subst,[],[refute_16_26:[bind(X,$fot(op(op(e3,e1),e1))),bind(Y,$fot(op(e2,e1))),bind(Z,$fot(e4))]]) ).
cnf(refute_16_315,plain,
( op(e2,e1) != e4
| op(op(e3,e1),e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),op(e2,e1)) )],[refute_16_313,refute_16_314]) ).
cnf(refute_16_316,plain,
op(op(e3,e1),e1) = e4,
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_16_115,refute_16_315]) ).
cnf(refute_16_317,plain,
( op(op(e3,e1),e1) != e3
| op(op(e3,e1),e1) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e1),e1),e3) ),[0],$fot(e4)]]) ).
cnf(refute_16_318,plain,
( op(op(e3,e1),e1) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),e4) )],[refute_16_316,refute_16_317]) ).
cnf(refute_16_319,plain,
e4 = e3,
inference(resolve,[$cnf( $equal(op(op(e3,e1),e1),e3) )],[refute_16_116,refute_16_318]) ).
cnf(refute_16_320,plain,
( e4 != e3
| op(e2,e1) != e4
| op(e2,e1) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e4) ),[1],$fot(e3)]]) ).
cnf(refute_16_321,plain,
( op(e2,e1) != e4
| op(e2,e1) = e3 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_16_319,refute_16_320]) ).
cnf(refute_16_322,plain,
op(e2,e1) = e3,
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_16_115,refute_16_321]) ).
cnf(refute_16_323,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(canonicalize,[],[normalize_16_59]) ).
cnf(refute_16_324,plain,
op(e4,e2) != op(e4,e3),
inference(canonicalize,[],[normalize_16_60]) ).
cnf(refute_16_325,plain,
( e1 != op(e4,e3)
| op(e4,e2) != e1
| op(e4,e2) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e1) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_16_326,plain,
( e1 != op(e4,e3)
| op(e4,e2) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_16_16,refute_16_325]) ).
cnf(refute_16_327,plain,
e1 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e3)) )],[refute_16_326,refute_16_324]) ).
cnf(refute_16_328,plain,
( op(e4,e3) != e1
| e1 = op(e4,e3) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_16_329,plain,
op(e4,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e3)) )],[refute_16_328,refute_16_327]) ).
cnf(refute_16_330,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e1) )],[refute_16_323,refute_16_329]) ).
cnf(refute_16_331,plain,
op(e4,e3) != op(e4,e4),
inference(canonicalize,[],[normalize_16_61]) ).
cnf(refute_16_332,plain,
( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
inference(canonicalize,[],[normalize_16_62]) ).
cnf(refute_16_333,plain,
( op(e2,e4) != e0
| op(e2,e4) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e0) ),[0],$fot(e3)]]) ).
cnf(refute_16_334,plain,
( op(e2,e4) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_16_7,refute_16_333]) ).
cnf(refute_16_335,plain,
( e3 = e0
| op(e0,e4) = e0
| op(e1,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_16_332,refute_16_334]) ).
cnf(refute_16_336,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_16_337,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_16_336,refute_16_289]) ).
cnf(refute_16_338,plain,
( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_16_335,refute_16_337]) ).
cnf(refute_16_339,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_16_63]) ).
cnf(refute_16_340,plain,
( e0 != op(e1,e4)
| op(e1,e1) != e0
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_16_341,plain,
( e0 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_16_34,refute_16_340]) ).
cnf(refute_16_342,plain,
e0 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_16_341,refute_16_339]) ).
cnf(refute_16_343,plain,
( op(e1,e4) != e0
| e0 = op(e1,e4) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e0))]]) ).
cnf(refute_16_344,plain,
op(e1,e4) != e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_16_343,refute_16_342]) ).
cnf(refute_16_345,plain,
( op(e0,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_16_338,refute_16_344]) ).
cnf(refute_16_346,plain,
( op(e4,e3) != e0
| op(e4,e4) != e0
| op(e4,e3) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e3),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_16_347,plain,
( op(e4,e3) != e0
| op(e0,e4) = e0
| op(e3,e4) = e0
| op(e4,e3) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_16_345,refute_16_346]) ).
cnf(refute_16_348,plain,
( op(e4,e3) != e0
| op(e0,e4) = e0
| op(e3,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e4)) )],[refute_16_347,refute_16_331]) ).
cnf(refute_16_349,plain,
( op(e0,e4) != e0
| op(e0,e4) != e4
| e4 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e0) ),[0],$fot(e4)]]) ).
cnf(refute_16_350,plain,
( op(e0,e4) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_16_155,refute_16_349]) ).
cnf(refute_16_351,plain,
( op(e4,e3) != e0
| e4 = e0
| op(e3,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e0) )],[refute_16_348,refute_16_350]) ).
cnf(refute_16_352,plain,
( op(e3,e4) != e0
| op(e3,e4) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e0) ),[0],$fot(e1)]]) ).
cnf(refute_16_353,plain,
( op(e3,e4) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_16_161,refute_16_352]) ).
cnf(refute_16_354,plain,
( op(e4,e3) != e0
| e1 = e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e0) )],[refute_16_351,refute_16_353]) ).
cnf(refute_16_355,plain,
e0 != e1,
inference(canonicalize,[],[normalize_16_64]) ).
cnf(refute_16_356,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_16_357,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_16_356,refute_16_355]) ).
cnf(refute_16_358,plain,
( op(e4,e3) != e0
| e4 = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_16_354,refute_16_357]) ).
cnf(refute_16_359,plain,
e0 != e4,
inference(canonicalize,[],[normalize_16_65]) ).
cnf(refute_16_360,plain,
( e4 != e0
| e0 = e4 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e4)),bind(Y,$fot(e0))]]) ).
cnf(refute_16_361,plain,
e4 != e0,
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_16_360,refute_16_359]) ).
cnf(refute_16_362,plain,
op(e4,e3) != e0,
inference(resolve,[$cnf( $equal(e4,e0) )],[refute_16_358,refute_16_361]) ).
cnf(refute_16_363,plain,
( op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_16_330,refute_16_362]) ).
cnf(refute_16_364,plain,
( op(e4,e3) = e2
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_16_363,refute_16_206]) ).
cnf(refute_16_365,plain,
op(e1,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_16_66]) ).
cnf(refute_16_366,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_16_67]) ).
cnf(refute_16_367,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(canonicalize,[],[normalize_16_68]) ).
cnf(refute_16_368,plain,
( op(e1,e0) != e1
| op(e1,e0) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e4) ),[0],$fot(e1)]]) ).
cnf(refute_16_369,plain,
( op(e1,e0) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_16_73,refute_16_368]) ).
cnf(refute_16_370,plain,
( e1 = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e4) )],[refute_16_367,refute_16_369]) ).
cnf(refute_16_371,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[0],$fot(e0)]]) ).
cnf(refute_16_372,plain,
( op(e1,e1) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_16_34,refute_16_371]) ).
cnf(refute_16_373,plain,
( e0 = e4
| e1 = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_16_370,refute_16_372]) ).
cnf(refute_16_374,plain,
( e1 = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_16_373,refute_16_359]) ).
cnf(refute_16_375,plain,
( op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_16_374,refute_16_62]) ).
cnf(refute_16_376,plain,
( op(e0,e4) != e4
| op(e1,e4) != e4
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e1,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_16_377,plain,
( op(e0,e4) != e4
| op(e0,e4) = op(e1,e4)
| op(e1,e2) = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_16_375,refute_16_376]) ).
cnf(refute_16_378,plain,
( op(e0,e4) != e4
| op(e1,e2) = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_16_377,refute_16_366]) ).
cnf(refute_16_379,plain,
( e4 != e4
| op(e0,e4) != e4
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[0,1],$fot(e4)]]) ).
cnf(refute_16_380,plain,
( e4 != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_16_155,refute_16_379]) ).
cnf(refute_16_381,plain,
( e4 != e4
| op(e1,e2) = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_16_380,refute_16_378]) ).
cnf(refute_16_382,plain,
( op(e1,e2) != e3
| op(e1,e2) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e4) ),[0],$fot(e3)]]) ).
cnf(refute_16_383,plain,
( op(e1,e2) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_16_299,refute_16_382]) ).
cnf(refute_16_384,plain,
( e4 != e4
| e3 = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_16_381,refute_16_383]) ).
cnf(refute_16_385,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_16_386,plain,
( e3 = e4
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_16_385,refute_16_384]) ).
cnf(refute_16_387,plain,
op(e1,e3) = e4,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_16_386,refute_16_189]) ).
cnf(refute_16_388,plain,
( e4 != op(e4,e3)
| op(e1,e3) != e4
| op(e1,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e4) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_16_389,plain,
( e4 != op(e4,e3)
| op(e1,e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_16_387,refute_16_388]) ).
cnf(refute_16_390,plain,
e4 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e4,e3)) )],[refute_16_389,refute_16_365]) ).
cnf(refute_16_391,plain,
( op(e4,e3) != e4
| e4 = op(e4,e3) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e4))]]) ).
cnf(refute_16_392,plain,
op(e4,e3) != e4,
inference(resolve,[$cnf( $equal(e4,op(e4,e3)) )],[refute_16_391,refute_16_390]) ).
cnf(refute_16_393,plain,
op(e4,e3) = e2,
inference(resolve,[$cnf( $equal(op(e4,e3),e4) )],[refute_16_364,refute_16_392]) ).
cnf(refute_16_394,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(canonicalize,[],[normalize_16_69]) ).
cnf(refute_16_395,plain,
op(e1,e1) != op(e1,e3),
inference(canonicalize,[],[normalize_16_70]) ).
cnf(refute_16_396,plain,
( e0 != op(e1,e3)
| op(e1,e1) != e0
| op(e1,e1) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_16_397,plain,
( e0 != op(e1,e3)
| op(e1,e1) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_16_34,refute_16_396]) ).
cnf(refute_16_398,plain,
e0 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e3)) )],[refute_16_397,refute_16_395]) ).
cnf(refute_16_399,plain,
( op(e1,e3) != e0
| e0 = op(e1,e3) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e0))]]) ).
cnf(refute_16_400,plain,
op(e1,e3) != e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e3)) )],[refute_16_399,refute_16_398]) ).
cnf(refute_16_401,plain,
( op(e0,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_16_394,refute_16_400]) ).
cnf(refute_16_402,plain,
( op(e0,e3) != e0
| op(e0,e3) != e3
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e0) ),[0],$fot(e3)]]) ).
cnf(refute_16_403,plain,
( op(e0,e3) != e0
| e3 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_16_201,refute_16_402]) ).
cnf(refute_16_404,plain,
( e3 = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_16_401,refute_16_403]) ).
cnf(refute_16_405,plain,
( op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_16_404,refute_16_337]) ).
cnf(refute_16_406,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_16_71]) ).
cnf(refute_16_407,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(canonicalize,[],[normalize_16_72]) ).
cnf(refute_16_408,plain,
( e3 = e0
| op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e0) )],[refute_16_407,refute_16_334]) ).
cnf(refute_16_409,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_16_408,refute_16_337]) ).
cnf(refute_16_410,plain,
( op(e2,e0) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_16_409,refute_16_39]) ).
cnf(refute_16_411,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(canonicalize,[],[normalize_16_73]) ).
cnf(refute_16_412,plain,
( e3 = e1
| op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_16_411,refute_16_128]) ).
cnf(refute_16_413,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_16_412,refute_16_132]) ).
cnf(refute_16_414,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_16_413,refute_16_218]) ).
cnf(refute_16_415,plain,
op(e1,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_16_74]) ).
cnf(refute_16_416,plain,
( e1 != op(e2,e0)
| op(e1,e0) != e1
| op(e1,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_16_417,plain,
( e1 != op(e2,e0)
| op(e1,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_16_73,refute_16_416]) ).
cnf(refute_16_418,plain,
e1 != op(e2,e0),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e2,e0)) )],[refute_16_417,refute_16_415]) ).
cnf(refute_16_419,plain,
( op(e2,e0) != e1
| e1 = op(e2,e0) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e2,e0))),bind(Y,$fot(e1))]]) ).
cnf(refute_16_420,plain,
op(e2,e0) != e1,
inference(resolve,[$cnf( $equal(e1,op(e2,e0)) )],[refute_16_419,refute_16_418]) ).
cnf(refute_16_421,plain,
( op(e2,e1) = e1
| op(e2,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_16_414,refute_16_420]) ).
cnf(refute_16_422,plain,
( op(e2,e3) != e0
| op(e2,e3) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),e0) ),[0],$fot(e1)]]) ).
cnf(refute_16_423,plain,
( op(e2,e3) != e0
| e1 = e0
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_16_421,refute_16_422]) ).
cnf(refute_16_424,plain,
( e1 = e0
| op(e2,e0) = e0
| op(e2,e1) = e1
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_16_410,refute_16_423]) ).
cnf(refute_16_425,plain,
( op(e2,e0) = e0
| op(e2,e1) = e1
| op(e2,e2) = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_16_424,refute_16_357]) ).
cnf(refute_16_426,plain,
( e0 != op(e2,e3)
| op(e2,e2) != e0
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e0) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_16_427,plain,
( e0 != op(e2,e3)
| op(e2,e0) = e0
| op(e2,e1) = e1
| op(e2,e2) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_16_425,refute_16_426]) ).
cnf(refute_16_428,plain,
( e0 != op(e2,e3)
| op(e2,e0) = e0
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_16_427,refute_16_406]) ).
cnf(refute_16_429,plain,
( op(e2,e0) != e0
| op(e2,e0) != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e0) ),[0],$fot(e2)]]) ).
cnf(refute_16_430,plain,
( op(e2,e0) != e0
| e2 = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_16_109,refute_16_429]) ).
cnf(refute_16_431,plain,
( e0 != op(e2,e3)
| e2 = e0
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_16_428,refute_16_430]) ).
cnf(refute_16_432,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_16_433,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_16_432,refute_16_259]) ).
cnf(refute_16_434,plain,
( e0 != op(e2,e3)
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_16_431,refute_16_433]) ).
cnf(refute_16_435,plain,
e0 != op(e2,e3),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_16_434,refute_16_99]) ).
cnf(refute_16_436,plain,
( op(e2,e3) != e0
| e0 = op(e2,e3) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(e0))]]) ).
cnf(refute_16_437,plain,
op(e2,e3) != e0,
inference(resolve,[$cnf( $equal(e0,op(e2,e3)) )],[refute_16_436,refute_16_435]) ).
cnf(refute_16_438,plain,
( op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),e0) )],[refute_16_405,refute_16_437]) ).
cnf(refute_16_439,plain,
op(e3,e3) = e0,
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_16_438,refute_16_362]) ).
cnf(refute_16_440,plain,
op(e4,e3) = op(e4,e3),
introduced(tautology,[refl,[$fot(op(e4,e3))]]) ).
cnf(refute_16_441,plain,
( e4 != e3
| op(e4,e3) != op(e4,e3)
| op(e4,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e3),op(e4,e3)) ),[1,0],$fot(e3)]]) ).
cnf(refute_16_442,plain,
( e4 != e3
| op(e4,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e3)) )],[refute_16_440,refute_16_441]) ).
cnf(refute_16_443,plain,
op(e4,e3) = op(e3,e3),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_16_319,refute_16_442]) ).
cnf(refute_16_444,plain,
( op(e3,e3) != e0
| op(e4,e3) != op(e3,e3)
| op(e4,e3) = e0 ),
inference(subst,[],[refute_16_26:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(op(e3,e3))),bind(Z,$fot(e0))]]) ).
cnf(refute_16_445,plain,
( op(e3,e3) != e0
| op(e4,e3) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e3),op(e3,e3)) )],[refute_16_443,refute_16_444]) ).
cnf(refute_16_446,plain,
op(e4,e3) = e0,
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_16_439,refute_16_445]) ).
cnf(refute_16_447,plain,
( op(e4,e3) != e0
| op(e4,e3) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e3),e2) ),[0],$fot(e0)]]) ).
cnf(refute_16_448,plain,
( op(e4,e3) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_16_446,refute_16_447]) ).
cnf(refute_16_449,plain,
e0 = e2,
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_16_393,refute_16_448]) ).
cnf(refute_16_450,plain,
( e0 != e2
| e2 = e0 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e0)),bind(Y,$fot(e2))]]) ).
cnf(refute_16_451,plain,
e2 = e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_16_449,refute_16_450]) ).
cnf(refute_16_452,plain,
op(e2,e1) = op(e2,e1),
introduced(tautology,[refl,[$fot(op(e2,e1))]]) ).
cnf(refute_16_453,plain,
( e2 != e0
| op(e2,e1) != op(e2,e1)
| op(e2,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),op(e2,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_16_454,plain,
( e2 != e0
| op(e2,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e1)) )],[refute_16_452,refute_16_453]) ).
cnf(refute_16_455,plain,
op(e2,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_16_451,refute_16_454]) ).
cnf(refute_16_456,plain,
( op(e0,e1) != e1
| op(e2,e1) != op(e0,e1)
| op(e2,e1) = e1 ),
inference(subst,[],[refute_16_26:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(op(e0,e1))),bind(Z,$fot(e1))]]) ).
cnf(refute_16_457,plain,
( op(e0,e1) != e1
| op(e2,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e0,e1)) )],[refute_16_455,refute_16_456]) ).
cnf(refute_16_458,plain,
op(e2,e1) = e1,
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_16_94,refute_16_457]) ).
cnf(refute_16_459,plain,
( op(e2,e1) != e1
| op(e2,e1) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e3) ),[0],$fot(e1)]]) ).
cnf(refute_16_460,plain,
( op(e2,e1) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_16_458,refute_16_459]) ).
cnf(refute_16_461,plain,
e1 = e3,
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_16_322,refute_16_460]) ).
cnf(refute_16_462,plain,
( e1 != e3
| e3 = e1 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e1)),bind(Y,$fot(e3))]]) ).
cnf(refute_16_463,plain,
e3 = e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_16_461,refute_16_462]) ).
cnf(refute_16_464,plain,
( e3 != e1
| e4 != e3
| e4 = e1 ),
inference(subst,[],[refute_16_26:[bind(X,$fot(e4)),bind(Y,$fot(e3)),bind(Z,$fot(e1))]]) ).
cnf(refute_16_465,plain,
( e3 != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_16_319,refute_16_464]) ).
cnf(refute_16_466,plain,
e4 = e1,
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_16_463,refute_16_465]) ).
cnf(refute_16_467,plain,
op(e1,e4) = op(e1,e4),
introduced(tautology,[refl,[$fot(op(e1,e4))]]) ).
cnf(refute_16_468,plain,
( e4 != e1
| op(e1,e4) != op(e1,e4)
| op(e1,e4) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),op(e1,e4)) ),[1,1],$fot(e1)]]) ).
cnf(refute_16_469,plain,
( e4 != e1
| op(e1,e4) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e1,e4)) )],[refute_16_467,refute_16_468]) ).
cnf(refute_16_470,plain,
op(e1,e4) = op(e1,e1),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_16_466,refute_16_469]) ).
cnf(refute_16_471,plain,
op(e3,e4) = op(e3,e4),
introduced(tautology,[refl,[$fot(op(e3,e4))]]) ).
cnf(refute_16_472,plain,
( e3 != e1
| op(e3,e4) != op(e3,e4)
| op(e3,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),op(e3,e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_16_473,plain,
( e3 != e1
| op(e3,e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e3,e4)) )],[refute_16_471,refute_16_472]) ).
cnf(refute_16_474,plain,
op(e3,e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_16_463,refute_16_473]) ).
cnf(refute_16_475,plain,
( op(e1,e4) != op(e1,e1)
| op(e3,e4) != op(e1,e4)
| op(e3,e4) = op(e1,e1) ),
inference(subst,[],[refute_16_26:[bind(X,$fot(op(e3,e4))),bind(Y,$fot(op(e1,e4))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_16_476,plain,
( op(e1,e4) != op(e1,e1)
| op(e3,e4) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e1,e4)) )],[refute_16_474,refute_16_475]) ).
cnf(refute_16_477,plain,
op(e3,e4) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,e4),op(e1,e1)) )],[refute_16_470,refute_16_476]) ).
cnf(refute_16_478,plain,
( op(e1,e1) != e0
| op(e3,e4) != op(e1,e1)
| op(e3,e4) = e0 ),
inference(subst,[],[refute_16_26:[bind(X,$fot(op(e3,e4))),bind(Y,$fot(op(e1,e1))),bind(Z,$fot(e0))]]) ).
cnf(refute_16_479,plain,
( op(e1,e1) != e0
| op(e3,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e3,e4),op(e1,e1)) )],[refute_16_477,refute_16_478]) ).
cnf(refute_16_480,plain,
op(e3,e4) = e0,
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_16_34,refute_16_479]) ).
cnf(refute_16_481,plain,
( op(e3,e4) != e0
| op(e3,e4) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e4),e1) ),[0],$fot(e0)]]) ).
cnf(refute_16_482,plain,
( op(e3,e4) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e0) )],[refute_16_480,refute_16_481]) ).
cnf(refute_16_483,plain,
e0 = e1,
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_16_161,refute_16_482]) ).
cnf(refute_16_484,plain,
( e0 != e1
| e1 = e0 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e0)),bind(Y,$fot(e1))]]) ).
cnf(refute_16_485,plain,
e1 = e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_16_483,refute_16_484]) ).
cnf(refute_16_486,plain,
( e1 != e0
| e1 != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(e1,e3) ),[0],$fot(e0)]]) ).
cnf(refute_16_487,plain,
( e1 != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_16_485,refute_16_486]) ).
cnf(refute_16_488,plain,
e0 = e3,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_16_461,refute_16_487]) ).
cnf(refute_16_489,plain,
$false,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_16_488,refute_16_289]) ).
fof(negate_17_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3 )
=> op(op(e3,e2),e3) = e2 ),
inference(negate,[],[subgoal_17]) ).
fof(normalize_17_0,plain,
( ( 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(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = 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(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = 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(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_17_1,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_2,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_17_3,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_17_2]) ).
fof(normalize_17_4,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_17_5,plain,
e1 != e3,
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_6,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_17_7,plain,
op(e2,e2) != op(e2,e4),
inference(conjunct,[],[normalize_17_6]) ).
fof(normalize_17_8,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_17_2]) ).
fof(normalize_17_9,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_17_10,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_17_9]) ).
fof(normalize_17_11,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_17_9]) ).
fof(normalize_17_12,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_17_9]) ).
fof(normalize_17_13,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_17_9]) ).
fof(normalize_17_14,plain,
op(e1,e2) != op(e4,e2),
inference(conjunct,[],[normalize_17_6]) ).
fof(normalize_17_15,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_17_2]) ).
fof(normalize_17_16,plain,
e0 != e1,
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_17,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_17_6]) ).
fof(normalize_17_18,plain,
( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 ) ),
inference(canonicalize,[],[negate_17_0]) ).
fof(normalize_17_19,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_20,plain,
op(e2,e4) != op(e3,e4),
inference(conjunct,[],[normalize_17_6]) ).
fof(normalize_17_21,plain,
op(op(e3,e2),e2) = e3,
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_22,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_23,plain,
e1 != e4,
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_24,plain,
( op(e2,e2) != e4
| op(e2,e4) = e2 ),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_25,plain,
e2 != e3,
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_26,plain,
e2 != e4,
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_27,plain,
e3 != e4,
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_28,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_17_6]) ).
cnf(refute_17_0,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(canonicalize,[],[normalize_17_1]) ).
cnf(refute_17_1,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_17_3]) ).
cnf(refute_17_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_17_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_17_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_17_2,refute_17_3]) ).
cnf(refute_17_5,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_17_4:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_17_6,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_17_1,refute_17_5]) ).
cnf(refute_17_7,plain,
( op(e4,e2) != e1
| op(e4,e2) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e3) ),[0],$fot(e1)]]) ).
cnf(refute_17_8,plain,
( op(e4,e2) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_17_6,refute_17_7]) ).
cnf(refute_17_9,plain,
( e1 = e3
| op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_17_0,refute_17_8]) ).
cnf(refute_17_10,plain,
e1 != e3,
inference(canonicalize,[],[normalize_17_5]) ).
cnf(refute_17_11,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_17_9,refute_17_10]) ).
cnf(refute_17_12,plain,
op(e2,e2) != op(e2,e4),
inference(canonicalize,[],[normalize_17_7]) ).
cnf(refute_17_13,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_17_8]) ).
cnf(refute_17_14,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_17_4:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_17_15,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_17_13,refute_17_14]) ).
cnf(refute_17_16,plain,
( op(e2,e2) != e3
| op(e2,e4) != e3
| op(e2,e2) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e2),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_17_17,plain,
( op(e2,e2) != e3
| op(e2,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_17_15,refute_17_16]) ).
cnf(refute_17_18,plain,
op(e2,e2) != e3,
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e4)) )],[refute_17_17,refute_17_12]) ).
cnf(refute_17_19,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_17_11,refute_17_18]) ).
cnf(refute_17_20,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_17_10]) ).
cnf(refute_17_21,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_17_11]) ).
cnf(refute_17_22,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_17_12]) ).
cnf(refute_17_23,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_17_13]) ).
cnf(refute_17_24,plain,
( op(e1,unit) != e1
| unit != e2
| op(e1,e2) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e2)]]) ).
cnf(refute_17_25,plain,
( op(e1,unit) != e1
| op(e1,e2) = e1
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_17_23,refute_17_24]) ).
cnf(refute_17_26,plain,
( op(e1,e2) = e1
| unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_17_22,refute_17_25]) ).
cnf(refute_17_27,plain,
op(e1,e2) != op(e4,e2),
inference(canonicalize,[],[normalize_17_14]) ).
cnf(refute_17_28,plain,
( op(e1,e2) != e1
| op(e4,e2) != e1
| op(e1,e2) = op(e4,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e2),op(e4,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_17_29,plain,
( op(e1,e2) != e1
| op(e1,e2) = op(e4,e2) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_17_6,refute_17_28]) ).
cnf(refute_17_30,plain,
op(e1,e2) != e1,
inference(resolve,[$cnf( $equal(op(e1,e2),op(e4,e2)) )],[refute_17_29,refute_17_27]) ).
cnf(refute_17_31,plain,
( unit = e0
| unit = e1
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_17_26,refute_17_30]) ).
cnf(refute_17_32,plain,
( op(e1,unit) != e1
| unit != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e1)]]) ).
cnf(refute_17_33,plain,
( op(e1,unit) != e1
| op(e1,e1) = e1
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_17_31,refute_17_32]) ).
cnf(refute_17_34,plain,
( op(e1,e1) = e1
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_17_22,refute_17_33]) ).
cnf(refute_17_35,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_17_15]) ).
cnf(refute_17_36,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_17_37,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_17_38,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_17_36,refute_17_37]) ).
cnf(refute_17_39,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_17_6,refute_17_38]) ).
cnf(refute_17_40,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_17_41,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_17_42,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_17_40,refute_17_41]) ).
cnf(refute_17_43,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_17_6,refute_17_42]) ).
cnf(refute_17_44,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_17_45,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_17_4,refute_17_44]) ).
cnf(refute_17_46,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_17_45:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_17_47,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_17_43,refute_17_46]) ).
cnf(refute_17_48,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_17_39,refute_17_47]) ).
cnf(refute_17_49,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_17_50,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_17_48,refute_17_49]) ).
cnf(refute_17_51,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_17_35,refute_17_50]) ).
cnf(refute_17_52,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_17_4:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_17_53,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_17_51,refute_17_52]) ).
cnf(refute_17_54,plain,
( op(e1,e1) != e0
| op(e1,e1) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e0)]]) ).
cnf(refute_17_55,plain,
( op(e1,e1) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_17_53,refute_17_54]) ).
cnf(refute_17_56,plain,
( e0 = e1
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_17_34,refute_17_55]) ).
cnf(refute_17_57,plain,
e0 != e1,
inference(canonicalize,[],[normalize_17_16]) ).
cnf(refute_17_58,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_17_56,refute_17_57]) ).
cnf(refute_17_59,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_17_60,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_17_58,refute_17_59]) ).
cnf(refute_17_61,plain,
( op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_17_22,refute_17_60]) ).
cnf(refute_17_62,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_17_17]) ).
cnf(refute_17_63,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_17_19]) ).
cnf(refute_17_64,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_17_65,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_17_53,refute_17_64]) ).
cnf(refute_17_66,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_17_65,refute_17_63]) ).
cnf(refute_17_67,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_17_68,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_17_67,refute_17_66]) ).
cnf(refute_17_69,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_17_70,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_17_68,refute_17_69]) ).
cnf(refute_17_71,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_17_70,refute_17_62]) ).
cnf(refute_17_72,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_17_4:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_17_73,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_17_72,refute_17_71]) ).
cnf(refute_17_74,plain,
( unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_17_61,refute_17_73]) ).
cnf(refute_17_75,plain,
( op(e3,unit) != e3
| unit != e4
| op(e3,e4) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0,1],$fot(e4)]]) ).
cnf(refute_17_76,plain,
( op(e3,unit) != e3
| op(e3,e4) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_17_74,refute_17_75]) ).
cnf(refute_17_77,plain,
( op(e3,e4) = e3
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_17_21,refute_17_76]) ).
cnf(refute_17_78,plain,
op(e2,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_17_20]) ).
cnf(refute_17_79,plain,
( e3 != op(e3,e4)
| op(e2,e4) != e3
| op(e2,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e3) ),[1],$fot(op(e3,e4))]]) ).
cnf(refute_17_80,plain,
( e3 != op(e3,e4)
| op(e2,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_17_15,refute_17_79]) ).
cnf(refute_17_81,plain,
e3 != op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e3,e4)) )],[refute_17_80,refute_17_78]) ).
cnf(refute_17_82,plain,
( op(e3,e4) != e3
| e3 = op(e3,e4) ),
inference(subst,[],[refute_17_4:[bind(X,$fot(op(e3,e4))),bind(Y,$fot(e3))]]) ).
cnf(refute_17_83,plain,
op(e3,e4) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e4)) )],[refute_17_82,refute_17_81]) ).
cnf(refute_17_84,plain,
unit = e0,
inference(resolve,[$cnf( $equal(op(e3,e4),e3) )],[refute_17_77,refute_17_83]) ).
cnf(refute_17_85,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_17_86,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_17_87,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_17_85,refute_17_86]) ).
cnf(refute_17_88,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_17_84,refute_17_87]) ).
cnf(refute_17_89,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_17_90,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_17_88,refute_17_89]) ).
cnf(refute_17_91,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_17_20,refute_17_90]) ).
cnf(refute_17_92,plain,
( op(e0,e2) != e2
| op(e0,e2) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e3) ),[0],$fot(e2)]]) ).
cnf(refute_17_93,plain,
( op(e0,e2) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_17_91,refute_17_92]) ).
cnf(refute_17_94,plain,
( e2 = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_17_19,refute_17_93]) ).
cnf(refute_17_95,plain,
op(op(e3,e2),e2) = e3,
inference(canonicalize,[],[normalize_17_21]) ).
cnf(refute_17_96,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(canonicalize,[],[normalize_17_22]) ).
cnf(refute_17_97,plain,
( op(e4,e2) != e1
| op(e4,e2) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e4) ),[0],$fot(e1)]]) ).
cnf(refute_17_98,plain,
( op(e4,e2) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_17_6,refute_17_97]) ).
cnf(refute_17_99,plain,
( e1 = e4
| op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_17_96,refute_17_98]) ).
cnf(refute_17_100,plain,
e1 != e4,
inference(canonicalize,[],[normalize_17_23]) ).
cnf(refute_17_101,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_17_99,refute_17_100]) ).
cnf(refute_17_102,plain,
( op(e2,e2) != e4
| op(e2,e4) = e2 ),
inference(canonicalize,[],[normalize_17_24]) ).
cnf(refute_17_103,plain,
( op(e2,e4) != e2
| op(e2,e4) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e2) ),[0],$fot(e3)]]) ).
cnf(refute_17_104,plain,
( op(e2,e4) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_17_15,refute_17_103]) ).
cnf(refute_17_105,plain,
( op(e2,e2) != e4
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e2) )],[refute_17_102,refute_17_104]) ).
cnf(refute_17_106,plain,
e2 != e3,
inference(canonicalize,[],[normalize_17_25]) ).
cnf(refute_17_107,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_17_4:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_17_108,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_17_107,refute_17_106]) ).
cnf(refute_17_109,plain,
op(e2,e2) != e4,
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_17_105,refute_17_108]) ).
cnf(refute_17_110,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_17_101,refute_17_109]) ).
cnf(refute_17_111,plain,
( op(e3,e2) != e4
| op(op(e3,e2),e2) != e3
| op(e4,e2) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e2),e2),e3) ),[0,0],$fot(e4)]]) ).
cnf(refute_17_112,plain,
( op(op(e3,e2),e2) != e3
| op(e0,e2) = e4
| op(e1,e2) = e4
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_17_110,refute_17_111]) ).
cnf(refute_17_113,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e4,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e2),e2),e3) )],[refute_17_95,refute_17_112]) ).
cnf(refute_17_114,plain,
( e1 = e3
| op(e0,e2) = e4
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_17_113,refute_17_8]) ).
cnf(refute_17_115,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_17_114,refute_17_10]) ).
cnf(refute_17_116,plain,
( op(e0,e2) != e2
| op(e0,e2) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e4) ),[0],$fot(e2)]]) ).
cnf(refute_17_117,plain,
( op(e0,e2) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_17_91,refute_17_116]) ).
cnf(refute_17_118,plain,
( e2 = e4
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_17_115,refute_17_117]) ).
cnf(refute_17_119,plain,
e2 != e4,
inference(canonicalize,[],[normalize_17_26]) ).
cnf(refute_17_120,plain,
op(e1,e2) = e4,
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_17_118,refute_17_119]) ).
cnf(refute_17_121,plain,
( op(e1,e2) != e3
| op(e1,e2) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e3) ),[0],$fot(e4)]]) ).
cnf(refute_17_122,plain,
( op(e1,e2) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_17_120,refute_17_121]) ).
cnf(refute_17_123,plain,
( e2 = e3
| e4 = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_17_94,refute_17_122]) ).
cnf(refute_17_124,plain,
( e4 = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_17_123,refute_17_106]) ).
cnf(refute_17_125,plain,
e3 != e4,
inference(canonicalize,[],[normalize_17_27]) ).
cnf(refute_17_126,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_17_4:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_17_127,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_17_126,refute_17_125]) ).
cnf(refute_17_128,plain,
op(e3,e2) = e3,
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_17_124,refute_17_127]) ).
cnf(refute_17_129,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_17_28]) ).
cnf(refute_17_130,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_17_131,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_17_132,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_17_130,refute_17_131]) ).
cnf(refute_17_133,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_17_84,refute_17_132]) ).
cnf(refute_17_134,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_17_135,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_17_133,refute_17_134]) ).
cnf(refute_17_136,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_17_21,refute_17_135]) ).
cnf(refute_17_137,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_17_138,plain,
( e3 != op(e3,e2)
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_17_136,refute_17_137]) ).
cnf(refute_17_139,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_17_138,refute_17_129]) ).
cnf(refute_17_140,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_17_4:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_17_141,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_17_140,refute_17_139]) ).
cnf(refute_17_142,plain,
$false,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_17_128,refute_17_141]) ).
fof(negate_18_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3 )
=> op(op(e3,e3),e3) = e3 ),
inference(negate,[],[subgoal_18]) ).
fof(normalize_18_0,plain,
$false,
inference(canonicalize,[],[negate_18_0]) ).
cnf(refute_18_0,plain,
$false,
inference(canonicalize,[],[normalize_18_0]) ).
fof(negate_19_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3 )
=> op(op(e3,e4),e3) = e4 ),
inference(negate,[],[subgoal_19]) ).
fof(normalize_19_0,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_19_1,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_2,plain,
( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2)
| op(op(e3,e2),e3) = e2 ) ),
inference(canonicalize,[],[negate_19_0]) ).
fof(normalize_19_3,plain,
op(op(e3,e4),e4) = e3,
inference(conjunct,[],[normalize_19_2]) ).
fof(normalize_19_4,plain,
( ( 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(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = 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(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = 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(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_19_5,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_19_4]) ).
fof(normalize_19_6,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_19_7,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_19_6]) ).
fof(normalize_19_8,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_19_9,plain,
e1 != e3,
inference(conjunct,[],[normalize_19_8]) ).
fof(normalize_19_10,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_19_11,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_19_10]) ).
fof(normalize_19_12,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_19_6]) ).
fof(normalize_19_13,plain,
op(e1,e0) != op(e1,e4),
inference(conjunct,[],[normalize_19_10]) ).
fof(normalize_19_14,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_19_2]) ).
fof(normalize_19_15,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_19_6]) ).
fof(normalize_19_16,plain,
op(e1,e4) != op(e2,e4),
inference(conjunct,[],[normalize_19_10]) ).
fof(normalize_19_17,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_18,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_19,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_20,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_19_0]) ).
fof(normalize_19_21,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_19_10]) ).
fof(normalize_19_22,plain,
e1 != e4,
inference(conjunct,[],[normalize_19_8]) ).
fof(normalize_19_23,plain,
e0 != e1,
inference(conjunct,[],[normalize_19_8]) ).
fof(normalize_19_24,plain,
e3 != e4,
inference(conjunct,[],[normalize_19_8]) ).
cnf(refute_19_0,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_19_1]) ).
cnf(refute_19_1,plain,
op(op(e3,e4),e4) = e3,
inference(canonicalize,[],[normalize_19_3]) ).
cnf(refute_19_2,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_19_5]) ).
cnf(refute_19_3,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_19_7]) ).
cnf(refute_19_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_19_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_19_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_19_4,refute_19_5]) ).
cnf(refute_19_7,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_19_6:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_19_8,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_19_3,refute_19_7]) ).
cnf(refute_19_9,plain,
( op(e2,e4) != e1
| op(e2,e4) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e1) ),[0],$fot(e3)]]) ).
cnf(refute_19_10,plain,
( op(e2,e4) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_19_8,refute_19_9]) ).
cnf(refute_19_11,plain,
( e3 = e1
| op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_19_2,refute_19_10]) ).
cnf(refute_19_12,plain,
e1 != e3,
inference(canonicalize,[],[normalize_19_9]) ).
cnf(refute_19_13,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_19_6:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_19_14,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_19_13,refute_19_12]) ).
cnf(refute_19_15,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_19_11,refute_19_14]) ).
cnf(refute_19_16,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_19_11]) ).
cnf(refute_19_17,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_19_12]) ).
cnf(refute_19_18,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_19_6:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_19_19,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_19_17,refute_19_18]) ).
cnf(refute_19_20,plain,
( e1 != op(e4,e4)
| op(e4,e2) != e1
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e1) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_19_21,plain,
( e1 != op(e4,e4)
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_19_19,refute_19_20]) ).
cnf(refute_19_22,plain,
e1 != op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_19_21,refute_19_16]) ).
cnf(refute_19_23,plain,
( op(e4,e4) != e1
| e1 = op(e4,e4) ),
inference(subst,[],[refute_19_6:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(e1))]]) ).
cnf(refute_19_24,plain,
op(e4,e4) != e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_19_23,refute_19_22]) ).
cnf(refute_19_25,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_19_15,refute_19_24]) ).
cnf(refute_19_26,plain,
op(e1,e0) != op(e1,e4),
inference(canonicalize,[],[normalize_19_13]) ).
cnf(refute_19_27,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_19_14]) ).
cnf(refute_19_28,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_19_15]) ).
cnf(refute_19_29,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_19_30,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_19_31,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_19_29,refute_19_30]) ).
cnf(refute_19_32,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_19_19,refute_19_31]) ).
cnf(refute_19_33,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_19_34,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_19_35,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_19_33,refute_19_34]) ).
cnf(refute_19_36,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_19_19,refute_19_35]) ).
cnf(refute_19_37,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_19_38,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_19_6,refute_19_37]) ).
cnf(refute_19_39,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_19_38:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_19_40,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_19_36,refute_19_39]) ).
cnf(refute_19_41,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_19_32,refute_19_40]) ).
cnf(refute_19_42,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_19_43,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_19_41,refute_19_42]) ).
cnf(refute_19_44,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_19_28,refute_19_43]) ).
cnf(refute_19_45,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_19_6:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_19_46,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_19_44,refute_19_45]) ).
cnf(refute_19_47,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_19_48,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_19_46,refute_19_47]) ).
cnf(refute_19_49,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_19_48,refute_19_27]) ).
cnf(refute_19_50,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_19_51,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_19_50,refute_19_49]) ).
cnf(refute_19_52,plain,
( e1 != op(e1,e4)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_19_53,plain,
( e1 != op(e1,e4)
| op(e1,e0) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_19_51,refute_19_52]) ).
cnf(refute_19_54,plain,
e1 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e4)) )],[refute_19_53,refute_19_26]) ).
cnf(refute_19_55,plain,
( op(e1,e4) != e1
| e1 = op(e1,e4) ),
inference(subst,[],[refute_19_6:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e1))]]) ).
cnf(refute_19_56,plain,
op(e1,e4) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e4)) )],[refute_19_55,refute_19_54]) ).
cnf(refute_19_57,plain,
( op(e0,e4) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_19_25,refute_19_56]) ).
cnf(refute_19_58,plain,
( op(e3,e4) != e1
| op(op(e3,e4),e4) != e3
| op(e1,e4) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e4),e4),e3) ),[0,0],$fot(e1)]]) ).
cnf(refute_19_59,plain,
( op(op(e3,e4),e4) != e3
| op(e0,e4) = e1
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_19_57,refute_19_58]) ).
cnf(refute_19_60,plain,
( op(e0,e4) = e1
| op(e1,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e3,e4),e4),e3) )],[refute_19_1,refute_19_59]) ).
cnf(refute_19_61,plain,
op(e1,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_19_16]) ).
cnf(refute_19_62,plain,
( op(e1,e4) != e3
| op(e2,e4) != e3
| op(e1,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_19_63,plain,
( op(e1,e4) != e3
| op(e1,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_19_8,refute_19_62]) ).
cnf(refute_19_64,plain,
op(e1,e4) != e3,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e2,e4)) )],[refute_19_63,refute_19_61]) ).
cnf(refute_19_65,plain,
op(e0,e4) = e1,
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_19_60,refute_19_64]) ).
cnf(refute_19_66,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_19_17]) ).
cnf(refute_19_67,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_19_18]) ).
cnf(refute_19_68,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_19_19]) ).
cnf(refute_19_69,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_19_20]) ).
cnf(refute_19_70,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_19_71,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_19_69,refute_19_70]) ).
cnf(refute_19_72,plain,
( op(e1,e3) = e1
| unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_19_68,refute_19_71]) ).
cnf(refute_19_73,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_19_21]) ).
cnf(refute_19_74,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_19_75,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_19_51,refute_19_74]) ).
cnf(refute_19_76,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_19_75,refute_19_73]) ).
cnf(refute_19_77,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_19_6:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_19_78,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_19_77,refute_19_76]) ).
cnf(refute_19_79,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_19_72,refute_19_78]) ).
cnf(refute_19_80,plain,
( op(unit,e4) != e4
| unit != e0
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e0)]]) ).
cnf(refute_19_81,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_19_79,refute_19_80]) ).
cnf(refute_19_82,plain,
( op(e0,e4) = e4
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_19_66,refute_19_81]) ).
cnf(refute_19_83,plain,
( op(e0,e4) != e1
| op(e0,e4) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[0],$fot(e1)]]) ).
cnf(refute_19_84,plain,
( op(e0,e4) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_19_65,refute_19_83]) ).
cnf(refute_19_85,plain,
( e1 = e4
| unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_19_82,refute_19_84]) ).
cnf(refute_19_86,plain,
e1 != e4,
inference(canonicalize,[],[normalize_19_22]) ).
cnf(refute_19_87,plain,
( unit = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_19_85,refute_19_86]) ).
cnf(refute_19_88,plain,
( op(unit,e1) != e1
| unit != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_19_89,plain,
( op(unit,e1) != e1
| op(e1,e1) = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_19_87,refute_19_88]) ).
cnf(refute_19_90,plain,
( op(e1,e1) = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_19_67,refute_19_89]) ).
cnf(refute_19_91,plain,
( op(e1,e1) != e0
| op(e1,e1) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e0)]]) ).
cnf(refute_19_92,plain,
( op(e1,e1) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_19_46,refute_19_91]) ).
cnf(refute_19_93,plain,
( e0 = e1
| unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_19_90,refute_19_92]) ).
cnf(refute_19_94,plain,
e0 != e1,
inference(canonicalize,[],[normalize_19_23]) ).
cnf(refute_19_95,plain,
( unit = e2
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_19_93,refute_19_94]) ).
cnf(refute_19_96,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_19_97,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_19_95,refute_19_96]) ).
cnf(refute_19_98,plain,
( op(e2,e4) = e4
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_19_66,refute_19_97]) ).
cnf(refute_19_99,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_19_100,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_19_8,refute_19_99]) ).
cnf(refute_19_101,plain,
( e3 = e4
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_19_98,refute_19_100]) ).
cnf(refute_19_102,plain,
e3 != e4,
inference(canonicalize,[],[normalize_19_24]) ).
cnf(refute_19_103,plain,
unit = e4,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_19_101,refute_19_102]) ).
cnf(refute_19_104,plain,
op(e0,unit) = op(e0,unit),
introduced(tautology,[refl,[$fot(op(e0,unit))]]) ).
cnf(refute_19_105,plain,
( op(e0,unit) != op(e0,unit)
| unit != e4
| op(e0,unit) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),op(e0,unit)) ),[1,1],$fot(e4)]]) ).
cnf(refute_19_106,plain,
( unit != e4
| op(e0,unit) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,unit)) )],[refute_19_104,refute_19_105]) ).
cnf(refute_19_107,plain,
op(e0,unit) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_19_103,refute_19_106]) ).
cnf(refute_19_108,plain,
( op(e0,e4) != e1
| op(e0,unit) != op(e0,e4)
| op(e0,unit) = e1 ),
inference(subst,[],[refute_19_38:[bind(X,$fot(op(e0,unit))),bind(Y,$fot(op(e0,e4))),bind(Z,$fot(e1))]]) ).
cnf(refute_19_109,plain,
( op(e0,e4) != e1
| op(e0,unit) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,unit),op(e0,e4)) )],[refute_19_107,refute_19_108]) ).
cnf(refute_19_110,plain,
op(e0,unit) = e1,
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_19_65,refute_19_109]) ).
cnf(refute_19_111,plain,
( op(e0,unit) != e0
| op(e0,unit) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0],$fot(e1)]]) ).
cnf(refute_19_112,plain,
( op(e0,unit) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,unit),e1) )],[refute_19_110,refute_19_111]) ).
cnf(refute_19_113,plain,
e1 = e0,
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_19_0,refute_19_112]) ).
cnf(refute_19_114,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_19_6:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_19_115,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_19_114,refute_19_94]) ).
cnf(refute_19_116,plain,
$false,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_19_113,refute_19_115]) ).
fof(negate_20_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4 )
=> op(op(e4,e0),e4) = e0 ),
inference(negate,[],[subgoal_20]) ).
fof(normalize_20_0,plain,
( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2)
| op(op(e3,e2),e3) = e2 )
& ( op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4)
| op(op(e3,e4),e3) = e4 ) ),
inference(canonicalize,[],[negate_20_0]) ).
fof(normalize_20_1,plain,
op(e0,e4) != op(e4,e0),
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_2,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_20_3,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_4,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_5,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_6,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_7,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_20_2]) ).
fof(normalize_20_8,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_20_9,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_20_8]) ).
fof(normalize_20_10,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_20_8]) ).
fof(normalize_20_11,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_20_12,plain,
e0 != e1,
inference(conjunct,[],[normalize_20_11]) ).
fof(normalize_20_13,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_20_8]) ).
fof(normalize_20_14,plain,
e3 != e4,
inference(conjunct,[],[normalize_20_11]) ).
fof(normalize_20_15,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_20_16,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_20_15]) ).
fof(normalize_20_17,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_20_0]) ).
fof(normalize_20_18,plain,
e1 != e2,
inference(conjunct,[],[normalize_20_11]) ).
fof(normalize_20_19,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_20_2]) ).
cnf(refute_20_0,plain,
op(e0,e4) != op(e4,e0),
inference(canonicalize,[],[normalize_20_1]) ).
cnf(refute_20_1,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_20_3]) ).
cnf(refute_20_2,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_20_4]) ).
cnf(refute_20_3,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_20_5]) ).
cnf(refute_20_4,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_20_6]) ).
cnf(refute_20_5,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_20_7]) ).
cnf(refute_20_6,plain,
( op(unit,e1) != e1
| unit != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_20_7,plain,
( op(unit,e1) != e1
| op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_20_5,refute_20_6]) ).
cnf(refute_20_8,plain,
( op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_20_4,refute_20_7]) ).
cnf(refute_20_9,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_20_9]) ).
cnf(refute_20_10,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_20_10]) ).
cnf(refute_20_11,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_20_12,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_20_13,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_20_11,refute_20_12]) ).
cnf(refute_20_14,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_20_13:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_20_15,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_20_10,refute_20_14]) ).
cnf(refute_20_16,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_20_17,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_20_18,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_20_16,refute_20_17]) ).
cnf(refute_20_19,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_20_15,refute_20_18]) ).
cnf(refute_20_20,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_20_21,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_20_22,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_20_20,refute_20_21]) ).
cnf(refute_20_23,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_20_15,refute_20_22]) ).
cnf(refute_20_24,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_20_25,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_20_13,refute_20_24]) ).
cnf(refute_20_26,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_20_25:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_20_27,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_20_23,refute_20_26]) ).
cnf(refute_20_28,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_20_19,refute_20_27]) ).
cnf(refute_20_29,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_20_30,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_20_28,refute_20_29]) ).
cnf(refute_20_31,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_20_9,refute_20_30]) ).
cnf(refute_20_32,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_20_13:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_20_33,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_20_31,refute_20_32]) ).
cnf(refute_20_34,plain,
( op(e1,e1) != e0
| op(e1,e1) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e1) ),[0],$fot(e0)]]) ).
cnf(refute_20_35,plain,
( op(e1,e1) != e1
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_20_33,refute_20_34]) ).
cnf(refute_20_36,plain,
( e0 = e1
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_20_8,refute_20_35]) ).
cnf(refute_20_37,plain,
e0 != e1,
inference(canonicalize,[],[normalize_20_12]) ).
cnf(refute_20_38,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_20_36,refute_20_37]) ).
cnf(refute_20_39,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_20_40,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_20_38,refute_20_39]) ).
cnf(refute_20_41,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_20_1,refute_20_40]) ).
cnf(refute_20_42,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_20_13]) ).
cnf(refute_20_43,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_20_13:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_20_44,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_20_42,refute_20_43]) ).
cnf(refute_20_45,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_20_46,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_20_44,refute_20_45]) ).
cnf(refute_20_47,plain,
( e3 = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_20_41,refute_20_46]) ).
cnf(refute_20_48,plain,
e3 != e4,
inference(canonicalize,[],[normalize_20_14]) ).
cnf(refute_20_49,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_20_47,refute_20_48]) ).
cnf(refute_20_50,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_20_51,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_20_49,refute_20_50]) ).
cnf(refute_20_52,plain,
( op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_20_3,refute_20_51]) ).
cnf(refute_20_53,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_20_16]) ).
cnf(refute_20_54,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_20_17]) ).
cnf(refute_20_55,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_20_56,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_20_33,refute_20_55]) ).
cnf(refute_20_57,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_20_56,refute_20_54]) ).
cnf(refute_20_58,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_20_59,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_20_58,refute_20_57]) ).
cnf(refute_20_60,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_20_61,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_20_59,refute_20_60]) ).
cnf(refute_20_62,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_20_61,refute_20_53]) ).
cnf(refute_20_63,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_20_13:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_20_64,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_20_63,refute_20_62]) ).
cnf(refute_20_65,plain,
( unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_20_52,refute_20_64]) ).
cnf(refute_20_66,plain,
( op(unit,e2) != e2
| unit != e4
| op(e4,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_20_67,plain,
( op(unit,e2) != e2
| op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_20_65,refute_20_66]) ).
cnf(refute_20_68,plain,
( op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_20_2,refute_20_67]) ).
cnf(refute_20_69,plain,
( op(e4,e2) != e1
| op(e4,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_20_70,plain,
( op(e4,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_20_15,refute_20_69]) ).
cnf(refute_20_71,plain,
( e1 = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_20_68,refute_20_70]) ).
cnf(refute_20_72,plain,
e1 != e2,
inference(canonicalize,[],[normalize_20_18]) ).
cnf(refute_20_73,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_20_71,refute_20_72]) ).
cnf(refute_20_74,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_20_75,plain,
( op(unit,e4) != op(unit,e4)
| unit != e0
| op(unit,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_20_76,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_20_74,refute_20_75]) ).
cnf(refute_20_77,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_20_73,refute_20_76]) ).
cnf(refute_20_78,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_20_79,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_20_77,refute_20_78]) ).
cnf(refute_20_80,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_20_1,refute_20_79]) ).
cnf(refute_20_81,plain,
( e4 != op(e4,e0)
| op(e0,e4) != e4
| op(e0,e4) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[1],$fot(op(e4,e0))]]) ).
cnf(refute_20_82,plain,
( e4 != op(e4,e0)
| op(e0,e4) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_20_80,refute_20_81]) ).
cnf(refute_20_83,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_20_19]) ).
cnf(refute_20_84,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_20_85,plain,
( op(e4,unit) != op(e4,unit)
| unit != e0
| op(e4,unit) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_20_86,plain,
( unit != e0
| op(e4,unit) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_20_84,refute_20_85]) ).
cnf(refute_20_87,plain,
op(e4,unit) = op(e4,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_20_73,refute_20_86]) ).
cnf(refute_20_88,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e0)
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_20_89,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e0)) )],[refute_20_87,refute_20_88]) ).
cnf(refute_20_90,plain,
op(e4,e0) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_20_83,refute_20_89]) ).
cnf(refute_20_91,plain,
( e4 != e4
| op(e4,e0) != e4
| e4 = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e4,e0)) ),[1],$fot(e4)]]) ).
cnf(refute_20_92,plain,
( e4 != e4
| e4 = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_20_90,refute_20_91]) ).
cnf(refute_20_93,plain,
( e4 != e4
| op(e0,e4) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(e4,op(e4,e0)) )],[refute_20_92,refute_20_82]) ).
cnf(refute_20_94,plain,
e4 != e4,
inference(resolve,[$cnf( $equal(op(e0,e4),op(e4,e0)) )],[refute_20_93,refute_20_0]) ).
cnf(refute_20_95,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_20_96,plain,
$false,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_20_95,refute_20_94]) ).
fof(negate_21_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4 )
=> op(op(e4,e1),e4) = e1 ),
inference(negate,[],[subgoal_21]) ).
fof(normalize_21_0,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_21_1,plain,
op(e3,e1) != op(e3,e2),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_2,plain,
( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2)
| op(op(e3,e2),e3) = e2 )
& ( op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4)
| op(op(e3,e4),e3) = e4 )
& ( op(op(e4,e0),e0) != e4
| op(e0,e4) = op(e4,e0)
| op(op(e4,e0),e4) = e0 ) ),
inference(canonicalize,[],[negate_21_0]) ).
fof(normalize_21_3,plain,
op(op(e4,e1),e1) = e4,
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_4,plain,
( ( 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(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = 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(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = 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(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_21_5,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_6,plain,
op(e2,e1) != op(e2,e4),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_7,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_21_8,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_21_7]) ).
fof(normalize_21_9,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_21_7]) ).
fof(normalize_21_10,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_21_7]) ).
fof(normalize_21_11,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_21_12,plain,
e0 != e3,
inference(conjunct,[],[normalize_21_11]) ).
fof(normalize_21_13,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_21_14,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_21_13]) ).
fof(normalize_21_15,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_21_13]) ).
fof(normalize_21_16,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_21_13]) ).
fof(normalize_21_17,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_21_13]) ).
fof(normalize_21_18,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_21_13]) ).
fof(normalize_21_19,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_21_13]) ).
fof(normalize_21_20,plain,
op(e0,e1) != op(e1,e1),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_21,plain,
e1 != e4,
inference(conjunct,[],[normalize_21_11]) ).
fof(normalize_21_22,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_23,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_24,plain,
e1 != e2,
inference(conjunct,[],[normalize_21_11]) ).
fof(normalize_21_25,plain,
e1 != e3,
inference(conjunct,[],[normalize_21_11]) ).
fof(normalize_21_26,plain,
op(e3,e0) != op(e3,e1),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_27,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_21_13]) ).
fof(normalize_21_28,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_29,plain,
( op(e2,e2) != e4
| op(e2,e4) = e2 ),
inference(conjunct,[],[normalize_21_2]) ).
fof(normalize_21_30,plain,
e2 != e3,
inference(conjunct,[],[normalize_21_11]) ).
fof(normalize_21_31,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(conjunct,[],[normalize_21_4]) ).
fof(normalize_21_32,plain,
op(e2,e2) != op(e2,e4),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_33,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_21_0]) ).
fof(normalize_21_34,plain,
e2 != e4,
inference(conjunct,[],[normalize_21_11]) ).
fof(normalize_21_35,plain,
e3 != e4,
inference(conjunct,[],[normalize_21_11]) ).
cnf(refute_21_0,plain,
op(e3,e1) != op(e3,e2),
inference(canonicalize,[],[normalize_21_1]) ).
cnf(refute_21_1,plain,
op(op(e4,e1),e1) = e4,
inference(canonicalize,[],[normalize_21_3]) ).
cnf(refute_21_2,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(canonicalize,[],[normalize_21_5]) ).
cnf(refute_21_3,plain,
op(e2,e1) != op(e2,e4),
inference(canonicalize,[],[normalize_21_6]) ).
cnf(refute_21_4,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_21_8]) ).
cnf(refute_21_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_21_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_21_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_21_5,refute_21_6]) ).
cnf(refute_21_8,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_21_7:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_21_9,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_21_4,refute_21_8]) ).
cnf(refute_21_10,plain,
( op(e2,e1) != e3
| op(e2,e4) != e3
| op(e2,e1) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e1),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_21_11,plain,
( op(e2,e1) != e3
| op(e2,e1) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_21_9,refute_21_10]) ).
cnf(refute_21_12,plain,
op(e2,e1) != e3,
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e4)) )],[refute_21_11,refute_21_3]) ).
cnf(refute_21_13,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e3) )],[refute_21_2,refute_21_12]) ).
cnf(refute_21_14,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_21_9]) ).
cnf(refute_21_15,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_21_10]) ).
cnf(refute_21_16,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_21_7:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_21_17,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_21_15,refute_21_16]) ).
cnf(refute_21_18,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_21_19,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_21_20,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_21_18,refute_21_19]) ).
cnf(refute_21_21,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_21_17,refute_21_20]) ).
cnf(refute_21_22,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_21_23,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_21_24,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_21_22,refute_21_23]) ).
cnf(refute_21_25,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_21_17,refute_21_24]) ).
cnf(refute_21_26,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_21_27,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_21_7,refute_21_26]) ).
cnf(refute_21_28,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_21_27:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_21_29,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_21_25,refute_21_28]) ).
cnf(refute_21_30,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_21_21,refute_21_29]) ).
cnf(refute_21_31,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_21_32,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_21_30,refute_21_31]) ).
cnf(refute_21_33,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_21_14,refute_21_32]) ).
cnf(refute_21_34,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_21_7:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_21_35,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_21_33,refute_21_34]) ).
cnf(refute_21_36,plain,
( op(e1,e1) != e0
| op(e1,e1) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e3) ),[0],$fot(e0)]]) ).
cnf(refute_21_37,plain,
( op(e1,e1) != e3
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_21_35,refute_21_36]) ).
cnf(refute_21_38,plain,
( e0 = e3
| op(e0,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_21_13,refute_21_37]) ).
cnf(refute_21_39,plain,
e0 != e3,
inference(canonicalize,[],[normalize_21_12]) ).
cnf(refute_21_40,plain,
( op(e0,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_21_38,refute_21_39]) ).
cnf(refute_21_41,plain,
( op(e4,e1) != e3
| op(op(e4,e1),e1) != e4
| op(e3,e1) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e1),e1),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_21_42,plain,
( op(op(e4,e1),e1) != e4
| op(e0,e1) = e3
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_21_40,refute_21_41]) ).
cnf(refute_21_43,plain,
( op(e0,e1) = e3
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e1),e1),e4) )],[refute_21_1,refute_21_42]) ).
cnf(refute_21_44,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_21_14]) ).
cnf(refute_21_45,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_21_15]) ).
cnf(refute_21_46,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_21_16]) ).
cnf(refute_21_47,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_21_17]) ).
cnf(refute_21_48,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_21_18]) ).
cnf(refute_21_49,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_21_19]) ).
cnf(refute_21_50,plain,
( op(e0,unit) != e0
| unit != e1
| op(e0,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0,1],$fot(e1)]]) ).
cnf(refute_21_51,plain,
( op(e0,unit) != e0
| op(e0,e1) = e0
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_21_49,refute_21_50]) ).
cnf(refute_21_52,plain,
( op(e0,e1) = e0
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_21_48,refute_21_51]) ).
cnf(refute_21_53,plain,
op(e0,e1) != op(e1,e1),
inference(canonicalize,[],[normalize_21_20]) ).
cnf(refute_21_54,plain,
( op(e0,e1) != e0
| op(e1,e1) != e0
| op(e0,e1) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e1),op(e1,e1)) ),[1],$fot(e0)]]) ).
cnf(refute_21_55,plain,
( op(e0,e1) != e0
| op(e0,e1) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_21_35,refute_21_54]) ).
cnf(refute_21_56,plain,
op(e0,e1) != e0,
inference(resolve,[$cnf( $equal(op(e0,e1),op(e1,e1)) )],[refute_21_55,refute_21_53]) ).
cnf(refute_21_57,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e0) )],[refute_21_52,refute_21_56]) ).
cnf(refute_21_58,plain,
( op(e4,unit) != e4
| unit != e2
| op(e4,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0,1],$fot(e2)]]) ).
cnf(refute_21_59,plain,
( op(e4,unit) != e4
| op(e4,e2) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_21_57,refute_21_58]) ).
cnf(refute_21_60,plain,
( op(e4,e2) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_21_47,refute_21_59]) ).
cnf(refute_21_61,plain,
( op(e4,e2) != e1
| op(e4,e2) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e4) ),[0],$fot(e1)]]) ).
cnf(refute_21_62,plain,
( op(e4,e2) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_21_17,refute_21_61]) ).
cnf(refute_21_63,plain,
( e1 = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_21_60,refute_21_62]) ).
cnf(refute_21_64,plain,
e1 != e4,
inference(canonicalize,[],[normalize_21_21]) ).
cnf(refute_21_65,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_21_63,refute_21_64]) ).
cnf(refute_21_66,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_21_67,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_21_65,refute_21_66]) ).
cnf(refute_21_68,plain,
( op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_21_46,refute_21_67]) ).
cnf(refute_21_69,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_21_22]) ).
cnf(refute_21_70,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_21_23]) ).
cnf(refute_21_71,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_21_72,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_21_35,refute_21_71]) ).
cnf(refute_21_73,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_21_72,refute_21_70]) ).
cnf(refute_21_74,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_21_75,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_21_74,refute_21_73]) ).
cnf(refute_21_76,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_21_77,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_21_75,refute_21_76]) ).
cnf(refute_21_78,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_21_77,refute_21_69]) ).
cnf(refute_21_79,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_21_7:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_21_80,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_21_79,refute_21_78]) ).
cnf(refute_21_81,plain,
( unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_21_68,refute_21_80]) ).
cnf(refute_21_82,plain,
( op(unit,e2) != e2
| unit != e4
| op(e4,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_21_83,plain,
( op(unit,e2) != e2
| op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_21_81,refute_21_82]) ).
cnf(refute_21_84,plain,
( op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_21_45,refute_21_83]) ).
cnf(refute_21_85,plain,
( op(e4,e2) != e1
| op(e4,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_21_86,plain,
( op(e4,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_21_17,refute_21_85]) ).
cnf(refute_21_87,plain,
( e1 = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_21_84,refute_21_86]) ).
cnf(refute_21_88,plain,
e1 != e2,
inference(canonicalize,[],[normalize_21_24]) ).
cnf(refute_21_89,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_21_87,refute_21_88]) ).
cnf(refute_21_90,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_21_91,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_21_92,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_21_90,refute_21_91]) ).
cnf(refute_21_93,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_89,refute_21_92]) ).
cnf(refute_21_94,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_21_95,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_21_93,refute_21_94]) ).
cnf(refute_21_96,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_21_44,refute_21_95]) ).
cnf(refute_21_97,plain,
( op(e0,e1) != e1
| op(e0,e1) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e3) ),[0],$fot(e1)]]) ).
cnf(refute_21_98,plain,
( op(e0,e1) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_21_96,refute_21_97]) ).
cnf(refute_21_99,plain,
( e1 = e3
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e3) )],[refute_21_43,refute_21_98]) ).
cnf(refute_21_100,plain,
e1 != e3,
inference(canonicalize,[],[normalize_21_25]) ).
cnf(refute_21_101,plain,
( op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_21_99,refute_21_100]) ).
cnf(refute_21_102,plain,
op(e3,e0) != op(e3,e1),
inference(canonicalize,[],[normalize_21_26]) ).
cnf(refute_21_103,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_21_27]) ).
cnf(refute_21_104,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_21_105,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_21_106,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_21_104,refute_21_105]) ).
cnf(refute_21_107,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_89,refute_21_106]) ).
cnf(refute_21_108,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_21_109,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_21_107,refute_21_108]) ).
cnf(refute_21_110,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_21_103,refute_21_109]) ).
cnf(refute_21_111,plain,
( e3 != op(e3,e1)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e1))]]) ).
cnf(refute_21_112,plain,
( e3 != op(e3,e1)
| op(e3,e0) = op(e3,e1) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_21_110,refute_21_111]) ).
cnf(refute_21_113,plain,
e3 != op(e3,e1),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e1)) )],[refute_21_112,refute_21_102]) ).
cnf(refute_21_114,plain,
( op(e3,e1) != e3
| e3 = op(e3,e1) ),
inference(subst,[],[refute_21_7:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(e3))]]) ).
cnf(refute_21_115,plain,
op(e3,e1) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e1)) )],[refute_21_114,refute_21_113]) ).
cnf(refute_21_116,plain,
op(e3,e1) = e4,
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_21_101,refute_21_115]) ).
cnf(refute_21_117,plain,
( e4 != op(e3,e2)
| op(e3,e1) != e4
| op(e3,e1) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e4) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_21_118,plain,
( e4 != op(e3,e2)
| op(e3,e1) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_21_116,refute_21_117]) ).
cnf(refute_21_119,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(canonicalize,[],[normalize_21_28]) ).
cnf(refute_21_120,plain,
( e1 = e4
| op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_21_119,refute_21_62]) ).
cnf(refute_21_121,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_21_120,refute_21_64]) ).
cnf(refute_21_122,plain,
( op(e2,e2) != e4
| op(e2,e4) = e2 ),
inference(canonicalize,[],[normalize_21_29]) ).
cnf(refute_21_123,plain,
( op(e2,e4) != e2
| op(e2,e4) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e2) ),[0],$fot(e3)]]) ).
cnf(refute_21_124,plain,
( op(e2,e4) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_21_9,refute_21_123]) ).
cnf(refute_21_125,plain,
( op(e2,e2) != e4
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e2) )],[refute_21_122,refute_21_124]) ).
cnf(refute_21_126,plain,
e2 != e3,
inference(canonicalize,[],[normalize_21_30]) ).
cnf(refute_21_127,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_21_7:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_21_128,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_21_127,refute_21_126]) ).
cnf(refute_21_129,plain,
op(e2,e2) != e4,
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_21_125,refute_21_128]) ).
cnf(refute_21_130,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e4) )],[refute_21_121,refute_21_129]) ).
cnf(refute_21_131,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_21_132,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_21_133,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_21_131,refute_21_132]) ).
cnf(refute_21_134,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_21_89,refute_21_133]) ).
cnf(refute_21_135,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_21_136,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_21_134,refute_21_135]) ).
cnf(refute_21_137,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_21_45,refute_21_136]) ).
cnf(refute_21_138,plain,
( op(e0,e2) != e2
| op(e0,e2) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e4) ),[0],$fot(e2)]]) ).
cnf(refute_21_139,plain,
( op(e0,e2) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_21_137,refute_21_138]) ).
cnf(refute_21_140,plain,
( e2 = e4
| op(e1,e2) = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e4) )],[refute_21_130,refute_21_139]) ).
cnf(refute_21_141,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(canonicalize,[],[normalize_21_31]) ).
cnf(refute_21_142,plain,
( op(e4,e2) != e1
| op(e4,e2) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e3) ),[0],$fot(e1)]]) ).
cnf(refute_21_143,plain,
( op(e4,e2) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_21_17,refute_21_142]) ).
cnf(refute_21_144,plain,
( e1 = e3
| op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_21_141,refute_21_143]) ).
cnf(refute_21_145,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_21_144,refute_21_100]) ).
cnf(refute_21_146,plain,
op(e2,e2) != op(e2,e4),
inference(canonicalize,[],[normalize_21_32]) ).
cnf(refute_21_147,plain,
( op(e2,e2) != e3
| op(e2,e4) != e3
| op(e2,e2) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e2),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_21_148,plain,
( op(e2,e2) != e3
| op(e2,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_21_9,refute_21_147]) ).
cnf(refute_21_149,plain,
op(e2,e2) != e3,
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e4)) )],[refute_21_148,refute_21_146]) ).
cnf(refute_21_150,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_21_145,refute_21_149]) ).
cnf(refute_21_151,plain,
( op(e0,e2) != e2
| op(e0,e2) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e3) ),[0],$fot(e2)]]) ).
cnf(refute_21_152,plain,
( op(e0,e2) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_21_137,refute_21_151]) ).
cnf(refute_21_153,plain,
( e2 = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_21_150,refute_21_152]) ).
cnf(refute_21_154,plain,
( op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_21_153,refute_21_126]) ).
cnf(refute_21_155,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_21_33]) ).
cnf(refute_21_156,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_21_157,plain,
( e3 != op(e3,e2)
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_21_110,refute_21_156]) ).
cnf(refute_21_158,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_21_157,refute_21_155]) ).
cnf(refute_21_159,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_21_7:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_21_160,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_21_159,refute_21_158]) ).
cnf(refute_21_161,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_21_154,refute_21_160]) ).
cnf(refute_21_162,plain,
( op(e1,e2) != e3
| op(e1,e2) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e4) ),[0],$fot(e3)]]) ).
cnf(refute_21_163,plain,
( op(e1,e2) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_21_161,refute_21_162]) ).
cnf(refute_21_164,plain,
( e2 = e4
| e3 = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_21_140,refute_21_163]) ).
cnf(refute_21_165,plain,
e2 != e4,
inference(canonicalize,[],[normalize_21_34]) ).
cnf(refute_21_166,plain,
( e3 = e4
| op(e3,e2) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_21_164,refute_21_165]) ).
cnf(refute_21_167,plain,
e3 != e4,
inference(canonicalize,[],[normalize_21_35]) ).
cnf(refute_21_168,plain,
op(e3,e2) = e4,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_21_166,refute_21_167]) ).
cnf(refute_21_169,plain,
( e4 != e4
| op(e3,e2) != e4
| e4 = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e4,op(e3,e2)) ),[1],$fot(e4)]]) ).
cnf(refute_21_170,plain,
( e4 != e4
| e4 = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e2),e4) )],[refute_21_168,refute_21_169]) ).
cnf(refute_21_171,plain,
( e4 != e4
| op(e3,e1) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(e4,op(e3,e2)) )],[refute_21_170,refute_21_118]) ).
cnf(refute_21_172,plain,
e4 != e4,
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e2)) )],[refute_21_171,refute_21_0]) ).
cnf(refute_21_173,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_21_174,plain,
$false,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_21_173,refute_21_172]) ).
fof(negate_22_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4 )
=> op(op(e4,e2),e4) = e2 ),
inference(negate,[],[subgoal_22]) ).
fof(normalize_22_0,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_22_1,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(conjunct,[],[normalize_22_0]) ).
fof(normalize_22_2,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_22_3,plain,
op(e1,e4) != op(e2,e4),
inference(conjunct,[],[normalize_22_2]) ).
fof(normalize_22_4,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_22_5,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_6,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_22_2]) ).
fof(normalize_22_7,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_8,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_22_4]) ).
fof(normalize_22_9,plain,
op(e1,e0) != op(e1,e4),
inference(conjunct,[],[normalize_22_2]) ).
fof(normalize_22_10,plain,
( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2)
| op(op(e3,e2),e3) = e2 )
& ( op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4)
| op(op(e3,e4),e3) = e4 )
& ( op(op(e4,e0),e0) != e4
| op(e0,e4) = op(e4,e0)
| op(op(e4,e0),e4) = e0 )
& ( op(op(e4,e1),e1) != e4
| op(e1,e4) = op(e4,e1)
| op(op(e4,e1),e4) = e1 ) ),
inference(canonicalize,[],[negate_22_0]) ).
fof(normalize_22_11,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_22_10]) ).
fof(normalize_22_12,plain,
op(op(e4,e2),e4) != e2,
inference(conjunct,[],[normalize_22_10]) ).
fof(normalize_22_13,plain,
op(e1,e2) != op(e1,e4),
inference(conjunct,[],[normalize_22_2]) ).
fof(normalize_22_14,plain,
op(op(e4,e2),e2) = e4,
inference(conjunct,[],[normalize_22_10]) ).
cnf(refute_22_0,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(canonicalize,[],[normalize_22_1]) ).
cnf(refute_22_1,plain,
op(e1,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_22_3]) ).
cnf(refute_22_2,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_22_5]) ).
cnf(refute_22_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_22_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_22_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_22_3,refute_22_4]) ).
cnf(refute_22_6,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_22_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_22_7,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_22_2,refute_22_6]) ).
cnf(refute_22_8,plain,
( op(e1,e4) != e3
| op(e2,e4) != e3
| op(e1,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_22_9,plain,
( op(e1,e4) != e3
| op(e1,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_22_7,refute_22_8]) ).
cnf(refute_22_10,plain,
op(e1,e4) != e3,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e2,e4)) )],[refute_22_9,refute_22_1]) ).
cnf(refute_22_11,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_22_0,refute_22_10]) ).
cnf(refute_22_12,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_22_6]) ).
cnf(refute_22_13,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_22_7]) ).
cnf(refute_22_14,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_22_8]) ).
cnf(refute_22_15,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_22_5:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_22_16,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_22_14,refute_22_15]) ).
cnf(refute_22_17,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_22_18,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_22_19,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_22_17,refute_22_18]) ).
cnf(refute_22_20,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_22_16,refute_22_19]) ).
cnf(refute_22_21,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_22_22,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_22_23,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_22_21,refute_22_22]) ).
cnf(refute_22_24,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_22_16,refute_22_23]) ).
cnf(refute_22_25,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_22_26,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_22_5,refute_22_25]) ).
cnf(refute_22_27,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_22_26:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_22_28,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_22_24,refute_22_27]) ).
cnf(refute_22_29,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_22_20,refute_22_28]) ).
cnf(refute_22_30,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_22_31,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_22_29,refute_22_30]) ).
cnf(refute_22_32,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_22_13,refute_22_31]) ).
cnf(refute_22_33,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_22_5:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_22_34,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_22_32,refute_22_33]) ).
cnf(refute_22_35,plain,
( e0 != op(e1,e4)
| op(e1,e1) != e0
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_22_36,plain,
( e0 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_22_34,refute_22_35]) ).
cnf(refute_22_37,plain,
e0 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_22_36,refute_22_12]) ).
cnf(refute_22_38,plain,
( op(e1,e4) != e0
| e0 = op(e1,e4) ),
inference(subst,[],[refute_22_5:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e0))]]) ).
cnf(refute_22_39,plain,
op(e1,e4) != e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_22_38,refute_22_37]) ).
cnf(refute_22_40,plain,
( op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_22_11,refute_22_39]) ).
cnf(refute_22_41,plain,
op(e1,e0) != op(e1,e4),
inference(canonicalize,[],[normalize_22_9]) ).
cnf(refute_22_42,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_22_11]) ).
cnf(refute_22_43,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_22_44,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_22_34,refute_22_43]) ).
cnf(refute_22_45,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_22_44,refute_22_42]) ).
cnf(refute_22_46,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_22_47,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_22_46,refute_22_45]) ).
cnf(refute_22_48,plain,
( e1 != op(e1,e4)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_22_49,plain,
( e1 != op(e1,e4)
| op(e1,e0) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_22_47,refute_22_48]) ).
cnf(refute_22_50,plain,
e1 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e4)) )],[refute_22_49,refute_22_41]) ).
cnf(refute_22_51,plain,
( op(e1,e4) != e1
| e1 = op(e1,e4) ),
inference(subst,[],[refute_22_5:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e1))]]) ).
cnf(refute_22_52,plain,
op(e1,e4) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e4)) )],[refute_22_51,refute_22_50]) ).
cnf(refute_22_53,plain,
( op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_22_40,refute_22_52]) ).
cnf(refute_22_54,plain,
op(op(e4,e2),e4) != e2,
inference(canonicalize,[],[normalize_22_12]) ).
cnf(refute_22_55,plain,
op(op(e4,e2),e4) = op(op(e4,e2),e4),
introduced(tautology,[refl,[$fot(op(op(e4,e2),e4))]]) ).
cnf(refute_22_56,plain,
( op(e4,e2) != e1
| op(op(e4,e2),e4) != op(op(e4,e2),e4)
| op(op(e4,e2),e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),e4),op(op(e4,e2),e4)) ),[1,0],$fot(e1)]]) ).
cnf(refute_22_57,plain,
( op(e4,e2) != e1
| op(op(e4,e2),e4) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e4),op(op(e4,e2),e4)) )],[refute_22_55,refute_22_56]) ).
cnf(refute_22_58,plain,
op(op(e4,e2),e4) = op(e1,e4),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_22_16,refute_22_57]) ).
cnf(refute_22_59,plain,
( op(e1,e4) != e2
| op(op(e4,e2),e4) != op(e1,e4)
| op(op(e4,e2),e4) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),e4),op(e1,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_22_60,plain,
( op(e1,e4) != e2
| op(op(e4,e2),e4) = e2 ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e4),op(e1,e4)) )],[refute_22_58,refute_22_59]) ).
cnf(refute_22_61,plain,
op(e1,e4) != e2,
inference(resolve,[$cnf( $equal(op(op(e4,e2),e4),e2) )],[refute_22_60,refute_22_54]) ).
cnf(refute_22_62,plain,
op(e1,e4) = e4,
inference(resolve,[$cnf( $equal(op(e1,e4),e2) )],[refute_22_53,refute_22_61]) ).
cnf(refute_22_63,plain,
op(e1,e2) != op(e1,e4),
inference(canonicalize,[],[normalize_22_13]) ).
cnf(refute_22_64,plain,
op(op(e4,e2),e2) = e4,
inference(canonicalize,[],[normalize_22_14]) ).
cnf(refute_22_65,plain,
op(op(e4,e2),e2) = op(op(e4,e2),e2),
introduced(tautology,[refl,[$fot(op(op(e4,e2),e2))]]) ).
cnf(refute_22_66,plain,
( op(e4,e2) != e1
| op(op(e4,e2),e2) != op(op(e4,e2),e2)
| op(op(e4,e2),e2) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),e2),op(op(e4,e2),e2)) ),[1,0],$fot(e1)]]) ).
cnf(refute_22_67,plain,
( op(e4,e2) != e1
| op(op(e4,e2),e2) = op(e1,e2) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),op(op(e4,e2),e2)) )],[refute_22_65,refute_22_66]) ).
cnf(refute_22_68,plain,
op(op(e4,e2),e2) = op(e1,e2),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_22_16,refute_22_67]) ).
cnf(refute_22_69,plain,
( op(op(e4,e2),e2) != e4
| op(op(e4,e2),e2) != op(e1,e2)
| op(e1,e2) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),e2),e4) ),[0],$fot(op(e1,e2))]]) ).
cnf(refute_22_70,plain,
( op(op(e4,e2),e2) != e4
| op(e1,e2) = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),op(e1,e2)) )],[refute_22_68,refute_22_69]) ).
cnf(refute_22_71,plain,
op(e1,e2) = e4,
inference(resolve,[$cnf( $equal(op(op(e4,e2),e2),e4) )],[refute_22_64,refute_22_70]) ).
cnf(refute_22_72,plain,
( e4 != op(e1,e4)
| op(e1,e2) != e4
| op(e1,e2) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e4) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_22_73,plain,
( e4 != op(e1,e4)
| op(e1,e2) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e4) )],[refute_22_71,refute_22_72]) ).
cnf(refute_22_74,plain,
e4 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e4)) )],[refute_22_73,refute_22_63]) ).
cnf(refute_22_75,plain,
( op(e1,e4) != e4
| e4 = op(e1,e4) ),
inference(subst,[],[refute_22_5:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e4))]]) ).
cnf(refute_22_76,plain,
op(e1,e4) != e4,
inference(resolve,[$cnf( $equal(e4,op(e1,e4)) )],[refute_22_75,refute_22_74]) ).
cnf(refute_22_77,plain,
$false,
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_22_62,refute_22_76]) ).
fof(negate_23_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& ~ ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
& op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4 )
=> op(op(e4,e3),e4) = e3 ),
inference(negate,[],[subgoal_23]) ).
fof(normalize_23_0,plain,
( ( 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(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = 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(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = 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(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_23_1,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_2,plain,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_23_3,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_4,plain,
e1 = op(e4,e2),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_5,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_23_6,plain,
e0 != e2,
inference(conjunct,[],[normalize_23_5]) ).
fof(normalize_23_7,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(e4,unit) = e4
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& op(unit,e4) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_23_8,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_9,plain,
op(unit,e2) = e2,
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_10,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_11,plain,
op(unit,e4) = e4,
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_12,plain,
op(unit,e0) = e0,
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_13,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_14,plain,
( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1)
| op(op(e0,e1),e0) = e1 )
& ( op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2)
| op(op(e0,e2),e0) = e2 )
& ( op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3)
| op(op(e0,e3),e0) = e3 )
& ( op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4)
| op(op(e0,e4),e0) = e4 )
& ( op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0)
| op(op(e1,e0),e1) = e0 )
& ( op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2)
| op(op(e1,e2),e1) = e2 )
& ( op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3)
| op(op(e1,e3),e1) = e3 )
& ( op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4)
| op(op(e1,e4),e1) = e4 )
& ( op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0)
| op(op(e2,e0),e2) = e0 )
& ( op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1)
| op(op(e2,e1),e2) = e1 )
& ( op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3)
| op(op(e2,e3),e2) = e3 )
& ( op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4)
| op(op(e2,e4),e2) = e4 )
& ( op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0)
| op(op(e3,e0),e3) = e0 )
& ( op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1)
| op(op(e3,e1),e3) = e1 )
& ( op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2)
| op(op(e3,e2),e3) = e2 )
& ( op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4)
| op(op(e3,e4),e3) = e4 )
& ( op(op(e4,e0),e0) != e4
| op(e0,e4) = op(e4,e0)
| op(op(e4,e0),e4) = e0 )
& ( op(op(e4,e1),e1) != e4
| op(e1,e4) = op(e4,e1)
| op(op(e4,e1),e4) = e1 )
& ( op(op(e4,e2),e2) != e4
| op(e2,e4) = op(e4,e2)
| op(op(e4,e2),e4) = e2 ) ),
inference(canonicalize,[],[negate_23_0]) ).
fof(normalize_23_15,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(conjunct,[],[normalize_23_14]) ).
fof(normalize_23_16,plain,
e0 != e1,
inference(conjunct,[],[normalize_23_5]) ).
fof(normalize_23_17,plain,
e3 = op(e2,e4),
inference(conjunct,[],[normalize_23_2]) ).
fof(normalize_23_18,plain,
e3 != e4,
inference(conjunct,[],[normalize_23_5]) ).
fof(normalize_23_19,plain,
( 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,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& 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(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& 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(e0,e3) != op(e0,e4)
& 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(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,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e3) != op(e1,e4)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,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,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e3) != op(e2,e4)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,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,e0) != op(e4,e0)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e4,e2)
& op(e3,e3) != op(e3,e4)
& op(e3,e3) != op(e4,e3)
& op(e3,e4) != op(e4,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) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_23_20,plain,
op(e1,e0) != op(e1,e3),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_21,plain,
e1 != e2,
inference(conjunct,[],[normalize_23_5]) ).
fof(normalize_23_22,plain,
op(op(e4,e3),e3) = e4,
inference(conjunct,[],[normalize_23_14]) ).
fof(normalize_23_23,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_24,plain,
e1 != e3,
inference(conjunct,[],[normalize_23_5]) ).
fof(normalize_23_25,plain,
op(e2,e4) != op(e4,e4),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_26,plain,
( op(e3,e3) != e4
| op(e3,e4) = e3 ),
inference(conjunct,[],[normalize_23_14]) ).
fof(normalize_23_27,plain,
op(e2,e4) != op(e3,e4),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_28,plain,
op(e4,unit) = e4,
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_29,plain,
e2 != e3,
inference(conjunct,[],[normalize_23_5]) ).
fof(normalize_23_30,plain,
op(e2,e0) != op(e2,e1),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_31,plain,
op(e2,unit) = e2,
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_32,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_23_33,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(conjunct,[],[normalize_23_32]) ).
fof(normalize_23_34,plain,
op(e4,e2) != op(e4,e3),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_35,plain,
op(e4,e3) != op(e4,e4),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_36,plain,
op(e4,e0) != op(e4,e4),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_37,plain,
( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ),
inference(conjunct,[],[normalize_23_32]) ).
fof(normalize_23_38,plain,
op(e4,e2) != op(e4,e4),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_39,plain,
( op(e4,e4) != e2
| op(e4,e2) = e4 ),
inference(conjunct,[],[normalize_23_14]) ).
fof(normalize_23_40,plain,
e1 != e4,
inference(conjunct,[],[normalize_23_5]) ).
fof(normalize_23_41,plain,
op(e4,e1) != op(e4,e3),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_42,plain,
op(e1,e3) != op(e4,e3),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_43,plain,
op(e1,e3) != op(e1,e4),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_44,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(conjunct,[],[normalize_23_32]) ).
fof(normalize_23_45,plain,
op(e1,e4) != op(e2,e4),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_46,plain,
op(e1,e1) != op(e1,e4),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_47,plain,
op(e1,e0) != op(e1,e4),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_48,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(conjunct,[],[normalize_23_32]) ).
fof(normalize_23_49,plain,
op(e1,e1) != op(e1,e3),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_50,plain,
op(e0,e4) != op(e1,e4),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_51,plain,
e2 != e4,
inference(conjunct,[],[normalize_23_5]) ).
fof(normalize_23_52,plain,
op(e1,e2) != op(e1,e3),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_53,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_54,plain,
op(e2,e2) != op(e2,e4),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_55,plain,
op(e3,e0) != op(e3,e2),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_56,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_57,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 ),
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_58,plain,
op(unit,e3) = e3,
inference(conjunct,[],[normalize_23_7]) ).
fof(normalize_23_59,plain,
op(e3,e3) != op(e3,e4),
inference(conjunct,[],[normalize_23_19]) ).
fof(normalize_23_60,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_61,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
inference(conjunct,[],[normalize_23_0]) ).
fof(normalize_23_62,plain,
e0 != e4,
inference(conjunct,[],[normalize_23_5]) ).
fof(normalize_23_63,plain,
e0 != e3,
inference(conjunct,[],[normalize_23_5]) ).
cnf(refute_23_0,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(canonicalize,[],[normalize_23_1]) ).
cnf(refute_23_1,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(canonicalize,[],[normalize_23_3]) ).
cnf(refute_23_2,plain,
e1 = op(e4,e2),
inference(canonicalize,[],[normalize_23_4]) ).
cnf(refute_23_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_23_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_23_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_23_3,refute_23_4]) ).
cnf(refute_23_6,plain,
( e1 != op(e4,e2)
| op(e4,e2) = e1 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e1)),bind(Y,$fot(op(e4,e2)))]]) ).
cnf(refute_23_7,plain,
op(e4,e2) = e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e2)) )],[refute_23_2,refute_23_6]) ).
cnf(refute_23_8,plain,
op(e1,op(e4,e2)) = op(e1,op(e4,e2)),
introduced(tautology,[refl,[$fot(op(e1,op(e4,e2)))]]) ).
cnf(refute_23_9,plain,
( op(e1,op(e4,e2)) != op(e1,op(e4,e2))
| op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_23_10,plain,
( op(e4,e2) != e1
| op(e1,op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,op(e4,e2))) )],[refute_23_8,refute_23_9]) ).
cnf(refute_23_11,plain,
op(e1,op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_23_7,refute_23_10]) ).
cnf(refute_23_12,plain,
op(op(e4,e2),op(e4,e2)) = op(op(e4,e2),op(e4,e2)),
introduced(tautology,[refl,[$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_23_13,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) ),[1,0],$fot(e1)]]) ).
cnf(refute_23_14,plain,
( op(e4,e2) != e1
| op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(op(e4,e2),op(e4,e2))) )],[refute_23_12,refute_23_13]) ).
cnf(refute_23_15,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,op(e4,e2)),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_23_7,refute_23_14]) ).
cnf(refute_23_16,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_23_17,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_23_5,refute_23_16]) ).
cnf(refute_23_18,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) != op(e1,op(e4,e2))
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(subst,[],[refute_23_17:[bind(X,$fot(op(op(e4,e2),op(e4,e2)))),bind(Y,$fot(op(e1,op(e4,e2)))),bind(Z,$fot(op(e1,e1)))]]) ).
cnf(refute_23_19,plain,
( op(e1,op(e4,e2)) != op(e1,e1)
| op(op(e4,e2),op(e4,e2)) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,op(e4,e2))) )],[refute_23_15,refute_23_18]) ).
cnf(refute_23_20,plain,
op(op(e4,e2),op(e4,e2)) = op(e1,e1),
inference(resolve,[$cnf( $equal(op(e1,op(e4,e2)),op(e1,e1)) )],[refute_23_11,refute_23_19]) ).
cnf(refute_23_21,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| op(op(e4,e2),op(e4,e2)) != op(e1,e1)
| e0 = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e1,e1)) ),[0],$fot(op(op(e4,e2),op(e4,e2)))]]) ).
cnf(refute_23_22,plain,
( e0 != op(op(e4,e2),op(e4,e2))
| e0 = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(op(e4,e2),op(e4,e2)),op(e1,e1)) )],[refute_23_20,refute_23_21]) ).
cnf(refute_23_23,plain,
e0 = op(e1,e1),
inference(resolve,[$cnf( $equal(e0,op(op(e4,e2),op(e4,e2))) )],[refute_23_1,refute_23_22]) ).
cnf(refute_23_24,plain,
( e0 != op(e1,e1)
| op(e1,e1) = e0 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e0)),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_23_25,plain,
op(e1,e1) = e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e1)) )],[refute_23_23,refute_23_24]) ).
cnf(refute_23_26,plain,
( op(e1,e1) != e0
| op(e1,e1) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e2) ),[0],$fot(e0)]]) ).
cnf(refute_23_27,plain,
( op(e1,e1) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_23_25,refute_23_26]) ).
cnf(refute_23_28,plain,
( e0 = e2
| op(e0,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e2) )],[refute_23_0,refute_23_27]) ).
cnf(refute_23_29,plain,
e0 != e2,
inference(canonicalize,[],[normalize_23_6]) ).
cnf(refute_23_30,plain,
( op(e0,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_23_28,refute_23_29]) ).
cnf(refute_23_31,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_23_8]) ).
cnf(refute_23_32,plain,
op(unit,e2) = e2,
inference(canonicalize,[],[normalize_23_9]) ).
cnf(refute_23_33,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_23_10]) ).
cnf(refute_23_34,plain,
op(unit,e4) = e4,
inference(canonicalize,[],[normalize_23_11]) ).
cnf(refute_23_35,plain,
op(unit,e0) = e0,
inference(canonicalize,[],[normalize_23_12]) ).
cnf(refute_23_36,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(canonicalize,[],[normalize_23_13]) ).
cnf(refute_23_37,plain,
( op(unit,e0) != e0
| unit != e1
| op(e1,e0) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e0),e0) ),[0,0],$fot(e1)]]) ).
cnf(refute_23_38,plain,
( op(unit,e0) != e0
| op(e1,e0) = e0
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_23_36,refute_23_37]) ).
cnf(refute_23_39,plain,
( op(e1,e0) = e0
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e0),e0) )],[refute_23_35,refute_23_38]) ).
cnf(refute_23_40,plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(canonicalize,[],[normalize_23_15]) ).
cnf(refute_23_41,plain,
( e0 != e0
| op(e1,e1) != e0
| op(e1,e1) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(e0)]]) ).
cnf(refute_23_42,plain,
( e0 != e0
| op(e1,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_23_25,refute_23_41]) ).
cnf(refute_23_43,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_23_42,refute_23_40]) ).
cnf(refute_23_44,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_23_45,plain,
op(e1,e0) = e1,
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_23_44,refute_23_43]) ).
cnf(refute_23_46,plain,
( op(e1,e0) != e0
| op(e1,e0) != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e0) ),[0],$fot(e1)]]) ).
cnf(refute_23_47,plain,
( op(e1,e0) != e0
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_23_45,refute_23_46]) ).
cnf(refute_23_48,plain,
( e1 = e0
| unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e0) )],[refute_23_39,refute_23_47]) ).
cnf(refute_23_49,plain,
e0 != e1,
inference(canonicalize,[],[normalize_23_16]) ).
cnf(refute_23_50,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_23_51,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_23_50,refute_23_49]) ).
cnf(refute_23_52,plain,
( unit = e0
| unit = e2
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_23_48,refute_23_51]) ).
cnf(refute_23_53,plain,
( op(unit,e4) != e4
| unit != e2
| op(e2,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0,0],$fot(e2)]]) ).
cnf(refute_23_54,plain,
( op(unit,e4) != e4
| op(e2,e4) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_23_52,refute_23_53]) ).
cnf(refute_23_55,plain,
( op(e2,e4) = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_23_34,refute_23_54]) ).
cnf(refute_23_56,plain,
e3 = op(e2,e4),
inference(canonicalize,[],[normalize_23_17]) ).
cnf(refute_23_57,plain,
( e3 != op(e2,e4)
| op(e2,e4) = e3 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e3)),bind(Y,$fot(op(e2,e4)))]]) ).
cnf(refute_23_58,plain,
op(e2,e4) = e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e4)) )],[refute_23_56,refute_23_57]) ).
cnf(refute_23_59,plain,
( op(e2,e4) != e3
| op(e2,e4) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e4) ),[0],$fot(e3)]]) ).
cnf(refute_23_60,plain,
( op(e2,e4) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_23_58,refute_23_59]) ).
cnf(refute_23_61,plain,
( e3 = e4
| unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e4) )],[refute_23_55,refute_23_60]) ).
cnf(refute_23_62,plain,
e3 != e4,
inference(canonicalize,[],[normalize_23_18]) ).
cnf(refute_23_63,plain,
( unit = e0
| unit = e3
| unit = e4 ),
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_23_61,refute_23_62]) ).
cnf(refute_23_64,plain,
( op(e1,unit) != e1
| unit != e3
| op(e1,e3) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e3)]]) ).
cnf(refute_23_65,plain,
( op(e1,unit) != e1
| op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_23_63,refute_23_64]) ).
cnf(refute_23_66,plain,
( op(e1,e3) = e1
| unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_23_33,refute_23_65]) ).
cnf(refute_23_67,plain,
op(e1,e0) != op(e1,e3),
inference(canonicalize,[],[normalize_23_20]) ).
cnf(refute_23_68,plain,
( e1 != op(e1,e3)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_23_69,plain,
( e1 != op(e1,e3)
| op(e1,e0) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_23_45,refute_23_68]) ).
cnf(refute_23_70,plain,
e1 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e3)) )],[refute_23_69,refute_23_67]) ).
cnf(refute_23_71,plain,
( op(e1,e3) != e1
| e1 = op(e1,e3) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_23_72,plain,
op(e1,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e3)) )],[refute_23_71,refute_23_70]) ).
cnf(refute_23_73,plain,
( unit = e0
| unit = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_23_66,refute_23_72]) ).
cnf(refute_23_74,plain,
( op(unit,e2) != e2
| unit != e4
| op(e4,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0,0],$fot(e4)]]) ).
cnf(refute_23_75,plain,
( op(unit,e2) != e2
| op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(unit,e4) )],[refute_23_73,refute_23_74]) ).
cnf(refute_23_76,plain,
( op(e4,e2) = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_23_32,refute_23_75]) ).
cnf(refute_23_77,plain,
( op(e4,e2) != e1
| op(e4,e2) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e2) ),[0],$fot(e1)]]) ).
cnf(refute_23_78,plain,
( op(e4,e2) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_23_7,refute_23_77]) ).
cnf(refute_23_79,plain,
( e1 = e2
| unit = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e2) )],[refute_23_76,refute_23_78]) ).
cnf(refute_23_80,plain,
e1 != e2,
inference(canonicalize,[],[normalize_23_21]) ).
cnf(refute_23_81,plain,
unit = e0,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_23_79,refute_23_80]) ).
cnf(refute_23_82,plain,
op(unit,e1) = op(unit,e1),
introduced(tautology,[refl,[$fot(op(unit,e1))]]) ).
cnf(refute_23_83,plain,
( op(unit,e1) != op(unit,e1)
| unit != e0
| op(unit,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),op(unit,e1)) ),[1,0],$fot(e0)]]) ).
cnf(refute_23_84,plain,
( unit != e0
| op(unit,e1) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(unit,e1)) )],[refute_23_82,refute_23_83]) ).
cnf(refute_23_85,plain,
op(unit,e1) = op(e0,e1),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_81,refute_23_84]) ).
cnf(refute_23_86,plain,
( op(unit,e1) != e1
| op(unit,e1) != op(e0,e1)
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_23_87,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1 ),
inference(resolve,[$cnf( $equal(op(unit,e1),op(e0,e1)) )],[refute_23_85,refute_23_86]) ).
cnf(refute_23_88,plain,
op(e0,e1) = e1,
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_23_31,refute_23_87]) ).
cnf(refute_23_89,plain,
( op(e0,e1) != e1
| op(e0,e1) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e2) ),[0],$fot(e1)]]) ).
cnf(refute_23_90,plain,
( op(e0,e1) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_23_88,refute_23_89]) ).
cnf(refute_23_91,plain,
( e1 = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e2) )],[refute_23_30,refute_23_90]) ).
cnf(refute_23_92,plain,
op(op(e4,e3),e3) = e4,
inference(canonicalize,[],[normalize_23_22]) ).
cnf(refute_23_93,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(canonicalize,[],[normalize_23_23]) ).
cnf(refute_23_94,plain,
( op(e4,e2) != e1
| op(e4,e2) != e3
| e1 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e3) ),[0],$fot(e1)]]) ).
cnf(refute_23_95,plain,
( op(e4,e2) != e3
| e1 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_23_7,refute_23_94]) ).
cnf(refute_23_96,plain,
( e1 = e3
| op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_23_93,refute_23_95]) ).
cnf(refute_23_97,plain,
e1 != e3,
inference(canonicalize,[],[normalize_23_24]) ).
cnf(refute_23_98,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_23_96,refute_23_97]) ).
cnf(refute_23_99,plain,
op(e2,e4) != op(e4,e4),
inference(canonicalize,[],[normalize_23_25]) ).
cnf(refute_23_100,plain,
( e3 != op(e4,e4)
| op(e2,e4) != e3
| op(e2,e4) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e3) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_23_101,plain,
( e3 != op(e4,e4)
| op(e2,e4) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_23_58,refute_23_100]) ).
cnf(refute_23_102,plain,
e3 != op(e4,e4),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e4,e4)) )],[refute_23_101,refute_23_99]) ).
cnf(refute_23_103,plain,
( op(e4,e4) != e3
| e3 = op(e4,e4) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(e3))]]) ).
cnf(refute_23_104,plain,
op(e4,e4) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e4)) )],[refute_23_103,refute_23_102]) ).
cnf(refute_23_105,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_23_98,refute_23_104]) ).
cnf(refute_23_106,plain,
( op(e4,e3) != e3
| op(op(e4,e3),e3) != e4
| op(e3,e3) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e3),e3),e4) ),[0,0],$fot(e3)]]) ).
cnf(refute_23_107,plain,
( op(op(e4,e3),e3) != e4
| op(e3,e3) = e4
| op(e4,e0) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_23_105,refute_23_106]) ).
cnf(refute_23_108,plain,
( op(e3,e3) = e4
| op(e4,e0) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),e3),e4) )],[refute_23_92,refute_23_107]) ).
cnf(refute_23_109,plain,
( op(e3,e3) != e4
| op(e3,e4) = e3 ),
inference(canonicalize,[],[normalize_23_26]) ).
cnf(refute_23_110,plain,
op(e2,e4) != op(e3,e4),
inference(canonicalize,[],[normalize_23_27]) ).
cnf(refute_23_111,plain,
( e3 != op(e3,e4)
| op(e2,e4) != e3
| op(e2,e4) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e3) ),[1],$fot(op(e3,e4))]]) ).
cnf(refute_23_112,plain,
( e3 != op(e3,e4)
| op(e2,e4) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_23_58,refute_23_111]) ).
cnf(refute_23_113,plain,
e3 != op(e3,e4),
inference(resolve,[$cnf( $equal(op(e2,e4),op(e3,e4)) )],[refute_23_112,refute_23_110]) ).
cnf(refute_23_114,plain,
( op(e3,e4) != e3
| e3 = op(e3,e4) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e3,e4))),bind(Y,$fot(e3))]]) ).
cnf(refute_23_115,plain,
op(e3,e4) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e4)) )],[refute_23_114,refute_23_113]) ).
cnf(refute_23_116,plain,
op(e3,e3) != e4,
inference(resolve,[$cnf( $equal(op(e3,e4),e3) )],[refute_23_109,refute_23_115]) ).
cnf(refute_23_117,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e4) )],[refute_23_108,refute_23_116]) ).
cnf(refute_23_118,plain,
op(e4,unit) = e4,
inference(canonicalize,[],[normalize_23_28]) ).
cnf(refute_23_119,plain,
op(e4,unit) = op(e4,unit),
introduced(tautology,[refl,[$fot(op(e4,unit))]]) ).
cnf(refute_23_120,plain,
( op(e4,unit) != op(e4,unit)
| unit != e0
| op(e4,unit) = op(e4,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),op(e4,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_23_121,plain,
( unit != e0
| op(e4,unit) = op(e4,e0) ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,unit)) )],[refute_23_119,refute_23_120]) ).
cnf(refute_23_122,plain,
op(e4,unit) = op(e4,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_81,refute_23_121]) ).
cnf(refute_23_123,plain,
( op(e4,unit) != e4
| op(e4,unit) != op(e4,e0)
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,unit),e4) ),[0],$fot(op(e4,e0))]]) ).
cnf(refute_23_124,plain,
( op(e4,unit) != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,unit),op(e4,e0)) )],[refute_23_122,refute_23_123]) ).
cnf(refute_23_125,plain,
op(e4,e0) = e4,
inference(resolve,[$cnf( $equal(op(e4,unit),e4) )],[refute_23_118,refute_23_124]) ).
cnf(refute_23_126,plain,
( op(e4,e0) != e3
| op(e4,e0) != e4
| e4 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e3) ),[0],$fot(e4)]]) ).
cnf(refute_23_127,plain,
( op(e4,e0) != e3
| e4 = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_23_125,refute_23_126]) ).
cnf(refute_23_128,plain,
( e4 = e3
| op(e4,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e3) )],[refute_23_117,refute_23_127]) ).
cnf(refute_23_129,plain,
( e4 != e3
| e3 = e4 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e4)),bind(Y,$fot(e3))]]) ).
cnf(refute_23_130,plain,
e4 != e3,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_23_129,refute_23_62]) ).
cnf(refute_23_131,plain,
op(e4,e1) = e3,
inference(resolve,[$cnf( $equal(e4,e3) )],[refute_23_128,refute_23_130]) ).
cnf(refute_23_132,plain,
( op(e4,e1) != e2
| op(e4,e1) != e3
| e3 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e2) ),[0],$fot(e3)]]) ).
cnf(refute_23_133,plain,
( op(e4,e1) != e2
| e3 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_23_131,refute_23_132]) ).
cnf(refute_23_134,plain,
( e1 = e2
| e3 = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e2) )],[refute_23_91,refute_23_133]) ).
cnf(refute_23_135,plain,
( e3 = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_23_134,refute_23_80]) ).
cnf(refute_23_136,plain,
e2 != e3,
inference(canonicalize,[],[normalize_23_29]) ).
cnf(refute_23_137,plain,
( e3 != e2
| e2 = e3 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e3)),bind(Y,$fot(e2))]]) ).
cnf(refute_23_138,plain,
e3 != e2,
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_23_137,refute_23_136]) ).
cnf(refute_23_139,plain,
( op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(resolve,[$cnf( $equal(e3,e2) )],[refute_23_135,refute_23_138]) ).
cnf(refute_23_140,plain,
op(e2,e0) != op(e2,e1),
inference(canonicalize,[],[normalize_23_30]) ).
cnf(refute_23_141,plain,
op(e2,unit) = e2,
inference(canonicalize,[],[normalize_23_31]) ).
cnf(refute_23_142,plain,
op(e2,unit) = op(e2,unit),
introduced(tautology,[refl,[$fot(op(e2,unit))]]) ).
cnf(refute_23_143,plain,
( op(e2,unit) != op(e2,unit)
| unit != e0
| op(e2,unit) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),op(e2,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_23_144,plain,
( unit != e0
| op(e2,unit) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,unit)) )],[refute_23_142,refute_23_143]) ).
cnf(refute_23_145,plain,
op(e2,unit) = op(e2,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_81,refute_23_144]) ).
cnf(refute_23_146,plain,
( op(e2,unit) != e2
| op(e2,unit) != op(e2,e0)
| op(e2,e0) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,unit),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_23_147,plain,
( op(e2,unit) != e2
| op(e2,e0) = e2 ),
inference(resolve,[$cnf( $equal(op(e2,unit),op(e2,e0)) )],[refute_23_145,refute_23_146]) ).
cnf(refute_23_148,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,unit),e2) )],[refute_23_141,refute_23_147]) ).
cnf(refute_23_149,plain,
( e2 != op(e2,e1)
| op(e2,e0) != e2
| op(e2,e0) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),e2) ),[1],$fot(op(e2,e1))]]) ).
cnf(refute_23_150,plain,
( e2 != op(e2,e1)
| op(e2,e0) = op(e2,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_23_148,refute_23_149]) ).
cnf(refute_23_151,plain,
e2 != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e2,e1)) )],[refute_23_150,refute_23_140]) ).
cnf(refute_23_152,plain,
( op(e2,e1) != e2
| e2 = op(e2,e1) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(e2))]]) ).
cnf(refute_23_153,plain,
op(e2,e1) != e2,
inference(resolve,[$cnf( $equal(e2,op(e2,e1)) )],[refute_23_152,refute_23_151]) ).
cnf(refute_23_154,plain,
op(e3,e1) = e2,
inference(resolve,[$cnf( $equal(op(e2,e1),e2) )],[refute_23_139,refute_23_153]) ).
cnf(refute_23_155,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(canonicalize,[],[normalize_23_33]) ).
cnf(refute_23_156,plain,
op(e4,e2) != op(e4,e3),
inference(canonicalize,[],[normalize_23_34]) ).
cnf(refute_23_157,plain,
( e1 != op(e4,e3)
| op(e4,e2) != e1
| op(e4,e2) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e1) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_23_158,plain,
( e1 != op(e4,e3)
| op(e4,e2) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_23_7,refute_23_157]) ).
cnf(refute_23_159,plain,
e1 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e3)) )],[refute_23_158,refute_23_156]) ).
cnf(refute_23_160,plain,
( op(e4,e3) != e1
| e1 = op(e4,e3) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e1))]]) ).
cnf(refute_23_161,plain,
op(e4,e3) != e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e3)) )],[refute_23_160,refute_23_159]) ).
cnf(refute_23_162,plain,
( op(e4,e3) = e0
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e1) )],[refute_23_155,refute_23_161]) ).
cnf(refute_23_163,plain,
op(e4,e3) != op(e4,e4),
inference(canonicalize,[],[normalize_23_35]) ).
cnf(refute_23_164,plain,
op(e4,e0) != op(e4,e4),
inference(canonicalize,[],[normalize_23_36]) ).
cnf(refute_23_165,plain,
( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ),
inference(canonicalize,[],[normalize_23_37]) ).
cnf(refute_23_166,plain,
op(e4,e2) != op(e4,e4),
inference(canonicalize,[],[normalize_23_38]) ).
cnf(refute_23_167,plain,
( e1 != op(e4,e4)
| op(e4,e2) != e1
| op(e4,e2) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e1) ),[1],$fot(op(e4,e4))]]) ).
cnf(refute_23_168,plain,
( e1 != op(e4,e4)
| op(e4,e2) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_23_7,refute_23_167]) ).
cnf(refute_23_169,plain,
e1 != op(e4,e4),
inference(resolve,[$cnf( $equal(op(e4,e2),op(e4,e4)) )],[refute_23_168,refute_23_166]) ).
cnf(refute_23_170,plain,
( op(e4,e4) != e1
| e1 = op(e4,e4) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e4,e4))),bind(Y,$fot(e1))]]) ).
cnf(refute_23_171,plain,
op(e4,e4) != e1,
inference(resolve,[$cnf( $equal(e1,op(e4,e4)) )],[refute_23_170,refute_23_169]) ).
cnf(refute_23_172,plain,
( op(e4,e4) = e0
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_23_165,refute_23_171]) ).
cnf(refute_23_173,plain,
( op(e4,e4) = e0
| op(e4,e4) = e2
| op(e4,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e3) )],[refute_23_172,refute_23_104]) ).
cnf(refute_23_174,plain,
( op(e4,e4) != e2
| op(e4,e2) = e4 ),
inference(canonicalize,[],[normalize_23_39]) ).
cnf(refute_23_175,plain,
( op(e4,e2) != e1
| op(e4,e2) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e2),e4) ),[0],$fot(e1)]]) ).
cnf(refute_23_176,plain,
( op(e4,e2) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e1) )],[refute_23_7,refute_23_175]) ).
cnf(refute_23_177,plain,
( op(e4,e4) != e2
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e4) )],[refute_23_174,refute_23_176]) ).
cnf(refute_23_178,plain,
e1 != e4,
inference(canonicalize,[],[normalize_23_40]) ).
cnf(refute_23_179,plain,
op(e4,e4) != e2,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_23_177,refute_23_178]) ).
cnf(refute_23_180,plain,
( op(e4,e4) = e0
| op(e4,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e2) )],[refute_23_173,refute_23_179]) ).
cnf(refute_23_181,plain,
( op(e4,e0) != e4
| op(e4,e4) != e4
| op(e4,e0) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e0),op(e4,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_23_182,plain,
( op(e4,e0) != e4
| op(e4,e0) = op(e4,e4)
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e4) )],[refute_23_180,refute_23_181]) ).
cnf(refute_23_183,plain,
( op(e4,e0) != e4
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),op(e4,e4)) )],[refute_23_182,refute_23_164]) ).
cnf(refute_23_184,plain,
( e4 != e4
| op(e4,e0) != e4
| op(e4,e0) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e0),e4) ),[0,0],$fot(e4)]]) ).
cnf(refute_23_185,plain,
( e4 != e4
| op(e4,e0) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_23_125,refute_23_184]) ).
cnf(refute_23_186,plain,
( e4 != e4
| op(e4,e4) = e0 ),
inference(resolve,[$cnf( $equal(op(e4,e0),e4) )],[refute_23_185,refute_23_183]) ).
cnf(refute_23_187,plain,
e4 = e4,
introduced(tautology,[refl,[$fot(e4)]]) ).
cnf(refute_23_188,plain,
op(e4,e4) = e0,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_23_187,refute_23_186]) ).
cnf(refute_23_189,plain,
( op(e4,e3) != e0
| op(e4,e4) != e0
| op(e4,e3) = op(e4,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e4,e3),op(e4,e4)) ),[1],$fot(e0)]]) ).
cnf(refute_23_190,plain,
( op(e4,e3) != e0
| op(e4,e3) = op(e4,e4) ),
inference(resolve,[$cnf( $equal(op(e4,e4),e0) )],[refute_23_188,refute_23_189]) ).
cnf(refute_23_191,plain,
op(e4,e3) != e0,
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e4)) )],[refute_23_190,refute_23_163]) ).
cnf(refute_23_192,plain,
( op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e0) )],[refute_23_162,refute_23_191]) ).
cnf(refute_23_193,plain,
op(e4,e1) != op(e4,e3),
inference(canonicalize,[],[normalize_23_41]) ).
cnf(refute_23_194,plain,
( e3 != op(e4,e3)
| op(e4,e1) != e3
| op(e4,e1) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e3) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_23_195,plain,
( e3 != op(e4,e3)
| op(e4,e1) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_23_131,refute_23_194]) ).
cnf(refute_23_196,plain,
e3 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e4,e1),op(e4,e3)) )],[refute_23_195,refute_23_193]) ).
cnf(refute_23_197,plain,
( op(e4,e3) != e3
| e3 = op(e4,e3) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_23_198,plain,
op(e4,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e4,e3)) )],[refute_23_197,refute_23_196]) ).
cnf(refute_23_199,plain,
( op(e4,e3) = e2
| op(e4,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e3) )],[refute_23_192,refute_23_198]) ).
cnf(refute_23_200,plain,
op(e1,e3) != op(e4,e3),
inference(canonicalize,[],[normalize_23_42]) ).
cnf(refute_23_201,plain,
op(e1,e3) != op(e1,e4),
inference(canonicalize,[],[normalize_23_43]) ).
cnf(refute_23_202,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(canonicalize,[],[normalize_23_44]) ).
cnf(refute_23_203,plain,
op(e1,e4) != op(e2,e4),
inference(canonicalize,[],[normalize_23_45]) ).
cnf(refute_23_204,plain,
( op(e1,e4) != e3
| op(e2,e4) != e3
| op(e1,e4) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e4),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_23_205,plain,
( op(e1,e4) != e3
| op(e1,e4) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_23_58,refute_23_204]) ).
cnf(refute_23_206,plain,
op(e1,e4) != e3,
inference(resolve,[$cnf( $equal(op(e1,e4),op(e2,e4)) )],[refute_23_205,refute_23_203]) ).
cnf(refute_23_207,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e3) )],[refute_23_202,refute_23_206]) ).
cnf(refute_23_208,plain,
op(e1,e1) != op(e1,e4),
inference(canonicalize,[],[normalize_23_46]) ).
cnf(refute_23_209,plain,
( e0 != op(e1,e4)
| op(e1,e1) != e0
| op(e1,e1) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_23_210,plain,
( e0 != op(e1,e4)
| op(e1,e1) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_23_25,refute_23_209]) ).
cnf(refute_23_211,plain,
e0 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e4)) )],[refute_23_210,refute_23_208]) ).
cnf(refute_23_212,plain,
( op(e1,e4) != e0
| e0 = op(e1,e4) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e0))]]) ).
cnf(refute_23_213,plain,
op(e1,e4) != e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e4)) )],[refute_23_212,refute_23_211]) ).
cnf(refute_23_214,plain,
( op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e0) )],[refute_23_207,refute_23_213]) ).
cnf(refute_23_215,plain,
op(e1,e0) != op(e1,e4),
inference(canonicalize,[],[normalize_23_47]) ).
cnf(refute_23_216,plain,
( e1 != op(e1,e4)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e4))]]) ).
cnf(refute_23_217,plain,
( e1 != op(e1,e4)
| op(e1,e0) = op(e1,e4) ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_23_45,refute_23_216]) ).
cnf(refute_23_218,plain,
e1 != op(e1,e4),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e4)) )],[refute_23_217,refute_23_215]) ).
cnf(refute_23_219,plain,
( op(e1,e4) != e1
| e1 = op(e1,e4) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e1,e4))),bind(Y,$fot(e1))]]) ).
cnf(refute_23_220,plain,
op(e1,e4) != e1,
inference(resolve,[$cnf( $equal(e1,op(e1,e4)) )],[refute_23_219,refute_23_218]) ).
cnf(refute_23_221,plain,
( op(e1,e4) = e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_23_214,refute_23_220]) ).
cnf(refute_23_222,plain,
( op(e1,e3) != e2
| op(e1,e4) != e2
| op(e1,e3) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e1,e3),op(e1,e4)) ),[1],$fot(e2)]]) ).
cnf(refute_23_223,plain,
( op(e1,e3) != e2
| op(e1,e3) = op(e1,e4)
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e2) )],[refute_23_221,refute_23_222]) ).
cnf(refute_23_224,plain,
( op(e1,e3) != e2
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e1,e4)) )],[refute_23_223,refute_23_201]) ).
cnf(refute_23_225,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(canonicalize,[],[normalize_23_48]) ).
cnf(refute_23_226,plain,
op(e1,e1) != op(e1,e3),
inference(canonicalize,[],[normalize_23_49]) ).
cnf(refute_23_227,plain,
( e0 != op(e1,e3)
| op(e1,e1) != e0
| op(e1,e1) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e0) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_23_228,plain,
( e0 != op(e1,e3)
| op(e1,e1) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_23_25,refute_23_227]) ).
cnf(refute_23_229,plain,
e0 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e1,e3)) )],[refute_23_228,refute_23_226]) ).
cnf(refute_23_230,plain,
( op(e1,e3) != e0
| e0 = op(e1,e3) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e0))]]) ).
cnf(refute_23_231,plain,
op(e1,e3) != e0,
inference(resolve,[$cnf( $equal(e0,op(e1,e3)) )],[refute_23_230,refute_23_229]) ).
cnf(refute_23_232,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e0) )],[refute_23_225,refute_23_231]) ).
cnf(refute_23_233,plain,
( op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_23_232,refute_23_72]) ).
cnf(refute_23_234,plain,
( e2 != e2
| op(e1,e3) != e2
| op(e1,e3) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e2) ),[1],$fot(e2)]]) ).
cnf(refute_23_235,plain,
( e2 != e2
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_23_233,refute_23_234]) ).
cnf(refute_23_236,plain,
( e2 != e2
| op(e1,e3) = e3
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e2) )],[refute_23_235,refute_23_224]) ).
cnf(refute_23_237,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_23_238,plain,
( op(e1,e3) = e3
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_23_237,refute_23_236]) ).
cnf(refute_23_239,plain,
op(e0,e4) != op(e1,e4),
inference(canonicalize,[],[normalize_23_50]) ).
cnf(refute_23_240,plain,
( op(e0,e4) != e4
| op(e1,e4) != e4
| op(e0,e4) = op(e1,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e4),op(e1,e4)) ),[1],$fot(e4)]]) ).
cnf(refute_23_241,plain,
( op(e0,e4) != e4
| op(e0,e4) = op(e1,e4)
| op(e1,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_23_221,refute_23_240]) ).
cnf(refute_23_242,plain,
( op(e0,e4) != e4
| op(e1,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),op(e1,e4)) )],[refute_23_241,refute_23_239]) ).
cnf(refute_23_243,plain,
op(unit,e4) = op(unit,e4),
introduced(tautology,[refl,[$fot(op(unit,e4))]]) ).
cnf(refute_23_244,plain,
( op(unit,e4) != op(unit,e4)
| unit != e0
| op(unit,e4) = op(e0,e4) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),op(unit,e4)) ),[1,0],$fot(e0)]]) ).
cnf(refute_23_245,plain,
( unit != e0
| op(unit,e4) = op(e0,e4) ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(unit,e4)) )],[refute_23_243,refute_23_244]) ).
cnf(refute_23_246,plain,
op(unit,e4) = op(e0,e4),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_81,refute_23_245]) ).
cnf(refute_23_247,plain,
( op(unit,e4) != e4
| op(unit,e4) != op(e0,e4)
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e4),e4) ),[0],$fot(op(e0,e4))]]) ).
cnf(refute_23_248,plain,
( op(unit,e4) != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(unit,e4),op(e0,e4)) )],[refute_23_246,refute_23_247]) ).
cnf(refute_23_249,plain,
op(e0,e4) = e4,
inference(resolve,[$cnf( $equal(op(unit,e4),e4) )],[refute_23_34,refute_23_248]) ).
cnf(refute_23_250,plain,
( e4 != e4
| op(e0,e4) != e4
| op(e0,e4) = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e4) ),[0,1],$fot(e4)]]) ).
cnf(refute_23_251,plain,
( e4 != e4
| op(e0,e4) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_23_249,refute_23_250]) ).
cnf(refute_23_252,plain,
( e4 != e4
| op(e1,e4) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_23_251,refute_23_242]) ).
cnf(refute_23_253,plain,
op(e1,e4) = e2,
inference(resolve,[$cnf( $equal(e4,e4) )],[refute_23_187,refute_23_252]) ).
cnf(refute_23_254,plain,
( op(e1,e4) != e2
| op(e1,e4) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e4),e4) ),[0],$fot(e2)]]) ).
cnf(refute_23_255,plain,
( op(e1,e4) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e2) )],[refute_23_253,refute_23_254]) ).
cnf(refute_23_256,plain,
( e2 = e4
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e4) )],[refute_23_238,refute_23_255]) ).
cnf(refute_23_257,plain,
e2 != e4,
inference(canonicalize,[],[normalize_23_51]) ).
cnf(refute_23_258,plain,
( op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_23_256,refute_23_257]) ).
cnf(refute_23_259,plain,
op(e1,e2) != op(e1,e3),
inference(canonicalize,[],[normalize_23_52]) ).
cnf(refute_23_260,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(canonicalize,[],[normalize_23_53]) ).
cnf(refute_23_261,plain,
( e1 = e3
| op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e4,e2),e3) )],[refute_23_260,refute_23_95]) ).
cnf(refute_23_262,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_23_261,refute_23_97]) ).
cnf(refute_23_263,plain,
op(e2,e2) != op(e2,e4),
inference(canonicalize,[],[normalize_23_54]) ).
cnf(refute_23_264,plain,
( op(e2,e2) != e3
| op(e2,e4) != e3
| op(e2,e2) = op(e2,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e2,e2),op(e2,e4)) ),[1],$fot(e3)]]) ).
cnf(refute_23_265,plain,
( op(e2,e2) != e3
| op(e2,e2) = op(e2,e4) ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_23_58,refute_23_264]) ).
cnf(refute_23_266,plain,
op(e2,e2) != e3,
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e4)) )],[refute_23_265,refute_23_263]) ).
cnf(refute_23_267,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_23_262,refute_23_266]) ).
cnf(refute_23_268,plain,
op(unit,e2) = op(unit,e2),
introduced(tautology,[refl,[$fot(op(unit,e2))]]) ).
cnf(refute_23_269,plain,
( op(unit,e2) != op(unit,e2)
| unit != e0
| op(unit,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),op(unit,e2)) ),[1,0],$fot(e0)]]) ).
cnf(refute_23_270,plain,
( unit != e0
| op(unit,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(unit,e2)) )],[refute_23_268,refute_23_269]) ).
cnf(refute_23_271,plain,
op(unit,e2) = op(e0,e2),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_81,refute_23_270]) ).
cnf(refute_23_272,plain,
( op(unit,e2) != e2
| op(unit,e2) != op(e0,e2)
| op(e0,e2) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e2),e2) ),[0],$fot(op(e0,e2))]]) ).
cnf(refute_23_273,plain,
( op(unit,e2) != e2
| op(e0,e2) = e2 ),
inference(resolve,[$cnf( $equal(op(unit,e2),op(e0,e2)) )],[refute_23_271,refute_23_272]) ).
cnf(refute_23_274,plain,
op(e0,e2) = e2,
inference(resolve,[$cnf( $equal(op(unit,e2),e2) )],[refute_23_32,refute_23_273]) ).
cnf(refute_23_275,plain,
( op(e0,e2) != e2
| op(e0,e2) != e3
| e2 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e3) ),[0],$fot(e2)]]) ).
cnf(refute_23_276,plain,
( op(e0,e2) != e3
| e2 = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_23_274,refute_23_275]) ).
cnf(refute_23_277,plain,
( e2 = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_23_267,refute_23_276]) ).
cnf(refute_23_278,plain,
( op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(resolve,[$cnf( $equal(e2,e3) )],[refute_23_277,refute_23_136]) ).
cnf(refute_23_279,plain,
op(e3,e0) != op(e3,e2),
inference(canonicalize,[],[normalize_23_55]) ).
cnf(refute_23_280,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_23_56]) ).
cnf(refute_23_281,plain,
op(e3,unit) = op(e3,unit),
introduced(tautology,[refl,[$fot(op(e3,unit))]]) ).
cnf(refute_23_282,plain,
( op(e3,unit) != op(e3,unit)
| unit != e0
| op(e3,unit) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),op(e3,unit)) ),[1,1],$fot(e0)]]) ).
cnf(refute_23_283,plain,
( unit != e0
| op(e3,unit) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,unit)) )],[refute_23_281,refute_23_282]) ).
cnf(refute_23_284,plain,
op(e3,unit) = op(e3,e0),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_81,refute_23_283]) ).
cnf(refute_23_285,plain,
( op(e3,unit) != e3
| op(e3,unit) != op(e3,e0)
| op(e3,e0) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,unit),e3) ),[0],$fot(op(e3,e0))]]) ).
cnf(refute_23_286,plain,
( op(e3,unit) != e3
| op(e3,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),op(e3,e0)) )],[refute_23_284,refute_23_285]) ).
cnf(refute_23_287,plain,
op(e3,e0) = e3,
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_23_280,refute_23_286]) ).
cnf(refute_23_288,plain,
( e3 != op(e3,e2)
| op(e3,e0) != e3
| op(e3,e0) = op(e3,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e0),e3) ),[1],$fot(op(e3,e2))]]) ).
cnf(refute_23_289,plain,
( e3 != op(e3,e2)
| op(e3,e0) = op(e3,e2) ),
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_23_287,refute_23_288]) ).
cnf(refute_23_290,plain,
e3 != op(e3,e2),
inference(resolve,[$cnf( $equal(op(e3,e0),op(e3,e2)) )],[refute_23_289,refute_23_279]) ).
cnf(refute_23_291,plain,
( op(e3,e2) != e3
| e3 = op(e3,e2) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_23_292,plain,
op(e3,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e3,e2)) )],[refute_23_291,refute_23_290]) ).
cnf(refute_23_293,plain,
op(e1,e2) = e3,
inference(resolve,[$cnf( $equal(op(e3,e2),e3) )],[refute_23_278,refute_23_292]) ).
cnf(refute_23_294,plain,
( e3 != op(e1,e3)
| op(e1,e2) != e3
| op(e1,e2) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),e3) ),[1],$fot(op(e1,e3))]]) ).
cnf(refute_23_295,plain,
( e3 != op(e1,e3)
| op(e1,e2) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_23_293,refute_23_294]) ).
cnf(refute_23_296,plain,
e3 != op(e1,e3),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e1,e3)) )],[refute_23_295,refute_23_259]) ).
cnf(refute_23_297,plain,
( op(e1,e3) != e3
| e3 = op(e1,e3) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e3))]]) ).
cnf(refute_23_298,plain,
op(e1,e3) != e3,
inference(resolve,[$cnf( $equal(e3,op(e1,e3)) )],[refute_23_297,refute_23_296]) ).
cnf(refute_23_299,plain,
op(e1,e3) = e4,
inference(resolve,[$cnf( $equal(op(e1,e3),e3) )],[refute_23_258,refute_23_298]) ).
cnf(refute_23_300,plain,
( e4 != op(e4,e3)
| op(e1,e3) != e4
| op(e1,e3) = op(e4,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e3),e4) ),[1],$fot(op(e4,e3))]]) ).
cnf(refute_23_301,plain,
( e4 != op(e4,e3)
| op(e1,e3) = op(e4,e3) ),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_23_299,refute_23_300]) ).
cnf(refute_23_302,plain,
e4 != op(e4,e3),
inference(resolve,[$cnf( $equal(op(e1,e3),op(e4,e3)) )],[refute_23_301,refute_23_200]) ).
cnf(refute_23_303,plain,
( op(e4,e3) != e4
| e4 = op(e4,e3) ),
inference(subst,[],[refute_23_5:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(e4))]]) ).
cnf(refute_23_304,plain,
op(e4,e3) != e4,
inference(resolve,[$cnf( $equal(e4,op(e4,e3)) )],[refute_23_303,refute_23_302]) ).
cnf(refute_23_305,plain,
op(e4,e3) = e2,
inference(resolve,[$cnf( $equal(op(e4,e3),e4) )],[refute_23_199,refute_23_304]) ).
cnf(refute_23_306,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 ),
inference(canonicalize,[],[normalize_23_57]) ).
cnf(refute_23_307,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e1) )],[refute_23_306,refute_23_161]) ).
cnf(refute_23_308,plain,
( op(e0,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_23_307,refute_23_72]) ).
cnf(refute_23_309,plain,
op(unit,e3) = e3,
inference(canonicalize,[],[normalize_23_58]) ).
cnf(refute_23_310,plain,
op(unit,e3) = op(unit,e3),
introduced(tautology,[refl,[$fot(op(unit,e3))]]) ).
cnf(refute_23_311,plain,
( op(unit,e3) != op(unit,e3)
| unit != e0
| op(unit,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),op(unit,e3)) ),[1,0],$fot(e0)]]) ).
cnf(refute_23_312,plain,
( unit != e0
| op(unit,e3) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(unit,e3)) )],[refute_23_310,refute_23_311]) ).
cnf(refute_23_313,plain,
op(unit,e3) = op(e0,e3),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_23_81,refute_23_312]) ).
cnf(refute_23_314,plain,
( op(unit,e3) != e3
| op(unit,e3) != op(e0,e3)
| op(e0,e3) = e3 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e3),e3) ),[0],$fot(op(e0,e3))]]) ).
cnf(refute_23_315,plain,
( op(unit,e3) != e3
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e3),op(e0,e3)) )],[refute_23_313,refute_23_314]) ).
cnf(refute_23_316,plain,
op(e0,e3) = e3,
inference(resolve,[$cnf( $equal(op(unit,e3),e3) )],[refute_23_309,refute_23_315]) ).
cnf(refute_23_317,plain,
( op(e0,e3) != e1
| op(e0,e3) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e1) ),[0],$fot(e3)]]) ).
cnf(refute_23_318,plain,
( op(e0,e3) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_23_316,refute_23_317]) ).
cnf(refute_23_319,plain,
( e3 = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_23_308,refute_23_318]) ).
cnf(refute_23_320,plain,
( e3 != e1
| e1 = e3 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e3)),bind(Y,$fot(e1))]]) ).
cnf(refute_23_321,plain,
e3 != e1,
inference(resolve,[$cnf( $equal(e1,e3) )],[refute_23_320,refute_23_97]) ).
cnf(refute_23_322,plain,
( op(e2,e3) = e1
| op(e3,e3) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_23_319,refute_23_321]) ).
cnf(refute_23_323,plain,
op(e3,e3) != op(e3,e4),
inference(canonicalize,[],[normalize_23_59]) ).
cnf(refute_23_324,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(canonicalize,[],[normalize_23_60]) ).
cnf(refute_23_325,plain,
( op(e2,e4) != e1
| op(e2,e4) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e4),e1) ),[0],$fot(e3)]]) ).
cnf(refute_23_326,plain,
( op(e2,e4) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e3) )],[refute_23_58,refute_23_325]) ).
cnf(refute_23_327,plain,
( e3 = e1
| op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e2,e4),e1) )],[refute_23_324,refute_23_326]) ).
cnf(refute_23_328,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_23_327,refute_23_321]) ).
cnf(refute_23_329,plain,
( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e4),e1) )],[refute_23_328,refute_23_171]) ).
cnf(refute_23_330,plain,
( op(e0,e4) = e1
| op(e3,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e4),e1) )],[refute_23_329,refute_23_220]) ).
cnf(refute_23_331,plain,
( op(e3,e3) != e1
| op(e3,e4) != e1
| op(e3,e3) = op(e3,e4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e3,e3),op(e3,e4)) ),[1],$fot(e1)]]) ).
cnf(refute_23_332,plain,
( op(e3,e3) != e1
| op(e0,e4) = e1
| op(e3,e3) = op(e3,e4) ),
inference(resolve,[$cnf( $equal(op(e3,e4),e1) )],[refute_23_330,refute_23_331]) ).
cnf(refute_23_333,plain,
( op(e3,e3) != e1
| op(e0,e4) = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e3),op(e3,e4)) )],[refute_23_332,refute_23_323]) ).
cnf(refute_23_334,plain,
( op(e0,e4) != e1
| op(e0,e4) != e4
| e4 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e4),e1) ),[0],$fot(e4)]]) ).
cnf(refute_23_335,plain,
( op(e0,e4) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e4) )],[refute_23_249,refute_23_334]) ).
cnf(refute_23_336,plain,
( op(e3,e3) != e1
| e4 = e1 ),
inference(resolve,[$cnf( $equal(op(e0,e4),e1) )],[refute_23_333,refute_23_335]) ).
cnf(refute_23_337,plain,
( e4 != e1
| e1 = e4 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e4)),bind(Y,$fot(e1))]]) ).
cnf(refute_23_338,plain,
e4 != e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_23_337,refute_23_178]) ).
cnf(refute_23_339,plain,
op(e3,e3) != e1,
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_23_336,refute_23_338]) ).
cnf(refute_23_340,plain,
op(e2,e3) = e1,
inference(resolve,[$cnf( $equal(op(e3,e3),e1) )],[refute_23_322,refute_23_339]) ).
cnf(refute_23_341,plain,
op(op(e4,e3),e3) = op(op(e4,e3),e3),
introduced(tautology,[refl,[$fot(op(op(e4,e3),e3))]]) ).
cnf(refute_23_342,plain,
( op(e4,e3) != e2
| op(op(e4,e3),e3) != op(op(e4,e3),e3)
| op(op(e4,e3),e3) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e3),e3),op(op(e4,e3),e3)) ),[1,0],$fot(e2)]]) ).
cnf(refute_23_343,plain,
( op(e4,e3) != e2
| op(op(e4,e3),e3) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),e3),op(op(e4,e3),e3)) )],[refute_23_341,refute_23_342]) ).
cnf(refute_23_344,plain,
op(op(e4,e3),e3) = op(e2,e3),
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_23_305,refute_23_343]) ).
cnf(refute_23_345,plain,
( op(e2,e3) != e1
| op(op(e4,e3),e3) != op(e2,e3)
| op(op(e4,e3),e3) = e1 ),
inference(subst,[],[refute_23_17:[bind(X,$fot(op(op(e4,e3),e3))),bind(Y,$fot(op(e2,e3))),bind(Z,$fot(e1))]]) ).
cnf(refute_23_346,plain,
( op(e2,e3) != e1
| op(op(e4,e3),e3) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),e3),op(e2,e3)) )],[refute_23_344,refute_23_345]) ).
cnf(refute_23_347,plain,
op(op(e4,e3),e3) = e1,
inference(resolve,[$cnf( $equal(op(e2,e3),e1) )],[refute_23_340,refute_23_346]) ).
cnf(refute_23_348,plain,
( op(op(e4,e3),e3) != e1
| op(op(e4,e3),e3) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e4,e3),e3),e4) ),[0],$fot(e1)]]) ).
cnf(refute_23_349,plain,
( op(op(e4,e3),e3) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(op(e4,e3),e3),e1) )],[refute_23_347,refute_23_348]) ).
cnf(refute_23_350,plain,
e1 = e4,
inference(resolve,[$cnf( $equal(op(op(e4,e3),e3),e4) )],[refute_23_92,refute_23_349]) ).
cnf(refute_23_351,plain,
( e1 != e4
| e4 = e1 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e1)),bind(Y,$fot(e4))]]) ).
cnf(refute_23_352,plain,
e4 = e1,
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_23_350,refute_23_351]) ).
cnf(refute_23_353,plain,
( e4 != e1
| op(e1,e3) != e4
| op(e1,e3) = e1 ),
inference(subst,[],[refute_23_17:[bind(X,$fot(op(e1,e3))),bind(Y,$fot(e4)),bind(Z,$fot(e1))]]) ).
cnf(refute_23_354,plain,
( e4 != e1
| op(e1,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e1,e3),e4) )],[refute_23_299,refute_23_353]) ).
cnf(refute_23_355,plain,
op(e1,e3) = e1,
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_23_352,refute_23_354]) ).
cnf(refute_23_356,plain,
op(e4,e3) = op(e4,e3),
introduced(tautology,[refl,[$fot(op(e4,e3))]]) ).
cnf(refute_23_357,plain,
( e4 != e1
| op(e4,e3) != op(e4,e3)
| op(e4,e3) = op(e1,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e3),op(e4,e3)) ),[1,0],$fot(e1)]]) ).
cnf(refute_23_358,plain,
( e4 != e1
| op(e4,e3) = op(e1,e3) ),
inference(resolve,[$cnf( $equal(op(e4,e3),op(e4,e3)) )],[refute_23_356,refute_23_357]) ).
cnf(refute_23_359,plain,
op(e4,e3) = op(e1,e3),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_23_352,refute_23_358]) ).
cnf(refute_23_360,plain,
( op(e1,e3) != e1
| op(e4,e3) != op(e1,e3)
| op(e4,e3) = e1 ),
inference(subst,[],[refute_23_17:[bind(X,$fot(op(e4,e3))),bind(Y,$fot(op(e1,e3))),bind(Z,$fot(e1))]]) ).
cnf(refute_23_361,plain,
( op(e1,e3) != e1
| op(e4,e3) = e1 ),
inference(resolve,[$cnf( $equal(op(e4,e3),op(e1,e3)) )],[refute_23_359,refute_23_360]) ).
cnf(refute_23_362,plain,
op(e4,e3) = e1,
inference(resolve,[$cnf( $equal(op(e1,e3),e1) )],[refute_23_355,refute_23_361]) ).
cnf(refute_23_363,plain,
( op(e4,e3) != e1
| op(e4,e3) != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e3),e2) ),[0],$fot(e1)]]) ).
cnf(refute_23_364,plain,
( op(e4,e3) != e2
| e1 = e2 ),
inference(resolve,[$cnf( $equal(op(e4,e3),e1) )],[refute_23_362,refute_23_363]) ).
cnf(refute_23_365,plain,
e1 = e2,
inference(resolve,[$cnf( $equal(op(e4,e3),e2) )],[refute_23_305,refute_23_364]) ).
cnf(refute_23_366,plain,
( e1 != e2
| e2 = e1 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e1)),bind(Y,$fot(e2))]]) ).
cnf(refute_23_367,plain,
e2 = e1,
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_23_365,refute_23_366]) ).
cnf(refute_23_368,plain,
( e2 != e1
| op(e3,e1) != e2
| op(e3,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e2) ),[1],$fot(e1)]]) ).
cnf(refute_23_369,plain,
( op(e3,e1) != e2
| op(e3,e1) = e1 ),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_23_367,refute_23_368]) ).
cnf(refute_23_370,plain,
op(e3,e1) = e1,
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_23_154,refute_23_369]) ).
cnf(refute_23_371,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
inference(canonicalize,[],[normalize_23_61]) ).
cnf(refute_23_372,plain,
( op(e1,e1) != e0
| op(e1,e1) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e1),e4) ),[0],$fot(e0)]]) ).
cnf(refute_23_373,plain,
( op(e1,e1) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_23_25,refute_23_372]) ).
cnf(refute_23_374,plain,
( e0 = e4
| op(e0,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e4) )],[refute_23_371,refute_23_373]) ).
cnf(refute_23_375,plain,
e0 != e4,
inference(canonicalize,[],[normalize_23_62]) ).
cnf(refute_23_376,plain,
( op(e0,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_23_374,refute_23_375]) ).
cnf(refute_23_377,plain,
( op(e0,e1) != e1
| op(e0,e1) != e4
| e1 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),e4) ),[0],$fot(e1)]]) ).
cnf(refute_23_378,plain,
( op(e0,e1) != e4
| e1 = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_23_88,refute_23_377]) ).
cnf(refute_23_379,plain,
( e1 = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e4) )],[refute_23_376,refute_23_378]) ).
cnf(refute_23_380,plain,
( op(e3,e1) != e2
| op(e3,e1) != e4
| e2 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e4) ),[0],$fot(e2)]]) ).
cnf(refute_23_381,plain,
( op(e3,e1) != e4
| e2 = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e2) )],[refute_23_154,refute_23_380]) ).
cnf(refute_23_382,plain,
( e1 = e4
| e2 = e4
| op(e2,e1) = e4
| op(e4,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e4) )],[refute_23_379,refute_23_381]) ).
cnf(refute_23_383,plain,
( op(e4,e1) != e3
| op(e4,e1) != e4
| e3 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e4,e1),e4) ),[0],$fot(e3)]]) ).
cnf(refute_23_384,plain,
( op(e4,e1) != e4
| e3 = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e3) )],[refute_23_131,refute_23_383]) ).
cnf(refute_23_385,plain,
( e1 = e4
| e2 = e4
| e3 = e4
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(op(e4,e1),e4) )],[refute_23_382,refute_23_384]) ).
cnf(refute_23_386,plain,
( e2 = e4
| e3 = e4
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(e1,e4) )],[refute_23_385,refute_23_178]) ).
cnf(refute_23_387,plain,
( e3 = e4
| op(e2,e1) = e4 ),
inference(resolve,[$cnf( $equal(e2,e4) )],[refute_23_386,refute_23_257]) ).
cnf(refute_23_388,plain,
op(e2,e1) = e4,
inference(resolve,[$cnf( $equal(e3,e4) )],[refute_23_387,refute_23_62]) ).
cnf(refute_23_389,plain,
op(e2,e1) = op(e2,e1),
introduced(tautology,[refl,[$fot(op(e2,e1))]]) ).
cnf(refute_23_390,plain,
( e2 != e1
| op(e2,e1) != op(e2,e1)
| op(e2,e1) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),op(e2,e1)) ),[1,0],$fot(e1)]]) ).
cnf(refute_23_391,plain,
( e2 != e1
| op(e2,e1) = op(e1,e1) ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e2,e1)) )],[refute_23_389,refute_23_390]) ).
cnf(refute_23_392,plain,
op(e2,e1) = op(e1,e1),
inference(resolve,[$cnf( $equal(e2,e1) )],[refute_23_367,refute_23_391]) ).
cnf(refute_23_393,plain,
( op(e1,e1) != e0
| op(e2,e1) != op(e1,e1)
| op(e2,e1) = e0 ),
inference(subst,[],[refute_23_17:[bind(X,$fot(op(e2,e1))),bind(Y,$fot(op(e1,e1))),bind(Z,$fot(e0))]]) ).
cnf(refute_23_394,plain,
( op(e1,e1) != e0
| op(e2,e1) = e0 ),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e1,e1)) )],[refute_23_392,refute_23_393]) ).
cnf(refute_23_395,plain,
op(e2,e1) = e0,
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_23_25,refute_23_394]) ).
cnf(refute_23_396,plain,
( op(e2,e1) != e0
| op(e2,e1) != e4
| e0 = e4 ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e1),e4) ),[0],$fot(e0)]]) ).
cnf(refute_23_397,plain,
( op(e2,e1) != e4
| e0 = e4 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e0) )],[refute_23_395,refute_23_396]) ).
cnf(refute_23_398,plain,
( e0 != e4
| e4 != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,e1) ),[0],$fot(e4)]]) ).
cnf(refute_23_399,plain,
( e0 != e4
| e0 = e1 ),
inference(resolve,[$cnf( $equal(e4,e1) )],[refute_23_352,refute_23_398]) ).
cnf(refute_23_400,plain,
( op(e2,e1) != e4
| e0 = e1 ),
inference(resolve,[$cnf( $equal(e0,e4) )],[refute_23_397,refute_23_399]) ).
cnf(refute_23_401,plain,
e0 = e1,
inference(resolve,[$cnf( $equal(op(e2,e1),e4) )],[refute_23_388,refute_23_400]) ).
cnf(refute_23_402,plain,
( e0 != e1
| e1 = e0 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e0)),bind(Y,$fot(e1))]]) ).
cnf(refute_23_403,plain,
e1 = e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_23_401,refute_23_402]) ).
cnf(refute_23_404,plain,
op(e3,e1) = op(e3,e1),
introduced(tautology,[refl,[$fot(op(e3,e1))]]) ).
cnf(refute_23_405,plain,
( e1 != e0
| op(e3,e1) != op(e3,e1)
| op(e3,e1) = op(e3,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),op(e3,e1)) ),[1,1],$fot(e0)]]) ).
cnf(refute_23_406,plain,
( e1 != e0
| op(e3,e1) = op(e3,e0) ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e1)) )],[refute_23_404,refute_23_405]) ).
cnf(refute_23_407,plain,
op(e3,e1) = op(e3,e0),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_23_403,refute_23_406]) ).
cnf(refute_23_408,plain,
( op(e3,e0) != e3
| op(e3,e1) != op(e3,e0)
| op(e3,e1) = e3 ),
inference(subst,[],[refute_23_17:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(op(e3,e0))),bind(Z,$fot(e3))]]) ).
cnf(refute_23_409,plain,
( op(e3,e0) != e3
| op(e3,e1) = e3 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e3,e0)) )],[refute_23_407,refute_23_408]) ).
cnf(refute_23_410,plain,
op(e3,e1) = e3,
inference(resolve,[$cnf( $equal(op(e3,e0),e3) )],[refute_23_287,refute_23_409]) ).
cnf(refute_23_411,plain,
( op(e3,e1) != e1
| op(e3,e1) != e3
| e3 = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),e1) ),[0],$fot(e3)]]) ).
cnf(refute_23_412,plain,
( op(e3,e1) != e1
| e3 = e1 ),
inference(resolve,[$cnf( $equal(op(e3,e1),e3) )],[refute_23_410,refute_23_411]) ).
cnf(refute_23_413,plain,
( e1 != e0
| e3 != e1
| e3 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(e3,e1) ),[1],$fot(e0)]]) ).
cnf(refute_23_414,plain,
( e3 != e1
| e3 = e0 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_23_403,refute_23_413]) ).
cnf(refute_23_415,plain,
( op(e3,e1) != e1
| e3 = e0 ),
inference(resolve,[$cnf( $equal(e3,e1) )],[refute_23_412,refute_23_414]) ).
cnf(refute_23_416,plain,
e3 = e0,
inference(resolve,[$cnf( $equal(op(e3,e1),e1) )],[refute_23_370,refute_23_415]) ).
cnf(refute_23_417,plain,
e0 != e3,
inference(canonicalize,[],[normalize_23_63]) ).
cnf(refute_23_418,plain,
( e3 != e0
| e0 = e3 ),
inference(subst,[],[refute_23_5:[bind(X,$fot(e3)),bind(Y,$fot(e0))]]) ).
cnf(refute_23_419,plain,
e3 != e0,
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_23_418,refute_23_417]) ).
cnf(refute_23_420,plain,
$false,
inference(resolve,[$cnf( $equal(e3,e0) )],[refute_23_416,refute_23_419]) ).
fof(negate_24_0,plain,
~ ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ~ ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
& ~ ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
& ~ ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
& ~ ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
& ~ ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
& ~ ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
& ~ ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
& ~ ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
& ~ ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
& ~ ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
& ~ ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
& ~ ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
& ~ ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
& ~ ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
& ~ ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
& ~ ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
& ~ ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
& ~ ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
& ~ ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
& ~ ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
& ~ ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
& ~ ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
& ~ ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
& ~ ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
& op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4 )
=> op(op(e4,e4),e4) = e4 ),
inference(negate,[],[subgoal_24]) ).
fof(normalize_24_0,plain,
$false,
inference(canonicalize,[],[negate_24_0]) ).
cnf(refute_24_0,plain,
$false,
inference(canonicalize,[],[normalize_24_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG068+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 21:16:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 3.87/4.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.87/4.05
% 3.87/4.05 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.17/4.37
%------------------------------------------------------------------------------