TSTP Solution File: ALG112+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG112+1 : TPTP v5.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 03:54:40 EST 2010
% Result : Theorem 2.46s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 88
% Number of leaves : 22
% Syntax : Number of formulae : 754 ( 192 unt; 0 def)
% Number of atoms : 5256 (4813 equ)
% Maximal formula atoms : 1280 ( 6 avg)
% Number of connectives : 6954 (2452 ~;3759 |; 737 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/tmp/tmpz9V8TV/sel_ALG112+1.p_1',ax2) ).
fof(2,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/tmp/tmpz9V8TV/sel_ALG112+1.p_1',ax3) ).
fof(3,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/tmp/tmpz9V8TV/sel_ALG112+1.p_1',ax1) ).
fof(4,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/tmp/tmpz9V8TV/sel_ALG112+1.p_1',ax6) ).
fof(5,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/tmp/tmpz9V8TV/sel_ALG112+1.p_1',ax7) ).
fof(6,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/tmp/tmpz9V8TV/sel_ALG112+1.p_1',ax4) ).
fof(7,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/tmp/tmpz9V8TV/sel_ALG112+1.p_1',ax5) ).
fof(8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/tmp/tmpz9V8TV/sel_ALG112+1.p_1',ax8) ).
fof(10,axiom,
( h1(e11) = e20
& h1(e10) = op2(op2(e20,e20),e20)
& h1(e12) = op2(e20,e20)
& h1(e13) = op2(e20,op2(op2(e20,e20),e20)) ),
file('/tmp/tmpz9V8TV/sel_ALG112+1.p_1',ax14) ).
fof(12,axiom,
( h3(e11) = e22
& h3(e10) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e13) = op2(e22,op2(op2(e22,e22),e22)) ),
file('/tmp/tmpz9V8TV/sel_ALG112+1.p_1',ax16) ).
fof(13,axiom,
( h4(e11) = e23
& h4(e10) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = op2(e23,op2(op2(e23,e23),e23)) ),
file('/tmp/tmpz9V8TV/sel_ALG112+1.p_1',ax17) ).
fof(14,axiom,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 )
| ( op1(op1(e10,e13),op1(e10,e13)) = e10
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
file('/tmp/tmpz9V8TV/sel_ALG112+1.p_1',ax10) ).
fof(15,axiom,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 )
| ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 )
| ( op2(op2(e20,e23),op2(e20,e23)) = e20
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
file('/tmp/tmpz9V8TV/sel_ALG112+1.p_1',ax11) ).
fof(16,axiom,
( e10 = op1(op1(e11,e11),e11)
& e12 = op1(e11,e11)
& e13 = op1(e11,op1(op1(e11,e11),e11)) ),
file('/tmp/tmpz9V8TV/sel_ALG112+1.p_1',ax12) ).
fof(17,axiom,
( e20 = op2(op2(e21,e21),e21)
& e22 = op2(e21,e21)
& e23 = op2(e21,op2(op2(e21,e21),e21)) ),
file('/tmp/tmpz9V8TV/sel_ALG112+1.p_1',ax13) ).
fof(18,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/tmp/tmpz9V8TV/sel_ALG112+1.p_1',co1) ).
fof(19,negated_conjecture,
~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(assume_negation,[status(cth)],[18]) ).
fof(20,plain,
( epred1_0
=> ( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 ) ) ),
introduced(definition) ).
fof(21,plain,
( epred2_0
=> ( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 )
| ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 ) ) ),
introduced(definition) ).
fof(22,plain,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 ) )
=> epred3_0 ),
introduced(definition) ).
fof(23,plain,
( ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 ) )
=> epred4_0 ),
introduced(definition) ).
fof(24,plain,
( ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 ) )
=> epred5_0 ),
introduced(definition) ).
fof(25,plain,
( ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 ) )
=> epred6_0 ),
introduced(definition) ).
fof(26,plain,
( epred1_0
| ( op1(op1(e10,e13),op1(e10,e13)) = e10
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(apply_def,[status(esa)],[14,20,theory(equality)]) ).
fof(27,plain,
( epred2_0
| ( op2(op2(e20,e23),op2(e20,e23)) = e20
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(apply_def,[status(esa)],[15,21,theory(equality)]) ).
fof(28,negated_conjecture,
~ ( ( epred3_0
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( epred4_0
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( epred5_0
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( epred6_0
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[19,22,theory(equality)]),23,theory(equality)]),24,theory(equality)]),25,theory(equality)]) ).
cnf(29,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(30,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(34,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(35,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(36,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(37,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(38,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(39,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(40,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(42,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(49,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(50,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(54,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(55,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(56,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(57,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(59,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(60,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(61,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(63,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(64,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(66,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(68,plain,
( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(69,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(70,plain,
( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(73,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(75,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(76,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(79,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(81,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(82,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(84,plain,
( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(85,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(86,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(91,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(92,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(94,plain,
op2(e23,e21) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(96,plain,
op2(e23,e20) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(99,plain,
op2(e22,e22) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(100,plain,
op2(e22,e21) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(101,plain,
op2(e22,e21) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(103,plain,
op2(e22,e20) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(104,plain,
op2(e22,e20) != op2(e22,e21),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(106,plain,
op2(e21,e21) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(107,plain,
op2(e21,e21) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(108,plain,
op2(e21,e20) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(109,plain,
op2(e21,e20) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(112,plain,
op2(e20,e21) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(114,plain,
op2(e20,e20) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(116,plain,
op2(e20,e20) != op2(e20,e21),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(118,plain,
op2(e21,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(120,plain,
op2(e20,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(122,plain,
op2(e20,e23) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(125,plain,
op2(e21,e22) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(129,plain,
op2(e22,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(130,plain,
op2(e21,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(133,plain,
op2(e20,e21) != op2(e22,e21),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(134,plain,
op2(e20,e21) != op2(e21,e21),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(135,plain,
op2(e22,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(136,plain,
op2(e21,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(137,plain,
op2(e21,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(138,plain,
op2(e20,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(139,plain,
op2(e20,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(140,plain,
op2(e20,e20) != op2(e21,e20),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(141,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(142,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(143,plain,
e11 != e12,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(144,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(145,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(146,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(147,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(149,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(153,plain,
( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(154,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(156,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(158,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(167,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(168,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(174,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(175,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(177,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(180,plain,
op1(e13,e11) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(181,plain,
op1(e13,e11) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(182,plain,
op1(e13,e10) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(185,plain,
op1(e12,e12) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(186,plain,
op1(e12,e11) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(187,plain,
op1(e12,e11) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(188,plain,
op1(e12,e10) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(189,plain,
op1(e12,e10) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(190,plain,
op1(e12,e10) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(192,plain,
op1(e11,e11) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(193,plain,
op1(e11,e11) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(194,plain,
op1(e11,e10) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(195,plain,
op1(e11,e10) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(198,plain,
op1(e10,e11) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(200,plain,
op1(e10,e10) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(202,plain,
op1(e10,e10) != op1(e10,e11),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(203,plain,
op1(e12,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(204,plain,
op1(e11,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(205,plain,
op1(e11,e13) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(208,plain,
op1(e10,e13) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(211,plain,
op1(e11,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(213,plain,
op1(e10,e12) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(215,plain,
op1(e12,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(216,plain,
op1(e11,e11) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(219,plain,
op1(e10,e11) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(220,plain,
op1(e10,e11) != op1(e11,e11),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(221,plain,
op1(e12,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(222,plain,
op1(e11,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(223,plain,
op1(e11,e10) != op1(e12,e10),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(224,plain,
op1(e10,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(225,plain,
op1(e10,e10) != op1(e12,e10),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(226,plain,
op1(e10,e10) != op1(e11,e10),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(227,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(228,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(229,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(230,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(231,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(232,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(249,plain,
h1(e13) = op2(e20,op2(op2(e20,e20),e20)),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(250,plain,
h1(e12) = op2(e20,e20),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(251,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(257,plain,
h3(e13) = op2(e22,op2(op2(e22,e22),e22)),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(258,plain,
h3(e12) = op2(e22,e22),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(259,plain,
h3(e10) = op2(op2(e22,e22),e22),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(260,plain,
h3(e11) = e22,
inference(split_conjunct,[status(thm)],[12]) ).
cnf(261,plain,
h4(e13) = op2(e23,op2(op2(e23,e23),e23)),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(262,plain,
h4(e12) = op2(e23,e23),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(263,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(split_conjunct,[status(thm)],[13]) ).
fof(265,plain,
( ( op1(op1(e10,e13),op1(e10,e13)) = e10
| epred1_0 )
& ( op1(op1(e11,e13),op1(e11,e13)) = e11
| epred1_0 )
& ( op1(op1(e12,e13),op1(e12,e13)) = e12
| epred1_0 )
& ( op1(op1(e13,e13),op1(e13,e13)) = e13
| epred1_0 ) ),
inference(distribute,[status(thm)],[26]) ).
cnf(268,plain,
( epred1_0
| op1(op1(e11,e13),op1(e11,e13)) = e11 ),
inference(split_conjunct,[status(thm)],[265]) ).
cnf(269,plain,
( epred1_0
| op1(op1(e10,e13),op1(e10,e13)) = e10 ),
inference(split_conjunct,[status(thm)],[265]) ).
fof(270,plain,
( ( op2(op2(e20,e23),op2(e20,e23)) = e20
| epred2_0 )
& ( op2(op2(e21,e23),op2(e21,e23)) = e21
| epred2_0 )
& ( op2(op2(e22,e23),op2(e22,e23)) = e22
| epred2_0 )
& ( op2(op2(e23,e23),op2(e23,e23)) = e23
| epred2_0 ) ),
inference(distribute,[status(thm)],[27]) ).
cnf(271,plain,
( epred2_0
| op2(op2(e23,e23),op2(e23,e23)) = e23 ),
inference(split_conjunct,[status(thm)],[270]) ).
cnf(272,plain,
( epred2_0
| op2(op2(e22,e23),op2(e22,e23)) = e22 ),
inference(split_conjunct,[status(thm)],[270]) ).
cnf(273,plain,
( epred2_0
| op2(op2(e21,e23),op2(e21,e23)) = e21 ),
inference(split_conjunct,[status(thm)],[270]) ).
cnf(274,plain,
( epred2_0
| op2(op2(e20,e23),op2(e20,e23)) = e20 ),
inference(split_conjunct,[status(thm)],[270]) ).
cnf(275,plain,
e13 = op1(e11,op1(op1(e11,e11),e11)),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(276,plain,
e12 = op1(e11,e11),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(277,plain,
e10 = op1(op1(e11,e11),e11),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(278,plain,
e23 = op2(e21,op2(op2(e21,e21),e21)),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(279,plain,
e22 = op2(e21,e21),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(280,plain,
e20 = op2(op2(e21,e21),e21),
inference(split_conjunct,[status(thm)],[17]) ).
fof(281,negated_conjecture,
( ( ~ epred3_0
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( ~ epred4_0
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( ~ epred5_0
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( ~ epred6_0
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(282,negated_conjecture,
( ( h1(e10) != e23
| ~ epred3_0 )
& ( h1(e11) != e23
| ~ epred3_0 )
& ( h1(e12) != e23
| ~ epred3_0 )
& ( h1(e13) != e23
| ~ epred3_0 )
& ( h2(e10) != e23
| ~ epred4_0 )
& ( h2(e11) != e23
| ~ epred4_0 )
& ( h2(e12) != e23
| ~ epred4_0 )
& ( h2(e13) != e23
| ~ epred4_0 )
& ( h3(e10) != e23
| ~ epred5_0 )
& ( h3(e11) != e23
| ~ epred5_0 )
& ( h3(e12) != e23
| ~ epred5_0 )
& ( h3(e13) != e23
| ~ epred5_0 )
& ( h4(e10) != e23
| ~ epred6_0 )
& ( h4(e11) != e23
| ~ epred6_0 )
& ( h4(e12) != e23
| ~ epred6_0 )
& ( h4(e13) != e23
| ~ epred6_0 ) ),
inference(distribute,[status(thm)],[281]) ).
cnf(288,negated_conjecture,
( ~ epred5_0
| h3(e12) != e23 ),
inference(split_conjunct,[status(thm)],[282]) ).
fof(299,plain,
( ~ epred1_0
| ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(300,plain,
( ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e12,e10),op1(e12,e10)) = e12
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e10,e11),op1(e10,e11)) = e10
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[299]) ).
cnf(304,plain,
( op1(op1(e13,e10),op1(e13,e10)) = e13
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e10,e12),op1(e10,e12)) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[300]) ).
cnf(337,plain,
( op1(op1(e11,e10),op1(e11,e10)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e13,e12),op1(e13,e12)) = e13
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[300]) ).
cnf(339,plain,
( op1(op1(e11,e10),op1(e11,e10)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e11,e12),op1(e11,e12)) = e11
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[300]) ).
cnf(341,plain,
( op1(op1(e11,e10),op1(e11,e10)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e13,e12),op1(e13,e12)) = e13
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[300]) ).
cnf(342,plain,
( op1(op1(e11,e10),op1(e11,e10)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e12),op1(e12,e12)) = e12
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[300]) ).
cnf(343,plain,
( op1(op1(e11,e10),op1(e11,e10)) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e12),op1(e11,e12)) = e11
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[300]) ).
cnf(351,plain,
( op1(op1(e10,e10),op1(e10,e10)) = e10
| op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e11
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[300]) ).
fof(365,plain,
( ~ epred2_0
| ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 )
| ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(366,plain,
( ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e22,e20),op2(e22,e20)) = e22
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e20,e21),op2(e20,e21)) = e20
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e20
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e22,e22),op2(e22,e22)) = e22
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e23
| op2(op2(e23,e21),op2(e23,e21)) = e23
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[365]) ).
cnf(377,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e22),op2(e21,e22)) = e21
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[366]) ).
cnf(405,plain,
( op2(op2(e21,e20),op2(e21,e20)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e21,e22),op2(e21,e22)) = e21
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[366]) ).
cnf(406,plain,
( op2(op2(e21,e20),op2(e21,e20)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| op2(op2(e20,e22),op2(e20,e22)) = e20
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[366]) ).
cnf(409,plain,
( op2(op2(e21,e20),op2(e21,e20)) = e21
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e22),op2(e21,e22)) = e21
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[366]) ).
cnf(424,plain,
( op2(op2(e20,e20),op2(e20,e20)) = e20
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e22),op2(e22,e22)) = e22
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[366]) ).
fof(563,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| epred5_0 ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(564,plain,
( ( h3(e10) != e22
| h3(e10) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e11) != e22
| h3(e10) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e12) != e22
| h3(e10) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e13) != e22
| h3(e10) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e10) != e22
| h3(e11) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e11) != e22
| h3(e11) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e12) != e22
| h3(e11) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e13) != e22
| h3(e11) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e10) != e22
| h3(e12) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e11) != e22
| h3(e12) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e12) != e22
| h3(e12) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e13) != e22
| h3(e12) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e10) != e22
| h3(e13) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e11) != e22
| h3(e13) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e12) != e22
| h3(e13) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e13) != e22
| h3(e13) != e21
| h3(e10) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e10) != e22
| h3(e10) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e11) != e22
| h3(e10) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e12) != e22
| h3(e10) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e13) != e22
| h3(e10) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e10) != e22
| h3(e11) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e11) != e22
| h3(e11) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e12) != e22
| h3(e11) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e13) != e22
| h3(e11) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e10) != e22
| h3(e12) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e11) != e22
| h3(e12) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e12) != e22
| h3(e12) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e13) != e22
| h3(e12) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e10) != e22
| h3(e13) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e11) != e22
| h3(e13) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e12) != e22
| h3(e13) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e13) != e22
| h3(e13) != e21
| h3(e11) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e10) != e22
| h3(e10) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e11) != e22
| h3(e10) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e12) != e22
| h3(e10) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e13) != e22
| h3(e10) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e10) != e22
| h3(e11) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e11) != e22
| h3(e11) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e12) != e22
| h3(e11) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e13) != e22
| h3(e11) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e10) != e22
| h3(e12) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e11) != e22
| h3(e12) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e12) != e22
| h3(e12) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e13) != e22
| h3(e12) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e10) != e22
| h3(e13) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e11) != e22
| h3(e13) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e12) != e22
| h3(e13) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e13) != e22
| h3(e13) != e21
| h3(e12) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e10) != e22
| h3(e10) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e11) != e22
| h3(e10) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e12) != e22
| h3(e10) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e13) != e22
| h3(e10) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e10) != e22
| h3(e11) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e11) != e22
| h3(e11) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e12) != e22
| h3(e11) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e13) != e22
| h3(e11) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e10) != e22
| h3(e12) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e11) != e22
| h3(e12) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e12) != e22
| h3(e12) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e13) != e22
| h3(e12) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e10) != e22
| h3(e13) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e11) != e22
| h3(e13) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e12) != e22
| h3(e13) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 )
& ( h3(e13) != e22
| h3(e13) != e21
| h3(e13) != e20
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| epred5_0 ) ),
inference(distribute,[status(thm)],[563]) ).
cnf(615,plain,
( epred5_0
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(e10) != e20
| h3(e13) != e21
| h3(e11) != e22 ),
inference(split_conjunct,[status(thm)],[564]) ).
cnf(696,plain,
op1(e12,e11) = e10,
inference(rw,[status(thm)],[277,276,theory(equality)]) ).
cnf(697,plain,
op2(h4(e12),e23) = h4(e10),
inference(rw,[status(thm)],[263,262,theory(equality)]) ).
cnf(698,plain,
op1(e11,e10) = e13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[275,276,theory(equality)]),696,theory(equality)]) ).
cnf(699,plain,
op2(e22,e21) = e20,
inference(rw,[status(thm)],[280,279,theory(equality)]) ).
cnf(700,plain,
op2(h1(e12),e20) = h1(e10),
inference(rw,[status(thm)],[251,250,theory(equality)]) ).
cnf(705,plain,
op2(h3(e12),e22) = h3(e10),
inference(rw,[status(thm)],[259,258,theory(equality)]) ).
cnf(706,plain,
op2(e23,h4(e10)) = h4(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[261,262,theory(equality)]),697,theory(equality)]) ).
cnf(711,plain,
( op2(h4(e12),h4(e12)) = e23
| epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[271,262,theory(equality)]),262,theory(equality)]) ).
cnf(712,plain,
op2(e21,e20) = e23,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[278,279,theory(equality)]),699,theory(equality)]) ).
cnf(713,plain,
e13 != op1(e10,e10),
inference(rw,[status(thm)],[226,698,theory(equality)]) ).
cnf(714,plain,
e12 != op1(e10,e11),
inference(rw,[status(thm)],[220,276,theory(equality)]) ).
cnf(717,plain,
op1(e11,e12) != e13,
inference(rw,[status(thm)],[195,698,theory(equality)]) ).
cnf(718,plain,
op1(e11,e12) != e12,
inference(rw,[status(thm)],[193,276,theory(equality)]) ).
cnf(719,plain,
op1(e11,e13) != e13,
inference(rw,[status(thm)],[194,698,theory(equality)]) ).
cnf(720,plain,
op2(e20,h1(e10)) = h1(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[249,250,theory(equality)]),700,theory(equality)]) ).
cnf(724,plain,
op2(e22,h3(e10)) = h3(e13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[257,258,theory(equality)]),705,theory(equality)]) ).
cnf(725,plain,
op1(e11,e13) != e12,
inference(rw,[status(thm)],[192,276,theory(equality)]) ).
cnf(726,plain,
op1(e12,e10) != e13,
inference(rw,[status(thm)],[223,698,theory(equality)]) ).
cnf(727,plain,
e10 != op1(e10,e11),
inference(rw,[status(thm)],[219,696,theory(equality)]) ).
cnf(730,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[92,713,theory(equality)]) ).
cnf(737,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[60,727,theory(equality)]) ).
cnf(742,plain,
( op1(e10,e10) = e10
| e13 = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(rw,[status(thm)],[59,698,theory(equality)]) ).
cnf(743,plain,
( op1(e10,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[742,144,theory(equality)]) ).
cnf(748,plain,
e10 != op1(e12,e10),
inference(rw,[status(thm)],[190,696,theory(equality)]) ).
cnf(749,plain,
( op1(e13,e10) = e10
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[743,748,theory(equality)]) ).
cnf(750,plain,
op1(e12,e12) != e10,
inference(rw,[status(thm)],[187,696,theory(equality)]) ).
cnf(756,plain,
( op1(e10,e10) = e11
| e13 = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(rw,[status(thm)],[57,698,theory(equality)]) ).
cnf(757,plain,
( op1(e10,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(sr,[status(thm)],[756,142,theory(equality)]) ).
cnf(764,plain,
( op1(e10,e10) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(sr,[status(thm)],[56,714,theory(equality)]) ).
cnf(773,plain,
op1(e12,e13) != e10,
inference(rw,[status(thm)],[186,696,theory(equality)]) ).
cnf(778,plain,
op1(e13,e10) != e13,
inference(rw,[status(thm)],[222,698,theory(equality)]) ).
cnf(779,plain,
( op1(e10,e10) = e12
| e13 = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(rw,[status(thm)],[55,698,theory(equality)]) ).
cnf(780,plain,
( op1(e10,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(sr,[status(thm)],[779,141,theory(equality)]) ).
cnf(790,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(sr,[status(thm)],[54,713,theory(equality)]) ).
cnf(801,plain,
op1(e13,e11) != e12,
inference(rw,[status(thm)],[216,276,theory(equality)]) ).
cnf(802,plain,
op1(e13,e11) != e10,
inference(rw,[status(thm)],[215,696,theory(equality)]) ).
cnf(803,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(sr,[status(thm)],[91,727,theory(equality)]) ).
cnf(804,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(sr,[status(thm)],[803,714,theory(equality)]) ).
cnf(806,plain,
( op1(e10,e11) = e13
| e11 != op1(e10,e10) ),
inference(spm,[status(thm)],[202,804,theory(equality)]) ).
cnf(816,plain,
( op1(e10,e11) = e11
| e12 = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(rw,[status(thm)],[49,276,theory(equality)]) ).
cnf(817,plain,
( op1(e10,e11) = e11
| e12 = e11
| e10 = e11
| op1(e13,e11) = e11 ),
inference(rw,[status(thm)],[816,696,theory(equality)]) ).
cnf(818,plain,
( op1(e10,e11) = e11
| e11 = e10
| op1(e13,e11) = e11 ),
inference(sr,[status(thm)],[817,143,theory(equality)]) ).
cnf(819,plain,
( op1(e10,e11) = e11
| op1(e13,e11) = e11 ),
inference(sr,[status(thm)],[818,146,theory(equality)]) ).
cnf(820,plain,
( op1(e13,e11) = e11
| e11 != op1(e10,e10) ),
inference(spm,[status(thm)],[202,819,theory(equality)]) ).
cnf(826,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| e11 = e13
| op1(e13,e11) = e11 ),
inference(spm,[status(thm)],[790,819,theory(equality)]) ).
cnf(827,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e13,e11) = e11 ),
inference(sr,[status(thm)],[826,142,theory(equality)]) ).
cnf(850,plain,
h4(e12) != op2(e20,e23),
inference(rw,[status(thm)],[120,262,theory(equality)]) ).
cnf(851,plain,
h4(e12) != op2(e21,e23),
inference(rw,[status(thm)],[118,262,theory(equality)]) ).
cnf(867,plain,
( op1(e10,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(sr,[status(thm)],[39,718,theory(equality)]) ).
cnf(871,plain,
op2(e20,e21) != h1(e12),
inference(rw,[status(thm)],[116,250,theory(equality)]) ).
cnf(874,plain,
h4(e12) != op2(e23,e20),
inference(rw,[status(thm)],[96,262,theory(equality)]) ).
cnf(875,plain,
h4(e12) != op2(e23,e21),
inference(rw,[status(thm)],[94,262,theory(equality)]) ).
cnf(877,plain,
( op1(e10,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[37,717,theory(equality)]) ).
cnf(881,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| e13 = e12
| op1(e13,e12) = e13
| op1(e12,e12) = e13 ),
inference(spm,[status(thm)],[867,877,theory(equality)]) ).
cnf(882,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e13
| op1(e12,e12) = e13 ),
inference(sr,[status(thm)],[881,141,theory(equality)]) ).
cnf(891,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e13,e13) = e10 ),
inference(sr,[status(thm)],[35,773,theory(equality)]) ).
cnf(898,plain,
op2(e20,e23) != h1(e12),
inference(rw,[status(thm)],[114,250,theory(equality)]) ).
cnf(914,plain,
( op1(e10,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(sr,[status(thm)],[29,719,theory(equality)]) ).
cnf(920,plain,
op2(e21,e23) != e23,
inference(rw,[status(thm)],[108,712,theory(equality)]) ).
cnf(921,plain,
op2(e21,e23) != e22,
inference(rw,[status(thm)],[106,279,theory(equality)]) ).
cnf(938,plain,
( e13 = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(rw,[status(thm)],[50,698,theory(equality)]) ).
cnf(939,plain,
( e13 = e11
| e12 = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(rw,[status(thm)],[938,276,theory(equality)]) ).
cnf(940,plain,
( e11 = e12
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(sr,[status(thm)],[939,142,theory(equality)]) ).
cnf(941,plain,
( op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(sr,[status(thm)],[940,143,theory(equality)]) ).
cnf(946,plain,
( op1(e11,e13) = e11
| e11 != op1(e12,e12) ),
inference(spm,[status(thm)],[211,941,theory(equality)]) ).
cnf(952,plain,
e23 != op2(e20,e20),
inference(rw,[status(thm)],[140,712,theory(equality)]) ).
cnf(953,plain,
e23 != h1(e12),
inference(rw,[status(thm)],[952,250,theory(equality)]) ).
cnf(954,plain,
e22 != op2(e20,e21),
inference(rw,[status(thm)],[134,279,theory(equality)]) ).
cnf(955,plain,
op2(e22,e23) != e20,
inference(rw,[status(thm)],[100,699,theory(equality)]) ).
cnf(956,plain,
op2(e22,e23) != h3(e12),
inference(rw,[status(thm)],[99,258,theory(equality)]) ).
cnf(967,plain,
op2(e23,e20) != h1(e12),
inference(rw,[status(thm)],[138,250,theory(equality)]) ).
cnf(968,plain,
op2(e23,e20) != e23,
inference(rw,[status(thm)],[136,712,theory(equality)]) ).
cnf(969,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e13 ),
inference(sr,[status(thm)],[86,718,theory(equality)]) ).
cnf(970,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11 ),
inference(sr,[status(thm)],[969,717,theory(equality)]) ).
cnf(976,plain,
( op1(e11,e12) = e10
| e11 != op1(e12,e12) ),
inference(spm,[status(thm)],[211,970,theory(equality)]) ).
cnf(982,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e13 ),
inference(sr,[status(thm)],[85,725,theory(equality)]) ).
cnf(983,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11 ),
inference(sr,[status(thm)],[982,719,theory(equality)]) ).
cnf(989,plain,
( op1(e11,e13) = e10
| e11 != op1(e13,e13) ),
inference(spm,[status(thm)],[204,983,theory(equality)]) ).
cnf(990,plain,
( op1(e11,e11) = e11
| epred1_0
| op1(e11,e13) = e10 ),
inference(spm,[status(thm)],[268,983,theory(equality)]) ).
cnf(992,plain,
( e12 = e11
| epred1_0
| op1(e11,e13) = e10 ),
inference(rw,[status(thm)],[990,276,theory(equality)]) ).
cnf(993,plain,
( epred1_0
| op1(e11,e13) = e10 ),
inference(sr,[status(thm)],[992,143,theory(equality)]) ).
cnf(995,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(sr,[status(thm)],[84,748,theory(equality)]) ).
cnf(996,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(sr,[status(thm)],[995,726,theory(equality)]) ).
cnf(1000,plain,
( op1(e12,e10) = e12
| e11 != op1(e12,e12) ),
inference(spm,[status(thm)],[189,996,theory(equality)]) ).
cnf(1001,plain,
( op1(e12,e10) = e12
| e11 != op1(e12,e13) ),
inference(spm,[status(thm)],[188,996,theory(equality)]) ).
cnf(1002,plain,
( op1(e12,e10) = e12
| e11 != op1(e13,e10) ),
inference(spm,[status(thm)],[221,996,theory(equality)]) ).
cnf(1003,plain,
op2(e21,e22) != e23,
inference(rw,[status(thm)],[109,712,theory(equality)]) ).
cnf(1004,plain,
op2(e21,e22) != e22,
inference(rw,[status(thm)],[107,279,theory(equality)]) ).
cnf(1005,plain,
op2(e23,e21) != e22,
inference(rw,[status(thm)],[130,279,theory(equality)]) ).
cnf(1006,plain,
op2(e23,e21) != e20,
inference(rw,[status(thm)],[129,699,theory(equality)]) ).
cnf(1008,plain,
( op1(e12,e10) = e11
| e10 = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(rw,[status(thm)],[42,696,theory(equality)]) ).
cnf(1009,plain,
( op1(e12,e10) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(sr,[status(thm)],[1008,146,theory(equality)]) ).
cnf(1015,plain,
( op1(e12,e10) = e12
| e10 = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(rw,[status(thm)],[40,696,theory(equality)]) ).
cnf(1016,plain,
( op1(e12,e10) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(sr,[status(thm)],[1015,145,theory(equality)]) ).
cnf(1022,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| e12 = e11
| op1(e12,e13) = e12
| op1(e12,e12) = e12 ),
inference(spm,[status(thm)],[1009,1016,theory(equality)]) ).
cnf(1023,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e12
| op1(e12,e12) = e12 ),
inference(sr,[status(thm)],[1022,143,theory(equality)]) ).
cnf(1024,plain,
op2(e22,e20) != h1(e12),
inference(rw,[status(thm)],[139,250,theory(equality)]) ).
cnf(1025,plain,
op2(e22,e20) != e23,
inference(rw,[status(thm)],[137,712,theory(equality)]) ).
cnf(1027,plain,
e20 != op2(e20,e21),
inference(rw,[status(thm)],[133,699,theory(equality)]) ).
cnf(1030,plain,
e20 != op2(e22,e20),
inference(rw,[status(thm)],[104,699,theory(equality)]) ).
cnf(1031,plain,
( op1(e12,e10) = e13
| e10 = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(rw,[status(thm)],[38,696,theory(equality)]) ).
cnf(1032,plain,
( e10 = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(sr,[status(thm)],[1031,726,theory(equality)]) ).
cnf(1033,plain,
( op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(sr,[status(thm)],[1032,144,theory(equality)]) ).
cnf(1041,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(sr,[status(thm)],[82,750,theory(equality)]) ).
cnf(1045,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| e11 != op1(e12,e13) ),
inference(spm,[status(thm)],[185,1041,theory(equality)]) ).
cnf(1050,plain,
h3(e12) != op2(e21,e22),
inference(rw,[status(thm)],[125,258,theory(equality)]) ).
cnf(1051,plain,
h3(e12) != op2(e22,e20),
inference(rw,[status(thm)],[103,258,theory(equality)]) ).
cnf(1052,plain,
h3(e12) != op2(e22,e21),
inference(rw,[status(thm)],[101,258,theory(equality)]) ).
cnf(1053,plain,
h3(e12) != e20,
inference(rw,[status(thm)],[1052,699,theory(equality)]) ).
cnf(1054,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(sr,[status(thm)],[81,773,theory(equality)]) ).
cnf(1058,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| e11 != op1(e13,e13) ),
inference(spm,[status(thm)],[203,1054,theory(equality)]) ).
cnf(1067,plain,
( op1(e13,e10) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(sr,[status(thm)],[36,802,theory(equality)]) ).
cnf(1082,plain,
( op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(sr,[status(thm)],[30,778,theory(equality)]) ).
cnf(1088,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| e13 = e11
| op1(e13,e10) = e11
| op1(e13,e13) = e13
| op1(e13,e12) = e13 ),
inference(spm,[status(thm)],[34,1082,theory(equality)]) ).
cnf(1089,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e10) = e11
| op1(e13,e13) = e13
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[1088,142,theory(equality)]) ).
cnf(1090,plain,
( op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(sr,[status(thm)],[79,802,theory(equality)]) ).
cnf(1091,plain,
( op1(e13,e11) = e11
| op1(e13,e11) = e13 ),
inference(sr,[status(thm)],[1090,801,theory(equality)]) ).
cnf(1097,plain,
( op1(e13,e11) = e13
| e11 != op1(e13,e13) ),
inference(spm,[status(thm)],[180,1091,theory(equality)]) ).
cnf(1110,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| h4(e12) = e23 ),
inference(rw,[status(thm)],[147,262,theory(equality)]) ).
cnf(1111,plain,
( op2(e20,e23) = e23
| op2(e22,e23) = e23
| h4(e12) = e23 ),
inference(sr,[status(thm)],[1110,920,theory(equality)]) ).
cnf(1115,plain,
( op2(e20,e23) = e23
| h4(e12) = e23
| e23 != h3(e12) ),
inference(spm,[status(thm)],[956,1111,theory(equality)]) ).
cnf(1125,plain,
( h4(e12) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
inference(rw,[status(thm)],[61,262,theory(equality)]) ).
cnf(1126,plain,
( h4(e12) = e20
| h4(e12) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
inference(rw,[status(thm)],[1125,262,theory(equality)]) ).
cnf(1127,plain,
( h4(e12) = e20
| h4(e12) = e21
| h4(e12) = e22
| op2(e23,e23) = e23 ),
inference(rw,[status(thm)],[1126,262,theory(equality)]) ).
cnf(1128,plain,
( h4(e12) = e20
| h4(e12) = e21
| h4(e12) = e22
| h4(e12) = e23 ),
inference(rw,[status(thm)],[1127,262,theory(equality)]) ).
cnf(1132,plain,
( op2(e21,e23) = h4(e10)
| h4(e12) = e23
| h4(e12) = e22
| h4(e12) = e20 ),
inference(spm,[status(thm)],[697,1128,theory(equality)]) ).
cnf(1146,plain,
( h1(e12) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(rw,[status(thm)],[76,250,theory(equality)]) ).
cnf(1147,plain,
( h1(e12) = e20
| h1(e12) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(rw,[status(thm)],[1146,250,theory(equality)]) ).
cnf(1148,plain,
( h1(e12) = e20
| h1(e12) = e21
| h1(e12) = e22
| op2(e20,e20) = e23 ),
inference(rw,[status(thm)],[1147,250,theory(equality)]) ).
cnf(1149,plain,
( h1(e12) = e20
| h1(e12) = e21
| h1(e12) = e22
| h1(e12) = e23 ),
inference(rw,[status(thm)],[1148,250,theory(equality)]) ).
cnf(1150,plain,
( h1(e12) = e20
| h1(e12) = e21
| h1(e12) = e22 ),
inference(sr,[status(thm)],[1149,953,theory(equality)]) ).
cnf(1186,plain,
( op2(e21,e21) = e20
| epred2_0
| op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e20 ),
inference(spm,[status(thm)],[274,73,theory(equality)]) ).
cnf(1187,plain,
( e22 = e20
| epred2_0
| op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e20 ),
inference(rw,[status(thm)],[1186,279,theory(equality)]) ).
cnf(1188,plain,
( epred2_0
| op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e20 ),
inference(sr,[status(thm)],[1187,231,theory(equality)]) ).
cnf(1189,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| h4(e12) = e20 ),
inference(rw,[status(thm)],[153,262,theory(equality)]) ).
cnf(1190,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| h4(e12) = e20 ),
inference(sr,[status(thm)],[1189,955,theory(equality)]) ).
cnf(1209,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| h4(e12) = e22 ),
inference(rw,[status(thm)],[149,262,theory(equality)]) ).
cnf(1210,plain,
( op2(e20,e23) = e22
| op2(e22,e23) = e22
| h4(e12) = e22 ),
inference(sr,[status(thm)],[1209,921,theory(equality)]) ).
cnf(1214,plain,
( op2(e20,e23) = e22
| h4(e12) = e22
| e22 != h3(e12) ),
inference(spm,[status(thm)],[956,1210,theory(equality)]) ).
cnf(1221,plain,
( h1(e12) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(rw,[status(thm)],[177,250,theory(equality)]) ).
cnf(1222,plain,
( h1(e12) = e20
| e23 = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(rw,[status(thm)],[1221,712,theory(equality)]) ).
cnf(1223,plain,
( h1(e12) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(sr,[status(thm)],[1222,230,theory(equality)]) ).
cnf(1224,plain,
( h1(e12) = e20
| op2(e23,e20) = e20 ),
inference(sr,[status(thm)],[1223,1030,theory(equality)]) ).
cnf(1225,plain,
( h1(e12) = e20
| e20 != h4(e12) ),
inference(spm,[status(thm)],[874,1224,theory(equality)]) ).
cnf(1239,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e23 ),
inference(sr,[status(thm)],[69,921,theory(equality)]) ).
cnf(1240,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21 ),
inference(sr,[status(thm)],[1239,920,theory(equality)]) ).
cnf(1242,plain,
( op2(e21,e23) = e20
| e21 != h4(e12) ),
inference(spm,[status(thm)],[851,1240,theory(equality)]) ).
cnf(1247,plain,
( op2(e21,e21) = e21
| epred2_0
| op2(e21,e23) = e20 ),
inference(spm,[status(thm)],[273,1240,theory(equality)]) ).
cnf(1249,plain,
( e22 = e21
| epred2_0
| op2(e21,e23) = e20 ),
inference(rw,[status(thm)],[1247,279,theory(equality)]) ).
cnf(1250,plain,
( epred2_0
| op2(e21,e23) = e20 ),
inference(sr,[status(thm)],[1249,229,theory(equality)]) ).
cnf(1252,plain,
( op2(e22,e20) = e23
| e20 = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 ),
inference(rw,[status(thm)],[156,699,theory(equality)]) ).
cnf(1253,plain,
( op2(e22,e20) = e23
| e20 = e23
| h3(e12) = e23
| op2(e22,e23) = e23 ),
inference(rw,[status(thm)],[1252,258,theory(equality)]) ).
cnf(1254,plain,
( e20 = e23
| h3(e12) = e23
| op2(e22,e23) = e23 ),
inference(sr,[status(thm)],[1253,1025,theory(equality)]) ).
cnf(1255,plain,
( h3(e12) = e23
| op2(e22,e23) = e23 ),
inference(sr,[status(thm)],[1254,230,theory(equality)]) ).
cnf(1260,plain,
( op2(e23,e23) = e22
| epred2_0
| h3(e12) = e23 ),
inference(spm,[status(thm)],[272,1255,theory(equality)]) ).
cnf(1262,plain,
( h4(e12) = e22
| epred2_0
| h3(e12) = e23 ),
inference(rw,[status(thm)],[1260,262,theory(equality)]) ).
cnf(1279,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22 ),
inference(sr,[status(thm)],[64,968,theory(equality)]) ).
cnf(1282,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e20
| e21 != h4(e12) ),
inference(spm,[status(thm)],[874,1279,theory(equality)]) ).
cnf(1283,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e20
| e21 != h1(e12) ),
inference(spm,[status(thm)],[967,1279,theory(equality)]) ).
cnf(1287,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| h4(e12) = e20 ),
inference(rw,[status(thm)],[154,262,theory(equality)]) ).
cnf(1288,plain,
( op2(e23,e20) = e20
| op2(e23,e22) = e20
| h4(e12) = e20 ),
inference(sr,[status(thm)],[1287,1006,theory(equality)]) ).
cnf(1307,plain,
( h1(e12) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(rw,[status(thm)],[175,250,theory(equality)]) ).
cnf(1308,plain,
( h1(e12) = e21
| e23 = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(rw,[status(thm)],[1307,712,theory(equality)]) ).
cnf(1309,plain,
( h1(e12) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(sr,[status(thm)],[1308,228,theory(equality)]) ).
cnf(1316,plain,
( h1(e12) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(rw,[status(thm)],[174,250,theory(equality)]) ).
cnf(1317,plain,
( h1(e12) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(sr,[status(thm)],[1316,954,theory(equality)]) ).
cnf(1326,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(sr,[status(thm)],[63,1006,theory(equality)]) ).
cnf(1327,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e23 ),
inference(sr,[status(thm)],[1326,1005,theory(equality)]) ).
cnf(1357,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(sr,[status(thm)],[75,1027,theory(equality)]) ).
cnf(1358,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(sr,[status(thm)],[1357,954,theory(equality)]) ).
cnf(1360,plain,
( op2(e20,e21) = e23
| e21 != h1(e12) ),
inference(spm,[status(thm)],[871,1358,theory(equality)]) ).
cnf(1372,plain,
( op2(e20,e21) = e21
| e22 = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(rw,[status(thm)],[167,279,theory(equality)]) ).
cnf(1373,plain,
( op2(e20,e21) = e21
| e22 = e21
| e20 = e21
| op2(e23,e21) = e21 ),
inference(rw,[status(thm)],[1372,699,theory(equality)]) ).
cnf(1374,plain,
( op2(e20,e21) = e21
| e21 = e20
| op2(e23,e21) = e21 ),
inference(sr,[status(thm)],[1373,229,theory(equality)]) ).
cnf(1375,plain,
( op2(e20,e21) = e21
| op2(e23,e21) = e21 ),
inference(sr,[status(thm)],[1374,232,theory(equality)]) ).
cnf(1376,plain,
( op2(e23,e21) = e21
| e21 != h1(e12) ),
inference(spm,[status(thm)],[871,1375,theory(equality)]) ).
cnf(1444,plain,
( e23 = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(rw,[status(thm)],[168,712,theory(equality)]) ).
cnf(1445,plain,
( e23 = e21
| e22 = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(rw,[status(thm)],[1444,279,theory(equality)]) ).
cnf(1446,plain,
( e21 = e22
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(sr,[status(thm)],[1445,228,theory(equality)]) ).
cnf(1447,plain,
( op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(sr,[status(thm)],[1446,229,theory(equality)]) ).
cnf(1453,plain,
( op2(e21,e23) = e21
| e21 != h3(e12) ),
inference(spm,[status(thm)],[1050,1447,theory(equality)]) ).
cnf(1464,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e23 ),
inference(sr,[status(thm)],[70,1004,theory(equality)]) ).
cnf(1465,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21 ),
inference(sr,[status(thm)],[1464,1003,theory(equality)]) ).
cnf(1472,plain,
( op2(e21,e22) = e20
| e21 != h3(e12) ),
inference(spm,[status(thm)],[1050,1465,theory(equality)]) ).
cnf(1477,plain,
( op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(sr,[status(thm)],[68,1030,theory(equality)]) ).
cnf(1478,plain,
( op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference(sr,[status(thm)],[1477,1025,theory(equality)]) ).
cnf(1482,plain,
( op2(e22,e20) = e22
| e21 != h1(e12) ),
inference(spm,[status(thm)],[1024,1478,theory(equality)]) ).
cnf(1485,plain,
( op2(e22,e20) = e22
| e21 != h3(e12) ),
inference(spm,[status(thm)],[1051,1478,theory(equality)]) ).
cnf(1501,plain,
( op2(e22,e20) = e22
| e20 = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(rw,[status(thm)],[158,699,theory(equality)]) ).
cnf(1502,plain,
( op2(e22,e20) = e22
| e20 = e22
| h3(e12) = e22
| op2(e22,e23) = e22 ),
inference(rw,[status(thm)],[1501,258,theory(equality)]) ).
cnf(1503,plain,
( op2(e22,e20) = e22
| h3(e12) = e22
| op2(e22,e23) = e22 ),
inference(sr,[status(thm)],[1502,231,theory(equality)]) ).
cnf(1518,plain,
( h3(e12) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(rw,[status(thm)],[66,258,theory(equality)]) ).
cnf(1519,plain,
( h3(e12) = e20
| h3(e12) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(rw,[status(thm)],[1518,258,theory(equality)]) ).
cnf(1520,plain,
( h3(e12) = e20
| h3(e12) = e21
| h3(e12) = e22
| op2(e22,e22) = e23 ),
inference(rw,[status(thm)],[1519,258,theory(equality)]) ).
cnf(1521,plain,
( h3(e12) = e20
| h3(e12) = e21
| h3(e12) = e22
| h3(e12) = e23 ),
inference(rw,[status(thm)],[1520,258,theory(equality)]) ).
cnf(1522,plain,
( h3(e12) = e21
| h3(e12) = e22
| h3(e12) = e23 ),
inference(sr,[status(thm)],[1521,1053,theory(equality)]) ).
cnf(1908,plain,
( op1(e13,e13) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e11,e12),op1(e11,e12)) = e11
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[343,698,theory(equality)]),698,theory(equality)]) ).
cnf(1909,plain,
( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(op1(e11,e12),op1(e11,e12)) = e11
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1908,276,theory(equality)]),276,theory(equality)]) ).
cnf(1921,plain,
( op1(e13,e13) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e12,e12),op1(e12,e12)) = e12
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[342,698,theory(equality)]),698,theory(equality)]) ).
cnf(1922,plain,
( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(op1(e12,e12),op1(e12,e12)) = e12
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1921,276,theory(equality)]),276,theory(equality)]) ).
cnf(1925,plain,
( op1(e13,e13) = e11
| op1(op1(e11,e11),op1(e11,e11)) = e11
| op1(op1(e13,e12),op1(e13,e12)) = e13
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[341,698,theory(equality)]),698,theory(equality)]) ).
cnf(1926,plain,
( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(op1(e13,e12),op1(e13,e12)) = e13
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1925,276,theory(equality)]),276,theory(equality)]) ).
cnf(1930,plain,
( op1(e13,e13) = e11
| op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[339,698,theory(equality)]),698,theory(equality)]) ).
cnf(1931,plain,
( op1(e13,e13) = e11
| op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(e10,e10) = e12
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1930,696,theory(equality)]),696,theory(equality)]) ).
cnf(1960,plain,
( op1(e13,e13) = e11
| op1(op1(e12,e11),op1(e12,e11)) = e12
| op1(op1(e13,e12),op1(e13,e12)) = e13
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[337,698,theory(equality)]),698,theory(equality)]) ).
cnf(1961,plain,
( op1(e13,e13) = e11
| op1(e10,e10) = e12
| op1(op1(e13,e12),op1(e13,e12)) = e13
| ~ epred1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1960,696,theory(equality)]),696,theory(equality)]) ).
cnf(2479,plain,
( op2(h1(e12),h1(e12)) = e20
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e22,e22),op2(e22,e22)) = e22
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[424,250,theory(equality)]),250,theory(equality)]) ).
cnf(2480,plain,
( op2(h1(e12),h1(e12)) = e20
| h3(e12) = e21
| op2(op2(e22,e22),op2(e22,e22)) = e22
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2479,279,theory(equality)]),279,theory(equality)]),258,theory(equality)]) ).
cnf(2481,plain,
( op2(h1(e12),h1(e12)) = e20
| h3(e12) = e21
| op2(h3(e12),h3(e12)) = e22
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2480,258,theory(equality)]),258,theory(equality)]) ).
cnf(2553,plain,
( h3(e12) = e21
| op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[377,279,theory(equality)]),279,theory(equality)]),258,theory(equality)]) ).
cnf(2761,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| h4(e12) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[406,712,theory(equality)]),712,theory(equality)]),262,theory(equality)]) ).
cnf(2762,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| h4(e12) = e21
| h1(e12) = e22
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2761,699,theory(equality)]),699,theory(equality)]),250,theory(equality)]) ).
cnf(2801,plain,
( h4(e12) = e21
| op2(op2(e21,e21),op2(e21,e21)) = e21
| op2(op2(e21,e22),op2(e21,e22)) = e21
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[409,712,theory(equality)]),712,theory(equality)]),262,theory(equality)]) ).
cnf(2802,plain,
( h4(e12) = e21
| h3(e12) = e21
| op2(op2(e21,e22),op2(e21,e22)) = e21
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2801,279,theory(equality)]),279,theory(equality)]),258,theory(equality)]) ).
cnf(2819,plain,
( h4(e12) = e21
| op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e22,e21),op2(e22,e21)) = e22
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[405,712,theory(equality)]),712,theory(equality)]),262,theory(equality)]) ).
cnf(2820,plain,
( h4(e12) = e21
| op2(op2(e21,e22),op2(e21,e22)) = e21
| h1(e12) = e22
| ~ epred2_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2819,699,theory(equality)]),699,theory(equality)]),250,theory(equality)]) ).
cnf(5394,plain,
( epred5_0
| h3(e10) != e20
| $false
| h3(e13) != e21
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
inference(rw,[status(thm)],[615,260,theory(equality)]) ).
cnf(5395,plain,
( epred5_0
| h3(e10) != e20
| $false
| h3(e13) != e21
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e22) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
inference(rw,[status(thm)],[5394,260,theory(equality)]) ).
cnf(5396,plain,
( epred5_0
| h3(e10) != e20
| $false
| h3(e13) != e21
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e22) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| h3(e13) != h3(op1(e11,e10))
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5395,260,theory(equality)]),724,theory(equality)]) ).
cnf(5397,plain,
( epred5_0
| h3(e10) != e20
| $false
| h3(e13) != e21
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e22) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| $false
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
inference(rw,[status(thm)],[5396,698,theory(equality)]) ).
cnf(5398,plain,
( epred5_0
| h3(e10) != e20
| $false
| h3(e13) != e21
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e22) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| $false
| h3(e12) != h3(op1(e11,e11))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5397,260,theory(equality)]),260,theory(equality)]),258,theory(equality)]) ).
cnf(5399,plain,
( epred5_0
| h3(e10) != e20
| $false
| h3(e13) != e21
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e22) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| $false
| $false
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
inference(rw,[status(thm)],[5398,276,theory(equality)]) ).
cnf(5400,plain,
( epred5_0
| h3(e10) != e20
| $false
| h3(e13) != e21
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e22) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| $false
| $false
| op2(e22,h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
inference(rw,[status(thm)],[5399,260,theory(equality)]) ).
cnf(5401,plain,
( epred5_0
| h3(e10) != e20
| $false
| h3(e13) != e21
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e22) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| $false
| $false
| op2(e22,h3(e12)) != h3(op1(e11,e12))
| op2(e22,h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
inference(rw,[status(thm)],[5400,260,theory(equality)]) ).
cnf(5402,plain,
( epred5_0
| h3(e10) != e20
| $false
| h3(e13) != e21
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e22) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| $false
| $false
| op2(e22,h3(e12)) != h3(op1(e11,e12))
| op2(e22,h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| h3(e10) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5401,260,theory(equality)]),705,theory(equality)]) ).
cnf(5403,plain,
( epred5_0
| h3(e10) != e20
| $false
| h3(e13) != e21
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e22) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| $false
| $false
| op2(e22,h3(e12)) != h3(op1(e11,e12))
| op2(e22,h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| $false
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
inference(rw,[status(thm)],[5402,696,theory(equality)]) ).
cnf(5404,plain,
( epred5_0
| h3(e10) != e20
| $false
| h3(e13) != e21
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e22) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| $false
| $false
| op2(e22,h3(e12)) != h3(op1(e11,e12))
| op2(e22,h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| $false
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),e22) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
inference(rw,[status(thm)],[5403,260,theory(equality)]) ).
cnf(5405,plain,
( epred5_0
| h3(e10) != e20
| h3(e13) != e21
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e22) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(e22,h3(e12)) != h3(op1(e11,e12))
| op2(e22,h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),e22) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
inference(cn,[status(thm)],[5404,theory(equality)]) ).
cnf(6844,plain,
( epred1_0
| e10 != op1(e10,e13) ),
inference(spm,[status(thm)],[208,993,theory(equality)]) ).
cnf(6849,plain,
( op1(e10,e10) = e11
| epred1_0 ),
inference(spm,[status(thm)],[268,993,theory(equality)]) ).
cnf(6853,plain,
( op1(e13,e10) = e10
| e10 != op1(e10,e13) ),
inference(spm,[status(thm)],[200,749,theory(equality)]) ).
cnf(6859,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| e10 = e12
| op1(e13,e10) = e10 ),
inference(spm,[status(thm)],[780,749,theory(equality)]) ).
cnf(6871,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[6859,145,theory(equality)]) ).
cnf(6878,plain,
( epred2_0
| e20 != op2(e20,e23) ),
inference(spm,[status(thm)],[122,1250,theory(equality)]) ).
cnf(6882,plain,
( op2(e20,e20) = e21
| epred2_0 ),
inference(spm,[status(thm)],[273,1250,theory(equality)]) ).
cnf(6884,plain,
( h1(e12) = e21
| epred2_0 ),
inference(rw,[status(thm)],[6882,250,theory(equality)]) ).
cnf(6887,plain,
( op2(e21,e20) = h1(e10)
| epred2_0 ),
inference(spm,[status(thm)],[700,6884,theory(equality)]) ).
cnf(6890,plain,
( e23 = h1(e10)
| epred2_0 ),
inference(rw,[status(thm)],[6887,712,theory(equality)]) ).
cnf(6891,plain,
( op2(e20,e23) = h1(e13)
| epred2_0 ),
inference(spm,[status(thm)],[720,6890,theory(equality)]) ).
cnf(6969,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| e11 = e10
| epred1_0 ),
inference(spm,[status(thm)],[737,6849,theory(equality)]) ).
cnf(6970,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| e11 = e12
| epred1_0 ),
inference(spm,[status(thm)],[764,6849,theory(equality)]) ).
cnf(6984,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| epred1_0 ),
inference(sr,[status(thm)],[6969,146,theory(equality)]) ).
cnf(6985,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| epred1_0 ),
inference(sr,[status(thm)],[6970,143,theory(equality)]) ).
cnf(7070,plain,
( op2(e22,e22) = e23
| epred2_0
| h3(e12) = e23 ),
inference(spm,[status(thm)],[711,1262,theory(equality)]) ).
cnf(7074,plain,
( h3(e12) = e23
| epred2_0
| h3(e12) = e23 ),
inference(rw,[status(thm)],[7070,258,theory(equality)]) ).
cnf(7075,plain,
( h3(e12) = e23
| epred2_0 ),
inference(cn,[status(thm)],[7074,theory(equality)]) ).
cnf(7377,plain,
( op1(e10,e12) = e10
| epred1_0 ),
inference(csr,[status(thm)],[6984,6844]) ).
cnf(7443,plain,
( e12 = e10
| epred1_0
| op1(e10,e13) = e12 ),
inference(spm,[status(thm)],[7377,6985,theory(equality)]) ).
cnf(7446,plain,
( epred1_0
| op1(e10,e13) = e12 ),
inference(sr,[status(thm)],[7443,145,theory(equality)]) ).
cnf(7449,plain,
( op1(e12,e12) = e10
| epred1_0 ),
inference(spm,[status(thm)],[269,7446,theory(equality)]) ).
cnf(7454,plain,
epred1_0,
inference(sr,[status(thm)],[7449,750,theory(equality)]) ).
cnf(7516,plain,
( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(e10,e10) = e12
| op1(e13,e13) = e11
| $false ),
inference(rw,[status(thm)],[1961,7454,theory(equality)]) ).
cnf(7517,plain,
( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(e10,e10) = e12
| op1(e13,e13) = e11 ),
inference(cn,[status(thm)],[7516,theory(equality)]) ).
cnf(7522,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(e10,e10) = e12
| op1(e13,e13) = e11
| $false ),
inference(rw,[status(thm)],[1931,7454,theory(equality)]) ).
cnf(7523,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(e10,e10) = e12
| op1(e13,e13) = e11 ),
inference(cn,[status(thm)],[7522,theory(equality)]) ).
cnf(7524,plain,
( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(e12,e12) = e11
| op1(e13,e13) = e11
| $false ),
inference(rw,[status(thm)],[1926,7454,theory(equality)]) ).
cnf(7525,plain,
( op1(op1(e13,e12),op1(e13,e12)) = e13
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(cn,[status(thm)],[7524,theory(equality)]) ).
cnf(7526,plain,
( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(e12,e12) = e11
| op1(e13,e13) = e11
| $false ),
inference(rw,[status(thm)],[1922,7454,theory(equality)]) ).
cnf(7527,plain,
( op1(op1(e12,e12),op1(e12,e12)) = e12
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(cn,[status(thm)],[7526,theory(equality)]) ).
cnf(7528,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11
| $false ),
inference(rw,[status(thm)],[1909,7454,theory(equality)]) ).
cnf(7529,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(cn,[status(thm)],[7528,theory(equality)]) ).
cnf(7530,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e13,e10),op1(e13,e10)) = e13
| op1(op1(e10,e12),op1(e10,e12)) = e10
| $false ),
inference(rw,[status(thm)],[304,7454,theory(equality)]) ).
cnf(7531,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e13,e10),op1(e13,e10)) = e13
| op1(op1(e10,e12),op1(e10,e12)) = e10 ),
inference(cn,[status(thm)],[7530,theory(equality)]) ).
cnf(7580,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e10,e10),op1(e10,e10)) = e10
| $false ),
inference(rw,[status(thm)],[351,7454,theory(equality)]) ).
cnf(7581,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e13
| op1(op1(e11,e12),op1(e11,e12)) = e11
| op1(op1(e10,e10),op1(e10,e10)) = e10 ),
inference(cn,[status(thm)],[7580,theory(equality)]) ).
cnf(7612,plain,
( e13 != op1(e10,e13)
| op1(e10,e10) != e11 ),
inference(spm,[status(thm)],[198,806,theory(equality)]) ).
cnf(7656,plain,
( op1(e13,e11) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e10 ),
inference(spm,[status(thm)],[820,730,theory(equality)]) ).
cnf(7743,plain,
( e11 != op1(e13,e13)
| op1(e12,e12) != e11 ),
inference(spm,[status(thm)],[204,946,theory(equality)]) ).
cnf(7774,plain,
( op1(e13,e13) = e12
| op1(e13,e13) = e11
| e13 = e11
| op1(e12,e13) = e13 ),
inference(spm,[status(thm)],[7527,1033,theory(equality)]) ).
cnf(7775,plain,
( op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e12,e13) = e13 ),
inference(sr,[status(thm)],[7774,142,theory(equality)]) ).
cnf(7823,plain,
( op1(e11,e11) = e11
| op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e13) = e11 ),
inference(spm,[status(thm)],[7529,941,theory(equality)]) ).
cnf(7824,plain,
( op1(e11,e11) = e11
| op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e10 ),
inference(spm,[status(thm)],[7529,970,theory(equality)]) ).
cnf(7831,plain,
( e12 = e11
| op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e13) = e11 ),
inference(rw,[status(thm)],[7823,276,theory(equality)]) ).
cnf(7832,plain,
( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e13) = e11 ),
inference(sr,[status(thm)],[7831,143,theory(equality)]) ).
cnf(7833,plain,
( e12 = e11
| op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e10 ),
inference(rw,[status(thm)],[7824,276,theory(equality)]) ).
cnf(7834,plain,
( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e10 ),
inference(sr,[status(thm)],[7833,143,theory(equality)]) ).
cnf(7868,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) != e11 ),
inference(spm,[status(thm)],[204,989,theory(equality)]) ).
cnf(7904,plain,
( e12 != op1(e12,e12)
| op1(e12,e13) != e11 ),
inference(spm,[status(thm)],[189,1001,theory(equality)]) ).
cnf(7914,plain,
( e12 != op1(e12,e13)
| op1(e13,e10) != e11 ),
inference(spm,[status(thm)],[188,1002,theory(equality)]) ).
cnf(7990,plain,
( e13 != op1(e13,e12)
| op1(e13,e13) != e11 ),
inference(spm,[status(thm)],[181,1097,theory(equality)]) ).
cnf(7991,plain,
( e13 != op1(e13,e13)
| op1(e13,e13) != e11 ),
inference(spm,[status(thm)],[180,1097,theory(equality)]) ).
cnf(8099,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e10,e13) != e13 ),
inference(spm,[status(thm)],[7612,757,theory(equality)]) ).
cnf(8410,plain,
( e21 != h4(e12)
| h1(e12) != e21 ),
inference(spm,[status(thm)],[875,1376,theory(equality)]) ).
cnf(8514,plain,
( e21 != h4(e12)
| h3(e12) != e21 ),
inference(spm,[status(thm)],[851,1453,theory(equality)]) ).
cnf(9119,plain,
( e23 != op2(e20,e23)
| h1(e12) != e21 ),
inference(spm,[status(thm)],[112,1360,theory(equality)]) ).
cnf(9358,plain,
( e22 != op2(e23,e20)
| h1(e12) != e21 ),
inference(spm,[status(thm)],[135,1482,theory(equality)]) ).
cnf(9359,plain,
( e22 != h1(e12)
| h1(e12) != e21 ),
inference(spm,[status(thm)],[1024,1482,theory(equality)]) ).
cnf(9451,plain,
( e22 != h1(e12)
| h3(e12) != e21 ),
inference(spm,[status(thm)],[1024,1485,theory(equality)]) ).
cnf(9483,plain,
( op1(e13,e11) = e11
| op1(e10,e13) = e13
| e13 != op1(e12,e12) ),
inference(spm,[status(thm)],[213,827,theory(equality)]) ).
cnf(9856,plain,
( epred2_0
| h1(e13) != e23
| h1(e12) != e21 ),
inference(spm,[status(thm)],[9119,6891,theory(equality)]) ).
cnf(9858,plain,
( epred2_0
| h1(e13) != e23 ),
inference(csr,[status(thm)],[9856,6884]) ).
cnf(9970,plain,
( e23 = h1(e13)
| epred2_0
| h4(e12) = e23
| h3(e12) != e23 ),
inference(spm,[status(thm)],[6891,1115,theory(equality)]) ).
cnf(10051,plain,
( h1(e13) = e23
| h4(e12) = e23
| epred2_0 ),
inference(csr,[status(thm)],[9970,7075]) ).
cnf(10052,plain,
( h4(e12) = e23
| epred2_0 ),
inference(csr,[status(thm)],[10051,9858]) ).
cnf(10540,plain,
( op1(e12,e12) = e13
| op1(e12,e13) != e11 ),
inference(csr,[status(thm)],[1045,7904]) ).
cnf(10542,plain,
( e13 != op1(e12,e13)
| op1(e12,e13) != e11 ),
inference(spm,[status(thm)],[185,10540,theory(equality)]) ).
cnf(10764,plain,
( op1(e10,e10) = e12
| op1(e13,e11) = e11
| e10 != op1(e13,e10) ),
inference(spm,[status(thm)],[224,7656,theory(equality)]) ).
cnf(10998,plain,
( op1(e13,e13) = e11
| op1(e11,e13) = e11 ),
inference(csr,[status(thm)],[7832,946]) ).
cnf(11002,plain,
( op1(e13,e13) = e11
| e11 != op1(e12,e13) ),
inference(spm,[status(thm)],[205,10998,theory(equality)]) ).
cnf(11031,plain,
( op1(e13,e13) = e11
| op1(e12,e13) = e13
| op1(e12,e13) = e12 ),
inference(spm,[status(thm)],[11002,1054,theory(equality)]) ).
cnf(11075,plain,
( op1(e13,e13) = e11
| op1(e11,e12) = e10 ),
inference(csr,[status(thm)],[7834,976]) ).
cnf(11085,plain,
( op1(e10,e10) = e11
| op1(e13,e13) = e11
| op1(e10,e10) = e12 ),
inference(spm,[status(thm)],[7523,11075,theory(equality)]) ).
cnf(11211,plain,
( op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(csr,[status(thm)],[11031,1058]) ).
cnf(11214,plain,
( op1(e12,e13) = e13
| e12 != op1(e13,e13) ),
inference(spm,[status(thm)],[203,11211,theory(equality)]) ).
cnf(11220,plain,
( op1(e12,e13) = e13
| op1(e13,e10) != e11 ),
inference(spm,[status(thm)],[7914,11211,theory(equality)]) ).
cnf(11956,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| epred2_0 ),
inference(csr,[status(thm)],[1188,6878]) ).
cnf(11960,plain,
( op2(e22,e22) = e20
| epred2_0
| op2(e20,e23) = e23 ),
inference(spm,[status(thm)],[274,11956,theory(equality)]) ).
cnf(11973,plain,
( h3(e12) = e20
| epred2_0
| op2(e20,e23) = e23 ),
inference(rw,[status(thm)],[11960,258,theory(equality)]) ).
cnf(11974,plain,
( epred2_0
| op2(e20,e23) = e23 ),
inference(sr,[status(thm)],[11973,1053,theory(equality)]) ).
cnf(11978,plain,
( epred2_0
| e23 != h4(e12) ),
inference(spm,[status(thm)],[850,11974,theory(equality)]) ).
cnf(12000,plain,
epred2_0,
inference(csr,[status(thm)],[11978,10052]) ).
cnf(12050,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e21
| h1(e12) = e22
| h4(e12) = e21
| $false ),
inference(rw,[status(thm)],[2820,12000,theory(equality)]) ).
cnf(12051,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e21
| h1(e12) = e22
| h4(e12) = e21 ),
inference(cn,[status(thm)],[12050,theory(equality)]) ).
cnf(12054,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e21
| h3(e12) = e21
| h4(e12) = e21
| $false ),
inference(rw,[status(thm)],[2802,12000,theory(equality)]) ).
cnf(12055,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e21
| h3(e12) = e21
| h4(e12) = e21 ),
inference(cn,[status(thm)],[12054,theory(equality)]) ).
cnf(12060,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| h1(e12) = e22
| h4(e12) = e21
| $false ),
inference(rw,[status(thm)],[2762,12000,theory(equality)]) ).
cnf(12061,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| h1(e12) = e22
| h4(e12) = e21 ),
inference(cn,[status(thm)],[12060,theory(equality)]) ).
cnf(12094,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(op2(e21,e22),op2(e21,e22)) = e21
| h3(e12) = e21
| $false ),
inference(rw,[status(thm)],[2553,12000,theory(equality)]) ).
cnf(12095,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| op2(op2(e21,e22),op2(e21,e22)) = e21
| h3(e12) = e21 ),
inference(cn,[status(thm)],[12094,theory(equality)]) ).
cnf(12108,plain,
( op2(h3(e12),h3(e12)) = e22
| op2(h1(e12),h1(e12)) = e20
| h3(e12) = e21
| $false ),
inference(rw,[status(thm)],[2481,12000,theory(equality)]) ).
cnf(12109,plain,
( op2(h3(e12),h3(e12)) = e22
| op2(h1(e12),h1(e12)) = e20
| h3(e12) = e21 ),
inference(cn,[status(thm)],[12108,theory(equality)]) ).
cnf(12268,plain,
( op2(e21,e21) = e21
| h4(e12) = e21
| h1(e12) = e22
| op2(e21,e22) = e20 ),
inference(spm,[status(thm)],[12051,1465,theory(equality)]) ).
cnf(12279,plain,
( e22 = e21
| h4(e12) = e21
| h1(e12) = e22
| op2(e21,e22) = e20 ),
inference(rw,[status(thm)],[12268,279,theory(equality)]) ).
cnf(12280,plain,
( h4(e12) = e21
| h1(e12) = e22
| op2(e21,e22) = e20 ),
inference(sr,[status(thm)],[12279,229,theory(equality)]) ).
cnf(12334,plain,
( op2(e20,e20) = e21
| h4(e12) = e21
| h1(e12) = e22 ),
inference(spm,[status(thm)],[12051,12280,theory(equality)]) ).
cnf(12338,plain,
( h1(e12) = e21
| h4(e12) = e21
| h1(e12) = e22 ),
inference(rw,[status(thm)],[12334,250,theory(equality)]) ).
cnf(12342,plain,
( op2(e21,e21) = e21
| h4(e12) = e21
| h3(e12) = e21
| op2(e21,e23) = e21 ),
inference(spm,[status(thm)],[12055,1447,theory(equality)]) ).
cnf(12343,plain,
( op2(e21,e21) = e21
| h4(e12) = e21
| h3(e12) = e21
| op2(e21,e22) = e20 ),
inference(spm,[status(thm)],[12055,1465,theory(equality)]) ).
cnf(12353,plain,
( e22 = e21
| h4(e12) = e21
| h3(e12) = e21
| op2(e21,e23) = e21 ),
inference(rw,[status(thm)],[12342,279,theory(equality)]) ).
cnf(12354,plain,
( h4(e12) = e21
| h3(e12) = e21
| op2(e21,e23) = e21 ),
inference(sr,[status(thm)],[12353,229,theory(equality)]) ).
cnf(12355,plain,
( e22 = e21
| h4(e12) = e21
| h3(e12) = e21
| op2(e21,e22) = e20 ),
inference(rw,[status(thm)],[12343,279,theory(equality)]) ).
cnf(12356,plain,
( h4(e12) = e21
| h3(e12) = e21
| op2(e21,e22) = e20 ),
inference(sr,[status(thm)],[12355,229,theory(equality)]) ).
cnf(12392,plain,
( h1(e12) = e22
| h1(e12) = e21
| h3(e12) != e21 ),
inference(spm,[status(thm)],[8514,12338,theory(equality)]) ).
cnf(12399,plain,
( h1(e12) = e21
| h3(e12) != e21 ),
inference(csr,[status(thm)],[12392,9451]) ).
cnf(12407,plain,
( op2(e22,e22) = e20
| h4(e12) = e21
| h1(e12) = e22
| op2(e20,e23) = e22 ),
inference(spm,[status(thm)],[12061,1317,theory(equality)]) ).
cnf(12414,plain,
( h3(e12) = e20
| h4(e12) = e21
| h1(e12) = e22
| op2(e20,e23) = e22 ),
inference(rw,[status(thm)],[12407,258,theory(equality)]) ).
cnf(12415,plain,
( h4(e12) = e21
| h1(e12) = e22
| op2(e20,e23) = e22 ),
inference(sr,[status(thm)],[12414,1053,theory(equality)]) ).
cnf(12508,plain,
( op2(e21,e23) = e21
| h4(e12) = e21 ),
inference(csr,[status(thm)],[12354,1453]) ).
cnf(12514,plain,
( e21 = e20
| op2(e20,e23) = e20
| h4(e12) = e20
| h4(e12) = e21 ),
inference(spm,[status(thm)],[1190,12508,theory(equality)]) ).
cnf(12522,plain,
( op2(e20,e23) = e20
| h4(e12) = e20
| h4(e12) = e21 ),
inference(sr,[status(thm)],[12514,232,theory(equality)]) ).
cnf(12635,plain,
( e20 = e22
| h1(e12) = e22
| h4(e12) = e21
| h4(e12) = e20 ),
inference(spm,[status(thm)],[12415,12522,theory(equality)]) ).
cnf(12638,plain,
( h1(e12) = e22
| h4(e12) = e21
| h4(e12) = e20 ),
inference(sr,[status(thm)],[12635,231,theory(equality)]) ).
cnf(12646,plain,
( h4(e12) = e20
| h1(e12) = e22
| h1(e12) != e21 ),
inference(spm,[status(thm)],[8410,12638,theory(equality)]) ).
cnf(12647,plain,
( h4(e12) = e20
| h1(e12) = e22
| h3(e12) != e21 ),
inference(spm,[status(thm)],[8514,12638,theory(equality)]) ).
cnf(12711,plain,
( h4(e12) = e20
| h1(e12) != e21 ),
inference(csr,[status(thm)],[12646,9359]) ).
cnf(12712,plain,
( op2(e20,e23) = h4(e10)
| h1(e12) != e21 ),
inference(spm,[status(thm)],[697,12711,theory(equality)]) ).
cnf(12714,plain,
( h1(e12) = e20
| h1(e12) != e21 ),
inference(spm,[status(thm)],[1225,12711,theory(equality)]) ).
cnf(12732,plain,
( e21 = e20
| h1(e12) = e22
| h1(e12) = e20 ),
inference(spm,[status(thm)],[12714,1150,theory(equality)]) ).
cnf(12734,plain,
( h1(e12) = e22
| h1(e12) = e20 ),
inference(sr,[status(thm)],[12732,232,theory(equality)]) ).
cnf(12804,plain,
( h4(e12) = e20
| h3(e12) != e21 ),
inference(csr,[status(thm)],[12647,9451]) ).
cnf(12807,plain,
( h1(e12) = e20
| h3(e12) != e21 ),
inference(spm,[status(thm)],[1225,12804,theory(equality)]) ).
cnf(12818,plain,
( h1(e12) = e20
| h3(e12) = e23
| h3(e12) = e22 ),
inference(spm,[status(thm)],[12807,1522,theory(equality)]) ).
cnf(13043,plain,
( h4(e10) != h4(e12)
| h1(e12) != e21 ),
inference(spm,[status(thm)],[850,12712,theory(equality)]) ).
cnf(13825,plain,
( op2(e21,e22) = e20
| h4(e12) = e21 ),
inference(csr,[status(thm)],[12356,1472]) ).
cnf(13836,plain,
( op2(e20,e20) = e21
| h4(e12) = e21
| h3(e12) = e21 ),
inference(spm,[status(thm)],[12055,13825,theory(equality)]) ).
cnf(13852,plain,
( h1(e12) = e21
| h4(e12) = e21
| h3(e12) = e21 ),
inference(rw,[status(thm)],[13836,250,theory(equality)]) ).
cnf(13901,plain,
( h1(e12) = e21
| h4(e12) = e21 ),
inference(csr,[status(thm)],[13852,12399]) ).
cnf(13902,plain,
( op2(e21,e23) = h4(e10)
| h1(e12) = e21 ),
inference(spm,[status(thm)],[697,13901,theory(equality)]) ).
cnf(14247,plain,
( h1(e12) = e21
| h4(e10) != h4(e12) ),
inference(spm,[status(thm)],[851,13902,theory(equality)]) ).
cnf(14254,plain,
( h4(e10) = e20
| h1(e12) = e21
| h4(e12) != e21 ),
inference(spm,[status(thm)],[1242,13902,theory(equality)]) ).
cnf(14268,plain,
h4(e10) != h4(e12),
inference(csr,[status(thm)],[14247,13043]) ).
cnf(14336,plain,
( h4(e10) = e20
| h1(e12) = e21 ),
inference(csr,[status(thm)],[14254,13901]) ).
cnf(14337,plain,
( op2(e23,e20) = h4(e13)
| h1(e12) = e21 ),
inference(spm,[status(thm)],[706,14336,theory(equality)]) ).
cnf(14339,plain,
( h1(e12) = e21
| e20 != h4(e12) ),
inference(spm,[status(thm)],[14268,14336,theory(equality)]) ).
cnf(14415,plain,
( h4(e12) = e22
| e22 != h1(e12)
| h3(e12) != e22 ),
inference(spm,[status(thm)],[898,1214,theory(equality)]) ).
cnf(14550,plain,
( e22 = e21
| h1(e12) = e21
| h1(e12) != e22
| h3(e12) != e22 ),
inference(spm,[status(thm)],[13901,14415,theory(equality)]) ).
cnf(14560,plain,
( h1(e12) = e21
| h1(e12) != e22
| h3(e12) != e22 ),
inference(sr,[status(thm)],[14550,229,theory(equality)]) ).
cnf(14562,plain,
( h1(e12) != e22
| h3(e12) != e22 ),
inference(csr,[status(thm)],[14560,9359]) ).
cnf(14566,plain,
( h3(e12) = e23
| h1(e12) = e20
| h1(e12) != e22 ),
inference(spm,[status(thm)],[14562,12818,theory(equality)]) ).
cnf(14569,plain,
( h3(e12) = e23
| h1(e12) = e20 ),
inference(csr,[status(thm)],[14566,12734]) ).
cnf(14916,plain,
( h1(e12) = e21
| h4(e13) != h4(e12) ),
inference(spm,[status(thm)],[874,14337,theory(equality)]) ).
cnf(15288,plain,
( op2(e23,e20) = e20
| h1(e12) != e21 ),
inference(csr,[status(thm)],[1283,9358]) ).
cnf(15289,plain,
( e20 != h4(e12)
| h1(e12) != e21 ),
inference(spm,[status(thm)],[874,15288,theory(equality)]) ).
cnf(15307,plain,
h4(e12) != e20,
inference(csr,[status(thm)],[15289,14339]) ).
cnf(15309,plain,
h1(e12) != e21,
inference(spm,[status(thm)],[15307,12711,theory(equality)]) ).
cnf(15310,plain,
h3(e12) != e21,
inference(spm,[status(thm)],[15307,12804,theory(equality)]) ).
cnf(15320,plain,
( op2(e23,e22) = e20
| op2(e23,e20) = e20 ),
inference(sr,[status(thm)],[1288,15307,theory(equality)]) ).
cnf(15321,plain,
( op2(e21,e23) = h4(e10)
| h4(e12) = e22
| h4(e12) = e23 ),
inference(sr,[status(thm)],[1132,15307,theory(equality)]) ).
cnf(15332,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21 ),
inference(sr,[status(thm)],[1309,15309,theory(equality)]) ).
cnf(15335,plain,
h4(e12) = e21,
inference(sr,[status(thm)],[13901,15309,theory(equality)]) ).
cnf(15337,plain,
h4(e10) = e20,
inference(sr,[status(thm)],[14336,15309,theory(equality)]) ).
cnf(15340,plain,
op2(e23,e20) = h4(e13),
inference(sr,[status(thm)],[14337,15309,theory(equality)]) ).
cnf(15353,plain,
( op2(h1(e12),h1(e12)) = e20
| op2(h3(e12),h3(e12)) = e22 ),
inference(sr,[status(thm)],[12109,15310,theory(equality)]) ).
cnf(15358,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e21
| op2(op2(e23,e20),op2(e23,e20)) = e23 ),
inference(sr,[status(thm)],[12095,15310,theory(equality)]) ).
cnf(15368,plain,
op2(e23,e21) != e21,
inference(rw,[status(thm)],[875,15335,theory(equality)]) ).
cnf(15374,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e22
| $false ),
inference(rw,[status(thm)],[1282,15335,theory(equality)]) ).
cnf(15375,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e22 ),
inference(cn,[status(thm)],[15374,theory(equality)]) ).
cnf(15389,plain,
( h1(e12) = e21
| e21 != h4(e13) ),
inference(rw,[status(thm)],[14916,15335,theory(equality)]) ).
cnf(15390,plain,
h4(e13) != e21,
inference(sr,[status(thm)],[15389,15309,theory(equality)]) ).
cnf(15487,plain,
( op2(e20,e23) = e23
| e21 = e23
| h3(e12) != e23 ),
inference(rw,[status(thm)],[1115,15335,theory(equality)]) ).
cnf(15488,plain,
( op2(e20,e23) = e23
| h3(e12) != e23 ),
inference(sr,[status(thm)],[15487,228,theory(equality)]) ).
cnf(15737,plain,
( op2(e21,e23) = e20
| h4(e12) = e22
| h4(e12) = e23 ),
inference(rw,[status(thm)],[15321,15337,theory(equality)]) ).
cnf(15738,plain,
( op2(e21,e23) = e20
| e21 = e22
| h4(e12) = e23 ),
inference(rw,[status(thm)],[15737,15335,theory(equality)]) ).
cnf(15739,plain,
( op2(e21,e23) = e20
| e21 = e22
| e21 = e23 ),
inference(rw,[status(thm)],[15738,15335,theory(equality)]) ).
cnf(15740,plain,
( op2(e21,e23) = e20
| e21 = e23 ),
inference(sr,[status(thm)],[15739,229,theory(equality)]) ).
cnf(15741,plain,
op2(e21,e23) = e20,
inference(sr,[status(thm)],[15740,228,theory(equality)]) ).
cnf(15761,plain,
( e20 = e21
| op2(e21,e22) = e21 ),
inference(rw,[status(thm)],[1447,15741,theory(equality)]) ).
cnf(15762,plain,
op2(e21,e22) = e21,
inference(sr,[status(thm)],[15761,232,theory(equality)]) ).
cnf(15796,plain,
op2(e23,e21) = e23,
inference(sr,[status(thm)],[1327,15368,theory(equality)]) ).
cnf(15797,plain,
op2(e20,e21) = e21,
inference(sr,[status(thm)],[1375,15368,theory(equality)]) ).
cnf(15894,plain,
h4(e13) != h1(e12),
inference(rw,[status(thm)],[967,15340,theory(equality)]) ).
cnf(15896,plain,
( h4(e13) = e20
| op2(e23,e22) = e20 ),
inference(rw,[status(thm)],[15320,15340,theory(equality)]) ).
cnf(15915,plain,
( h4(e13) = e21
| op2(e22,e20) = e21 ),
inference(rw,[status(thm)],[15332,15340,theory(equality)]) ).
cnf(15916,plain,
op2(e22,e20) = e21,
inference(sr,[status(thm)],[15915,15390,theory(equality)]) ).
cnf(15943,plain,
( op2(e22,e23) = e22
| e21 = e22
| h3(e12) = e22 ),
inference(rw,[status(thm)],[1503,15916,theory(equality)]) ).
cnf(15944,plain,
( op2(e22,e23) = e22
| h3(e12) = e22 ),
inference(sr,[status(thm)],[15943,229,theory(equality)]) ).
cnf(16154,plain,
( op2(e23,e23) = e22
| op2(h1(e12),h1(e12)) = e20
| h1(e12) = e20 ),
inference(spm,[status(thm)],[15353,14569,theory(equality)]) ).
cnf(16158,plain,
( e21 = e22
| op2(h1(e12),h1(e12)) = e20
| h1(e12) = e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16154,262,theory(equality)]),15335,theory(equality)]) ).
cnf(16159,plain,
( op2(h1(e12),h1(e12)) = e20
| h1(e12) = e20 ),
inference(sr,[status(thm)],[16158,229,theory(equality)]) ).
cnf(16161,plain,
( op2(e22,e22) = e20
| e22 = e20
| h1(e12) = e20 ),
inference(spm,[status(thm)],[16159,12734,theory(equality)]) ).
cnf(16163,plain,
( h3(e12) = e20
| e22 = e20
| h1(e12) = e20 ),
inference(rw,[status(thm)],[16161,258,theory(equality)]) ).
cnf(16164,plain,
( e22 = e20
| h1(e12) = e20 ),
inference(sr,[status(thm)],[16163,1053,theory(equality)]) ).
cnf(16165,plain,
h1(e12) = e20,
inference(sr,[status(thm)],[16164,231,theory(equality)]) ).
cnf(16170,plain,
h4(e13) != e20,
inference(rw,[status(thm)],[15894,16165,theory(equality)]) ).
cnf(16290,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| e20 = e22 ),
inference(rw,[status(thm)],[1317,16165,theory(equality)]) ).
cnf(16291,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22 ),
inference(sr,[status(thm)],[16290,231,theory(equality)]) ).
cnf(16335,plain,
( e22 = e21
| op2(op2(e23,e20),op2(e23,e20)) = e23 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[15358,15762,theory(equality)]),15762,theory(equality)]),279,theory(equality)]) ).
cnf(16336,plain,
( e22 = e21
| op2(h4(e13),h4(e13)) = e23 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16335,15340,theory(equality)]),15340,theory(equality)]) ).
cnf(16337,plain,
op2(h4(e13),h4(e13)) = e23,
inference(sr,[status(thm)],[16336,229,theory(equality)]) ).
cnf(16371,plain,
( h4(e13) = e20
| op2(e23,e20) = e22 ),
inference(rw,[status(thm)],[15375,15340,theory(equality)]) ).
cnf(16372,plain,
( h4(e13) = e20
| h4(e13) = e22 ),
inference(rw,[status(thm)],[16371,15340,theory(equality)]) ).
cnf(16373,plain,
h4(e13) = e22,
inference(sr,[status(thm)],[16372,16170,theory(equality)]) ).
cnf(16374,plain,
op2(e22,e22) = e23,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16337,16373,theory(equality)]),16373,theory(equality)]) ).
cnf(16375,plain,
h3(e12) = e23,
inference(rw,[status(thm)],[16374,258,theory(equality)]) ).
cnf(16382,plain,
op2(e23,e22) = h3(e10),
inference(rw,[status(thm)],[705,16375,theory(equality)]) ).
cnf(16395,plain,
( op2(e20,e23) = e23
| $false ),
inference(rw,[status(thm)],[15488,16375,theory(equality)]) ).
cnf(16396,plain,
op2(e20,e23) = e23,
inference(cn,[status(thm)],[16395,theory(equality)]) ).
cnf(16397,plain,
( op2(e22,e23) = e22
| e23 = e22 ),
inference(rw,[status(thm)],[15944,16375,theory(equality)]) ).
cnf(16398,plain,
op2(e22,e23) = e22,
inference(sr,[status(thm)],[16397,227,theory(equality)]) ).
cnf(16436,plain,
( epred5_0
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e23) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[5405,16375,theory(equality)]) ).
cnf(16437,plain,
( epred5_0
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e23) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(e23,h3(e10)) != h3(op1(e12,e10))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[16436,16375,theory(equality)]) ).
cnf(16438,plain,
( epred5_0
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e23) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(e23,h3(e10)) != h3(op1(e12,e10))
| e21 != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16437,16375,theory(equality)]),16375,theory(equality)]),262,theory(equality)]),15335,theory(equality)]) ).
cnf(16439,plain,
( epred5_0
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e23) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(e23,h3(e10)) != h3(op1(e12,e10))
| e21 != h3(op1(e12,e12))
| op2(e23,h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[16438,16375,theory(equality)]) ).
cnf(16440,plain,
( epred5_0
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e23) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(e23,h3(e10)) != h3(op1(e12,e10))
| e21 != h3(op1(e12,e12))
| op2(e23,h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),e23) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[16439,16375,theory(equality)]) ).
cnf(16441,plain,
( epred5_0
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),e23) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(e23,h3(e10)) != h3(op1(e12,e10))
| e21 != h3(op1(e12,e12))
| op2(e23,h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),e23) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e11,e12)) != op2(e22,e23)
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[16440,16375,theory(equality)]) ).
cnf(16458,negated_conjecture,
( $false
| ~ epred5_0 ),
inference(rw,[status(thm)],[288,16375,theory(equality)]) ).
cnf(16459,negated_conjecture,
~ epred5_0,
inference(cn,[status(thm)],[16458,theory(equality)]) ).
cnf(16498,plain,
( e22 = e20
| op2(e23,e22) = e20 ),
inference(rw,[status(thm)],[15896,16373,theory(equality)]) ).
cnf(16499,plain,
( e22 = e20
| h3(e10) = e20 ),
inference(rw,[status(thm)],[16498,16382,theory(equality)]) ).
cnf(16500,plain,
h3(e10) = e20,
inference(sr,[status(thm)],[16499,231,theory(equality)]) ).
cnf(16503,plain,
op2(e22,e20) = h3(e13),
inference(rw,[status(thm)],[724,16500,theory(equality)]) ).
cnf(16504,plain,
e21 = h3(e13),
inference(rw,[status(thm)],[16503,15916,theory(equality)]) ).
cnf(16868,plain,
( e23 = e22
| op2(e20,e22) = e22 ),
inference(rw,[status(thm)],[16291,16396,theory(equality)]) ).
cnf(16869,plain,
op2(e20,e22) = e22,
inference(sr,[status(thm)],[16868,227,theory(equality)]) ).
cnf(17072,plain,
( op1(e12,e13) = e13
| op1(e13,e13) = e11 ),
inference(csr,[status(thm)],[7775,11214]) ).
cnf(17074,plain,
( op1(e13,e13) = e11
| e13 != op1(e13,e13) ),
inference(spm,[status(thm)],[203,17072,theory(equality)]) ).
cnf(17083,plain,
op1(e13,e13) != e13,
inference(csr,[status(thm)],[17074,7991]) ).
cnf(17084,plain,
( op1(e12,e13) = e13
| op1(e10,e13) = e13 ),
inference(sr,[status(thm)],[914,17083,theory(equality)]) ).
cnf(17088,plain,
( op1(e13,e12) = e13
| op1(e13,e10) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 ),
inference(sr,[status(thm)],[1089,17083,theory(equality)]) ).
cnf(17500,plain,
( op1(e12,e10) = e11
| op1(e13,e10) = e11
| op1(e12,e13) = e13 ),
inference(spm,[status(thm)],[8099,17084,theory(equality)]) ).
cnf(17501,plain,
( op1(e12,e10) = e11
| op1(e12,e13) = e13 ),
inference(csr,[status(thm)],[17500,11220]) ).
cnf(17505,plain,
( op1(e12,e13) = e13
| e11 != op1(e12,e13) ),
inference(spm,[status(thm)],[188,17501,theory(equality)]) ).
cnf(17574,plain,
op1(e12,e13) != e11,
inference(csr,[status(thm)],[17505,10542]) ).
cnf(17582,plain,
( op1(e12,e12) = e11
| op1(e12,e10) = e11 ),
inference(sr,[status(thm)],[1009,17574,theory(equality)]) ).
cnf(17583,plain,
( op1(e12,e12) = e12
| op1(e12,e13) = e12
| op1(e12,e12) = e11 ),
inference(sr,[status(thm)],[1023,17574,theory(equality)]) ).
cnf(17599,plain,
( op1(e13,e10) = e10
| e11 = e12
| op1(e13,e10) = e12
| op1(e12,e12) = e11 ),
inference(spm,[status(thm)],[6871,17582,theory(equality)]) ).
cnf(17609,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e12
| op1(e12,e12) = e11 ),
inference(sr,[status(thm)],[17599,143,theory(equality)]) ).
cnf(18538,plain,
( epred5_0
| e20 != h3(op1(e10,e10))
| h3(op1(e10,e12)) != op2(h3(e10),e23)
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| h3(op1(e12,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != op2(e23,h3(e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| h3(op1(e13,e12)) != op2(h3(e13),e23)
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e11,e12)) != op2(e22,e23)
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16441,16500,theory(equality)]),16500,theory(equality)]),250,theory(equality)]),16165,theory(equality)]) ).
cnf(18539,plain,
( epred5_0
| e20 != h3(op1(e10,e10))
| h3(op1(e10,e12)) != e23
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| h3(op1(e12,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != op2(e23,h3(e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| h3(op1(e13,e12)) != op2(h3(e13),e23)
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e11,e12)) != op2(e22,e23)
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18538,16500,theory(equality)]),16396,theory(equality)]) ).
cnf(18540,plain,
( epred5_0
| e20 != h3(op1(e10,e10))
| h3(op1(e10,e12)) != e23
| e21 != h3(op1(e10,e13))
| h3(op1(e12,e10)) != op2(e23,h3(e10))
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != op2(e23,h3(e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| h3(op1(e13,e12)) != op2(h3(e13),e23)
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e11,e12)) != op2(e22,e23)
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18539,16500,theory(equality)]),16504,theory(equality)]),15797,theory(equality)]) ).
cnf(18541,plain,
( epred5_0
| e20 != h3(op1(e10,e10))
| h3(op1(e10,e12)) != e23
| e21 != h3(op1(e10,e13))
| h3(op1(e12,e10)) != e22
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != op2(e23,h3(e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| h3(op1(e13,e12)) != op2(h3(e13),e23)
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e11,e12)) != op2(e22,e23)
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18540,16500,theory(equality)]),15340,theory(equality)]),16373,theory(equality)]) ).
cnf(18542,plain,
( epred5_0
| e20 != h3(op1(e10,e10))
| h3(op1(e10,e12)) != e23
| e21 != h3(op1(e10,e13))
| h3(op1(e12,e10)) != e22
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| h3(op1(e13,e12)) != op2(h3(e13),e23)
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e11,e12)) != op2(e22,e23)
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18541,16504,theory(equality)]),15796,theory(equality)]) ).
cnf(18543,plain,
( epred5_0
| e20 != h3(op1(e10,e10))
| h3(op1(e10,e12)) != e23
| e21 != h3(op1(e10,e13))
| h3(op1(e12,e10)) != e22
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| e23 != h3(op1(e13,e10))
| h3(op1(e13,e12)) != op2(h3(e13),e23)
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e11,e12)) != op2(e22,e23)
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18542,16504,theory(equality)]),16500,theory(equality)]),712,theory(equality)]) ).
cnf(18544,plain,
( epred5_0
| e20 != h3(op1(e10,e10))
| h3(op1(e10,e12)) != e23
| e21 != h3(op1(e10,e13))
| h3(op1(e12,e10)) != e22
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| e23 != h3(op1(e13,e10))
| h3(op1(e13,e12)) != e20
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e11,e12)) != op2(e22,e23)
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18543,16504,theory(equality)]),15741,theory(equality)]) ).
cnf(18545,plain,
( epred5_0
| e20 != h3(op1(e10,e10))
| h3(op1(e10,e12)) != e23
| e21 != h3(op1(e10,e13))
| h3(op1(e12,e10)) != e22
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| e23 != h3(op1(e13,e10))
| h3(op1(e13,e12)) != e20
| e22 != h3(op1(e13,e13))
| h3(op1(e10,e11)) != op2(h3(e10),e22)
| h3(op1(e11,e12)) != op2(e22,e23)
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18544,16504,theory(equality)]),16504,theory(equality)]),279,theory(equality)]) ).
cnf(18546,plain,
( epred5_0
| e20 != h3(op1(e10,e10))
| h3(op1(e10,e12)) != e23
| e21 != h3(op1(e10,e13))
| h3(op1(e12,e10)) != e22
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| e23 != h3(op1(e13,e10))
| h3(op1(e13,e12)) != e20
| e22 != h3(op1(e13,e13))
| h3(op1(e10,e11)) != e22
| h3(op1(e11,e12)) != op2(e22,e23)
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18545,16500,theory(equality)]),16869,theory(equality)]) ).
cnf(18547,plain,
( epred5_0
| e20 != h3(op1(e10,e10))
| h3(op1(e10,e12)) != e23
| e21 != h3(op1(e10,e13))
| h3(op1(e12,e10)) != e22
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| e23 != h3(op1(e13,e10))
| h3(op1(e13,e12)) != e20
| e22 != h3(op1(e13,e13))
| h3(op1(e10,e11)) != e22
| h3(op1(e11,e12)) != e22
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[18546,16398,theory(equality)]) ).
cnf(18548,plain,
( epred5_0
| e20 != h3(op1(e10,e10))
| h3(op1(e10,e12)) != e23
| e21 != h3(op1(e10,e13))
| h3(op1(e12,e10)) != e22
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| e23 != h3(op1(e13,e10))
| h3(op1(e13,e12)) != e20
| e22 != h3(op1(e13,e13))
| h3(op1(e10,e11)) != e22
| h3(op1(e11,e12)) != e22
| h3(op1(e11,e13)) != e20
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18547,16504,theory(equality)]),699,theory(equality)]) ).
cnf(18549,plain,
( epred5_0
| e20 != h3(op1(e10,e10))
| h3(op1(e10,e12)) != e23
| e21 != h3(op1(e10,e13))
| h3(op1(e12,e10)) != e22
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| e23 != h3(op1(e13,e10))
| h3(op1(e13,e12)) != e20
| e22 != h3(op1(e13,e13))
| h3(op1(e10,e11)) != e22
| h3(op1(e11,e12)) != e22
| h3(op1(e11,e13)) != e20
| h3(op1(e13,e11)) != e21
| h3(e10) != e20
| h3(e13) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18548,16504,theory(equality)]),15762,theory(equality)]) ).
cnf(18550,plain,
( epred5_0
| e20 != h3(op1(e10,e10))
| h3(op1(e10,e12)) != e23
| e21 != h3(op1(e10,e13))
| h3(op1(e12,e10)) != e22
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| e23 != h3(op1(e13,e10))
| h3(op1(e13,e12)) != e20
| e22 != h3(op1(e13,e13))
| h3(op1(e10,e11)) != e22
| h3(op1(e11,e12)) != e22
| h3(op1(e11,e13)) != e20
| h3(op1(e13,e11)) != e21
| $false
| h3(e13) != e21 ),
inference(rw,[status(thm)],[18549,16500,theory(equality)]) ).
cnf(18551,plain,
( epred5_0
| e20 != h3(op1(e10,e10))
| h3(op1(e10,e12)) != e23
| e21 != h3(op1(e10,e13))
| h3(op1(e12,e10)) != e22
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| e23 != h3(op1(e13,e10))
| h3(op1(e13,e12)) != e20
| e22 != h3(op1(e13,e13))
| h3(op1(e10,e11)) != e22
| h3(op1(e11,e12)) != e22
| h3(op1(e11,e13)) != e20
| h3(op1(e13,e11)) != e21
| $false
| $false ),
inference(rw,[status(thm)],[18550,16504,theory(equality)]) ).
cnf(18552,plain,
( epred5_0
| e20 != h3(op1(e10,e10))
| h3(op1(e10,e12)) != e23
| e21 != h3(op1(e10,e13))
| h3(op1(e12,e10)) != e22
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| e23 != h3(op1(e13,e10))
| h3(op1(e13,e12)) != e20
| e22 != h3(op1(e13,e13))
| h3(op1(e10,e11)) != e22
| h3(op1(e11,e12)) != e22
| h3(op1(e11,e13)) != e20
| h3(op1(e13,e11)) != e21 ),
inference(cn,[status(thm)],[18551,theory(equality)]) ).
cnf(18553,plain,
( h3(op1(e10,e10)) != e20
| h3(op1(e10,e12)) != e23
| h3(op1(e10,e13)) != e21
| h3(op1(e12,e10)) != e22
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| h3(op1(e13,e10)) != e23
| h3(op1(e13,e12)) != e20
| h3(op1(e13,e13)) != e22
| h3(op1(e10,e11)) != e22
| h3(op1(e11,e12)) != e22
| h3(op1(e11,e13)) != e20
| h3(op1(e13,e11)) != e21 ),
inference(sr,[status(thm)],[18552,16459,theory(equality)]) ).
cnf(20139,plain,
( e11 = e10
| op1(e13,e10) = e10
| op1(e10,e10) = e12
| op1(e13,e13) = e11 ),
inference(spm,[status(thm)],[749,11085,theory(equality)]) ).
cnf(20177,plain,
( op1(e13,e10) = e10
| op1(e10,e10) = e12
| op1(e13,e13) = e11 ),
inference(sr,[status(thm)],[20139,146,theory(equality)]) ).
cnf(20302,plain,
( e12 = e10
| op1(e13,e10) = e10
| op1(e13,e13) = e11 ),
inference(spm,[status(thm)],[749,20177,theory(equality)]) ).
cnf(20318,plain,
( op1(e13,e10) = e10
| op1(e13,e13) = e11 ),
inference(sr,[status(thm)],[20302,145,theory(equality)]) ).
cnf(20330,plain,
( op1(e13,e13) = e11
| e10 != op1(e13,e13) ),
inference(spm,[status(thm)],[182,20318,theory(equality)]) ).
cnf(20340,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| e10 = e11
| op1(e13,e12) = e13 ),
inference(spm,[status(thm)],[17088,20318,theory(equality)]) ).
cnf(20348,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[20340,146,theory(equality)]) ).
cnf(20351,plain,
op1(e13,e13) != e10,
inference(csr,[status(thm)],[20330,7868]) ).
cnf(20352,plain,
( op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[891,20351,theory(equality)]) ).
cnf(20353,plain,
( op1(e13,e12) = e10
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[1067,20351,theory(equality)]) ).
cnf(20363,plain,
( e10 = e11
| op1(e10,e13) = e10
| op1(e12,e12) != e11 ),
inference(spm,[status(thm)],[946,20352,theory(equality)]) ).
cnf(20377,plain,
( op1(e10,e13) = e10
| op1(e12,e12) != e11 ),
inference(sr,[status(thm)],[20363,146,theory(equality)]) ).
cnf(20516,plain,
( op1(e13,e10) = e10
| op1(e12,e12) != e11 ),
inference(spm,[status(thm)],[6853,20377,theory(equality)]) ).
cnf(20709,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e12 ),
inference(spm,[status(thm)],[20516,17609,theory(equality)]) ).
cnf(21042,plain,
( op1(e11,e11) = e13
| op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e13 ),
inference(spm,[status(thm)],[7525,20348,theory(equality)]) ).
cnf(21057,plain,
( e12 = e13
| op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e13 ),
inference(rw,[status(thm)],[21042,276,theory(equality)]) ).
cnf(21058,plain,
( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[21057,141,theory(equality)]) ).
cnf(21436,plain,
( e11 = e13
| op1(e13,e12) = e13
| e11 = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e11 ),
inference(spm,[status(thm)],[882,21058,theory(equality)]) ).
cnf(21456,plain,
( op1(e13,e12) = e13
| e11 = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e11 ),
inference(sr,[status(thm)],[21436,142,theory(equality)]) ).
cnf(21457,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e13) = e11 ),
inference(sr,[status(thm)],[21456,143,theory(equality)]) ).
cnf(21548,plain,
( e12 = e13
| e12 = e11
| op1(e13,e13) = e11
| op1(e13,e12) = e13 ),
inference(spm,[status(thm)],[20348,21457,theory(equality)]) ).
cnf(21549,plain,
( e11 = e12
| op1(e13,e13) = e11
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[21548,141,theory(equality)]) ).
cnf(21550,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[21549,143,theory(equality)]) ).
cnf(21552,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e11
| op1(e10,e10) = e12 ),
inference(spm,[status(thm)],[7517,21550,theory(equality)]) ).
cnf(21553,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e11
| op1(e12,e12) = e11 ),
inference(spm,[status(thm)],[7525,21550,theory(equality)]) ).
cnf(21566,plain,
( op1(e13,e13) = e11
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[21552,17083,theory(equality)]) ).
cnf(21567,plain,
( op1(e13,e13) = e11
| op1(e12,e12) = e11 ),
inference(sr,[status(thm)],[21553,17083,theory(equality)]) ).
cnf(21576,plain,
( op1(e13,e13) = e11
| e12 != op1(e12,e10) ),
inference(spm,[status(thm)],[225,21566,theory(equality)]) ).
cnf(21719,plain,
( op1(e13,e13) = e11
| op1(e12,e12) != e11 ),
inference(spm,[status(thm)],[21576,1000,theory(equality)]) ).
cnf(21965,plain,
op1(e13,e13) = e11,
inference(csr,[status(thm)],[21719,21567]) ).
cnf(21999,plain,
( h3(op1(e10,e10)) != e20
| h3(op1(e10,e12)) != e23
| h3(op1(e10,e13)) != e21
| h3(op1(e12,e10)) != e22
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| h3(op1(e13,e10)) != e23
| h3(op1(e13,e12)) != e20
| $false
| h3(op1(e10,e11)) != e22
| h3(op1(e11,e12)) != e22
| h3(op1(e11,e13)) != e20
| h3(op1(e13,e11)) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18553,21965,theory(equality)]),260,theory(equality)]) ).
cnf(22000,plain,
( h3(op1(e10,e10)) != e20
| h3(op1(e10,e12)) != e23
| h3(op1(e10,e13)) != e21
| h3(op1(e12,e10)) != e22
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| h3(op1(e13,e10)) != e23
| h3(op1(e13,e12)) != e20
| h3(op1(e10,e11)) != e22
| h3(op1(e11,e12)) != e22
| h3(op1(e11,e13)) != e20
| h3(op1(e13,e11)) != e21 ),
inference(cn,[status(thm)],[21999,theory(equality)]) ).
cnf(22028,plain,
( op1(e13,e12) != e13
| $false ),
inference(rw,[status(thm)],[7990,21965,theory(equality)]) ).
cnf(22029,plain,
op1(e13,e12) != e13,
inference(cn,[status(thm)],[22028,theory(equality)]) ).
cnf(22042,plain,
( $false
| op1(e12,e12) != e11 ),
inference(rw,[status(thm)],[7743,21965,theory(equality)]) ).
cnf(22043,plain,
op1(e12,e12) != e11,
inference(cn,[status(thm)],[22042,theory(equality)]) ).
cnf(22056,plain,
( op1(e13,e11) = e13
| $false ),
inference(rw,[status(thm)],[1097,21965,theory(equality)]) ).
cnf(22057,plain,
op1(e13,e11) = e13,
inference(cn,[status(thm)],[22056,theory(equality)]) ).
cnf(22058,plain,
( op1(e11,e13) = e10
| $false ),
inference(rw,[status(thm)],[989,21965,theory(equality)]) ).
cnf(22059,plain,
op1(e11,e13) = e10,
inference(cn,[status(thm)],[22058,theory(equality)]) ).
cnf(22074,plain,
( e13 = e11
| op1(e10,e10) = e12
| op1(e13,e10) != e10 ),
inference(rw,[status(thm)],[10764,22057,theory(equality)]) ).
cnf(22075,plain,
( op1(e10,e10) = e12
| op1(e13,e10) != e10 ),
inference(sr,[status(thm)],[22074,142,theory(equality)]) ).
cnf(22082,plain,
( op1(e10,e13) = e13
| e13 = e11
| op1(e12,e12) != e13 ),
inference(rw,[status(thm)],[9483,22057,theory(equality)]) ).
cnf(22083,plain,
( op1(e10,e13) = e13
| op1(e12,e12) != e13 ),
inference(sr,[status(thm)],[22082,142,theory(equality)]) ).
cnf(22108,plain,
( op1(op1(e10,e10),op1(e10,e10)) = e10
| op1(op1(e11,e12),op1(e11,e12)) = e11
| e11 = e13 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7581,22057,theory(equality)]),22057,theory(equality)]),21965,theory(equality)]) ).
cnf(22109,plain,
( op1(op1(e10,e10),op1(e10,e10)) = e10
| op1(op1(e11,e12),op1(e11,e12)) = e11 ),
inference(sr,[status(thm)],[22108,142,theory(equality)]) ).
cnf(22125,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e13,e10),op1(e13,e10)) = e13
| e11 = e13 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7531,22057,theory(equality)]),22057,theory(equality)]),21965,theory(equality)]) ).
cnf(22126,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(op1(e13,e10),op1(e13,e10)) = e13 ),
inference(sr,[status(thm)],[22125,142,theory(equality)]) ).
cnf(22156,plain,
( e13 = e11
| op1(e10,e11) = e11 ),
inference(rw,[status(thm)],[819,22057,theory(equality)]) ).
cnf(22157,plain,
op1(e10,e11) = e11,
inference(sr,[status(thm)],[22156,142,theory(equality)]) ).
cnf(22194,plain,
( e10 = e11
| op1(e11,e12) = e11 ),
inference(rw,[status(thm)],[941,22059,theory(equality)]) ).
cnf(22195,plain,
op1(e11,e12) = e11,
inference(sr,[status(thm)],[22194,146,theory(equality)]) ).
cnf(22373,plain,
( op1(e12,e12) = e13
| op1(e10,e12) = e13 ),
inference(sr,[status(thm)],[877,22029,theory(equality)]) ).
cnf(22422,plain,
op1(e12,e10) = e11,
inference(sr,[status(thm)],[17582,22043,theory(equality)]) ).
cnf(22423,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12 ),
inference(sr,[status(thm)],[17583,22043,theory(equality)]) ).
cnf(22581,plain,
( h3(op1(e10,e10)) != e20
| h3(op1(e10,e12)) != e23
| h3(op1(e10,e13)) != e21
| $false
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| h3(op1(e13,e10)) != e23
| h3(op1(e13,e12)) != e20
| h3(op1(e10,e11)) != e22
| h3(op1(e11,e12)) != e22
| h3(op1(e11,e13)) != e20
| h3(op1(e13,e11)) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22000,22422,theory(equality)]),260,theory(equality)]) ).
cnf(22582,plain,
( h3(op1(e10,e10)) != e20
| h3(op1(e10,e12)) != e23
| h3(op1(e10,e13)) != e21
| $false
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| h3(op1(e13,e10)) != e23
| h3(op1(e13,e12)) != e20
| $false
| h3(op1(e11,e12)) != e22
| h3(op1(e11,e13)) != e20
| h3(op1(e13,e11)) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22581,22157,theory(equality)]),260,theory(equality)]) ).
cnf(22583,plain,
( h3(op1(e10,e10)) != e20
| h3(op1(e10,e12)) != e23
| h3(op1(e10,e13)) != e21
| $false
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| h3(op1(e13,e10)) != e23
| h3(op1(e13,e12)) != e20
| $false
| $false
| h3(op1(e11,e13)) != e20
| h3(op1(e13,e11)) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22582,22195,theory(equality)]),260,theory(equality)]) ).
cnf(22584,plain,
( h3(op1(e10,e10)) != e20
| h3(op1(e10,e12)) != e23
| h3(op1(e10,e13)) != e21
| $false
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| h3(op1(e13,e10)) != e23
| h3(op1(e13,e12)) != e20
| $false
| $false
| $false
| h3(op1(e13,e11)) != e21 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22583,22059,theory(equality)]),16500,theory(equality)]) ).
cnf(22585,plain,
( h3(op1(e10,e10)) != e20
| h3(op1(e10,e12)) != e23
| h3(op1(e10,e13)) != e21
| $false
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| h3(op1(e13,e10)) != e23
| h3(op1(e13,e12)) != e20
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22584,22057,theory(equality)]),16504,theory(equality)]) ).
cnf(22586,plain,
( h3(op1(e10,e10)) != e20
| h3(op1(e10,e12)) != e23
| h3(op1(e10,e13)) != e21
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| h3(op1(e13,e10)) != e23
| h3(op1(e13,e12)) != e20 ),
inference(cn,[status(thm)],[22585,theory(equality)]) ).
cnf(23090,plain,
( op1(op1(e10,e10),op1(e10,e10)) = e10
| e12 = e11 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[22109,22195,theory(equality)]),22195,theory(equality)]),276,theory(equality)]) ).
cnf(23091,plain,
op1(op1(e10,e10),op1(e10,e10)) = e10,
inference(sr,[status(thm)],[23090,143,theory(equality)]) ).
cnf(23097,plain,
( op1(e12,e12) = e10
| op1(e13,e10) != e10 ),
inference(spm,[status(thm)],[23091,22075,theory(equality)]) ).
cnf(23105,plain,
op1(e13,e10) != e10,
inference(sr,[status(thm)],[23097,750,theory(equality)]) ).
cnf(23110,plain,
op1(e10,e10) = e10,
inference(sr,[status(thm)],[749,23105,theory(equality)]) ).
cnf(23112,plain,
op1(e13,e12) = e10,
inference(sr,[status(thm)],[20353,23105,theory(equality)]) ).
cnf(23113,plain,
op1(e13,e10) = e12,
inference(sr,[status(thm)],[20709,23105,theory(equality)]) ).
cnf(23128,plain,
( h3(op1(e10,e10)) != e20
| h3(op1(e10,e12)) != e23
| h3(op1(e10,e13)) != e21
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| h3(op1(e13,e10)) != e23
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22586,23112,theory(equality)]),16500,theory(equality)]) ).
cnf(23129,plain,
( h3(op1(e10,e10)) != e20
| h3(op1(e10,e12)) != e23
| h3(op1(e10,e13)) != e21
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| h3(op1(e13,e10)) != e23 ),
inference(cn,[status(thm)],[23128,theory(equality)]) ).
cnf(23246,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| e10 = e12 ),
inference(rw,[status(thm)],[764,23110,theory(equality)]) ).
cnf(23247,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12 ),
inference(sr,[status(thm)],[23246,145,theory(equality)]) ).
cnf(23269,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e10
| op1(e12,e12) = e13 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22126,23113,theory(equality)]),23113,theory(equality)]) ).
cnf(23274,plain,
( op1(e13,e13) = e10
| op1(e12,e12) = e13 ),
inference(spm,[status(thm)],[23269,22373,theory(equality)]) ).
cnf(23281,plain,
( e11 = e10
| op1(e12,e12) = e13 ),
inference(rw,[status(thm)],[23274,21965,theory(equality)]) ).
cnf(23282,plain,
op1(e12,e12) = e13,
inference(sr,[status(thm)],[23281,146,theory(equality)]) ).
cnf(23290,plain,
( op1(e10,e13) = e13
| $false ),
inference(rw,[status(thm)],[22083,23282,theory(equality)]) ).
cnf(23291,plain,
op1(e10,e13) = e13,
inference(cn,[status(thm)],[23290,theory(equality)]) ).
cnf(23292,plain,
( e13 = e12
| op1(e12,e13) = e12 ),
inference(rw,[status(thm)],[22423,23282,theory(equality)]) ).
cnf(23293,plain,
op1(e12,e13) = e12,
inference(sr,[status(thm)],[23292,141,theory(equality)]) ).
cnf(23361,plain,
( e13 = e12
| op1(e10,e12) = e12 ),
inference(rw,[status(thm)],[23247,23291,theory(equality)]) ).
cnf(23362,plain,
op1(e10,e12) = e12,
inference(sr,[status(thm)],[23361,141,theory(equality)]) ).
cnf(23616,plain,
( $false
| h3(op1(e10,e12)) != e23
| h3(op1(e10,e13)) != e21
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| h3(op1(e13,e10)) != e23 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[23129,23110,theory(equality)]),16500,theory(equality)]) ).
cnf(23617,plain,
( $false
| $false
| h3(op1(e10,e13)) != e21
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| h3(op1(e13,e10)) != e23 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[23616,23362,theory(equality)]),16375,theory(equality)]) ).
cnf(23618,plain,
( $false
| $false
| $false
| h3(op1(e12,e12)) != e21
| h3(op1(e12,e13)) != e23
| h3(op1(e13,e10)) != e23 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[23617,23291,theory(equality)]),16504,theory(equality)]) ).
cnf(23619,plain,
( $false
| $false
| $false
| $false
| h3(op1(e12,e13)) != e23
| h3(op1(e13,e10)) != e23 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[23618,23282,theory(equality)]),16504,theory(equality)]) ).
cnf(23620,plain,
( $false
| $false
| $false
| $false
| $false
| h3(op1(e13,e10)) != e23 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[23619,23293,theory(equality)]),16375,theory(equality)]) ).
cnf(23621,plain,
( $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[23620,23113,theory(equality)]),16375,theory(equality)]) ).
cnf(23622,plain,
$false,
inference(cn,[status(thm)],[23621,theory(equality)]) ).
cnf(23623,plain,
$false,
23622,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG112+1.p
% --creating new selector for []
% -running prover on /tmp/tmpz9V8TV/sel_ALG112+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG112+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG112+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG112+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above