TSTP Solution File: ALG118+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG118+1 : TPTP v5.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 03:55:21 EST 2010
% Result : Theorem 4.23s
% Output : CNFRefutation 4.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 24
% Syntax : Number of formulae : 516 ( 172 unt; 0 def)
% Number of atoms : 6296 (5841 equ)
% Maximal formula atoms : 1280 ( 12 avg)
% Number of connectives : 8730 (2950 ~;3915 |;1857 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 9 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/tmpCrGJdT/sel_ALG118+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/tmpCrGJdT/sel_ALG118+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/tmpCrGJdT/sel_ALG118+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/tmpCrGJdT/sel_ALG118+1.p_1',ax6) ).
fof(5,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/tmp/tmpCrGJdT/sel_ALG118+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/tmpCrGJdT/sel_ALG118+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/tmpCrGJdT/sel_ALG118+1.p_1',ax5) ).
fof(8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/tmp/tmpCrGJdT/sel_ALG118+1.p_1',ax8) ).
fof(10,axiom,
( h1(e11) = e20
& h1(e10) = op2(e20,e20)
& h1(e12) = op2(op2(op2(e20,e20),e20),op2(e20,e20))
& h1(e13) = op2(op2(e20,e20),e20) ),
file('/tmp/tmpCrGJdT/sel_ALG118+1.p_1',ax14) ).
fof(12,axiom,
( h3(e11) = e22
& h3(e10) = op2(e22,e22)
& h3(e12) = op2(op2(op2(e22,e22),e22),op2(e22,e22))
& h3(e13) = op2(op2(e22,e22),e22) ),
file('/tmp/tmpCrGJdT/sel_ALG118+1.p_1',ax16) ).
fof(13,axiom,
( h4(e11) = e23
& h4(e10) = op2(e23,e23)
& h4(e12) = op2(op2(op2(e23,e23),e23),op2(e23,e23))
& h4(e13) = op2(op2(e23,e23),e23) ),
file('/tmp/tmpCrGJdT/sel_ALG118+1.p_1',ax17) ).
fof(14,axiom,
( ( op1(e10,e10) = e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e12,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e11
| op1(e12,e13) = e12
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 ) )
& ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13 ) ) ),
file('/tmp/tmpCrGJdT/sel_ALG118+1.p_1',ax10) ).
fof(15,axiom,
( ( op2(e20,e20) = e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e22,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 ) )
& ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23 ) ) ),
file('/tmp/tmpCrGJdT/sel_ALG118+1.p_1',ax11) ).
fof(16,axiom,
( e10 = op1(e11,e11)
& e12 = op1(op1(op1(e11,e11),e11),op1(e11,e11))
& e13 = op1(op1(e11,e11),e11) ),
file('/tmp/tmpCrGJdT/sel_ALG118+1.p_1',ax12) ).
fof(17,axiom,
( e20 = op2(e21,e21)
& e22 = op2(op2(op2(e21,e21),e21),op2(e21,e21))
& e23 = op2(op2(e21,e21),e21) ),
file('/tmp/tmpCrGJdT/sel_ALG118+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/tmpCrGJdT/sel_ALG118+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,
( ( op1(e10,e10) = e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e12,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e11
| op1(e12,e13) = e12
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 ) )
& ( op1(e10,e10) = e10
| ( op1(e10,e10) = e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,e10) = e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,e10) = e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e11,e11) = e11
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| op1(e11,e11) = e11
| ( op1(e11,e11) = e11
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,e11) = e11
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e12,e12) = e12
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,e12) = e12
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| op1(e12,e12) = e12
| ( op1(e12,e12) = e12
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e13,e13) = e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,e13) = e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,e13) = e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| op1(e13,e13) = e13 ) ),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(21,plain,
( ( op2(e20,e20) = e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e22,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 ) )
& ( op2(e20,e20) = e20
| ( op2(e20,e20) = e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,e20) = e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,e20) = e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e21,e21) = e21
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| op2(e21,e21) = e21
| ( op2(e21,e21) = e21
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,e21) = e21
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e22,e22) = e22
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,e22) = e22
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| op2(e22,e22) = e22
| ( op2(e22,e22) = e22
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e23,e23) = e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,e23) = e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,e23) = e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| op2(e23,e23) = e23 ) ),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(22,plain,
( epred1_0
=> ( ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ) ),
introduced(definition) ).
fof(42,plain,
( epred21_0
=> ( op1(e10,e10) = e10
| ( op1(e10,e10) = e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,e10) = e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,e10) = e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e11,e11) = e11
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| op1(e11,e11) = e11
| ( op1(e11,e11) = e11
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,e11) = e11
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e12,e12) = e12
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e12,e12) = e12
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| op1(e12,e12) = e12
| ( op1(e12,e12) = e12
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e13,e13) = e13
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,e13) = e13
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,e13) = e13
& op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ) ),
introduced(definition) ).
fof(43,plain,
( epred22_0
=> ( ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ) ),
introduced(definition) ).
fof(63,plain,
( epred42_0
=> ( op2(e20,e20) = e20
| ( op2(e20,e20) = e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,e20) = e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,e20) = e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e21,e21) = e21
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| op2(e21,e21) = e21
| ( op2(e21,e21) = e21
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,e21) = e21
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e22,e22) = e22
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e22,e22) = e22
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| op2(e22,e22) = e22
| ( op2(e22,e22) = e22
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e23,e23) = e23
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,e23) = e23
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,e23) = e23
& op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ),
introduced(definition) ).
fof(64,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 ) )
=> epred43_0 ),
introduced(definition) ).
fof(65,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 ) )
=> epred44_0 ),
introduced(definition) ).
fof(66,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 ) )
=> epred45_0 ),
introduced(definition) ).
fof(67,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 ) )
=> epred46_0 ),
introduced(definition) ).
fof(68,plain,
( ( op1(e10,e10) = e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e12,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e11
| op1(e12,e13) = e12
| op1(e13,e13) = e13 )
& ( epred1_0
| ( op1(e13,op1(e13,e10)) != e10
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e13)) != e13 ) )
& ( epred21_0
| op1(e13,e13) = e13 ) ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[20,22,theory(equality)]),42,theory(equality)]) ).
fof(69,plain,
( ( op2(e20,e20) = e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e22,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22
| op2(e23,e23) = e23 )
& ( epred22_0
| ( op2(e23,op2(e23,e20)) != e20
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e23)) != e23 ) )
& ( epred42_0
| op2(e23,e23) = e23 ) ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[21,43,theory(equality)]),63,theory(equality)]) ).
fof(70,negated_conjecture,
~ ( ( epred43_0
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( epred44_0
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( epred45_0
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( epred46_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)],[19,64,theory(equality)]),65,theory(equality)]),66,theory(equality)]),67,theory(equality)]) ).
cnf(109,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(113,plain,
( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(115,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(117,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(118,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(119,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(123,plain,
( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(126,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(127,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(128,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(129,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(133,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(137,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(139,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(141,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(143,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(152,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(154,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(156,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(168,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(173,plain,
op2(e23,e22) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(174,plain,
op2(e23,e21) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(176,plain,
op2(e23,e20) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(177,plain,
op2(e23,e20) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(178,plain,
op2(e23,e20) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(180,plain,
op2(e22,e21) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(181,plain,
op2(e22,e21) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(182,plain,
op2(e22,e20) != op2(e22,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(186,plain,
op2(e21,e21) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(187,plain,
op2(e21,e21) != op2(e21,e22),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(188,plain,
op2(e21,e20) != op2(e21,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(190,plain,
op2(e21,e20) != op2(e21,e21),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(191,plain,
op2(e20,e22) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(192,plain,
op2(e20,e21) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(193,plain,
op2(e20,e21) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(194,plain,
op2(e20,e20) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(195,plain,
op2(e20,e20) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(196,plain,
op2(e20,e20) != op2(e20,e21),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(198,plain,
op2(e21,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(204,plain,
op2(e21,e22) != op2(e23,e22),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(210,plain,
op2(e21,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(212,plain,
op2(e20,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(215,plain,
op2(e22,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(216,plain,
op2(e21,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(217,plain,
op2(e21,e20) != op2(e22,e20),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(218,plain,
op2(e20,e20) != op2(e23,e20),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(220,plain,
op2(e20,e20) != op2(e21,e20),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(221,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(222,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(223,plain,
e11 != e12,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(224,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(225,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(226,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(227,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(229,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(231,plain,
( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(233,plain,
( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(234,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(235,plain,
( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(237,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(241,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(244,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(245,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(246,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(255,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(259,plain,
op1(e13,e12) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(260,plain,
op1(e13,e11) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(263,plain,
op1(e13,e10) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(264,plain,
op1(e13,e10) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(266,plain,
op1(e12,e11) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(267,plain,
op1(e12,e11) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(268,plain,
op1(e12,e10) != op1(e12,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(272,plain,
op1(e11,e11) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(273,plain,
op1(e11,e11) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(274,plain,
op1(e11,e10) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(275,plain,
op1(e11,e10) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(276,plain,
op1(e11,e10) != op1(e11,e11),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(278,plain,
op1(e10,e11) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(279,plain,
op1(e10,e11) != op1(e10,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(280,plain,
op1(e10,e10) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(281,plain,
op1(e10,e10) != op1(e10,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(282,plain,
op1(e10,e10) != op1(e10,e11),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(283,plain,
op1(e12,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(284,plain,
op1(e11,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(290,plain,
op1(e11,e12) != op1(e13,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(294,plain,
op1(e10,e12) != op1(e11,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(299,plain,
op1(e10,e11) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(301,plain,
op1(e12,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(302,plain,
op1(e11,e10) != op1(e13,e10),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(303,plain,
op1(e11,e10) != op1(e12,e10),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(307,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(308,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(309,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(310,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(311,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(312,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(331,plain,
h1(e10) = op2(e20,e20),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(337,plain,
h3(e13) = op2(op2(e22,e22),e22),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(338,plain,
h3(e12) = op2(op2(op2(e22,e22),e22),op2(e22,e22)),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(339,plain,
h3(e10) = op2(e22,e22),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(340,plain,
h3(e11) = e22,
inference(split_conjunct,[status(thm)],[12]) ).
cnf(341,plain,
h4(e13) = op2(op2(e23,e23),e23),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(343,plain,
h4(e10) = op2(e23,e23),
inference(split_conjunct,[status(thm)],[13]) ).
fof(345,plain,
( ( op1(e10,e10) = e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e12,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e11
| op1(e12,e13) = e12
| op1(e13,e13) = e13 )
& ( op1(e13,op1(e13,e10)) != e10
| epred1_0 )
& ( op1(e13,op1(e13,e11)) != e11
| epred1_0 )
& ( op1(e13,op1(e13,e12)) != e12
| epred1_0 )
& ( op1(e13,op1(e13,e13)) != e13
| epred1_0 )
& ( epred21_0
| op1(e13,e13) = e13 ) ),
inference(distribute,[status(thm)],[68]) ).
cnf(349,plain,
( epred1_0
| op1(e13,op1(e13,e11)) != e11 ),
inference(split_conjunct,[status(thm)],[345]) ).
cnf(351,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e12
| op1(e11,e13) = e11
| op1(e10,e13) = e10 ),
inference(split_conjunct,[status(thm)],[345]) ).
cnf(352,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e12
| op1(e11,e12) = e11
| op1(e10,e12) = e10 ),
inference(split_conjunct,[status(thm)],[345]) ).
cnf(354,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e12
| op1(e11,e10) = e11
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[345]) ).
fof(355,plain,
( ( op2(e20,e20) = e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e22,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22
| op2(e23,e23) = e23 )
& ( op2(e23,op2(e23,e20)) != e20
| epred22_0 )
& ( op2(e23,op2(e23,e21)) != e21
| epred22_0 )
& ( op2(e23,op2(e23,e22)) != e22
| epred22_0 )
& ( op2(e23,op2(e23,e23)) != e23
| epred22_0 )
& ( epred42_0
| op2(e23,e23) = e23 ) ),
inference(distribute,[status(thm)],[69]) ).
cnf(359,plain,
( epred22_0
| op2(e23,op2(e23,e21)) != e21 ),
inference(split_conjunct,[status(thm)],[355]) ).
cnf(361,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e22
| op2(e21,e23) = e21
| op2(e20,e23) = e20 ),
inference(split_conjunct,[status(thm)],[355]) ).
cnf(362,plain,
( op2(e23,e22) = e23
| op2(e22,e22) = e22
| op2(e21,e22) = e21
| op2(e20,e22) = e20 ),
inference(split_conjunct,[status(thm)],[355]) ).
cnf(364,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e22
| op2(e21,e20) = e21
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[355]) ).
cnf(365,plain,
e13 = op1(op1(e11,e11),e11),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(366,plain,
e12 = op1(op1(op1(e11,e11),e11),op1(e11,e11)),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(367,plain,
e10 = op1(e11,e11),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(368,plain,
e23 = op2(op2(e21,e21),e21),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(369,plain,
e22 = op2(op2(op2(e21,e21),e21),op2(e21,e21)),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(370,plain,
e20 = op2(e21,e21),
inference(split_conjunct,[status(thm)],[17]) ).
fof(371,negated_conjecture,
( ( ~ epred43_0
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( ~ epred44_0
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( ~ epred45_0
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( ~ epred46_0
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(fof_nnf,[status(thm)],[70]) ).
fof(372,negated_conjecture,
( ( h1(e10) != e23
| ~ epred43_0 )
& ( h1(e11) != e23
| ~ epred43_0 )
& ( h1(e12) != e23
| ~ epred43_0 )
& ( h1(e13) != e23
| ~ epred43_0 )
& ( h2(e10) != e23
| ~ epred44_0 )
& ( h2(e11) != e23
| ~ epred44_0 )
& ( h2(e12) != e23
| ~ epred44_0 )
& ( h2(e13) != e23
| ~ epred44_0 )
& ( h3(e10) != e23
| ~ epred45_0 )
& ( h3(e11) != e23
| ~ epred45_0 )
& ( h3(e12) != e23
| ~ epred45_0 )
& ( h3(e13) != e23
| ~ epred45_0 )
& ( h4(e10) != e23
| ~ epred46_0 )
& ( h4(e11) != e23
| ~ epred46_0 )
& ( h4(e12) != e23
| ~ epred46_0 )
& ( h4(e13) != e23
| ~ epred46_0 ) ),
inference(distribute,[status(thm)],[371]) ).
cnf(378,negated_conjecture,
( ~ epred45_0
| h3(e12) != e23 ),
inference(split_conjunct,[status(thm)],[372]) ).
cnf(380,negated_conjecture,
( ~ epred45_0
| h3(e10) != e23 ),
inference(split_conjunct,[status(thm)],[372]) ).
fof(389,plain,
( ~ epred1_0
| ( op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(390,plain,
( ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e10)) != e10
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e11)) != e11
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e12)) != e12
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e10)) != e10
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e11)) != e11
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e12)) != e12
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e10)) != e10
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e11)) != e11
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e12)) != e12
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 )
& ( op1(e12,op1(e12,e13)) != e13
| op1(e11,op1(e11,e13)) != e13
| op1(e10,op1(e10,e13)) != e13
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[389]) ).
cnf(443,plain,
( ~ epred1_0
| op1(e10,op1(e10,e10)) != e10
| op1(e11,op1(e11,e12)) != e12
| op1(e12,op1(e12,e13)) != e13 ),
inference(split_conjunct,[status(thm)],[390]) ).
fof(1613,plain,
( ~ epred22_0
| ( op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ),
inference(fof_nnf,[status(thm)],[43]) ).
fof(1614,plain,
( ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e20)) != e20
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e21)) != e21
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e22)) != e22
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e20)) != e20
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e21)) != e21
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e22)) != e22
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e20)) != e20
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e21)) != e21
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e22)) != e22
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 )
& ( op2(e22,op2(e22,e23)) != e23
| op2(e21,op2(e21,e23)) != e23
| op2(e20,op2(e20,e23)) != e23
| ~ epred22_0 ) ),
inference(distribute,[status(thm)],[1613]) ).
cnf(1667,plain,
( ~ epred22_0
| op2(e20,op2(e20,e20)) != e20
| op2(e21,op2(e21,e22)) != e22
| op2(e22,op2(e22,e23)) != e23 ),
inference(split_conjunct,[status(thm)],[1614]) ).
fof(2969,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 )
| epred45_0 ),
inference(fof_nnf,[status(thm)],[66]) ).
fof(2970,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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_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))
| epred45_0 ) ),
inference(distribute,[status(thm)],[2969]) ).
cnf(2977,plain,
( epred45_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(e13) != e20
| h3(e12) != e21
| h3(e11) != e22 ),
inference(split_conjunct,[status(thm)],[2970]) ).
cnf(3103,plain,
op1(e10,e11) = e13,
inference(rw,[status(thm)],[365,367,theory(equality)]) ).
cnf(3119,plain,
e13 != op1(e10,e10),
inference(rw,[status(thm)],[282,3103,theory(equality)]) ).
cnf(3126,plain,
op1(e10,e12) != e13,
inference(rw,[status(thm)],[279,3103,theory(equality)]) ).
cnf(3129,plain,
op1(e10,e13) != e13,
inference(rw,[status(thm)],[278,3103,theory(equality)]) ).
cnf(3139,plain,
e10 != op1(e11,e10),
inference(rw,[status(thm)],[276,367,theory(equality)]) ).
cnf(3144,plain,
op2(h4(e10),e23) = h4(e13),
inference(rw,[status(thm)],[341,343,theory(equality)]) ).
cnf(3151,plain,
op1(e11,e12) != e10,
inference(rw,[status(thm)],[273,367,theory(equality)]) ).
cnf(3155,plain,
op1(e11,e13) != e10,
inference(rw,[status(thm)],[272,367,theory(equality)]) ).
cnf(3163,plain,
op1(e12,e11) != e13,
inference(rw,[status(thm)],[299,3103,theory(equality)]) ).
cnf(3186,plain,
op2(e20,e21) = e23,
inference(rw,[status(thm)],[368,370,theory(equality)]) ).
cnf(3213,plain,
op2(h3(e10),e22) = h3(e13),
inference(rw,[status(thm)],[337,339,theory(equality)]) ).
cnf(3244,plain,
h4(e10) != op2(e21,e23),
inference(rw,[status(thm)],[198,343,theory(equality)]) ).
cnf(3251,plain,
e23 != op2(e20,e20),
inference(rw,[status(thm)],[196,3186,theory(equality)]) ).
cnf(3252,plain,
e23 != h1(e10),
inference(rw,[status(thm)],[3251,331,theory(equality)]) ).
cnf(3259,plain,
h4(e10) != op2(e23,e20),
inference(rw,[status(thm)],[176,343,theory(equality)]) ).
cnf(3262,plain,
h4(e10) != op2(e23,e21),
inference(rw,[status(thm)],[174,343,theory(equality)]) ).
cnf(3264,plain,
h4(e10) != op2(e23,e22),
inference(rw,[status(thm)],[173,343,theory(equality)]) ).
cnf(3274,plain,
op2(e20,e22) != h1(e10),
inference(rw,[status(thm)],[195,331,theory(equality)]) ).
cnf(3287,plain,
op2(e20,e22) != e23,
inference(rw,[status(thm)],[193,3186,theory(equality)]) ).
cnf(3294,plain,
op2(e20,e23) != h1(e10),
inference(rw,[status(thm)],[194,331,theory(equality)]) ).
cnf(3297,plain,
op2(e20,e23) != e23,
inference(rw,[status(thm)],[192,3186,theory(equality)]) ).
cnf(3313,plain,
op2(e21,e23) != e20,
inference(rw,[status(thm)],[186,370,theory(equality)]) ).
cnf(3329,plain,
op2(e21,e20) != h1(e10),
inference(rw,[status(thm)],[220,331,theory(equality)]) ).
cnf(3338,plain,
op2(e23,e20) != h1(e10),
inference(rw,[status(thm)],[218,331,theory(equality)]) ).
cnf(3358,plain,
op2(e23,e21) != e23,
inference(rw,[status(thm)],[212,3186,theory(equality)]) ).
cnf(3360,plain,
op2(e23,e21) != e20,
inference(rw,[status(thm)],[210,370,theory(equality)]) ).
cnf(3371,plain,
e20 != op2(e21,e20),
inference(rw,[status(thm)],[190,370,theory(equality)]) ).
cnf(3398,plain,
op2(e21,e22) != e20,
inference(rw,[status(thm)],[187,370,theory(equality)]) ).
cnf(3431,plain,
h3(e10) != op2(e22,e21),
inference(rw,[status(thm)],[181,339,theory(equality)]) ).
cnf(3456,plain,
op1(e13,e10) = e12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[366,367,theory(equality)]),3103,theory(equality)]),367,theory(equality)]) ).
cnf(3458,plain,
op1(e13,e12) != e12,
inference(rw,[status(thm)],[263,3456,theory(equality)]) ).
cnf(3459,plain,
op1(e13,e11) != e12,
inference(rw,[status(thm)],[264,3456,theory(equality)]) ).
cnf(3460,plain,
op1(e12,e10) != e12,
inference(rw,[status(thm)],[301,3456,theory(equality)]) ).
cnf(3461,plain,
op1(e11,e10) != e12,
inference(rw,[status(thm)],[302,3456,theory(equality)]) ).
cnf(3488,plain,
op2(e23,e20) = e22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[369,370,theory(equality)]),3186,theory(equality)]),370,theory(equality)]) ).
cnf(3489,plain,
op2(e22,e20) != e22,
inference(rw,[status(thm)],[215,3488,theory(equality)]) ).
cnf(3490,plain,
op2(e21,e20) != e22,
inference(rw,[status(thm)],[216,3488,theory(equality)]) ).
cnf(3491,plain,
e22 != h1(e10),
inference(rw,[status(thm)],[3338,3488,theory(equality)]) ).
cnf(3492,plain,
op2(e23,e22) != e22,
inference(rw,[status(thm)],[177,3488,theory(equality)]) ).
cnf(3493,plain,
op2(e23,e21) != e22,
inference(rw,[status(thm)],[178,3488,theory(equality)]) ).
cnf(3494,plain,
e22 != h4(e10),
inference(rw,[status(thm)],[3259,3488,theory(equality)]) ).
cnf(5258,plain,
op2(h3(e13),h3(e10)) = h3(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[338,339,theory(equality)]),3213,theory(equality)]),339,theory(equality)]) ).
cnf(7774,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| e12 = e10 ),
inference(rw,[status(thm)],[139,3456,theory(equality)]) ).
cnf(7775,plain,
( op1(e10,e10) = e10
| op1(e12,e10) = e10
| e12 = e10 ),
inference(sr,[status(thm)],[7774,3139,theory(equality)]) ).
cnf(7776,plain,
( op1(e10,e10) = e10
| op1(e12,e10) = e10 ),
inference(sr,[status(thm)],[7775,225,theory(equality)]) ).
cnf(7795,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12
| e12 = e13 ),
inference(rw,[status(thm)],[354,3456,theory(equality)]) ).
cnf(7796,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12 ),
inference(sr,[status(thm)],[7795,221,theory(equality)]) ).
cnf(7819,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| e12 = e11 ),
inference(rw,[status(thm)],[137,3456,theory(equality)]) ).
cnf(7820,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(sr,[status(thm)],[7819,223,theory(equality)]) ).
cnf(7843,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| e12 = e13 ),
inference(rw,[status(thm)],[133,3456,theory(equality)]) ).
cnf(7844,plain,
( op1(e11,e10) = e13
| op1(e12,e10) = e13
| e12 = e13 ),
inference(sr,[status(thm)],[7843,3119,theory(equality)]) ).
cnf(7845,plain,
( op1(e11,e10) = e13
| op1(e12,e10) = e13 ),
inference(sr,[status(thm)],[7844,221,theory(equality)]) ).
cnf(7898,plain,
( e13 = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(rw,[status(thm)],[129,3103,theory(equality)]) ).
cnf(7899,plain,
( e13 = e11
| e10 = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(rw,[status(thm)],[7898,367,theory(equality)]) ).
cnf(7900,plain,
( e11 = e10
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(sr,[status(thm)],[7899,222,theory(equality)]) ).
cnf(7901,plain,
( op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(sr,[status(thm)],[7900,226,theory(equality)]) ).
cnf(7928,plain,
( e13 = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(rw,[status(thm)],[127,3103,theory(equality)]) ).
cnf(7929,plain,
( e13 = e12
| e10 = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(rw,[status(thm)],[7928,367,theory(equality)]) ).
cnf(7930,plain,
( e12 = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(sr,[status(thm)],[7929,221,theory(equality)]) ).
cnf(7931,plain,
( op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(sr,[status(thm)],[7930,225,theory(equality)]) ).
cnf(7982,plain,
( op1(e10,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(sr,[status(thm)],[123,3151,theory(equality)]) ).
cnf(8087,plain,
( op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[117,3126,theory(equality)]) ).
cnf(8157,plain,
( op1(e10,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(sr,[status(thm)],[115,3155,theory(equality)]) ).
cnf(8282,plain,
( op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(sr,[status(thm)],[109,3129,theory(equality)]) ).
cnf(8309,plain,
( op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference(sr,[status(thm)],[168,3139,theory(equality)]) ).
cnf(8357,plain,
( op1(e11,e10) = e12
| e10 = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(rw,[status(thm)],[128,367,theory(equality)]) ).
cnf(8358,plain,
( op1(e11,e10) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(sr,[status(thm)],[8357,225,theory(equality)]) ).
cnf(8405,plain,
( op1(e11,e10) = e13
| e10 = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(rw,[status(thm)],[126,367,theory(equality)]) ).
cnf(8406,plain,
( op1(e11,e10) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(sr,[status(thm)],[8405,224,theory(equality)]) ).
cnf(8412,plain,
( op1(e11,e13) = e13
| op1(e11,e10) = e13
| e13 != op1(e13,e12) ),
inference(spm,[status(thm)],[290,8406,theory(equality)]) ).
cnf(8623,plain,
( op1(e12,e10) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(sr,[status(thm)],[118,3163,theory(equality)]) ).
cnf(9507,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| h4(e10) = e23 ),
inference(rw,[status(thm)],[227,343,theory(equality)]) ).
cnf(9508,plain,
( op2(e21,e23) = e23
| op2(e22,e23) = e23
| h4(e10) = e23 ),
inference(sr,[status(thm)],[9507,3297,theory(equality)]) ).
cnf(9534,plain,
( h4(e10) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
inference(rw,[status(thm)],[141,343,theory(equality)]) ).
cnf(9535,plain,
( h4(e10) = e20
| h4(e10) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
inference(rw,[status(thm)],[9534,343,theory(equality)]) ).
cnf(9536,plain,
( h4(e10) = e20
| h4(e10) = e21
| h4(e10) = e22
| op2(e23,e23) = e23 ),
inference(rw,[status(thm)],[9535,343,theory(equality)]) ).
cnf(9537,plain,
( h4(e10) = e20
| h4(e10) = e21
| h4(e10) = e22
| h4(e10) = e23 ),
inference(rw,[status(thm)],[9536,343,theory(equality)]) ).
cnf(10862,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22
| h4(e10) = e23 ),
inference(rw,[status(thm)],[361,343,theory(equality)]) ).
cnf(13997,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| h3(e10) = e23
| op2(e23,e22) = e23 ),
inference(rw,[status(thm)],[235,339,theory(equality)]) ).
cnf(13998,plain,
( op2(e21,e22) = e23
| h3(e10) = e23
| op2(e23,e22) = e23 ),
inference(sr,[status(thm)],[13997,3287,theory(equality)]) ).
cnf(14065,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| h4(e10) = e20 ),
inference(rw,[status(thm)],[233,343,theory(equality)]) ).
cnf(14066,plain,
( op2(e20,e23) = e20
| op2(e22,e23) = e20
| h4(e10) = e20 ),
inference(sr,[status(thm)],[14065,3313,theory(equality)]) ).
cnf(14088,plain,
( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| h4(e10) = e21 ),
inference(rw,[status(thm)],[231,343,theory(equality)]) ).
cnf(14113,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| h4(e10) = e22 ),
inference(rw,[status(thm)],[229,343,theory(equality)]) ).
cnf(14160,plain,
( op2(e21,e20) = e23
| e20 = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(rw,[status(thm)],[244,370,theory(equality)]) ).
cnf(14161,plain,
( op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(sr,[status(thm)],[14160,310,theory(equality)]) ).
cnf(14163,plain,
( op2(e21,e23) = e23
| op2(e21,e20) = e23
| e23 != op2(e23,e22) ),
inference(spm,[status(thm)],[204,14161,theory(equality)]) ).
cnf(14301,plain,
( e22 = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(rw,[status(thm)],[234,3488,theory(equality)]) ).
cnf(14302,plain,
( e22 = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| h4(e10) = e20 ),
inference(rw,[status(thm)],[14301,343,theory(equality)]) ).
cnf(14303,plain,
( op2(e23,e21) = e20
| op2(e23,e22) = e20
| h4(e10) = e20 ),
inference(sr,[status(thm)],[14302,311,theory(equality)]) ).
cnf(14574,plain,
( h1(e10) = e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 ),
inference(rw,[status(thm)],[364,331,theory(equality)]) ).
cnf(14575,plain,
( h1(e10) = e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22
| e22 = e23 ),
inference(rw,[status(thm)],[14574,3488,theory(equality)]) ).
cnf(14576,plain,
( h1(e10) = e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22 ),
inference(sr,[status(thm)],[14575,307,theory(equality)]) ).
cnf(14611,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| h3(e10) = e22
| op2(e23,e22) = e23 ),
inference(rw,[status(thm)],[362,339,theory(equality)]) ).
cnf(14640,plain,
( h1(e10) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(rw,[status(thm)],[156,331,theory(equality)]) ).
cnf(14641,plain,
( h1(e10) = e20
| h1(e10) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(rw,[status(thm)],[14640,331,theory(equality)]) ).
cnf(14642,plain,
( h1(e10) = e20
| h1(e10) = e21
| h1(e10) = e22
| op2(e20,e20) = e23 ),
inference(rw,[status(thm)],[14641,331,theory(equality)]) ).
cnf(14643,plain,
( h1(e10) = e20
| h1(e10) = e21
| h1(e10) = e22
| h1(e10) = e23 ),
inference(rw,[status(thm)],[14642,331,theory(equality)]) ).
cnf(14644,plain,
( h1(e10) = e20
| h1(e10) = e21
| h1(e10) = e22 ),
inference(sr,[status(thm)],[14643,3252,theory(equality)]) ).
cnf(14698,plain,
( h1(e10) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(rw,[status(thm)],[255,331,theory(equality)]) ).
cnf(14699,plain,
( h1(e10) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| e22 = e21 ),
inference(rw,[status(thm)],[14698,3488,theory(equality)]) ).
cnf(14700,plain,
( h1(e10) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21 ),
inference(sr,[status(thm)],[14699,309,theory(equality)]) ).
cnf(14763,plain,
( e23 = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(rw,[status(thm)],[245,3186,theory(equality)]) ).
cnf(14764,plain,
( e23 = e22
| e20 = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(rw,[status(thm)],[14763,370,theory(equality)]) ).
cnf(14765,plain,
( e22 = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(sr,[status(thm)],[14764,307,theory(equality)]) ).
cnf(14766,plain,
( op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(sr,[status(thm)],[14765,311,theory(equality)]) ).
cnf(14779,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(sr,[status(thm)],[154,3287,theory(equality)]) ).
cnf(14801,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| h3(e10) = e20
| op2(e23,e22) = e20 ),
inference(rw,[status(thm)],[241,339,theory(equality)]) ).
cnf(14802,plain,
( op2(e20,e22) = e20
| h3(e10) = e20
| op2(e23,e22) = e20 ),
inference(sr,[status(thm)],[14801,3398,theory(equality)]) ).
cnf(14845,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| h3(e10) = e22
| op2(e23,e22) = e22 ),
inference(rw,[status(thm)],[237,339,theory(equality)]) ).
cnf(14892,plain,
( op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(sr,[status(thm)],[152,3371,theory(equality)]) ).
cnf(14934,plain,
( op2(e21,e20) = e22
| e20 = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(rw,[status(thm)],[246,370,theory(equality)]) ).
cnf(14935,plain,
( op2(e21,e20) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(sr,[status(thm)],[14934,311,theory(equality)]) ).
cnf(15713,plain,
( op2(e20,h1(e10)) != e20
| op2(e21,op2(e21,e22)) != e22
| op2(e22,op2(e22,e23)) != e23
| ~ epred22_0 ),
inference(rw,[status(thm)],[1667,331,theory(equality)]) ).
cnf(20338,plain,
( epred45_0
| $false
| h3(e12) != e21
| h3(e13) != e20
| 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)],[2977,340,theory(equality)]) ).
cnf(20339,plain,
( epred45_0
| $false
| h3(e12) != e21
| h3(e13) != e20
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| h3(e13) != 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)],[inference(rw,[status(thm)],[20338,340,theory(equality)]),3213,theory(equality)]) ).
cnf(20340,plain,
( epred45_0
| $false
| h3(e12) != e21
| h3(e13) != e20
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| $false
| 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)],[20339,3103,theory(equality)]) ).
cnf(20341,plain,
( epred45_0
| $false
| h3(e12) != e21
| h3(e13) != e20
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| $false
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(e22,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)],[20340,340,theory(equality)]) ).
cnf(20342,plain,
( epred45_0
| $false
| h3(e12) != e21
| h3(e13) != e20
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| $false
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(e22,h3(e10)) != h3(op1(e11,e10))
| h3(e10) != 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)],[20341,340,theory(equality)]),340,theory(equality)]),339,theory(equality)]) ).
cnf(20343,plain,
( epred45_0
| $false
| h3(e12) != e21
| h3(e13) != e20
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| $false
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(e22,h3(e10)) != h3(op1(e11,e10))
| $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)],[20342,367,theory(equality)]) ).
cnf(20344,plain,
( epred45_0
| $false
| h3(e12) != e21
| h3(e13) != e20
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| $false
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(e22,h3(e10)) != h3(op1(e11,e10))
| $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)],[20343,340,theory(equality)]) ).
cnf(20345,plain,
( epred45_0
| $false
| h3(e12) != e21
| h3(e13) != e20
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| $false
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(e22,h3(e10)) != h3(op1(e11,e10))
| $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)],[20344,340,theory(equality)]) ).
cnf(20346,plain,
( epred45_0
| $false
| h3(e12) != e21
| h3(e13) != e20
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| $false
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(e22,h3(e10)) != h3(op1(e11,e10))
| $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),e22) != 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)],[20345,340,theory(equality)]) ).
cnf(20347,plain,
( epred45_0
| $false
| h3(e12) != e21
| h3(e13) != e20
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| $false
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(e22,h3(e10)) != h3(op1(e11,e10))
| $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),e22) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| h3(e12) != 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)],[20346,5258,theory(equality)]) ).
cnf(20348,plain,
( epred45_0
| $false
| h3(e12) != e21
| h3(e13) != e20
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| $false
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(e22,h3(e10)) != h3(op1(e11,e10))
| $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),e22) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| $false
| 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)],[20347,3456,theory(equality)]) ).
cnf(20349,plain,
( epred45_0
| $false
| h3(e12) != e21
| h3(e13) != e20
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| $false
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(e22,h3(e10)) != h3(op1(e11,e10))
| $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),e22) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| $false
| 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)],[20348,340,theory(equality)]) ).
cnf(20350,plain,
( epred45_0
| h3(e12) != e21
| h3(e13) != e20
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(e22,h3(e10)) != h3(op1(e11,e10))
| 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),e22) != 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),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)],[20349,theory(equality)]) ).
cnf(21353,plain,
( h1(e10) = e21
| h1(e10) = e20 ),
inference(sr,[status(thm)],[14644,3491,theory(equality)]) ).
cnf(21357,plain,
( h4(e10) = e23
| h4(e10) = e21
| h4(e10) = e20 ),
inference(sr,[status(thm)],[9537,3494,theory(equality)]) ).
cnf(21358,plain,
( op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(sr,[status(thm)],[14113,3494,theory(equality)]) ).
cnf(21361,plain,
( op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(sr,[status(thm)],[119,3458,theory(equality)]) ).
cnf(21369,plain,
op1(e12,e11) = e12,
inference(sr,[status(thm)],[7931,3459,theory(equality)]) ).
cnf(21378,plain,
( op1(e11,e10) = e11
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[7796,3460,theory(equality)]) ).
cnf(21384,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e11 ),
inference(sr,[status(thm)],[8309,3461,theory(equality)]) ).
cnf(21385,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12 ),
inference(sr,[status(thm)],[8358,3461,theory(equality)]) ).
cnf(21399,plain,
( op2(e21,e20) = e21
| h1(e10) = e20 ),
inference(sr,[status(thm)],[14576,3489,theory(equality)]) ).
cnf(21404,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e21 ),
inference(sr,[status(thm)],[14892,3490,theory(equality)]) ).
cnf(21405,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22 ),
inference(sr,[status(thm)],[14935,3490,theory(equality)]) ).
cnf(21421,plain,
( op2(e21,e22) = e22
| op2(e20,e22) = e22
| h3(e10) = e22 ),
inference(sr,[status(thm)],[14845,3492,theory(equality)]) ).
cnf(21428,plain,
( op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(sr,[status(thm)],[143,3358,theory(equality)]) ).
cnf(21429,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(sr,[status(thm)],[21428,3493,theory(equality)]) ).
cnf(21430,plain,
op2(e23,e21) = e21,
inference(sr,[status(thm)],[21429,3360,theory(equality)]) ).
cnf(21431,plain,
op2(e22,e21) = e22,
inference(sr,[status(thm)],[14766,3493,theory(equality)]) ).
cnf(21433,plain,
e12 != op1(e12,e13),
inference(rw,[status(thm)],[266,21369,theory(equality)]) ).
cnf(21434,plain,
e12 != op1(e12,e12),
inference(rw,[status(thm)],[267,21369,theory(equality)]) ).
cnf(21466,plain,
( epred45_0
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),h3(e12)) != 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(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e11,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| h3(e12) != op2(h3(e12),e22)
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[20350,21369,theory(equality)]) ).
cnf(21505,plain,
( op1(e13,e11) = e11
| e12 = e11 ),
inference(rw,[status(thm)],[7901,21369,theory(equality)]) ).
cnf(21506,plain,
op1(e13,e11) = e11,
inference(sr,[status(thm)],[21505,223,theory(equality)]) ).
cnf(21534,plain,
e11 != op1(e13,e13),
inference(rw,[status(thm)],[260,21506,theory(equality)]) ).
cnf(21552,plain,
( epred1_0
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[349,21506,theory(equality)]),21506,theory(equality)]) ).
cnf(21553,plain,
epred1_0,
inference(cn,[status(thm)],[21552,theory(equality)]) ).
cnf(21634,plain,
( op1(e10,op1(e10,e10)) != e10
| op1(e11,op1(e11,e12)) != e12
| op1(e12,op1(e12,e13)) != e13
| $false ),
inference(rw,[status(thm)],[443,21553,theory(equality)]) ).
cnf(21635,plain,
( op1(e10,op1(e10,e10)) != e10
| op1(e11,op1(e11,e12)) != e12
| op1(e12,op1(e12,e13)) != e13 ),
inference(cn,[status(thm)],[21634,theory(equality)]) ).
cnf(21689,plain,
( op1(e13,e13) = e13
| op1(e11,e13) = e11
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[351,21433,theory(equality)]) ).
cnf(21705,plain,
e21 != h4(e10),
inference(rw,[status(thm)],[3262,21430,theory(equality)]) ).
cnf(21710,plain,
( op2(e23,e22) = e20
| e21 = e20
| h4(e10) = e20 ),
inference(rw,[status(thm)],[14303,21430,theory(equality)]) ).
cnf(21711,plain,
( op2(e23,e22) = e20
| h4(e10) = e20 ),
inference(sr,[status(thm)],[21710,312,theory(equality)]) ).
cnf(21736,plain,
( epred22_0
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[359,21430,theory(equality)]),21430,theory(equality)]) ).
cnf(21737,plain,
epred22_0,
inference(cn,[status(thm)],[21736,theory(equality)]) ).
cnf(21843,plain,
( op2(e21,op2(e21,e22)) != e22
| op2(e22,op2(e22,e23)) != e23
| op2(e20,h1(e10)) != e20
| $false ),
inference(rw,[status(thm)],[15713,21737,theory(equality)]) ).
cnf(21844,plain,
( op2(e21,op2(e21,e22)) != e22
| op2(e22,op2(e22,e23)) != e23
| op2(e20,h1(e10)) != e20 ),
inference(cn,[status(thm)],[21843,theory(equality)]) ).
cnf(21882,plain,
( op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 ),
inference(sr,[status(thm)],[14088,21705,theory(equality)]) ).
cnf(21898,plain,
e22 != h3(e10),
inference(rw,[status(thm)],[3431,21431,theory(equality)]) ).
cnf(21902,plain,
e22 != op2(e22,e23),
inference(rw,[status(thm)],[180,21431,theory(equality)]) ).
cnf(21946,plain,
( op2(e23,e22) = e23
| op2(e21,e22) = e21
| op2(e20,e22) = e20 ),
inference(sr,[status(thm)],[14611,21898,theory(equality)]) ).
cnf(21956,plain,
( op1(e13,e12) = e13
| op1(e11,e12) = e11
| op1(e10,e12) = e10 ),
inference(sr,[status(thm)],[352,21434,theory(equality)]) ).
cnf(21959,plain,
( h4(e10) = e23
| h4(e10) = e20 ),
inference(sr,[status(thm)],[21357,21705,theory(equality)]) ).
cnf(21961,plain,
( op2(e20,e23) = h4(e13)
| h4(e10) = e23 ),
inference(spm,[status(thm)],[3144,21959,theory(equality)]) ).
cnf(21991,plain,
( op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 ),
inference(sr,[status(thm)],[113,21534,theory(equality)]) ).
cnf(21995,plain,
( op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(sr,[status(thm)],[21361,21434,theory(equality)]) ).
cnf(22043,plain,
( op1(e12,e10) = e13
| e11 = e13
| op1(e10,e10) = e10 ),
inference(spm,[status(thm)],[7845,21378,theory(equality)]) ).
cnf(22044,plain,
( op1(e12,e10) = e13
| op1(e10,e10) = e10 ),
inference(sr,[status(thm)],[22043,222,theory(equality)]) ).
cnf(22102,plain,
( op2(e21,e23) = e21
| op2(e20,e23) = e20
| h4(e10) = e23 ),
inference(sr,[status(thm)],[10862,21902,theory(equality)]) ).
cnf(22104,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22 ),
inference(sr,[status(thm)],[21358,21902,theory(equality)]) ).
cnf(22110,plain,
( op1(e11,e10) = e13
| e11 != op1(e12,e10) ),
inference(spm,[status(thm)],[303,21384,theory(equality)]) ).
cnf(22126,plain,
( op1(e11,e13) = e12
| e12 != op1(e10,e12) ),
inference(spm,[status(thm)],[294,21385,theory(equality)]) ).
cnf(22176,plain,
( h1(e10) = e20
| e21 != h1(e10) ),
inference(spm,[status(thm)],[3329,21399,theory(equality)]) ).
cnf(22184,plain,
h1(e10) = e20,
inference(csr,[status(thm)],[22176,21353]) ).
cnf(22193,plain,
op2(e20,e23) != e20,
inference(rw,[status(thm)],[3294,22184,theory(equality)]) ).
cnf(22194,plain,
op2(e20,e22) != e20,
inference(rw,[status(thm)],[3274,22184,theory(equality)]) ).
cnf(22201,plain,
( op2(e22,e20) = e21
| op2(e21,e20) = e21
| e20 = e21 ),
inference(rw,[status(thm)],[14700,22184,theory(equality)]) ).
cnf(22202,plain,
( op2(e22,e20) = e21
| op2(e21,e20) = e21 ),
inference(sr,[status(thm)],[22201,312,theory(equality)]) ).
cnf(22245,plain,
( op2(e22,e23) = e20
| h4(e10) = e20 ),
inference(sr,[status(thm)],[14066,22193,theory(equality)]) ).
cnf(22267,plain,
( op2(e20,e22) = e22
| op2(e20,e22) = e21 ),
inference(sr,[status(thm)],[14779,22194,theory(equality)]) ).
cnf(22268,plain,
( op2(e23,e22) = e20
| h3(e10) = e20 ),
inference(sr,[status(thm)],[14802,22194,theory(equality)]) ).
cnf(22293,plain,
( op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(sr,[status(thm)],[21421,21898,theory(equality)]) ).
cnf(22327,plain,
( e13 = e10
| op1(e10,e10) = e10 ),
inference(spm,[status(thm)],[7776,22044,theory(equality)]) ).
cnf(22329,plain,
op1(e10,e10) = e10,
inference(sr,[status(thm)],[22327,224,theory(equality)]) ).
cnf(22333,plain,
e10 != op1(e10,e13),
inference(rw,[status(thm)],[280,22329,theory(equality)]) ).
cnf(22334,plain,
op1(e10,e12) != e10,
inference(rw,[status(thm)],[281,22329,theory(equality)]) ).
cnf(22341,plain,
( op1(e12,e10) = e11
| op1(e11,e10) = e11
| e10 = e11 ),
inference(rw,[status(thm)],[7820,22329,theory(equality)]) ).
cnf(22342,plain,
( op1(e12,e10) = e11
| op1(e11,e10) = e11 ),
inference(sr,[status(thm)],[22341,226,theory(equality)]) ).
cnf(22369,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10 ),
inference(sr,[status(thm)],[8157,22333,theory(equality)]) ).
cnf(22372,plain,
( op1(e13,e12) = e10
| op1(e12,e12) = e10 ),
inference(sr,[status(thm)],[7982,22334,theory(equality)]) ).
cnf(22537,plain,
( op2(e22,e20) = e21
| e21 != op2(e21,e23) ),
inference(spm,[status(thm)],[188,22202,theory(equality)]) ).
cnf(22611,plain,
( op1(e12,e10) = e11
| e11 != op1(e11,e13) ),
inference(spm,[status(thm)],[274,22342,theory(equality)]) ).
cnf(22850,plain,
( epred45_0
| op2(h3(e10),h3(e10)) != h3(e10)
| op2(h3(e10),h3(e12)) != 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(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e11,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| op2(h3(e12),e22) != h3(e12)
| h3(op1(e13,e11)) != op2(h3(e13),e22)
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[21466,22329,theory(equality)]) ).
cnf(22851,plain,
( epred45_0
| op2(h3(e10),h3(e10)) != h3(e10)
| op2(h3(e10),h3(e12)) != 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(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e11,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| op2(h3(e12),e22) != h3(e12)
| e22 != op2(h3(e13),e22)
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22850,21506,theory(equality)]),340,theory(equality)]) ).
cnf(23003,plain,
( op2(e21,e23) = e21
| h4(e10) = e23 ),
inference(sr,[status(thm)],[22102,22193,theory(equality)]) ).
cnf(23008,plain,
( op2(e22,e23) = e23
| e21 = e23
| h4(e10) = e23 ),
inference(spm,[status(thm)],[9508,23003,theory(equality)]) ).
cnf(23009,plain,
( e21 = e22
| op2(e20,e23) = e22
| h4(e10) = e23 ),
inference(spm,[status(thm)],[22104,23003,theory(equality)]) ).
cnf(23010,plain,
( op2(e22,e23) = e23
| h4(e10) = e23 ),
inference(sr,[status(thm)],[23008,308,theory(equality)]) ).
cnf(23011,plain,
( op2(e20,e23) = e22
| h4(e10) = e23 ),
inference(sr,[status(thm)],[23009,309,theory(equality)]) ).
cnf(23039,plain,
( op1(e13,e13) = e13
| op1(e11,e13) = e11 ),
inference(sr,[status(thm)],[21689,22333,theory(equality)]) ).
cnf(23044,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| e11 = e13 ),
inference(spm,[status(thm)],[8282,23039,theory(equality)]) ).
cnf(23048,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13 ),
inference(sr,[status(thm)],[23044,222,theory(equality)]) ).
cnf(23152,plain,
( op2(e23,e22) = e23
| op2(e21,e22) = e21 ),
inference(sr,[status(thm)],[21946,22194,theory(equality)]) ).
cnf(23163,plain,
( op2(e23,e22) = e23
| e21 = e23
| h3(e10) = e23 ),
inference(spm,[status(thm)],[13998,23152,theory(equality)]) ).
cnf(23164,plain,
( op2(e21,e23) = e23
| e21 = e23
| op2(e21,e20) = e23
| op2(e23,e22) = e23 ),
inference(spm,[status(thm)],[14161,23152,theory(equality)]) ).
cnf(23177,plain,
( op2(e23,e22) = e23
| h3(e10) = e23 ),
inference(sr,[status(thm)],[23163,308,theory(equality)]) ).
cnf(23178,plain,
( op2(e21,e23) = e23
| op2(e21,e20) = e23
| op2(e23,e22) = e23 ),
inference(sr,[status(thm)],[23164,308,theory(equality)]) ).
cnf(23200,plain,
( h3(e10) = e23
| e23 != h4(e10) ),
inference(spm,[status(thm)],[3264,23177,theory(equality)]) ).
cnf(23204,plain,
( e23 = e20
| h4(e10) = e20
| h3(e10) = e23 ),
inference(spm,[status(thm)],[21711,23177,theory(equality)]) ).
cnf(23205,plain,
( e23 = e20
| h3(e10) = e20
| h3(e10) = e23 ),
inference(spm,[status(thm)],[22268,23177,theory(equality)]) ).
cnf(23206,plain,
( h4(e10) = e20
| h3(e10) = e23 ),
inference(sr,[status(thm)],[23204,310,theory(equality)]) ).
cnf(23207,plain,
( h3(e10) = e20
| h3(e10) = e23 ),
inference(sr,[status(thm)],[23205,310,theory(equality)]) ).
cnf(23208,plain,
( op2(e20,e23) = h4(e13)
| h3(e10) = e23 ),
inference(spm,[status(thm)],[3144,23206,theory(equality)]) ).
cnf(23251,plain,
( op1(e13,e12) = e13
| op1(e11,e12) = e11 ),
inference(sr,[status(thm)],[21956,22334,theory(equality)]) ).
cnf(23253,plain,
( op1(e13,e12) = e13
| e11 != op1(e11,e10) ),
inference(spm,[status(thm)],[275,23251,theory(equality)]) ).
cnf(23262,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| e11 = e13 ),
inference(spm,[status(thm)],[8087,23251,theory(equality)]) ).
cnf(23277,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13 ),
inference(sr,[status(thm)],[23262,222,theory(equality)]) ).
cnf(23302,plain,
( op2(e20,e22) = h3(e13)
| h3(e10) = e23 ),
inference(spm,[status(thm)],[3213,23207,theory(equality)]) ).
cnf(23303,plain,
( op2(h3(e13),e20) = h3(e12)
| h3(e10) = e23 ),
inference(spm,[status(thm)],[5258,23207,theory(equality)]) ).
cnf(24631,plain,
( e12 = e11
| op1(e13,e13) = e13
| op1(e10,e12) != e12 ),
inference(spm,[status(thm)],[23039,22126,theory(equality)]) ).
cnf(24645,plain,
( op1(e13,e13) = e13
| op1(e10,e12) != e12 ),
inference(sr,[status(thm)],[24631,223,theory(equality)]) ).
cnf(24697,plain,
( op1(e12,e10) = e11
| op1(e13,e13) = e13 ),
inference(spm,[status(thm)],[22611,23039,theory(equality)]) ).
cnf(24855,plain,
( $false
| op1(e11,op1(e11,e12)) != e12
| op1(e12,op1(e12,e13)) != e13 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21635,22329,theory(equality)]),22329,theory(equality)]) ).
cnf(24856,plain,
( op1(e11,op1(e11,e12)) != e12
| op1(e12,op1(e12,e13)) != e13 ),
inference(cn,[status(thm)],[24855,theory(equality)]) ).
cnf(24864,plain,
( op1(e10,e12) = e12
| op1(e11,e12) != e12
| op1(e12,op1(e12,e13)) != e13 ),
inference(spm,[status(thm)],[24856,21995,theory(equality)]) ).
cnf(25124,plain,
( op1(e13,e12) = e13
| op1(e11,e10) = e13 ),
inference(spm,[status(thm)],[23253,21384,theory(equality)]) ).
cnf(25631,plain,
( op2(e21,op2(e21,e22)) != e22
| op2(e22,op2(e22,e23)) != e23
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21844,22184,theory(equality)]),331,theory(equality)]),22184,theory(equality)]) ).
cnf(25632,plain,
( op2(e21,op2(e21,e22)) != e22
| op2(e22,op2(e22,e23)) != e23 ),
inference(cn,[status(thm)],[25631,theory(equality)]) ).
cnf(25640,plain,
( op2(e21,e23) = e22
| op2(e21,e22) != e22
| op2(e22,op2(e22,e23)) != e23 ),
inference(spm,[status(thm)],[25632,21405,theory(equality)]) ).
cnf(26333,plain,
( h4(e13) = e22
| h4(e10) = e23 ),
inference(spm,[status(thm)],[23011,21961,theory(equality)]) ).
cnf(26484,plain,
( h3(e10) = e23
| e23 = e20
| h4(e13) = e22 ),
inference(spm,[status(thm)],[23206,26333,theory(equality)]) ).
cnf(26504,plain,
( h3(e10) = e23
| h4(e13) = e22 ),
inference(sr,[status(thm)],[26484,310,theory(equality)]) ).
cnf(26777,plain,
( op1(e11,e13) = e13
| op1(e11,e10) = e13 ),
inference(csr,[status(thm)],[8412,25124]) ).
cnf(26782,plain,
( e13 = e11
| op1(e12,e10) = e11
| op1(e11,e13) = e13 ),
inference(spm,[status(thm)],[22342,26777,theory(equality)]) ).
cnf(26791,plain,
( op1(e12,e10) = e11
| op1(e11,e13) = e13 ),
inference(sr,[status(thm)],[26782,222,theory(equality)]) ).
cnf(27115,plain,
( op1(e12,e10) = e11
| e13 != op1(e13,e13) ),
inference(spm,[status(thm)],[284,26791,theory(equality)]) ).
cnf(27913,plain,
op1(e12,e10) = e11,
inference(csr,[status(thm)],[27115,24697]) ).
cnf(27916,plain,
e11 != op1(e12,e13),
inference(rw,[status(thm)],[268,27913,theory(equality)]) ).
cnf(27950,plain,
( op1(e11,e10) = e13
| $false ),
inference(rw,[status(thm)],[22110,27913,theory(equality)]) ).
cnf(27951,plain,
op1(e11,e10) = e13,
inference(cn,[status(thm)],[27950,theory(equality)]) ).
cnf(27960,plain,
( epred45_0
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e12),h3(e10)) != e22
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(op1(e11,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| op2(h3(e10),h3(e10)) != h3(e10)
| op2(h3(e12),e22) != h3(e12)
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[22851,27913,theory(equality)]),340,theory(equality)]) ).
cnf(27979,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| e11 = e13 ),
inference(rw,[status(thm)],[8623,27913,theory(equality)]) ).
cnf(27980,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13 ),
inference(sr,[status(thm)],[27979,222,theory(equality)]) ).
cnf(27991,plain,
( op1(e10,e13) = e11
| op1(e11,e13) = e11 ),
inference(sr,[status(thm)],[21991,27916,theory(equality)]) ).
cnf(28154,plain,
( e13 = e10
| op1(e13,e12) = e10
| op1(e12,e13) = e13 ),
inference(spm,[status(thm)],[22372,27980,theory(equality)]) ).
cnf(28161,plain,
( op1(e13,e12) = e10
| op1(e12,e13) = e13 ),
inference(sr,[status(thm)],[28154,224,theory(equality)]) ).
cnf(28415,plain,
( epred45_0
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e12),h3(e10)) != e22
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| h3(e13) != op2(e22,h3(e10))
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| op2(h3(e10),h3(e10)) != h3(e10)
| op2(h3(e12),e22) != h3(e12)
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[27960,27951,theory(equality)]) ).
cnf(29849,plain,
( op2(e22,e20) = e21
| h4(e10) = e23 ),
inference(spm,[status(thm)],[22537,23003,theory(equality)]) ).
cnf(30437,plain,
( op2(e21,e23) = e23
| op2(e21,e20) = e23 ),
inference(csr,[status(thm)],[23178,14163]) ).
cnf(30442,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e21,e23) = e23 ),
inference(spm,[status(thm)],[22202,30437,theory(equality)]) ).
cnf(30453,plain,
( op2(e22,e20) = e21
| op2(e21,e23) = e23 ),
inference(sr,[status(thm)],[30442,308,theory(equality)]) ).
cnf(30543,plain,
( h3(e10) = e23
| h3(e13) != op2(e20,e23) ),
inference(spm,[status(thm)],[191,23302,theory(equality)]) ).
cnf(30549,plain,
( h3(e13) = e21
| h3(e13) = e22
| h3(e10) = e23 ),
inference(spm,[status(thm)],[22267,23302,theory(equality)]) ).
cnf(30957,plain,
( h3(e10) = e23
| h4(e13) != h3(e13) ),
inference(spm,[status(thm)],[30543,23208,theory(equality)]) ).
cnf(30963,plain,
( h3(e10) = e23
| e22 != h3(e13) ),
inference(spm,[status(thm)],[30957,26504,theory(equality)]) ).
cnf(30970,plain,
( op2(e23,e22) = h3(e13)
| h3(e13) != e22 ),
inference(spm,[status(thm)],[3213,30963,theory(equality)]) ).
cnf(31553,plain,
( op1(e10,e12) = e12
| op1(e12,op1(e12,e13)) != e13 ),
inference(csr,[status(thm)],[24864,21995]) ).
cnf(31556,plain,
( op1(e10,e12) = e12
| op1(e13,e13) = e13
| op1(e12,e13) != e13 ),
inference(spm,[status(thm)],[31553,23048,theory(equality)]) ).
cnf(33446,plain,
( op2(e21,e23) = e22
| op2(e22,op2(e22,e23)) != e23 ),
inference(csr,[status(thm)],[25640,21405]) ).
cnf(33450,plain,
( op2(e21,e23) = e22
| h4(e10) = e23
| op2(e22,e23) != e23 ),
inference(spm,[status(thm)],[33446,23010,theory(equality)]) ).
cnf(36776,plain,
h3(e13) != e22,
inference(spm,[status(thm)],[3492,30970,theory(equality)]) ).
cnf(36808,plain,
( h3(e10) = e23
| h3(e13) = e21 ),
inference(sr,[status(thm)],[30549,36776,theory(equality)]) ).
cnf(36814,negated_conjecture,
( h3(e13) = e21
| ~ epred45_0 ),
inference(spm,[status(thm)],[380,36808,theory(equality)]) ).
cnf(36871,negated_conjecture,
( op2(e21,e20) = h3(e12)
| h3(e10) = e23
| ~ epred45_0 ),
inference(spm,[status(thm)],[23303,36814,theory(equality)]) ).
cnf(38924,plain,
( op2(e22,e20) = e21
| e23 != h4(e10) ),
inference(spm,[status(thm)],[3244,30453,theory(equality)]) ).
cnf(39148,plain,
op2(e22,e20) = e21,
inference(csr,[status(thm)],[38924,29849]) ).
cnf(39152,plain,
op2(e21,e20) != e21,
inference(rw,[status(thm)],[217,39148,theory(equality)]) ).
cnf(39153,plain,
e21 != op2(e22,e23),
inference(rw,[status(thm)],[182,39148,theory(equality)]) ).
cnf(39234,plain,
op2(e21,e20) = e23,
inference(sr,[status(thm)],[21404,39152,theory(equality)]) ).
cnf(39245,plain,
( op2(e20,e23) = e21
| op2(e21,e23) = e21 ),
inference(sr,[status(thm)],[21882,39153,theory(equality)]) ).
cnf(40855,negated_conjecture,
( e23 = h3(e12)
| h3(e10) = e23
| ~ epred45_0 ),
inference(rw,[status(thm)],[36871,39234,theory(equality)]) ).
cnf(40856,negated_conjecture,
( h3(e12) = e23
| ~ epred45_0 ),
inference(csr,[status(thm)],[40855,380]) ).
cnf(40857,negated_conjecture,
~ epred45_0,
inference(csr,[status(thm)],[40856,378]) ).
cnf(44178,plain,
( op1(e10,e12) = e12
| op1(e13,e13) = e13 ),
inference(csr,[status(thm)],[31556,23048]) ).
cnf(44179,plain,
op1(e13,e13) = e13,
inference(csr,[status(thm)],[44178,24645]) ).
cnf(44182,plain,
op1(e13,e12) != e13,
inference(rw,[status(thm)],[259,44179,theory(equality)]) ).
cnf(44183,plain,
op1(e12,e13) != e13,
inference(rw,[status(thm)],[283,44179,theory(equality)]) ).
cnf(44208,plain,
( epred45_0
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(e13)
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| op2(h3(e10),h3(e10)) != h3(e10)
| op2(h3(e12),h3(e10)) != e22
| op2(e22,h3(e10)) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[28415,44179,theory(equality)]) ).
cnf(44209,plain,
( op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(e13)
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| op2(h3(e10),h3(e10)) != h3(e10)
| op2(h3(e12),h3(e10)) != e22
| op2(e22,h3(e10)) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(sr,[status(thm)],[44208,40857,theory(equality)]) ).
cnf(44240,plain,
( op1(e12,e13) = e10
| e13 = e10 ),
inference(rw,[status(thm)],[22369,44179,theory(equality)]) ).
cnf(44241,plain,
op1(e12,e13) = e10,
inference(sr,[status(thm)],[44240,224,theory(equality)]) ).
cnf(44253,plain,
op1(e11,e12) = e11,
inference(sr,[status(thm)],[23251,44182,theory(equality)]) ).
cnf(44254,plain,
op1(e12,e12) = e13,
inference(sr,[status(thm)],[23277,44182,theory(equality)]) ).
cnf(44263,plain,
op1(e13,e12) = e10,
inference(sr,[status(thm)],[28161,44183,theory(equality)]) ).
cnf(44377,plain,
( e11 = e12
| op1(e11,e13) = e12 ),
inference(rw,[status(thm)],[21385,44253,theory(equality)]) ).
cnf(44378,plain,
op1(e11,e13) = e12,
inference(sr,[status(thm)],[44377,223,theory(equality)]) ).
cnf(44379,plain,
( op1(e10,e12) = e12
| e11 = e12 ),
inference(rw,[status(thm)],[21995,44253,theory(equality)]) ).
cnf(44380,plain,
op1(e10,e12) = e12,
inference(sr,[status(thm)],[44379,223,theory(equality)]) ).
cnf(44402,plain,
( e12 = e11
| op1(e10,e13) = e11 ),
inference(rw,[status(thm)],[27991,44378,theory(equality)]) ).
cnf(44403,plain,
op1(e10,e13) = e11,
inference(sr,[status(thm)],[44402,223,theory(equality)]) ).
cnf(44946,plain,
( op2(h3(e10),h3(e12)) != h3(e12)
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(e13)
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| op2(h3(e10),h3(e10)) != h3(e10)
| op2(h3(e12),h3(e10)) != e22
| op2(e22,h3(e10)) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[44209,44380,theory(equality)]) ).
cnf(44947,plain,
( op2(h3(e10),h3(e12)) != h3(e12)
| op2(h3(e10),h3(e13)) != e22
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(e13)
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| op2(h3(e10),h3(e10)) != h3(e10)
| op2(h3(e12),h3(e10)) != e22
| op2(e22,h3(e10)) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[44946,44403,theory(equality)]),340,theory(equality)]) ).
cnf(44948,plain,
( op2(h3(e10),h3(e12)) != h3(e12)
| op2(h3(e10),h3(e13)) != e22
| op2(h3(e12),h3(e12)) != h3(e13)
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(e13)
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| op2(h3(e10),h3(e10)) != h3(e10)
| op2(h3(e12),h3(e10)) != e22
| op2(e22,h3(e10)) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[44947,44254,theory(equality)]) ).
cnf(44949,plain,
( op2(h3(e10),h3(e12)) != h3(e12)
| op2(h3(e10),h3(e13)) != e22
| op2(h3(e12),h3(e12)) != h3(e13)
| op2(h3(e12),h3(e13)) != h3(e10)
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(e13)
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| op2(h3(e10),h3(e10)) != h3(e10)
| op2(h3(e12),h3(e10)) != e22
| op2(e22,h3(e10)) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[44948,44241,theory(equality)]) ).
cnf(44950,plain,
( op2(h3(e10),h3(e12)) != h3(e12)
| op2(h3(e10),h3(e13)) != e22
| op2(h3(e12),h3(e12)) != h3(e13)
| op2(h3(e12),h3(e13)) != h3(e10)
| op2(h3(e13),h3(e12)) != h3(e10)
| op2(h3(e13),h3(e13)) != h3(e13)
| h3(op1(e11,e12)) != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| op2(h3(e10),h3(e10)) != h3(e10)
| op2(h3(e12),h3(e10)) != e22
| op2(e22,h3(e10)) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[44949,44263,theory(equality)]) ).
cnf(44951,plain,
( op2(h3(e10),h3(e12)) != h3(e12)
| op2(h3(e10),h3(e13)) != e22
| op2(h3(e12),h3(e12)) != h3(e13)
| op2(h3(e12),h3(e13)) != h3(e10)
| op2(h3(e13),h3(e12)) != h3(e10)
| op2(h3(e13),h3(e13)) != h3(e13)
| e22 != op2(e22,h3(e12))
| h3(op1(e11,e13)) != op2(e22,h3(e13))
| op2(h3(e10),h3(e10)) != h3(e10)
| op2(h3(e12),h3(e10)) != e22
| op2(e22,h3(e10)) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[44950,44253,theory(equality)]),340,theory(equality)]) ).
cnf(44952,plain,
( op2(h3(e10),h3(e12)) != h3(e12)
| op2(h3(e10),h3(e13)) != e22
| op2(h3(e12),h3(e12)) != h3(e13)
| op2(h3(e12),h3(e13)) != h3(e10)
| op2(h3(e13),h3(e12)) != h3(e10)
| op2(h3(e13),h3(e13)) != h3(e13)
| e22 != op2(e22,h3(e12))
| h3(e12) != op2(e22,h3(e13))
| op2(h3(e10),h3(e10)) != h3(e10)
| op2(h3(e12),h3(e10)) != e22
| op2(e22,h3(e10)) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[44951,44378,theory(equality)]) ).
cnf(46439,plain,
( op2(e21,e23) = e22
| h4(e10) = e23 ),
inference(csr,[status(thm)],[33450,23010]) ).
cnf(46446,plain,
( e22 = e21
| h4(e10) = e23 ),
inference(spm,[status(thm)],[23003,46439,theory(equality)]) ).
cnf(46464,plain,
h4(e10) = e23,
inference(sr,[status(thm)],[46446,309,theory(equality)]) ).
cnf(46477,plain,
op2(e23,e22) != e23,
inference(rw,[status(thm)],[3264,46464,theory(equality)]) ).
cnf(46612,plain,
( h3(e10) = e23
| $false ),
inference(rw,[status(thm)],[23200,46464,theory(equality)]) ).
cnf(46613,plain,
h3(e10) = e23,
inference(cn,[status(thm)],[46612,theory(equality)]) ).
cnf(46625,plain,
( op2(e22,e23) = e20
| e23 = e20 ),
inference(rw,[status(thm)],[22245,46464,theory(equality)]) ).
cnf(46626,plain,
op2(e22,e23) = e20,
inference(sr,[status(thm)],[46625,310,theory(equality)]) ).
cnf(46632,plain,
( op2(e23,e22) = e20
| e23 = e20 ),
inference(rw,[status(thm)],[21711,46464,theory(equality)]) ).
cnf(46633,plain,
op2(e23,e22) = e20,
inference(sr,[status(thm)],[46632,310,theory(equality)]) ).
cnf(46645,plain,
op2(h3(e13),e23) = h3(e12),
inference(rw,[status(thm)],[5258,46613,theory(equality)]) ).
cnf(46646,plain,
op2(e23,e22) = h3(e13),
inference(rw,[status(thm)],[3213,46613,theory(equality)]) ).
cnf(46683,plain,
( op2(e23,h3(e12)) != h3(e12)
| op2(h3(e12),h3(e12)) != h3(e13)
| op2(h3(e12),h3(e13)) != h3(e10)
| op2(h3(e13),h3(e12)) != h3(e10)
| op2(h3(e13),h3(e13)) != h3(e13)
| op2(h3(e10),h3(e10)) != h3(e10)
| op2(h3(e10),h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),h3(e10)) != e22
| op2(e22,h3(e10)) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[44952,46613,theory(equality)]) ).
cnf(46684,plain,
( op2(e23,h3(e12)) != h3(e12)
| op2(h3(e12),h3(e12)) != h3(e13)
| op2(h3(e12),h3(e13)) != e23
| op2(h3(e13),h3(e12)) != h3(e10)
| op2(h3(e13),h3(e13)) != h3(e13)
| op2(h3(e10),h3(e10)) != h3(e10)
| op2(h3(e10),h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),h3(e10)) != e22
| op2(e22,h3(e10)) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[46683,46613,theory(equality)]) ).
cnf(46685,plain,
( op2(e23,h3(e12)) != h3(e12)
| op2(h3(e12),h3(e12)) != h3(e13)
| op2(h3(e12),h3(e13)) != e23
| op2(h3(e13),h3(e12)) != e23
| op2(h3(e13),h3(e13)) != h3(e13)
| op2(h3(e10),h3(e10)) != h3(e10)
| op2(h3(e10),h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),h3(e10)) != e22
| op2(e22,h3(e10)) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[46684,46613,theory(equality)]) ).
cnf(46686,plain,
( op2(e23,h3(e12)) != h3(e12)
| op2(h3(e12),h3(e12)) != h3(e13)
| op2(h3(e12),h3(e13)) != e23
| op2(h3(e13),h3(e12)) != e23
| op2(h3(e13),h3(e13)) != h3(e13)
| e23 != h3(e10)
| op2(h3(e10),h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),h3(e10)) != e22
| op2(e22,h3(e10)) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[46685,46613,theory(equality)]),46613,theory(equality)]),343,theory(equality)]),46464,theory(equality)]) ).
cnf(46687,plain,
( op2(e23,h3(e12)) != h3(e12)
| op2(h3(e12),h3(e12)) != h3(e13)
| op2(h3(e12),h3(e13)) != e23
| op2(h3(e13),h3(e12)) != e23
| op2(h3(e13),h3(e13)) != h3(e13)
| $false
| op2(h3(e10),h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),h3(e10)) != e22
| op2(e22,h3(e10)) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[46686,46613,theory(equality)]) ).
cnf(46688,plain,
( op2(e23,h3(e12)) != h3(e12)
| op2(h3(e12),h3(e12)) != h3(e13)
| op2(h3(e12),h3(e13)) != e23
| op2(h3(e13),h3(e12)) != e23
| op2(h3(e13),h3(e13)) != h3(e13)
| $false
| op2(e23,h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),h3(e10)) != e22
| op2(e22,h3(e10)) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[46687,46613,theory(equality)]) ).
cnf(46689,plain,
( op2(e23,h3(e12)) != h3(e12)
| op2(h3(e12),h3(e12)) != h3(e13)
| op2(h3(e12),h3(e13)) != e23
| op2(h3(e13),h3(e12)) != e23
| op2(h3(e13),h3(e13)) != h3(e13)
| $false
| op2(e23,h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),e23) != e22
| op2(e22,h3(e10)) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[46688,46613,theory(equality)]) ).
cnf(46690,plain,
( op2(e23,h3(e12)) != h3(e12)
| op2(h3(e12),h3(e12)) != h3(e13)
| op2(h3(e12),h3(e13)) != e23
| op2(h3(e13),h3(e12)) != e23
| op2(h3(e13),h3(e13)) != h3(e13)
| $false
| op2(e23,h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),e23) != e22
| op2(e22,e23) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[46689,46613,theory(equality)]) ).
cnf(46691,plain,
( op2(e23,h3(e12)) != h3(e12)
| op2(h3(e12),h3(e12)) != h3(e13)
| op2(h3(e12),h3(e13)) != e23
| op2(h3(e13),h3(e12)) != e23
| op2(h3(e13),h3(e13)) != h3(e13)
| op2(e23,h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),e23) != e22
| op2(e22,e23) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(cn,[status(thm)],[46690,theory(equality)]) ).
cnf(47034,plain,
op2(e21,e22) = e21,
inference(sr,[status(thm)],[23152,46477,theory(equality)]) ).
cnf(47335,plain,
( op2(e20,e22) = e22
| e21 = e22 ),
inference(rw,[status(thm)],[22293,47034,theory(equality)]) ).
cnf(47336,plain,
op2(e20,e22) = e22,
inference(sr,[status(thm)],[47335,309,theory(equality)]) ).
cnf(47337,plain,
( e21 = e22
| op2(e21,e23) = e22 ),
inference(rw,[status(thm)],[21405,47034,theory(equality)]) ).
cnf(47338,plain,
op2(e21,e23) = e22,
inference(sr,[status(thm)],[47337,309,theory(equality)]) ).
cnf(47352,plain,
( e22 = e21
| op2(e20,e23) = e21 ),
inference(rw,[status(thm)],[39245,47338,theory(equality)]) ).
cnf(47353,plain,
op2(e20,e23) = e21,
inference(sr,[status(thm)],[47352,309,theory(equality)]) ).
cnf(47453,plain,
e20 = h3(e13),
inference(rw,[status(thm)],[46646,46633,theory(equality)]) ).
cnf(47454,plain,
op2(e20,e23) = h3(e12),
inference(rw,[status(thm)],[46645,47453,theory(equality)]) ).
cnf(47455,plain,
e21 = h3(e12),
inference(rw,[status(thm)],[47454,47353,theory(equality)]) ).
cnf(47567,plain,
( e21 != h3(e12)
| op2(h3(e12),h3(e12)) != h3(e13)
| op2(h3(e12),h3(e13)) != e23
| op2(h3(e13),h3(e12)) != e23
| op2(h3(e13),h3(e13)) != h3(e13)
| op2(e23,h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),e23) != e22
| op2(e22,e23) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[46691,47455,theory(equality)]),21430,theory(equality)]) ).
cnf(47568,plain,
( $false
| op2(h3(e12),h3(e12)) != h3(e13)
| op2(h3(e12),h3(e13)) != e23
| op2(h3(e13),h3(e12)) != e23
| op2(h3(e13),h3(e13)) != h3(e13)
| op2(e23,h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),e23) != e22
| op2(e22,e23) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[47567,47455,theory(equality)]) ).
cnf(47569,plain,
( $false
| e20 != h3(e13)
| op2(h3(e12),h3(e13)) != e23
| op2(h3(e13),h3(e12)) != e23
| op2(h3(e13),h3(e13)) != h3(e13)
| op2(e23,h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),e23) != e22
| op2(e22,e23) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[47568,47455,theory(equality)]),47455,theory(equality)]),370,theory(equality)]) ).
cnf(47570,plain,
( $false
| $false
| op2(h3(e12),h3(e13)) != e23
| op2(h3(e13),h3(e12)) != e23
| op2(h3(e13),h3(e13)) != h3(e13)
| op2(e23,h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),e23) != e22
| op2(e22,e23) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[47569,47453,theory(equality)]) ).
cnf(47571,plain,
( $false
| $false
| $false
| op2(h3(e13),h3(e12)) != e23
| op2(h3(e13),h3(e13)) != h3(e13)
| op2(e23,h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),e23) != e22
| op2(e22,e23) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[47570,47455,theory(equality)]),47453,theory(equality)]),39234,theory(equality)]) ).
cnf(47572,plain,
( $false
| $false
| $false
| $false
| op2(h3(e13),h3(e13)) != h3(e13)
| op2(e23,h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),e23) != e22
| op2(e22,e23) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[47571,47453,theory(equality)]),47455,theory(equality)]),3186,theory(equality)]) ).
cnf(47573,plain,
( $false
| $false
| $false
| $false
| e20 != h3(e13)
| op2(e23,h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),e23) != e22
| op2(e22,e23) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[47572,47453,theory(equality)]),47453,theory(equality)]),331,theory(equality)]),22184,theory(equality)]) ).
cnf(47574,plain,
( $false
| $false
| $false
| $false
| $false
| op2(e23,h3(e13)) != e22
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),e23) != e22
| op2(e22,e23) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[47573,47453,theory(equality)]) ).
cnf(47575,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| op2(e22,h3(e13)) != h3(e12)
| op2(h3(e12),e23) != e22
| op2(e22,e23) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[47574,47453,theory(equality)]),3488,theory(equality)]) ).
cnf(47576,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| e21 != h3(e12)
| op2(h3(e12),e23) != e22
| op2(e22,e23) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[47575,47453,theory(equality)]),39148,theory(equality)]) ).
cnf(47577,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| op2(h3(e12),e23) != e22
| op2(e22,e23) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[47576,47455,theory(equality)]) ).
cnf(47578,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| op2(e22,e23) != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[47577,47455,theory(equality)]),47338,theory(equality)]) ).
cnf(47579,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| e20 != h3(e13)
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[47578,46626,theory(equality)]) ).
cnf(47580,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| op2(h3(e12),e22) != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[47579,47453,theory(equality)]) ).
cnf(47581,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| e21 != h3(e12)
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[47580,47455,theory(equality)]),47034,theory(equality)]) ).
cnf(47582,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| op2(e22,h3(e12)) != e22
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[47581,47455,theory(equality)]) ).
cnf(47583,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| op2(h3(e13),e22) != e22
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[47582,47455,theory(equality)]),21431,theory(equality)]) ).
cnf(47584,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| h3(e12) != e21
| h3(e13) != e20 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[47583,47453,theory(equality)]),47336,theory(equality)]) ).
cnf(47585,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| h3(e13) != e20 ),
inference(rw,[status(thm)],[47584,47455,theory(equality)]) ).
cnf(47586,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[47585,47453,theory(equality)]) ).
cnf(47587,plain,
$false,
inference(cn,[status(thm)],[47586,theory(equality)]) ).
cnf(47588,plain,
$false,
47587,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG118+1.p
% --creating new selector for []
% -running prover on /tmp/tmpCrGJdT/sel_ALG118+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG118+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG118+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG118+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