TSTP Solution File: ALG111+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG111+1 : TPTP v5.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 03:54:27 EST 2010
% Result : Theorem 0.96s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 21
% Syntax : Number of formulae : 344 ( 127 unt; 0 def)
% Number of atoms : 4095 (3732 equ)
% Maximal formula atoms : 1280 ( 11 avg)
% Number of connectives : 6256 (2505 ~;2953 |; 794 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 7 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 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/tmpqZHE5o/sel_ALG111+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/tmpqZHE5o/sel_ALG111+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/tmpqZHE5o/sel_ALG111+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/tmpqZHE5o/sel_ALG111+1.p_1',ax6) ).
fof(5,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/tmp/tmpqZHE5o/sel_ALG111+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/tmpqZHE5o/sel_ALG111+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/tmpqZHE5o/sel_ALG111+1.p_1',ax5) ).
fof(8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/tmp/tmpqZHE5o/sel_ALG111+1.p_1',ax8) ).
fof(10,axiom,
( h1(e13) = e20
& h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20)) ),
file('/tmp/tmpqZHE5o/sel_ALG111+1.p_1',ax14) ).
fof(11,axiom,
( h2(e13) = e21
& h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)) ),
file('/tmp/tmpqZHE5o/sel_ALG111+1.p_1',ax15) ).
fof(12,axiom,
( h3(e13) = e22
& h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),
file('/tmp/tmpqZHE5o/sel_ALG111+1.p_1',ax16) ).
fof(13,axiom,
( h4(e13) = e23
& h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
file('/tmp/tmpqZHE5o/sel_ALG111+1.p_1',ax17) ).
fof(14,axiom,
( ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e12,e12) != e10 )
& ( op1(e10,e10) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e11) != e10
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e12,e12) != e11 )
& ( op1(e10,e11) != e10
| op1(e13,e13) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e12) != e10
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e12,e12) != e12 )
& ( op1(e10,e12) != e10
| op1(e13,e13) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& ( op1(e10,e13) != e10
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e12,e12) != e13 )
& ( op1(e10,e13) != e10
| op1(e13,e13) != e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) != e11
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e13,e13) != e10 )
& ( op1(e11,e11) != e11
| op1(e10,e10) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e11
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e13,e13) != e11 )
& ( op1(e11,e12) != e11
| op1(e10,e10) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e12) != e11
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e13,e13) != e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e11,e13) != e11
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e13,e13) != e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) != e10 )
& ( op1(e12,e10) != e12
| op1(e11,e11) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e10) != e12
| op1(e13,e13) != e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) != e11 )
& ( op1(e12,e11) != e12
| op1(e11,e11) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e11) != e12
| op1(e13,e13) != e11 )
& ( op1(e12,e12) != e12
| op1(e10,e10) != e12 )
& ( op1(e12,e12) != e12
| op1(e11,e11) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e12
| op1(e13,e13) != e12 )
& ( op1(e12,e13) != e12
| op1(e10,e10) != e13 )
& ( op1(e12,e13) != e12
| op1(e11,e11) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e12,e13) != e12
| op1(e13,e13) != e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) != e10 )
& ( op1(e13,e10) != e13
| op1(e11,e11) != e10 )
& ( op1(e13,e10) != e13
| op1(e12,e12) != e10 )
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) != e11 )
& ( op1(e13,e11) != e13
| op1(e11,e11) != e11 )
& ( op1(e13,e11) != e13
| op1(e12,e12) != e11 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) != e12 )
& ( op1(e13,e12) != e13
| op1(e11,e11) != e12 )
& ( op1(e13,e12) != e13
| op1(e12,e12) != e12 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e10,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e11,e11) != e13 )
& ( op1(e13,e13) != e13
| op1(e12,e12) != e13 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ),
file('/tmp/tmpqZHE5o/sel_ALG111+1.p_1',ax10) ).
fof(15,axiom,
( ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e22,e22) != e20 )
& ( op2(e20,e20) != e20
| op2(e23,e23) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e21) != e20
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e22,e22) != e21 )
& ( op2(e20,e21) != e20
| op2(e23,e23) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e22) != e20
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e22,e22) != e22 )
& ( op2(e20,e22) != e20
| op2(e23,e23) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& ( op2(e20,e23) != e20
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e22,e22) != e23 )
& ( op2(e20,e23) != e20
| op2(e23,e23) != e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) != e21
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e23,e23) != e20 )
& ( op2(e21,e21) != e21
| op2(e20,e20) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e21
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e23,e23) != e21 )
& ( op2(e21,e22) != e21
| op2(e20,e20) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) != e21
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e23,e23) != e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e21,e23) != e21
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e23,e23) != e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) != e20 )
& ( op2(e22,e20) != e22
| op2(e21,e21) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e20) != e22
| op2(e23,e23) != e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) != e21 )
& ( op2(e22,e21) != e22
| op2(e21,e21) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e21) != e22
| op2(e23,e23) != e21 )
& ( op2(e22,e22) != e22
| op2(e20,e20) != e22 )
& ( op2(e22,e22) != e22
| op2(e21,e21) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e22
| op2(e23,e23) != e22 )
& ( op2(e22,e23) != e22
| op2(e20,e20) != e23 )
& ( op2(e22,e23) != e22
| op2(e21,e21) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e22,e23) != e22
| op2(e23,e23) != e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) != e20 )
& ( op2(e23,e20) != e23
| op2(e21,e21) != e20 )
& ( op2(e23,e20) != e23
| op2(e22,e22) != e20 )
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) != e21 )
& ( op2(e23,e21) != e23
| op2(e21,e21) != e21 )
& ( op2(e23,e21) != e23
| op2(e22,e22) != e21 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) != e22 )
& ( op2(e23,e22) != e23
| op2(e21,e21) != e22 )
& ( op2(e23,e22) != e23
| op2(e22,e22) != e22 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e20,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e21,e21) != e23 )
& ( op2(e23,e23) != e23
| op2(e22,e22) != e23 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ),
file('/tmp/tmpqZHE5o/sel_ALG111+1.p_1',ax11) ).
fof(16,axiom,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
file('/tmp/tmpqZHE5o/sel_ALG111+1.p_1',ax12) ).
fof(17,axiom,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
file('/tmp/tmpqZHE5o/sel_ALG111+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/tmpqZHE5o/sel_ALG111+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(e10,e10) != e10
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e12,e12) != e10 )
& ( op1(e10,e10) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e11) != e10
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e12,e12) != e11 )
& ( op1(e10,e11) != e10
| op1(e13,e13) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e12) != e10
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e12,e12) != e12 )
& ( op1(e10,e12) != e10
| op1(e13,e13) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& ( op1(e10,e13) != e10
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e12,e12) != e13 )
& ( op1(e10,e13) != e10
| op1(e13,e13) != e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) != e11
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e13,e13) != e10 )
& ( op1(e11,e11) != e11
| op1(e10,e10) != e11 )
& op1(e11,e11) != e11
& ( op1(e11,e11) != e11
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e13,e13) != e11 )
& ( op1(e11,e12) != e11
| op1(e10,e10) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e12) != e11
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e13,e13) != e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e11,e13) != e11
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e13,e13) != e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) != e10 )
& ( op1(e12,e10) != e12
| op1(e11,e11) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e10) != e12
| op1(e13,e13) != e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) != e11 )
& ( op1(e12,e11) != e12
| op1(e11,e11) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e11) != e12
| op1(e13,e13) != e11 )
& ( op1(e12,e12) != e12
| op1(e10,e10) != e12 )
& ( op1(e12,e12) != e12
| op1(e11,e11) != e12 )
& op1(e12,e12) != e12
& ( op1(e12,e12) != e12
| op1(e13,e13) != e12 )
& ( op1(e12,e13) != e12
| op1(e10,e10) != e13 )
& ( op1(e12,e13) != e12
| op1(e11,e11) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e12,e13) != e12
| op1(e13,e13) != e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) != e10 )
& ( op1(e13,e10) != e13
| op1(e11,e11) != e10 )
& ( op1(e13,e10) != e13
| op1(e12,e12) != e10 )
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) != e11 )
& ( op1(e13,e11) != e13
| op1(e11,e11) != e11 )
& ( op1(e13,e11) != e13
| op1(e12,e12) != e11 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) != e12 )
& ( op1(e13,e12) != e13
| op1(e11,e11) != e12 )
& ( op1(e13,e12) != e13
| op1(e12,e12) != e12 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e10,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e11,e11) != e13 )
& ( op1(e13,e13) != e13
| op1(e12,e12) != e13 )
& op1(e13,e13) != e13 ),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(21,plain,
( op2(e20,e20) != e20
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e22,e22) != e20 )
& ( op2(e20,e20) != e20
| op2(e23,e23) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e21) != e20
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e22,e22) != e21 )
& ( op2(e20,e21) != e20
| op2(e23,e23) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e22) != e20
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e22,e22) != e22 )
& ( op2(e20,e22) != e20
| op2(e23,e23) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& ( op2(e20,e23) != e20
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e22,e22) != e23 )
& ( op2(e20,e23) != e20
| op2(e23,e23) != e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) != e21
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e23,e23) != e20 )
& ( op2(e21,e21) != e21
| op2(e20,e20) != e21 )
& op2(e21,e21) != e21
& ( op2(e21,e21) != e21
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e23,e23) != e21 )
& ( op2(e21,e22) != e21
| op2(e20,e20) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) != e21
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e23,e23) != e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e21,e23) != e21
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e23,e23) != e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) != e20 )
& ( op2(e22,e20) != e22
| op2(e21,e21) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e20) != e22
| op2(e23,e23) != e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) != e21 )
& ( op2(e22,e21) != e22
| op2(e21,e21) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e21) != e22
| op2(e23,e23) != e21 )
& ( op2(e22,e22) != e22
| op2(e20,e20) != e22 )
& ( op2(e22,e22) != e22
| op2(e21,e21) != e22 )
& op2(e22,e22) != e22
& ( op2(e22,e22) != e22
| op2(e23,e23) != e22 )
& ( op2(e22,e23) != e22
| op2(e20,e20) != e23 )
& ( op2(e22,e23) != e22
| op2(e21,e21) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e22,e23) != e22
| op2(e23,e23) != e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) != e20 )
& ( op2(e23,e20) != e23
| op2(e21,e21) != e20 )
& ( op2(e23,e20) != e23
| op2(e22,e22) != e20 )
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) != e21 )
& ( op2(e23,e21) != e23
| op2(e21,e21) != e21 )
& ( op2(e23,e21) != e23
| op2(e22,e22) != e21 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) != e22 )
& ( op2(e23,e22) != e23
| op2(e21,e21) != e22 )
& ( op2(e23,e22) != e23
| op2(e22,e22) != e22 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e20,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e21,e21) != e23 )
& ( op2(e23,e23) != e23
| op2(e22,e22) != e23 )
& op2(e23,e23) != e23 ),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(22,plain,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 ) )
=> epred1_0 ),
introduced(definition) ).
fof(23,plain,
( ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 ) )
=> epred2_0 ),
introduced(definition) ).
fof(24,plain,
( ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 ) )
=> epred3_0 ),
introduced(definition) ).
fof(25,plain,
( ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 ) )
=> epred4_0 ),
introduced(definition) ).
fof(26,negated_conjecture,
~ ( ( epred1_0
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( epred2_0
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( epred3_0
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( epred4_0
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[19,22,theory(equality)]),23,theory(equality)]),24,theory(equality)]),25,theory(equality)]) ).
cnf(28,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(29,plain,
( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(33,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(37,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(38,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(39,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(43,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(47,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(55,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(57,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(58,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(64,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(69,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(71,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(74,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(80,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(87,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(96,plain,
op2(e23,e20) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(99,plain,
op2(e22,e21) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(110,plain,
op2(e20,e21) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(111,plain,
op2(e20,e21) != op2(e20,e22),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(112,plain,
op2(e20,e20) != op2(e20,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(114,plain,
op2(e20,e20) != op2(e20,e21),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(116,plain,
op2(e21,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(118,plain,
op2(e20,e23) != op2(e23,e23),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(125,plain,
op2(e20,e22) != op2(e22,e22),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(128,plain,
op2(e21,e21) != op2(e23,e21),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(132,plain,
op2(e20,e21) != op2(e21,e21),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(139,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(140,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(141,plain,
e11 != e12,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(142,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(143,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(144,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(146,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(147,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(151,plain,
( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(155,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(156,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(165,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(166,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(175,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(176,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(180,plain,
op1(e13,e10) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(182,plain,
op1(e13,e10) != op1(e13,e11),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(185,plain,
op1(e12,e11) != op1(e12,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(188,plain,
op1(e12,e10) != op1(e12,e11),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(189,plain,
op1(e11,e12) != op1(e11,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(196,plain,
op1(e10,e11) != op1(e10,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(197,plain,
op1(e10,e11) != op1(e10,e12),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(204,plain,
op1(e10,e13) != op1(e13,e13),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(225,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(226,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(227,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(228,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(229,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(230,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[8]) ).
cnf(248,plain,
h1(e11) = op2(e20,e20),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(251,plain,
h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(252,plain,
h2(e11) = op2(e21,e21),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(253,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(256,plain,
h3(e11) = op2(e22,e22),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(259,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(260,plain,
h4(e11) = op2(e23,e23),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(261,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(262,plain,
h4(e13) = e23,
inference(split_conjunct,[status(thm)],[13]) ).
cnf(281,plain,
( op1(e11,e11) != e13
| op1(e12,e13) != e12 ),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(284,plain,
op1(e12,e12) != e12,
inference(split_conjunct,[status(thm)],[20]) ).
cnf(292,plain,
( op1(e12,e12) != e10
| op1(e12,e10) != e12 ),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(305,plain,
op1(e11,e11) != e11,
inference(split_conjunct,[status(thm)],[20]) ).
cnf(313,plain,
( op1(e11,e11) != e13
| op1(e10,e13) != e10 ),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(326,plain,
op1(e10,e10) != e10,
inference(split_conjunct,[status(thm)],[20]) ).
cnf(345,plain,
( op2(e21,e21) != e23
| op2(e22,e23) != e22 ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(348,plain,
op2(e22,e22) != e22,
inference(split_conjunct,[status(thm)],[21]) ).
cnf(369,plain,
op2(e21,e21) != e21,
inference(split_conjunct,[status(thm)],[21]) ).
cnf(377,plain,
( op2(e21,e21) != e23
| op2(e20,e23) != e20 ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(390,plain,
op2(e20,e20) != e20,
inference(split_conjunct,[status(thm)],[21]) ).
cnf(391,plain,
e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(392,plain,
e11 = op1(e13,e13),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(393,plain,
e10 = op1(e13,op1(e13,e13)),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(394,plain,
e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(395,plain,
e21 = op2(e23,e23),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(396,plain,
e20 = op2(e23,op2(e23,e23)),
inference(split_conjunct,[status(thm)],[17]) ).
fof(397,negated_conjecture,
( ( ~ epred1_0
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( ~ epred2_0
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( ~ epred3_0
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( ~ epred4_0
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(398,negated_conjecture,
( ( h1(e10) != e23
| ~ epred1_0 )
& ( h1(e11) != e23
| ~ epred1_0 )
& ( h1(e12) != e23
| ~ epred1_0 )
& ( h1(e13) != e23
| ~ epred1_0 )
& ( h2(e10) != e23
| ~ epred2_0 )
& ( h2(e11) != e23
| ~ epred2_0 )
& ( h2(e12) != e23
| ~ epred2_0 )
& ( h2(e13) != e23
| ~ epred2_0 )
& ( h3(e10) != e23
| ~ epred3_0 )
& ( h3(e11) != e23
| ~ epred3_0 )
& ( h3(e12) != e23
| ~ epred3_0 )
& ( h3(e13) != e23
| ~ epred3_0 )
& ( h4(e10) != e23
| ~ epred4_0 )
& ( h4(e11) != e23
| ~ epred4_0 )
& ( h4(e12) != e23
| ~ epred4_0 )
& ( h4(e13) != e23
| ~ epred4_0 ) ),
inference(distribute,[status(thm)],[397]) ).
cnf(399,negated_conjecture,
( ~ epred4_0
| h4(e13) != e23 ),
inference(split_conjunct,[status(thm)],[398]) ).
fof(613,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 )
| epred4_0 ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(614,plain,
( ( h4(e10) != e22
| h4(e10) != e21
| h4(e10) != e20
| 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))
| epred4_0 )
& ( h4(e11) != e22
| h4(e10) != e21
| h4(e10) != e20
| 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))
| epred4_0 )
& ( h4(e12) != e22
| h4(e10) != e21
| h4(e10) != e20
| 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))
| epred4_0 )
& ( h4(e13) != e22
| h4(e10) != e21
| h4(e10) != e20
| 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))
| epred4_0 )
& ( h4(e10) != e22
| h4(e11) != e21
| h4(e10) != e20
| 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))
| epred4_0 )
& ( h4(e11) != e22
| h4(e11) != e21
| h4(e10) != e20
| 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))
| epred4_0 )
& ( h4(e12) != e22
| h4(e11) != e21
| h4(e10) != e20
| 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))
| epred4_0 )
& ( h4(e13) != e22
| h4(e11) != e21
| h4(e10) != e20
| 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))
| epred4_0 )
& ( h4(e10) != e22
| h4(e12) != e21
| h4(e10) != e20
| 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))
| epred4_0 )
& ( h4(e11) != e22
| h4(e12) != e21
| h4(e10) != e20
| 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))
| epred4_0 )
& ( h4(e12) != e22
| h4(e12) != e21
| h4(e10) != e20
| 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))
| epred4_0 )
& ( h4(e13) != e22
| h4(e12) != e21
| h4(e10) != e20
| 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))
| epred4_0 )
& ( h4(e10) != e22
| h4(e13) != e21
| h4(e10) != e20
| 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))
| epred4_0 )
& ( h4(e11) != e22
| h4(e13) != e21
| h4(e10) != e20
| 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))
| epred4_0 )
& ( h4(e12) != e22
| h4(e13) != e21
| h4(e10) != e20
| 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))
| epred4_0 )
& ( h4(e13) != e22
| h4(e13) != e21
| h4(e10) != e20
| 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))
| epred4_0 )
& ( h4(e10) != e22
| h4(e10) != e21
| h4(e11) != e20
| 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))
| epred4_0 )
& ( h4(e11) != e22
| h4(e10) != e21
| h4(e11) != e20
| 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))
| epred4_0 )
& ( h4(e12) != e22
| h4(e10) != e21
| h4(e11) != e20
| 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))
| epred4_0 )
& ( h4(e13) != e22
| h4(e10) != e21
| h4(e11) != e20
| 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))
| epred4_0 )
& ( h4(e10) != e22
| h4(e11) != e21
| h4(e11) != e20
| 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))
| epred4_0 )
& ( h4(e11) != e22
| h4(e11) != e21
| h4(e11) != e20
| 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))
| epred4_0 )
& ( h4(e12) != e22
| h4(e11) != e21
| h4(e11) != e20
| 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))
| epred4_0 )
& ( h4(e13) != e22
| h4(e11) != e21
| h4(e11) != e20
| 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))
| epred4_0 )
& ( h4(e10) != e22
| h4(e12) != e21
| h4(e11) != e20
| 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))
| epred4_0 )
& ( h4(e11) != e22
| h4(e12) != e21
| h4(e11) != e20
| 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))
| epred4_0 )
& ( h4(e12) != e22
| h4(e12) != e21
| h4(e11) != e20
| 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))
| epred4_0 )
& ( h4(e13) != e22
| h4(e12) != e21
| h4(e11) != e20
| 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))
| epred4_0 )
& ( h4(e10) != e22
| h4(e13) != e21
| h4(e11) != e20
| 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))
| epred4_0 )
& ( h4(e11) != e22
| h4(e13) != e21
| h4(e11) != e20
| 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))
| epred4_0 )
& ( h4(e12) != e22
| h4(e13) != e21
| h4(e11) != e20
| 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))
| epred4_0 )
& ( h4(e13) != e22
| h4(e13) != e21
| h4(e11) != e20
| 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))
| epred4_0 )
& ( h4(e10) != e22
| h4(e10) != e21
| h4(e12) != e20
| 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))
| epred4_0 )
& ( h4(e11) != e22
| h4(e10) != e21
| h4(e12) != e20
| 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))
| epred4_0 )
& ( h4(e12) != e22
| h4(e10) != e21
| h4(e12) != e20
| 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))
| epred4_0 )
& ( h4(e13) != e22
| h4(e10) != e21
| h4(e12) != e20
| 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))
| epred4_0 )
& ( h4(e10) != e22
| h4(e11) != e21
| h4(e12) != e20
| 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))
| epred4_0 )
& ( h4(e11) != e22
| h4(e11) != e21
| h4(e12) != e20
| 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))
| epred4_0 )
& ( h4(e12) != e22
| h4(e11) != e21
| h4(e12) != e20
| 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))
| epred4_0 )
& ( h4(e13) != e22
| h4(e11) != e21
| h4(e12) != e20
| 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))
| epred4_0 )
& ( h4(e10) != e22
| h4(e12) != e21
| h4(e12) != e20
| 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))
| epred4_0 )
& ( h4(e11) != e22
| h4(e12) != e21
| h4(e12) != e20
| 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))
| epred4_0 )
& ( h4(e12) != e22
| h4(e12) != e21
| h4(e12) != e20
| 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))
| epred4_0 )
& ( h4(e13) != e22
| h4(e12) != e21
| h4(e12) != e20
| 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))
| epred4_0 )
& ( h4(e10) != e22
| h4(e13) != e21
| h4(e12) != e20
| 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))
| epred4_0 )
& ( h4(e11) != e22
| h4(e13) != e21
| h4(e12) != e20
| 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))
| epred4_0 )
& ( h4(e12) != e22
| h4(e13) != e21
| h4(e12) != e20
| 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))
| epred4_0 )
& ( h4(e13) != e22
| h4(e13) != e21
| h4(e12) != e20
| 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))
| epred4_0 )
& ( h4(e10) != e22
| h4(e10) != e21
| h4(e13) != e20
| 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))
| epred4_0 )
& ( h4(e11) != e22
| h4(e10) != e21
| h4(e13) != e20
| 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))
| epred4_0 )
& ( h4(e12) != e22
| h4(e10) != e21
| h4(e13) != e20
| 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))
| epred4_0 )
& ( h4(e13) != e22
| h4(e10) != e21
| h4(e13) != e20
| 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))
| epred4_0 )
& ( h4(e10) != e22
| h4(e11) != e21
| h4(e13) != e20
| 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))
| epred4_0 )
& ( h4(e11) != e22
| h4(e11) != e21
| h4(e13) != e20
| 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))
| epred4_0 )
& ( h4(e12) != e22
| h4(e11) != e21
| h4(e13) != e20
| 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))
| epred4_0 )
& ( h4(e13) != e22
| h4(e11) != e21
| h4(e13) != e20
| 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))
| epred4_0 )
& ( h4(e10) != e22
| h4(e12) != e21
| h4(e13) != e20
| 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))
| epred4_0 )
& ( h4(e11) != e22
| h4(e12) != e21
| h4(e13) != e20
| 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))
| epred4_0 )
& ( h4(e12) != e22
| h4(e12) != e21
| h4(e13) != e20
| 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))
| epred4_0 )
& ( h4(e13) != e22
| h4(e12) != e21
| h4(e13) != e20
| 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))
| epred4_0 )
& ( h4(e10) != e22
| h4(e13) != e21
| h4(e13) != e20
| 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))
| epred4_0 )
& ( h4(e11) != e22
| h4(e13) != e21
| h4(e13) != e20
| 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))
| epred4_0 )
& ( h4(e12) != e22
| h4(e13) != e21
| h4(e13) != e20
| 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))
| epred4_0 )
& ( h4(e13) != e22
| h4(e13) != e21
| h4(e13) != e20
| 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))
| epred4_0 ) ),
inference(distribute,[status(thm)],[613]) ).
cnf(672,plain,
( epred4_0
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(e10) != e20
| h4(e11) != e21
| h4(e12) != e22 ),
inference(split_conjunct,[status(thm)],[614]) ).
cnf(679,plain,
e21 = h4(e11),
inference(rw,[status(thm)],[260,395,theory(equality)]) ).
cnf(680,plain,
op1(e13,e11) = e10,
inference(rw,[status(thm)],[393,392,theory(equality)]) ).
cnf(681,plain,
op2(e23,e21) = e20,
inference(rw,[status(thm)],[396,395,theory(equality)]) ).
cnf(682,plain,
e20 = h4(e10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[261,395,theory(equality)]),681,theory(equality)]) ).
cnf(684,plain,
op2(e21,h2(e11)) = h2(e10),
inference(rw,[status(thm)],[253,252,theory(equality)]) ).
cnf(687,plain,
op1(e10,e11) = e12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[391,392,theory(equality)]),680,theory(equality)]),392,theory(equality)]) ).
cnf(688,plain,
op2(e20,e21) = e22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[394,395,theory(equality)]),681,theory(equality)]),395,theory(equality)]) ).
cnf(691,plain,
e22 = h4(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[259,395,theory(equality)]),681,theory(equality)]),395,theory(equality)]),688,theory(equality)]) ).
cnf(695,plain,
( op1(e10,e10) = e10
| e12 = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(rw,[status(thm)],[58,687,theory(equality)]) ).
cnf(696,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[695,143,theory(equality)]) ).
cnf(700,negated_conjecture,
( $false
| ~ epred4_0 ),
inference(rw,[status(thm)],[399,262,theory(equality)]) ).
cnf(701,negated_conjecture,
~ epred4_0,
inference(cn,[status(thm)],[700,theory(equality)]) ).
cnf(703,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10 ),
inference(sr,[status(thm)],[696,326,theory(equality)]) ).
cnf(704,plain,
( op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(sr,[status(thm)],[57,326,theory(equality)]) ).
cnf(711,plain,
h1(e11) != e20,
inference(rw,[status(thm)],[390,248,theory(equality)]) ).
cnf(712,plain,
h2(e11) != e21,
inference(rw,[status(thm)],[369,252,theory(equality)]) ).
cnf(713,plain,
h3(e11) != e22,
inference(rw,[status(thm)],[348,256,theory(equality)]) ).
cnf(725,plain,
op1(e10,e12) != e12,
inference(rw,[status(thm)],[197,687,theory(equality)]) ).
cnf(728,plain,
op1(e10,e13) != e12,
inference(rw,[status(thm)],[196,687,theory(equality)]) ).
cnf(744,plain,
( e12 = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(rw,[status(thm)],[47,687,theory(equality)]) ).
cnf(745,plain,
( e12 = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| e10 = e11 ),
inference(rw,[status(thm)],[744,680,theory(equality)]) ).
cnf(746,plain,
( op1(e11,e11) = e11
| op1(e12,e11) = e11
| e10 = e11 ),
inference(sr,[status(thm)],[745,141,theory(equality)]) ).
cnf(747,plain,
( op1(e12,e11) = e11
| e10 = e11 ),
inference(sr,[status(thm)],[746,305,theory(equality)]) ).
cnf(748,plain,
op1(e12,e11) = e11,
inference(sr,[status(thm)],[747,144,theory(equality)]) ).
cnf(752,plain,
( e12 = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(rw,[status(thm)],[43,687,theory(equality)]) ).
cnf(753,plain,
( e12 = e13
| op1(e11,e11) = e13
| e11 = e13
| op1(e13,e11) = e13 ),
inference(rw,[status(thm)],[752,748,theory(equality)]) ).
cnf(754,plain,
( e12 = e13
| op1(e11,e11) = e13
| e11 = e13
| e10 = e13 ),
inference(rw,[status(thm)],[753,680,theory(equality)]) ).
cnf(755,plain,
( op1(e11,e11) = e13
| e13 = e11
| e13 = e10 ),
inference(sr,[status(thm)],[754,139,theory(equality)]) ).
cnf(756,plain,
( op1(e11,e11) = e13
| e13 = e10 ),
inference(sr,[status(thm)],[755,140,theory(equality)]) ).
cnf(757,plain,
op1(e11,e11) = e13,
inference(sr,[status(thm)],[756,142,theory(equality)]) ).
cnf(777,plain,
e11 != op1(e12,e10),
inference(rw,[status(thm)],[188,748,theory(equality)]) ).
cnf(778,plain,
( op1(e13,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(sr,[status(thm)],[55,777,theory(equality)]) ).
cnf(779,plain,
( op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(sr,[status(thm)],[37,725,theory(equality)]) ).
cnf(780,plain,
( op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(sr,[status(thm)],[779,284,theory(equality)]) ).
cnf(791,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e13 ),
inference(sr,[status(thm)],[87,728,theory(equality)]) ).
cnf(800,plain,
op1(e12,e12) != e11,
inference(rw,[status(thm)],[185,748,theory(equality)]) ).
cnf(801,plain,
( op1(e13,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(sr,[status(thm)],[39,800,theory(equality)]) ).
cnf(803,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| e11 = e10 ),
inference(rw,[status(thm)],[33,392,theory(equality)]) ).
cnf(804,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(sr,[status(thm)],[803,144,theory(equality)]) ).
cnf(811,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| e11 = e12 ),
inference(rw,[status(thm)],[29,392,theory(equality)]) ).
cnf(812,plain,
( op1(e11,e13) = e12
| op1(e12,e13) = e12
| e12 = e11 ),
inference(sr,[status(thm)],[811,728,theory(equality)]) ).
cnf(813,plain,
( op1(e11,e13) = e12
| op1(e12,e13) = e12 ),
inference(sr,[status(thm)],[812,141,theory(equality)]) ).
cnf(853,plain,
e10 != op1(e13,e10),
inference(rw,[status(thm)],[182,680,theory(equality)]) ).
cnf(855,plain,
( op1(e12,e10) = e10
| op1(e11,e10) = e10 ),
inference(sr,[status(thm)],[704,853,theory(equality)]) ).
cnf(889,plain,
e11 != op1(e10,e13),
inference(rw,[status(thm)],[204,392,theory(equality)]) ).
cnf(892,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e10 ),
inference(sr,[status(thm)],[791,889,theory(equality)]) ).
cnf(898,plain,
e11 != op1(e13,e10),
inference(rw,[status(thm)],[180,392,theory(equality)]) ).
cnf(922,plain,
e22 != op2(e20,e20),
inference(rw,[status(thm)],[114,688,theory(equality)]) ).
cnf(923,plain,
e22 != h1(e11),
inference(rw,[status(thm)],[922,248,theory(equality)]) ).
cnf(925,plain,
e21 != op2(e20,e23),
inference(rw,[status(thm)],[118,395,theory(equality)]) ).
cnf(926,plain,
e21 != op2(e21,e23),
inference(rw,[status(thm)],[116,395,theory(equality)]) ).
cnf(947,plain,
op2(e20,e22) != e22,
inference(rw,[status(thm)],[111,688,theory(equality)]) ).
cnf(948,plain,
op2(e20,e23) != h1(e11),
inference(rw,[status(thm)],[112,248,theory(equality)]) ).
cnf(952,plain,
( op1(e12,e10) = e12
| e11 = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(rw,[status(thm)],[38,748,theory(equality)]) ).
cnf(953,plain,
( op1(e12,e10) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(sr,[status(thm)],[952,141,theory(equality)]) ).
cnf(954,plain,
( op1(e12,e10) = e12
| op1(e12,e13) = e12 ),
inference(sr,[status(thm)],[953,284,theory(equality)]) ).
cnf(985,plain,
op2(e20,e23) != e22,
inference(rw,[status(thm)],[110,688,theory(equality)]) ).
cnf(986,plain,
e20 != op2(e23,e20),
inference(rw,[status(thm)],[96,681,theory(equality)]) ).
cnf(988,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(sr,[status(thm)],[80,800,theory(equality)]) ).
cnf(989,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e13 ),
inference(sr,[status(thm)],[988,284,theory(equality)]) ).
cnf(1021,plain,
h2(e11) != op2(e20,e21),
inference(rw,[status(thm)],[132,252,theory(equality)]) ).
cnf(1022,plain,
h2(e11) != e22,
inference(rw,[status(thm)],[1021,688,theory(equality)]) ).
cnf(1044,plain,
( op1(e13,e10) = e13
| e10 = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(rw,[status(thm)],[28,680,theory(equality)]) ).
cnf(1045,plain,
( op1(e13,e10) = e13
| e10 = e13
| op1(e13,e12) = e13
| e11 = e13 ),
inference(rw,[status(thm)],[1044,392,theory(equality)]) ).
cnf(1046,plain,
( op1(e13,e10) = e13
| op1(e13,e12) = e13
| e13 = e11 ),
inference(sr,[status(thm)],[1045,142,theory(equality)]) ).
cnf(1047,plain,
( op1(e13,e10) = e13
| op1(e13,e12) = e13 ),
inference(sr,[status(thm)],[1046,140,theory(equality)]) ).
cnf(1083,plain,
op2(h2(e10),h2(e11)) = h2(e12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[251,252,theory(equality)]),684,theory(equality)]),252,theory(equality)]) ).
cnf(1092,plain,
( op2(e23,e20) = e23
| e20 = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(rw,[status(thm)],[146,681,theory(equality)]) ).
cnf(1093,plain,
( op2(e23,e20) = e23
| e20 = e23
| op2(e23,e22) = e23
| e21 = e23 ),
inference(rw,[status(thm)],[1092,395,theory(equality)]) ).
cnf(1094,plain,
( op2(e23,e20) = e23
| op2(e23,e22) = e23
| e21 = e23 ),
inference(sr,[status(thm)],[1093,228,theory(equality)]) ).
cnf(1095,plain,
( op2(e23,e20) = e23
| op2(e23,e22) = e23 ),
inference(sr,[status(thm)],[1094,226,theory(equality)]) ).
cnf(1141,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(sr,[status(thm)],[71,925,theory(equality)]) ).
cnf(1142,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e23 ),
inference(sr,[status(thm)],[1141,985,theory(equality)]) ).
cnf(1150,plain,
( op1(e10,e13) != e10
| $false ),
inference(rw,[status(thm)],[313,757,theory(equality)]) ).
cnf(1151,plain,
op1(e10,e13) != e10,
inference(cn,[status(thm)],[1150,theory(equality)]) ).
cnf(1153,plain,
( op1(e12,e13) = e10
| op1(e11,e13) = e10 ),
inference(sr,[status(thm)],[804,1151,theory(equality)]) ).
cnf(1156,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| e21 = e20 ),
inference(rw,[status(thm)],[151,395,theory(equality)]) ).
cnf(1157,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(sr,[status(thm)],[1156,230,theory(equality)]) ).
cnf(1164,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| e21 = e22 ),
inference(rw,[status(thm)],[147,395,theory(equality)]) ).
cnf(1165,plain,
( op2(e21,e23) = e22
| op2(e22,e23) = e22
| e22 = e21 ),
inference(sr,[status(thm)],[1164,985,theory(equality)]) ).
cnf(1166,plain,
( op2(e21,e23) = e22
| op2(e22,e23) = e22 ),
inference(sr,[status(thm)],[1165,227,theory(equality)]) ).
cnf(1174,plain,
h3(e11) != op2(e20,e22),
inference(rw,[status(thm)],[125,256,theory(equality)]) ).
cnf(1200,plain,
h3(e11) != op2(e22,e21),
inference(rw,[status(thm)],[99,256,theory(equality)]) ).
cnf(1258,plain,
( $false
| op1(e12,e13) != e12 ),
inference(rw,[status(thm)],[281,757,theory(equality)]) ).
cnf(1259,plain,
op1(e12,e13) != e12,
inference(cn,[status(thm)],[1258,theory(equality)]) ).
cnf(1263,plain,
op1(e11,e13) = e12,
inference(sr,[status(thm)],[813,1259,theory(equality)]) ).
cnf(1264,plain,
op1(e12,e10) = e12,
inference(sr,[status(thm)],[954,1259,theory(equality)]) ).
cnf(1278,plain,
( h1(e11) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(rw,[status(thm)],[74,248,theory(equality)]) ).
cnf(1279,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(rw,[status(thm)],[1278,248,theory(equality)]) ).
cnf(1280,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| op2(e20,e20) = e23 ),
inference(rw,[status(thm)],[1279,248,theory(equality)]) ).
cnf(1281,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| h1(e11) = e23 ),
inference(rw,[status(thm)],[1280,248,theory(equality)]) ).
cnf(1282,plain,
( h1(e11) = e21
| h1(e11) = e22
| h1(e11) = e23 ),
inference(sr,[status(thm)],[1281,711,theory(equality)]) ).
cnf(1283,plain,
( h1(e11) = e21
| h1(e11) = e23 ),
inference(sr,[status(thm)],[1282,923,theory(equality)]) ).
cnf(1291,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(rw,[status(thm)],[176,248,theory(equality)]) ).
cnf(1292,plain,
( h1(e11) = e20
| e22 = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(rw,[status(thm)],[1291,688,theory(equality)]) ).
cnf(1293,plain,
( e22 = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(sr,[status(thm)],[1292,711,theory(equality)]) ).
cnf(1294,plain,
( op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(sr,[status(thm)],[1293,229,theory(equality)]) ).
cnf(1305,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(rw,[status(thm)],[175,248,theory(equality)]) ).
cnf(1306,plain,
( op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(sr,[status(thm)],[1305,711,theory(equality)]) ).
cnf(1307,plain,
( op2(e21,e20) = e20
| op2(e22,e20) = e20 ),
inference(sr,[status(thm)],[1306,986,theory(equality)]) ).
cnf(1340,plain,
e20 != op2(e21,e21),
inference(rw,[status(thm)],[128,681,theory(equality)]) ).
cnf(1341,plain,
e20 != h2(e11),
inference(rw,[status(thm)],[1340,252,theory(equality)]) ).
cnf(1379,plain,
( e22 = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(rw,[status(thm)],[165,688,theory(equality)]) ).
cnf(1380,plain,
( e22 = e21
| h2(e11) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(rw,[status(thm)],[1379,252,theory(equality)]) ).
cnf(1381,plain,
( e22 = e21
| h2(e11) = e21
| op2(e22,e21) = e21
| e20 = e21 ),
inference(rw,[status(thm)],[1380,681,theory(equality)]) ).
cnf(1382,plain,
( h2(e11) = e21
| op2(e22,e21) = e21
| e21 = e20 ),
inference(sr,[status(thm)],[1381,227,theory(equality)]) ).
cnf(1383,plain,
( op2(e22,e21) = e21
| e21 = e20 ),
inference(sr,[status(thm)],[1382,712,theory(equality)]) ).
cnf(1384,plain,
op2(e22,e21) = e21,
inference(sr,[status(thm)],[1383,230,theory(equality)]) ).
cnf(1387,plain,
e21 != h3(e11),
inference(rw,[status(thm)],[1200,1384,theory(equality)]) ).
cnf(1458,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| h3(e11) = e22
| op2(e23,e22) = e22 ),
inference(rw,[status(thm)],[155,256,theory(equality)]) ).
cnf(1459,plain,
( op2(e21,e22) = e22
| h3(e11) = e22
| op2(e23,e22) = e22 ),
inference(sr,[status(thm)],[1458,947,theory(equality)]) ).
cnf(1460,plain,
( op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(sr,[status(thm)],[1459,713,theory(equality)]) ).
cnf(1508,plain,
( op2(e21,e20) = e21
| h2(e11) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(rw,[status(thm)],[166,252,theory(equality)]) ).
cnf(1509,plain,
( op2(e21,e20) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(sr,[status(thm)],[1508,712,theory(equality)]) ).
cnf(1510,plain,
( op2(e21,e20) = e21
| op2(e21,e22) = e21 ),
inference(sr,[status(thm)],[1509,926,theory(equality)]) ).
cnf(1547,plain,
( h2(e11) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(rw,[status(thm)],[69,252,theory(equality)]) ).
cnf(1548,plain,
( h2(e11) = e20
| h2(e11) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(rw,[status(thm)],[1547,252,theory(equality)]) ).
cnf(1549,plain,
( h2(e11) = e20
| h2(e11) = e21
| h2(e11) = e22
| op2(e21,e21) = e23 ),
inference(rw,[status(thm)],[1548,252,theory(equality)]) ).
cnf(1550,plain,
( h2(e11) = e20
| h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(rw,[status(thm)],[1549,252,theory(equality)]) ).
cnf(1551,plain,
( h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(sr,[status(thm)],[1550,1341,theory(equality)]) ).
cnf(1552,plain,
( h2(e11) = e22
| h2(e11) = e23 ),
inference(sr,[status(thm)],[1551,712,theory(equality)]) ).
cnf(1553,plain,
h2(e11) = e23,
inference(sr,[status(thm)],[1552,1022,theory(equality)]) ).
cnf(1554,plain,
op2(h2(e10),e23) = h2(e12),
inference(rw,[status(thm)],[1083,1553,theory(equality)]) ).
cnf(1555,plain,
op2(e21,e23) = h2(e10),
inference(rw,[status(thm)],[684,1553,theory(equality)]) ).
cnf(1638,plain,
( op2(e22,e20) = e22
| e21 = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(rw,[status(thm)],[156,1384,theory(equality)]) ).
cnf(1639,plain,
( op2(e22,e20) = e22
| e21 = e22
| h3(e11) = e22
| op2(e22,e23) = e22 ),
inference(rw,[status(thm)],[1638,256,theory(equality)]) ).
cnf(1640,plain,
( op2(e22,e20) = e22
| h3(e11) = e22
| op2(e22,e23) = e22 ),
inference(sr,[status(thm)],[1639,227,theory(equality)]) ).
cnf(1641,plain,
( op2(e22,e20) = e22
| op2(e22,e23) = e22 ),
inference(sr,[status(thm)],[1640,713,theory(equality)]) ).
cnf(1662,plain,
( op2(e20,e23) != e20
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[377,252,theory(equality)]),1553,theory(equality)]) ).
cnf(1663,plain,
op2(e20,e23) != e20,
inference(cn,[status(thm)],[1662,theory(equality)]) ).
cnf(1664,plain,
op2(e20,e23) = e23,
inference(sr,[status(thm)],[1142,1663,theory(equality)]) ).
cnf(1665,plain,
( op2(e22,e23) = e20
| op2(e21,e23) = e20 ),
inference(sr,[status(thm)],[1157,1663,theory(equality)]) ).
cnf(1666,plain,
op2(e20,e22) = e20,
inference(sr,[status(thm)],[1294,1663,theory(equality)]) ).
cnf(1670,plain,
( h3(e11) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(rw,[status(thm)],[64,256,theory(equality)]) ).
cnf(1671,plain,
( h3(e11) = e20
| h3(e11) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(rw,[status(thm)],[1670,256,theory(equality)]) ).
cnf(1672,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| op2(e22,e22) = e23 ),
inference(rw,[status(thm)],[1671,256,theory(equality)]) ).
cnf(1673,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(rw,[status(thm)],[1672,256,theory(equality)]) ).
cnf(1674,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e23 ),
inference(sr,[status(thm)],[1673,713,theory(equality)]) ).
cnf(1763,plain,
( $false
| op2(e22,e23) != e22 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[345,252,theory(equality)]),1553,theory(equality)]) ).
cnf(1764,plain,
op2(e22,e23) != e22,
inference(cn,[status(thm)],[1763,theory(equality)]) ).
cnf(1766,plain,
op2(e21,e23) = e22,
inference(sr,[status(thm)],[1166,1764,theory(equality)]) ).
cnf(1768,plain,
op2(e22,e20) = e22,
inference(sr,[status(thm)],[1641,1764,theory(equality)]) ).
cnf(4956,plain,
( epred4_0
| $false
| h4(e11) != e21
| h4(e12) != e22
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[672,682,theory(equality)]) ).
cnf(4957,plain,
( epred4_0
| $false
| $false
| h4(e12) != e22
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[4956,679,theory(equality)]) ).
cnf(4958,plain,
( epred4_0
| $false
| $false
| $false
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[4957,691,theory(equality)]) ).
cnf(4959,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4958,682,theory(equality)]),682,theory(equality)]),248,theory(equality)]) ).
cnf(4960,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| e22 != h4(op1(e10,e11))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4959,682,theory(equality)]),679,theory(equality)]),688,theory(equality)]) ).
cnf(4961,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4960,687,theory(equality)]),691,theory(equality)]) ).
cnf(4962,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4961,682,theory(equality)]),691,theory(equality)]) ).
cnf(4963,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4962,682,theory(equality)]),262,theory(equality)]) ).
cnf(4964,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4963,679,theory(equality)]),682,theory(equality)]) ).
cnf(4965,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| e23 != h4(op1(e11,e11))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4964,679,theory(equality)]),679,theory(equality)]),252,theory(equality)]),1553,theory(equality)]) ).
cnf(4966,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| $false
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4965,757,theory(equality)]),262,theory(equality)]) ).
cnf(4967,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| $false
| op2(e21,e22) != h4(op1(e11,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4966,679,theory(equality)]),691,theory(equality)]) ).
cnf(4968,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| $false
| op2(e21,e22) != h4(op1(e11,e12))
| op2(e21,e23) != h4(op1(e11,e13))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4967,679,theory(equality)]),262,theory(equality)]) ).
cnf(4969,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| $false
| op2(e21,e22) != h4(op1(e11,e12))
| op2(e21,e23) != h4(op1(e11,e13))
| op2(e22,e20) != h4(op1(e12,e10))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4968,691,theory(equality)]),682,theory(equality)]) ).
cnf(4970,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| $false
| op2(e21,e22) != h4(op1(e11,e12))
| op2(e21,e23) != h4(op1(e11,e13))
| op2(e22,e20) != h4(op1(e12,e10))
| e21 != h4(op1(e12,e11))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4969,691,theory(equality)]),679,theory(equality)]),1384,theory(equality)]) ).
cnf(4971,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| $false
| op2(e21,e22) != h4(op1(e11,e12))
| op2(e21,e23) != h4(op1(e11,e13))
| op2(e22,e20) != h4(op1(e12,e10))
| $false
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4970,748,theory(equality)]),679,theory(equality)]) ).
cnf(4972,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| $false
| op2(e21,e22) != h4(op1(e11,e12))
| op2(e21,e23) != h4(op1(e11,e13))
| op2(e22,e20) != h4(op1(e12,e10))
| $false
| h3(e11) != h4(op1(e12,e12))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4971,691,theory(equality)]),691,theory(equality)]),256,theory(equality)]) ).
cnf(4973,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| $false
| op2(e21,e22) != h4(op1(e11,e12))
| op2(e21,e23) != h4(op1(e11,e13))
| op2(e22,e20) != h4(op1(e12,e10))
| $false
| h3(e11) != h4(op1(e12,e12))
| op2(e22,e23) != h4(op1(e12,e13))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4972,691,theory(equality)]),262,theory(equality)]) ).
cnf(4974,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| $false
| op2(e21,e22) != h4(op1(e11,e12))
| op2(e21,e23) != h4(op1(e11,e13))
| op2(e22,e20) != h4(op1(e12,e10))
| $false
| h3(e11) != h4(op1(e12,e12))
| op2(e22,e23) != h4(op1(e12,e13))
| op2(e23,e20) != h4(op1(e13,e10))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4973,262,theory(equality)]),682,theory(equality)]) ).
cnf(4975,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| $false
| op2(e21,e22) != h4(op1(e11,e12))
| op2(e21,e23) != h4(op1(e11,e13))
| op2(e22,e20) != h4(op1(e12,e10))
| $false
| h3(e11) != h4(op1(e12,e12))
| op2(e22,e23) != h4(op1(e12,e13))
| op2(e23,e20) != h4(op1(e13,e10))
| e20 != h4(op1(e13,e11))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4974,262,theory(equality)]),679,theory(equality)]),681,theory(equality)]) ).
cnf(4976,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| $false
| op2(e21,e22) != h4(op1(e11,e12))
| op2(e21,e23) != h4(op1(e11,e13))
| op2(e22,e20) != h4(op1(e12,e10))
| $false
| h3(e11) != h4(op1(e12,e12))
| op2(e22,e23) != h4(op1(e12,e13))
| op2(e23,e20) != h4(op1(e13,e10))
| $false
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4975,680,theory(equality)]),682,theory(equality)]) ).
cnf(4977,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| $false
| op2(e21,e22) != h4(op1(e11,e12))
| op2(e21,e23) != h4(op1(e11,e13))
| op2(e22,e20) != h4(op1(e12,e10))
| $false
| h3(e11) != h4(op1(e12,e12))
| op2(e22,e23) != h4(op1(e12,e13))
| op2(e23,e20) != h4(op1(e13,e10))
| $false
| op2(e23,e22) != h4(op1(e13,e12))
| op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4976,262,theory(equality)]),691,theory(equality)]) ).
cnf(4978,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| $false
| op2(e21,e22) != h4(op1(e11,e12))
| op2(e21,e23) != h4(op1(e11,e13))
| op2(e22,e20) != h4(op1(e12,e10))
| $false
| h3(e11) != h4(op1(e12,e12))
| op2(e22,e23) != h4(op1(e12,e13))
| op2(e23,e20) != h4(op1(e13,e10))
| $false
| op2(e23,e22) != h4(op1(e13,e12))
| e21 != h4(op1(e13,e13)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4977,262,theory(equality)]),262,theory(equality)]),395,theory(equality)]) ).
cnf(4979,plain,
( epred4_0
| $false
| $false
| $false
| h1(e11) != h4(op1(e10,e10))
| $false
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| $false
| op2(e21,e22) != h4(op1(e11,e12))
| op2(e21,e23) != h4(op1(e11,e13))
| op2(e22,e20) != h4(op1(e12,e10))
| $false
| h3(e11) != h4(op1(e12,e12))
| op2(e22,e23) != h4(op1(e12,e13))
| op2(e23,e20) != h4(op1(e13,e10))
| $false
| op2(e23,e22) != h4(op1(e13,e12))
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4978,392,theory(equality)]),679,theory(equality)]) ).
cnf(4980,plain,
( epred4_0
| h1(e11) != h4(op1(e10,e10))
| op2(e20,e22) != h4(op1(e10,e12))
| op2(e20,e23) != h4(op1(e10,e13))
| op2(e21,e20) != h4(op1(e11,e10))
| op2(e21,e22) != h4(op1(e11,e12))
| op2(e21,e23) != h4(op1(e11,e13))
| op2(e22,e20) != h4(op1(e12,e10))
| h3(e11) != h4(op1(e12,e12))
| op2(e22,e23) != h4(op1(e12,e13))
| op2(e23,e20) != h4(op1(e13,e10))
| op2(e23,e22) != h4(op1(e13,e12)) ),
inference(cn,[status(thm)],[4979,theory(equality)]) ).
cnf(4981,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e12)) != op2(e23,e22) ),
inference(sr,[status(thm)],[4980,701,theory(equality)]) ).
cnf(6544,plain,
e12 != op1(e11,e12),
inference(rw,[status(thm)],[189,1263,theory(equality)]) ).
cnf(6548,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| e22 != op2(e21,e23)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4981,1263,theory(equality)]),691,theory(equality)]) ).
cnf(6586,plain,
( $false
| op1(e12,e12) != e10 ),
inference(rw,[status(thm)],[292,1264,theory(equality)]) ).
cnf(6587,plain,
op1(e12,e12) != e10,
inference(cn,[status(thm)],[6586,theory(equality)]) ).
cnf(6607,plain,
e23 != h1(e11),
inference(rw,[status(thm)],[948,1664,theory(equality)]) ).
cnf(6624,plain,
op1(e10,e12) = e10,
inference(sr,[status(thm)],[703,1151,theory(equality)]) ).
cnf(6641,plain,
h1(e11) = e21,
inference(sr,[status(thm)],[1283,6607,theory(equality)]) ).
cnf(6661,plain,
( h3(e11) = e23
| h3(e11) = e20 ),
inference(sr,[status(thm)],[1674,1387,theory(equality)]) ).
cnf(6673,plain,
( op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(sr,[status(thm)],[778,898,theory(equality)]) ).
cnf(6677,plain,
op1(e13,e12) = e12,
inference(sr,[status(thm)],[780,6544,theory(equality)]) ).
cnf(6687,plain,
( e12 = e13
| op1(e13,e10) = e13 ),
inference(rw,[status(thm)],[1047,6677,theory(equality)]) ).
cnf(6688,plain,
op1(e13,e10) = e13,
inference(sr,[status(thm)],[6687,139,theory(equality)]) ).
cnf(6697,plain,
( e12 = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(rw,[status(thm)],[801,6677,theory(equality)]) ).
cnf(6698,plain,
( e12 = e11
| op1(e11,e12) = e11
| e10 = e11 ),
inference(rw,[status(thm)],[6697,6624,theory(equality)]) ).
cnf(6699,plain,
( op1(e11,e12) = e11
| e10 = e11 ),
inference(sr,[status(thm)],[6698,141,theory(equality)]) ).
cnf(6700,plain,
op1(e11,e12) = e11,
inference(sr,[status(thm)],[6699,144,theory(equality)]) ).
cnf(6706,plain,
( e12 = e10
| op1(e11,e10) = e10 ),
inference(rw,[status(thm)],[855,1264,theory(equality)]) ).
cnf(6707,plain,
op1(e11,e10) = e10,
inference(sr,[status(thm)],[6706,143,theory(equality)]) ).
cnf(6711,plain,
( op1(e10,e10) = e11
| e10 = e11 ),
inference(rw,[status(thm)],[6673,6707,theory(equality)]) ).
cnf(6712,plain,
op1(e10,e10) = e11,
inference(sr,[status(thm)],[6711,144,theory(equality)]) ).
cnf(6733,plain,
op1(e12,e12) = e13,
inference(sr,[status(thm)],[989,6587,theory(equality)]) ).
cnf(6749,plain,
op1(e10,e13) = e13,
inference(sr,[status(thm)],[892,1151,theory(equality)]) ).
cnf(6756,plain,
e22 = h2(e10),
inference(rw,[status(thm)],[1555,1766,theory(equality)]) ).
cnf(6757,plain,
op2(e22,e23) = h2(e12),
inference(rw,[status(thm)],[1554,6756,theory(equality)]) ).
cnf(6759,plain,
( op1(e12,e13) = e10
| e12 = e10 ),
inference(rw,[status(thm)],[1153,1263,theory(equality)]) ).
cnf(6760,plain,
op1(e12,e13) = e10,
inference(sr,[status(thm)],[6759,143,theory(equality)]) ).
cnf(6771,plain,
e20 != h3(e11),
inference(rw,[status(thm)],[1174,1666,theory(equality)]) ).
cnf(6787,plain,
( e22 = e20
| op2(e21,e20) = e20 ),
inference(rw,[status(thm)],[1307,1768,theory(equality)]) ).
cnf(6788,plain,
op2(e21,e20) = e20,
inference(sr,[status(thm)],[6787,229,theory(equality)]) ).
cnf(6794,plain,
( op2(e21,e22) = e21
| e20 = e21 ),
inference(rw,[status(thm)],[1510,6788,theory(equality)]) ).
cnf(6795,plain,
op2(e21,e22) = e21,
inference(sr,[status(thm)],[6794,230,theory(equality)]) ).
cnf(6808,plain,
( op2(e23,e22) = e22
| e21 = e22 ),
inference(rw,[status(thm)],[1460,6795,theory(equality)]) ).
cnf(6809,plain,
op2(e23,e22) = e22,
inference(sr,[status(thm)],[6808,227,theory(equality)]) ).
cnf(6829,plain,
( e22 = e23
| op2(e23,e20) = e23 ),
inference(rw,[status(thm)],[1095,6809,theory(equality)]) ).
cnf(6830,plain,
op2(e23,e20) = e23,
inference(sr,[status(thm)],[6829,225,theory(equality)]) ).
cnf(6853,plain,
h3(e11) = e23,
inference(sr,[status(thm)],[6661,6771,theory(equality)]) ).
cnf(6880,plain,
( h2(e12) = e20
| op2(e21,e23) = e20 ),
inference(rw,[status(thm)],[1665,6757,theory(equality)]) ).
cnf(6881,plain,
( h2(e12) = e20
| e22 = e20 ),
inference(rw,[status(thm)],[6880,1766,theory(equality)]) ).
cnf(6882,plain,
h2(e12) = e20,
inference(sr,[status(thm)],[6881,229,theory(equality)]) ).
cnf(6906,plain,
( e20 != op2(e20,e22)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e23) != e22
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6548,6624,theory(equality)]),682,theory(equality)]) ).
cnf(6907,plain,
( $false
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e23) != e22
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[6906,1666,theory(equality)]) ).
cnf(6908,plain,
( $false
| e23 != op2(e20,e23)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e23) != e22
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6907,6749,theory(equality)]),262,theory(equality)]) ).
cnf(6909,plain,
( $false
| $false
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e23) != e22
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[6908,1664,theory(equality)]) ).
cnf(6910,plain,
( $false
| $false
| e20 != op2(e21,e20)
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e23) != e22
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6909,6707,theory(equality)]),682,theory(equality)]) ).
cnf(6911,plain,
( $false
| $false
| $false
| h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e23) != e22
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[6910,6788,theory(equality)]) ).
cnf(6912,plain,
( $false
| $false
| $false
| e21 != op2(e21,e22)
| op2(e21,e23) != e22
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6911,6700,theory(equality)]),679,theory(equality)]) ).
cnf(6913,plain,
( $false
| $false
| $false
| $false
| op2(e21,e23) != e22
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[6912,6795,theory(equality)]) ).
cnf(6914,plain,
( $false
| $false
| $false
| $false
| $false
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[6913,1766,theory(equality)]) ).
cnf(6915,plain,
( $false
| $false
| $false
| $false
| $false
| e22 != op2(e22,e20)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6914,1264,theory(equality)]),691,theory(equality)]) ).
cnf(6916,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[6915,1768,theory(equality)]) ).
cnf(6917,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| e20 != op2(e22,e23)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6916,6760,theory(equality)]),682,theory(equality)]) ).
cnf(6918,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6917,6757,theory(equality)]),6882,theory(equality)]) ).
cnf(6919,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| e23 != op2(e23,e20)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6918,6688,theory(equality)]),262,theory(equality)]) ).
cnf(6920,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[6919,6830,theory(equality)]) ).
cnf(6921,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| e22 != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6920,6677,theory(equality)]),691,theory(equality)]) ).
cnf(6922,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[6921,6809,theory(equality)]) ).
cnf(6923,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| e21 != h1(e11)
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6922,6712,theory(equality)]),679,theory(equality)]) ).
cnf(6924,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| h4(op1(e12,e12)) != h3(e11) ),
inference(rw,[status(thm)],[6923,6641,theory(equality)]) ).
cnf(6925,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| e23 != h3(e11) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6924,6733,theory(equality)]),262,theory(equality)]) ).
cnf(6926,plain,
( $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[6925,6853,theory(equality)]) ).
cnf(6927,plain,
$false,
inference(cn,[status(thm)],[6926,theory(equality)]) ).
cnf(6928,plain,
$false,
6927,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG111+1.p
% --creating new selector for []
% -running prover on /tmp/tmpqZHE5o/sel_ALG111+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG111+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG111+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG111+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