%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG116+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:35:49 EDT 2022
% Result : Theorem 191.55s 191.76s
% Output : CNFRefutation 192.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 148
% Number of leaves : 3190
% Syntax : Number of formulae : 15011 (4090 unt; 8 def)
% Number of atoms : 50921 (47119 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 54256 (18346 ~;27504 |;8288 &)
% ( 78 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 8 usr; 9 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 197 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,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 ) ) ).
fof(ax2,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 ) ) ).
fof(ax3,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 ) ) ).
fof(ax4,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 ) ) ).
fof(ax5,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) ) ).
fof(ax6,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) ) ).
fof(ax7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ) ).
fof(ax8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ) ).
fof(ax10,axiom,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 )
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ) ).
fof(ax11,axiom,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ) ).
fof(ax12,axiom,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ) ).
fof(ax13,axiom,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ) ).
fof(ax14,axiom,
( h1(e13) = e20
& h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20) ) ).
fof(ax15,axiom,
( h2(e13) = e21
& h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21) ) ).
fof(ax16,axiom,
( h3(e13) = e22
& h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22) ) ).
fof(ax17,axiom,
( h4(e13) = e23
& h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23) ) ).
fof(co1,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 ) ) ) ).
fof(definition_0,definition,
( definitionFOFtoCNF_0
<=> ( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 ) ) ) ).
fof(definition_1,definition,
( definitionFOFtoCNF_1
<=> ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13 ) ) ).
fof(definition_2,definition,
( definitionFOFtoCNF_2
<=> ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 ) ) ).
fof(definition_3,definition,
( definitionFOFtoCNF_3
<=> ( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 ) ) ) ).
fof(definition_4,definition,
( definitionFOFtoCNF_31
<=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ) ).
fof(definition_5,definition,
( definitionFOFtoCNF_4
<=> ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23 ) ) ).
fof(definition_6,definition,
( definitionFOFtoCNF_5
<=> ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 ) ) ).
fof(definition_7,definition,
( definitionFOFtoCNF_51
<=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ) ).
fof(subgoal_0,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 )
& ( 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)) ),
inference(strip,[],[co1]) ).
fof(subgoal_1,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 )
& ( 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)) ),
inference(strip,[],[co1]) ).
fof(subgoal_2,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 )
& ( 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)) ),
inference(strip,[],[co1]) ).
fof(subgoal_3,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 )
& ( 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)) ),
inference(strip,[],[co1]) ).
fof(subgoal_4,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 )
& ( 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)) ),
inference(strip,[],[co1]) ).
fof(subgoal_5,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 )
& ( 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)) ),
inference(strip,[],[co1]) ).
fof(subgoal_6,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 )
& ( 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)) ),
inference(strip,[],[co1]) ).
fof(subgoal_7,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 )
& ( 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)) ),
inference(strip,[],[co1]) ).
fof(subgoal_8,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 )
& ( 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)) ),
inference(strip,[],[co1]) ).
fof(subgoal_9,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 )
& ( 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)) ),
inference(strip,[],[co1]) ).
fof(subgoal_10,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 )
& ( 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)) ),
inference(strip,[],[co1]) ).
fof(subgoal_11,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 )
& ( 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)) ),
inference(strip,[],[co1]) ).
fof(subgoal_12,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 )
& ( 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)) ),
inference(strip,[],[co1]) ).
fof(subgoal_13,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 )
& ( 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)) ),
inference(strip,[],[co1]) ).
fof(subgoal_14,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 )
& ( 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)) ),
inference(strip,[],[co1]) ).
fof(subgoal_15,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 )
& ( 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)) ),
inference(strip,[],[co1]) ).
fof(subgoal_16,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 )
& ( 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 ),
inference(strip,[],[co1]) ).
fof(subgoal_17,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 )
& ( 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 ),
inference(strip,[],[co1]) ).
fof(subgoal_18,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 )
& ( 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 ),
inference(strip,[],[co1]) ).
fof(subgoal_19,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 )
& ( 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(strip,[],[co1]) ).
fof(negate_0_0,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 )
& ( 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)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_0_1,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_3,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,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) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_0_4,plain,
op1(e10,e10) != op1(e10,e11),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_0_6,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
op1(e10,e11) != op1(e10,e13),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_8,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_9,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_10,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13 )
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_0_11,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_0_12,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13 ) ) ),
inference(simplify,[],[normalize_0_10,normalize_0_11]) ).
fof(normalize_0_13,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e10),op1(e11,e10)) = e10 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e11),op1(e11,e11)) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e12),op1(e11,e12)) = e12 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 )
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,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) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_0_16,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_0_18,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_0_20,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_22,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_0_23,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_25,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_26,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_27,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_0_28,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_0_29,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(simplify,[],[normalize_0_27,normalize_0_28]) ).
fof(normalize_0_30,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e22),op2(e21,e22)) = e22 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_33,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_34,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_0_35,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_0_37,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_0_32,normalize_0_33,normalize_0_35,normalize_0_37]) ).
fof(normalize_0_39,plain,
h4(op1(e10,e10)) != op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_0_41,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_42,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e21),op2(e20,e21)) = e21
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_0_28]) ).
fof(normalize_0_43,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_0_42]) ).
fof(normalize_0_44,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_0_36]) ).
fof(normalize_0_45,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_0_36]) ).
fof(normalize_0_46,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_47,plain,
h3(e11) = op2(e22,e22),
inference(conjunct,[],[normalize_0_36]) ).
fof(normalize_0_48,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_0_42]) ).
fof(normalize_0_49,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_50,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_51,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_52,plain,
( ( 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(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_0_53,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_0_52]) ).
fof(normalize_0_54,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_0_55,plain,
e20 != e22,
inference(conjunct,[],[normalize_0_54]) ).
fof(normalize_0_56,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_57,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e11),op1(e10,e11)) = e11
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_58,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_0_57]) ).
fof(normalize_0_59,plain,
( ( 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(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_0_60,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_61,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_0_62,plain,
e10 != e12,
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_63,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_64,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23 ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_0_65,plain,
( ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e22),op2(e22,e22)) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 )
& ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_0_64]) ).
fof(normalize_0_66,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 ),
inference(conjunct,[],[normalize_0_65]) ).
fof(normalize_0_67,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_68,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_69,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_0_70,plain,
( definitionFOFtoCNF_3
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_0_69,normalize_0_29,normalize_0_28]) ).
fof(normalize_0_71,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_0_70,normalize_0_64]) ).
fof(normalize_0_72,plain,
( ( op2(op2(e23,e20),op2(e23,e20)) = e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e22
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_0_71]) ).
fof(normalize_0_73,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_0_72]) ).
fof(normalize_0_74,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_0_72]) ).
fof(normalize_0_75,plain,
h1(e12) = op2(op2(e20,op2(e20,e20)),e20),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_76,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_77,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference(conjunct,[],[normalize_0_65]) ).
fof(normalize_0_78,plain,
e21 != e23,
inference(conjunct,[],[normalize_0_54]) ).
fof(normalize_0_79,plain,
op2(e21,e21) != op2(e21,e22),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_80,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e22),op2(e22,e22)) = e22 ),
inference(conjunct,[],[normalize_0_65]) ).
fof(normalize_0_81,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 ),
inference(conjunct,[],[normalize_0_65]) ).
fof(normalize_0_82,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(conjunct,[],[normalize_0_52]) ).
fof(normalize_0_83,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_84,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_0_52]) ).
fof(normalize_0_85,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_86,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_87,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_88,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_89,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_90,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_0_52]) ).
fof(normalize_0_91,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_92,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_93,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_94,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_95,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_96,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_97,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_98,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_99,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_100,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_101,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_102,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_103,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_104,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_105,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(conjunct,[],[normalize_0_52]) ).
fof(normalize_0_106,plain,
e20 != e21,
inference(conjunct,[],[normalize_0_54]) ).
fof(normalize_0_107,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e22),op2(e21,e22)) = e22 ),
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_108,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_109,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e13),op1(e12,e13)) != e13 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_0_110,plain,
( ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e11),op1(e12,e11)) = e11 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e12),op1(e12,e12)) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 )
& ( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e13),op1(e12,e13)) != e13
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_0_109]) ).
fof(normalize_0_111,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 ),
inference(conjunct,[],[normalize_0_110]) ).
fof(normalize_0_112,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_113,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 )
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_0_114,plain,
( definitionFOFtoCNF_0
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(simplify,[],[normalize_0_113,normalize_0_12,normalize_0_11]) ).
fof(normalize_0_115,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(simplify,[],[normalize_0_114,normalize_0_109]) ).
fof(normalize_0_116,plain,
( ( op1(op1(e13,e10),op1(e13,e10)) = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_0_115]) ).
fof(normalize_0_117,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_0_116]) ).
fof(normalize_0_118,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_0_116]) ).
fof(normalize_0_119,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_120,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_121,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_122,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_123,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_124,plain,
e11 != e13,
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_125,plain,
e12 != e13,
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_126,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_127,plain,
op1(e10,e11) != op1(e10,e12),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_128,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_129,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_130,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_131,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_132,plain,
op1(e13,e10) != op1(e13,e11),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_133,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_134,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_135,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_136,plain,
op1(e13,e11) != op1(e13,e12),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_137,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_138,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_139,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_140,plain,
op1(e11,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_141,plain,
e10 != e13,
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_142,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 ),
inference(conjunct,[],[normalize_0_110]) ).
fof(normalize_0_143,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_144,plain,
e10 != e11,
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_145,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_146,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_147,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_148,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e10),op1(e11,e10)) = e10 ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_149,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_150,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_151,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_152,plain,
op1(e11,e10) != op1(e11,e13),
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_0_6,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_0_8,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_0_9,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
op1(e13,op1(e13,e13)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e11)
| e10 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_0_12,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e11)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
e10 = op1(e13,e11),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_0_0,refute_0_12]) ).
cnf(refute_0_14,plain,
op1(e10,e10) != op1(e10,e11),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_15,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_16,plain,
op1(e10,e11) != op1(e10,e13),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_17,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_18,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = e10 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).
cnf(refute_0_19,plain,
op1(e13,op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_0_0,refute_0_18]) ).
cnf(refute_0_20,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(op1(e13,op1(e13,e13)),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_0_21,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_22,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) != op1(e10,e13)
| e12 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e13)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_0_25,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| e12 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(e10,e13)) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
e12 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),e13)) )],[refute_0_17,refute_0_25]) ).
cnf(refute_0_27,plain,
( e12 != op1(e10,e13)
| op1(e10,e13) = e12 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_0_28,plain,
op1(e10,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( op1(e10,e11) != e12
| op1(e10,e13) != e12
| op1(e10,e11) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_0_30,plain,
( op1(e10,e11) != e12
| op1(e10,e11) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
op1(e10,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_0_30,refute_0_16]) ).
cnf(refute_0_32,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_0_15,refute_0_31]) ).
cnf(refute_0_33,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_34,plain,
( e10 != op1(e13,e11)
| op1(e13,e11) = e10 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_0_35,plain,
op1(e13,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e11)) )],[refute_0_13,refute_0_34]) ).
cnf(refute_0_36,plain,
( op1(e10,e11) != e10
| op1(e13,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_0_37,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_0_37,refute_0_33]) ).
cnf(refute_0_39,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_0_32,refute_0_38]) ).
cnf(refute_0_40,plain,
( op1(e10,e10) != e13
| op1(e10,e11) != e13
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_0_41,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = op1(e10,e11)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
( op1(e10,e10) != e13
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_0_41,refute_0_14]) ).
cnf(refute_0_43,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_44,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_45,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_46,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_0_47,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_0_49,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
h1(e11) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_0_49,refute_0_44]) ).
cnf(refute_0_51,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_52,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_53,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_54,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_55,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_0_56,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_0_58,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_59,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_0_62,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
e22 = op2(e20,e23),
inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),e23)) )],[refute_0_53,refute_0_62]) ).
cnf(refute_0_64,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_0_65,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
( op2(e20,e21) != e22
| op2(e20,e23) != e22
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_0_67,plain,
( op2(e20,e21) != e22
| op2(e20,e21) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
op2(e20,e21) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_0_67,refute_0_52]) ).
cnf(refute_0_69,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_0_51,refute_0_68]) ).
cnf(refute_0_70,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_71,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_72,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_0_73,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_0_75,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_76,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
op2(e23,op2(e23,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_73,refute_0_76]) ).
cnf(refute_0_78,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e21)
| e20 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_0_79,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e21)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
e20 = op2(e23,e21),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_0_54,refute_0_79]) ).
cnf(refute_0_81,plain,
( e20 != op2(e23,e21)
| op2(e23,e21) = e20 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_0_82,plain,
op2(e23,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
( op2(e20,e21) != e20
| op2(e23,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_0_84,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_0_84,refute_0_70]) ).
cnf(refute_0_86,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_0_69,refute_0_85]) ).
cnf(refute_0_87,plain,
( h1(e11) != e23
| op2(e20,e21) != e23
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_0_88,plain,
( h1(e11) != e23
| h1(e11) = op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
( h1(e11) != e23
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_0_88,refute_0_50]) ).
cnf(refute_0_90,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_91,plain,
h4(op1(e10,e10)) != op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_92,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_93,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_0_94,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_0_56,refute_0_93]) ).
cnf(refute_0_95,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_0_92,refute_0_94]) ).
cnf(refute_0_96,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_0_97,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_98,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_95,refute_0_98]) ).
cnf(refute_0_100,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_0_101,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_102,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_95,refute_0_102]) ).
cnf(refute_0_104,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_105,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_104]) ).
cnf(refute_0_106,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_0_105:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_0_107,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_0_99,refute_0_107]) ).
cnf(refute_0_109,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_0_105:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_0_110,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_47,refute_0_110]) ).
cnf(refute_0_112,plain,
( h4(op1(e10,e10)) != h1(e11)
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1],$fot(h1(e11))]]) ).
cnf(refute_0_113,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
h4(op1(e10,e10)) != h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_0_113,refute_0_91]) ).
cnf(refute_0_115,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_116,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_117,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_118,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = h3(e10) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_0_119,plain,
op2(e22,op2(e22,e22)) = h3(e10),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_0_121,plain,
( op2(e22,op2(e22,e22)) != h3(e10)
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(h3(e10))]]) ).
cnf(refute_0_122,plain,
( op2(e22,op2(e22,e22)) != h3(e10)
| op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),h3(e10)) )],[refute_0_119,refute_0_122]) ).
cnf(refute_0_124,plain,
( h3(e12) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != op2(h3(e10),e22)
| h3(e12) = op2(h3(e10),e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(h3(e10),e22)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_0_125,plain,
( h3(e12) != op2(op2(e22,op2(e22,e22)),e22)
| h3(e12) = op2(h3(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(h3(e10),e22)) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
h3(e12) = op2(h3(e10),e22),
inference(resolve,[$cnf( $equal(h3(e12),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_0_116,refute_0_125]) ).
cnf(refute_0_127,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_128,plain,
h3(e11) = op2(e22,e22),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_129,plain,
( h3(e11) != op2(e22,e22)
| op2(e22,e22) = h3(e11) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_0_130,plain,
op2(e22,e22) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_0_132,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
h3(e11) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_0_132,refute_0_127]) ).
cnf(refute_0_134,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_135,plain,
op2(e22,op2(e20,e23)) = op2(e22,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e20,e23)))]]) ).
cnf(refute_0_136,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_0_137,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
op2(e22,op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_0_65,refute_0_137]) ).
cnf(refute_0_139,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(op2(e20,e23),op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),op2(e20,e23)))]]) ).
cnf(refute_0_140,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) != op2(op2(e20,e23),op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) ),[1,0],$fot(e22)]]) ).
cnf(refute_0_141,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_0_65,refute_0_141]) ).
cnf(refute_0_143,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(subst,[],[refute_0_105:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,op2(e20,e23)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_0_144,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,e22)) )],[refute_0_138,refute_0_144]) ).
cnf(refute_0_146,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(subst,[],[refute_0_105:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_0_147,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,e22)) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
op2(op2(e20,e23),op2(e20,e23)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_130,refute_0_147]) ).
cnf(refute_0_149,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| op2(op2(e20,e23),op2(e20,e23)) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_0_150,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),h3(e11)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
( h3(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) )],[refute_0_134,refute_0_150]) ).
cnf(refute_0_152,plain,
( e23 != op2(e22,e23)
| h3(e11) != e23
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_0_153,plain,
( e23 != op2(e22,e23)
| h3(e11) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
( e23 != op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_0_153,refute_0_133]) ).
cnf(refute_0_155,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_156,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_157,plain,
( op2(e22,e23) != e21
| op2(e23,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_0_158,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_73,refute_0_157]) ).
cnf(refute_0_159,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_0_158,refute_0_156]) ).
cnf(refute_0_160,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_0_155,refute_0_159]) ).
cnf(refute_0_161,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_162,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_0_163,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_0_65,refute_0_162]) ).
cnf(refute_0_164,plain,
e22 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_0_163,refute_0_161]) ).
cnf(refute_0_165,plain,
( op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_0_166,plain,
op2(e22,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_0_165,refute_0_164]) ).
cnf(refute_0_167,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_0_160,refute_0_166]) ).
cnf(refute_0_168,plain,
( e23 != e23
| op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_0_169,plain,
( e23 != e23
| e23 = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_0_169,refute_0_154]) ).
cnf(refute_0_171,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_0_172,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_171,refute_0_170]) ).
cnf(refute_0_173,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_0_174,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_0_175,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
op2(e22,op2(e22,e22)) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_130,refute_0_175]) ).
cnf(refute_0_177,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) != op2(e22,h3(e11))
| h3(e10) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),op2(e22,h3(e11))) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_0_178,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| h3(e10) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h3(e11))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
h3(e10) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_0_117,refute_0_178]) ).
cnf(refute_0_180,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e11) != e23
| h3(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_181,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e10) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_0_151,refute_0_180]) ).
cnf(refute_0_182,plain,
( h3(e10) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) )],[refute_0_179,refute_0_181]) ).
cnf(refute_0_183,plain,
( h3(e10) != op2(e22,e23)
| op2(e22,e23) = h3(e10) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_0_184,plain,
( op2(e22,e23) = h3(e10)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e23)) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
( op2(e22,e23) != e20
| op2(e22,e23) != h3(e10)
| h3(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e20) ),[0],$fot(h3(e10))]]) ).
cnf(refute_0_186,plain,
( op2(e22,e23) != e20
| h3(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),h3(e10)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
( h3(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_0_172,refute_0_186]) ).
cnf(refute_0_188,plain,
( h3(e10) != e20
| h3(e12) != op2(h3(e10),e22)
| h3(e12) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e12),op2(h3(e10),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_189,plain,
( h3(e12) != op2(h3(e10),e22)
| h3(e12) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
( h3(e12) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(h3(e10),e22)) )],[refute_0_126,refute_0_189]) ).
cnf(refute_0_191,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) = h3(e12) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_0_192,plain,
( op2(e20,e22) = h3(e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
( op2(e20,e22) != h3(e12)
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e22),h3(e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) ),[0,1],$fot(h3(e12))]]) ).
cnf(refute_0_194,plain,
( op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e22),h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e12)) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
( op2(op2(e20,e22),h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) )],[refute_0_115,refute_0_194]) ).
cnf(refute_0_196,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_197,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_0_198,plain,
( op2(e20,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_47,refute_0_197]) ).
cnf(refute_0_199,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_196,refute_0_198]) ).
cnf(refute_0_200,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_0_201,plain,
( op2(e20,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_0_65,refute_0_200]) ).
cnf(refute_0_202,plain,
( e22 = e20
| h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_0_199,refute_0_201]) ).
cnf(refute_0_203,plain,
e20 != e22,
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_204,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_0_205,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_0_204,refute_0_203]) ).
cnf(refute_0_206,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_0_202,refute_0_205]) ).
cnf(refute_0_207,plain,
( h1(e11) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_0_206,refute_0_85]) ).
cnf(refute_0_208,plain,
( op2(e20,e22) != e20
| op2(op2(e20,e22),h3(e12)) != e22
| op2(e20,h3(e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) ),[0,0],$fot(e20)]]) ).
cnf(refute_0_209,plain,
( op2(op2(e20,e22),h3(e12)) != e22
| h1(e11) = e20
| op2(e20,h3(e12)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
( h1(e11) = e20
| op2(e20,h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) )],[refute_0_195,refute_0_209]) ).
cnf(refute_0_211,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) != e20
| h3(e12) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),e20) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_0_212,plain,
( h3(e12) != op2(e20,e22)
| h1(e11) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_0_207,refute_0_211]) ).
cnf(refute_0_213,plain,
( h1(e11) = e20
| h3(e12) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_0_190,refute_0_212]) ).
cnf(refute_0_214,plain,
( h3(e12) != e20
| op2(e20,h3(e12)) != e22
| op2(e20,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e12)),e22) ),[0,1],$fot(e20)]]) ).
cnf(refute_0_215,plain,
( op2(e20,h3(e12)) != e22
| h1(e11) = e20
| op2(e20,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),e20) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
( h1(e11) = e20
| op2(e20,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e12)),e22) )],[refute_0_210,refute_0_215]) ).
cnf(refute_0_217,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_0_218,plain,
( op2(e20,e20) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_47,refute_0_217]) ).
cnf(refute_0_219,plain,
( h1(e11) = e20
| h1(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_0_216,refute_0_218]) ).
cnf(refute_0_220,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_221,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_0_222,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_47,refute_0_221]) ).
cnf(refute_0_223,plain,
( h1(e11) != e22
| op2(e20,e23) != e22
| h1(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_0_224,plain,
( h1(e11) != e22
| h1(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_0_65,refute_0_223]) ).
cnf(refute_0_225,plain,
( h1(e11) != e22
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e23)) )],[refute_0_224,refute_0_222]) ).
cnf(refute_0_226,plain,
h1(e11) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_0_225,refute_0_220]) ).
cnf(refute_0_227,plain,
( h1(e11) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_0_219,refute_0_226]) ).
cnf(refute_0_228,plain,
( h1(e11) != e20
| h4(op1(e10,e10)) != e20
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_0_229,plain,
( h4(op1(e10,e10)) != e20
| h4(op1(e10,e10)) = h1(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
( h4(op1(e10,e10)) != e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_0_229,refute_0_114]) ).
cnf(refute_0_231,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_232,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_233,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_0_234,plain,
( op1(e10,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_0_28,refute_0_233]) ).
cnf(refute_0_235,plain,
( e12 = e10
| op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_0_232,refute_0_234]) ).
cnf(refute_0_236,plain,
e10 != e12,
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_237,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_0_238,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_0_237,refute_0_236]) ).
cnf(refute_0_239,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_0_235,refute_0_238]) ).
cnf(refute_0_240,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_0_239,refute_0_38]) ).
cnf(refute_0_241,plain,
( op1(e10,e12) != e10
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e10,op1(e10,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) ),[0,0],$fot(e10)]]) ).
cnf(refute_0_242,plain,
( op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e10,e10) = e10
| op1(e10,op1(e10,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
( op1(e10,e10) = e10
| op1(e10,op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) )],[refute_0_231,refute_0_242]) ).
cnf(refute_0_244,plain,
( op1(e10,e12) != e10
| op1(e10,op1(e10,e12)) != e12
| op1(e10,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) ),[0,1],$fot(e10)]]) ).
cnf(refute_0_245,plain,
( op1(e10,op1(e10,e12)) != e12
| op1(e10,e10) = e10
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_0_240,refute_0_244]) ).
cnf(refute_0_246,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) )],[refute_0_243,refute_0_245]) ).
cnf(refute_0_247,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_248,plain,
( op1(e10,e10) != e12
| op1(e10,e13) != e12
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_0_249,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_0_28,refute_0_248]) ).
cnf(refute_0_250,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_0_249,refute_0_247]) ).
cnf(refute_0_251,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_0_246,refute_0_250]) ).
cnf(refute_0_252,plain,
( h4(e10) != e20
| op1(e10,e10) != e10
| h4(op1(e10,e10)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),e20) ),[0,0],$fot(e10)]]) ).
cnf(refute_0_253,plain,
( h4(e10) != e20
| h4(op1(e10,e10)) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
( h4(e10) != e20
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e20) )],[refute_0_253,refute_0_230]) ).
cnf(refute_0_255,plain,
( e20 != e20
| h4(e10) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_0_256,plain,
( e20 != e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_95,refute_0_255]) ).
cnf(refute_0_257,plain,
( e20 != e20
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_256,refute_0_254]) ).
cnf(refute_0_258,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_0_259,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_258,refute_0_257]) ).
cnf(refute_0_260,plain,
( ~ definitionFOFtoCNF_3
| op2(op2(e21,e23),op2(e21,e23)) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_0_259,refute_0_90]) ).
cnf(refute_0_261,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 ),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_262,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_263,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_264,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_0_265,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
( op2(e20,e21) != h2(e11)
| op2(e21,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_0_267,plain,
( op2(e20,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
op2(e20,e21) != h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_0_267,refute_0_262]) ).
cnf(refute_0_269,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_270,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_0_271,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_272,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_73,refute_0_272]) ).
cnf(refute_0_274,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_0_275,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_276,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_73,refute_0_276]) ).
cnf(refute_0_278,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_0_105:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_0_279,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_0_273,refute_0_279]) ).
cnf(refute_0_281,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_0_105:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_0_282,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_265,refute_0_282]) ).
cnf(refute_0_284,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_0_285,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
( h2(e11) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) )],[refute_0_269,refute_0_285]) ).
cnf(refute_0_287,plain,
( h2(e11) != e23
| op2(e20,e21) != e23
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),h2(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_0_288,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = h2(e11)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
( op2(e20,e21) != e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_0_288,refute_0_268]) ).
cnf(refute_0_290,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_0_74]) ).
cnf(refute_0_291,plain,
op2(e20,op2(e23,e21)) = op2(e20,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e21)))]]) ).
cnf(refute_0_292,plain,
( op2(e20,op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(e23,e21) != e20
| op2(e20,op2(e23,e21)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_293,plain,
( op2(e23,e21) != e20
| op2(e20,op2(e23,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
op2(e20,op2(e23,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_0_82,refute_0_293]) ).
cnf(refute_0_295,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(op2(e23,e21),op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),op2(e23,e21)))]]) ).
cnf(refute_0_296,plain,
( op2(e23,e21) != e20
| op2(op2(e23,e21),op2(e23,e21)) != op2(op2(e23,e21),op2(e23,e21))
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(op2(e23,e21),op2(e23,e21))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_297,plain,
( op2(e23,e21) != e20
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(op2(e23,e21),op2(e23,e21))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_0_82,refute_0_297]) ).
cnf(refute_0_299,plain,
( op2(e20,op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20) ),
inference(subst,[],[refute_0_105:[bind(X,$fot(op2(op2(e23,e21),op2(e23,e21)))),bind(Y,$fot(op2(e20,op2(e23,e21)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_0_300,plain,
( op2(e20,op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,e20)) )],[refute_0_294,refute_0_300]) ).
cnf(refute_0_302,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e23,e21),op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) = h1(e11) ),
inference(subst,[],[refute_0_105:[bind(X,$fot(op2(op2(e23,e21),op2(e23,e21)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_0_303,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e23,e21),op2(e23,e21)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(e20,e20)) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
op2(op2(e23,e21),op2(e23,e21)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_47,refute_0_303]) ).
cnf(refute_0_305,plain,
( op2(op2(e23,e21),op2(e23,e21)) != e21
| op2(op2(e23,e21),op2(e23,e21)) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_0_306,plain,
( op2(op2(e23,e21),op2(e23,e21)) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),h1(e11)) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
( h1(e11) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),e21) )],[refute_0_290,refute_0_306]) ).
cnf(refute_0_308,plain,
( e21 != op2(e20,e21)
| h1(e11) != e21
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_0_309,plain,
( e21 != op2(e20,e21)
| h1(e11) = op2(e20,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
( e21 != op2(e20,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_0_309,refute_0_50]) ).
cnf(refute_0_311,plain,
( e21 != e21
| op2(e20,e21) != e21
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_0_312,plain,
( e21 != e21
| e21 = op2(e20,e21)
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_0_86,refute_0_311]) ).
cnf(refute_0_313,plain,
( e21 != e21
| op2(e20,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_0_312,refute_0_310]) ).
cnf(refute_0_314,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_0_315,plain,
( op2(e20,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_314,refute_0_313]) ).
cnf(refute_0_316,plain,
( e23 != e23
| op2(e20,e21) != e23
| op2(e20,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_0_317,plain,
( e23 != e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
( e23 != e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_0_317,refute_0_289]) ).
cnf(refute_0_319,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_171,refute_0_318]) ).
cnf(refute_0_320,plain,
( op2(op2(e22,e20),op2(e22,e20)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_0_319,refute_0_261]) ).
cnf(refute_0_321,plain,
h1(e12) = op2(op2(e20,op2(e20,e20)),e20),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_322,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_0_76]) ).
cnf(refute_0_323,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = h1(e10) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e20,op2(e20,e20))))]]) ).
cnf(refute_0_324,plain,
op2(e20,op2(e20,e20)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,op2(e20,e20))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
op2(op2(e20,op2(e20,e20)),e20) = op2(op2(e20,op2(e20,e20)),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,op2(e20,e20)),e20))]]) ).
cnf(refute_0_326,plain,
( op2(e20,op2(e20,e20)) != h1(e10)
| op2(op2(e20,op2(e20,e20)),e20) != op2(op2(e20,op2(e20,e20)),e20)
| op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e10),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(op2(e20,op2(e20,e20)),e20)) ),[1,0],$fot(h1(e10))]]) ).
cnf(refute_0_327,plain,
( op2(e20,op2(e20,e20)) != h1(e10)
| op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e10),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(op2(e20,op2(e20,e20)),e20)) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e10),e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),h1(e10)) )],[refute_0_324,refute_0_327]) ).
cnf(refute_0_329,plain,
( h1(e12) != op2(op2(e20,op2(e20,e20)),e20)
| op2(op2(e20,op2(e20,e20)),e20) != op2(h1(e10),e20)
| h1(e12) = op2(h1(e10),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e12),op2(h1(e10),e20)) ),[0],$fot(op2(op2(e20,op2(e20,e20)),e20))]]) ).
cnf(refute_0_330,plain,
( h1(e12) != op2(op2(e20,op2(e20,e20)),e20)
| h1(e12) = op2(h1(e10),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(h1(e10),e20)) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
h1(e12) = op2(h1(e10),e20),
inference(resolve,[$cnf( $equal(h1(e12),op2(op2(e20,op2(e20,e20)),e20)) )],[refute_0_321,refute_0_330]) ).
cnf(refute_0_332,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_0_333,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_0_334,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_47,refute_0_334]) ).
cnf(refute_0_336,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) != op2(e20,h1(e11))
| h1(e10) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e20,h1(e11))) ),[0],$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_0_337,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| h1(e10) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e11))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
h1(e10) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,op2(e20,e20))) )],[refute_0_322,refute_0_337]) ).
cnf(refute_0_339,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference(canonicalize,[],[normalize_0_77]) ).
cnf(refute_0_340,plain,
( op2(op2(e22,e23),op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_0_319,refute_0_339]) ).
cnf(refute_0_341,plain,
( op2(e22,e23) != e23
| op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(op2(e22,e23),e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_0_342,plain,
( op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e22,e23) = e20
| op2(op2(e22,e23),e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_0_167,refute_0_341]) ).
cnf(refute_0_343,plain,
( op2(e22,e23) = e20
| op2(op2(e22,e23),e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) )],[refute_0_340,refute_0_342]) ).
cnf(refute_0_344,plain,
( op2(e22,e23) != e23
| op2(op2(e22,e23),e23) != e23
| op2(e23,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_0_345,plain,
( op2(op2(e22,e23),e23) != e23
| op2(e22,e23) = e20
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_0_167,refute_0_344]) ).
cnf(refute_0_346,plain,
( op2(e22,e23) = e20
| op2(e23,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),e23) )],[refute_0_343,refute_0_345]) ).
cnf(refute_0_347,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e21)]]) ).
cnf(refute_0_348,plain,
( op2(e23,e23) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_73,refute_0_347]) ).
cnf(refute_0_349,plain,
( e21 = e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_0_346,refute_0_348]) ).
cnf(refute_0_350,plain,
e21 != e23,
inference(canonicalize,[],[normalize_0_78]) ).
cnf(refute_0_351,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
( op2(e22,e23) != e20
| op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e20,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) ),[0,0],$fot(e20)]]) ).
cnf(refute_0_353,plain,
( op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e20,op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
( op2(e20,op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) )],[refute_0_340,refute_0_353]) ).
cnf(refute_0_355,plain,
( op2(e20,op2(e22,e23)) != e23
| op2(e22,e23) != e20
| op2(e20,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e23)),e23) ),[0,1],$fot(e20)]]) ).
cnf(refute_0_356,plain,
( op2(e20,op2(e22,e23)) != e23
| op2(e20,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_0_351,refute_0_355]) ).
cnf(refute_0_357,plain,
( op2(e20,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e23)),e23) )],[refute_0_354,refute_0_356]) ).
cnf(refute_0_358,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_0_359,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_47,refute_0_358]) ).
cnf(refute_0_360,plain,
( h1(e11) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_0_357,refute_0_359]) ).
cnf(refute_0_361,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e11) != e23
| h1(e10) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_362,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = op2(e20,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
( h1(e10) = op2(e20,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_0_338,refute_0_362]) ).
cnf(refute_0_364,plain,
( h1(e10) != op2(e20,e23)
| op2(e20,e23) != e22
| h1(e10) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e22) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_0_365,plain,
( h1(e10) != op2(e20,e23)
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_0_65,refute_0_364]) ).
cnf(refute_0_366,plain,
( h1(e10) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e23)) )],[refute_0_363,refute_0_365]) ).
cnf(refute_0_367,plain,
( h1(e10) != e22
| h1(e12) != op2(h1(e10),e20)
| h1(e12) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),op2(h1(e10),e20)) ),[1,0],$fot(e22)]]) ).
cnf(refute_0_368,plain,
( h1(e12) != op2(h1(e10),e20)
| h1(e12) = op2(e22,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
( h1(e12) = op2(e22,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(h1(e10),e20)) )],[refute_0_331,refute_0_368]) ).
cnf(refute_0_370,plain,
( h1(e12) != op2(e22,e20)
| op2(e22,e20) = h1(e12) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(h1(e12))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_0_371,plain,
( op2(e22,e20) = h1(e12)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e22,e20)) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
( op2(e22,e20) != h1(e12)
| op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e20),h1(e12)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e20),op2(e22,e20)),e20) ),[0,1],$fot(h1(e12))]]) ).
cnf(refute_0_373,plain,
( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e20),h1(e12)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h1(e12)) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
( op2(op2(e22,e20),h1(e12)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),op2(e22,e20)),e20) )],[refute_0_320,refute_0_373]) ).
cnf(refute_0_375,plain,
op2(e21,e21) != op2(e21,e22),
inference(canonicalize,[],[normalize_0_79]) ).
cnf(refute_0_376,plain,
( h2(e11) != op2(e21,e22)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_0_377,plain,
( h2(e11) != op2(e21,e22)
| op2(e21,e21) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_265,refute_0_376]) ).
cnf(refute_0_378,plain,
h2(e11) != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e22)) )],[refute_0_377,refute_0_375]) ).
cnf(refute_0_379,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e22),op2(e22,e22)) = e22 ),
inference(canonicalize,[],[normalize_0_80]) ).
cnf(refute_0_380,plain,
op2(h3(e11),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(h3(e11),op2(e22,e22)))]]) ).
cnf(refute_0_381,plain,
( op2(e22,e22) != h3(e11)
| op2(h3(e11),op2(e22,e22)) != op2(h3(e11),op2(e22,e22))
| op2(h3(e11),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),op2(e22,e22)),op2(h3(e11),op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_0_382,plain,
( op2(e22,e22) != h3(e11)
| op2(h3(e11),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),op2(e22,e22)),op2(h3(e11),op2(e22,e22))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
op2(h3(e11),op2(e22,e22)) = op2(h3(e11),h3(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_130,refute_0_382]) ).
cnf(refute_0_384,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_0_385,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(h3(e11))]]) ).
cnf(refute_0_386,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_130,refute_0_386]) ).
cnf(refute_0_388,plain,
( op2(h3(e11),op2(e22,e22)) != op2(h3(e11),h3(e11))
| op2(op2(e22,e22),op2(e22,e22)) != op2(h3(e11),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
inference(subst,[],[refute_0_105:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(h3(e11),op2(e22,e22)))),bind(Z,$fot(op2(h3(e11),h3(e11))))]]) ).
cnf(refute_0_389,plain,
( op2(h3(e11),op2(e22,e22)) != op2(h3(e11),h3(e11))
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(h3(e11),op2(e22,e22))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),h3(e11)),
inference(resolve,[$cnf( $equal(op2(h3(e11),op2(e22,e22)),op2(h3(e11),h3(e11))) )],[refute_0_383,refute_0_389]) ).
cnf(refute_0_391,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e22),op2(e22,e22)) != op2(h3(e11),h3(e11))
| op2(h3(e11),h3(e11)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e22) ),[0],$fot(op2(h3(e11),h3(e11)))]]) ).
cnf(refute_0_392,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(h3(e11),h3(e11)) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(h3(e11),h3(e11))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
( ~ definitionFOFtoCNF_5
| op2(h3(e11),h3(e11)) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e22) )],[refute_0_379,refute_0_392]) ).
cnf(refute_0_394,plain,
( op2(h3(e11),h3(e11)) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_0_319,refute_0_393]) ).
cnf(refute_0_395,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 ),
inference(canonicalize,[],[normalize_0_81]) ).
cnf(refute_0_396,plain,
( op2(op2(e22,e21),op2(e22,e21)) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_0_319,refute_0_395]) ).
cnf(refute_0_397,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(canonicalize,[],[normalize_0_82]) ).
cnf(refute_0_398,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_0_399,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_265,refute_0_398]) ).
cnf(refute_0_400,plain,
( h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_0_397,refute_0_399]) ).
cnf(refute_0_401,plain,
( h2(e11) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_0_400,refute_0_68]) ).
cnf(refute_0_402,plain,
( op2(e23,e21) != e20
| op2(e23,e21) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e22) ),[0],$fot(e20)]]) ).
cnf(refute_0_403,plain,
( op2(e23,e21) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_0_82,refute_0_402]) ).
cnf(refute_0_404,plain,
( e20 = e22
| h2(e11) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_0_401,refute_0_403]) ).
cnf(refute_0_405,plain,
( h2(e11) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_0_404,refute_0_203]) ).
cnf(refute_0_406,plain,
( op2(e22,e21) != e22
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e21),e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),op2(e22,e21)),e21) ),[0,1],$fot(e22)]]) ).
cnf(refute_0_407,plain,
( op2(op2(e22,e21),op2(e22,e21)) != e21
| h2(e11) = e22
| op2(op2(e22,e21),e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
( h2(e11) = e22
| op2(op2(e22,e21),e22) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),op2(e22,e21)),e21) )],[refute_0_396,refute_0_407]) ).
cnf(refute_0_409,plain,
( op2(e22,e21) != e22
| op2(op2(e22,e21),e22) != e21
| op2(e22,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),e21) ),[0,0],$fot(e22)]]) ).
cnf(refute_0_410,plain,
( op2(op2(e22,e21),e22) != e21
| h2(e11) = e22
| op2(e22,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_0_405,refute_0_409]) ).
cnf(refute_0_411,plain,
( h2(e11) = e22
| op2(e22,e22) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),e21) )],[refute_0_408,refute_0_410]) ).
cnf(refute_0_412,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_0_413,plain,
( op2(e22,e22) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_130,refute_0_412]) ).
cnf(refute_0_414,plain,
( h2(e11) = e22
| h3(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_0_411,refute_0_413]) ).
cnf(refute_0_415,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e11)) != e22
| op2(h3(e11),e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e11)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_0_416,plain,
( op2(h3(e11),h3(e11)) != e22
| h2(e11) = e22
| op2(h3(e11),e21) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
( h2(e11) = e22
| op2(h3(e11),e21) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),e22) )],[refute_0_394,refute_0_416]) ).
cnf(refute_0_418,plain,
( h3(e11) != e21
| op2(h3(e11),e21) != e22
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),e21),e22) ),[0,0],$fot(e21)]]) ).
cnf(refute_0_419,plain,
( op2(h3(e11),e21) != e22
| h2(e11) = e22
| op2(e21,e21) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_414,refute_0_418]) ).
cnf(refute_0_420,plain,
( h2(e11) = e22
| op2(e21,e21) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e21),e22) )],[refute_0_417,refute_0_419]) ).
cnf(refute_0_421,plain,
( h2(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_0_420,refute_0_399]) ).
cnf(refute_0_422,plain,
( e22 != op2(e21,e22)
| h2(e11) != e22
| h2(e11) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_0_423,plain,
( e22 != op2(e21,e22)
| h2(e11) = op2(e21,e22)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
( e22 != op2(e21,e22)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e22)) )],[refute_0_423,refute_0_378]) ).
cnf(refute_0_425,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_0_83]) ).
cnf(refute_0_426,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_0_84]) ).
cnf(refute_0_427,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_0_428,plain,
( op2(e22,e22) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_130,refute_0_427]) ).
cnf(refute_0_429,plain,
( h3(e11) = e22
| op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_0_426,refute_0_428]) ).
cnf(refute_0_430,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_0_85]) ).
cnf(refute_0_431,plain,
( op2(e20,e22) != e22
| op2(e20,e23) != e22
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_0_432,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_0_65,refute_0_431]) ).
cnf(refute_0_433,plain,
op2(e20,e22) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_0_432,refute_0_430]) ).
cnf(refute_0_434,plain,
( h3(e11) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_0_429,refute_0_433]) ).
cnf(refute_0_435,plain,
( op2(e23,e20) != e22
| op2(e23,e22) != e22
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_0_436,plain,
( op2(e23,e20) != e22
| h3(e11) = e22
| op2(e21,e22) = e22
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
( op2(e23,e20) != e22
| h3(e11) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_0_436,refute_0_425]) ).
cnf(refute_0_438,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_0_86]) ).
cnf(refute_0_439,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_0_440,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_47,refute_0_439]) ).
cnf(refute_0_441,plain,
h1(e11) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_0_440,refute_0_438]) ).
cnf(refute_0_442,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_0_87]) ).
cnf(refute_0_443,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_88]) ).
cnf(refute_0_444,plain,
( op2(e23,e20) != e21
| op2(e23,e23) != e21
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_0_445,plain,
( op2(e23,e20) != e21
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_73,refute_0_444]) ).
cnf(refute_0_446,plain,
op2(e23,e20) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_0_445,refute_0_443]) ).
cnf(refute_0_447,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_0_442,refute_0_446]) ).
cnf(refute_0_448,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_0_89]) ).
cnf(refute_0_449,plain,
( op2(e23,e20) != e20
| op2(e23,e21) != e20
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_0_450,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_0_82,refute_0_449]) ).
cnf(refute_0_451,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_0_450,refute_0_448]) ).
cnf(refute_0_452,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_0_447,refute_0_451]) ).
cnf(refute_0_453,plain,
( h1(e11) != e23
| op2(e23,e20) != e23
| h1(e11) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_0_454,plain,
( h1(e11) != e23
| h1(e11) = op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
( h1(e11) != e23
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,e20)) )],[refute_0_454,refute_0_441]) ).
cnf(refute_0_456,plain,
( e23 != e23
| h1(e11) != e23
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_0_457,plain,
( e23 != e23
| h1(e11) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_360,refute_0_456]) ).
cnf(refute_0_458,plain,
( e23 != e23
| op2(e23,e20) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_457,refute_0_455]) ).
cnf(refute_0_459,plain,
( op2(e23,e20) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_171,refute_0_458]) ).
cnf(refute_0_460,plain,
( e22 != e22
| op2(e23,e20) != e22
| op2(e23,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(e22)]]) ).
cnf(refute_0_461,plain,
( e22 != e22
| op2(e23,e20) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
( e22 != e22
| h3(e11) = e22
| op2(e21,e22) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_0_461,refute_0_437]) ).
cnf(refute_0_463,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_0_464,plain,
( h3(e11) = e22
| op2(e21,e22) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_0_463,refute_0_462]) ).
cnf(refute_0_465,plain,
( e22 != e22
| op2(e21,e22) != e22
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_0_466,plain,
( e22 != e22
| e22 = op2(e21,e22)
| h3(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
( e22 != e22
| h3(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_0_466,refute_0_424]) ).
cnf(refute_0_468,plain,
( h3(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_0_463,refute_0_467]) ).
cnf(refute_0_469,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_0_90]) ).
cnf(refute_0_470,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_0_469,refute_0_413]) ).
cnf(refute_0_471,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_0_470,refute_0_159]) ).
cnf(refute_0_472,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_0_91]) ).
cnf(refute_0_473,plain,
( e23 != e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_457,refute_0_89]) ).
cnf(refute_0_474,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_171,refute_0_473]) ).
cnf(refute_0_475,plain,
( e21 != op2(e22,e21)
| op2(e20,e21) != e21
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_0_476,plain,
( e21 != op2(e22,e21)
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
( e21 != op2(e22,e21)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_0_476,refute_0_472]) ).
cnf(refute_0_478,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_0_92]) ).
cnf(refute_0_479,plain,
( op2(e22,e21) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_0_480,plain,
( op2(e22,e21) != h3(e11)
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_130,refute_0_479]) ).
cnf(refute_0_481,plain,
op2(e22,e21) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_0_480,refute_0_478]) ).
cnf(refute_0_482,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(canonicalize,[],[normalize_0_93]) ).
cnf(refute_0_483,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_0_94]) ).
cnf(refute_0_484,plain,
( op2(e22,e21) != e20
| op2(e23,e21) != e20
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_0_485,plain,
( op2(e22,e21) != e20
| op2(e22,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_0_82,refute_0_484]) ).
cnf(refute_0_486,plain,
op2(e22,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_0_485,refute_0_483]) ).
cnf(refute_0_487,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_0_482,refute_0_486]) ).
cnf(refute_0_488,plain,
( e22 != h3(e11)
| op2(e22,e21) != e22
| op2(e22,e21) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[1],$fot(h3(e11))]]) ).
cnf(refute_0_489,plain,
( e22 != h3(e11)
| op2(e22,e21) = e21
| op2(e22,e21) = e23
| op2(e22,e21) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
( e22 != h3(e11)
| op2(e22,e21) = e21
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),h3(e11)) )],[refute_0_489,refute_0_481]) ).
cnf(refute_0_491,plain,
( e22 != e22
| h3(e11) != e22
| e22 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h3(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_0_492,plain,
( e22 != e22
| e22 = h3(e11)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_0_468,refute_0_491]) ).
cnf(refute_0_493,plain,
( e22 != e22
| op2(e22,e21) = e21
| op2(e22,e21) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,h3(e11)) )],[refute_0_492,refute_0_490]) ).
cnf(refute_0_494,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_0_463,refute_0_493]) ).
cnf(refute_0_495,plain,
( e21 != e21
| op2(e22,e21) != e21
| e21 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_0_496,plain,
( e21 != e21
| e21 = op2(e22,e21)
| op2(e22,e21) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
( e21 != e21
| op2(e22,e21) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_0_496,refute_0_477]) ).
cnf(refute_0_498,plain,
( op2(e22,e21) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_314,refute_0_497]) ).
cnf(refute_0_499,plain,
( op2(e22,e21) != e21
| op2(e22,e21) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[0],$fot(e23)]]) ).
cnf(refute_0_500,plain,
( op2(e22,e21) != e21
| e23 = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
( e23 = e21
| h3(e11) = e21
| op2(e22,e20) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_0_471,refute_0_500]) ).
cnf(refute_0_502,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_0_503,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_0_502,refute_0_350]) ).
cnf(refute_0_504,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_0_501,refute_0_503]) ).
cnf(refute_0_505,plain,
( h1(e12) != op2(e22,e20)
| op2(e22,e20) != e21
| h1(e12) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e12),e21) ),[0],$fot(op2(e22,e20))]]) ).
cnf(refute_0_506,plain,
( h1(e12) != op2(e22,e20)
| h1(e12) = e21
| h3(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
( h1(e12) = e21
| h3(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e22,e20)) )],[refute_0_369,refute_0_506]) ).
cnf(refute_0_508,plain,
( h3(e11) != e21
| h3(e11) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[0],$fot(e21)]]) ).
cnf(refute_0_509,plain,
( h3(e11) != e22
| e21 = e22
| h1(e12) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
( e21 = e22
| h1(e12) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_0_468,refute_0_509]) ).
cnf(refute_0_511,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_95]) ).
cnf(refute_0_512,plain,
( e22 != op2(e23,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_0_513,plain,
( e22 != op2(e23,e23)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_0_65,refute_0_512]) ).
cnf(refute_0_514,plain,
( e22 != e21
| op2(e23,e23) != e21
| e22 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_0_515,plain,
( e22 != e21
| e22 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_73,refute_0_514]) ).
cnf(refute_0_516,plain,
( e22 != e21
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_0_515,refute_0_513]) ).
cnf(refute_0_517,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_0_516,refute_0_511]) ).
cnf(refute_0_518,plain,
( e21 != e22
| e22 = e21 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e21)),bind(Y,$fot(e22))]]) ).
cnf(refute_0_519,plain,
e21 != e22,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_0_518,refute_0_517]) ).
cnf(refute_0_520,plain,
( h1(e12) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_0_510,refute_0_519]) ).
cnf(refute_0_521,plain,
( h1(e12) != e21
| op2(op2(e22,e20),h1(e12)) != e20
| op2(op2(e22,e20),e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e20),h1(e12)),e20) ),[0,1],$fot(e21)]]) ).
cnf(refute_0_522,plain,
( op2(op2(e22,e20),h1(e12)) != e20
| op2(op2(e22,e20),e21) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
( op2(op2(e22,e20),e21) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),h1(e12)),e20) )],[refute_0_374,refute_0_522]) ).
cnf(refute_0_524,plain,
( h1(e12) != e21
| h1(e12) != op2(e22,e20)
| e21 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),op2(e22,e20)) ),[0],$fot(e21)]]) ).
cnf(refute_0_525,plain,
( h1(e12) != op2(e22,e20)
| e21 = op2(e22,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_0_520,refute_0_524]) ).
cnf(refute_0_526,plain,
( e21 = op2(e22,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e22,e20)) )],[refute_0_369,refute_0_525]) ).
cnf(refute_0_527,plain,
( e21 != op2(e22,e20)
| op2(e22,e20) = e21 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_0_528,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e20)) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
( op2(e22,e20) != e21
| op2(op2(e22,e20),e21) != e20
| op2(e21,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e20),e21),e20) ),[0,0],$fot(e21)]]) ).
cnf(refute_0_530,plain,
( op2(op2(e22,e20),e21) != e20
| op2(e21,e21) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
( op2(e21,e21) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),e21),e20) )],[refute_0_523,refute_0_530]) ).
cnf(refute_0_532,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e11)
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e11))]]) ).
cnf(refute_0_533,plain,
( op2(e21,e21) != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_265,refute_0_532]) ).
cnf(refute_0_534,plain,
( h2(e11) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_0_531,refute_0_533]) ).
cnf(refute_0_535,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_0_96]) ).
cnf(refute_0_536,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_0_537,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_265,refute_0_536]) ).
cnf(refute_0_538,plain,
h2(e11) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_0_537,refute_0_535]) ).
cnf(refute_0_539,plain,
( h2(e11) != e20
| op2(e23,e21) != e20
| h2(e11) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_0_540,plain,
( h2(e11) != e20
| h2(e11) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_0_82,refute_0_539]) ).
cnf(refute_0_541,plain,
h2(e11) != e20,
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e21)) )],[refute_0_540,refute_0_538]) ).
cnf(refute_0_542,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_0_534,refute_0_541]) ).
cnf(refute_0_543,plain,
( op2(op2(e21,e23),op2(e21,e23)) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_0_542,refute_0_260]) ).
cnf(refute_0_544,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_0_97]) ).
cnf(refute_0_545,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_98]) ).
cnf(refute_0_546,plain,
( op2(e21,e23) != e21
| op2(e23,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_0_547,plain,
( op2(e21,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_73,refute_0_546]) ).
cnf(refute_0_548,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_0_547,refute_0_545]) ).
cnf(refute_0_549,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_0_544,refute_0_548]) ).
cnf(refute_0_550,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_0_99]) ).
cnf(refute_0_551,plain,
( e22 != op2(e21,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_0_552,plain,
( e22 != op2(e21,e23)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_0_65,refute_0_551]) ).
cnf(refute_0_553,plain,
e22 != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_0_552,refute_0_550]) ).
cnf(refute_0_554,plain,
( op2(e21,e23) != e22
| e22 = op2(e21,e23) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_0_555,plain,
op2(e21,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_0_554,refute_0_553]) ).
cnf(refute_0_556,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_0_549,refute_0_555]) ).
cnf(refute_0_557,plain,
( op2(e21,e23) != e23
| op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(op2(e21,e23),e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_0_558,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(e21,e23) = e20
| op2(op2(e21,e23),e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
( op2(e21,e23) = e20
| op2(op2(e21,e23),e23) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) )],[refute_0_543,refute_0_558]) ).
cnf(refute_0_560,plain,
( op2(e21,e23) != e23
| op2(op2(e21,e23),e23) != e23
| op2(e23,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e23),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_0_561,plain,
( op2(op2(e21,e23),e23) != e23
| op2(e21,e23) = e20
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_0_556,refute_0_560]) ).
cnf(refute_0_562,plain,
( op2(e21,e23) = e20
| op2(e23,e23) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),e23) )],[refute_0_559,refute_0_561]) ).
cnf(refute_0_563,plain,
( e21 = e23
| op2(e21,e23) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_0_562,refute_0_348]) ).
cnf(refute_0_564,plain,
( op2(e21,e23) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_0_563,refute_0_350]) ).
cnf(refute_0_565,plain,
( op2(e21,e23) != e20
| op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(e20,op2(e21,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) ),[0,0],$fot(e20)]]) ).
cnf(refute_0_566,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(e20,op2(e21,e23)) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
( op2(e20,op2(e21,e23)) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) )],[refute_0_543,refute_0_566]) ).
cnf(refute_0_568,plain,
( op2(e20,op2(e21,e23)) != e23
| op2(e21,e23) != e20
| op2(e20,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e23)),e23) ),[0,1],$fot(e20)]]) ).
cnf(refute_0_569,plain,
( op2(e20,op2(e21,e23)) != e23
| op2(e20,e20) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_0_564,refute_0_568]) ).
cnf(refute_0_570,plain,
( op2(e20,e20) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),e23) )],[refute_0_567,refute_0_569]) ).
cnf(refute_0_571,plain,
( h1(e11) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_0_570,refute_0_359]) ).
cnf(refute_0_572,plain,
( e23 != e23
| h1(e11) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_571,refute_0_456]) ).
cnf(refute_0_573,plain,
( e23 != e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_572,refute_0_89]) ).
cnf(refute_0_574,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_171,refute_0_573]) ).
cnf(refute_0_575,plain,
( h1(e11) != e21
| op2(e20,e21) != e21
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_0_576,plain,
( h1(e11) != e21
| h1(e11) = op2(e20,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
( h1(e11) != e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_0_576,refute_0_50]) ).
cnf(refute_0_578,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = op2(e20,e23)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_571,refute_0_361]) ).
cnf(refute_0_579,plain,
( h1(e10) = op2(e20,e23)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_0_338,refute_0_578]) ).
cnf(refute_0_580,plain,
( h1(e10) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e23)) )],[refute_0_579,refute_0_365]) ).
cnf(refute_0_581,plain,
( h1(e12) != op2(h1(e10),e20)
| h1(e12) = op2(e22,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_0_580,refute_0_367]) ).
cnf(refute_0_582,plain,
( h1(e12) = op2(e22,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(h1(e10),e20)) )],[refute_0_331,refute_0_581]) ).
cnf(refute_0_583,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_0_100]) ).
cnf(refute_0_584,plain,
( op2(e20,e22) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_0_585,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_130,refute_0_584]) ).
cnf(refute_0_586,plain,
op2(e20,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_0_585,refute_0_583]) ).
cnf(refute_0_587,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_0_101]) ).
cnf(refute_0_588,plain,
( e21 != op2(e20,e22)
| op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_0_589,plain,
( e21 != op2(e20,e22)
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_0_574,refute_0_588]) ).
cnf(refute_0_590,plain,
( e21 != op2(e20,e22)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_0_589,refute_0_587]) ).
cnf(refute_0_591,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_0_102]) ).
cnf(refute_0_592,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_0_593,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_47,refute_0_592]) ).
cnf(refute_0_594,plain,
h1(e11) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_0_593,refute_0_591]) ).
cnf(refute_0_595,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_0_103]) ).
cnf(refute_0_596,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_0_595,refute_0_433]) ).
cnf(refute_0_597,plain,
( h1(e11) != e23
| op2(e20,e22) != e23
| h1(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_0_598,plain,
( h1(e11) != e23
| h1(e11) = op2(e20,e22)
| op2(e20,e22) = e20
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
( h1(e11) != e23
| op2(e20,e22) = e20
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_0_598,refute_0_594]) ).
cnf(refute_0_600,plain,
( e23 != e23
| op2(e20,e22) = e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_572,refute_0_599]) ).
cnf(refute_0_601,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_171,refute_0_600]) ).
cnf(refute_0_602,plain,
( e21 != e21
| op2(e20,e22) != e21
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_0_603,plain,
( e21 != e21
| e21 = op2(e20,e22)
| op2(e20,e22) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
( e21 != e21
| op2(e20,e22) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_0_603,refute_0_590]) ).
cnf(refute_0_605,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_314,refute_0_604]) ).
cnf(refute_0_606,plain,
( e20 != h3(e11)
| op2(e20,e22) != e20
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[1],$fot(h3(e11))]]) ).
cnf(refute_0_607,plain,
( e20 != h3(e11)
| op2(e20,e22) = h3(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
( e20 != h3(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_0_607,refute_0_586]) ).
cnf(refute_0_609,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_0_104]) ).
cnf(refute_0_610,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(canonicalize,[],[normalize_0_105]) ).
cnf(refute_0_611,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_0_612,plain,
( op2(e22,e22) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_130,refute_0_611]) ).
cnf(refute_0_613,plain,
( h3(e11) = e20
| op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_0_610,refute_0_612]) ).
cnf(refute_0_614,plain,
( h3(e11) = e20
| op2(e22,e20) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_0_613,refute_0_486]) ).
cnf(refute_0_615,plain,
( op2(e21,e23) != e20
| op2(e22,e23) != e20
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_0_616,plain,
( op2(e21,e23) != e20
| h3(e11) = e20
| op2(e21,e23) = op2(e22,e23)
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
( op2(e21,e23) != e20
| h3(e11) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_0_616,refute_0_609]) ).
cnf(refute_0_618,plain,
( e20 != e20
| op2(e21,e23) != e20
| op2(e21,e23) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[1],$fot(e20)]]) ).
cnf(refute_0_619,plain,
( e20 != e20
| op2(e21,e23) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_0_564,refute_0_618]) ).
cnf(refute_0_620,plain,
( e20 != e20
| h3(e11) = e20
| op2(e22,e20) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_0_619,refute_0_617]) ).
cnf(refute_0_621,plain,
( h3(e11) = e20
| op2(e22,e20) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_258,refute_0_620]) ).
cnf(refute_0_622,plain,
( op2(e22,e20) = h1(e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e22,e20)) )],[refute_0_582,refute_0_370]) ).
cnf(refute_0_623,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != h1(e12)
| h1(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(h1(e12))]]) ).
cnf(refute_0_624,plain,
( op2(e22,e20) != e20
| h1(e12) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h1(e12)) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
( h1(e12) = e20
| h3(e11) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_0_621,refute_0_624]) ).
cnf(refute_0_626,plain,
( e20 != e20
| h3(e11) != e20
| e20 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h3(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_0_627,plain,
( e20 != e20
| e20 = h3(e11)
| h1(e12) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
( e20 != e20
| h1(e12) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e20,h3(e11)) )],[refute_0_627,refute_0_608]) ).
cnf(refute_0_629,plain,
( h1(e12) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_258,refute_0_628]) ).
cnf(refute_0_630,plain,
( h1(e12) != e20
| h1(e12) != op2(e22,e20)
| e20 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),op2(e22,e20)) ),[0],$fot(e20)]]) ).
cnf(refute_0_631,plain,
( h1(e12) != op2(e22,e20)
| e20 = op2(e22,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e12),e20) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
( e20 = op2(e22,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e22,e20)) )],[refute_0_582,refute_0_631]) ).
cnf(refute_0_633,plain,
( op2(e20,e21) != e21
| op2(e22,e21) != e21
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_0_634,plain,
( op2(e20,e21) != e21
| h3(e11) = e21
| op2(e20,e21) = op2(e22,e21)
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_0_471,refute_0_633]) ).
cnf(refute_0_635,plain,
( op2(e20,e21) != e21
| h3(e11) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_0_634,refute_0_472]) ).
cnf(refute_0_636,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_0_637,plain,
( e21 != e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_0_574,refute_0_636]) ).
cnf(refute_0_638,plain,
( e21 != e21
| h3(e11) = e21
| op2(e22,e20) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_0_637,refute_0_635]) ).
cnf(refute_0_639,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_314,refute_0_638]) ).
cnf(refute_0_640,plain,
( e20 != op2(e22,e20)
| op2(e22,e20) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e21) ),[0],$fot(op2(e22,e20))]]) ).
cnf(refute_0_641,plain,
( e20 != op2(e22,e20)
| e20 = e21
| h3(e11) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
( e20 = e21
| h3(e11) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e20)) )],[refute_0_632,refute_0_641]) ).
cnf(refute_0_643,plain,
e20 != e21,
inference(canonicalize,[],[normalize_0_106]) ).
cnf(refute_0_644,plain,
( h3(e11) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e22),op2(e21,e22)) = e22 ),
inference(canonicalize,[],[normalize_0_107]) ).
cnf(refute_0_646,plain,
( ~ definitionFOFtoCNF_3
| op2(op2(e21,e22),op2(e21,e22)) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_0_259,refute_0_645]) ).
cnf(refute_0_647,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_0_542,refute_0_646]) ).
cnf(refute_0_648,plain,
( h4(e10) != h1(e11)
| op1(e10,e10) != e10
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e10)]]) ).
cnf(refute_0_649,plain,
( h4(e10) != h1(e11)
| h4(op1(e10,e10)) = h1(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_251,refute_0_648]) ).
cnf(refute_0_650,plain,
( h4(e10) != h1(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_0_649,refute_0_114]) ).
cnf(refute_0_651,plain,
( e20 != h1(e11)
| h4(e10) != e20
| h4(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(h1(e11))]]) ).
cnf(refute_0_652,plain,
( e20 != h1(e11)
| h4(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_95,refute_0_651]) ).
cnf(refute_0_653,plain,
( e20 != h1(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_0_652,refute_0_650]) ).
cnf(refute_0_654,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_0_108]) ).
cnf(refute_0_655,plain,
( h1(e11) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_654,refute_0_198]) ).
cnf(refute_0_656,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_0_657,plain,
( op2(e20,e20) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_47,refute_0_656]) ).
cnf(refute_0_658,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_0_655,refute_0_657]) ).
cnf(refute_0_659,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_0_658,refute_0_218]) ).
cnf(refute_0_660,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_0_659,refute_0_359]) ).
cnf(refute_0_661,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_0_660,refute_0_226]) ).
cnf(refute_0_662,plain,
( e20 != e20
| h1(e11) != e20
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h1(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_0_663,plain,
( e20 != e20
| e20 = h1(e11)
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
( e20 != e20
| h1(e11) = e21
| h1(e11) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_0_663,refute_0_653]) ).
cnf(refute_0_665,plain,
( h1(e11) = e21
| h1(e11) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_258,refute_0_664]) ).
cnf(refute_0_666,plain,
( e23 != e23
| h1(e11) = e21
| h1(e11) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_665,refute_0_456]) ).
cnf(refute_0_667,plain,
( e23 != e23
| h1(e11) = e21
| op2(e23,e20) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_666,refute_0_455]) ).
cnf(refute_0_668,plain,
( h1(e11) = e21
| op2(e23,e20) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_171,refute_0_667]) ).
cnf(refute_0_669,plain,
( e22 != e22
| h1(e11) = e21
| op2(e23,e20) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_0_668,refute_0_460]) ).
cnf(refute_0_670,plain,
( e22 != e22
| h1(e11) = e21
| h3(e11) = e22
| op2(e21,e22) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_0_669,refute_0_437]) ).
cnf(refute_0_671,plain,
( h1(e11) = e21
| h3(e11) = e22
| op2(e21,e22) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_0_463,refute_0_670]) ).
cnf(refute_0_672,plain,
( op2(e21,e22) != e22
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(e22,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),op2(e21,e22)),e22) ),[0,0],$fot(e22)]]) ).
cnf(refute_0_673,plain,
( op2(op2(e21,e22),op2(e21,e22)) != e22
| h1(e11) = e21
| h3(e11) = e22
| op2(e22,op2(e21,e22)) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
( h1(e11) = e21
| h3(e11) = e22
| op2(e22,op2(e21,e22)) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),op2(e21,e22)),e22) )],[refute_0_647,refute_0_673]) ).
cnf(refute_0_675,plain,
( e22 != op2(e23,e22)
| op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_0_676,plain,
( e22 != op2(e23,e22)
| op2(e23,e20) = e23
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_0_452,refute_0_675]) ).
cnf(refute_0_677,plain,
( e22 != op2(e23,e22)
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_0_676,refute_0_425]) ).
cnf(refute_0_678,plain,
( e22 != e22
| op2(e23,e22) != e22
| e22 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_0_679,plain,
( e22 != e22
| e22 = op2(e23,e22)
| h3(e11) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_0_434,refute_0_678]) ).
cnf(refute_0_680,plain,
( e22 != e22
| h3(e11) = e22
| op2(e21,e22) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e22)) )],[refute_0_679,refute_0_677]) ).
cnf(refute_0_681,plain,
( h3(e11) = e22
| op2(e21,e22) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_0_463,refute_0_680]) ).
cnf(refute_0_682,plain,
( h1(e11) != e23
| h1(e11) = op2(e23,e20)
| h3(e11) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_0_681,refute_0_453]) ).
cnf(refute_0_683,plain,
( h1(e11) != e23
| h3(e11) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,e20)) )],[refute_0_682,refute_0_441]) ).
cnf(refute_0_684,plain,
( e23 != e23
| h3(e11) = e22
| op2(e21,e22) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_572,refute_0_683]) ).
cnf(refute_0_685,plain,
( h3(e11) = e22
| op2(e21,e22) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_171,refute_0_684]) ).
cnf(refute_0_686,plain,
( op2(e21,e22) != e22
| op2(e22,op2(e21,e22)) != e22
| op2(e22,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e21,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_0_687,plain,
( op2(e22,op2(e21,e22)) != e22
| h3(e11) = e22
| op2(e22,e22) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_0_685,refute_0_686]) ).
cnf(refute_0_688,plain,
( h1(e11) = e21
| h3(e11) = e22
| op2(e22,e22) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),e22) )],[refute_0_674,refute_0_687]) ).
cnf(refute_0_689,plain,
( h1(e11) = e21
| h3(e11) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_0_688,refute_0_428]) ).
cnf(refute_0_690,plain,
( h3(e11) != e21
| h3(e11) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[0],$fot(e22)]]) ).
cnf(refute_0_691,plain,
( h3(e11) != e21
| e22 = e21
| h1(e11) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
( e22 = e21
| h1(e11) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_644,refute_0_691]) ).
cnf(refute_0_693,plain,
( h1(e11) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_0_692,refute_0_517]) ).
cnf(refute_0_694,plain,
( e21 != e21
| h1(e11) != e21
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_0_695,plain,
( e21 != e21
| h1(e11) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
( e21 != e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_0_695,refute_0_577]) ).
cnf(refute_0_697,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_314,refute_0_696]) ).
cnf(refute_0_698,plain,
( ~ definitionFOFtoCNF_0
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_0_697,refute_0_43]) ).
cnf(refute_0_699,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 ),
inference(canonicalize,[],[normalize_0_111]) ).
cnf(refute_0_700,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_0_112]) ).
cnf(refute_0_701,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_0_117]) ).
cnf(refute_0_702,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_0_703,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_0_704,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_0_702,refute_0_703]) ).
cnf(refute_0_705,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_6,refute_0_704]) ).
cnf(refute_0_706,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_0_707,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_0_708,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_6,refute_0_708]) ).
cnf(refute_0_710,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_0_105:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_0_711,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_0_705,refute_0_711]) ).
cnf(refute_0_713,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e13
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| op1(e11,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e13) ),[0],$fot(op1(e11,e11))]]) ).
cnf(refute_0_714,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e13) )],[refute_0_701,refute_0_714]) ).
cnf(refute_0_716,plain,
( op1(e10,e11) != e13
| op1(e11,e11) != e13
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_0_717,plain,
( op1(e10,e11) != e13
| op1(e10,e11) = op1(e11,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
( op1(e10,e11) != e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_0_717,refute_0_700]) ).
cnf(refute_0_719,plain,
( e13 != e13
| op1(e10,e11) != e13
| op1(e10,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_0_720,plain,
( e13 != e13
| op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_0_39,refute_0_719]) ).
cnf(refute_0_721,plain,
( e13 != e13
| op1(e10,e11) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_0_720,refute_0_718]) ).
cnf(refute_0_722,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_0_723,plain,
( op1(e10,e11) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_722,refute_0_721]) ).
cnf(refute_0_724,plain,
( op1(e10,e10) != e11
| op1(e10,e11) != e11
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_0_725,plain,
( op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
( op1(e10,e10) != e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_0_725,refute_0_14]) ).
cnf(refute_0_727,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_0_118]) ).
cnf(refute_0_728,plain,
op1(e10,op1(e13,e11)) = op1(e10,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e11)))]]) ).
cnf(refute_0_729,plain,
( op1(e10,op1(e13,e11)) != op1(e10,op1(e13,e11))
| op1(e13,e11) != e10
| op1(e10,op1(e13,e11)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,op1(e13,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_0_730,plain,
( op1(e13,e11) != e10
| op1(e10,op1(e13,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,op1(e13,e11))) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
op1(e10,op1(e13,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_0_35,refute_0_730]) ).
cnf(refute_0_732,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(op1(e13,e11),op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e11),op1(e13,e11)))]]) ).
cnf(refute_0_733,plain,
( op1(e13,e11) != e10
| op1(op1(e13,e11),op1(e13,e11)) != op1(op1(e13,e11),op1(e13,e11))
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(op1(e13,e11),op1(e13,e11))) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_734,plain,
( op1(e13,e11) != e10
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(op1(e13,e11),op1(e13,e11))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_0_35,refute_0_734]) ).
cnf(refute_0_736,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e10)
| op1(op1(e13,e11),op1(e13,e11)) != op1(e10,op1(e13,e11))
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10) ),
inference(subst,[],[refute_0_105:[bind(X,$fot(op1(op1(e13,e11),op1(e13,e11)))),bind(Y,$fot(op1(e10,op1(e13,e11)))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_0_737,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e10)
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(e10,op1(e13,e11))) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,e10)) )],[refute_0_731,refute_0_737]) ).
cnf(refute_0_739,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| op1(op1(e13,e11),op1(e13,e11)) != op1(e10,e10)
| op1(e10,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),e11) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_0_740,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(e10,e10)) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
( op1(e10,e10) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),e11) )],[refute_0_727,refute_0_740]) ).
cnf(refute_0_742,plain,
( e11 != e11
| op1(e10,e10) != e11
| op1(e10,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(e11)]]) ).
cnf(refute_0_743,plain,
( e11 != e11
| op1(e10,e10) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_0_741,refute_0_742]) ).
cnf(refute_0_744,plain,
( e11 != e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_0_743,refute_0_726]) ).
cnf(refute_0_745,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_0_746,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_745,refute_0_744]) ).
cnf(refute_0_747,plain,
( op1(op1(e12,e13),op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_0_746,refute_0_699]) ).
cnf(refute_0_748,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_0_119]) ).
cnf(refute_0_749,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_0_120]) ).
cnf(refute_0_750,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_0_121]) ).
cnf(refute_0_751,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_0_752,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_6,refute_0_751]) ).
cnf(refute_0_753,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_0_752,refute_0_750]) ).
cnf(refute_0_754,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_0_749,refute_0_753]) ).
cnf(refute_0_755,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_0_122]) ).
cnf(refute_0_756,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_0_757,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_0_28,refute_0_756]) ).
cnf(refute_0_758,plain,
e12 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_0_757,refute_0_755]) ).
cnf(refute_0_759,plain,
( op1(e12,e13) != e12
| e12 = op1(e12,e13) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_0_760,plain,
op1(e12,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_0_759,refute_0_758]) ).
cnf(refute_0_761,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_0_754,refute_0_760]) ).
cnf(refute_0_762,plain,
( op1(e11,e13) != e13
| op1(e12,e13) != e13
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_0_763,plain,
( op1(e11,e13) != e13
| op1(e11,e13) = op1(e12,e13)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_0_761,refute_0_762]) ).
cnf(refute_0_764,plain,
( op1(e11,e13) != e13
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_0_763,refute_0_748]) ).
cnf(refute_0_765,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_0_123]) ).
cnf(refute_0_766,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e12)]]) ).
cnf(refute_0_767,plain,
( op1(e10,e13) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_0_28,refute_0_766]) ).
cnf(refute_0_768,plain,
( e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_0_765,refute_0_767]) ).
cnf(refute_0_769,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_0_770,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_6,refute_0_769]) ).
cnf(refute_0_771,plain,
( e11 = e13
| e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_0_768,refute_0_770]) ).
cnf(refute_0_772,plain,
e11 != e13,
inference(canonicalize,[],[normalize_0_124]) ).
cnf(refute_0_773,plain,
( e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_771,refute_0_772]) ).
cnf(refute_0_774,plain,
e12 != e13,
inference(canonicalize,[],[normalize_0_125]) ).
cnf(refute_0_775,plain,
( op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
( op1(e12,e13) != e13
| op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(op1(e12,e13),e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_0_777,plain,
( op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e11,e13) = e13
| op1(op1(e12,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_0_775,refute_0_776]) ).
cnf(refute_0_778,plain,
( op1(e11,e13) = e13
| op1(op1(e12,e13),e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) )],[refute_0_747,refute_0_777]) ).
cnf(refute_0_779,plain,
( op1(e12,e13) != e13
| op1(op1(e12,e13),e13) != e13
| op1(e13,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_0_780,plain,
( op1(op1(e12,e13),e13) != e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_0_775,refute_0_779]) ).
cnf(refute_0_781,plain,
( op1(e11,e13) = e13
| op1(e13,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),e13) )],[refute_0_778,refute_0_780]) ).
cnf(refute_0_782,plain,
( e11 = e13
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_0_781,refute_0_770]) ).
cnf(refute_0_783,plain,
( op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_782,refute_0_772]) ).
cnf(refute_0_784,plain,
( e13 != e13
| op1(e11,e13) != e13
| op1(e11,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_0_785,plain,
( e13 != e13
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_785,refute_0_764]) ).
cnf(refute_0_787,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_722,refute_0_786]) ).
cnf(refute_0_788,plain,
( op1(e12,e13) != e10
| op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e10,op1(e12,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) ),[0,0],$fot(e10)]]) ).
cnf(refute_0_789,plain,
( op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e10,op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
( op1(e10,op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) )],[refute_0_747,refute_0_789]) ).
cnf(refute_0_791,plain,
( op1(e10,op1(e12,e13)) != e13
| op1(e12,e13) != e10
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e13)),e13) ),[0,1],$fot(e10)]]) ).
cnf(refute_0_792,plain,
( op1(e10,op1(e12,e13)) != e13
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_0_787,refute_0_791]) ).
cnf(refute_0_793,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e13)),e13) )],[refute_0_790,refute_0_792]) ).
cnf(refute_0_794,plain,
( e13 != e13
| op1(e10,e10) != e13
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(e13)]]) ).
cnf(refute_0_795,plain,
( e13 != e13
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
( e13 != e13
| op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_795,refute_0_42]) ).
cnf(refute_0_797,plain,
( op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_722,refute_0_796]) ).
cnf(refute_0_798,plain,
( op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_0_797,refute_0_724]) ).
cnf(refute_0_799,plain,
( op1(e10,e10) != e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_0_798,refute_0_14]) ).
cnf(refute_0_800,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_0_126]) ).
cnf(refute_0_801,plain,
op1(e10,e11) != op1(e10,e12),
inference(canonicalize,[],[normalize_0_127]) ).
cnf(refute_0_802,plain,
( e11 != op1(e10,e12)
| op1(e10,e11) != e11
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_0_803,plain,
( e11 != op1(e10,e12)
| op1(e10,e11) = op1(e10,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_0_797,refute_0_802]) ).
cnf(refute_0_804,plain,
( e11 != op1(e10,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_0_803,refute_0_801]) ).
cnf(refute_0_805,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_0_128]) ).
cnf(refute_0_806,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_0_129]) ).
cnf(refute_0_807,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_0_130]) ).
cnf(refute_0_808,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_0_131]) ).
cnf(refute_0_809,plain,
( op1(e13,e10) != e11
| op1(e13,e13) != e11
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_0_810,plain,
( op1(e13,e10) != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_6,refute_0_809]) ).
cnf(refute_0_811,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_0_810,refute_0_808]) ).
cnf(refute_0_812,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_0_807,refute_0_811]) ).
cnf(refute_0_813,plain,
op1(e13,e10) != op1(e13,e11),
inference(canonicalize,[],[normalize_0_132]) ).
cnf(refute_0_814,plain,
( op1(e13,e10) != e10
| op1(e13,e11) != e10
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_0_815,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_0_35,refute_0_814]) ).
cnf(refute_0_816,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_0_815,refute_0_813]) ).
cnf(refute_0_817,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_0_812,refute_0_816]) ).
cnf(refute_0_818,plain,
( op1(e10,e10) != e13
| op1(e13,e10) != e13
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e13,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_0_819,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_0_817,refute_0_818]) ).
cnf(refute_0_820,plain,
( op1(e10,e10) != e13
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_0_819,refute_0_806]) ).
cnf(refute_0_821,plain,
( e13 != e13
| op1(e13,e10) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_795,refute_0_820]) ).
cnf(refute_0_822,plain,
( op1(e13,e10) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_722,refute_0_821]) ).
cnf(refute_0_823,plain,
( e12 != op1(e13,e12)
| op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_0_824,plain,
( e12 != op1(e13,e12)
| op1(e13,e10) = op1(e13,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_0_822,refute_0_823]) ).
cnf(refute_0_825,plain,
( e12 != op1(e13,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_0_824,refute_0_805]) ).
cnf(refute_0_826,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_0_133]) ).
cnf(refute_0_827,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_0_134]) ).
cnf(refute_0_828,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_0_135]) ).
cnf(refute_0_829,plain,
( op1(e13,e12) != e11
| op1(e13,e13) != e11
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_0_830,plain,
( op1(e13,e12) != e11
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_6,refute_0_829]) ).
cnf(refute_0_831,plain,
op1(e13,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_0_830,refute_0_828]) ).
cnf(refute_0_832,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_0_827,refute_0_831]) ).
cnf(refute_0_833,plain,
op1(e13,e11) != op1(e13,e12),
inference(canonicalize,[],[normalize_0_136]) ).
cnf(refute_0_834,plain,
( e10 != op1(e13,e12)
| op1(e13,e11) != e10
| op1(e13,e11) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e10) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_0_835,plain,
( e10 != op1(e13,e12)
| op1(e13,e11) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_0_35,refute_0_834]) ).
cnf(refute_0_836,plain,
e10 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e12)) )],[refute_0_835,refute_0_833]) ).
cnf(refute_0_837,plain,
( op1(e13,e12) != e10
| e10 = op1(e13,e12) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e10))]]) ).
cnf(refute_0_838,plain,
op1(e13,e12) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_0_837,refute_0_836]) ).
cnf(refute_0_839,plain,
( op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_832,refute_0_838]) ).
cnf(refute_0_840,plain,
( op1(e10,e12) != e13
| op1(e13,e12) != e13
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_0_841,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e13,e12)
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
( op1(e10,e12) != e13
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_0_841,refute_0_826]) ).
cnf(refute_0_843,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_0_137]) ).
cnf(refute_0_844,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_0_138]) ).
cnf(refute_0_845,plain,
( op1(e10,e12) != e12
| op1(e10,e13) != e12
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_0_846,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_0_28,refute_0_845]) ).
cnf(refute_0_847,plain,
op1(e10,e12) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_0_846,refute_0_844]) ).
cnf(refute_0_848,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_843,refute_0_847]) ).
cnf(refute_0_849,plain,
( e13 != e13
| op1(e10,e12) != e13
| op1(e10,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e13) ),[1],$fot(e13)]]) ).
cnf(refute_0_850,plain,
( e13 != e13
| op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_0_848,refute_0_849]) ).
cnf(refute_0_851,plain,
( e13 != e13
| op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_0_850,refute_0_842]) ).
cnf(refute_0_852,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_722,refute_0_851]) ).
cnf(refute_0_853,plain,
( e12 != e12
| op1(e13,e12) != e12
| e12 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_0_854,plain,
( e12 != e12
| e12 = op1(e13,e12)
| op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_0_852,refute_0_853]) ).
cnf(refute_0_855,plain,
( e12 != e12
| op1(e10,e12) = e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e12)) )],[refute_0_854,refute_0_825]) ).
cnf(refute_0_856,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_0_857,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_856,refute_0_855]) ).
cnf(refute_0_858,plain,
( e11 != e11
| op1(e10,e12) != e11
| e11 = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_0_859,plain,
( e11 != e11
| e11 = op1(e10,e12)
| op1(e10,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
( e11 != e11
| op1(e10,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,op1(e10,e12)) )],[refute_0_859,refute_0_804]) ).
cnf(refute_0_861,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_745,refute_0_860]) ).
cnf(refute_0_862,plain,
( e10 != op1(e11,e12)
| op1(e10,e12) != e10
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_0_863,plain,
( e10 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
( e10 != op1(e11,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_0_863,refute_0_800]) ).
cnf(refute_0_865,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(canonicalize,[],[normalize_0_139]) ).
cnf(refute_0_866,plain,
op1(e11,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_0_140]) ).
cnf(refute_0_867,plain,
( op1(e11,e11) != e10
| op1(e13,e11) != e10
| op1(e11,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_0_868,plain,
( op1(e11,e11) != e10
| op1(e11,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_0_35,refute_0_867]) ).
cnf(refute_0_869,plain,
op1(e11,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,e11)) )],[refute_0_868,refute_0_866]) ).
cnf(refute_0_870,plain,
( op1(e11,e10) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_865,refute_0_869]) ).
cnf(refute_0_871,plain,
( op1(e11,e13) != e10
| op1(e11,e13) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e10) ),[0],$fot(e13)]]) ).
cnf(refute_0_872,plain,
( op1(e11,e13) != e10
| e13 = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_783,refute_0_871]) ).
cnf(refute_0_873,plain,
( e13 = e10
| op1(e11,e10) = e10
| op1(e11,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_0_870,refute_0_872]) ).
cnf(refute_0_874,plain,
e10 != e13,
inference(canonicalize,[],[normalize_0_141]) ).
cnf(refute_0_875,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_0_876,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_0_875,refute_0_874]) ).
cnf(refute_0_877,plain,
( op1(e11,e10) = e10
| op1(e11,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_0_873,refute_0_876]) ).
cnf(refute_0_878,plain,
( e10 != e10
| op1(e11,e12) != e10
| e10 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_0_879,plain,
( e10 != e10
| e10 = op1(e11,e12)
| op1(e11,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_0_877,refute_0_878]) ).
cnf(refute_0_880,plain,
( e10 != e10
| op1(e11,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_0_879,refute_0_864]) ).
cnf(refute_0_881,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_0_882,plain,
( op1(e11,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_0_881,refute_0_880]) ).
cnf(refute_0_883,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 ),
inference(canonicalize,[],[normalize_0_142]) ).
cnf(refute_0_884,plain,
( op1(op1(e12,e10),op1(e12,e10)) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_0_746,refute_0_883]) ).
cnf(refute_0_885,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(canonicalize,[],[normalize_0_143]) ).
cnf(refute_0_886,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_0_885,refute_0_811]) ).
cnf(refute_0_887,plain,
( op1(e12,e10) != e11
| op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(e11,op1(e12,e10)) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),op1(e12,e10)),e10) ),[0,0],$fot(e11)]]) ).
cnf(refute_0_888,plain,
( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e11,op1(e12,e10)) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_0_886,refute_0_887]) ).
cnf(refute_0_889,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e11,op1(e12,e10)) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),op1(e12,e10)),e10) )],[refute_0_884,refute_0_888]) ).
cnf(refute_0_890,plain,
( op1(e11,op1(e12,e10)) != e10
| op1(e12,e10) != e11
| op1(e11,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e10)),e10) ),[0,1],$fot(e11)]]) ).
cnf(refute_0_891,plain,
( op1(e11,op1(e12,e10)) != e10
| op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_0_886,refute_0_890]) ).
cnf(refute_0_892,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e11,e11) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e10)),e10) )],[refute_0_889,refute_0_891]) ).
cnf(refute_0_893,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_892,refute_0_869]) ).
cnf(refute_0_894,plain,
( op1(e11,e10) != e10
| op1(e11,e10) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e10) ),[0],$fot(e11)]]) ).
cnf(refute_0_895,plain,
( op1(e11,e10) != e10
| e11 = e10
| op1(e10,e10) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_893,refute_0_894]) ).
cnf(refute_0_896,plain,
( e11 = e10
| op1(e10,e10) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_0_882,refute_0_895]) ).
cnf(refute_0_897,plain,
e10 != e11,
inference(canonicalize,[],[normalize_0_144]) ).
cnf(refute_0_898,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_0_899,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_898,refute_0_897]) ).
cnf(refute_0_900,plain,
( op1(e10,e10) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_0_896,refute_0_899]) ).
cnf(refute_0_901,plain,
( e11 != e11
| op1(e10,e10) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_0_900,refute_0_742]) ).
cnf(refute_0_902,plain,
( e11 != e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_0_901,refute_0_799]) ).
cnf(refute_0_903,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_745,refute_0_902]) ).
cnf(refute_0_904,plain,
op1(op1(e11,e13),op1(e11,e13)) = e13,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_0_903,refute_0_698]) ).
cnf(refute_0_905,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_0_145]) ).
cnf(refute_0_906,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_0_146]) ).
cnf(refute_0_907,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_0_908,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_6,refute_0_907]) ).
cnf(refute_0_909,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_0_908,refute_0_906]) ).
cnf(refute_0_910,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_0_905,refute_0_909]) ).
cnf(refute_0_911,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_0_147]) ).
cnf(refute_0_912,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_0_913,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_0_28,refute_0_912]) ).
cnf(refute_0_914,plain,
e12 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_0_913,refute_0_911]) ).
cnf(refute_0_915,plain,
( op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_0_916,plain,
op1(e11,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_0_915,refute_0_914]) ).
cnf(refute_0_917,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_0_910,refute_0_916]) ).
cnf(refute_0_918,plain,
( op1(e11,e13) != e13
| op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(op1(e11,e13),e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_0_919,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(e11,e13) = e10
| op1(op1(e11,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
( op1(e11,e13) = e10
| op1(op1(e11,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) )],[refute_0_904,refute_0_919]) ).
cnf(refute_0_921,plain,
( op1(e11,e13) != e13
| op1(op1(e11,e13),e13) != e13
| op1(e13,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_0_922,plain,
( op1(op1(e11,e13),e13) != e13
| op1(e11,e13) = e10
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_917,refute_0_921]) ).
cnf(refute_0_923,plain,
( op1(e11,e13) = e10
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),e13) )],[refute_0_920,refute_0_922]) ).
cnf(refute_0_924,plain,
( e11 = e13
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_0_923,refute_0_770]) ).
cnf(refute_0_925,plain,
op1(e11,e13) = e10,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_924,refute_0_772]) ).
cnf(refute_0_926,plain,
op1(e10,op1(e11,e13)) = op1(e10,op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e11,e13)))]]) ).
cnf(refute_0_927,plain,
( op1(e10,op1(e11,e13)) != op1(e10,op1(e11,e13))
| op1(e11,e13) != e10
| op1(e10,op1(e11,e13)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,op1(e11,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_0_928,plain,
( op1(e11,e13) != e10
| op1(e10,op1(e11,e13)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,op1(e11,e13))) )],[refute_0_926,refute_0_927]) ).
cnf(refute_0_929,plain,
op1(e10,op1(e11,e13)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_0_925,refute_0_928]) ).
cnf(refute_0_930,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(op1(e11,e13),op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e11,e13),op1(e11,e13)))]]) ).
cnf(refute_0_931,plain,
( op1(e11,e13) != e10
| op1(op1(e11,e13),op1(e11,e13)) != op1(op1(e11,e13),op1(e11,e13))
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(op1(e11,e13),op1(e11,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_932,plain,
( op1(e11,e13) != e10
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(op1(e11,e13),op1(e11,e13))) )],[refute_0_930,refute_0_931]) ).
cnf(refute_0_933,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_0_925,refute_0_932]) ).
cnf(refute_0_934,plain,
( op1(e10,op1(e11,e13)) != op1(e10,e10)
| op1(op1(e11,e13),op1(e11,e13)) != op1(e10,op1(e11,e13))
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10) ),
inference(subst,[],[refute_0_105:[bind(X,$fot(op1(op1(e11,e13),op1(e11,e13)))),bind(Y,$fot(op1(e10,op1(e11,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_0_935,plain,
( op1(e10,op1(e11,e13)) != op1(e10,e10)
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(e10,op1(e11,e13))) )],[refute_0_933,refute_0_934]) ).
cnf(refute_0_936,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,e10)) )],[refute_0_929,refute_0_935]) ).
cnf(refute_0_937,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(op1(e11,e13),op1(e11,e13)) != op1(e10,e10)
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_0_938,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(e10,e10)) )],[refute_0_936,refute_0_937]) ).
cnf(refute_0_939,plain,
op1(e10,e10) = e13,
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) )],[refute_0_904,refute_0_938]) ).
cnf(refute_0_940,plain,
( e13 != e13
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_939,refute_0_794]) ).
cnf(refute_0_941,plain,
( e13 != e13
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_940,refute_0_42]) ).
cnf(refute_0_942,plain,
op1(e10,e11) = e11,
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_722,refute_0_941]) ).
cnf(refute_0_943,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e10),op1(e11,e10)) = e10 ),
inference(canonicalize,[],[normalize_0_148]) ).
cnf(refute_0_944,plain,
( ~ definitionFOFtoCNF_0
| op1(op1(e11,e10),op1(e11,e10)) = e10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_0_697,refute_0_943]) ).
cnf(refute_0_945,plain,
op1(op1(e11,e10),op1(e11,e10)) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_0_903,refute_0_944]) ).
cnf(refute_0_946,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_0_149]) ).
cnf(refute_0_947,plain,
( op1(e12,e11) != e13
| op1(e12,e13) != e13
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_0_948,plain,
( op1(e12,e11) != e13
| op1(e11,e13) = e13
| op1(e12,e11) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_0_775,refute_0_947]) ).
cnf(refute_0_949,plain,
( op1(e12,e11) != e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_0_948,refute_0_946]) ).
cnf(refute_0_950,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_0_150]) ).
cnf(refute_0_951,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).
cnf(refute_0_952,plain,
( op1(e13,e11) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_0_35,refute_0_951]) ).
cnf(refute_0_953,plain,
( e10 = e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_0_950,refute_0_952]) ).
cnf(refute_0_954,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_0_953,refute_0_874]) ).
cnf(refute_0_955,plain,
( e13 != e13
| op1(e12,e11) != e13
| op1(e12,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_0_956,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_0_954,refute_0_955]) ).
cnf(refute_0_957,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_0_956,refute_0_949]) ).
cnf(refute_0_958,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_722,refute_0_957]) ).
cnf(refute_0_959,plain,
( op1(e10,e11) != e11
| op1(e10,e11) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e11)]]) ).
cnf(refute_0_960,plain,
( op1(e10,e11) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_0_942,refute_0_959]) ).
cnf(refute_0_961,plain,
( e11 = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_0_958,refute_0_960]) ).
cnf(refute_0_962,plain,
( op1(e11,e13) != e10
| op1(e11,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_0_963,plain,
( op1(e11,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_0_925,refute_0_962]) ).
cnf(refute_0_964,plain,
( e10 = e13
| e11 = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_961,refute_0_963]) ).
cnf(refute_0_965,plain,
( e11 = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_0_964,refute_0_874]) ).
cnf(refute_0_966,plain,
op1(e11,e11) = e13,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_965,refute_0_772]) ).
cnf(refute_0_967,plain,
( op1(e10,e10) != e11
| op1(e10,e10) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[0],$fot(e13)]]) ).
cnf(refute_0_968,plain,
( op1(e10,e10) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_939,refute_0_967]) ).
cnf(refute_0_969,plain,
( e13 = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_0_886,refute_0_968]) ).
cnf(refute_0_970,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(canonicalize,[],[normalize_0_151]) ).
cnf(refute_0_971,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_0_970,refute_0_816]) ).
cnf(refute_0_972,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0],$fot(e13)]]) ).
cnf(refute_0_973,plain,
( op1(e10,e10) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_939,refute_0_972]) ).
cnf(refute_0_974,plain,
( e13 = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_971,refute_0_973]) ).
cnf(refute_0_975,plain,
( op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_0_974,refute_0_876]) ).
cnf(refute_0_976,plain,
op1(e11,e10) != op1(e11,e13),
inference(canonicalize,[],[normalize_0_152]) ).
cnf(refute_0_977,plain,
( op1(e11,e10) != e10
| op1(e11,e13) != e10
| op1(e11,e10) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_0_978,plain,
( op1(e11,e10) != e10
| op1(e11,e10) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_0_925,refute_0_977]) ).
cnf(refute_0_979,plain,
op1(e11,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e13)) )],[refute_0_978,refute_0_976]) ).
cnf(refute_0_980,plain,
op1(e12,e10) = e10,
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_0_975,refute_0_979]) ).
cnf(refute_0_981,plain,
( op1(e12,e10) != e10
| op1(e12,e10) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e11) ),[0],$fot(e10)]]) ).
cnf(refute_0_982,plain,
( op1(e12,e10) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_0_980,refute_0_981]) ).
cnf(refute_0_983,plain,
( e10 = e11
| e13 = e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_0_969,refute_0_982]) ).
cnf(refute_0_984,plain,
( e13 = e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_983,refute_0_897]) ).
cnf(refute_0_985,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_0_986,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_985,refute_0_772]) ).
cnf(refute_0_987,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_0_984,refute_0_986]) ).
cnf(refute_0_988,plain,
op1(e11,op1(e11,e10)) = op1(e11,op1(e11,e10)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e10)))]]) ).
cnf(refute_0_989,plain,
( op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) != op1(e11,op1(e11,e10))
| op1(e11,op1(e11,e10)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e10)),op1(e11,op1(e11,e10))) ),[1,1],$fot(e11)]]) ).
cnf(refute_0_990,plain,
( op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e10)),op1(e11,op1(e11,e10))) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
op1(e11,op1(e11,e10)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_987,refute_0_990]) ).
cnf(refute_0_992,plain,
op1(op1(e11,e10),op1(e11,e10)) = op1(op1(e11,e10),op1(e11,e10)),
introduced(tautology,[refl,[$fot(op1(op1(e11,e10),op1(e11,e10)))]]) ).
cnf(refute_0_993,plain,
( op1(e11,e10) != e11
| op1(op1(e11,e10),op1(e11,e10)) != op1(op1(e11,e10),op1(e11,e10))
| op1(op1(e11,e10),op1(e11,e10)) = op1(e11,op1(e11,e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),op1(op1(e11,e10),op1(e11,e10))) ),[1,0],$fot(e11)]]) ).
cnf(refute_0_994,plain,
( op1(e11,e10) != e11
| op1(op1(e11,e10),op1(e11,e10)) = op1(e11,op1(e11,e10)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),op1(op1(e11,e10),op1(e11,e10))) )],[refute_0_992,refute_0_993]) ).
cnf(refute_0_995,plain,
op1(op1(e11,e10),op1(e11,e10)) = op1(e11,op1(e11,e10)),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_987,refute_0_994]) ).
cnf(refute_0_996,plain,
( op1(e11,op1(e11,e10)) != op1(e11,e11)
| op1(op1(e11,e10),op1(e11,e10)) != op1(e11,op1(e11,e10))
| op1(op1(e11,e10),op1(e11,e10)) = op1(e11,e11) ),
inference(subst,[],[refute_0_105:[bind(X,$fot(op1(op1(e11,e10),op1(e11,e10)))),bind(Y,$fot(op1(e11,op1(e11,e10)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_0_997,plain,
( op1(e11,op1(e11,e10)) != op1(e11,e11)
| op1(op1(e11,e10),op1(e11,e10)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),op1(e11,op1(e11,e10))) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
op1(op1(e11,e10),op1(e11,e10)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e10)),op1(e11,e11)) )],[refute_0_991,refute_0_997]) ).
cnf(refute_0_999,plain,
( op1(e11,e11) != e13
| op1(op1(e11,e10),op1(e11,e10)) != op1(e11,e11)
| op1(op1(e11,e10),op1(e11,e10)) = e13 ),
inference(subst,[],[refute_0_105:[bind(X,$fot(op1(op1(e11,e10),op1(e11,e10)))),bind(Y,$fot(op1(e11,e11))),bind(Z,$fot(e13))]]) ).
cnf(refute_0_1000,plain,
( op1(e11,e11) != e13
| op1(op1(e11,e10),op1(e11,e10)) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),op1(e11,e11)) )],[refute_0_998,refute_0_999]) ).
cnf(refute_0_1001,plain,
op1(op1(e11,e10),op1(e11,e10)) = e13,
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_0_966,refute_0_1000]) ).
cnf(refute_0_1002,plain,
( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e10),op1(e11,e10)) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),e10) ),[0],$fot(e13)]]) ).
cnf(refute_0_1003,plain,
( op1(op1(e11,e10),op1(e11,e10)) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),e13) )],[refute_0_1001,refute_0_1002]) ).
cnf(refute_0_1004,plain,
e13 = e10,
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),e10) )],[refute_0_945,refute_0_1003]) ).
cnf(refute_0_1005,plain,
op1(e13,e11) = op1(e13,e11),
introduced(tautology,[refl,[$fot(op1(e13,e11))]]) ).
cnf(refute_0_1006,plain,
( e13 != e10
| op1(e13,e11) != op1(e13,e11)
| op1(e13,e11) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),op1(e13,e11)) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_1007,plain,
( e13 != e10
| op1(e13,e11) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e11)) )],[refute_0_1005,refute_0_1006]) ).
cnf(refute_0_1008,plain,
op1(e13,e11) = op1(e10,e11),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_0_1004,refute_0_1007]) ).
cnf(refute_0_1009,plain,
( op1(e10,e11) != e11
| op1(e13,e11) != op1(e10,e11)
| op1(e13,e11) = e11 ),
inference(subst,[],[refute_0_105:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(op1(e10,e11))),bind(Z,$fot(e11))]]) ).
cnf(refute_0_1010,plain,
( op1(e10,e11) != e11
| op1(e13,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e11)) )],[refute_0_1008,refute_0_1009]) ).
cnf(refute_0_1011,plain,
op1(e13,e11) = e11,
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_0_942,refute_0_1010]) ).
cnf(refute_0_1012,plain,
( e10 != op1(e13,e11)
| op1(e13,e11) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,e11) ),[0],$fot(op1(e13,e11))]]) ).
cnf(refute_0_1013,plain,
( e10 != op1(e13,e11)
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_0_1011,refute_0_1012]) ).
cnf(refute_0_1014,plain,
e10 = e11,
inference(resolve,[$cnf( $equal(e10,op1(e13,e11)) )],[refute_0_13,refute_0_1013]) ).
cnf(refute_0_1015,plain,
$false,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_1014,refute_0_897]) ).
fof(negate_1_0,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 )
& ( 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)) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_1_1,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_3,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_1_4,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_1_6,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_1_8,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_1_2,normalize_1_4,normalize_1_6,normalize_1_8]) ).
fof(normalize_1_10,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_12,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_1_13,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_1_15,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_1_17,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_18,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,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) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_1_19,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_20,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_21,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_22,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_23,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_1_14]) ).
fof(normalize_1_24,plain,
op1(e10,e10) != op1(e10,e11),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_25,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_26,plain,
op1(e10,e11) != op1(e10,e13),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_27,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_28,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,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) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_1_29,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_30,plain,
h4(op1(e10,e11)) != op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_31,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_1_32,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(conjunct,[],[normalize_1_31]) ).
fof(normalize_1_33,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_34,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_1_14]) ).
fof(normalize_1_35,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_36,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_37,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_1_31]) ).
fof(normalize_1_38,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_39,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_1_40,plain,
e11 != e13,
inference(conjunct,[],[normalize_1_39]) ).
fof(normalize_1_41,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_42,plain,
e10 != e13,
inference(conjunct,[],[normalize_1_39]) ).
fof(normalize_1_43,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_1_44,plain,
e20 != e23,
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_45,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13 )
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_1_46,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_1_47,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13 ) ) ),
inference(simplify,[],[normalize_1_45,normalize_1_46]) ).
fof(normalize_1_48,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e10),op1(e11,e10)) = e10 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e11),op1(e11,e11)) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e12),op1(e11,e12)) = e12 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 )
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_1_47]) ).
fof(normalize_1_49,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(conjunct,[],[normalize_1_48]) ).
fof(normalize_1_50,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_1_51,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_1_52,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(simplify,[],[normalize_1_50,normalize_1_51]) ).
fof(normalize_1_53,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e22),op2(e21,e22)) = e22 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_1_52]) ).
fof(normalize_1_54,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(conjunct,[],[normalize_1_53]) ).
fof(normalize_1_55,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_56,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_57,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_58,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_59,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e11),op1(e10,e11)) = e11
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_1_46]) ).
fof(normalize_1_60,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_1_59]) ).
fof(normalize_1_61,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_62,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_63,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_64,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_65,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_66,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_67,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_68,plain,
( ( 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(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_1_69,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_1_68]) ).
fof(normalize_1_70,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_71,plain,
h3(e11) = op2(e22,e22),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_72,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e21),op2(e20,e21)) = e21
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_1_51]) ).
fof(normalize_1_73,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_1_72]) ).
fof(normalize_1_74,plain,
( ( 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(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_1_75,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_1_74]) ).
fof(normalize_1_76,plain,
e22 != e23,
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_77,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_78,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_79,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_1_31]) ).
fof(normalize_1_80,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_81,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_82,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_1_31]) ).
fof(normalize_1_83,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_84,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_85,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23 ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_1_86,plain,
( ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e22),op2(e22,e22)) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 )
& ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_1_85]) ).
fof(normalize_1_87,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference(conjunct,[],[normalize_1_86]) ).
fof(normalize_1_88,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_89,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_90,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_1_91,plain,
( definitionFOFtoCNF_3
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_1_90,normalize_1_52,normalize_1_51]) ).
fof(normalize_1_92,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_1_91,normalize_1_85]) ).
fof(normalize_1_93,plain,
( ( op2(op2(e23,e20),op2(e23,e20)) = e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e22
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_1_92]) ).
fof(normalize_1_94,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_1_93]) ).
fof(normalize_1_95,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_1_93]) ).
fof(normalize_1_96,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_97,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_1_31]) ).
fof(normalize_1_98,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_99,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_100,plain,
op2(e21,e22) != op2(e21,e23),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_101,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_1_31]) ).
fof(normalize_1_102,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_103,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_104,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(conjunct,[],[normalize_1_74]) ).
fof(normalize_1_105,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_106,plain,
op2(e20,e20) != op2(e21,e20),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_107,plain,
e21 != e23,
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_108,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_109,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_1_74]) ).
fof(normalize_1_110,plain,
e20 != e22,
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_111,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_112,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(conjunct,[],[normalize_1_74]) ).
fof(normalize_1_113,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_114,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_1_31]) ).
fof(normalize_1_115,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_116,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_117,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_1_74]) ).
fof(normalize_1_118,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(conjunct,[],[normalize_1_74]) ).
fof(normalize_1_119,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_120,plain,
op2(e20,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_121,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 ),
inference(conjunct,[],[normalize_1_53]) ).
fof(normalize_1_122,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_123,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_124,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(conjunct,[],[normalize_1_31]) ).
fof(normalize_1_125,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_126,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e13),op1(e12,e13)) != e13 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_1_127,plain,
( ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e11),op1(e12,e11)) = e11 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e12),op1(e12,e12)) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 )
& ( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e13),op1(e12,e13)) != e13
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_1_126]) ).
fof(normalize_1_128,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 ),
inference(conjunct,[],[normalize_1_127]) ).
fof(normalize_1_129,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_130,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 )
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_1_131,plain,
( definitionFOFtoCNF_0
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(simplify,[],[normalize_1_130,normalize_1_47,normalize_1_46]) ).
fof(normalize_1_132,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(simplify,[],[normalize_1_131,normalize_1_126]) ).
fof(normalize_1_133,plain,
( ( op1(op1(e13,e10),op1(e13,e10)) = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_1_132]) ).
fof(normalize_1_134,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_1_133]) ).
fof(normalize_1_135,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_1_133]) ).
fof(normalize_1_136,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e12),op1(e12,e12)) = e12 ),
inference(conjunct,[],[normalize_1_127]) ).
fof(normalize_1_137,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(conjunct,[],[normalize_1_68]) ).
fof(normalize_1_138,plain,
op1(e12,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_139,plain,
op1(e10,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_140,plain,
e10 != e12,
inference(conjunct,[],[normalize_1_39]) ).
fof(normalize_1_141,plain,
e10 != e11,
inference(conjunct,[],[normalize_1_39]) ).
cnf(refute_1_0,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_2,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_3,refute_1_4]) ).
cnf(refute_1_6,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_1_7,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_1_2,refute_1_6]) ).
cnf(refute_1_8,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_9,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_10,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_1_11,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_1_9,refute_1_10]) ).
cnf(refute_1_12,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_1_13,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_1_11,refute_1_12]) ).
cnf(refute_1_14,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_1_8,refute_1_13]) ).
cnf(refute_1_15,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_1_16,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_17,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_1_15,refute_1_16]) ).
cnf(refute_1_18,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_14,refute_1_17]) ).
cnf(refute_1_19,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_1_20,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_21,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_1_19,refute_1_20]) ).
cnf(refute_1_22,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_14,refute_1_21]) ).
cnf(refute_1_23,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_24,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_5,refute_1_23]) ).
cnf(refute_1_25,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_1_26,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_1_22,refute_1_25]) ).
cnf(refute_1_27,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_1_18,refute_1_26]) ).
cnf(refute_1_28,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_1_29,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_1_27,refute_1_28]) ).
cnf(refute_1_30,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_7,refute_1_29]) ).
cnf(refute_1_31,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_1_32,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_1_30,refute_1_31]) ).
cnf(refute_1_33,plain,
h4(op1(e10,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_1_1,refute_1_32]) ).
cnf(refute_1_34,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_35,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_36,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(canonicalize,[],[normalize_1_20]) ).
cnf(refute_1_37,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_1_21]) ).
cnf(refute_1_38,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = e10 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).
cnf(refute_1_39,plain,
op1(e13,op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_1_37,refute_1_38]) ).
cnf(refute_1_40,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(op1(e13,op1(e13,e13)),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_1_41,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_1_42,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) )],[refute_1_40,refute_1_41]) ).
cnf(refute_1_43,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_1_39,refute_1_42]) ).
cnf(refute_1_44,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) != op1(e10,e13)
| e12 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e13)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_1_45,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| e12 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(e10,e13)) )],[refute_1_43,refute_1_44]) ).
cnf(refute_1_46,plain,
e12 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),e13)) )],[refute_1_36,refute_1_45]) ).
cnf(refute_1_47,plain,
( e12 != op1(e10,e13)
| op1(e10,e13) = e12 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_1_48,plain,
op1(e10,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_1_46,refute_1_47]) ).
cnf(refute_1_49,plain,
( op1(e10,e10) != e12
| op1(e10,e13) != e12
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_1_50,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_1_48,refute_1_49]) ).
cnf(refute_1_51,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_1_50,refute_1_35]) ).
cnf(refute_1_52,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_1_34,refute_1_51]) ).
cnf(refute_1_53,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e11
| h4(e11) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e11)]]) ).
cnf(refute_1_54,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e11) = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_52,refute_1_53]) ).
cnf(refute_1_55,plain,
( h4(e11) = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_1_33,refute_1_54]) ).
cnf(refute_1_56,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_1_22]) ).
cnf(refute_1_57,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_1_23]) ).
cnf(refute_1_58,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_1_59,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_1_57,refute_1_58]) ).
cnf(refute_1_60,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_1_61,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_59,refute_1_60]) ).
cnf(refute_1_62,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_1_56,refute_1_61]) ).
cnf(refute_1_63,plain,
( h4(e11) != e21
| h4(e11) != h1(e11)
| e21 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h1(e11)) ),[0],$fot(e21)]]) ).
cnf(refute_1_64,plain,
( h4(e11) != h1(e11)
| e21 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_1_62,refute_1_63]) ).
cnf(refute_1_65,plain,
( e21 = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_1_55,refute_1_64]) ).
cnf(refute_1_66,plain,
op1(e10,e10) != op1(e10,e11),
inference(canonicalize,[],[normalize_1_24]) ).
cnf(refute_1_67,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(canonicalize,[],[normalize_1_25]) ).
cnf(refute_1_68,plain,
op1(e10,e11) != op1(e10,e13),
inference(canonicalize,[],[normalize_1_26]) ).
cnf(refute_1_69,plain,
( op1(e10,e11) != e12
| op1(e10,e13) != e12
| op1(e10,e11) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_1_70,plain,
( op1(e10,e11) != e12
| op1(e10,e11) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_1_48,refute_1_69]) ).
cnf(refute_1_71,plain,
op1(e10,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_1_70,refute_1_68]) ).
cnf(refute_1_72,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_1_67,refute_1_71]) ).
cnf(refute_1_73,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_1_27]) ).
cnf(refute_1_74,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_1_75,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_1_0,refute_1_74]) ).
cnf(refute_1_76,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_1_77,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_1_78,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_1_76,refute_1_77]) ).
cnf(refute_1_79,plain,
op1(e13,op1(e13,e13)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_75,refute_1_78]) ).
cnf(refute_1_80,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e11)
| e10 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_1_81,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e11)) )],[refute_1_79,refute_1_80]) ).
cnf(refute_1_82,plain,
e10 = op1(e13,e11),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_1_37,refute_1_81]) ).
cnf(refute_1_83,plain,
( e10 != op1(e13,e11)
| op1(e13,e11) = e10 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_1_84,plain,
op1(e13,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e11)) )],[refute_1_82,refute_1_83]) ).
cnf(refute_1_85,plain,
( op1(e10,e11) != e10
| op1(e13,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_1_86,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_1_84,refute_1_85]) ).
cnf(refute_1_87,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_1_86,refute_1_73]) ).
cnf(refute_1_88,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_1_72,refute_1_87]) ).
cnf(refute_1_89,plain,
( op1(e10,e10) != e13
| op1(e10,e11) != e13
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_1_90,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = op1(e10,e11)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_1_88,refute_1_89]) ).
cnf(refute_1_91,plain,
( op1(e10,e10) != e13
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_1_90,refute_1_66]) ).
cnf(refute_1_92,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e10
| h4(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e10)]]) ).
cnf(refute_1_93,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e10) = h1(e11)
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_52,refute_1_92]) ).
cnf(refute_1_94,plain,
( h4(e10) = h1(e11)
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_1_33,refute_1_93]) ).
cnf(refute_1_95,plain,
( h4(e10) != e20
| h4(e10) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h1(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_1_96,plain,
( h4(e10) != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_14,refute_1_95]) ).
cnf(refute_1_97,plain,
( e20 = h1(e11)
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_1_94,refute_1_96]) ).
cnf(refute_1_98,plain,
( e13 != e13
| op1(e10,e10) != e13
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(e13)]]) ).
cnf(refute_1_99,plain,
( e13 != e13
| e20 = h1(e11)
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_1_97,refute_1_98]) ).
cnf(refute_1_100,plain,
( e13 != e13
| e20 = h1(e11)
| op1(e10,e10) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_1_99,refute_1_91]) ).
cnf(refute_1_101,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_1_102,plain,
( e20 = h1(e11)
| op1(e10,e10) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_101,refute_1_100]) ).
cnf(refute_1_103,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_1_29]) ).
cnf(refute_1_104,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_1_105,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_7,refute_1_104]) ).
cnf(refute_1_106,plain,
h1(e11) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_1_105,refute_1_103]) ).
cnf(refute_1_107,plain,
h4(op1(e10,e11)) != op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_1_30]) ).
cnf(refute_1_108,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_1_109,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) != op2(e20,h4(e11))
| op2(e20,h4(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_110,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_1_108,refute_1_109]) ).
cnf(refute_1_111,plain,
op2(e20,h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_1_62,refute_1_110]) ).
cnf(refute_1_112,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_1_113,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_114,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_1_112,refute_1_113]) ).
cnf(refute_1_115,plain,
op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_14,refute_1_114]) ).
cnf(refute_1_116,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_1_117,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_1_115,refute_1_116]) ).
cnf(refute_1_118,plain,
op2(h4(e10),h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_1_111,refute_1_117]) ).
cnf(refute_1_119,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_1_120,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_1_118,refute_1_119]) ).
cnf(refute_1_121,plain,
h4(op1(e10,e11)) != op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_1_120,refute_1_107]) ).
cnf(refute_1_122,plain,
( h4(e11) != op2(e20,e21)
| op1(e10,e11) != e11
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0,0],$fot(e11)]]) ).
cnf(refute_1_123,plain,
( h4(e11) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_88,refute_1_122]) ).
cnf(refute_1_124,plain,
( h4(e11) != op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_1_123,refute_1_121]) ).
cnf(refute_1_125,plain,
( e21 != op2(e20,e21)
| h4(e11) != e21
| h4(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_1_126,plain,
( e21 != op2(e20,e21)
| h4(e11) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_1_62,refute_1_125]) ).
cnf(refute_1_127,plain,
( e21 != op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e21)) )],[refute_1_126,refute_1_124]) ).
cnf(refute_1_128,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(canonicalize,[],[normalize_1_32]) ).
cnf(refute_1_129,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_1_33]) ).
cnf(refute_1_130,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_1_34]) ).
cnf(refute_1_131,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_1_132,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_133,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_1_131,refute_1_132]) ).
cnf(refute_1_134,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_1_11,refute_1_133]) ).
cnf(refute_1_135,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_1_136,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_1_134,refute_1_135]) ).
cnf(refute_1_137,plain,
e22 = op2(e20,e23),
inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),e23)) )],[refute_1_130,refute_1_136]) ).
cnf(refute_1_138,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_1_139,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_1_137,refute_1_138]) ).
cnf(refute_1_140,plain,
( op2(e20,e21) != e22
| op2(e20,e23) != e22
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_1_141,plain,
( op2(e20,e21) != e22
| op2(e20,e21) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_139,refute_1_140]) ).
cnf(refute_1_142,plain,
op2(e20,e21) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_1_141,refute_1_129]) ).
cnf(refute_1_143,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_1_128,refute_1_142]) ).
cnf(refute_1_144,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_1_35]) ).
cnf(refute_1_145,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_1_146,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_147,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_1_145,refute_1_146]) ).
cnf(refute_1_148,plain,
op2(e23,op2(e23,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_59,refute_1_147]) ).
cnf(refute_1_149,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e21)
| e20 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_1_150,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e21)) )],[refute_1_148,refute_1_149]) ).
cnf(refute_1_151,plain,
e20 = op2(e23,e21),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_1_9,refute_1_150]) ).
cnf(refute_1_152,plain,
( e20 != op2(e23,e21)
| op2(e23,e21) = e20 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_1_153,plain,
op2(e23,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_1_151,refute_1_152]) ).
cnf(refute_1_154,plain,
( op2(e20,e21) != e20
| op2(e23,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_1_155,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_1_153,refute_1_154]) ).
cnf(refute_1_156,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_1_155,refute_1_144]) ).
cnf(refute_1_157,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_1_143,refute_1_156]) ).
cnf(refute_1_158,plain,
( e21 != e21
| op2(e20,e21) != e21
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_1_159,plain,
( e21 != e21
| e21 = op2(e20,e21)
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_1_157,refute_1_158]) ).
cnf(refute_1_160,plain,
( e21 != e21
| op1(e10,e11) = e13
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_1_159,refute_1_127]) ).
cnf(refute_1_161,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_1_162,plain,
( op1(e10,e11) = e13
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_161,refute_1_160]) ).
cnf(refute_1_163,plain,
( h1(e11) != e23
| op2(e20,e21) != e23
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_1_164,plain,
( h1(e11) != e23
| h1(e11) = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_1_162,refute_1_163]) ).
cnf(refute_1_165,plain,
( h1(e11) != e23
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_1_164,refute_1_106]) ).
cnf(refute_1_166,plain,
( op1(e10,e10) != e11
| op1(e10,e11) != e11
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_1_167,plain,
( op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_88,refute_1_166]) ).
cnf(refute_1_168,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_1_167,refute_1_66]) ).
cnf(refute_1_169,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e13
| h4(e13) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_1_170,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e13) = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_1_52,refute_1_169]) ).
cnf(refute_1_171,plain,
( h4(e13) = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_1_33,refute_1_170]) ).
cnf(refute_1_172,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_1_36]) ).
cnf(refute_1_173,plain,
( h4(e13) != e23
| h4(e13) != h1(e11)
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h1(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_1_174,plain,
( h4(e13) != h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_1_172,refute_1_173]) ).
cnf(refute_1_175,plain,
( e23 = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(e13),h1(e11)) )],[refute_1_171,refute_1_174]) ).
cnf(refute_1_176,plain,
( h4(op1(e10,e10)) != h1(e11)
| e23 = h1(e11)
| h4(e10) = h1(e11)
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_175,refute_1_92]) ).
cnf(refute_1_177,plain,
( e23 = h1(e11)
| h4(e10) = h1(e11)
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_1_33,refute_1_176]) ).
cnf(refute_1_178,plain,
( e20 = h1(e11)
| e23 = h1(e11)
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_1_177,refute_1_96]) ).
cnf(refute_1_179,plain,
( e11 != e11
| op1(e10,e10) != e11
| op1(e10,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(e11)]]) ).
cnf(refute_1_180,plain,
( e11 != e11
| e20 = h1(e11)
| e23 = h1(e11)
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_178,refute_1_179]) ).
cnf(refute_1_181,plain,
( e11 != e11
| e20 = h1(e11)
| e23 = h1(e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_180,refute_1_168]) ).
cnf(refute_1_182,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_1_183,plain,
( e20 = h1(e11)
| e23 = h1(e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_182,refute_1_181]) ).
cnf(refute_1_184,plain,
( h4(e13) != op2(e20,e21)
| op1(e10,e11) != e13
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0,0],$fot(e13)]]) ).
cnf(refute_1_185,plain,
( h4(e13) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_1_88,refute_1_184]) ).
cnf(refute_1_186,plain,
( h4(e13) != op2(e20,e21)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_1_185,refute_1_121]) ).
cnf(refute_1_187,plain,
( e23 != op2(e20,e21)
| h4(e13) != e23
| h4(e13) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_1_188,plain,
( e23 != op2(e20,e21)
| h4(e13) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_1_172,refute_1_187]) ).
cnf(refute_1_189,plain,
( e23 != op2(e20,e21)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e21)) )],[refute_1_188,refute_1_186]) ).
cnf(refute_1_190,plain,
( e23 != e23
| op2(e20,e21) != e23
| e23 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e20,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_1_191,plain,
( e23 != e23
| e23 = op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_1_157,refute_1_190]) ).
cnf(refute_1_192,plain,
( e23 != e23
| op1(e10,e11) = e11
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_1_191,refute_1_189]) ).
cnf(refute_1_193,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_1_194,plain,
( op1(e10,e11) = e11
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_193,refute_1_192]) ).
cnf(refute_1_195,plain,
( h1(e11) != e21
| op2(e20,e21) != e21
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_1_196,plain,
( h1(e11) != e21
| h1(e11) = op2(e20,e21)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_1_194,refute_1_195]) ).
cnf(refute_1_197,plain,
( h1(e11) != e21
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_1_196,refute_1_106]) ).
cnf(refute_1_198,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_1_37]) ).
cnf(refute_1_199,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_200,plain,
( op2(e20,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_7,refute_1_199]) ).
cnf(refute_1_201,plain,
( h1(e11) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_1_198,refute_1_200]) ).
cnf(refute_1_202,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_203,plain,
( op2(e20,e20) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_7,refute_1_202]) ).
cnf(refute_1_204,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_1_201,refute_1_203]) ).
cnf(refute_1_205,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_206,plain,
( op2(e20,e20) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_7,refute_1_205]) ).
cnf(refute_1_207,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_1_204,refute_1_206]) ).
cnf(refute_1_208,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_209,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_7,refute_1_208]) ).
cnf(refute_1_210,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_1_207,refute_1_209]) ).
cnf(refute_1_211,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_1_38]) ).
cnf(refute_1_212,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_1_213,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_7,refute_1_212]) ).
cnf(refute_1_214,plain,
( h1(e11) != e22
| op2(e20,e23) != e22
| h1(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_1_215,plain,
( h1(e11) != e22
| h1(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_139,refute_1_214]) ).
cnf(refute_1_216,plain,
( h1(e11) != e22
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e23)) )],[refute_1_215,refute_1_213]) ).
cnf(refute_1_217,plain,
h1(e11) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_1_216,refute_1_211]) ).
cnf(refute_1_218,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_1_210,refute_1_217]) ).
cnf(refute_1_219,plain,
( e21 != e21
| h1(e11) != e21
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_1_220,plain,
( e21 != e21
| h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_1_218,refute_1_219]) ).
cnf(refute_1_221,plain,
( e21 != e21
| h1(e11) = e20
| h1(e11) = e23
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_1_220,refute_1_197]) ).
cnf(refute_1_222,plain,
( h1(e11) = e20
| h1(e11) = e23
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_161,refute_1_221]) ).
cnf(refute_1_223,plain,
( op1(e10,e11) != e11
| op1(e10,e11) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e11)]]) ).
cnf(refute_1_224,plain,
( op1(e10,e11) != e13
| e11 = e13
| h1(e11) = e20
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_222,refute_1_223]) ).
cnf(refute_1_225,plain,
( e11 = e13
| e20 = h1(e11)
| e23 = h1(e11)
| h1(e11) = e20
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_1_183,refute_1_224]) ).
cnf(refute_1_226,plain,
( h1(e11) != e20
| e20 = h1(e11) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(e20))]]) ).
cnf(refute_1_227,plain,
( e11 = e13
| e20 = h1(e11)
| e23 = h1(e11)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_225,refute_1_226]) ).
cnf(refute_1_228,plain,
( h1(e11) != e23
| e23 = h1(e11) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(e23))]]) ).
cnf(refute_1_229,plain,
( e11 = e13
| e20 = h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_227,refute_1_228]) ).
cnf(refute_1_230,plain,
e11 != e13,
inference(canonicalize,[],[normalize_1_40]) ).
cnf(refute_1_231,plain,
( e20 = h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_1_229,refute_1_230]) ).
cnf(refute_1_232,plain,
( e23 != h1(e11)
| h1(e11) = e23 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e23)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_1_233,plain,
( e20 = h1(e11)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_1_231,refute_1_232]) ).
cnf(refute_1_234,plain,
( e23 != e23
| h1(e11) != e23
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_1_235,plain,
( e23 != e23
| e20 = h1(e11)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_233,refute_1_234]) ).
cnf(refute_1_236,plain,
( e23 != e23
| e20 = h1(e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_235,refute_1_165]) ).
cnf(refute_1_237,plain,
( e20 = h1(e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_193,refute_1_236]) ).
cnf(refute_1_238,plain,
( op1(e10,e11) != e11
| op1(e10,e11) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e13)]]) ).
cnf(refute_1_239,plain,
( op1(e10,e11) != e11
| e13 = e11
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_1_237,refute_1_238]) ).
cnf(refute_1_240,plain,
( e13 = e11
| e20 = h1(e11)
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_102,refute_1_239]) ).
cnf(refute_1_241,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_1_242,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_1_241,refute_1_230]) ).
cnf(refute_1_243,plain,
( e20 = h1(e11)
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_1_240,refute_1_242]) ).
cnf(refute_1_244,plain,
( h4(op1(e10,e10)) != h1(e11)
| e20 = h1(e11)
| h4(e11) = h1(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_243,refute_1_53]) ).
cnf(refute_1_245,plain,
( e20 = h1(e11)
| h4(e11) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_1_33,refute_1_244]) ).
cnf(refute_1_246,plain,
( e20 = h1(e11)
| e21 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_1_245,refute_1_64]) ).
cnf(refute_1_247,plain,
( h1(e11) != e23
| h1(e11) = op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_1_157,refute_1_163]) ).
cnf(refute_1_248,plain,
( h1(e11) != e23
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_1_247,refute_1_106]) ).
cnf(refute_1_249,plain,
( e23 != e23
| e20 = h1(e11)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_235,refute_1_248]) ).
cnf(refute_1_250,plain,
( e20 = h1(e11)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_193,refute_1_249]) ).
cnf(refute_1_251,plain,
( h1(e11) != e21
| e20 = h1(e11)
| h1(e11) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_1_250,refute_1_195]) ).
cnf(refute_1_252,plain,
( h1(e11) != e21
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_1_251,refute_1_106]) ).
cnf(refute_1_253,plain,
( e20 != h1(e11)
| h1(e11) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_254,plain,
( h1(e11) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_1_252,refute_1_253]) ).
cnf(refute_1_255,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_41]) ).
cnf(refute_1_256,plain,
( op2(e23,e21) != e21
| op2(e23,e23) != e21
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_1_257,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_59,refute_1_256]) ).
cnf(refute_1_258,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_1_257,refute_1_255]) ).
cnf(refute_1_259,plain,
( e20 != e21
| op2(e23,e21) != e20
| op2(e23,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e20) ),[1],$fot(e21)]]) ).
cnf(refute_1_260,plain,
( e20 != e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_1_153,refute_1_259]) ).
cnf(refute_1_261,plain,
e20 != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_1_260,refute_1_258]) ).
cnf(refute_1_262,plain,
h1(e11) != e21,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_254,refute_1_261]) ).
cnf(refute_1_263,plain,
( e21 != h1(e11)
| h1(e11) = e21 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e21)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_1_264,plain,
e21 != h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_1_263,refute_1_262]) ).
cnf(refute_1_265,plain,
e20 = h1(e11),
inference(resolve,[$cnf( $equal(e21,h1(e11)) )],[refute_1_246,refute_1_264]) ).
cnf(refute_1_266,plain,
( e20 != h1(e11)
| h1(e11) = e20 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e20)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_1_267,plain,
h1(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_1_265,refute_1_266]) ).
cnf(refute_1_268,plain,
( e21 != h1(e11)
| h1(e11) != e20
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_269,plain,
( e21 != h1(e11)
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_267,refute_1_268]) ).
cnf(refute_1_270,plain,
( e21 = e20
| op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e21,h1(e11)) )],[refute_1_65,refute_1_269]) ).
cnf(refute_1_271,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_1_272,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_271,refute_1_261]) ).
cnf(refute_1_273,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_1_270,refute_1_272]) ).
cnf(refute_1_274,plain,
( e11 != e11
| e23 = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_175,refute_1_179]) ).
cnf(refute_1_275,plain,
( e11 != e11
| e23 = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_274,refute_1_168]) ).
cnf(refute_1_276,plain,
( e23 = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_182,refute_1_275]) ).
cnf(refute_1_277,plain,
( op1(e10,e10) != e13
| e23 = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_1_276,refute_1_89]) ).
cnf(refute_1_278,plain,
( op1(e10,e10) != e13
| e23 = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_1_277,refute_1_66]) ).
cnf(refute_1_279,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0],$fot(e13)]]) ).
cnf(refute_1_280,plain,
( op1(e10,e10) != e13
| e13 = e10
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_278,refute_1_279]) ).
cnf(refute_1_281,plain,
e10 != e13,
inference(canonicalize,[],[normalize_1_42]) ).
cnf(refute_1_282,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_1_283,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_1_282,refute_1_281]) ).
cnf(refute_1_284,plain,
( op1(e10,e10) != e13
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_1_280,refute_1_283]) ).
cnf(refute_1_285,plain,
( e23 != h1(e11)
| h1(e11) != e20
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_286,plain,
( e23 != h1(e11)
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_267,refute_1_285]) ).
cnf(refute_1_287,plain,
( op1(e10,e10) != e13
| e23 = e20 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_1_284,refute_1_286]) ).
cnf(refute_1_288,plain,
e20 != e23,
inference(canonicalize,[],[normalize_1_44]) ).
cnf(refute_1_289,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_1_290,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_289,refute_1_288]) ).
cnf(refute_1_291,plain,
op1(e10,e10) != e13,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_1_287,refute_1_290]) ).
cnf(refute_1_292,plain,
op1(e10,e10) = e10,
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_1_273,refute_1_291]) ).
cnf(refute_1_293,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(canonicalize,[],[normalize_1_49]) ).
cnf(refute_1_294,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(canonicalize,[],[normalize_1_54]) ).
cnf(refute_1_295,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_1_55]) ).
cnf(refute_1_296,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_1_297,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_7,refute_1_296]) ).
cnf(refute_1_298,plain,
h1(e11) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_1_297,refute_1_295]) ).
cnf(refute_1_299,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_1_56]) ).
cnf(refute_1_300,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_1_57]) ).
cnf(refute_1_301,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_1_58]) ).
cnf(refute_1_302,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_1_60]) ).
cnf(refute_1_303,plain,
op1(e12,op1(e10,e13)) = op1(e12,op1(e10,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e10,e13)))]]) ).
cnf(refute_1_304,plain,
( op1(e10,e13) != e12
| op1(e12,op1(e10,e13)) != op1(e12,op1(e10,e13))
| op1(e12,op1(e10,e13)) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_1_305,plain,
( op1(e10,e13) != e12
| op1(e12,op1(e10,e13)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) )],[refute_1_303,refute_1_304]) ).
cnf(refute_1_306,plain,
op1(e12,op1(e10,e13)) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_1_48,refute_1_305]) ).
cnf(refute_1_307,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(op1(e10,e13),op1(e10,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e10,e13),op1(e10,e13)))]]) ).
cnf(refute_1_308,plain,
( op1(e10,e13) != e12
| op1(op1(e10,e13),op1(e10,e13)) != op1(op1(e10,e13),op1(e10,e13))
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(op1(e10,e13),op1(e10,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_1_309,plain,
( op1(e10,e13) != e12
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(op1(e10,e13),op1(e10,e13))) )],[refute_1_307,refute_1_308]) ).
cnf(refute_1_310,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_1_48,refute_1_309]) ).
cnf(refute_1_311,plain,
( op1(e12,op1(e10,e13)) != op1(e12,e12)
| op1(op1(e10,e13),op1(e10,e13)) != op1(e12,op1(e10,e13))
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op1(op1(e10,e13),op1(e10,e13)))),bind(Y,$fot(op1(e12,op1(e10,e13)))),bind(Z,$fot(op1(e12,e12)))]]) ).
cnf(refute_1_312,plain,
( op1(e12,op1(e10,e13)) != op1(e12,e12)
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(e12,op1(e10,e13))) )],[refute_1_310,refute_1_311]) ).
cnf(refute_1_313,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,e12)) )],[refute_1_306,refute_1_312]) ).
cnf(refute_1_314,plain,
( op1(op1(e10,e13),op1(e10,e13)) != e13
| op1(op1(e10,e13),op1(e10,e13)) != op1(e12,e12)
| op1(e12,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),e13) ),[0],$fot(op1(e12,e12))]]) ).
cnf(refute_1_315,plain,
( op1(op1(e10,e13),op1(e10,e13)) != e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(e12,e12)) )],[refute_1_313,refute_1_314]) ).
cnf(refute_1_316,plain,
( op1(e12,e12) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),e13) )],[refute_1_302,refute_1_315]) ).
cnf(refute_1_317,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_1_318,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_316,refute_1_317]) ).
cnf(refute_1_319,plain,
( e13 != op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_1_318,refute_1_301]) ).
cnf(refute_1_320,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_1_61]) ).
cnf(refute_1_321,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_1_62]) ).
cnf(refute_1_322,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_1_323,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_75,refute_1_322]) ).
cnf(refute_1_324,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_1_323,refute_1_321]) ).
cnf(refute_1_325,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_1_320,refute_1_324]) ).
cnf(refute_1_326,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_1_63]) ).
cnf(refute_1_327,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_1_328,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_1_48,refute_1_327]) ).
cnf(refute_1_329,plain,
e12 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_1_328,refute_1_326]) ).
cnf(refute_1_330,plain,
( op1(e12,e13) != e12
| e12 = op1(e12,e13) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_1_331,plain,
op1(e12,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_1_330,refute_1_329]) ).
cnf(refute_1_332,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_1_325,refute_1_331]) ).
cnf(refute_1_333,plain,
( e13 != e13
| op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_1_334,plain,
( e13 != e13
| e13 = op1(e12,e13)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_1_332,refute_1_333]) ).
cnf(refute_1_335,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_1_334,refute_1_319]) ).
cnf(refute_1_336,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_101,refute_1_335]) ).
cnf(refute_1_337,plain,
( op1(e11,e13) != e10
| op1(e12,e13) != e10
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_1_338,plain,
( op1(e11,e13) != e10
| op1(e11,e13) = op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_1_336,refute_1_337]) ).
cnf(refute_1_339,plain,
( op1(e11,e13) != e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_1_338,refute_1_300]) ).
cnf(refute_1_340,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_1_64]) ).
cnf(refute_1_341,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_1_65]) ).
cnf(refute_1_342,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_1_343,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_75,refute_1_342]) ).
cnf(refute_1_344,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_1_343,refute_1_341]) ).
cnf(refute_1_345,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_1_340,refute_1_344]) ).
cnf(refute_1_346,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_1_66]) ).
cnf(refute_1_347,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_1_348,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_1_48,refute_1_347]) ).
cnf(refute_1_349,plain,
e12 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_1_348,refute_1_346]) ).
cnf(refute_1_350,plain,
( op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_1_351,plain,
op1(e11,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_1_350,refute_1_349]) ).
cnf(refute_1_352,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_1_345,refute_1_351]) ).
cnf(refute_1_353,plain,
( e10 != e10
| op1(e11,e13) != e10
| op1(e11,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e10) ),[1],$fot(e10)]]) ).
cnf(refute_1_354,plain,
( e10 != e10
| op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_1_352,refute_1_353]) ).
cnf(refute_1_355,plain,
( e10 != e10
| op1(e11,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_1_354,refute_1_339]) ).
cnf(refute_1_356,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_1_357,plain,
( op1(e11,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_1_356,refute_1_355]) ).
cnf(refute_1_358,plain,
( op1(e11,e11) != e13
| op1(e11,e13) != e13
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_1_359,plain,
( op1(e11,e11) != e13
| op1(e11,e11) = op1(e11,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_1_357,refute_1_358]) ).
cnf(refute_1_360,plain,
( op1(e11,e11) != e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_1_359,refute_1_299]) ).
cnf(refute_1_361,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_1_67]) ).
cnf(refute_1_362,plain,
( op1(e12,e11) != e13
| op1(e12,e12) != e13
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_1_363,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e12,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_316,refute_1_362]) ).
cnf(refute_1_364,plain,
( op1(e12,e11) != e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_1_363,refute_1_361]) ).
cnf(refute_1_365,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_1_69]) ).
cnf(refute_1_366,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).
cnf(refute_1_367,plain,
( op1(e13,e11) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_1_84,refute_1_366]) ).
cnf(refute_1_368,plain,
( e10 = e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_1_365,refute_1_367]) ).
cnf(refute_1_369,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_1_368,refute_1_281]) ).
cnf(refute_1_370,plain,
( e13 != e13
| op1(e12,e11) != e13
| op1(e12,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_1_371,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_1_369,refute_1_370]) ).
cnf(refute_1_372,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_1_371,refute_1_364]) ).
cnf(refute_1_373,plain,
( e13 != e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_1_372,refute_1_360]) ).
cnf(refute_1_374,plain,
( op1(e10,e11) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_101,refute_1_373]) ).
cnf(refute_1_375,plain,
( h4(e13) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_1_374,refute_1_184]) ).
cnf(refute_1_376,plain,
( h4(e13) != op2(e20,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_1_375,refute_1_121]) ).
cnf(refute_1_377,plain,
( e23 != op2(e20,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e21)) )],[refute_1_188,refute_1_376]) ).
cnf(refute_1_378,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_1_70]) ).
cnf(refute_1_379,plain,
h3(e11) = op2(e22,e22),
inference(canonicalize,[],[normalize_1_71]) ).
cnf(refute_1_380,plain,
( h3(e11) != op2(e22,e22)
| op2(e22,e22) = h3(e11) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_1_381,plain,
op2(e22,e22) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_1_379,refute_1_380]) ).
cnf(refute_1_382,plain,
( op2(e20,e22) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_1_383,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_381,refute_1_382]) ).
cnf(refute_1_384,plain,
op2(e20,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_1_383,refute_1_378]) ).
cnf(refute_1_385,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_1_73]) ).
cnf(refute_1_386,plain,
op2(e22,op2(e20,e23)) = op2(e22,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e20,e23)))]]) ).
cnf(refute_1_387,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_1_388,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_1_386,refute_1_387]) ).
cnf(refute_1_389,plain,
op2(e22,op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_139,refute_1_388]) ).
cnf(refute_1_390,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(op2(e20,e23),op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),op2(e20,e23)))]]) ).
cnf(refute_1_391,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) != op2(op2(e20,e23),op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) ),[1,0],$fot(e22)]]) ).
cnf(refute_1_392,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) )],[refute_1_390,refute_1_391]) ).
cnf(refute_1_393,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_139,refute_1_392]) ).
cnf(refute_1_394,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,op2(e20,e23)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_1_395,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_1_393,refute_1_394]) ).
cnf(refute_1_396,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,e22)) )],[refute_1_389,refute_1_395]) ).
cnf(refute_1_397,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_1_398,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,e22)) )],[refute_1_396,refute_1_397]) ).
cnf(refute_1_399,plain,
op2(op2(e20,e23),op2(e20,e23)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_381,refute_1_398]) ).
cnf(refute_1_400,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| op2(op2(e20,e23),op2(e20,e23)) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_401,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),h3(e11)) )],[refute_1_399,refute_1_400]) ).
cnf(refute_1_402,plain,
( h3(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) )],[refute_1_385,refute_1_401]) ).
cnf(refute_1_403,plain,
( h3(e11) != e23
| op2(e20,e22) != e23
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h3(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_1_404,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = h3(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_1_402,refute_1_403]) ).
cnf(refute_1_405,plain,
( op2(e20,e22) != e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_1_404,refute_1_384]) ).
cnf(refute_1_406,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_1_75]) ).
cnf(refute_1_407,plain,
( h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_1_406,refute_1_209]) ).
cnf(refute_1_408,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e22)]]) ).
cnf(refute_1_409,plain,
( op2(e20,e23) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_139,refute_1_408]) ).
cnf(refute_1_410,plain,
( e22 = e23
| h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_1_407,refute_1_409]) ).
cnf(refute_1_411,plain,
e22 != e23,
inference(canonicalize,[],[normalize_1_76]) ).
cnf(refute_1_412,plain,
( h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_1_410,refute_1_411]) ).
cnf(refute_1_413,plain,
( e23 != e23
| op2(e20,e22) != e23
| op2(e20,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_1_414,plain,
( e23 != e23
| h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_1_412,refute_1_413]) ).
cnf(refute_1_415,plain,
( e23 != e23
| h1(e11) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_1_414,refute_1_405]) ).
cnf(refute_1_416,plain,
( h1(e11) = e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_193,refute_1_415]) ).
cnf(refute_1_417,plain,
( e23 != e23
| e23 = op2(e20,e21)
| h1(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_1_416,refute_1_190]) ).
cnf(refute_1_418,plain,
( e23 != e23
| h1(e11) = e23
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_1_417,refute_1_377]) ).
cnf(refute_1_419,plain,
( h1(e11) = e23
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_193,refute_1_418]) ).
cnf(refute_1_420,plain,
( e23 != op2(e23,e20)
| h1(e11) != e23
| h1(e11) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_1_421,plain,
( e23 != op2(e23,e20)
| h1(e11) = op2(e23,e20)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_419,refute_1_420]) ).
cnf(refute_1_422,plain,
( e23 != op2(e23,e20)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,e20)) )],[refute_1_421,refute_1_298]) ).
cnf(refute_1_423,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_1_77]) ).
cnf(refute_1_424,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_1_78]) ).
cnf(refute_1_425,plain,
( h3(e11) != op2(e23,e22)
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_1_426,plain,
( h3(e11) != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_381,refute_1_425]) ).
cnf(refute_1_427,plain,
h3(e11) != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_1_426,refute_1_424]) ).
cnf(refute_1_428,plain,
( e23 != op2(e23,e22)
| h3(e11) != e23
| h3(e11) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_1_429,plain,
( e23 != op2(e23,e22)
| h3(e11) = op2(e23,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_1_402,refute_1_428]) ).
cnf(refute_1_430,plain,
( e23 != op2(e23,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,e22)) )],[refute_1_429,refute_1_427]) ).
cnf(refute_1_431,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_1_79]) ).
cnf(refute_1_432,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_80]) ).
cnf(refute_1_433,plain,
( op2(e23,e22) != e21
| op2(e23,e23) != e21
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_1_434,plain,
( op2(e23,e22) != e21
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_59,refute_1_433]) ).
cnf(refute_1_435,plain,
op2(e23,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_1_434,refute_1_432]) ).
cnf(refute_1_436,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_1_431,refute_1_435]) ).
cnf(refute_1_437,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_1_81]) ).
cnf(refute_1_438,plain,
( e20 != op2(e23,e22)
| op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e20) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_1_439,plain,
( e20 != op2(e23,e22)
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_1_153,refute_1_438]) ).
cnf(refute_1_440,plain,
e20 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_1_439,refute_1_437]) ).
cnf(refute_1_441,plain,
( op2(e23,e22) != e20
| e20 = op2(e23,e22) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e20))]]) ).
cnf(refute_1_442,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_1_441,refute_1_440]) ).
cnf(refute_1_443,plain,
( op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_1_436,refute_1_442]) ).
cnf(refute_1_444,plain,
( e23 != e23
| op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_1_445,plain,
( e23 != e23
| e23 = op2(e23,e22)
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_1_443,refute_1_444]) ).
cnf(refute_1_446,plain,
( e23 != e23
| op2(e23,e22) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_1_445,refute_1_430]) ).
cnf(refute_1_447,plain,
( op2(e23,e22) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_193,refute_1_446]) ).
cnf(refute_1_448,plain,
( op2(e23,e20) != e22
| op2(e23,e22) != e22
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_1_449,plain,
( op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_1_447,refute_1_448]) ).
cnf(refute_1_450,plain,
( op2(e23,e20) != e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_1_449,refute_1_423]) ).
cnf(refute_1_451,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_1_82]) ).
cnf(refute_1_452,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_83]) ).
cnf(refute_1_453,plain,
( op2(e23,e20) != e21
| op2(e23,e23) != e21
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_1_454,plain,
( op2(e23,e20) != e21
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_59,refute_1_453]) ).
cnf(refute_1_455,plain,
op2(e23,e20) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_1_454,refute_1_452]) ).
cnf(refute_1_456,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_1_451,refute_1_455]) ).
cnf(refute_1_457,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_1_84]) ).
cnf(refute_1_458,plain,
( op2(e23,e20) != e20
| op2(e23,e21) != e20
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_1_459,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_1_153,refute_1_458]) ).
cnf(refute_1_460,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_1_459,refute_1_457]) ).
cnf(refute_1_461,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_1_456,refute_1_460]) ).
cnf(refute_1_462,plain,
( e22 != e22
| op2(e23,e20) != e22
| op2(e23,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(e22)]]) ).
cnf(refute_1_463,plain,
( e22 != e22
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_461,refute_1_462]) ).
cnf(refute_1_464,plain,
( e22 != e22
| op2(e23,e20) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_463,refute_1_450]) ).
cnf(refute_1_465,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_1_466,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_465,refute_1_464]) ).
cnf(refute_1_467,plain,
( e23 != e23
| op2(e23,e20) != e23
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_1_468,plain,
( e23 != e23
| e23 = op2(e23,e20)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_1_466,refute_1_467]) ).
cnf(refute_1_469,plain,
( e23 != e23
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_1_468,refute_1_422]) ).
cnf(refute_1_470,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_193,refute_1_469]) ).
cnf(refute_1_471,plain,
( ~ definitionFOFtoCNF_3
| op2(op2(e21,e23),op2(e21,e23)) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_1_470,refute_1_294]) ).
cnf(refute_1_472,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference(canonicalize,[],[normalize_1_87]) ).
cnf(refute_1_473,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_1_88]) ).
cnf(refute_1_474,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_1_89]) ).
cnf(refute_1_475,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_1_476,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_1_474,refute_1_475]) ).
cnf(refute_1_477,plain,
( op2(e20,e21) != h2(e11)
| op2(e21,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_1_478,plain,
( op2(e20,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_1_476,refute_1_477]) ).
cnf(refute_1_479,plain,
op2(e20,e21) != h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_1_478,refute_1_473]) ).
cnf(refute_1_480,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_1_94]) ).
cnf(refute_1_481,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_1_482,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_483,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_1_481,refute_1_482]) ).
cnf(refute_1_484,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_59,refute_1_483]) ).
cnf(refute_1_485,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_1_486,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_487,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_1_485,refute_1_486]) ).
cnf(refute_1_488,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_59,refute_1_487]) ).
cnf(refute_1_489,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_1_490,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_1_488,refute_1_489]) ).
cnf(refute_1_491,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_1_484,refute_1_490]) ).
cnf(refute_1_492,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_1_493,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_1_491,refute_1_492]) ).
cnf(refute_1_494,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_1_476,refute_1_493]) ).
cnf(refute_1_495,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_1_496,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_1_494,refute_1_495]) ).
cnf(refute_1_497,plain,
( h2(e11) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) )],[refute_1_480,refute_1_496]) ).
cnf(refute_1_498,plain,
( h2(e11) != e23
| op2(e20,e21) != e23
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),h2(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_1_499,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = h2(e11)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_1_497,refute_1_498]) ).
cnf(refute_1_500,plain,
( op2(e20,e21) != e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_1_499,refute_1_479]) ).
cnf(refute_1_501,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_1_95]) ).
cnf(refute_1_502,plain,
op2(e20,op2(e23,e21)) = op2(e20,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e21)))]]) ).
cnf(refute_1_503,plain,
( op2(e20,op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(e23,e21) != e20
| op2(e20,op2(e23,e21)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_504,plain,
( op2(e23,e21) != e20
| op2(e20,op2(e23,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_1_502,refute_1_503]) ).
cnf(refute_1_505,plain,
op2(e20,op2(e23,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_1_153,refute_1_504]) ).
cnf(refute_1_506,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(op2(e23,e21),op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),op2(e23,e21)))]]) ).
cnf(refute_1_507,plain,
( op2(e23,e21) != e20
| op2(op2(e23,e21),op2(e23,e21)) != op2(op2(e23,e21),op2(e23,e21))
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(op2(e23,e21),op2(e23,e21))) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_508,plain,
( op2(e23,e21) != e20
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(op2(e23,e21),op2(e23,e21))) )],[refute_1_506,refute_1_507]) ).
cnf(refute_1_509,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_1_153,refute_1_508]) ).
cnf(refute_1_510,plain,
( op2(e20,op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(op2(e23,e21),op2(e23,e21)))),bind(Y,$fot(op2(e20,op2(e23,e21)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_1_511,plain,
( op2(e20,op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_1_509,refute_1_510]) ).
cnf(refute_1_512,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,e20)) )],[refute_1_505,refute_1_511]) ).
cnf(refute_1_513,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e23,e21),op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) = h1(e11) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(op2(e23,e21),op2(e23,e21)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_1_514,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e23,e21),op2(e23,e21)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(e20,e20)) )],[refute_1_512,refute_1_513]) ).
cnf(refute_1_515,plain,
op2(op2(e23,e21),op2(e23,e21)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_7,refute_1_514]) ).
cnf(refute_1_516,plain,
( op2(op2(e23,e21),op2(e23,e21)) != e21
| op2(op2(e23,e21),op2(e23,e21)) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_517,plain,
( op2(op2(e23,e21),op2(e23,e21)) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),h1(e11)) )],[refute_1_515,refute_1_516]) ).
cnf(refute_1_518,plain,
( h1(e11) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),e21) )],[refute_1_501,refute_1_517]) ).
cnf(refute_1_519,plain,
( e21 != op2(e20,e21)
| h1(e11) != e21
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_1_520,plain,
( e21 != op2(e20,e21)
| h1(e11) = op2(e20,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_1_518,refute_1_519]) ).
cnf(refute_1_521,plain,
( e21 != op2(e20,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_1_520,refute_1_106]) ).
cnf(refute_1_522,plain,
( e21 != e21
| op2(e20,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_1_159,refute_1_521]) ).
cnf(refute_1_523,plain,
( op2(e20,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_161,refute_1_522]) ).
cnf(refute_1_524,plain,
( e23 != e23
| op2(e20,e21) != e23
| op2(e20,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_1_525,plain,
( e23 != e23
| op2(e20,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_1_523,refute_1_524]) ).
cnf(refute_1_526,plain,
( e23 != e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_1_525,refute_1_500]) ).
cnf(refute_1_527,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_193,refute_1_526]) ).
cnf(refute_1_528,plain,
( op2(op2(e22,e23),op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_1_527,refute_1_472]) ).
cnf(refute_1_529,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_1_96]) ).
cnf(refute_1_530,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_1_97]) ).
cnf(refute_1_531,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_98]) ).
cnf(refute_1_532,plain,
( op2(e22,e23) != e21
| op2(e23,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_1_533,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_59,refute_1_532]) ).
cnf(refute_1_534,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_1_533,refute_1_531]) ).
cnf(refute_1_535,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_1_530,refute_1_534]) ).
cnf(refute_1_536,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_1_99]) ).
cnf(refute_1_537,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_1_538,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_139,refute_1_537]) ).
cnf(refute_1_539,plain,
e22 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_1_538,refute_1_536]) ).
cnf(refute_1_540,plain,
( op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_1_541,plain,
op2(e22,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_1_540,refute_1_539]) ).
cnf(refute_1_542,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_1_535,refute_1_541]) ).
cnf(refute_1_543,plain,
( op2(e21,e23) != e23
| op2(e22,e23) != e23
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_1_544,plain,
( op2(e21,e23) != e23
| op2(e21,e23) = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_1_542,refute_1_543]) ).
cnf(refute_1_545,plain,
( op2(e21,e23) != e23
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_1_544,refute_1_529]) ).
cnf(refute_1_546,plain,
op2(e21,e22) != op2(e21,e23),
inference(canonicalize,[],[normalize_1_100]) ).
cnf(refute_1_547,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_1_101]) ).
cnf(refute_1_548,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_102]) ).
cnf(refute_1_549,plain,
( op2(e21,e23) != e21
| op2(e23,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_1_550,plain,
( op2(e21,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_59,refute_1_549]) ).
cnf(refute_1_551,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_1_550,refute_1_548]) ).
cnf(refute_1_552,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_1_547,refute_1_551]) ).
cnf(refute_1_553,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_1_103]) ).
cnf(refute_1_554,plain,
( e22 != op2(e21,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_1_555,plain,
( e22 != op2(e21,e23)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_139,refute_1_554]) ).
cnf(refute_1_556,plain,
e22 != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_1_555,refute_1_553]) ).
cnf(refute_1_557,plain,
( op2(e21,e23) != e22
| e22 = op2(e21,e23) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_1_558,plain,
op2(e21,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_1_557,refute_1_556]) ).
cnf(refute_1_559,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_1_552,refute_1_558]) ).
cnf(refute_1_560,plain,
( op2(e21,e22) != e20
| op2(e21,e23) != e20
| op2(e21,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e21,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_1_561,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e21,e23)
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_1_559,refute_1_560]) ).
cnf(refute_1_562,plain,
( op2(e21,e22) != e20
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e23)) )],[refute_1_561,refute_1_546]) ).
cnf(refute_1_563,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(canonicalize,[],[normalize_1_104]) ).
cnf(refute_1_564,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e11)
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e11))]]) ).
cnf(refute_1_565,plain,
( op2(e21,e21) != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_1_476,refute_1_564]) ).
cnf(refute_1_566,plain,
( h2(e11) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_1_563,refute_1_565]) ).
cnf(refute_1_567,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_1_105]) ).
cnf(refute_1_568,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_1_569,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_1_476,refute_1_568]) ).
cnf(refute_1_570,plain,
h2(e11) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_1_569,refute_1_567]) ).
cnf(refute_1_571,plain,
( h2(e11) != e20
| op2(e23,e21) != e20
| h2(e11) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_1_572,plain,
( h2(e11) != e20
| h2(e11) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_1_153,refute_1_571]) ).
cnf(refute_1_573,plain,
h2(e11) != e20,
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e21)) )],[refute_1_572,refute_1_570]) ).
cnf(refute_1_574,plain,
( op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_1_566,refute_1_573]) ).
cnf(refute_1_575,plain,
( e20 != op2(e22,e23)
| op2(e21,e23) != e20
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_1_576,plain,
( e20 != op2(e22,e23)
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_1_574,refute_1_575]) ).
cnf(refute_1_577,plain,
( e20 != op2(e22,e23)
| op2(e21,e20) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_1_576,refute_1_529]) ).
cnf(refute_1_578,plain,
op2(e20,e20) != op2(e21,e20),
inference(canonicalize,[],[normalize_1_106]) ).
cnf(refute_1_579,plain,
( h1(e11) != op2(e21,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_1_580,plain,
( h1(e11) != op2(e21,e20)
| op2(e20,e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_7,refute_1_579]) ).
cnf(refute_1_581,plain,
h1(e11) != op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_1_580,refute_1_578]) ).
cnf(refute_1_582,plain,
( e20 != op2(e21,e20)
| h1(e11) != e20
| h1(e11) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_1_583,plain,
( e20 != op2(e21,e20)
| h1(e11) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_267,refute_1_582]) ).
cnf(refute_1_584,plain,
e20 != op2(e21,e20),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e20)) )],[refute_1_583,refute_1_581]) ).
cnf(refute_1_585,plain,
( op2(e21,e20) != e20
| e20 = op2(e21,e20) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op2(e21,e20))),bind(Y,$fot(e20))]]) ).
cnf(refute_1_586,plain,
op2(e21,e20) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e20)) )],[refute_1_585,refute_1_584]) ).
cnf(refute_1_587,plain,
( e20 != op2(e22,e23)
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_1_577,refute_1_586]) ).
cnf(refute_1_588,plain,
( e20 != e20
| op2(e22,e23) != e20
| e20 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_1_589,plain,
( e20 != e20
| e20 = op2(e22,e23)
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_1_542,refute_1_588]) ).
cnf(refute_1_590,plain,
( e20 != e20
| op2(e21,e22) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e23)) )],[refute_1_589,refute_1_587]) ).
cnf(refute_1_591,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_1_592,plain,
( op2(e21,e22) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_591,refute_1_590]) ).
cnf(refute_1_593,plain,
( op2(e22,e23) != e23
| op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e23,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_1_594,plain,
( op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e21,e22) = e20
| op2(e23,op2(e22,e23)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_1_592,refute_1_593]) ).
cnf(refute_1_595,plain,
( op2(e21,e22) = e20
| op2(e23,op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) )],[refute_1_528,refute_1_594]) ).
cnf(refute_1_596,plain,
( op2(e22,e23) != e23
| op2(e23,op2(e22,e23)) != e23
| op2(e23,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_1_597,plain,
( op2(e23,op2(e22,e23)) != e23
| op2(e21,e22) = e20
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_1_592,refute_1_596]) ).
cnf(refute_1_598,plain,
( op2(e21,e22) = e20
| op2(e23,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e23)),e23) )],[refute_1_595,refute_1_597]) ).
cnf(refute_1_599,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e21)]]) ).
cnf(refute_1_600,plain,
( op2(e23,e23) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_59,refute_1_599]) ).
cnf(refute_1_601,plain,
( e21 = e23
| op2(e21,e22) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_1_598,refute_1_600]) ).
cnf(refute_1_602,plain,
e21 != e23,
inference(canonicalize,[],[normalize_1_107]) ).
cnf(refute_1_603,plain,
( op2(e21,e22) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_1_601,refute_1_602]) ).
cnf(refute_1_604,plain,
( e20 != e20
| op2(e21,e22) != e20
| op2(e21,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e20) ),[1],$fot(e20)]]) ).
cnf(refute_1_605,plain,
( e20 != e20
| op2(e21,e22) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_1_603,refute_1_604]) ).
cnf(refute_1_606,plain,
( e20 != e20
| op2(e21,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_1_605,refute_1_562]) ).
cnf(refute_1_607,plain,
( op2(e21,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_591,refute_1_606]) ).
cnf(refute_1_608,plain,
( e23 != e23
| op2(e21,e23) != e23
| op2(e21,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_1_609,plain,
( e23 != e23
| op2(e21,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_1_607,refute_1_608]) ).
cnf(refute_1_610,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_1_609,refute_1_545]) ).
cnf(refute_1_611,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_193,refute_1_610]) ).
cnf(refute_1_612,plain,
( op2(e22,e23) != e20
| op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e20,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) ),[0,0],$fot(e20)]]) ).
cnf(refute_1_613,plain,
( op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e20,op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_1_611,refute_1_612]) ).
cnf(refute_1_614,plain,
( op2(e20,op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) )],[refute_1_528,refute_1_613]) ).
cnf(refute_1_615,plain,
( op2(e20,op2(e22,e23)) != e23
| op2(e22,e23) != e20
| op2(e20,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e23)),e23) ),[0,1],$fot(e20)]]) ).
cnf(refute_1_616,plain,
( op2(e20,op2(e22,e23)) != e23
| op2(e20,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_1_611,refute_1_615]) ).
cnf(refute_1_617,plain,
( op2(e20,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e23)),e23) )],[refute_1_614,refute_1_616]) ).
cnf(refute_1_618,plain,
( h1(e11) != e20
| h1(e11) != op2(e20,e20)
| e20 = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e20,e20)) ),[0],$fot(e20)]]) ).
cnf(refute_1_619,plain,
( h1(e11) != op2(e20,e20)
| e20 = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_267,refute_1_618]) ).
cnf(refute_1_620,plain,
e20 = op2(e20,e20),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_1_2,refute_1_619]) ).
cnf(refute_1_621,plain,
( e20 != op2(e20,e20)
| op2(e20,e20) = e20 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_1_622,plain,
op2(e20,e20) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e20,e20)) )],[refute_1_620,refute_1_621]) ).
cnf(refute_1_623,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(e20)]]) ).
cnf(refute_1_624,plain,
( op2(e20,e20) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_1_622,refute_1_623]) ).
cnf(refute_1_625,plain,
( e20 = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_1_617,refute_1_624]) ).
cnf(refute_1_626,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_625,refute_1_288]) ).
cnf(refute_1_627,plain,
( op2(op2(e21,e23),op2(e21,e23)) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_1_626,refute_1_471]) ).
cnf(refute_1_628,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_1_108]) ).
cnf(refute_1_629,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_1_630,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_381,refute_1_629]) ).
cnf(refute_1_631,plain,
h3(e11) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_1_630,refute_1_628]) ).
cnf(refute_1_632,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_1_109]) ).
cnf(refute_1_633,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_1_634,plain,
( op2(e20,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_139,refute_1_633]) ).
cnf(refute_1_635,plain,
( e22 = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_1_632,refute_1_634]) ).
cnf(refute_1_636,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e21)]]) ).
cnf(refute_1_637,plain,
( op2(e23,e23) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_59,refute_1_636]) ).
cnf(refute_1_638,plain,
( e21 = e20
| e22 = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_635,refute_1_637]) ).
cnf(refute_1_639,plain,
( e22 = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_1_638,refute_1_272]) ).
cnf(refute_1_640,plain,
e20 != e22,
inference(canonicalize,[],[normalize_1_110]) ).
cnf(refute_1_641,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_1_642,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_641,refute_1_640]) ).
cnf(refute_1_643,plain,
( op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_1_639,refute_1_642]) ).
cnf(refute_1_644,plain,
( h3(e11) != e20
| op2(e22,e23) != e20
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_1_645,plain,
( h3(e11) != e20
| h3(e11) = op2(e22,e23)
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_1_643,refute_1_644]) ).
cnf(refute_1_646,plain,
( h3(e11) != e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_1_645,refute_1_631]) ).
cnf(refute_1_647,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_1_111]) ).
cnf(refute_1_648,plain,
( op2(e22,e20) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_1_649,plain,
( op2(e22,e20) != h3(e11)
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_381,refute_1_648]) ).
cnf(refute_1_650,plain,
op2(e22,e20) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_1_649,refute_1_647]) ).
cnf(refute_1_651,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(canonicalize,[],[normalize_1_112]) ).
cnf(refute_1_652,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_1_651,refute_1_203]) ).
cnf(refute_1_653,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_1_652,refute_1_455]) ).
cnf(refute_1_654,plain,
( e21 != h3(e11)
| op2(e22,e20) != e21
| op2(e22,e20) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[1],$fot(h3(e11))]]) ).
cnf(refute_1_655,plain,
( e21 != h3(e11)
| h1(e11) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_1_653,refute_1_654]) ).
cnf(refute_1_656,plain,
( e21 != h3(e11)
| h1(e11) = e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h3(e11)) )],[refute_1_655,refute_1_650]) ).
cnf(refute_1_657,plain,
( e21 != h3(e11)
| e20 = e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_1_656,refute_1_254]) ).
cnf(refute_1_658,plain,
( e21 != h3(e11)
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_657,refute_1_261]) ).
cnf(refute_1_659,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_1_113]) ).
cnf(refute_1_660,plain,
( e23 != e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_1_191,refute_1_377]) ).
cnf(refute_1_661,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_193,refute_1_660]) ).
cnf(refute_1_662,plain,
( e21 != op2(e20,e22)
| op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_1_663,plain,
( e21 != op2(e20,e22)
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_1_661,refute_1_662]) ).
cnf(refute_1_664,plain,
( e21 != op2(e20,e22)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_1_663,refute_1_659]) ).
cnf(refute_1_665,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_1_114]) ).
cnf(refute_1_666,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_1_115]) ).
cnf(refute_1_667,plain,
( op2(e20,e22) != e22
| op2(e20,e23) != e22
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_1_668,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_139,refute_1_667]) ).
cnf(refute_1_669,plain,
op2(e20,e22) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_1_668,refute_1_666]) ).
cnf(refute_1_670,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_1_665,refute_1_669]) ).
cnf(refute_1_671,plain,
( e21 != e21
| op2(e20,e22) != e21
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_1_672,plain,
( e21 != e21
| e21 = op2(e20,e22)
| op2(e20,e22) = e20
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_1_670,refute_1_671]) ).
cnf(refute_1_673,plain,
( e21 != e21
| op2(e20,e22) = e20
| op2(e20,e22) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_1_672,refute_1_664]) ).
cnf(refute_1_674,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_161,refute_1_673]) ).
cnf(refute_1_675,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_1_116]) ).
cnf(refute_1_676,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_1_677,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_7,refute_1_676]) ).
cnf(refute_1_678,plain,
h1(e11) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_1_677,refute_1_675]) ).
cnf(refute_1_679,plain,
( e20 != op2(e20,e22)
| h1(e11) != e20
| h1(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_1_680,plain,
( e20 != op2(e20,e22)
| h1(e11) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_267,refute_1_679]) ).
cnf(refute_1_681,plain,
e20 != op2(e20,e22),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_1_680,refute_1_678]) ).
cnf(refute_1_682,plain,
( op2(e20,e22) != e20
| e20 = op2(e20,e22) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(e20))]]) ).
cnf(refute_1_683,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_1_682,refute_1_681]) ).
cnf(refute_1_684,plain,
( op2(e20,e22) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_1_674,refute_1_683]) ).
cnf(refute_1_685,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_1_117]) ).
cnf(refute_1_686,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_687,plain,
( op2(e22,e22) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_381,refute_1_686]) ).
cnf(refute_1_688,plain,
( h3(e11) = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_1_685,refute_1_687]) ).
cnf(refute_1_689,plain,
( h3(e11) = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_1_688,refute_1_435]) ).
cnf(refute_1_690,plain,
( op2(e21,e23) != e20
| op2(e22,e23) != e20
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_1_691,plain,
( op2(e21,e23) != e20
| op2(e21,e23) = op2(e22,e23)
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_1_542,refute_1_690]) ).
cnf(refute_1_692,plain,
( op2(e21,e23) != e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_1_691,refute_1_529]) ).
cnf(refute_1_693,plain,
( e20 != e20
| op2(e21,e23) != e20
| op2(e21,e23) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[1],$fot(e20)]]) ).
cnf(refute_1_694,plain,
( e20 != e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_1_574,refute_1_693]) ).
cnf(refute_1_695,plain,
( e20 != e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_1_694,refute_1_692]) ).
cnf(refute_1_696,plain,
( op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_591,refute_1_695]) ).
cnf(refute_1_697,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(canonicalize,[],[normalize_1_118]) ).
cnf(refute_1_698,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_699,plain,
( op2(e22,e22) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_381,refute_1_698]) ).
cnf(refute_1_700,plain,
( h3(e11) = e20
| op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_1_697,refute_1_699]) ).
cnf(refute_1_701,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_1_119]) ).
cnf(refute_1_702,plain,
( op2(e22,e21) != e20
| op2(e23,e21) != e20
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_1_703,plain,
( op2(e22,e21) != e20
| op2(e22,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_1_153,refute_1_702]) ).
cnf(refute_1_704,plain,
op2(e22,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_1_703,refute_1_701]) ).
cnf(refute_1_705,plain,
( h3(e11) = e20
| op2(e22,e20) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_1_700,refute_1_704]) ).
cnf(refute_1_706,plain,
( op2(e22,e23) != e20
| op2(e22,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_1_707,plain,
( op2(e22,e23) != e23
| e20 = e23
| h3(e11) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_1_705,refute_1_706]) ).
cnf(refute_1_708,plain,
( e20 = e23
| h3(e11) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_1_696,refute_1_707]) ).
cnf(refute_1_709,plain,
( h3(e11) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_708,refute_1_288]) ).
cnf(refute_1_710,plain,
( h3(e11) = e20
| op2(e21,e22) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_1_709,refute_1_586]) ).
cnf(refute_1_711,plain,
op2(e20,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_1_120]) ).
cnf(refute_1_712,plain,
( h1(e11) != op2(e22,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_1_713,plain,
( h1(e11) != op2(e22,e20)
| op2(e20,e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_7,refute_1_712]) ).
cnf(refute_1_714,plain,
h1(e11) != op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e22,e20)) )],[refute_1_713,refute_1_711]) ).
cnf(refute_1_715,plain,
( e20 != op2(e22,e20)
| h1(e11) != e20
| h1(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_1_716,plain,
( e20 != op2(e22,e20)
| h1(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_267,refute_1_715]) ).
cnf(refute_1_717,plain,
e20 != op2(e22,e20),
inference(resolve,[$cnf( $equal(h1(e11),op2(e22,e20)) )],[refute_1_716,refute_1_714]) ).
cnf(refute_1_718,plain,
( op2(e22,e20) != e20
| e20 = op2(e22,e20) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op2(e22,e20))),bind(Y,$fot(e20))]]) ).
cnf(refute_1_719,plain,
op2(e22,e20) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e22,e20)) )],[refute_1_718,refute_1_717]) ).
cnf(refute_1_720,plain,
( h3(e11) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_1_710,refute_1_719]) ).
cnf(refute_1_721,plain,
( op2(e21,e22) != e20
| op2(e21,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0],$fot(e20)]]) ).
cnf(refute_1_722,plain,
( op2(e21,e22) != e21
| e20 = e21
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_1_720,refute_1_721]) ).
cnf(refute_1_723,plain,
( e20 = e21
| h3(e11) = e20
| h3(e11) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_1_689,refute_1_722]) ).
cnf(refute_1_724,plain,
( h3(e11) = e20
| h3(e11) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_723,refute_1_261]) ).
cnf(refute_1_725,plain,
( op2(e20,e22) != e21
| op2(e20,e22) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e23) ),[0],$fot(e21)]]) ).
cnf(refute_1_726,plain,
( op2(e20,e22) != e23
| e21 = e23
| h3(e11) = e20
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_1_724,refute_1_725]) ).
cnf(refute_1_727,plain,
( e21 = e23
| h3(e11) = e20
| h3(e11) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_1_684,refute_1_726]) ).
cnf(refute_1_728,plain,
( h3(e11) = e20
| h3(e11) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_1_727,refute_1_602]) ).
cnf(refute_1_729,plain,
( e21 != e21
| h3(e11) != e21
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_1_730,plain,
( e21 != e21
| e21 = h3(e11)
| h3(e11) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_728,refute_1_729]) ).
cnf(refute_1_731,plain,
( e21 != e21
| h3(e11) = e20
| op2(e21,e20) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_1_730,refute_1_658]) ).
cnf(refute_1_732,plain,
( h3(e11) = e20
| op2(e21,e20) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_161,refute_1_731]) ).
cnf(refute_1_733,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 ),
inference(canonicalize,[],[normalize_1_121]) ).
cnf(refute_1_734,plain,
( ~ definitionFOFtoCNF_3
| op2(op2(e21,e20),op2(e21,e20)) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_1_470,refute_1_733]) ).
cnf(refute_1_735,plain,
( op2(op2(e21,e20),op2(e21,e20)) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_1_626,refute_1_734]) ).
cnf(refute_1_736,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_1_122]) ).
cnf(refute_1_737,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_1_123]) ).
cnf(refute_1_738,plain,
( op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e22)
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_1_443,refute_1_448]) ).
cnf(refute_1_739,plain,
( op2(e23,e20) != e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_1_738,refute_1_423]) ).
cnf(refute_1_740,plain,
( e22 != e22
| op2(e23,e20) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_463,refute_1_739]) ).
cnf(refute_1_741,plain,
( op2(e23,e20) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_465,refute_1_740]) ).
cnf(refute_1_742,plain,
( op2(e20,e22) != e23
| op2(e23,e22) != e23
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_1_743,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e23,e22)
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_1_741,refute_1_742]) ).
cnf(refute_1_744,plain,
( op2(e20,e22) != e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_1_743,refute_1_737]) ).
cnf(refute_1_745,plain,
( e23 != e23
| op2(e20,e22) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_1_684,refute_1_413]) ).
cnf(refute_1_746,plain,
( e23 != e23
| op2(e23,e20) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_1_745,refute_1_744]) ).
cnf(refute_1_747,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_193,refute_1_746]) ).
cnf(refute_1_748,plain,
( op2(e21,e20) != e23
| op2(e23,e20) != e23
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_1_749,plain,
( op2(e21,e20) != e23
| op2(e21,e20) = op2(e23,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_1_747,refute_1_748]) ).
cnf(refute_1_750,plain,
( op2(e21,e20) != e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_1_749,refute_1_736]) ).
cnf(refute_1_751,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(canonicalize,[],[normalize_1_124]) ).
cnf(refute_1_752,plain,
( op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_1_751,refute_1_586]) ).
cnf(refute_1_753,plain,
( e23 != e23
| op2(e21,e20) != e23
| op2(e21,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[1],$fot(e23)]]) ).
cnf(refute_1_754,plain,
( e23 != e23
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_1_752,refute_1_753]) ).
cnf(refute_1_755,plain,
( e23 != e23
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_1_754,refute_1_750]) ).
cnf(refute_1_756,plain,
( op2(e21,e20) = e21
| op2(e21,e20) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_193,refute_1_755]) ).
cnf(refute_1_757,plain,
( op2(e21,e20) != e21
| op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(e21,op2(e21,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),op2(e21,e20)),e20) ),[0,0],$fot(e21)]]) ).
cnf(refute_1_758,plain,
( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(e21,e20) = e22
| op2(e21,op2(e21,e20)) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_1_756,refute_1_757]) ).
cnf(refute_1_759,plain,
( op2(e21,e20) = e22
| op2(e21,op2(e21,e20)) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),op2(e21,e20)),e20) )],[refute_1_735,refute_1_758]) ).
cnf(refute_1_760,plain,
( op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) != e20
| op2(e21,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e20)),e20) ),[0,1],$fot(e21)]]) ).
cnf(refute_1_761,plain,
( op2(e21,op2(e21,e20)) != e20
| op2(e21,e20) = e22
| op2(e21,e21) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_1_756,refute_1_760]) ).
cnf(refute_1_762,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),e20) )],[refute_1_759,refute_1_761]) ).
cnf(refute_1_763,plain,
( h2(e11) = e20
| op2(e21,e20) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_1_762,refute_1_565]) ).
cnf(refute_1_764,plain,
( op2(e21,e20) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_1_763,refute_1_573]) ).
cnf(refute_1_765,plain,
( op2(e21,e20) != e21
| op2(e21,e20) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0],$fot(e22)]]) ).
cnf(refute_1_766,plain,
( op2(e21,e20) != e21
| e22 = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_1_764,refute_1_765]) ).
cnf(refute_1_767,plain,
( e22 = e21
| h3(e11) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_1_732,refute_1_766]) ).
cnf(refute_1_768,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_125]) ).
cnf(refute_1_769,plain,
( e22 != op2(e23,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_1_770,plain,
( e22 != op2(e23,e23)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_139,refute_1_769]) ).
cnf(refute_1_771,plain,
( e22 != e21
| op2(e23,e23) != e21
| e22 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_1_772,plain,
( e22 != e21
| e22 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_59,refute_1_771]) ).
cnf(refute_1_773,plain,
( e22 != e21
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_1_772,refute_1_770]) ).
cnf(refute_1_774,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_1_773,refute_1_768]) ).
cnf(refute_1_775,plain,
( h3(e11) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_1_767,refute_1_774]) ).
cnf(refute_1_776,plain,
( e20 != e20
| h3(e11) != e20
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e20) ),[1],$fot(e20)]]) ).
cnf(refute_1_777,plain,
( e20 != e20
| h3(e11) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_1_775,refute_1_776]) ).
cnf(refute_1_778,plain,
( e20 != e20
| op2(e21,e23) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_1_777,refute_1_646]) ).
cnf(refute_1_779,plain,
( op2(e21,e23) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_591,refute_1_778]) ).
cnf(refute_1_780,plain,
( op2(e21,e23) != e20
| op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(e20,op2(e21,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) ),[0,0],$fot(e20)]]) ).
cnf(refute_1_781,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(e20,op2(e21,e23)) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_1_779,refute_1_780]) ).
cnf(refute_1_782,plain,
( op2(e20,op2(e21,e23)) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) )],[refute_1_627,refute_1_781]) ).
cnf(refute_1_783,plain,
( op2(e20,op2(e21,e23)) != e23
| op2(e21,e23) != e20
| op2(e20,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e23)),e23) ),[0,1],$fot(e20)]]) ).
cnf(refute_1_784,plain,
( op2(e20,op2(e21,e23)) != e23
| op2(e20,e20) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_1_779,refute_1_783]) ).
cnf(refute_1_785,plain,
( op2(e20,e20) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),e23) )],[refute_1_782,refute_1_784]) ).
cnf(refute_1_786,plain,
( e20 = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_1_785,refute_1_624]) ).
cnf(refute_1_787,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_786,refute_1_288]) ).
cnf(refute_1_788,plain,
( ~ definitionFOFtoCNF_0
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_1_787,refute_1_293]) ).
cnf(refute_1_789,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 ),
inference(canonicalize,[],[normalize_1_128]) ).
cnf(refute_1_790,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_1_129]) ).
cnf(refute_1_791,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_1_134]) ).
cnf(refute_1_792,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_1_793,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_1_794,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_1_792,refute_1_793]) ).
cnf(refute_1_795,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_75,refute_1_794]) ).
cnf(refute_1_796,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_1_797,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_1_798,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_1_796,refute_1_797]) ).
cnf(refute_1_799,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_75,refute_1_798]) ).
cnf(refute_1_800,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_1_801,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_1_799,refute_1_800]) ).
cnf(refute_1_802,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_1_795,refute_1_801]) ).
cnf(refute_1_803,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e13
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| op1(e11,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e13) ),[0],$fot(op1(e11,e11))]]) ).
cnf(refute_1_804,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_1_802,refute_1_803]) ).
cnf(refute_1_805,plain,
( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e13) )],[refute_1_791,refute_1_804]) ).
cnf(refute_1_806,plain,
( op1(e10,e11) != e13
| op1(e11,e11) != e13
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_1_807,plain,
( op1(e10,e11) != e13
| op1(e10,e11) = op1(e11,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_1_805,refute_1_806]) ).
cnf(refute_1_808,plain,
( op1(e10,e11) != e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_1_807,refute_1_790]) ).
cnf(refute_1_809,plain,
( e13 != e13
| op1(e10,e11) != e13
| op1(e10,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_1_810,plain,
( e13 != e13
| op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_1_88,refute_1_809]) ).
cnf(refute_1_811,plain,
( e13 != e13
| op1(e10,e11) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_1_810,refute_1_808]) ).
cnf(refute_1_812,plain,
( op1(e10,e11) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_101,refute_1_811]) ).
cnf(refute_1_813,plain,
( op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_812,refute_1_166]) ).
cnf(refute_1_814,plain,
( op1(e10,e10) != e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_1_813,refute_1_66]) ).
cnf(refute_1_815,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_1_135]) ).
cnf(refute_1_816,plain,
op1(e10,op1(e13,e11)) = op1(e10,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e11)))]]) ).
cnf(refute_1_817,plain,
( op1(e10,op1(e13,e11)) != op1(e10,op1(e13,e11))
| op1(e13,e11) != e10
| op1(e10,op1(e13,e11)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,op1(e13,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_1_818,plain,
( op1(e13,e11) != e10
| op1(e10,op1(e13,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,op1(e13,e11))) )],[refute_1_816,refute_1_817]) ).
cnf(refute_1_819,plain,
op1(e10,op1(e13,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_1_84,refute_1_818]) ).
cnf(refute_1_820,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(op1(e13,e11),op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e11),op1(e13,e11)))]]) ).
cnf(refute_1_821,plain,
( op1(e13,e11) != e10
| op1(op1(e13,e11),op1(e13,e11)) != op1(op1(e13,e11),op1(e13,e11))
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(op1(e13,e11),op1(e13,e11))) ),[1,0],$fot(e10)]]) ).
cnf(refute_1_822,plain,
( op1(e13,e11) != e10
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(op1(e13,e11),op1(e13,e11))) )],[refute_1_820,refute_1_821]) ).
cnf(refute_1_823,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_1_84,refute_1_822]) ).
cnf(refute_1_824,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e10)
| op1(op1(e13,e11),op1(e13,e11)) != op1(e10,op1(e13,e11))
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op1(op1(e13,e11),op1(e13,e11)))),bind(Y,$fot(op1(e10,op1(e13,e11)))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_1_825,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e10)
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(e10,op1(e13,e11))) )],[refute_1_823,refute_1_824]) ).
cnf(refute_1_826,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,e10)) )],[refute_1_819,refute_1_825]) ).
cnf(refute_1_827,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| op1(op1(e13,e11),op1(e13,e11)) != op1(e10,e10)
| op1(e10,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),e11) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_1_828,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(e10,e10)) )],[refute_1_826,refute_1_827]) ).
cnf(refute_1_829,plain,
( op1(e10,e10) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),e11) )],[refute_1_815,refute_1_828]) ).
cnf(refute_1_830,plain,
( e11 != e11
| op1(e10,e10) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_829,refute_1_179]) ).
cnf(refute_1_831,plain,
( e11 != e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_830,refute_1_814]) ).
cnf(refute_1_832,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_182,refute_1_831]) ).
cnf(refute_1_833,plain,
( op1(op1(e12,e13),op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_1_832,refute_1_789]) ).
cnf(refute_1_834,plain,
( op1(e11,e13) != e13
| op1(e12,e13) != e13
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_1_835,plain,
( op1(e11,e13) != e13
| op1(e11,e13) = op1(e12,e13)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_1_332,refute_1_834]) ).
cnf(refute_1_836,plain,
( op1(e11,e13) != e13
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_1_835,refute_1_300]) ).
cnf(refute_1_837,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e12),op1(e12,e12)) = e12 ),
inference(canonicalize,[],[normalize_1_136]) ).
cnf(refute_1_838,plain,
( op1(op1(e12,e12),op1(e12,e12)) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_1_832,refute_1_837]) ).
cnf(refute_1_839,plain,
( e10 != op1(e12,e13)
| op1(e11,e13) != e10
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e10) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_1_840,plain,
( e10 != op1(e12,e13)
| op1(e11,e13) = e13
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_1_352,refute_1_839]) ).
cnf(refute_1_841,plain,
( e10 != op1(e12,e13)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_1_840,refute_1_300]) ).
cnf(refute_1_842,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(canonicalize,[],[normalize_1_137]) ).
cnf(refute_1_843,plain,
op1(e12,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_1_138]) ).
cnf(refute_1_844,plain,
( op1(e12,e11) != e10
| op1(e13,e11) != e10
| op1(e12,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_1_845,plain,
( op1(e12,e11) != e10
| op1(e12,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_1_84,refute_1_844]) ).
cnf(refute_1_846,plain,
op1(e12,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e13,e11)) )],[refute_1_845,refute_1_843]) ).
cnf(refute_1_847,plain,
( op1(e12,e10) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_1_842,refute_1_846]) ).
cnf(refute_1_848,plain,
( e10 != e10
| op1(e12,e13) != e10
| e10 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_1_849,plain,
( e10 != e10
| e10 = op1(e12,e13)
| op1(e12,e10) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_1_847,refute_1_848]) ).
cnf(refute_1_850,plain,
( e10 != e10
| op1(e11,e13) = e13
| op1(e12,e10) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(e10,op1(e12,e13)) )],[refute_1_849,refute_1_841]) ).
cnf(refute_1_851,plain,
( op1(e11,e13) = e13
| op1(e12,e10) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_1_356,refute_1_850]) ).
cnf(refute_1_852,plain,
op1(e10,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_1_139]) ).
cnf(refute_1_853,plain,
( e10 != op1(e12,e10)
| op1(e10,e10) != e10
| op1(e10,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_1_854,plain,
( e10 != op1(e12,e10)
| op1(e10,e10) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_292,refute_1_853]) ).
cnf(refute_1_855,plain,
e10 != op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e12,e10)) )],[refute_1_854,refute_1_852]) ).
cnf(refute_1_856,plain,
( op1(e12,e10) != e10
| e10 = op1(e12,e10) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op1(e12,e10))),bind(Y,$fot(e10))]]) ).
cnf(refute_1_857,plain,
op1(e12,e10) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e12,e10)) )],[refute_1_856,refute_1_855]) ).
cnf(refute_1_858,plain,
( op1(e11,e13) = e13
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_1_851,refute_1_857]) ).
cnf(refute_1_859,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(e10,op1(e12,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e12) ),[0,0],$fot(e10)]]) ).
cnf(refute_1_860,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(e10,op1(e12,e12)) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_1_858,refute_1_859]) ).
cnf(refute_1_861,plain,
( op1(e10,op1(e12,e12)) = e12
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e12) )],[refute_1_838,refute_1_860]) ).
cnf(refute_1_862,plain,
( op1(e10,op1(e12,e12)) != e12
| op1(e12,e12) != e10
| op1(e10,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),e12) ),[0,1],$fot(e10)]]) ).
cnf(refute_1_863,plain,
( op1(e10,op1(e12,e12)) != e12
| op1(e10,e10) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_1_858,refute_1_862]) ).
cnf(refute_1_864,plain,
( op1(e10,e10) = e12
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),e12) )],[refute_1_861,refute_1_863]) ).
cnf(refute_1_865,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[0],$fot(e10)]]) ).
cnf(refute_1_866,plain,
( op1(e10,e10) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_292,refute_1_865]) ).
cnf(refute_1_867,plain,
( e10 = e12
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_1_864,refute_1_866]) ).
cnf(refute_1_868,plain,
e10 != e12,
inference(canonicalize,[],[normalize_1_140]) ).
cnf(refute_1_869,plain,
( op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_1_867,refute_1_868]) ).
cnf(refute_1_870,plain,
( e13 != e13
| op1(e11,e13) != e13
| op1(e11,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_1_871,plain,
( e13 != e13
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_1_869,refute_1_870]) ).
cnf(refute_1_872,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_1_871,refute_1_836]) ).
cnf(refute_1_873,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_101,refute_1_872]) ).
cnf(refute_1_874,plain,
( op1(e12,e13) != e10
| op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e10,op1(e12,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) ),[0,0],$fot(e10)]]) ).
cnf(refute_1_875,plain,
( op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e10,op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_1_873,refute_1_874]) ).
cnf(refute_1_876,plain,
( op1(e10,op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) )],[refute_1_833,refute_1_875]) ).
cnf(refute_1_877,plain,
( op1(e10,op1(e12,e13)) != e13
| op1(e12,e13) != e10
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e13)),e13) ),[0,1],$fot(e10)]]) ).
cnf(refute_1_878,plain,
( op1(e10,op1(e12,e13)) != e13
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_1_873,refute_1_877]) ).
cnf(refute_1_879,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e13)),e13) )],[refute_1_876,refute_1_878]) ).
cnf(refute_1_880,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[0],$fot(e10)]]) ).
cnf(refute_1_881,plain,
( op1(e10,e10) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_292,refute_1_880]) ).
cnf(refute_1_882,plain,
( e10 = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_1_879,refute_1_881]) ).
cnf(refute_1_883,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_1_882,refute_1_281]) ).
cnf(refute_1_884,plain,
op1(op1(e11,e13),op1(e11,e13)) = e13,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_1_883,refute_1_788]) ).
cnf(refute_1_885,plain,
( op1(e11,e13) != e13
| op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(op1(e11,e13),e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_1_886,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(e11,e13) = e10
| op1(op1(e11,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_1_352,refute_1_885]) ).
cnf(refute_1_887,plain,
( op1(e11,e13) = e10
| op1(op1(e11,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) )],[refute_1_884,refute_1_886]) ).
cnf(refute_1_888,plain,
( op1(e11,e13) != e13
| op1(op1(e11,e13),e13) != e13
| op1(e13,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_1_889,plain,
( op1(op1(e11,e13),e13) != e13
| op1(e11,e13) = e10
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_1_352,refute_1_888]) ).
cnf(refute_1_890,plain,
( op1(e11,e13) = e10
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),e13) )],[refute_1_887,refute_1_889]) ).
cnf(refute_1_891,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_1_892,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_75,refute_1_891]) ).
cnf(refute_1_893,plain,
( e11 = e13
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_1_890,refute_1_892]) ).
cnf(refute_1_894,plain,
op1(e11,e13) = e10,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_1_893,refute_1_230]) ).
cnf(refute_1_895,plain,
op1(e10,op1(e11,e13)) = op1(e10,op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e11,e13)))]]) ).
cnf(refute_1_896,plain,
( op1(e10,op1(e11,e13)) != op1(e10,op1(e11,e13))
| op1(e11,e13) != e10
| op1(e10,op1(e11,e13)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,op1(e11,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_1_897,plain,
( op1(e11,e13) != e10
| op1(e10,op1(e11,e13)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,op1(e11,e13))) )],[refute_1_895,refute_1_896]) ).
cnf(refute_1_898,plain,
op1(e10,op1(e11,e13)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_1_894,refute_1_897]) ).
cnf(refute_1_899,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(op1(e11,e13),op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e11,e13),op1(e11,e13)))]]) ).
cnf(refute_1_900,plain,
( op1(e11,e13) != e10
| op1(op1(e11,e13),op1(e11,e13)) != op1(op1(e11,e13),op1(e11,e13))
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(op1(e11,e13),op1(e11,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_1_901,plain,
( op1(e11,e13) != e10
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(op1(e11,e13),op1(e11,e13))) )],[refute_1_899,refute_1_900]) ).
cnf(refute_1_902,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_1_894,refute_1_901]) ).
cnf(refute_1_903,plain,
( op1(e10,op1(e11,e13)) != op1(e10,e10)
| op1(op1(e11,e13),op1(e11,e13)) != op1(e10,op1(e11,e13))
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op1(op1(e11,e13),op1(e11,e13)))),bind(Y,$fot(op1(e10,op1(e11,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_1_904,plain,
( op1(e10,op1(e11,e13)) != op1(e10,e10)
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(e10,op1(e11,e13))) )],[refute_1_902,refute_1_903]) ).
cnf(refute_1_905,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,e10)) )],[refute_1_898,refute_1_904]) ).
cnf(refute_1_906,plain,
( op1(e10,e10) != e10
| op1(op1(e11,e13),op1(e11,e13)) != op1(e10,e10)
| op1(op1(e11,e13),op1(e11,e13)) = e10 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op1(op1(e11,e13),op1(e11,e13)))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e10))]]) ).
cnf(refute_1_907,plain,
( op1(e10,e10) != e10
| op1(op1(e11,e13),op1(e11,e13)) = e10 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(e10,e10)) )],[refute_1_905,refute_1_906]) ).
cnf(refute_1_908,plain,
op1(op1(e11,e13),op1(e11,e13)) = e10,
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_292,refute_1_907]) ).
cnf(refute_1_909,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e10
| op1(op1(e11,e13),op1(e11,e13)) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) ),[0],$fot(e10)]]) ).
cnf(refute_1_910,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e10) )],[refute_1_908,refute_1_909]) ).
cnf(refute_1_911,plain,
e10 = e13,
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) )],[refute_1_884,refute_1_910]) ).
cnf(refute_1_912,plain,
( e10 != e13
| e13 = e10 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e10)),bind(Y,$fot(e13))]]) ).
cnf(refute_1_913,plain,
e13 = e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_1_911,refute_1_912]) ).
cnf(refute_1_914,plain,
op1(e10,e13) = op1(e10,e13),
introduced(tautology,[refl,[$fot(op1(e10,e13))]]) ).
cnf(refute_1_915,plain,
( e13 != e10
| op1(e10,e13) != op1(e10,e13)
| op1(e10,e13) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),op1(e10,e13)) ),[1,1],$fot(e10)]]) ).
cnf(refute_1_916,plain,
( e13 != e10
| op1(e10,e13) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e10,e13)) )],[refute_1_914,refute_1_915]) ).
cnf(refute_1_917,plain,
op1(e10,e13) = op1(e10,e10),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_1_913,refute_1_916]) ).
cnf(refute_1_918,plain,
op1(e13,e13) = op1(e13,e13),
introduced(tautology,[refl,[$fot(op1(e13,e13))]]) ).
cnf(refute_1_919,plain,
( e13 != e10
| op1(e13,e13) != op1(e13,e13)
| op1(e13,e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),op1(e13,e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_1_920,plain,
( e13 != e10
| op1(e13,e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e13,e13)) )],[refute_1_918,refute_1_919]) ).
cnf(refute_1_921,plain,
op1(e13,e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_1_913,refute_1_920]) ).
cnf(refute_1_922,plain,
( op1(e10,e13) != op1(e10,e10)
| op1(e13,e13) != op1(e10,e13)
| op1(e13,e13) = op1(e10,e10) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op1(e13,e13))),bind(Y,$fot(op1(e10,e13))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_1_923,plain,
( op1(e10,e13) != op1(e10,e10)
| op1(e13,e13) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e10,e13)) )],[refute_1_921,refute_1_922]) ).
cnf(refute_1_924,plain,
op1(e13,e13) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e10,e10)) )],[refute_1_917,refute_1_923]) ).
cnf(refute_1_925,plain,
( op1(e10,e10) != e10
| op1(e13,e13) != op1(e10,e10)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op1(e13,e13))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e10))]]) ).
cnf(refute_1_926,plain,
( op1(e10,e10) != e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e10,e10)) )],[refute_1_924,refute_1_925]) ).
cnf(refute_1_927,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_292,refute_1_926]) ).
cnf(refute_1_928,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) != e10
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,e10) ),[0],$fot(op1(e13,e13))]]) ).
cnf(refute_1_929,plain,
( e11 != op1(e13,e13)
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_927,refute_1_928]) ).
cnf(refute_1_930,plain,
e11 = e10,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_1_0,refute_1_929]) ).
cnf(refute_1_931,plain,
e10 != e11,
inference(canonicalize,[],[normalize_1_141]) ).
cnf(refute_1_932,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_1_933,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_1_932,refute_1_931]) ).
cnf(refute_1_934,plain,
$false,
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_1_930,refute_1_933]) ).
fof(negate_2_0,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 )
& ( 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)) ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_2_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_3,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_2_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_5,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_2_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_2_5]) ).
fof(normalize_2_7,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_2_0,normalize_2_2,normalize_2_4,normalize_2_6]) ).
fof(normalize_2_8,plain,
h4(op1(e10,e12)) != op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_2_7]) ).
fof(normalize_2_9,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_2_10,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_2_9]) ).
fof(normalize_2_11,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_2_12,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_2_11]) ).
fof(normalize_2_13,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_2_11]) ).
fof(normalize_2_14,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_2_9]) ).
fof(normalize_2_15,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_2_9]) ).
fof(normalize_2_16,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_2_11]) ).
fof(normalize_2_17,plain,
( ( 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(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_2_18,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(conjunct,[],[normalize_2_17]) ).
fof(normalize_2_19,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_2_20,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_21,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_22,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,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) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_2_23,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_24,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_25,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_2_7]) ).
fof(normalize_2_26,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_27,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_2_28,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(conjunct,[],[normalize_2_27]) ).
fof(normalize_2_29,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_30,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(conjunct,[],[normalize_2_17]) ).
fof(normalize_2_31,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_2_32,plain,
e10 != e12,
inference(conjunct,[],[normalize_2_31]) ).
fof(normalize_2_33,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_34,plain,
( ( 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(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_2_35,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_2_34]) ).
fof(normalize_2_36,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_2_37,plain,
e20 != e22,
inference(conjunct,[],[normalize_2_36]) ).
fof(normalize_2_38,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,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) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_2_39,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_2_38]) ).
fof(normalize_2_40,plain,
e20 != e21,
inference(conjunct,[],[normalize_2_36]) ).
fof(normalize_2_41,plain,
op1(e10,e10) != op1(e10,e11),
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_42,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(conjunct,[],[normalize_2_27]) ).
fof(normalize_2_43,plain,
op1(e10,e11) != op1(e10,e13),
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_44,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_2_9]) ).
fof(normalize_2_45,plain,
e10 != e13,
inference(conjunct,[],[normalize_2_31]) ).
fof(normalize_2_46,plain,
e20 != e23,
inference(conjunct,[],[normalize_2_36]) ).
fof(normalize_2_47,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_48,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_2_17]) ).
fof(normalize_2_49,plain,
e12 != e13,
inference(conjunct,[],[normalize_2_31]) ).
fof(normalize_2_50,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_2_38]) ).
fof(normalize_2_51,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_2_7]) ).
fof(normalize_2_52,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_2_38]) ).
fof(normalize_2_53,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_2_54,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_2_53]) ).
fof(normalize_2_55,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_2_38]) ).
fof(normalize_2_56,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_2_34]) ).
fof(normalize_2_57,plain,
e22 != e23,
inference(conjunct,[],[normalize_2_36]) ).
fof(normalize_2_58,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_59,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_2_27]) ).
fof(normalize_2_60,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_61,plain,
e11 != e13,
inference(conjunct,[],[normalize_2_31]) ).
fof(normalize_2_62,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(conjunct,[],[normalize_2_34]) ).
fof(normalize_2_63,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_2_38]) ).
fof(normalize_2_64,plain,
e21 != e23,
inference(conjunct,[],[normalize_2_36]) ).
cnf(refute_2_0,plain,
h4(op1(e10,e12)) != op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_2_8]) ).
cnf(refute_2_1,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_2_10]) ).
cnf(refute_2_2,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_2_12]) ).
cnf(refute_2_3,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_2_13]) ).
cnf(refute_2_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_2_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_2_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_2_4,refute_2_5]) ).
cnf(refute_2_7,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_2_8,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_2_3,refute_2_7]) ).
cnf(refute_2_9,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_2_10,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_11,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_2_9,refute_2_10]) ).
cnf(refute_2_12,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_2_8,refute_2_11]) ).
cnf(refute_2_13,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_2_14,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_2_12,refute_2_13]) ).
cnf(refute_2_15,plain,
e22 = op2(e20,e23),
inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),e23)) )],[refute_2_2,refute_2_14]) ).
cnf(refute_2_16,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_2_17,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_2_15,refute_2_16]) ).
cnf(refute_2_18,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_2_19,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_2_6,refute_2_18]) ).
cnf(refute_2_20,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(subst,[],[refute_2_19:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_2_21,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_2_12,refute_2_20]) ).
cnf(refute_2_22,plain,
op2(op2(e23,op2(e23,e23)),e23) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_2_17,refute_2_21]) ).
cnf(refute_2_23,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_2_24,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),e22) )],[refute_2_22,refute_2_23]) ).
cnf(refute_2_25,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_2_1,refute_2_24]) ).
cnf(refute_2_26,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_2_27,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) != op2(e20,h4(e12))
| op2(e20,h4(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_2_28,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_2_26,refute_2_27]) ).
cnf(refute_2_29,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_2_25,refute_2_28]) ).
cnf(refute_2_30,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_2_14]) ).
cnf(refute_2_31,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_2_32,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_2_8,refute_2_31]) ).
cnf(refute_2_33,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_2_30,refute_2_32]) ).
cnf(refute_2_34,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_2_35,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_36,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_2_34,refute_2_35]) ).
cnf(refute_2_37,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_33,refute_2_36]) ).
cnf(refute_2_38,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_2_19:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_2_39,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_2_37,refute_2_38]) ).
cnf(refute_2_40,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_2_29,refute_2_39]) ).
cnf(refute_2_41,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_2_42,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_2_40,refute_2_41]) ).
cnf(refute_2_43,plain,
h4(op1(e10,e12)) != op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_2_42,refute_2_0]) ).
cnf(refute_2_44,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_2_15]) ).
cnf(refute_2_45,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_2_16]) ).
cnf(refute_2_46,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_2_47,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_2_45,refute_2_46]) ).
cnf(refute_2_48,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_2_49,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_47,refute_2_48]) ).
cnf(refute_2_50,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_2_44,refute_2_49]) ).
cnf(refute_2_51,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(canonicalize,[],[normalize_2_18]) ).
cnf(refute_2_52,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(canonicalize,[],[normalize_2_20]) ).
cnf(refute_2_53,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_2_21]) ).
cnf(refute_2_54,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = e10 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).
cnf(refute_2_55,plain,
op1(e13,op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_2_53,refute_2_54]) ).
cnf(refute_2_56,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(op1(e13,op1(e13,e13)),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_2_57,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_2_58,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) )],[refute_2_56,refute_2_57]) ).
cnf(refute_2_59,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_2_55,refute_2_58]) ).
cnf(refute_2_60,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) != op1(e10,e13)
| e12 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e13)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_2_61,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| e12 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(e10,e13)) )],[refute_2_59,refute_2_60]) ).
cnf(refute_2_62,plain,
e12 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),e13)) )],[refute_2_52,refute_2_61]) ).
cnf(refute_2_63,plain,
( e12 != op1(e10,e13)
| op1(e10,e13) = e12 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_2_64,plain,
op1(e10,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_2_62,refute_2_63]) ).
cnf(refute_2_65,plain,
( op1(e10,e13) != e11
| op1(e10,e13) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[0],$fot(e12)]]) ).
cnf(refute_2_66,plain,
( op1(e10,e13) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_2_64,refute_2_65]) ).
cnf(refute_2_67,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_2_51,refute_2_66]) ).
cnf(refute_2_68,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_23]) ).
cnf(refute_2_69,plain,
( e12 != op1(e13,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e13,e13))]]) ).
cnf(refute_2_70,plain,
( e12 != op1(e13,e13)
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_2_64,refute_2_69]) ).
cnf(refute_2_71,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_2_24]) ).
cnf(refute_2_72,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_2_73,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_2_71,refute_2_72]) ).
cnf(refute_2_74,plain,
( e12 != e11
| op1(e13,e13) != e11
| e12 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_75,plain,
( e12 != e11
| e12 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_73,refute_2_74]) ).
cnf(refute_2_76,plain,
( e12 != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_2_75,refute_2_70]) ).
cnf(refute_2_77,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_2_76,refute_2_68]) ).
cnf(refute_2_78,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_2_67,refute_2_77]) ).
cnf(refute_2_79,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_2_25]) ).
cnf(refute_2_80,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_2_26]) ).
cnf(refute_2_81,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_2_82,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_2_80,refute_2_81]) ).
cnf(refute_2_83,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_2_84,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_2_85,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_2_83,refute_2_84]) ).
cnf(refute_2_86,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_33,refute_2_85]) ).
cnf(refute_2_87,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_2_88,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_89,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_2_87,refute_2_88]) ).
cnf(refute_2_90,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_33,refute_2_89]) ).
cnf(refute_2_91,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_2_19:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_2_92,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_2_90,refute_2_91]) ).
cnf(refute_2_93,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_2_86,refute_2_92]) ).
cnf(refute_2_94,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_2_19:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_2_95,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_2_93,refute_2_94]) ).
cnf(refute_2_96,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_82,refute_2_95]) ).
cnf(refute_2_97,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_2_98,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_2_96,refute_2_97]) ).
cnf(refute_2_99,plain,
h4(op1(e10,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_2_79,refute_2_98]) ).
cnf(refute_2_100,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(canonicalize,[],[normalize_2_28]) ).
cnf(refute_2_101,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_2_29]) ).
cnf(refute_2_102,plain,
( op1(e10,e10) != e12
| op1(e10,e13) != e12
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_2_103,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_2_64,refute_2_102]) ).
cnf(refute_2_104,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_2_103,refute_2_101]) ).
cnf(refute_2_105,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_2_100,refute_2_104]) ).
cnf(refute_2_106,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e11
| h4(e11) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e11)]]) ).
cnf(refute_2_107,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e11) = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_105,refute_2_106]) ).
cnf(refute_2_108,plain,
( h4(e11) = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_2_99,refute_2_107]) ).
cnf(refute_2_109,plain,
( h4(e11) != e21
| h4(e11) != h1(e11)
| e21 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h1(e11)) ),[0],$fot(e21)]]) ).
cnf(refute_2_110,plain,
( h4(e11) != h1(e11)
| e21 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_2_50,refute_2_109]) ).
cnf(refute_2_111,plain,
( e21 = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_2_108,refute_2_110]) ).
cnf(refute_2_112,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(canonicalize,[],[normalize_2_30]) ).
cnf(refute_2_113,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_2_114,plain,
( op1(e10,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_2_64,refute_2_113]) ).
cnf(refute_2_115,plain,
( e12 = e10
| op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_2_112,refute_2_114]) ).
cnf(refute_2_116,plain,
e10 != e12,
inference(canonicalize,[],[normalize_2_32]) ).
cnf(refute_2_117,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_2_118,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_2_117,refute_2_116]) ).
cnf(refute_2_119,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_2_115,refute_2_118]) ).
cnf(refute_2_120,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_2_33]) ).
cnf(refute_2_121,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_2_122,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_2_123,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_2_121,refute_2_122]) ).
cnf(refute_2_124,plain,
op1(e13,op1(e13,e13)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_73,refute_2_123]) ).
cnf(refute_2_125,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e11)
| e10 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_2_126,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e11)) )],[refute_2_124,refute_2_125]) ).
cnf(refute_2_127,plain,
e10 = op1(e13,e11),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_2_53,refute_2_126]) ).
cnf(refute_2_128,plain,
( e10 != op1(e13,e11)
| op1(e13,e11) = e10 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_2_129,plain,
op1(e13,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e11)) )],[refute_2_127,refute_2_128]) ).
cnf(refute_2_130,plain,
( op1(e10,e11) != e10
| op1(e13,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_2_131,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_2_129,refute_2_130]) ).
cnf(refute_2_132,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_2_131,refute_2_120]) ).
cnf(refute_2_133,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_2_119,refute_2_132]) ).
cnf(refute_2_134,plain,
( h4(e10) != op2(e20,e22)
| op1(e10,e12) != e10
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e10)]]) ).
cnf(refute_2_135,plain,
( h4(e10) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_2_133,refute_2_134]) ).
cnf(refute_2_136,plain,
( h4(e10) != op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_2_135,refute_2_43]) ).
cnf(refute_2_137,plain,
( e20 != op2(e20,e22)
| h4(e10) != e20
| h4(e10) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_2_138,plain,
( e20 != op2(e20,e22)
| h4(e10) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_33,refute_2_137]) ).
cnf(refute_2_139,plain,
( e20 != op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e22)) )],[refute_2_138,refute_2_136]) ).
cnf(refute_2_140,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_2_35]) ).
cnf(refute_2_141,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_2_142,plain,
( op2(e20,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_82,refute_2_141]) ).
cnf(refute_2_143,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_2_140,refute_2_142]) ).
cnf(refute_2_144,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_2_145,plain,
( op2(e20,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_2_17,refute_2_144]) ).
cnf(refute_2_146,plain,
( e22 = e20
| h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_2_143,refute_2_145]) ).
cnf(refute_2_147,plain,
e20 != e22,
inference(canonicalize,[],[normalize_2_37]) ).
cnf(refute_2_148,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_2_149,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_2_148,refute_2_147]) ).
cnf(refute_2_150,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_2_146,refute_2_149]) ).
cnf(refute_2_151,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_2_39]) ).
cnf(refute_2_152,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_2_153,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_2_154,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_2_152,refute_2_153]) ).
cnf(refute_2_155,plain,
op2(e23,op2(e23,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_47,refute_2_154]) ).
cnf(refute_2_156,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e21)
| e20 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_2_157,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e21)) )],[refute_2_155,refute_2_156]) ).
cnf(refute_2_158,plain,
e20 = op2(e23,e21),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_2_3,refute_2_157]) ).
cnf(refute_2_159,plain,
( e20 != op2(e23,e21)
| op2(e23,e21) = e20 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_2_160,plain,
op2(e23,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_2_158,refute_2_159]) ).
cnf(refute_2_161,plain,
( op2(e20,e21) != e20
| op2(e23,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_2_162,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_2_160,refute_2_161]) ).
cnf(refute_2_163,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_2_162,refute_2_151]) ).
cnf(refute_2_164,plain,
( h1(e11) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_2_150,refute_2_163]) ).
cnf(refute_2_165,plain,
( e20 != e20
| op2(e20,e22) != e20
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_2_166,plain,
( e20 != e20
| e20 = op2(e20,e22)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_2_164,refute_2_165]) ).
cnf(refute_2_167,plain,
( e20 != e20
| h1(e11) = e20
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_2_166,refute_2_139]) ).
cnf(refute_2_168,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_2_169,plain,
( h1(e11) = e20
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_2_168,refute_2_167]) ).
cnf(refute_2_170,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e10
| h4(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e10)]]) ).
cnf(refute_2_171,plain,
( h4(op1(e10,e10)) != h1(e11)
| h1(e11) = e20
| h4(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_169,refute_2_170]) ).
cnf(refute_2_172,plain,
( h1(e11) = e20
| h4(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_2_99,refute_2_171]) ).
cnf(refute_2_173,plain,
( h4(e10) != e20
| h4(e10) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h1(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_2_174,plain,
( h4(e10) != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_33,refute_2_173]) ).
cnf(refute_2_175,plain,
( e20 = h1(e11)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_2_172,refute_2_174]) ).
cnf(refute_2_176,plain,
( h1(e11) != e20
| e20 = h1(e11) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(e20))]]) ).
cnf(refute_2_177,plain,
e20 = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_175,refute_2_176]) ).
cnf(refute_2_178,plain,
( e20 != h1(e11)
| h1(e11) = e20 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e20)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_2_179,plain,
h1(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_2_177,refute_2_178]) ).
cnf(refute_2_180,plain,
( e21 != h1(e11)
| h1(e11) != e20
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_2_181,plain,
( e21 != h1(e11)
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_179,refute_2_180]) ).
cnf(refute_2_182,plain,
( e21 = e20
| op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e21,h1(e11)) )],[refute_2_111,refute_2_181]) ).
cnf(refute_2_183,plain,
e20 != e21,
inference(canonicalize,[],[normalize_2_40]) ).
cnf(refute_2_184,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_2_185,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_2_184,refute_2_183]) ).
cnf(refute_2_186,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_2_182,refute_2_185]) ).
cnf(refute_2_187,plain,
op1(e10,e10) != op1(e10,e11),
inference(canonicalize,[],[normalize_2_41]) ).
cnf(refute_2_188,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(canonicalize,[],[normalize_2_42]) ).
cnf(refute_2_189,plain,
op1(e10,e11) != op1(e10,e13),
inference(canonicalize,[],[normalize_2_43]) ).
cnf(refute_2_190,plain,
( op1(e10,e11) != e12
| op1(e10,e13) != e12
| op1(e10,e11) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_2_191,plain,
( op1(e10,e11) != e12
| op1(e10,e11) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_2_64,refute_2_190]) ).
cnf(refute_2_192,plain,
op1(e10,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_2_191,refute_2_189]) ).
cnf(refute_2_193,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_2_188,refute_2_192]) ).
cnf(refute_2_194,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_2_193,refute_2_132]) ).
cnf(refute_2_195,plain,
( op1(e10,e10) != e11
| op1(e10,e11) != e11
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_2_196,plain,
( op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_194,refute_2_195]) ).
cnf(refute_2_197,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_2_196,refute_2_187]) ).
cnf(refute_2_198,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e13
| h4(e13) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_2_199,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e13) = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_2_105,refute_2_198]) ).
cnf(refute_2_200,plain,
( h4(e13) = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_2_99,refute_2_199]) ).
cnf(refute_2_201,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_2_44]) ).
cnf(refute_2_202,plain,
( h4(e13) != e23
| h4(e13) != h1(e11)
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h1(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_2_203,plain,
( h4(e13) != h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_2_201,refute_2_202]) ).
cnf(refute_2_204,plain,
( e23 = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(e13),h1(e11)) )],[refute_2_200,refute_2_203]) ).
cnf(refute_2_205,plain,
( e11 != e11
| op1(e10,e10) != e11
| op1(e10,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(e11)]]) ).
cnf(refute_2_206,plain,
( e11 != e11
| e23 = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_204,refute_2_205]) ).
cnf(refute_2_207,plain,
( e11 != e11
| e23 = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_206,refute_2_197]) ).
cnf(refute_2_208,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_2_209,plain,
( e23 = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_208,refute_2_207]) ).
cnf(refute_2_210,plain,
( op1(e10,e10) != e13
| op1(e10,e11) != e13
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_2_211,plain,
( op1(e10,e10) != e13
| e23 = h1(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_2_209,refute_2_210]) ).
cnf(refute_2_212,plain,
( op1(e10,e10) != e13
| e23 = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_2_211,refute_2_187]) ).
cnf(refute_2_213,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0],$fot(e13)]]) ).
cnf(refute_2_214,plain,
( op1(e10,e10) != e13
| e13 = e10
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_212,refute_2_213]) ).
cnf(refute_2_215,plain,
e10 != e13,
inference(canonicalize,[],[normalize_2_45]) ).
cnf(refute_2_216,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_2_217,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_2_216,refute_2_215]) ).
cnf(refute_2_218,plain,
( op1(e10,e10) != e13
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_2_214,refute_2_217]) ).
cnf(refute_2_219,plain,
( e23 != h1(e11)
| h1(e11) != e20
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_2_220,plain,
( e23 != h1(e11)
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_179,refute_2_219]) ).
cnf(refute_2_221,plain,
( op1(e10,e10) != e13
| e23 = e20 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_2_218,refute_2_220]) ).
cnf(refute_2_222,plain,
e20 != e23,
inference(canonicalize,[],[normalize_2_46]) ).
cnf(refute_2_223,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_2_224,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_2_223,refute_2_222]) ).
cnf(refute_2_225,plain,
op1(e10,e10) != e13,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_2_221,refute_2_224]) ).
cnf(refute_2_226,plain,
op1(e10,e10) = e10,
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_2_186,refute_2_225]) ).
cnf(refute_2_227,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[0],$fot(e10)]]) ).
cnf(refute_2_228,plain,
( op1(e10,e10) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_226,refute_2_227]) ).
cnf(refute_2_229,plain,
( e10 = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_78,refute_2_228]) ).
cnf(refute_2_230,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_47]) ).
cnf(refute_2_231,plain,
( op1(e13,e11) != e11
| op1(e13,e13) != e11
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_232,plain,
( op1(e13,e11) != e11
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_73,refute_2_231]) ).
cnf(refute_2_233,plain,
op1(e13,e11) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_2_232,refute_2_230]) ).
cnf(refute_2_234,plain,
( e10 != e11
| op1(e13,e11) != e10
| op1(e13,e11) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e10) ),[1],$fot(e11)]]) ).
cnf(refute_2_235,plain,
( e10 != e11
| op1(e13,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_2_129,refute_2_234]) ).
cnf(refute_2_236,plain,
e10 != e11,
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_2_235,refute_2_233]) ).
cnf(refute_2_237,plain,
( op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_2_229,refute_2_236]) ).
cnf(refute_2_238,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_2_48]) ).
cnf(refute_2_239,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e12)]]) ).
cnf(refute_2_240,plain,
( op1(e10,e13) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_2_64,refute_2_239]) ).
cnf(refute_2_241,plain,
( e12 = e13
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_2_238,refute_2_240]) ).
cnf(refute_2_242,plain,
e12 != e13,
inference(canonicalize,[],[normalize_2_49]) ).
cnf(refute_2_243,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_2_241,refute_2_242]) ).
cnf(refute_2_244,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[0],$fot(e10)]]) ).
cnf(refute_2_245,plain,
( op1(e10,e10) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_226,refute_2_244]) ).
cnf(refute_2_246,plain,
( e10 = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_2_243,refute_2_245]) ).
cnf(refute_2_247,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_2_246,refute_2_215]) ).
cnf(refute_2_248,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_2_50]) ).
cnf(refute_2_249,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_2_51]) ).
cnf(refute_2_250,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_2_251,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) != op2(e20,h4(e11))
| op2(e20,h4(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_2_252,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_2_250,refute_2_251]) ).
cnf(refute_2_253,plain,
op2(e20,h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_2_50,refute_2_252]) ).
cnf(refute_2_254,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_2_255,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_256,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_2_254,refute_2_255]) ).
cnf(refute_2_257,plain,
op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_33,refute_2_256]) ).
cnf(refute_2_258,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_2_19:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_2_259,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_2_257,refute_2_258]) ).
cnf(refute_2_260,plain,
op2(h4(e10),h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_2_253,refute_2_259]) ).
cnf(refute_2_261,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_2_262,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_2_260,refute_2_261]) ).
cnf(refute_2_263,plain,
h4(op1(e10,e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_2_249,refute_2_262]) ).
cnf(refute_2_264,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op1(e10,e11) != e11
| h4(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0,0],$fot(e11)]]) ).
cnf(refute_2_265,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(e11) = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_194,refute_2_264]) ).
cnf(refute_2_266,plain,
( h4(e11) = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_2_263,refute_2_265]) ).
cnf(refute_2_267,plain,
( h4(e11) != e21
| h4(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e20,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_2_268,plain,
( h4(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_2_50,refute_2_267]) ).
cnf(refute_2_269,plain,
( e21 = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e21)) )],[refute_2_266,refute_2_268]) ).
cnf(refute_2_270,plain,
( e21 != op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_2_271,plain,
( op1(e10,e11) = e13
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_2_269,refute_2_270]) ).
cnf(refute_2_272,plain,
( e21 != op2(e20,e22)
| op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_2_273,plain,
( e21 != op2(e20,e22)
| op1(e10,e11) = e13
| op2(e20,e21) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_2_271,refute_2_272]) ).
cnf(refute_2_274,plain,
( e21 != op2(e20,e22)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_2_273,refute_2_248]) ).
cnf(refute_2_275,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_2_52]) ).
cnf(refute_2_276,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_2_277,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_82,refute_2_276]) ).
cnf(refute_2_278,plain,
h1(e11) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_2_277,refute_2_275]) ).
cnf(refute_2_279,plain,
( e20 != op2(e20,e22)
| h1(e11) != e20
| h1(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_2_280,plain,
( e20 != op2(e20,e22)
| h1(e11) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_179,refute_2_279]) ).
cnf(refute_2_281,plain,
e20 != op2(e20,e22),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_2_280,refute_2_278]) ).
cnf(refute_2_282,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_2_54]) ).
cnf(refute_2_283,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_2_55]) ).
cnf(refute_2_284,plain,
( op2(e20,e22) != e22
| op2(e20,e23) != e22
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_2_285,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_2_17,refute_2_284]) ).
cnf(refute_2_286,plain,
op2(e20,e22) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_2_285,refute_2_283]) ).
cnf(refute_2_287,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_2_282,refute_2_286]) ).
cnf(refute_2_288,plain,
( e20 != e20
| e20 = op2(e20,e22)
| op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_2_287,refute_2_165]) ).
cnf(refute_2_289,plain,
( e20 != e20
| op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_2_288,refute_2_281]) ).
cnf(refute_2_290,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_2_168,refute_2_289]) ).
cnf(refute_2_291,plain,
( e21 != e21
| op2(e20,e22) != e21
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_2_292,plain,
( e21 != e21
| e21 = op2(e20,e22)
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_2_290,refute_2_291]) ).
cnf(refute_2_293,plain,
( e21 != e21
| op1(e10,e11) = e13
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_2_292,refute_2_274]) ).
cnf(refute_2_294,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_2_295,plain,
( op1(e10,e11) = e13
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_294,refute_2_293]) ).
cnf(refute_2_296,plain,
( op2(e20,e21) != e23
| op2(e20,e22) != e23
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_2_297,plain,
( op2(e20,e21) != e23
| op1(e10,e11) = e13
| op2(e20,e21) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_2_295,refute_2_296]) ).
cnf(refute_2_298,plain,
( op2(e20,e21) != e23
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_2_297,refute_2_248]) ).
cnf(refute_2_299,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_2_56]) ).
cnf(refute_2_300,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_2_301,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_82,refute_2_300]) ).
cnf(refute_2_302,plain,
( h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_2_299,refute_2_301]) ).
cnf(refute_2_303,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e22)]]) ).
cnf(refute_2_304,plain,
( op2(e20,e23) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_2_17,refute_2_303]) ).
cnf(refute_2_305,plain,
( e22 = e23
| h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_2_302,refute_2_304]) ).
cnf(refute_2_306,plain,
e22 != e23,
inference(canonicalize,[],[normalize_2_57]) ).
cnf(refute_2_307,plain,
( h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_2_305,refute_2_306]) ).
cnf(refute_2_308,plain,
( h1(e11) != e20
| h1(e11) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[0],$fot(e20)]]) ).
cnf(refute_2_309,plain,
( h1(e11) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_179,refute_2_308]) ).
cnf(refute_2_310,plain,
( e20 = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_2_307,refute_2_309]) ).
cnf(refute_2_311,plain,
( op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_2_310,refute_2_222]) ).
cnf(refute_2_312,plain,
( h4(op1(e10,e12)) != e23
| op2(e20,e22) != e23
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_2_313,plain,
( h4(op1(e10,e12)) != e23
| h4(op1(e10,e12)) = op2(e20,e22)
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_2_311,refute_2_312]) ).
cnf(refute_2_314,plain,
( h4(op1(e10,e12)) != e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_2_313,refute_2_43]) ).
cnf(refute_2_315,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_2_58]) ).
cnf(refute_2_316,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) != e10
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_2_317,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_226,refute_2_316]) ).
cnf(refute_2_318,plain,
e10 != op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_2_317,refute_2_315]) ).
cnf(refute_2_319,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_2_59]) ).
cnf(refute_2_320,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_2_60]) ).
cnf(refute_2_321,plain,
( op1(e10,e12) != e12
| op1(e10,e13) != e12
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_2_322,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_2_64,refute_2_321]) ).
cnf(refute_2_323,plain,
op1(e10,e12) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_2_322,refute_2_320]) ).
cnf(refute_2_324,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_319,refute_2_323]) ).
cnf(refute_2_325,plain,
( e10 != e10
| op1(e10,e12) != e10
| e10 = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e10,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_2_326,plain,
( e10 != e10
| e10 = op1(e10,e12)
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_2_324,refute_2_325]) ).
cnf(refute_2_327,plain,
( e10 != e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(e10,op1(e10,e12)) )],[refute_2_326,refute_2_318]) ).
cnf(refute_2_328,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_2_329,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_2_328,refute_2_327]) ).
cnf(refute_2_330,plain,
( h4(e13) != e23
| op1(e10,e12) != e13
| h4(op1(e10,e12)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e23) ),[0,0],$fot(e13)]]) ).
cnf(refute_2_331,plain,
( h4(e13) != e23
| h4(op1(e10,e12)) = e23
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_2_329,refute_2_330]) ).
cnf(refute_2_332,plain,
( h4(e13) != e23
| op1(e10,e12) = e11
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e23) )],[refute_2_331,refute_2_314]) ).
cnf(refute_2_333,plain,
( e23 != e23
| h4(e13) != e23
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_2_334,plain,
( e23 != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_2_201,refute_2_333]) ).
cnf(refute_2_335,plain,
( e23 != e23
| op1(e10,e12) = e11
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_2_334,refute_2_332]) ).
cnf(refute_2_336,plain,
( e23 != e23
| op1(e10,e11) = e13
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_2_335,refute_2_298]) ).
cnf(refute_2_337,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_2_338,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_2_337,refute_2_336]) ).
cnf(refute_2_339,plain,
( op1(e10,e12) != e11
| op1(e10,e12) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e13) ),[0],$fot(e11)]]) ).
cnf(refute_2_340,plain,
( op1(e10,e12) != e13
| e11 = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_338,refute_2_339]) ).
cnf(refute_2_341,plain,
( e11 = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_2_247,refute_2_340]) ).
cnf(refute_2_342,plain,
e11 != e13,
inference(canonicalize,[],[normalize_2_61]) ).
cnf(refute_2_343,plain,
op1(e10,e11) = e13,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_2_341,refute_2_342]) ).
cnf(refute_2_344,plain,
( op1(e10,e11) != e11
| op1(e10,e11) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e13)]]) ).
cnf(refute_2_345,plain,
( op1(e10,e11) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_2_343,refute_2_344]) ).
cnf(refute_2_346,plain,
( e13 = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_237,refute_2_345]) ).
cnf(refute_2_347,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_2_348,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_2_347,refute_2_342]) ).
cnf(refute_2_349,plain,
op1(e10,e12) = e11,
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_2_346,refute_2_348]) ).
cnf(refute_2_350,plain,
h4(op1(e10,e12)) = h4(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_2_351,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| op1(e10,e12) != e11
| h4(op1(e10,e12)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e11)]]) ).
cnf(refute_2_352,plain,
( op1(e10,e12) != e11
| h4(op1(e10,e12)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_2_350,refute_2_351]) ).
cnf(refute_2_353,plain,
h4(op1(e10,e12)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_349,refute_2_352]) ).
cnf(refute_2_354,plain,
( h4(e11) != e21
| h4(op1(e10,e12)) != h4(e11)
| h4(op1(e10,e12)) = e21 ),
inference(subst,[],[refute_2_19:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_2_355,plain,
( h4(e11) != e21
| h4(op1(e10,e12)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e11)) )],[refute_2_353,refute_2_354]) ).
cnf(refute_2_356,plain,
h4(op1(e10,e12)) = e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_2_50,refute_2_355]) ).
cnf(refute_2_357,plain,
( e21 != op2(e20,e22)
| h4(op1(e10,e12)) != e21
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e21) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_2_358,plain,
( e21 != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_2_356,refute_2_357]) ).
cnf(refute_2_359,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(canonicalize,[],[normalize_2_62]) ).
cnf(refute_2_360,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_2_361,plain,
( op2(e20,e20) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_82,refute_2_360]) ).
cnf(refute_2_362,plain,
( h1(e11) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_2_359,refute_2_361]) ).
cnf(refute_2_363,plain,
( op2(e20,e23) != e21
| op2(e20,e23) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e21) ),[0],$fot(e22)]]) ).
cnf(refute_2_364,plain,
( op2(e20,e23) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_2_17,refute_2_363]) ).
cnf(refute_2_365,plain,
( e22 = e21
| h1(e11) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_2_362,refute_2_364]) ).
cnf(refute_2_366,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_2_63]) ).
cnf(refute_2_367,plain,
( e22 != op2(e23,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_2_368,plain,
( e22 != op2(e23,e23)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_2_17,refute_2_367]) ).
cnf(refute_2_369,plain,
( e22 != e21
| op2(e23,e23) != e21
| e22 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_2_370,plain,
( e22 != e21
| e22 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_47,refute_2_369]) ).
cnf(refute_2_371,plain,
( e22 != e21
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_2_370,refute_2_368]) ).
cnf(refute_2_372,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_2_371,refute_2_366]) ).
cnf(refute_2_373,plain,
( h1(e11) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_2_365,refute_2_372]) ).
cnf(refute_2_374,plain,
( h1(e11) != e20
| h1(e11) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[0],$fot(e20)]]) ).
cnf(refute_2_375,plain,
( h1(e11) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_179,refute_2_374]) ).
cnf(refute_2_376,plain,
( e20 = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_2_373,refute_2_375]) ).
cnf(refute_2_377,plain,
( op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_2_376,refute_2_183]) ).
cnf(refute_2_378,plain,
h4(op1(e10,e11)) = h4(op1(e10,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e11)))]]) ).
cnf(refute_2_379,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e11))
| op1(e10,e11) != e13
| h4(op1(e10,e11)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) ),[1,0],$fot(e13)]]) ).
cnf(refute_2_380,plain,
( op1(e10,e11) != e13
| h4(op1(e10,e11)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) )],[refute_2_378,refute_2_379]) ).
cnf(refute_2_381,plain,
h4(op1(e10,e11)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_2_343,refute_2_380]) ).
cnf(refute_2_382,plain,
( h4(e13) != e23
| h4(op1(e10,e11)) != h4(e13)
| h4(op1(e10,e11)) = e23 ),
inference(subst,[],[refute_2_19:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_2_383,plain,
( h4(e13) != e23
| h4(op1(e10,e11)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(e13)) )],[refute_2_381,refute_2_382]) ).
cnf(refute_2_384,plain,
h4(op1(e10,e11)) = e23,
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_2_201,refute_2_383]) ).
cnf(refute_2_385,plain,
( h4(op1(e10,e11)) != e23
| h4(op1(e10,e11)) != op2(e20,e21)
| e23 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(e23)]]) ).
cnf(refute_2_386,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| e23 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e23) )],[refute_2_384,refute_2_385]) ).
cnf(refute_2_387,plain,
e23 = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_2_263,refute_2_386]) ).
cnf(refute_2_388,plain,
( e23 != op2(e20,e21)
| op2(e20,e21) = e23 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_2_389,plain,
op2(e20,e21) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_2_387,refute_2_388]) ).
cnf(refute_2_390,plain,
( op2(e20,e21) != e21
| op2(e20,e21) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e23)]]) ).
cnf(refute_2_391,plain,
( op2(e20,e21) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_2_389,refute_2_390]) ).
cnf(refute_2_392,plain,
( e23 = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_2_377,refute_2_391]) ).
cnf(refute_2_393,plain,
e21 != e23,
inference(canonicalize,[],[normalize_2_64]) ).
cnf(refute_2_394,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_2_395,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_2_394,refute_2_393]) ).
cnf(refute_2_396,plain,
op2(e20,e22) = e21,
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_2_392,refute_2_395]) ).
cnf(refute_2_397,plain,
( e21 != e21
| e21 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_2_396,refute_2_291]) ).
cnf(refute_2_398,plain,
( e21 != e21
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_2_397,refute_2_358]) ).
cnf(refute_2_399,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_2_398,refute_2_43]) ).
cnf(refute_2_400,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_294,refute_2_399]) ).
fof(negate_3_0,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 )
& ( 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)) ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
& 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))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_3_0]) ).
fof(normalize_3_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_3_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_3_1]) ).
fof(normalize_3_3,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_3_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_3_3]) ).
fof(normalize_3_5,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_3_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_3_5]) ).
fof(normalize_3_7,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
& 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))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_3_0,normalize_3_2,normalize_3_4,normalize_3_6]) ).
fof(normalize_3_8,plain,
h4(op1(e10,e13)) != op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_3_7]) ).
fof(normalize_3_9,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_3_10,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_11,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_3_12,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_3_11]) ).
fof(normalize_3_13,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_3_11]) ).
fof(normalize_3_14,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_3_15,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(conjunct,[],[normalize_3_14]) ).
fof(normalize_3_16,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_3_14]) ).
fof(normalize_3_17,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_18,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_3_9]) ).
cnf(refute_3_0,plain,
h4(op1(e10,e13)) != op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_3_8]) ).
cnf(refute_3_1,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_3_10]) ).
cnf(refute_3_2,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_3_12]) ).
cnf(refute_3_3,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_3_13]) ).
cnf(refute_3_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_3_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_3_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_3_4,refute_3_5]) ).
cnf(refute_3_7,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_3_8,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_3_3,refute_3_7]) ).
cnf(refute_3_9,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_3_10,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_3_11,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_3_9,refute_3_10]) ).
cnf(refute_3_12,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_3_8,refute_3_11]) ).
cnf(refute_3_13,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_3_14,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_3_12,refute_3_13]) ).
cnf(refute_3_15,plain,
e22 = op2(e20,e23),
inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),e23)) )],[refute_3_2,refute_3_14]) ).
cnf(refute_3_16,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_3_17,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_3_15,refute_3_16]) ).
cnf(refute_3_18,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_3_19,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_3_6,refute_3_18]) ).
cnf(refute_3_20,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(subst,[],[refute_3_19:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_3_21,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_3_12,refute_3_20]) ).
cnf(refute_3_22,plain,
op2(op2(e23,op2(e23,e23)),e23) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_3_17,refute_3_21]) ).
cnf(refute_3_23,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_3_24,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),e22) )],[refute_3_22,refute_3_23]) ).
cnf(refute_3_25,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_3_1,refute_3_24]) ).
cnf(refute_3_26,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(canonicalize,[],[normalize_3_15]) ).
cnf(refute_3_27,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_3_16]) ).
cnf(refute_3_28,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = e10 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).
cnf(refute_3_29,plain,
op1(e13,op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_3_27,refute_3_28]) ).
cnf(refute_3_30,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(op1(e13,op1(e13,e13)),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_3_31,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_3_32,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) )],[refute_3_30,refute_3_31]) ).
cnf(refute_3_33,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_3_29,refute_3_32]) ).
cnf(refute_3_34,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) != op1(e10,e13)
| e12 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e13)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_3_35,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| e12 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(e10,e13)) )],[refute_3_33,refute_3_34]) ).
cnf(refute_3_36,plain,
e12 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),e13)) )],[refute_3_26,refute_3_35]) ).
cnf(refute_3_37,plain,
( e12 != op1(e10,e13)
| op1(e10,e13) = e12 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_3_38,plain,
op1(e10,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_3_36,refute_3_37]) ).
cnf(refute_3_39,plain,
h4(op1(e10,e13)) = h4(op1(e10,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_3_40,plain,
( h4(op1(e10,e13)) != h4(op1(e10,e13))
| op1(e10,e13) != e12
| h4(op1(e10,e13)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_3_41,plain,
( op1(e10,e13) != e12
| h4(op1(e10,e13)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) )],[refute_3_39,refute_3_40]) ).
cnf(refute_3_42,plain,
h4(op1(e10,e13)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_3_38,refute_3_41]) ).
cnf(refute_3_43,plain,
( h4(e12) != e22
| h4(op1(e10,e13)) != h4(e12)
| h4(op1(e10,e13)) = e22 ),
inference(subst,[],[refute_3_19:[bind(X,$fot(h4(op1(e10,e13)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_3_44,plain,
( h4(e12) != e22
| h4(op1(e10,e13)) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(e12)) )],[refute_3_42,refute_3_43]) ).
cnf(refute_3_45,plain,
h4(op1(e10,e13)) = e22,
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_3_25,refute_3_44]) ).
cnf(refute_3_46,plain,
( e22 != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) != e22
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),e22) ),[1],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_3_47,plain,
( e22 != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e22) )],[refute_3_45,refute_3_46]) ).
cnf(refute_3_48,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_3_17]) ).
cnf(refute_3_49,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_3_50,plain,
( h4(e13) != e23
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_3_51,plain,
( h4(e13) != e23
| op2(e20,h4(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_3_49,refute_3_50]) ).
cnf(refute_3_52,plain,
op2(e20,h4(e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_3_48,refute_3_51]) ).
cnf(refute_3_53,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_3_18]) ).
cnf(refute_3_54,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_3_55,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_3_8,refute_3_54]) ).
cnf(refute_3_56,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_3_53,refute_3_55]) ).
cnf(refute_3_57,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_3_58,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_3_59,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_3_57,refute_3_58]) ).
cnf(refute_3_60,plain,
op2(h4(e10),h4(e13)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_3_56,refute_3_59]) ).
cnf(refute_3_61,plain,
( op2(e20,h4(e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) != op2(e20,h4(e13))
| op2(h4(e10),h4(e13)) = op2(e20,e23) ),
inference(subst,[],[refute_3_19:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_3_62,plain,
( op2(e20,h4(e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,h4(e13))) )],[refute_3_60,refute_3_61]) ).
cnf(refute_3_63,plain,
op2(h4(e10),h4(e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e23)) )],[refute_3_52,refute_3_62]) ).
cnf(refute_3_64,plain,
( op2(e20,e23) != e22
| op2(h4(e10),h4(e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) = e22 ),
inference(subst,[],[refute_3_19:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_3_65,plain,
( op2(e20,e23) != e22
| op2(h4(e10),h4(e13)) = e22 ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,e23)) )],[refute_3_63,refute_3_64]) ).
cnf(refute_3_66,plain,
op2(h4(e10),h4(e13)) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_3_17,refute_3_65]) ).
cnf(refute_3_67,plain,
( e22 != e22
| op2(h4(e10),h4(e13)) != e22
| e22 = op2(h4(e10),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(h4(e10),h4(e13))) ),[1],$fot(e22)]]) ).
cnf(refute_3_68,plain,
( e22 != e22
| e22 = op2(h4(e10),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),e22) )],[refute_3_66,refute_3_67]) ).
cnf(refute_3_69,plain,
( e22 != e22
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(resolve,[$cnf( $equal(e22,op2(h4(e10),h4(e13))) )],[refute_3_68,refute_3_47]) ).
cnf(refute_3_70,plain,
e22 != e22,
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_3_69,refute_3_0]) ).
cnf(refute_3_71,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_3_72,plain,
$false,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_3_71,refute_3_70]) ).
fof(negate_4_0,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 )
& ( 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)) ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_4_1,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_2,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_3,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_4_4,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_4_3]) ).
fof(normalize_4_5,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_4_3]) ).
fof(normalize_4_6,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
& 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))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_4_0]) ).
fof(normalize_4_7,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_8,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_4_9,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_4_8]) ).
fof(normalize_4_10,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_4_11,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_12,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
& 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))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_4_6,normalize_4_7,normalize_4_9,normalize_4_11]) ).
fof(normalize_4_13,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_14,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_4_15,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_4_14]) ).
fof(normalize_4_16,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_4_14]) ).
fof(normalize_4_17,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13 )
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_4_18,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_4_19,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13 ) ) ),
inference(simplify,[],[normalize_4_17,normalize_4_18]) ).
fof(normalize_4_20,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e10),op1(e11,e10)) = e10 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e11),op1(e11,e11)) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e12),op1(e11,e12)) = e12 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 )
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_4_19]) ).
fof(normalize_4_21,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(conjunct,[],[normalize_4_20]) ).
fof(normalize_4_22,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_4_23,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_4_24,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(simplify,[],[normalize_4_22,normalize_4_23]) ).
fof(normalize_4_25,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e22),op2(e21,e22)) = e22 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_4_24]) ).
fof(normalize_4_26,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(conjunct,[],[normalize_4_25]) ).
fof(normalize_4_27,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e11),op1(e10,e11)) = e11
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_4_18]) ).
fof(normalize_4_28,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_4_27]) ).
fof(normalize_4_29,plain,
( ( 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(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_4_30,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(conjunct,[],[normalize_4_29]) ).
fof(normalize_4_31,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_4_32,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(conjunct,[],[normalize_4_31]) ).
fof(normalize_4_33,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_4_31]) ).
fof(normalize_4_34,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_4_35,plain,
e10 != e12,
inference(conjunct,[],[normalize_4_34]) ).
fof(normalize_4_36,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,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) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_4_37,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_38,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_4_31]) ).
fof(normalize_4_39,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_40,plain,
h4(op1(e11,e10)) != op2(h4(e11),h4(e10)),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_41,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_4_14]) ).
fof(normalize_4_42,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_4_3]) ).
fof(normalize_4_43,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_44,plain,
op1(e10,e11) != op1(e10,e12),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_45,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e21),op2(e20,e21)) = e21
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_4_23]) ).
fof(normalize_4_46,plain,
( op2(op2(e20,e21),op2(e20,e21)) = e21
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_4_45]) ).
fof(normalize_4_47,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,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) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_4_48,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_49,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_50,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_51,plain,
h3(e11) = op2(e22,e22),
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_52,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_4_45]) ).
fof(normalize_4_53,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_54,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_4_55,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_4_54]) ).
fof(normalize_4_56,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_57,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_58,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_59,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_60,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_4_45]) ).
fof(normalize_4_61,plain,
( ( 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(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_4_62,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_63,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_4_64,plain,
e20 != e22,
inference(conjunct,[],[normalize_4_63]) ).
fof(normalize_4_65,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_66,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_67,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_4_54]) ).
fof(normalize_4_68,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_69,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(conjunct,[],[normalize_4_54]) ).
fof(normalize_4_70,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_71,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_72,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_4_73,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(conjunct,[],[normalize_4_72]) ).
fof(normalize_4_74,plain,
op1(e10,e11) != op1(e10,e13),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_75,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_76,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_77,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_4_14]) ).
fof(normalize_4_78,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_4_72]) ).
fof(normalize_4_79,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_80,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(conjunct,[],[normalize_4_29]) ).
fof(normalize_4_81,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_82,plain,
op1(e10,e10) != op1(e11,e10),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_83,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_4_27]) ).
fof(normalize_4_84,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(conjunct,[],[normalize_4_29]) ).
fof(normalize_4_85,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_86,plain,
e11 != e13,
inference(conjunct,[],[normalize_4_34]) ).
fof(normalize_4_87,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_88,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_89,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_4_72]) ).
fof(normalize_4_90,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_91,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_92,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_4_72]) ).
fof(normalize_4_93,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_94,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(conjunct,[],[normalize_4_29]) ).
fof(normalize_4_95,plain,
op1(e11,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_96,plain,
e10 != e13,
inference(conjunct,[],[normalize_4_34]) ).
fof(normalize_4_97,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_98,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_99,plain,
op2(e21,e20) != op2(e21,e21),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_100,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_4_8]) ).
fof(normalize_4_101,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_102,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_103,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_104,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_105,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_4_54]) ).
fof(normalize_4_106,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_107,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_108,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_4_54]) ).
fof(normalize_4_109,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_110,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_111,plain,
e22 != e23,
inference(conjunct,[],[normalize_4_63]) ).
fof(normalize_4_112,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_113,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_114,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_115,plain,
e20 != e23,
inference(conjunct,[],[normalize_4_63]) ).
fof(normalize_4_116,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_4_54]) ).
fof(normalize_4_117,plain,
e20 != e21,
inference(conjunct,[],[normalize_4_63]) ).
fof(normalize_4_118,plain,
e21 != e23,
inference(conjunct,[],[normalize_4_63]) ).
fof(normalize_4_119,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23 ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_4_120,plain,
( ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e22),op2(e22,e22)) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 )
& ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_4_119]) ).
fof(normalize_4_121,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 ),
inference(conjunct,[],[normalize_4_120]) ).
fof(normalize_4_122,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_123,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_4_124,plain,
( definitionFOFtoCNF_3
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_4_123,normalize_4_24,normalize_4_23]) ).
fof(normalize_4_125,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_4_124,normalize_4_119]) ).
fof(normalize_4_126,plain,
( ( op2(op2(e23,e20),op2(e23,e20)) = e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e22
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_4_125]) ).
fof(normalize_4_127,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_4_126]) ).
fof(normalize_4_128,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_4_126]) ).
fof(normalize_4_129,plain,
h1(e12) = op2(op2(e20,op2(e20,e20)),e20),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_130,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference(conjunct,[],[normalize_4_120]) ).
fof(normalize_4_131,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_132,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_133,plain,
op2(e21,e21) != op2(e21,e22),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_134,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_135,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(conjunct,[],[normalize_4_54]) ).
fof(normalize_4_136,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_137,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_138,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_139,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_140,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_141,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_142,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_143,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(conjunct,[],[normalize_4_54]) ).
fof(normalize_4_144,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_145,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_146,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(conjunct,[],[normalize_4_54]) ).
fof(normalize_4_147,plain,
op2(e21,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_148,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_149,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_150,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_151,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_152,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_4_29]) ).
fof(normalize_4_153,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_4_29]) ).
fof(normalize_4_154,plain,
e12 != e13,
inference(conjunct,[],[normalize_4_34]) ).
fof(normalize_4_155,plain,
( ~ definitionFOFtoCNF_31
<=> ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_4_156,plain,
( ( h1(e10) != e22
| ~ definitionFOFtoCNF_31 )
& ( h1(e11) != e22
| ~ definitionFOFtoCNF_31 )
& ( h1(e12) != e22
| ~ definitionFOFtoCNF_31 )
& ( h1(e13) != e22
| ~ definitionFOFtoCNF_31 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22
| definitionFOFtoCNF_31 ) ),
inference(clausify,[],[normalize_4_155]) ).
fof(normalize_4_157,plain,
( h1(e10) != e22
| ~ definitionFOFtoCNF_31 ),
inference(conjunct,[],[normalize_4_156]) ).
fof(normalize_4_158,plain,
( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22
| definitionFOFtoCNF_31 ),
inference(conjunct,[],[normalize_4_156]) ).
fof(normalize_4_159,plain,
( op2(op2(e20,e20),op2(e20,e20)) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_4_45]) ).
fof(normalize_4_160,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_4_54]) ).
fof(normalize_4_161,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_162,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_163,plain,
op2(e22,e21) != op2(e22,e23),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_164,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e22),op2(e21,e22)) = e22 ),
inference(conjunct,[],[normalize_4_25]) ).
fof(normalize_4_165,plain,
op2(e21,e22) != op2(e21,e23),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_166,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_167,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_4_54]) ).
fof(normalize_4_168,plain,
op1(e10,e10) != op1(e10,e11),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_169,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(conjunct,[],[normalize_4_29]) ).
fof(normalize_4_170,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e13),op1(e12,e13)) != e13 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_4_171,plain,
( ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e11),op1(e12,e11)) = e11 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e12),op1(e12,e12)) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 )
& ( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e13),op1(e12,e13)) != e13
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_4_170]) ).
fof(normalize_4_172,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 ),
inference(conjunct,[],[normalize_4_171]) ).
fof(normalize_4_173,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_174,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 )
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_4_175,plain,
( definitionFOFtoCNF_0
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(simplify,[],[normalize_4_174,normalize_4_19,normalize_4_18]) ).
fof(normalize_4_176,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(simplify,[],[normalize_4_175,normalize_4_170]) ).
fof(normalize_4_177,plain,
( ( op1(op1(e13,e10),op1(e13,e10)) = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_4_176]) ).
fof(normalize_4_178,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_4_177]) ).
fof(normalize_4_179,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_4_177]) ).
fof(normalize_4_180,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_4_29]) ).
fof(normalize_4_181,plain,
op1(e11,e10) != op1(e11,e13),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_182,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 ),
inference(conjunct,[],[normalize_4_171]) ).
fof(normalize_4_183,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(conjunct,[],[normalize_4_29]) ).
fof(normalize_4_184,plain,
op1(e13,e10) != op1(e13,e11),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_185,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 ),
inference(conjunct,[],[normalize_4_25]) ).
fof(normalize_4_186,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_187,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_188,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_189,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e12),op1(e12,e12)) = e12 ),
inference(conjunct,[],[normalize_4_171]) ).
fof(normalize_4_190,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e11),op1(e12,e11)) = e11 ),
inference(conjunct,[],[normalize_4_171]) ).
fof(normalize_4_191,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(conjunct,[],[normalize_4_29]) ).
fof(normalize_4_192,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_193,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_194,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_195,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_4_29]) ).
cnf(refute_4_0,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_4_1]) ).
cnf(refute_4_1,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_4_2]) ).
cnf(refute_4_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_4_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_4_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_4_2,refute_4_3]) ).
cnf(refute_4_5,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_4_6,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_4_1,refute_4_5]) ).
cnf(refute_4_7,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_4_8,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_4_9,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_4_7,refute_4_8]) ).
cnf(refute_4_10,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_6,refute_4_9]) ).
cnf(refute_4_11,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) != op2(e20,h1(e11))
| h1(e10) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e20,h1(e11))) ),[0],$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_4_12,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| h1(e10) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e11))) )],[refute_4_10,refute_4_11]) ).
cnf(refute_4_13,plain,
h1(e10) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,op2(e20,e20))) )],[refute_4_0,refute_4_12]) ).
cnf(refute_4_14,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_4_4]) ).
cnf(refute_4_15,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_4_5]) ).
cnf(refute_4_16,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_4_17,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_4_15,refute_4_16]) ).
cnf(refute_4_18,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_4_19,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_20,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_4_18,refute_4_19]) ).
cnf(refute_4_21,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_4_17,refute_4_20]) ).
cnf(refute_4_22,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_4_23,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_4_21,refute_4_22]) ).
cnf(refute_4_24,plain,
e22 = op2(e20,e23),
inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),e23)) )],[refute_4_14,refute_4_23]) ).
cnf(refute_4_25,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_4_26,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_4_24,refute_4_25]) ).
cnf(refute_4_27,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_4_13]) ).
cnf(refute_4_28,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_4_15]) ).
cnf(refute_4_29,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_4_30,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_4_17,refute_4_29]) ).
cnf(refute_4_31,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_4_28,refute_4_30]) ).
cnf(refute_4_32,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_4_33,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_34,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_4_32,refute_4_33]) ).
cnf(refute_4_35,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_31,refute_4_34]) ).
cnf(refute_4_36,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_4_37,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_38,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_4_36,refute_4_37]) ).
cnf(refute_4_39,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_31,refute_4_38]) ).
cnf(refute_4_40,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_4_41,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_4_4,refute_4_40]) ).
cnf(refute_4_42,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_4_43,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_4_39,refute_4_42]) ).
cnf(refute_4_44,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_4_35,refute_4_43]) ).
cnf(refute_4_45,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_4_46,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_4_44,refute_4_45]) ).
cnf(refute_4_47,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_6,refute_4_46]) ).
cnf(refute_4_48,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_4_49,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_4_47,refute_4_48]) ).
cnf(refute_4_50,plain,
h4(op1(e10,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_4_27,refute_4_49]) ).
cnf(refute_4_51,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_4_16]) ).
cnf(refute_4_52,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(canonicalize,[],[normalize_4_21]) ).
cnf(refute_4_53,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(canonicalize,[],[normalize_4_26]) ).
cnf(refute_4_54,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_4_28]) ).
cnf(refute_4_55,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(canonicalize,[],[normalize_4_30]) ).
cnf(refute_4_56,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(canonicalize,[],[normalize_4_32]) ).
cnf(refute_4_57,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_4_33]) ).
cnf(refute_4_58,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = e10 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).
cnf(refute_4_59,plain,
op1(e13,op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_4_57,refute_4_58]) ).
cnf(refute_4_60,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(op1(e13,op1(e13,e13)),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_4_61,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_4_62,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) )],[refute_4_60,refute_4_61]) ).
cnf(refute_4_63,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_4_59,refute_4_62]) ).
cnf(refute_4_64,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) != op1(e10,e13)
| e12 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e13)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_4_65,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| e12 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(e10,e13)) )],[refute_4_63,refute_4_64]) ).
cnf(refute_4_66,plain,
e12 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),e13)) )],[refute_4_56,refute_4_65]) ).
cnf(refute_4_67,plain,
( e12 != op1(e10,e13)
| op1(e10,e13) = e12 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_4_68,plain,
op1(e10,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_4_66,refute_4_67]) ).
cnf(refute_4_69,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_4_70,plain,
( op1(e10,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_4_68,refute_4_69]) ).
cnf(refute_4_71,plain,
( e12 = e10
| op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_4_55,refute_4_70]) ).
cnf(refute_4_72,plain,
e10 != e12,
inference(canonicalize,[],[normalize_4_35]) ).
cnf(refute_4_73,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_4_74,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_4_73,refute_4_72]) ).
cnf(refute_4_75,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_4_71,refute_4_74]) ).
cnf(refute_4_76,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_4_37]) ).
cnf(refute_4_77,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_4_38]) ).
cnf(refute_4_78,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_4_79,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_4_77,refute_4_78]) ).
cnf(refute_4_80,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_4_81,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_4_82,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_4_80,refute_4_81]) ).
cnf(refute_4_83,plain,
op1(e13,op1(e13,e13)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_79,refute_4_82]) ).
cnf(refute_4_84,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e11)
| e10 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_4_85,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e11)) )],[refute_4_83,refute_4_84]) ).
cnf(refute_4_86,plain,
e10 = op1(e13,e11),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_4_57,refute_4_85]) ).
cnf(refute_4_87,plain,
( e10 != op1(e13,e11)
| op1(e13,e11) = e10 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_4_88,plain,
op1(e13,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e11)) )],[refute_4_86,refute_4_87]) ).
cnf(refute_4_89,plain,
( op1(e10,e11) != e10
| op1(e13,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_4_90,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_4_88,refute_4_89]) ).
cnf(refute_4_91,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_4_90,refute_4_76]) ).
cnf(refute_4_92,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_4_75,refute_4_91]) ).
cnf(refute_4_93,plain,
( op1(e10,e12) != e10
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e10,op1(e10,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) ),[0,0],$fot(e10)]]) ).
cnf(refute_4_94,plain,
( op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e10,e10) = e10
| op1(e10,op1(e10,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_4_92,refute_4_93]) ).
cnf(refute_4_95,plain,
( op1(e10,e10) = e10
| op1(e10,op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) )],[refute_4_54,refute_4_94]) ).
cnf(refute_4_96,plain,
( op1(e10,e12) != e10
| op1(e10,op1(e10,e12)) != e12
| op1(e10,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) ),[0,1],$fot(e10)]]) ).
cnf(refute_4_97,plain,
( op1(e10,op1(e10,e12)) != e12
| op1(e10,e10) = e10
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_4_92,refute_4_96]) ).
cnf(refute_4_98,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) )],[refute_4_95,refute_4_97]) ).
cnf(refute_4_99,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_4_39]) ).
cnf(refute_4_100,plain,
( op1(e10,e10) != e12
| op1(e10,e13) != e12
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_4_101,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_4_68,refute_4_100]) ).
cnf(refute_4_102,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_4_101,refute_4_99]) ).
cnf(refute_4_103,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_4_98,refute_4_102]) ).
cnf(refute_4_104,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e10
| h4(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e10)]]) ).
cnf(refute_4_105,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e10) = h1(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_4_103,refute_4_104]) ).
cnf(refute_4_106,plain,
( h4(e10) = h1(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_4_50,refute_4_105]) ).
cnf(refute_4_107,plain,
( h4(e10) != e20
| h4(e10) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h1(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_4_108,plain,
( h4(e10) != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_31,refute_4_107]) ).
cnf(refute_4_109,plain,
( e20 = h1(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_4_106,refute_4_108]) ).
cnf(refute_4_110,plain,
( e20 != h1(e11)
| h1(e11) = e20 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e20)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_4_111,plain,
( h1(e11) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_4_109,refute_4_110]) ).
cnf(refute_4_112,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e11) != e20
| h1(e10) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_113,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = op2(e20,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_111,refute_4_112]) ).
cnf(refute_4_114,plain,
( h1(e10) = op2(e20,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_4_13,refute_4_113]) ).
cnf(refute_4_115,plain,
( h1(e10) != op2(e20,e20)
| op2(e20,e20) != h1(e11)
| h1(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h1(e11)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_4_116,plain,
( h1(e10) != op2(e20,e20)
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_6,refute_4_115]) ).
cnf(refute_4_117,plain,
( h1(e10) = h1(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e20)) )],[refute_4_114,refute_4_116]) ).
cnf(refute_4_118,plain,
h4(op1(e11,e10)) != op2(h4(e11),h4(e10)),
inference(canonicalize,[],[normalize_4_40]) ).
cnf(refute_4_119,plain,
op2(e21,h4(e10)) = op2(e21,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e10)))]]) ).
cnf(refute_4_120,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) != op2(e21,h4(e10))
| op2(e21,h4(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_121,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) )],[refute_4_119,refute_4_120]) ).
cnf(refute_4_122,plain,
op2(e21,h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_31,refute_4_121]) ).
cnf(refute_4_123,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_4_41]) ).
cnf(refute_4_124,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_4_42]) ).
cnf(refute_4_125,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_4_126,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_4_124,refute_4_125]) ).
cnf(refute_4_127,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_4_128,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_126,refute_4_127]) ).
cnf(refute_4_129,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_4_123,refute_4_128]) ).
cnf(refute_4_130,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_4_131,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_4_132,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_4_130,refute_4_131]) ).
cnf(refute_4_133,plain,
op2(h4(e11),h4(e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_4_129,refute_4_132]) ).
cnf(refute_4_134,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) != op2(e21,h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op2(h4(e11),h4(e10)))),bind(Y,$fot(op2(e21,h4(e10)))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_4_135,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,h4(e10))) )],[refute_4_133,refute_4_134]) ).
cnf(refute_4_136,plain,
op2(h4(e11),h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,e20)) )],[refute_4_122,refute_4_135]) ).
cnf(refute_4_137,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) != op2(e21,e20)
| h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_4_138,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,e20)) )],[refute_4_136,refute_4_137]) ).
cnf(refute_4_139,plain,
h4(op1(e11,e10)) != op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_4_138,refute_4_118]) ).
cnf(refute_4_140,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_4_43]) ).
cnf(refute_4_141,plain,
op1(e10,e11) != op1(e10,e12),
inference(canonicalize,[],[normalize_4_44]) ).
cnf(refute_4_142,plain,
( op2(op2(e20,e21),op2(e20,e21)) = e21
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_4_46]) ).
cnf(refute_4_143,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_4_48]) ).
cnf(refute_4_144,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_4_49]) ).
cnf(refute_4_145,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_4_50]) ).
cnf(refute_4_146,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = h3(e10) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_4_147,plain,
op2(e22,op2(e22,e22)) = h3(e10),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_4_145,refute_4_146]) ).
cnf(refute_4_148,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_4_149,plain,
( op2(e22,op2(e22,e22)) != h3(e10)
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(h3(e10))]]) ).
cnf(refute_4_150,plain,
( op2(e22,op2(e22,e22)) != h3(e10)
| op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_4_148,refute_4_149]) ).
cnf(refute_4_151,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),h3(e10)) )],[refute_4_147,refute_4_150]) ).
cnf(refute_4_152,plain,
( h3(e12) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != op2(h3(e10),e22)
| h3(e12) = op2(h3(e10),e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(h3(e10),e22)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_4_153,plain,
( h3(e12) != op2(op2(e22,op2(e22,e22)),e22)
| h3(e12) = op2(h3(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(h3(e10),e22)) )],[refute_4_151,refute_4_152]) ).
cnf(refute_4_154,plain,
h3(e12) = op2(h3(e10),e22),
inference(resolve,[$cnf( $equal(h3(e12),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_4_144,refute_4_153]) ).
cnf(refute_4_155,plain,
h3(e11) = op2(e22,e22),
inference(canonicalize,[],[normalize_4_51]) ).
cnf(refute_4_156,plain,
( h3(e11) != op2(e22,e22)
| op2(e22,e22) = h3(e11) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_4_157,plain,
op2(e22,e22) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_4_155,refute_4_156]) ).
cnf(refute_4_158,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_4_159,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_4_160,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_4_158,refute_4_159]) ).
cnf(refute_4_161,plain,
op2(e22,op2(e22,e22)) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_157,refute_4_160]) ).
cnf(refute_4_162,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) != op2(e22,h3(e11))
| h3(e10) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),op2(e22,h3(e11))) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_4_163,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| h3(e10) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h3(e11))) )],[refute_4_161,refute_4_162]) ).
cnf(refute_4_164,plain,
h3(e10) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_4_145,refute_4_163]) ).
cnf(refute_4_165,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_4_52]) ).
cnf(refute_4_166,plain,
op2(e22,op2(e20,e23)) = op2(e22,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e20,e23)))]]) ).
cnf(refute_4_167,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_4_168,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_4_166,refute_4_167]) ).
cnf(refute_4_169,plain,
op2(e22,op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_26,refute_4_168]) ).
cnf(refute_4_170,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(op2(e20,e23),op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),op2(e20,e23)))]]) ).
cnf(refute_4_171,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) != op2(op2(e20,e23),op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) ),[1,0],$fot(e22)]]) ).
cnf(refute_4_172,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) )],[refute_4_170,refute_4_171]) ).
cnf(refute_4_173,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_26,refute_4_172]) ).
cnf(refute_4_174,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,op2(e20,e23)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_4_175,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_4_173,refute_4_174]) ).
cnf(refute_4_176,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,e22)) )],[refute_4_169,refute_4_175]) ).
cnf(refute_4_177,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_4_178,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,e22)) )],[refute_4_176,refute_4_177]) ).
cnf(refute_4_179,plain,
op2(op2(e20,e23),op2(e20,e23)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_157,refute_4_178]) ).
cnf(refute_4_180,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| op2(op2(e20,e23),op2(e20,e23)) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_4_181,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),h3(e11)) )],[refute_4_179,refute_4_180]) ).
cnf(refute_4_182,plain,
( h3(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) )],[refute_4_165,refute_4_181]) ).
cnf(refute_4_183,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e11) != e23
| h3(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_184,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e10) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_4_182,refute_4_183]) ).
cnf(refute_4_185,plain,
( h3(e10) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) )],[refute_4_164,refute_4_184]) ).
cnf(refute_4_186,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_4_53]) ).
cnf(refute_4_187,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_4_188,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_157,refute_4_187]) ).
cnf(refute_4_189,plain,
h3(e11) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_4_188,refute_4_186]) ).
cnf(refute_4_190,plain,
( e23 != op2(e22,e23)
| h3(e11) != e23
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_4_191,plain,
( e23 != op2(e22,e23)
| h3(e11) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_4_182,refute_4_190]) ).
cnf(refute_4_192,plain,
( e23 != op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_4_191,refute_4_189]) ).
cnf(refute_4_193,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_4_55]) ).
cnf(refute_4_194,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_4_56]) ).
cnf(refute_4_195,plain,
( op2(e22,e23) != e21
| op2(e23,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_4_196,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_126,refute_4_195]) ).
cnf(refute_4_197,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_4_196,refute_4_194]) ).
cnf(refute_4_198,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_4_193,refute_4_197]) ).
cnf(refute_4_199,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_4_57]) ).
cnf(refute_4_200,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_4_201,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_26,refute_4_200]) ).
cnf(refute_4_202,plain,
e22 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_4_201,refute_4_199]) ).
cnf(refute_4_203,plain,
( op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_4_204,plain,
op2(e22,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_4_203,refute_4_202]) ).
cnf(refute_4_205,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_4_198,refute_4_204]) ).
cnf(refute_4_206,plain,
( e23 != e23
| op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_4_207,plain,
( e23 != e23
| e23 = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_4_205,refute_4_206]) ).
cnf(refute_4_208,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_4_207,refute_4_192]) ).
cnf(refute_4_209,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_4_210,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_208]) ).
cnf(refute_4_211,plain,
( h3(e10) != op2(e22,e23)
| op2(e22,e23) != e20
| h3(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),e20) ),[0],$fot(op2(e22,e23))]]) ).
cnf(refute_4_212,plain,
( h3(e10) != op2(e22,e23)
| h3(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_4_210,refute_4_211]) ).
cnf(refute_4_213,plain,
( h3(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e23)) )],[refute_4_185,refute_4_212]) ).
cnf(refute_4_214,plain,
( h3(e10) != e20
| h3(e12) != op2(h3(e10),e22)
| h3(e12) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e12),op2(h3(e10),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_215,plain,
( h3(e12) != op2(h3(e10),e22)
| h3(e12) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_4_213,refute_4_214]) ).
cnf(refute_4_216,plain,
( h3(e12) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(h3(e10),e22)) )],[refute_4_154,refute_4_215]) ).
cnf(refute_4_217,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) = h3(e12) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_4_218,plain,
( op2(e20,e22) = h3(e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_4_216,refute_4_217]) ).
cnf(refute_4_219,plain,
( op2(e20,e21) != h3(e12)
| op2(e20,e22) != h3(e12)
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(h3(e12))]]) ).
cnf(refute_4_220,plain,
( op2(e20,e21) != h3(e12)
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e12)) )],[refute_4_218,refute_4_219]) ).
cnf(refute_4_221,plain,
( op2(e20,e21) != h3(e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_4_220,refute_4_143]) ).
cnf(refute_4_222,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_4_58]) ).
cnf(refute_4_223,plain,
( op2(e20,e22) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_4_224,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_157,refute_4_223]) ).
cnf(refute_4_225,plain,
op2(e20,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_4_224,refute_4_222]) ).
cnf(refute_4_226,plain,
( h3(e11) != e23
| op2(e20,e22) != e23
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h3(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_4_227,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = h3(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_4_182,refute_4_226]) ).
cnf(refute_4_228,plain,
( op2(e20,e22) != e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_4_227,refute_4_225]) ).
cnf(refute_4_229,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_4_59]) ).
cnf(refute_4_230,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_4_231,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_6,refute_4_230]) ).
cnf(refute_4_232,plain,
h1(e11) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_4_231,refute_4_229]) ).
cnf(refute_4_233,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_4_60]) ).
cnf(refute_4_234,plain,
( op2(e20,e22) != h3(e12)
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e22),h3(e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) ),[0,1],$fot(h3(e12))]]) ).
cnf(refute_4_235,plain,
( op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e22),h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e12)) )],[refute_4_218,refute_4_234]) ).
cnf(refute_4_236,plain,
( op2(op2(e20,e22),h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) )],[refute_4_233,refute_4_235]) ).
cnf(refute_4_237,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_4_62]) ).
cnf(refute_4_238,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_4_239,plain,
( op2(e20,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_6,refute_4_238]) ).
cnf(refute_4_240,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_4_237,refute_4_239]) ).
cnf(refute_4_241,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_4_242,plain,
( op2(e20,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_26,refute_4_241]) ).
cnf(refute_4_243,plain,
( e22 = e20
| h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_4_240,refute_4_242]) ).
cnf(refute_4_244,plain,
e20 != e22,
inference(canonicalize,[],[normalize_4_64]) ).
cnf(refute_4_245,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_4_246,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_4_245,refute_4_244]) ).
cnf(refute_4_247,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_4_243,refute_4_246]) ).
cnf(refute_4_248,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_4_65]) ).
cnf(refute_4_249,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_4_250,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_4_251,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_4_249,refute_4_250]) ).
cnf(refute_4_252,plain,
op2(e23,op2(e23,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_126,refute_4_251]) ).
cnf(refute_4_253,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e21)
| e20 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_4_254,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e21)) )],[refute_4_252,refute_4_253]) ).
cnf(refute_4_255,plain,
e20 = op2(e23,e21),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_4_15,refute_4_254]) ).
cnf(refute_4_256,plain,
( e20 != op2(e23,e21)
| op2(e23,e21) = e20 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_4_257,plain,
op2(e23,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_4_255,refute_4_256]) ).
cnf(refute_4_258,plain,
( op2(e20,e21) != e20
| op2(e23,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_4_259,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_4_257,refute_4_258]) ).
cnf(refute_4_260,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_4_259,refute_4_248]) ).
cnf(refute_4_261,plain,
( h1(e11) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_4_247,refute_4_260]) ).
cnf(refute_4_262,plain,
( op2(e20,e22) != e20
| op2(op2(e20,e22),h3(e12)) != e22
| op2(e20,h3(e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) ),[0,0],$fot(e20)]]) ).
cnf(refute_4_263,plain,
( op2(op2(e20,e22),h3(e12)) != e22
| h1(e11) = e20
| op2(e20,h3(e12)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_261,refute_4_262]) ).
cnf(refute_4_264,plain,
( h1(e11) = e20
| op2(e20,h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) )],[refute_4_236,refute_4_263]) ).
cnf(refute_4_265,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) != e20
| h3(e12) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),e20) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_4_266,plain,
( h3(e12) != op2(e20,e22)
| h1(e11) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_261,refute_4_265]) ).
cnf(refute_4_267,plain,
( h1(e11) = e20
| h3(e12) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_4_216,refute_4_266]) ).
cnf(refute_4_268,plain,
( h3(e12) != e20
| op2(e20,h3(e12)) != e22
| op2(e20,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e12)),e22) ),[0,1],$fot(e20)]]) ).
cnf(refute_4_269,plain,
( op2(e20,h3(e12)) != e22
| h1(e11) = e20
| op2(e20,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),e20) )],[refute_4_267,refute_4_268]) ).
cnf(refute_4_270,plain,
( h1(e11) = e20
| op2(e20,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e12)),e22) )],[refute_4_264,refute_4_269]) ).
cnf(refute_4_271,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_4_272,plain,
( op2(e20,e20) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_6,refute_4_271]) ).
cnf(refute_4_273,plain,
( h1(e11) = e20
| h1(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_4_270,refute_4_272]) ).
cnf(refute_4_274,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_4_66]) ).
cnf(refute_4_275,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_4_276,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_6,refute_4_275]) ).
cnf(refute_4_277,plain,
( h1(e11) != e22
| op2(e20,e23) != e22
| h1(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_4_278,plain,
( h1(e11) != e22
| h1(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_26,refute_4_277]) ).
cnf(refute_4_279,plain,
( h1(e11) != e22
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e23)) )],[refute_4_278,refute_4_276]) ).
cnf(refute_4_280,plain,
h1(e11) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_4_279,refute_4_274]) ).
cnf(refute_4_281,plain,
( h1(e11) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_4_273,refute_4_280]) ).
cnf(refute_4_282,plain,
( e20 != op2(e20,e22)
| h1(e11) != e20
| h1(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_4_283,plain,
( e20 != op2(e20,e22)
| h1(e11) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_281,refute_4_282]) ).
cnf(refute_4_284,plain,
( e20 != op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_4_283,refute_4_232]) ).
cnf(refute_4_285,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_4_67]) ).
cnf(refute_4_286,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_4_68]) ).
cnf(refute_4_287,plain,
( op2(e20,e22) != e22
| op2(e20,e23) != e22
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_4_288,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_26,refute_4_287]) ).
cnf(refute_4_289,plain,
op2(e20,e22) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_4_288,refute_4_286]) ).
cnf(refute_4_290,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_4_285,refute_4_289]) ).
cnf(refute_4_291,plain,
( e20 != e20
| op2(e20,e22) != e20
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_4_292,plain,
( e20 != e20
| e20 = op2(e20,e22)
| op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_290,refute_4_291]) ).
cnf(refute_4_293,plain,
( e20 != e20
| op2(e20,e22) = e21
| op2(e20,e22) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_4_292,refute_4_284]) ).
cnf(refute_4_294,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_4_295,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_294,refute_4_293]) ).
cnf(refute_4_296,plain,
( e23 != e23
| op2(e20,e22) != e23
| op2(e20,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_4_297,plain,
( e23 != e23
| op2(e20,e22) = e21
| op2(e20,e22) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_4_295,refute_4_296]) ).
cnf(refute_4_298,plain,
( e23 != e23
| op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_4_297,refute_4_228]) ).
cnf(refute_4_299,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_298]) ).
cnf(refute_4_300,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) != e21
| h3(e12) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),e21) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_4_301,plain,
( h3(e12) != op2(e20,e22)
| h3(e12) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_299,refute_4_300]) ).
cnf(refute_4_302,plain,
( h3(e12) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_4_216,refute_4_301]) ).
cnf(refute_4_303,plain,
( h3(e12) != e21
| op2(e20,e21) != e21
| op2(e20,e21) = h3(e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),h3(e12)) ),[1],$fot(e21)]]) ).
cnf(refute_4_304,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = h3(e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),e21) )],[refute_4_302,refute_4_303]) ).
cnf(refute_4_305,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h3(e12)) )],[refute_4_304,refute_4_221]) ).
cnf(refute_4_306,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(canonicalize,[],[normalize_4_69]) ).
cnf(refute_4_307,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_4_70]) ).
cnf(refute_4_308,plain,
( op2(e20,e21) != e22
| op2(e20,e23) != e22
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_4_309,plain,
( op2(e20,e21) != e22
| op2(e20,e21) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_26,refute_4_308]) ).
cnf(refute_4_310,plain,
op2(e20,e21) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_4_309,refute_4_307]) ).
cnf(refute_4_311,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_4_306,refute_4_310]) ).
cnf(refute_4_312,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_4_311,refute_4_260]) ).
cnf(refute_4_313,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_4_314,plain,
( e21 != e21
| op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_312,refute_4_313]) ).
cnf(refute_4_315,plain,
( e21 != e21
| op2(e20,e21) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_314,refute_4_305]) ).
cnf(refute_4_316,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_4_317,plain,
( op2(e20,e21) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_315]) ).
cnf(refute_4_318,plain,
( op2(e20,e21) != e23
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e21),e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),op2(e20,e21)),e21) ),[0,1],$fot(e23)]]) ).
cnf(refute_4_319,plain,
( op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e21),e23) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_317,refute_4_318]) ).
cnf(refute_4_320,plain,
( op2(op2(e20,e21),e23) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),op2(e20,e21)),e21) )],[refute_4_142,refute_4_319]) ).
cnf(refute_4_321,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_4_71]) ).
cnf(refute_4_322,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_4_323,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) != op2(e20,h4(e11))
| op2(e20,h4(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_4_324,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_4_322,refute_4_323]) ).
cnf(refute_4_325,plain,
op2(e20,h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_4_129,refute_4_324]) ).
cnf(refute_4_326,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_4_327,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_328,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_4_326,refute_4_327]) ).
cnf(refute_4_329,plain,
op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_31,refute_4_328]) ).
cnf(refute_4_330,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_4_331,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_4_329,refute_4_330]) ).
cnf(refute_4_332,plain,
op2(h4(e10),h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_4_325,refute_4_331]) ).
cnf(refute_4_333,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_4_334,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_4_332,refute_4_333]) ).
cnf(refute_4_335,plain,
h4(op1(e10,e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_4_321,refute_4_334]) ).
cnf(refute_4_336,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(canonicalize,[],[normalize_4_73]) ).
cnf(refute_4_337,plain,
op1(e10,e11) != op1(e10,e13),
inference(canonicalize,[],[normalize_4_74]) ).
cnf(refute_4_338,plain,
( op1(e10,e11) != e12
| op1(e10,e13) != e12
| op1(e10,e11) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_4_339,plain,
( op1(e10,e11) != e12
| op1(e10,e11) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_4_68,refute_4_338]) ).
cnf(refute_4_340,plain,
op1(e10,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_4_339,refute_4_337]) ).
cnf(refute_4_341,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_4_336,refute_4_340]) ).
cnf(refute_4_342,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_4_341,refute_4_91]) ).
cnf(refute_4_343,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op1(e10,e11) != e11
| h4(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0,0],$fot(e11)]]) ).
cnf(refute_4_344,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(e11) = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_4_342,refute_4_343]) ).
cnf(refute_4_345,plain,
( h4(e11) = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_4_335,refute_4_344]) ).
cnf(refute_4_346,plain,
( h4(e11) != e21
| h4(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e20,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_4_347,plain,
( h4(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_4_129,refute_4_346]) ).
cnf(refute_4_348,plain,
( e21 = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e21)) )],[refute_4_345,refute_4_347]) ).
cnf(refute_4_349,plain,
( e21 != op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_4_350,plain,
( op1(e10,e11) = e13
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_4_348,refute_4_349]) ).
cnf(refute_4_351,plain,
( op2(e20,e21) != e21
| op2(op2(e20,e21),e23) != e21
| op2(e21,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e23),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_4_352,plain,
( op2(op2(e20,e21),e23) != e21
| op1(e10,e11) = e13
| op2(e21,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_350,refute_4_351]) ).
cnf(refute_4_353,plain,
( op1(e10,e11) = e13
| op2(e21,e23) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),e21) )],[refute_4_320,refute_4_352]) ).
cnf(refute_4_354,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_4_75]) ).
cnf(refute_4_355,plain,
( op2(e21,e23) != e21
| op2(e23,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_4_356,plain,
( op2(e21,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_126,refute_4_355]) ).
cnf(refute_4_357,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_4_356,refute_4_354]) ).
cnf(refute_4_358,plain,
( op1(e10,e11) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_4_353,refute_4_357]) ).
cnf(refute_4_359,plain,
( e13 != op1(e10,e12)
| op1(e10,e11) != e13
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_4_360,plain,
( e13 != op1(e10,e12)
| op1(e10,e11) = op1(e10,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_4_358,refute_4_359]) ).
cnf(refute_4_361,plain,
( e13 != op1(e10,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_4_360,refute_4_141]) ).
cnf(refute_4_362,plain,
( op2(e20,e22) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e22),e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_4_363,plain,
( op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e22),e21) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_299,refute_4_362]) ).
cnf(refute_4_364,plain,
( op2(op2(e20,e22),e21) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) )],[refute_4_233,refute_4_363]) ).
cnf(refute_4_365,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_4_76]) ).
cnf(refute_4_366,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_4_77]) ).
cnf(refute_4_367,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_4_368,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_4_21,refute_4_367]) ).
cnf(refute_4_369,plain,
op2(op2(e23,op2(e23,e23)),e23) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_26,refute_4_368]) ).
cnf(refute_4_370,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_4_371,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),e22) )],[refute_4_369,refute_4_370]) ).
cnf(refute_4_372,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_4_366,refute_4_371]) ).
cnf(refute_4_373,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_4_374,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) != op2(e20,h4(e12))
| op2(e20,h4(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_4_375,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_4_373,refute_4_374]) ).
cnf(refute_4_376,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_4_372,refute_4_375]) ).
cnf(refute_4_377,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_4_378,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_379,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_4_377,refute_4_378]) ).
cnf(refute_4_380,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_31,refute_4_379]) ).
cnf(refute_4_381,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_4_382,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_4_380,refute_4_381]) ).
cnf(refute_4_383,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_4_376,refute_4_382]) ).
cnf(refute_4_384,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_4_385,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_4_383,refute_4_384]) ).
cnf(refute_4_386,plain,
h4(op1(e10,e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_4_365,refute_4_385]) ).
cnf(refute_4_387,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_4_78]) ).
cnf(refute_4_388,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_4_79]) ).
cnf(refute_4_389,plain,
( op1(e10,e12) != e12
| op1(e10,e13) != e12
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_4_390,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_4_68,refute_4_389]) ).
cnf(refute_4_391,plain,
op1(e10,e12) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_4_390,refute_4_388]) ).
cnf(refute_4_392,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_4_387,refute_4_391]) ).
cnf(refute_4_393,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e10
| h4(e10) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e10)]]) ).
cnf(refute_4_394,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e10) = op2(e20,e22)
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_4_392,refute_4_393]) ).
cnf(refute_4_395,plain,
( h4(e10) = op2(e20,e22)
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_4_386,refute_4_394]) ).
cnf(refute_4_396,plain,
( h4(e10) != e20
| h4(e10) != op2(e20,e22)
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e20,e22)) ),[0],$fot(e20)]]) ).
cnf(refute_4_397,plain,
( h4(e10) != op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_31,refute_4_396]) ).
cnf(refute_4_398,plain,
( e20 = op2(e20,e22)
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e22)) )],[refute_4_395,refute_4_397]) ).
cnf(refute_4_399,plain,
( e20 != op2(e20,e22)
| op2(e20,e22) = e20 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_4_400,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e13
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_4_398,refute_4_399]) ).
cnf(refute_4_401,plain,
( op2(e20,e22) != e20
| op2(op2(e20,e22),e21) != e22
| op2(e20,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),e22) ),[0,0],$fot(e20)]]) ).
cnf(refute_4_402,plain,
( op2(op2(e20,e22),e21) != e22
| op1(e10,e12) = e11
| op1(e10,e12) = e13
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_400,refute_4_401]) ).
cnf(refute_4_403,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e13
| op2(e20,e21) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),e22) )],[refute_4_364,refute_4_402]) ).
cnf(refute_4_404,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_4_403,refute_4_310]) ).
cnf(refute_4_405,plain,
( e13 != e13
| op1(e10,e12) != e13
| e13 = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e10,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_4_406,plain,
( e13 != e13
| e13 = op1(e10,e12)
| op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_4_404,refute_4_405]) ).
cnf(refute_4_407,plain,
( e13 != e13
| op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e13,op1(e10,e12)) )],[refute_4_406,refute_4_361]) ).
cnf(refute_4_408,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_4_409,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_4_408,refute_4_407]) ).
cnf(refute_4_410,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_4_411,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_4_409,refute_4_410]) ).
cnf(refute_4_412,plain,
( e11 != op1(e11,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_4_411,refute_4_140]) ).
cnf(refute_4_413,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(canonicalize,[],[normalize_4_80]) ).
cnf(refute_4_414,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_4_81]) ).
cnf(refute_4_415,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_4_416,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_79,refute_4_415]) ).
cnf(refute_4_417,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_4_416,refute_4_414]) ).
cnf(refute_4_418,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_4_413,refute_4_417]) ).
cnf(refute_4_419,plain,
( e11 != e11
| op1(e11,e12) != e11
| e11 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_4_420,plain,
( e11 != e11
| e11 = op1(e11,e12)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_4_418,refute_4_419]) ).
cnf(refute_4_421,plain,
( e11 != e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_4_420,refute_4_412]) ).
cnf(refute_4_422,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_4_423,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_4_422,refute_4_421]) ).
cnf(refute_4_424,plain,
op1(e10,e10) != op1(e11,e10),
inference(canonicalize,[],[normalize_4_82]) ).
cnf(refute_4_425,plain,
( e10 != op1(e11,e10)
| op1(e10,e10) != e10
| op1(e10,e10) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[1],$fot(op1(e11,e10))]]) ).
cnf(refute_4_426,plain,
( e10 != op1(e11,e10)
| op1(e10,e10) = op1(e11,e10)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_4_103,refute_4_425]) ).
cnf(refute_4_427,plain,
( e10 != op1(e11,e10)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e11,e10)) )],[refute_4_426,refute_4_424]) ).
cnf(refute_4_428,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_4_83]) ).
cnf(refute_4_429,plain,
op1(e12,op1(e10,e13)) = op1(e12,op1(e10,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e10,e13)))]]) ).
cnf(refute_4_430,plain,
( op1(e10,e13) != e12
| op1(e12,op1(e10,e13)) != op1(e12,op1(e10,e13))
| op1(e12,op1(e10,e13)) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_4_431,plain,
( op1(e10,e13) != e12
| op1(e12,op1(e10,e13)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) )],[refute_4_429,refute_4_430]) ).
cnf(refute_4_432,plain,
op1(e12,op1(e10,e13)) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_4_68,refute_4_431]) ).
cnf(refute_4_433,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(op1(e10,e13),op1(e10,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e10,e13),op1(e10,e13)))]]) ).
cnf(refute_4_434,plain,
( op1(e10,e13) != e12
| op1(op1(e10,e13),op1(e10,e13)) != op1(op1(e10,e13),op1(e10,e13))
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(op1(e10,e13),op1(e10,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_4_435,plain,
( op1(e10,e13) != e12
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(op1(e10,e13),op1(e10,e13))) )],[refute_4_433,refute_4_434]) ).
cnf(refute_4_436,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_4_68,refute_4_435]) ).
cnf(refute_4_437,plain,
( op1(e12,op1(e10,e13)) != op1(e12,e12)
| op1(op1(e10,e13),op1(e10,e13)) != op1(e12,op1(e10,e13))
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op1(op1(e10,e13),op1(e10,e13)))),bind(Y,$fot(op1(e12,op1(e10,e13)))),bind(Z,$fot(op1(e12,e12)))]]) ).
cnf(refute_4_438,plain,
( op1(e12,op1(e10,e13)) != op1(e12,e12)
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(e12,op1(e10,e13))) )],[refute_4_436,refute_4_437]) ).
cnf(refute_4_439,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,e12)) )],[refute_4_432,refute_4_438]) ).
cnf(refute_4_440,plain,
( op1(op1(e10,e13),op1(e10,e13)) != e13
| op1(op1(e10,e13),op1(e10,e13)) != op1(e12,e12)
| op1(e12,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),e13) ),[0],$fot(op1(e12,e12))]]) ).
cnf(refute_4_441,plain,
( op1(op1(e10,e13),op1(e10,e13)) != e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(e12,e12)) )],[refute_4_439,refute_4_440]) ).
cnf(refute_4_442,plain,
( op1(e12,e12) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),e13) )],[refute_4_428,refute_4_441]) ).
cnf(refute_4_443,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(canonicalize,[],[normalize_4_84]) ).
cnf(refute_4_444,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_4_85]) ).
cnf(refute_4_445,plain,
( op1(e13,e12) != e11
| op1(e13,e13) != e11
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_4_446,plain,
( op1(e13,e12) != e11
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_79,refute_4_445]) ).
cnf(refute_4_447,plain,
op1(e13,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_4_446,refute_4_444]) ).
cnf(refute_4_448,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_4_443,refute_4_447]) ).
cnf(refute_4_449,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[0],$fot(e11)]]) ).
cnf(refute_4_450,plain,
( op1(e12,e12) != e13
| e11 = e13
| op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_4_448,refute_4_449]) ).
cnf(refute_4_451,plain,
( e11 = e13
| op1(e10,e12) = e11
| op1(e11,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_442,refute_4_450]) ).
cnf(refute_4_452,plain,
e11 != e13,
inference(canonicalize,[],[normalize_4_86]) ).
cnf(refute_4_453,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_4_451,refute_4_452]) ).
cnf(refute_4_454,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_4_87]) ).
cnf(refute_4_455,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_4_88]) ).
cnf(refute_4_456,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_4_457,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_442,refute_4_456]) ).
cnf(refute_4_458,plain,
( e13 != op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_4_457,refute_4_455]) ).
cnf(refute_4_459,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_4_89]) ).
cnf(refute_4_460,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_4_90]) ).
cnf(refute_4_461,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_4_462,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_79,refute_4_461]) ).
cnf(refute_4_463,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_4_462,refute_4_460]) ).
cnf(refute_4_464,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_4_459,refute_4_463]) ).
cnf(refute_4_465,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_4_91]) ).
cnf(refute_4_466,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_4_467,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_4_68,refute_4_466]) ).
cnf(refute_4_468,plain,
e12 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_4_467,refute_4_465]) ).
cnf(refute_4_469,plain,
( op1(e12,e13) != e12
| e12 = op1(e12,e13) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_4_470,plain,
op1(e12,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_4_469,refute_4_468]) ).
cnf(refute_4_471,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_4_464,refute_4_470]) ).
cnf(refute_4_472,plain,
( e13 != e13
| op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_4_473,plain,
( e13 != e13
| e13 = op1(e12,e13)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_4_471,refute_4_472]) ).
cnf(refute_4_474,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_4_473,refute_4_458]) ).
cnf(refute_4_475,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_4_408,refute_4_474]) ).
cnf(refute_4_476,plain,
( op1(e11,e13) != e10
| op1(e12,e13) != e10
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_4_477,plain,
( op1(e11,e13) != e10
| op1(e11,e13) = op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_4_475,refute_4_476]) ).
cnf(refute_4_478,plain,
( op1(e11,e13) != e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_4_477,refute_4_454]) ).
cnf(refute_4_479,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_4_92]) ).
cnf(refute_4_480,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_4_479,refute_4_417]) ).
cnf(refute_4_481,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_4_93]) ).
cnf(refute_4_482,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_4_483,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_4_68,refute_4_482]) ).
cnf(refute_4_484,plain,
e12 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_4_483,refute_4_481]) ).
cnf(refute_4_485,plain,
( op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_4_486,plain,
op1(e11,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_4_485,refute_4_484]) ).
cnf(refute_4_487,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_4_480,refute_4_486]) ).
cnf(refute_4_488,plain,
( e10 != e10
| op1(e11,e13) != e10
| op1(e11,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e10) ),[1],$fot(e10)]]) ).
cnf(refute_4_489,plain,
( e10 != e10
| op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_4_487,refute_4_488]) ).
cnf(refute_4_490,plain,
( e10 != e10
| op1(e11,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_4_489,refute_4_478]) ).
cnf(refute_4_491,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_4_492,plain,
( op1(e11,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_4_491,refute_4_490]) ).
cnf(refute_4_493,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(canonicalize,[],[normalize_4_94]) ).
cnf(refute_4_494,plain,
op1(e11,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_4_95]) ).
cnf(refute_4_495,plain,
( op1(e11,e11) != e10
| op1(e13,e11) != e10
| op1(e11,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_4_496,plain,
( op1(e11,e11) != e10
| op1(e11,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_4_88,refute_4_495]) ).
cnf(refute_4_497,plain,
op1(e11,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,e11)) )],[refute_4_496,refute_4_494]) ).
cnf(refute_4_498,plain,
( op1(e11,e10) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_4_493,refute_4_497]) ).
cnf(refute_4_499,plain,
( op1(e11,e13) != e10
| op1(e11,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_4_500,plain,
( op1(e11,e13) != e13
| e10 = e13
| op1(e11,e10) = e10
| op1(e11,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_4_498,refute_4_499]) ).
cnf(refute_4_501,plain,
( e10 = e13
| op1(e11,e10) = e10
| op1(e11,e12) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_4_492,refute_4_500]) ).
cnf(refute_4_502,plain,
e10 != e13,
inference(canonicalize,[],[normalize_4_96]) ).
cnf(refute_4_503,plain,
( op1(e11,e10) = e10
| op1(e11,e12) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_4_501,refute_4_502]) ).
cnf(refute_4_504,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0],$fot(e10)]]) ).
cnf(refute_4_505,plain,
( op1(e11,e12) != e11
| e10 = e11
| op1(e11,e10) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_4_503,refute_4_504]) ).
cnf(refute_4_506,plain,
( e10 = e11
| op1(e10,e12) = e11
| op1(e11,e10) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_4_453,refute_4_505]) ).
cnf(refute_4_507,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_4_97]) ).
cnf(refute_4_508,plain,
( op1(e13,e11) != e11
| op1(e13,e13) != e11
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_4_509,plain,
( op1(e13,e11) != e11
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_79,refute_4_508]) ).
cnf(refute_4_510,plain,
op1(e13,e11) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_4_509,refute_4_507]) ).
cnf(refute_4_511,plain,
( e10 != e11
| op1(e13,e11) != e10
| op1(e13,e11) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e10) ),[1],$fot(e11)]]) ).
cnf(refute_4_512,plain,
( e10 != e11
| op1(e13,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_4_88,refute_4_511]) ).
cnf(refute_4_513,plain,
e10 != e11,
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_4_512,refute_4_510]) ).
cnf(refute_4_514,plain,
( op1(e10,e12) = e11
| op1(e11,e10) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_4_506,refute_4_513]) ).
cnf(refute_4_515,plain,
( e10 != e10
| op1(e11,e10) != e10
| e10 = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e10)) ),[1],$fot(e10)]]) ).
cnf(refute_4_516,plain,
( e10 != e10
| e10 = op1(e11,e10)
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_4_514,refute_4_515]) ).
cnf(refute_4_517,plain,
( e10 != e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,op1(e11,e10)) )],[refute_4_516,refute_4_427]) ).
cnf(refute_4_518,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_4_491,refute_4_517]) ).
cnf(refute_4_519,plain,
( op1(e10,e12) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e11,op1(e10,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) ),[0,0],$fot(e11)]]) ).
cnf(refute_4_520,plain,
( op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e11,op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_4_518,refute_4_519]) ).
cnf(refute_4_521,plain,
( op1(e11,op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) )],[refute_4_54,refute_4_520]) ).
cnf(refute_4_522,plain,
( op1(e10,e12) != e11
| op1(e11,op1(e10,e12)) != e12
| op1(e11,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e10,e12)),e12) ),[0,1],$fot(e11)]]) ).
cnf(refute_4_523,plain,
( op1(e11,op1(e10,e12)) != e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_4_518,refute_4_522]) ).
cnf(refute_4_524,plain,
( op1(e11,e11) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e10,e12)),e12) )],[refute_4_521,refute_4_523]) ).
cnf(refute_4_525,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e11) ),[0],$fot(e12)]]) ).
cnf(refute_4_526,plain,
( op1(e11,e11) != e11
| e12 = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_4_524,refute_4_525]) ).
cnf(refute_4_527,plain,
( e12 = e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_4_423,refute_4_526]) ).
cnf(refute_4_528,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_4_98]) ).
cnf(refute_4_529,plain,
( e12 != op1(e13,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e13,e13))]]) ).
cnf(refute_4_530,plain,
( e12 != op1(e13,e13)
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_4_68,refute_4_529]) ).
cnf(refute_4_531,plain,
( e12 != e11
| op1(e13,e13) != e11
| e12 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_4_532,plain,
( e12 != e11
| e12 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_79,refute_4_531]) ).
cnf(refute_4_533,plain,
( e12 != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_4_532,refute_4_530]) ).
cnf(refute_4_534,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_4_533,refute_4_528]) ).
cnf(refute_4_535,plain,
( op1(e11,e10) = e11
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_4_527,refute_4_534]) ).
cnf(refute_4_536,plain,
( h4(e11) != op2(e21,e20)
| op1(e11,e10) != e11
| h4(op1(e11,e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[0,0],$fot(e11)]]) ).
cnf(refute_4_537,plain,
( h4(e11) != op2(e21,e20)
| h4(op1(e11,e10)) = op2(e21,e20)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_4_535,refute_4_536]) ).
cnf(refute_4_538,plain,
( h4(e11) != op2(e21,e20)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) )],[refute_4_537,refute_4_139]) ).
cnf(refute_4_539,plain,
( e21 != op2(e21,e20)
| h4(e11) != e21
| h4(e11) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_4_540,plain,
( e21 != op2(e21,e20)
| h4(e11) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_4_129,refute_4_539]) ).
cnf(refute_4_541,plain,
( e21 != op2(e21,e20)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e20)) )],[refute_4_540,refute_4_538]) ).
cnf(refute_4_542,plain,
op2(e21,e20) != op2(e21,e21),
inference(canonicalize,[],[normalize_4_99]) ).
cnf(refute_4_543,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_4_100]) ).
cnf(refute_4_544,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_4_545,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_4_543,refute_4_544]) ).
cnf(refute_4_546,plain,
( op2(e21,e20) != h2(e11)
| op2(e21,e21) != h2(e11)
| op2(e21,e20) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e21)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_4_547,plain,
( op2(e21,e20) != h2(e11)
| op2(e21,e20) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_545,refute_4_546]) ).
cnf(refute_4_548,plain,
op2(e21,e20) != h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e21)) )],[refute_4_547,refute_4_542]) ).
cnf(refute_4_549,plain,
( op2(e20,e22) != e21
| op2(op2(e20,e22),h3(e12)) != e22
| op2(e21,h3(e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) ),[0,0],$fot(e21)]]) ).
cnf(refute_4_550,plain,
( op2(op2(e20,e22),h3(e12)) != e22
| op2(e21,h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_299,refute_4_549]) ).
cnf(refute_4_551,plain,
( op2(e21,h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) )],[refute_4_236,refute_4_550]) ).
cnf(refute_4_552,plain,
( h3(e12) != e21
| op2(e21,h3(e12)) != e22
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e12)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_4_553,plain,
( op2(e21,h3(e12)) != e22
| op2(e21,e21) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),e21) )],[refute_4_302,refute_4_552]) ).
cnf(refute_4_554,plain,
( op2(e21,e21) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e12)),e22) )],[refute_4_551,refute_4_553]) ).
cnf(refute_4_555,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_4_556,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_545,refute_4_555]) ).
cnf(refute_4_557,plain,
( h2(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_4_554,refute_4_556]) ).
cnf(refute_4_558,plain,
( h2(e11) != e22
| op2(e21,e20) != e22
| op2(e21,e20) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),h2(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_4_559,plain,
( op2(e21,e20) != e22
| op2(e21,e20) = h2(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_4_557,refute_4_558]) ).
cnf(refute_4_560,plain,
( op2(e21,e20) != e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e11)) )],[refute_4_559,refute_4_548]) ).
cnf(refute_4_561,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(canonicalize,[],[normalize_4_101]) ).
cnf(refute_4_562,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_4_563,plain,
( op2(e20,e20) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_6,refute_4_562]) ).
cnf(refute_4_564,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_4_561,refute_4_563]) ).
cnf(refute_4_565,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_4_102]) ).
cnf(refute_4_566,plain,
( op2(e23,e20) != e21
| op2(e23,e23) != e21
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_4_567,plain,
( op2(e23,e20) != e21
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_126,refute_4_566]) ).
cnf(refute_4_568,plain,
op2(e23,e20) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_4_567,refute_4_565]) ).
cnf(refute_4_569,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_4_564,refute_4_568]) ).
cnf(refute_4_570,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_4_103]) ).
cnf(refute_4_571,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_4_104]) ).
cnf(refute_4_572,plain,
( h3(e11) != op2(e23,e22)
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_4_573,plain,
( h3(e11) != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_157,refute_4_572]) ).
cnf(refute_4_574,plain,
h3(e11) != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_4_573,refute_4_571]) ).
cnf(refute_4_575,plain,
( e23 != op2(e23,e22)
| h3(e11) != e23
| h3(e11) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_4_576,plain,
( e23 != op2(e23,e22)
| h3(e11) = op2(e23,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_4_182,refute_4_575]) ).
cnf(refute_4_577,plain,
( e23 != op2(e23,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,e22)) )],[refute_4_576,refute_4_574]) ).
cnf(refute_4_578,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_4_105]) ).
cnf(refute_4_579,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_4_106]) ).
cnf(refute_4_580,plain,
( op2(e23,e22) != e21
| op2(e23,e23) != e21
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_4_581,plain,
( op2(e23,e22) != e21
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_126,refute_4_580]) ).
cnf(refute_4_582,plain,
op2(e23,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_4_581,refute_4_579]) ).
cnf(refute_4_583,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_4_578,refute_4_582]) ).
cnf(refute_4_584,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_4_107]) ).
cnf(refute_4_585,plain,
( e20 != op2(e23,e22)
| op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e20) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_4_586,plain,
( e20 != op2(e23,e22)
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_4_257,refute_4_585]) ).
cnf(refute_4_587,plain,
e20 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_4_586,refute_4_584]) ).
cnf(refute_4_588,plain,
( op2(e23,e22) != e20
| e20 = op2(e23,e22) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e20))]]) ).
cnf(refute_4_589,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_4_588,refute_4_587]) ).
cnf(refute_4_590,plain,
( op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_4_583,refute_4_589]) ).
cnf(refute_4_591,plain,
( e23 != e23
| op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_4_592,plain,
( e23 != e23
| e23 = op2(e23,e22)
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_4_590,refute_4_591]) ).
cnf(refute_4_593,plain,
( e23 != e23
| op2(e23,e22) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_4_592,refute_4_577]) ).
cnf(refute_4_594,plain,
( op2(e23,e22) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_593]) ).
cnf(refute_4_595,plain,
( op2(e23,e20) != e22
| op2(e23,e22) != e22
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_4_596,plain,
( op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_4_594,refute_4_595]) ).
cnf(refute_4_597,plain,
( op2(e23,e20) != e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_4_596,refute_4_570]) ).
cnf(refute_4_598,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_4_108]) ).
cnf(refute_4_599,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_4_598,refute_4_568]) ).
cnf(refute_4_600,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_4_109]) ).
cnf(refute_4_601,plain,
( op2(e23,e20) != e20
| op2(e23,e21) != e20
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_4_602,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_4_257,refute_4_601]) ).
cnf(refute_4_603,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_4_602,refute_4_600]) ).
cnf(refute_4_604,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_4_599,refute_4_603]) ).
cnf(refute_4_605,plain,
( e22 != e22
| op2(e23,e20) != e22
| op2(e23,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(e22)]]) ).
cnf(refute_4_606,plain,
( e22 != e22
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_4_604,refute_4_605]) ).
cnf(refute_4_607,plain,
( e22 != e22
| op2(e23,e20) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_4_606,refute_4_597]) ).
cnf(refute_4_608,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_4_609,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_608,refute_4_607]) ).
cnf(refute_4_610,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(canonicalize,[],[normalize_4_110]) ).
cnf(refute_4_611,plain,
( h1(e11) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_4_610,refute_4_272]) ).
cnf(refute_4_612,plain,
( op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_4_611,refute_4_280]) ).
cnf(refute_4_613,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0],$fot(e22)]]) ).
cnf(refute_4_614,plain,
( op2(e23,e20) != e23
| e22 = e23
| op2(e21,e20) = e22
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_4_612,refute_4_613]) ).
cnf(refute_4_615,plain,
( e22 = e23
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_4_609,refute_4_614]) ).
cnf(refute_4_616,plain,
e22 != e23,
inference(canonicalize,[],[normalize_4_111]) ).
cnf(refute_4_617,plain,
( op2(e21,e20) = e22
| op2(e22,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_615,refute_4_616]) ).
cnf(refute_4_618,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[0],$fot(e22)]]) ).
cnf(refute_4_619,plain,
( op2(e22,e20) != e21
| e22 = e21
| op2(e21,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_4_617,refute_4_618]) ).
cnf(refute_4_620,plain,
( e22 = e21
| h1(e11) = e21
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_4_569,refute_4_619]) ).
cnf(refute_4_621,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_4_112]) ).
cnf(refute_4_622,plain,
( e22 != op2(e23,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_4_623,plain,
( e22 != op2(e23,e23)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_26,refute_4_622]) ).
cnf(refute_4_624,plain,
( e22 != e21
| op2(e23,e23) != e21
| e22 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_4_625,plain,
( e22 != e21
| e22 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_126,refute_4_624]) ).
cnf(refute_4_626,plain,
( e22 != e21
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_4_625,refute_4_623]) ).
cnf(refute_4_627,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_4_626,refute_4_621]) ).
cnf(refute_4_628,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_4_620,refute_4_627]) ).
cnf(refute_4_629,plain,
( e22 != e22
| op2(e21,e20) != e22
| op2(e21,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e22) ),[1],$fot(e22)]]) ).
cnf(refute_4_630,plain,
( e22 != e22
| h1(e11) = e21
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_4_628,refute_4_629]) ).
cnf(refute_4_631,plain,
( e22 != e22
| h1(e11) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_4_630,refute_4_560]) ).
cnf(refute_4_632,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_608,refute_4_631]) ).
cnf(refute_4_633,plain,
( e21 != e21
| op2(e21,e20) != e21
| e21 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e20)) ),[1],$fot(e21)]]) ).
cnf(refute_4_634,plain,
( e21 != e21
| e21 = op2(e21,e20)
| h1(e11) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_4_632,refute_4_633]) ).
cnf(refute_4_635,plain,
( e21 != e21
| h1(e11) = e21
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_4_634,refute_4_541]) ).
cnf(refute_4_636,plain,
( h1(e11) = e21
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_635]) ).
cnf(refute_4_637,plain,
( h1(e10) != h1(e11)
| h1(e11) != e21
| h1(e10) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_4_638,plain,
( h1(e10) != h1(e11)
| h1(e10) = e21
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_636,refute_4_637]) ).
cnf(refute_4_639,plain,
( h1(e10) = e21
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e11)) )],[refute_4_117,refute_4_638]) ).
cnf(refute_4_640,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_4_113]) ).
cnf(refute_4_641,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_4_642,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_6,refute_4_641]) ).
cnf(refute_4_643,plain,
h1(e11) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_4_642,refute_4_640]) ).
cnf(refute_4_644,plain,
( h1(e11) != e23
| op2(e20,e21) != e23
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_4_645,plain,
( h1(e11) != e23
| h1(e11) = op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_312,refute_4_644]) ).
cnf(refute_4_646,plain,
( h1(e11) != e23
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_4_645,refute_4_643]) ).
cnf(refute_4_647,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_4_114]) ).
cnf(refute_4_648,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_4_649,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_6,refute_4_648]) ).
cnf(refute_4_650,plain,
( h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_4_647,refute_4_649]) ).
cnf(refute_4_651,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e22)]]) ).
cnf(refute_4_652,plain,
( op2(e20,e23) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_26,refute_4_651]) ).
cnf(refute_4_653,plain,
( e22 = e23
| h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_4_650,refute_4_652]) ).
cnf(refute_4_654,plain,
( h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_653,refute_4_616]) ).
cnf(refute_4_655,plain,
( op2(e20,e22) != e20
| op2(e20,e22) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0],$fot(e23)]]) ).
cnf(refute_4_656,plain,
( op2(e20,e22) != e20
| e23 = e20
| h1(e11) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_4_654,refute_4_655]) ).
cnf(refute_4_657,plain,
( e23 = e20
| h1(e11) = e20
| h1(e11) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_261,refute_4_656]) ).
cnf(refute_4_658,plain,
e20 != e23,
inference(canonicalize,[],[normalize_4_115]) ).
cnf(refute_4_659,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_4_660,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_659,refute_4_658]) ).
cnf(refute_4_661,plain,
( h1(e11) = e20
| h1(e11) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_4_657,refute_4_660]) ).
cnf(refute_4_662,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_4_116]) ).
cnf(refute_4_663,plain,
( h1(e11) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_4_662,refute_4_239]) ).
cnf(refute_4_664,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_4_663,refute_4_563]) ).
cnf(refute_4_665,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_4_664,refute_4_272]) ).
cnf(refute_4_666,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_4_665,refute_4_649]) ).
cnf(refute_4_667,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_4_666,refute_4_280]) ).
cnf(refute_4_668,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e11) != e21
| h1(e10) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_4_669,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = op2(e20,e21)
| h1(e11) = e20
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_667,refute_4_668]) ).
cnf(refute_4_670,plain,
( h1(e10) = op2(e20,e21)
| h1(e11) = e20
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_4_13,refute_4_669]) ).
cnf(refute_4_671,plain,
( h1(e10) != op2(e20,e21)
| op2(e20,e21) = h1(e10) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_4_672,plain,
( h1(e11) = e20
| h1(e11) = e23
| op2(e20,e21) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e21)) )],[refute_4_670,refute_4_671]) ).
cnf(refute_4_673,plain,
( op2(e20,e21) != e23
| op2(e20,e21) != h1(e10)
| h1(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(h1(e10))]]) ).
cnf(refute_4_674,plain,
( op2(e20,e21) != e23
| h1(e10) = e23
| h1(e11) = e20
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e10)) )],[refute_4_672,refute_4_673]) ).
cnf(refute_4_675,plain,
( h1(e10) = e23
| h1(e11) = e20
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_661,refute_4_674]) ).
cnf(refute_4_676,plain,
( e23 != e23
| h1(e11) != e23
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_4_677,plain,
( e23 != e23
| h1(e10) = e23
| h1(e11) = e20
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_675,refute_4_676]) ).
cnf(refute_4_678,plain,
( e23 != e23
| h1(e10) = e23
| h1(e11) = e20
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_677,refute_4_646]) ).
cnf(refute_4_679,plain,
( h1(e10) = e23
| h1(e11) = e20
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_678]) ).
cnf(refute_4_680,plain,
( h1(e11) != e21
| op2(e20,e21) != e21
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_4_681,plain,
( h1(e11) != e21
| h1(e10) = e23
| h1(e11) = e20
| h1(e11) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_679,refute_4_680]) ).
cnf(refute_4_682,plain,
( h1(e11) != e21
| h1(e10) = e23
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_4_681,refute_4_643]) ).
cnf(refute_4_683,plain,
( h1(e11) != e20
| h1(e11) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[0],$fot(e21)]]) ).
cnf(refute_4_684,plain,
( h1(e11) != e21
| e21 = e20
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_682,refute_4_683]) ).
cnf(refute_4_685,plain,
e20 != e21,
inference(canonicalize,[],[normalize_4_117]) ).
cnf(refute_4_686,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_4_687,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_4_686,refute_4_685]) ).
cnf(refute_4_688,plain,
( h1(e11) != e21
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_4_684,refute_4_687]) ).
cnf(refute_4_689,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e11) != e23
| h1(e10) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_690,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = op2(e20,e23)
| h1(e11) = e20
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_667,refute_4_689]) ).
cnf(refute_4_691,plain,
( h1(e10) = op2(e20,e23)
| h1(e11) = e20
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_4_13,refute_4_690]) ).
cnf(refute_4_692,plain,
( h1(e10) != op2(e20,e23)
| op2(e20,e23) != e22
| h1(e10) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e22) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_4_693,plain,
( h1(e10) != op2(e20,e23)
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_26,refute_4_692]) ).
cnf(refute_4_694,plain,
( h1(e10) = e22
| h1(e11) = e20
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e23)) )],[refute_4_691,refute_4_693]) ).
cnf(refute_4_695,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = e22
| h1(e10) = op2(e20,e20)
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_694,refute_4_112]) ).
cnf(refute_4_696,plain,
( h1(e10) = e22
| h1(e10) = op2(e20,e20)
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_4_13,refute_4_695]) ).
cnf(refute_4_697,plain,
( h1(e10) = e22
| h1(e10) = h1(e11)
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e20)) )],[refute_4_696,refute_4_116]) ).
cnf(refute_4_698,plain,
( h1(e10) != h1(e11)
| h1(e11) = h1(e10) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_4_699,plain,
( h1(e10) = e22
| h1(e11) = e21
| h1(e11) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e11)) )],[refute_4_697,refute_4_698]) ).
cnf(refute_4_700,plain,
( h1(e10) != e21
| h1(e11) != h1(e10)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),h1(e10)) ),[1],$fot(e21)]]) ).
cnf(refute_4_701,plain,
( h1(e10) != e21
| h1(e10) = e22
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_4_699,refute_4_700]) ).
cnf(refute_4_702,plain,
( h1(e10) != e21
| h1(e10) = e22
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_701,refute_4_688]) ).
cnf(refute_4_703,plain,
( h1(e10) != e21
| h1(e10) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e22) ),[0],$fot(e21)]]) ).
cnf(refute_4_704,plain,
( h1(e10) != e21
| e21 = e22
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_4_702,refute_4_703]) ).
cnf(refute_4_705,plain,
( h1(e10) != e21
| h1(e10) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e23) ),[0],$fot(e21)]]) ).
cnf(refute_4_706,plain,
( h1(e10) != e21
| e21 = e22
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_4_704,refute_4_705]) ).
cnf(refute_4_707,plain,
( e21 != e22
| e22 = e21 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e21)),bind(Y,$fot(e22))]]) ).
cnf(refute_4_708,plain,
e21 != e22,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_4_707,refute_4_627]) ).
cnf(refute_4_709,plain,
( h1(e10) != e21
| e21 = e23 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_706,refute_4_708]) ).
cnf(refute_4_710,plain,
e21 != e23,
inference(canonicalize,[],[normalize_4_118]) ).
cnf(refute_4_711,plain,
h1(e10) != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_709,refute_4_710]) ).
cnf(refute_4_712,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_4_639,refute_4_711]) ).
cnf(refute_4_713,plain,
( ~ definitionFOFtoCNF_3
| op2(op2(e21,e23),op2(e21,e23)) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_4_712,refute_4_53]) ).
cnf(refute_4_714,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 ),
inference(canonicalize,[],[normalize_4_121]) ).
cnf(refute_4_715,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_4_122]) ).
cnf(refute_4_716,plain,
( op2(e20,e21) != h2(e11)
| op2(e21,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_4_717,plain,
( op2(e20,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_545,refute_4_716]) ).
cnf(refute_4_718,plain,
op2(e20,e21) != h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_4_717,refute_4_715]) ).
cnf(refute_4_719,plain,
( e23 != h2(e11)
| op2(e20,e21) != e23
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(h2(e11))]]) ).
cnf(refute_4_720,plain,
( e23 != h2(e11)
| op2(e20,e21) = e21
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_312,refute_4_719]) ).
cnf(refute_4_721,plain,
( e23 != h2(e11)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_4_720,refute_4_718]) ).
cnf(refute_4_722,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_4_127]) ).
cnf(refute_4_723,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_4_724,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_4_725,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_4_723,refute_4_724]) ).
cnf(refute_4_726,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_126,refute_4_725]) ).
cnf(refute_4_727,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_4_728,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_4_729,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_4_727,refute_4_728]) ).
cnf(refute_4_730,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_126,refute_4_729]) ).
cnf(refute_4_731,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_4_732,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_4_730,refute_4_731]) ).
cnf(refute_4_733,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_4_726,refute_4_732]) ).
cnf(refute_4_734,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_4_735,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_4_733,refute_4_734]) ).
cnf(refute_4_736,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_545,refute_4_735]) ).
cnf(refute_4_737,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_4_738,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_4_736,refute_4_737]) ).
cnf(refute_4_739,plain,
( h2(e11) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) )],[refute_4_722,refute_4_738]) ).
cnf(refute_4_740,plain,
( e23 != e23
| h2(e11) != e23
| e23 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h2(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_4_741,plain,
( e23 != e23
| e23 = h2(e11)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_4_739,refute_4_740]) ).
cnf(refute_4_742,plain,
( e23 != e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,h2(e11)) )],[refute_4_741,refute_4_721]) ).
cnf(refute_4_743,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_742]) ).
cnf(refute_4_744,plain,
( h1(e11) != e21
| h1(e11) = op2(e20,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_743,refute_4_680]) ).
cnf(refute_4_745,plain,
( h1(e11) != e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_4_744,refute_4_643]) ).
cnf(refute_4_746,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_4_128]) ).
cnf(refute_4_747,plain,
op2(e20,op2(e23,e21)) = op2(e20,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e21)))]]) ).
cnf(refute_4_748,plain,
( op2(e20,op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(e23,e21) != e20
| op2(e20,op2(e23,e21)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_749,plain,
( op2(e23,e21) != e20
| op2(e20,op2(e23,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_4_747,refute_4_748]) ).
cnf(refute_4_750,plain,
op2(e20,op2(e23,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_4_257,refute_4_749]) ).
cnf(refute_4_751,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(op2(e23,e21),op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),op2(e23,e21)))]]) ).
cnf(refute_4_752,plain,
( op2(e23,e21) != e20
| op2(op2(e23,e21),op2(e23,e21)) != op2(op2(e23,e21),op2(e23,e21))
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(op2(e23,e21),op2(e23,e21))) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_753,plain,
( op2(e23,e21) != e20
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(op2(e23,e21),op2(e23,e21))) )],[refute_4_751,refute_4_752]) ).
cnf(refute_4_754,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_4_257,refute_4_753]) ).
cnf(refute_4_755,plain,
( op2(e20,op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op2(op2(e23,e21),op2(e23,e21)))),bind(Y,$fot(op2(e20,op2(e23,e21)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_4_756,plain,
( op2(e20,op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_4_754,refute_4_755]) ).
cnf(refute_4_757,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,e20)) )],[refute_4_750,refute_4_756]) ).
cnf(refute_4_758,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e23,e21),op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) = h1(e11) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op2(op2(e23,e21),op2(e23,e21)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_4_759,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e23,e21),op2(e23,e21)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(e20,e20)) )],[refute_4_757,refute_4_758]) ).
cnf(refute_4_760,plain,
op2(op2(e23,e21),op2(e23,e21)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_6,refute_4_759]) ).
cnf(refute_4_761,plain,
( op2(op2(e23,e21),op2(e23,e21)) != e21
| op2(op2(e23,e21),op2(e23,e21)) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_4_762,plain,
( op2(op2(e23,e21),op2(e23,e21)) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),h1(e11)) )],[refute_4_760,refute_4_761]) ).
cnf(refute_4_763,plain,
( h1(e11) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),e21) )],[refute_4_746,refute_4_762]) ).
cnf(refute_4_764,plain,
( e21 != e21
| h1(e11) != e21
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_4_765,plain,
( e21 != e21
| h1(e11) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_763,refute_4_764]) ).
cnf(refute_4_766,plain,
( e21 != e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_765,refute_4_745]) ).
cnf(refute_4_767,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_766]) ).
cnf(refute_4_768,plain,
( op2(op2(e22,e20),op2(e22,e20)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_4_767,refute_4_714]) ).
cnf(refute_4_769,plain,
h1(e12) = op2(op2(e20,op2(e20,e20)),e20),
inference(canonicalize,[],[normalize_4_129]) ).
cnf(refute_4_770,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = h1(e10) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e20,op2(e20,e20))))]]) ).
cnf(refute_4_771,plain,
op2(e20,op2(e20,e20)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,op2(e20,e20))) )],[refute_4_0,refute_4_770]) ).
cnf(refute_4_772,plain,
op2(op2(e20,op2(e20,e20)),e20) = op2(op2(e20,op2(e20,e20)),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,op2(e20,e20)),e20))]]) ).
cnf(refute_4_773,plain,
( op2(e20,op2(e20,e20)) != h1(e10)
| op2(op2(e20,op2(e20,e20)),e20) != op2(op2(e20,op2(e20,e20)),e20)
| op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e10),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(op2(e20,op2(e20,e20)),e20)) ),[1,0],$fot(h1(e10))]]) ).
cnf(refute_4_774,plain,
( op2(e20,op2(e20,e20)) != h1(e10)
| op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e10),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(op2(e20,op2(e20,e20)),e20)) )],[refute_4_772,refute_4_773]) ).
cnf(refute_4_775,plain,
op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e10),e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),h1(e10)) )],[refute_4_771,refute_4_774]) ).
cnf(refute_4_776,plain,
( h1(e12) != op2(op2(e20,op2(e20,e20)),e20)
| op2(op2(e20,op2(e20,e20)),e20) != op2(h1(e10),e20)
| h1(e12) = op2(h1(e10),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e12),op2(h1(e10),e20)) ),[0],$fot(op2(op2(e20,op2(e20,e20)),e20))]]) ).
cnf(refute_4_777,plain,
( h1(e12) != op2(op2(e20,op2(e20,e20)),e20)
| h1(e12) = op2(h1(e10),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(h1(e10),e20)) )],[refute_4_775,refute_4_776]) ).
cnf(refute_4_778,plain,
h1(e12) = op2(h1(e10),e20),
inference(resolve,[$cnf( $equal(h1(e12),op2(op2(e20,op2(e20,e20)),e20)) )],[refute_4_769,refute_4_777]) ).
cnf(refute_4_779,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference(canonicalize,[],[normalize_4_130]) ).
cnf(refute_4_780,plain,
( op2(op2(e22,e23),op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_4_767,refute_4_779]) ).
cnf(refute_4_781,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_4_131]) ).
cnf(refute_4_782,plain,
( op2(e21,e23) != e23
| op2(e22,e23) != e23
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_4_783,plain,
( op2(e21,e23) != e23
| op2(e21,e23) = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_4_205,refute_4_782]) ).
cnf(refute_4_784,plain,
( op2(e21,e23) != e23
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_4_783,refute_4_781]) ).
cnf(refute_4_785,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_4_132]) ).
cnf(refute_4_786,plain,
( e22 = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_4_785,refute_4_652]) ).
cnf(refute_4_787,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e21)]]) ).
cnf(refute_4_788,plain,
( op2(e23,e23) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_126,refute_4_787]) ).
cnf(refute_4_789,plain,
( e21 = e23
| e22 = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_4_786,refute_4_788]) ).
cnf(refute_4_790,plain,
( e22 = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_789,refute_4_710]) ).
cnf(refute_4_791,plain,
( op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_790,refute_4_616]) ).
cnf(refute_4_792,plain,
( op2(e22,e23) != e23
| op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(op2(e22,e23),e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_4_793,plain,
( op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e21,e23) = e23
| op2(op2(e22,e23),e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_4_791,refute_4_792]) ).
cnf(refute_4_794,plain,
( op2(e21,e23) = e23
| op2(op2(e22,e23),e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) )],[refute_4_780,refute_4_793]) ).
cnf(refute_4_795,plain,
( op2(e22,e23) != e23
| op2(op2(e22,e23),e23) != e23
| op2(e23,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_4_796,plain,
( op2(op2(e22,e23),e23) != e23
| op2(e21,e23) = e23
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_4_791,refute_4_795]) ).
cnf(refute_4_797,plain,
( op2(e21,e23) = e23
| op2(e23,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),e23) )],[refute_4_794,refute_4_796]) ).
cnf(refute_4_798,plain,
( e21 = e23
| op2(e21,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_4_797,refute_4_788]) ).
cnf(refute_4_799,plain,
( op2(e21,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_798,refute_4_710]) ).
cnf(refute_4_800,plain,
( e23 != e23
| op2(e21,e23) != e23
| op2(e21,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_4_801,plain,
( e23 != e23
| op2(e21,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_4_799,refute_4_800]) ).
cnf(refute_4_802,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_4_801,refute_4_784]) ).
cnf(refute_4_803,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_802]) ).
cnf(refute_4_804,plain,
( op2(e22,e23) != e20
| op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e20,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) ),[0,0],$fot(e20)]]) ).
cnf(refute_4_805,plain,
( op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e20,op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_4_803,refute_4_804]) ).
cnf(refute_4_806,plain,
( op2(e20,op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) )],[refute_4_780,refute_4_805]) ).
cnf(refute_4_807,plain,
( op2(e20,op2(e22,e23)) != e23
| op2(e22,e23) != e20
| op2(e20,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e23)),e23) ),[0,1],$fot(e20)]]) ).
cnf(refute_4_808,plain,
( op2(e20,op2(e22,e23)) != e23
| op2(e20,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_4_803,refute_4_807]) ).
cnf(refute_4_809,plain,
( op2(e20,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e23)),e23) )],[refute_4_806,refute_4_808]) ).
cnf(refute_4_810,plain,
( h1(e11) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_4_809,refute_4_649]) ).
cnf(refute_4_811,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = op2(e20,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_810,refute_4_689]) ).
cnf(refute_4_812,plain,
( h1(e10) = op2(e20,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_4_13,refute_4_811]) ).
cnf(refute_4_813,plain,
( h1(e10) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e23)) )],[refute_4_812,refute_4_693]) ).
cnf(refute_4_814,plain,
( h1(e10) != e22
| h1(e12) != op2(h1(e10),e20)
| h1(e12) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),op2(h1(e10),e20)) ),[1,0],$fot(e22)]]) ).
cnf(refute_4_815,plain,
( h1(e12) != op2(h1(e10),e20)
| h1(e12) = op2(e22,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_4_813,refute_4_814]) ).
cnf(refute_4_816,plain,
( h1(e12) = op2(e22,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(h1(e10),e20)) )],[refute_4_778,refute_4_815]) ).
cnf(refute_4_817,plain,
op2(e21,e21) != op2(e21,e22),
inference(canonicalize,[],[normalize_4_133]) ).
cnf(refute_4_818,plain,
( h2(e11) != op2(e21,e22)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_4_819,plain,
( h2(e11) != op2(e21,e22)
| op2(e21,e21) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_545,refute_4_818]) ).
cnf(refute_4_820,plain,
h2(e11) != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e22)) )],[refute_4_819,refute_4_817]) ).
cnf(refute_4_821,plain,
( e23 != e23
| h1(e11) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_810,refute_4_676]) ).
cnf(refute_4_822,plain,
( e23 != e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_821,refute_4_646]) ).
cnf(refute_4_823,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_822]) ).
cnf(refute_4_824,plain,
( e21 != h2(e11)
| op2(e20,e21) != e21
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(h2(e11))]]) ).
cnf(refute_4_825,plain,
( e21 != h2(e11)
| op2(e20,e21) = h2(e11)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_823,refute_4_824]) ).
cnf(refute_4_826,plain,
( e21 != h2(e11)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_4_825,refute_4_718]) ).
cnf(refute_4_827,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_4_134]) ).
cnf(refute_4_828,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_4_829,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_545,refute_4_828]) ).
cnf(refute_4_830,plain,
h2(e11) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_4_829,refute_4_827]) ).
cnf(refute_4_831,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(canonicalize,[],[normalize_4_135]) ).
cnf(refute_4_832,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e11)
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e11))]]) ).
cnf(refute_4_833,plain,
( op2(e21,e21) != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_545,refute_4_832]) ).
cnf(refute_4_834,plain,
( h2(e11) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_4_831,refute_4_833]) ).
cnf(refute_4_835,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e11)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_4_836,plain,
( op2(e21,e21) != e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_545,refute_4_835]) ).
cnf(refute_4_837,plain,
( h2(e11) = e20
| h2(e11) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_4_834,refute_4_836]) ).
cnf(refute_4_838,plain,
( h2(e11) = e20
| h2(e11) = e21
| h2(e11) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_4_837,refute_4_556]) ).
cnf(refute_4_839,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_4_840,plain,
( op2(e21,e21) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_545,refute_4_839]) ).
cnf(refute_4_841,plain,
( h2(e11) = e20
| h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_4_838,refute_4_840]) ).
cnf(refute_4_842,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_4_136]) ).
cnf(refute_4_843,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_4_844,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_545,refute_4_843]) ).
cnf(refute_4_845,plain,
h2(e11) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_4_844,refute_4_842]) ).
cnf(refute_4_846,plain,
( h2(e11) != e20
| op2(e23,e21) != e20
| h2(e11) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_4_847,plain,
( h2(e11) != e20
| h2(e11) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_4_257,refute_4_846]) ).
cnf(refute_4_848,plain,
h2(e11) != e20,
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e21)) )],[refute_4_847,refute_4_845]) ).
cnf(refute_4_849,plain,
( h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_4_841,refute_4_848]) ).
cnf(refute_4_850,plain,
( e23 != op2(e21,e23)
| h2(e11) != e23
| h2(e11) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_4_851,plain,
( e23 != op2(e21,e23)
| h2(e11) = e21
| h2(e11) = e22
| h2(e11) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_4_849,refute_4_850]) ).
cnf(refute_4_852,plain,
( e23 != op2(e21,e23)
| h2(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e23)) )],[refute_4_851,refute_4_830]) ).
cnf(refute_4_853,plain,
( e23 != e23
| op2(e21,e23) != e23
| e23 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_4_854,plain,
( e23 != e23
| e23 = op2(e21,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_4_799,refute_4_853]) ).
cnf(refute_4_855,plain,
( e23 != e23
| h2(e11) = e21
| h2(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e23)) )],[refute_4_854,refute_4_852]) ).
cnf(refute_4_856,plain,
( h2(e11) = e21
| h2(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_855]) ).
cnf(refute_4_857,plain,
( e21 != e21
| h2(e11) != e21
| e21 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h2(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_4_858,plain,
( e21 != e21
| e21 = h2(e11)
| h2(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_4_856,refute_4_857]) ).
cnf(refute_4_859,plain,
( e21 != e21
| h2(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_4_858,refute_4_826]) ).
cnf(refute_4_860,plain,
( h2(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_859]) ).
cnf(refute_4_861,plain,
( e22 != op2(e21,e22)
| h2(e11) != e22
| h2(e11) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_4_862,plain,
( e22 != op2(e21,e22)
| h2(e11) = op2(e21,e22)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_4_860,refute_4_861]) ).
cnf(refute_4_863,plain,
( e22 != op2(e21,e22)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e22)) )],[refute_4_862,refute_4_820]) ).
cnf(refute_4_864,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_4_137]) ).
cnf(refute_4_865,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_4_866,plain,
( op2(e22,e22) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_157,refute_4_865]) ).
cnf(refute_4_867,plain,
( h3(e11) = e22
| op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_4_864,refute_4_866]) ).
cnf(refute_4_868,plain,
( h3(e11) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_4_867,refute_4_289]) ).
cnf(refute_4_869,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_4_138]) ).
cnf(refute_4_870,plain,
( e21 = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_4_869,refute_4_788]) ).
cnf(refute_4_871,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_870,refute_4_710]) ).
cnf(refute_4_872,plain,
( op2(e23,e21) != e20
| op2(e23,e21) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e20)]]) ).
cnf(refute_4_873,plain,
( op2(e23,e21) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_4_257,refute_4_872]) ).
cnf(refute_4_874,plain,
( e20 = e23
| op2(e23,e20) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_4_871,refute_4_873]) ).
cnf(refute_4_875,plain,
( op2(e23,e20) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_874,refute_4_658]) ).
cnf(refute_4_876,plain,
( op2(e23,e22) != e22
| op2(e23,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_4_877,plain,
( op2(e23,e22) != e22
| e23 = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_4_875,refute_4_876]) ).
cnf(refute_4_878,plain,
( e23 = e22
| h3(e11) = e22
| op2(e21,e22) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_4_868,refute_4_877]) ).
cnf(refute_4_879,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_4_880,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_879,refute_4_616]) ).
cnf(refute_4_881,plain,
( h3(e11) = e22
| op2(e21,e22) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_4_878,refute_4_880]) ).
cnf(refute_4_882,plain,
( e23 != op2(e23,e22)
| op2(e23,e20) != e23
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_4_883,plain,
( e23 != op2(e23,e22)
| h3(e11) = e22
| op2(e21,e22) = e22
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_4_881,refute_4_882]) ).
cnf(refute_4_884,plain,
( e23 != op2(e23,e22)
| h3(e11) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_4_883,refute_4_570]) ).
cnf(refute_4_885,plain,
( op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e22)
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_4_590,refute_4_595]) ).
cnf(refute_4_886,plain,
( op2(e23,e20) != e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_4_885,refute_4_570]) ).
cnf(refute_4_887,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_4_139]) ).
cnf(refute_4_888,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_4_889,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_6,refute_4_888]) ).
cnf(refute_4_890,plain,
h1(e11) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_4_889,refute_4_887]) ).
cnf(refute_4_891,plain,
( h1(e11) != e23
| op2(e23,e20) != e23
| h1(e11) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_4_892,plain,
( h1(e11) != e23
| h1(e11) = op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_4_604,refute_4_891]) ).
cnf(refute_4_893,plain,
( h1(e11) != e23
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,e20)) )],[refute_4_892,refute_4_890]) ).
cnf(refute_4_894,plain,
( e23 != e23
| op2(e23,e20) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_821,refute_4_893]) ).
cnf(refute_4_895,plain,
( op2(e23,e20) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_894]) ).
cnf(refute_4_896,plain,
( e22 != e22
| op2(e23,e20) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_4_895,refute_4_605]) ).
cnf(refute_4_897,plain,
( e22 != e22
| op2(e23,e22) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_4_896,refute_4_886]) ).
cnf(refute_4_898,plain,
( op2(e23,e22) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_608,refute_4_897]) ).
cnf(refute_4_899,plain,
( e23 != e23
| e23 = op2(e23,e22)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_4_898,refute_4_591]) ).
cnf(refute_4_900,plain,
( e23 != e23
| h3(e11) = e22
| op2(e21,e22) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_4_899,refute_4_884]) ).
cnf(refute_4_901,plain,
( h3(e11) = e22
| op2(e21,e22) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_900]) ).
cnf(refute_4_902,plain,
( e22 != e22
| op2(e21,e22) != e22
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_4_903,plain,
( e22 != e22
| e22 = op2(e21,e22)
| h3(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_4_901,refute_4_902]) ).
cnf(refute_4_904,plain,
( e22 != e22
| h3(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_4_903,refute_4_863]) ).
cnf(refute_4_905,plain,
( h3(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_608,refute_4_904]) ).
cnf(refute_4_906,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_4_140]) ).
cnf(refute_4_907,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_4_908,plain,
( op2(e22,e22) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_157,refute_4_907]) ).
cnf(refute_4_909,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_4_906,refute_4_908]) ).
cnf(refute_4_910,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_4_909,refute_4_197]) ).
cnf(refute_4_911,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_4_141]) ).
cnf(refute_4_912,plain,
( e21 != op2(e22,e21)
| op2(e20,e21) != e21
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_4_913,plain,
( e21 != op2(e22,e21)
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_823,refute_4_912]) ).
cnf(refute_4_914,plain,
( e21 != op2(e22,e21)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_4_913,refute_4_911]) ).
cnf(refute_4_915,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_4_142]) ).
cnf(refute_4_916,plain,
( op2(e22,e21) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_4_917,plain,
( op2(e22,e21) != h3(e11)
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_157,refute_4_916]) ).
cnf(refute_4_918,plain,
op2(e22,e21) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_4_917,refute_4_915]) ).
cnf(refute_4_919,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(canonicalize,[],[normalize_4_143]) ).
cnf(refute_4_920,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_4_144]) ).
cnf(refute_4_921,plain,
( op2(e22,e21) != e20
| op2(e23,e21) != e20
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_4_922,plain,
( op2(e22,e21) != e20
| op2(e22,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_4_257,refute_4_921]) ).
cnf(refute_4_923,plain,
op2(e22,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_4_922,refute_4_920]) ).
cnf(refute_4_924,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_4_919,refute_4_923]) ).
cnf(refute_4_925,plain,
( e22 != h3(e11)
| op2(e22,e21) != e22
| op2(e22,e21) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[1],$fot(h3(e11))]]) ).
cnf(refute_4_926,plain,
( e22 != h3(e11)
| op2(e22,e21) = e21
| op2(e22,e21) = e23
| op2(e22,e21) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_4_924,refute_4_925]) ).
cnf(refute_4_927,plain,
( e22 != h3(e11)
| op2(e22,e21) = e21
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),h3(e11)) )],[refute_4_926,refute_4_918]) ).
cnf(refute_4_928,plain,
( e22 != e22
| h3(e11) != e22
| e22 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h3(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_4_929,plain,
( e22 != e22
| e22 = h3(e11)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_4_905,refute_4_928]) ).
cnf(refute_4_930,plain,
( e22 != e22
| op2(e22,e21) = e21
| op2(e22,e21) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,h3(e11)) )],[refute_4_929,refute_4_927]) ).
cnf(refute_4_931,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_608,refute_4_930]) ).
cnf(refute_4_932,plain,
( e21 != e21
| op2(e22,e21) != e21
| e21 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_4_933,plain,
( e21 != e21
| e21 = op2(e22,e21)
| op2(e22,e21) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_4_931,refute_4_932]) ).
cnf(refute_4_934,plain,
( e21 != e21
| op2(e22,e21) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_4_933,refute_4_914]) ).
cnf(refute_4_935,plain,
( op2(e22,e21) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_934]) ).
cnf(refute_4_936,plain,
( op2(e22,e21) != e21
| op2(e22,e21) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[0],$fot(e23)]]) ).
cnf(refute_4_937,plain,
( op2(e22,e21) != e21
| e23 = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_4_935,refute_4_936]) ).
cnf(refute_4_938,plain,
( e23 = e21
| h3(e11) = e21
| op2(e22,e20) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_4_910,refute_4_937]) ).
cnf(refute_4_939,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_4_940,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_939,refute_4_710]) ).
cnf(refute_4_941,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_4_938,refute_4_940]) ).
cnf(refute_4_942,plain,
( h1(e12) != op2(e22,e20)
| op2(e22,e20) != e21
| h1(e12) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e12),e21) ),[0],$fot(op2(e22,e20))]]) ).
cnf(refute_4_943,plain,
( h1(e12) != op2(e22,e20)
| h1(e12) = e21
| h3(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_4_941,refute_4_942]) ).
cnf(refute_4_944,plain,
( h1(e12) = e21
| h3(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e22,e20)) )],[refute_4_816,refute_4_943]) ).
cnf(refute_4_945,plain,
( h3(e11) != e21
| h3(e11) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[0],$fot(e21)]]) ).
cnf(refute_4_946,plain,
( h3(e11) != e22
| e21 = e22
| h1(e12) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_4_944,refute_4_945]) ).
cnf(refute_4_947,plain,
( e21 = e22
| h1(e12) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_4_905,refute_4_946]) ).
cnf(refute_4_948,plain,
( h1(e12) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_947,refute_4_708]) ).
cnf(refute_4_949,plain,
( h1(e12) != e21
| h1(e12) != op2(e22,e20)
| e21 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),op2(e22,e20)) ),[0],$fot(e21)]]) ).
cnf(refute_4_950,plain,
( h1(e12) != op2(e22,e20)
| e21 = op2(e22,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_4_948,refute_4_949]) ).
cnf(refute_4_951,plain,
( e21 = op2(e22,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e22,e20)) )],[refute_4_816,refute_4_950]) ).
cnf(refute_4_952,plain,
( e21 != op2(e22,e20)
| op2(e22,e20) = e21 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_4_953,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e20)) )],[refute_4_951,refute_4_952]) ).
cnf(refute_4_954,plain,
( op2(e22,e20) != e21
| op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(e21,op2(e22,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e20),op2(e22,e20)),e20) ),[0,0],$fot(e21)]]) ).
cnf(refute_4_955,plain,
( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(e21,op2(e22,e20)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_4_953,refute_4_954]) ).
cnf(refute_4_956,plain,
( op2(e21,op2(e22,e20)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),op2(e22,e20)),e20) )],[refute_4_768,refute_4_955]) ).
cnf(refute_4_957,plain,
( op2(e21,op2(e22,e20)) != e20
| op2(e22,e20) != e21
| op2(e21,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e20)),e20) ),[0,1],$fot(e21)]]) ).
cnf(refute_4_958,plain,
( op2(e21,op2(e22,e20)) != e20
| op2(e21,e21) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_4_953,refute_4_957]) ).
cnf(refute_4_959,plain,
( op2(e21,e21) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e20)),e20) )],[refute_4_956,refute_4_958]) ).
cnf(refute_4_960,plain,
( h2(e11) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_4_959,refute_4_833]) ).
cnf(refute_4_961,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_4_960,refute_4_848]) ).
cnf(refute_4_962,plain,
( op2(op2(e21,e23),op2(e21,e23)) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_4_961,refute_4_713]) ).
cnf(refute_4_963,plain,
( h3(e11) != e23
| op2(e22,e23) != e23
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_4_964,plain,
( h3(e11) != e23
| h3(e11) = op2(e22,e23)
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_4_791,refute_4_963]) ).
cnf(refute_4_965,plain,
( h3(e11) != e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_4_964,refute_4_189]) ).
cnf(refute_4_966,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_4_145]) ).
cnf(refute_4_967,plain,
( e22 = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_4_966,refute_4_242]) ).
cnf(refute_4_968,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e21)]]) ).
cnf(refute_4_969,plain,
( op2(e23,e23) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_126,refute_4_968]) ).
cnf(refute_4_970,plain,
( e21 = e20
| e22 = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_967,refute_4_969]) ).
cnf(refute_4_971,plain,
( e22 = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_4_970,refute_4_687]) ).
cnf(refute_4_972,plain,
( op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_4_971,refute_4_246]) ).
cnf(refute_4_973,plain,
( h3(e11) != e20
| op2(e22,e23) != e20
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_4_974,plain,
( h3(e11) != e20
| h3(e11) = op2(e22,e23)
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_4_972,refute_4_973]) ).
cnf(refute_4_975,plain,
( h3(e11) != e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_4_974,refute_4_189]) ).
cnf(refute_4_976,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e11
| h4(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e11)]]) ).
cnf(refute_4_977,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e11) = op2(e20,e22)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_4_518,refute_4_976]) ).
cnf(refute_4_978,plain,
( h4(e11) = op2(e20,e22)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_4_386,refute_4_977]) ).
cnf(refute_4_979,plain,
( h4(e11) != e21
| h4(e11) != op2(e20,e22)
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e20,e22)) ),[0],$fot(e21)]]) ).
cnf(refute_4_980,plain,
( h4(e11) != op2(e20,e22)
| e21 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_4_129,refute_4_979]) ).
cnf(refute_4_981,plain,
( e21 = op2(e20,e22)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e22)) )],[refute_4_978,refute_4_980]) ).
cnf(refute_4_982,plain,
( e21 != op2(e20,e22)
| op2(e20,e22) = e21 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_4_983,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_4_981,refute_4_982]) ).
cnf(refute_4_984,plain,
( e21 != h3(e11)
| op2(e20,e22) != e21
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(h3(e11))]]) ).
cnf(refute_4_985,plain,
( e21 != h3(e11)
| op2(e20,e22) = h3(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_983,refute_4_984]) ).
cnf(refute_4_986,plain,
( e21 != h3(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_4_985,refute_4_225]) ).
cnf(refute_4_987,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(canonicalize,[],[normalize_4_146]) ).
cnf(refute_4_988,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_4_989,plain,
( op2(e22,e22) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_157,refute_4_988]) ).
cnf(refute_4_990,plain,
( h3(e11) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_4_987,refute_4_989]) ).
cnf(refute_4_991,plain,
( h3(e11) = e20
| h3(e11) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_4_990,refute_4_908]) ).
cnf(refute_4_992,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_4_991,refute_4_866]) ).
cnf(refute_4_993,plain,
( op2(e22,e22) != e23
| op2(e22,e22) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_4_994,plain,
( op2(e22,e22) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_4_157,refute_4_993]) ).
cnf(refute_4_995,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_992,refute_4_994]) ).
cnf(refute_4_996,plain,
( h3(e11) != e22
| op2(e22,e21) != e22
| op2(e22,e21) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),h3(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_4_997,plain,
( op2(e22,e21) != e22
| h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e23
| op2(e22,e21) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_4_995,refute_4_996]) ).
cnf(refute_4_998,plain,
( op2(e22,e21) != e22
| h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),h3(e11)) )],[refute_4_997,refute_4_918]) ).
cnf(refute_4_999,plain,
op2(e21,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_4_147]) ).
cnf(refute_4_1000,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_4_1001,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_545,refute_4_1000]) ).
cnf(refute_4_1002,plain,
h2(e11) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_4_1001,refute_4_999]) ).
cnf(refute_4_1003,plain,
( op1(e10,e12) != e11
| op1(e11,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_4_1004,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_4_418,refute_4_1003]) ).
cnf(refute_4_1005,plain,
( op1(e10,e12) != e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_4_1004,refute_4_140]) ).
cnf(refute_4_1006,plain,
( e11 != e11
| op1(e10,e12) != e11
| op1(e10,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_4_1007,plain,
( e11 != e11
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_4_518,refute_4_1006]) ).
cnf(refute_4_1008,plain,
( e11 != e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_4_1007,refute_4_1005]) ).
cnf(refute_4_1009,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_4_422,refute_4_1008]) ).
cnf(refute_4_1010,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e11)]]) ).
cnf(refute_4_1011,plain,
( op1(e11,e11) != e12
| e11 = e12
| op1(e11,e10) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_4_1009,refute_4_1010]) ).
cnf(refute_4_1012,plain,
( e11 = e12
| op1(e11,e10) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_4_524,refute_4_1011]) ).
cnf(refute_4_1013,plain,
( e11 != e12
| e12 = e11 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e11)),bind(Y,$fot(e12))]]) ).
cnf(refute_4_1014,plain,
e11 != e12,
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_4_1013,refute_4_534]) ).
cnf(refute_4_1015,plain,
( op1(e11,e10) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_4_1012,refute_4_1014]) ).
cnf(refute_4_1016,plain,
( h4(e11) != op2(e21,e20)
| h4(op1(e11,e10)) = op2(e21,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_4_1015,refute_4_536]) ).
cnf(refute_4_1017,plain,
( h4(e11) != op2(e21,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) )],[refute_4_1016,refute_4_139]) ).
cnf(refute_4_1018,plain,
( e21 != op2(e21,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e20)) )],[refute_4_540,refute_4_1017]) ).
cnf(refute_4_1019,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_4_148]) ).
cnf(refute_4_1020,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(canonicalize,[],[normalize_4_149]) ).
cnf(refute_4_1021,plain,
( h2(e11) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_4_1020,refute_4_836]) ).
cnf(refute_4_1022,plain,
( h2(e11) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_4_1021,refute_4_357]) ).
cnf(refute_4_1023,plain,
( op2(e20,e22) != e21
| op2(e21,e22) != e21
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_4_1024,plain,
( op2(e20,e22) != e21
| h2(e11) = e21
| op2(e20,e22) = op2(e21,e22)
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_1022,refute_4_1023]) ).
cnf(refute_4_1025,plain,
( op2(e20,e22) != e21
| h2(e11) = e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_4_1024,refute_4_1019]) ).
cnf(refute_4_1026,plain,
( e21 != e21
| op2(e20,e22) != e21
| op2(e20,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(e21)]]) ).
cnf(refute_4_1027,plain,
( e21 != e21
| op2(e20,e22) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_983,refute_4_1026]) ).
cnf(refute_4_1028,plain,
( e21 != e21
| h2(e11) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_1027,refute_4_1025]) ).
cnf(refute_4_1029,plain,
( h2(e11) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_1028]) ).
cnf(refute_4_1030,plain,
( e21 != e21
| e21 = op2(e21,e20)
| h2(e11) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_4_1029,refute_4_633]) ).
cnf(refute_4_1031,plain,
( e21 != e21
| h2(e11) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_4_1030,refute_4_1018]) ).
cnf(refute_4_1032,plain,
( h2(e11) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_1031]) ).
cnf(refute_4_1033,plain,
( e21 != op2(e22,e21)
| h2(e11) != e21
| h2(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e21) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_4_1034,plain,
( e21 != op2(e22,e21)
| h2(e11) = op2(e22,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_4_1032,refute_4_1033]) ).
cnf(refute_4_1035,plain,
( e21 != op2(e22,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e21)) )],[refute_4_1034,refute_4_1002]) ).
cnf(refute_4_1036,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_4_150]) ).
cnf(refute_4_1037,plain,
( op1(e11,e11) != e13
| op1(e11,e13) != e13
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_4_1038,plain,
( op1(e11,e11) != e13
| op1(e11,e11) = op1(e11,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_4_492,refute_4_1037]) ).
cnf(refute_4_1039,plain,
( op1(e11,e11) != e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_4_1038,refute_4_1036]) ).
cnf(refute_4_1040,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_4_151]) ).
cnf(refute_4_1041,plain,
( op1(e12,e11) != e13
| op1(e12,e12) != e13
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_4_1042,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e12,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_442,refute_4_1041]) ).
cnf(refute_4_1043,plain,
( op1(e12,e11) != e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_4_1042,refute_4_1040]) ).
cnf(refute_4_1044,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_4_152]) ).
cnf(refute_4_1045,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).
cnf(refute_4_1046,plain,
( op1(e13,e11) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_4_88,refute_4_1045]) ).
cnf(refute_4_1047,plain,
( e10 = e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_4_1044,refute_4_1046]) ).
cnf(refute_4_1048,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_4_1047,refute_4_502]) ).
cnf(refute_4_1049,plain,
( e13 != e13
| op1(e12,e11) != e13
| op1(e12,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_4_1050,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_4_1048,refute_4_1049]) ).
cnf(refute_4_1051,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_4_1050,refute_4_1043]) ).
cnf(refute_4_1052,plain,
( e13 != e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_4_1051,refute_4_1039]) ).
cnf(refute_4_1053,plain,
( op1(e10,e11) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_4_408,refute_4_1052]) ).
cnf(refute_4_1054,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op1(e10,e11) != e13
| h4(e13) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0,0],$fot(e13)]]) ).
cnf(refute_4_1055,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(e13) = op2(e20,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_4_1053,refute_4_1054]) ).
cnf(refute_4_1056,plain,
( h4(e13) = op2(e20,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_4_335,refute_4_1055]) ).
cnf(refute_4_1057,plain,
( h4(e13) != e23
| h4(e13) != op2(e20,e21)
| e23 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e20,e21)) ),[0],$fot(e23)]]) ).
cnf(refute_4_1058,plain,
( h4(e13) != op2(e20,e21)
| e23 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_4_51,refute_4_1057]) ).
cnf(refute_4_1059,plain,
( e23 = op2(e20,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e21)) )],[refute_4_1056,refute_4_1058]) ).
cnf(refute_4_1060,plain,
( e23 != op2(e20,e21)
| op2(e20,e21) = e23 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_4_1061,plain,
( op2(e20,e21) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_4_1059,refute_4_1060]) ).
cnf(refute_4_1062,plain,
( e23 != op2(e22,e21)
| op2(e20,e21) != e23
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_4_1063,plain,
( e23 != op2(e22,e21)
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_1061,refute_4_1062]) ).
cnf(refute_4_1064,plain,
( e23 != op2(e22,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_4_1063,refute_4_911]) ).
cnf(refute_4_1065,plain,
( e23 != e23
| op2(e22,e21) != e23
| e23 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_4_1066,plain,
( e23 != e23
| e23 = op2(e22,e21)
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_4_924,refute_4_1065]) ).
cnf(refute_4_1067,plain,
( e23 != e23
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e21)) )],[refute_4_1066,refute_4_1064]) ).
cnf(refute_4_1068,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1067]) ).
cnf(refute_4_1069,plain,
( e21 != e21
| e21 = op2(e22,e21)
| op2(e22,e21) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_4_1068,refute_4_932]) ).
cnf(refute_4_1070,plain,
( e21 != e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_4_1069,refute_4_1035]) ).
cnf(refute_4_1071,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_1070]) ).
cnf(refute_4_1072,plain,
( e22 != e22
| op2(e22,e21) != e22
| op2(e22,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[0,0],$fot(e22)]]) ).
cnf(refute_4_1073,plain,
( e22 != e22
| op2(e22,e21) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_4_1071,refute_4_1072]) ).
cnf(refute_4_1074,plain,
( e22 != e22
| h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_4_1073,refute_4_998]) ).
cnf(refute_4_1075,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_608,refute_4_1074]) ).
cnf(refute_4_1076,plain,
( e21 != e21
| h3(e11) != e21
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_4_1077,plain,
( e21 != e21
| e21 = h3(e11)
| h3(e11) = e20
| h3(e11) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_4_1075,refute_4_1076]) ).
cnf(refute_4_1078,plain,
( e21 != e21
| h3(e11) = e20
| h3(e11) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_4_1077,refute_4_986]) ).
cnf(refute_4_1079,plain,
( h3(e11) = e20
| h3(e11) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_1078]) ).
cnf(refute_4_1080,plain,
( e20 != e20
| h3(e11) != e20
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e20) ),[1],$fot(e20)]]) ).
cnf(refute_4_1081,plain,
( e20 != e20
| h3(e11) = e20
| h3(e11) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_4_1079,refute_4_1080]) ).
cnf(refute_4_1082,plain,
( e20 != e20
| h3(e11) = e23
| op2(e21,e23) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_4_1081,refute_4_975]) ).
cnf(refute_4_1083,plain,
( h3(e11) = e23
| op2(e21,e23) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_294,refute_4_1082]) ).
cnf(refute_4_1084,plain,
( op2(e21,e23) != e20
| op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(e20,op2(e21,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) ),[0,0],$fot(e20)]]) ).
cnf(refute_4_1085,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e23
| h3(e11) = e23
| op2(e20,op2(e21,e23)) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_4_1083,refute_4_1084]) ).
cnf(refute_4_1086,plain,
( h3(e11) = e23
| op2(e20,op2(e21,e23)) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) )],[refute_4_962,refute_4_1085]) ).
cnf(refute_4_1087,plain,
( op2(e20,op2(e21,e23)) != e23
| op2(e21,e23) != e20
| op2(e20,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e23)),e23) ),[0,1],$fot(e20)]]) ).
cnf(refute_4_1088,plain,
( op2(e20,op2(e21,e23)) != e23
| h3(e11) = e23
| op2(e20,e20) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_4_1083,refute_4_1087]) ).
cnf(refute_4_1089,plain,
( h3(e11) = e23
| op2(e20,e20) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),e23) )],[refute_4_1086,refute_4_1088]) ).
cnf(refute_4_1090,plain,
( h1(e11) = e23
| h3(e11) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_4_1089,refute_4_649]) ).
cnf(refute_4_1091,plain,
( h1(e11) != e21
| h1(e11) = op2(e20,e21)
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_312,refute_4_680]) ).
cnf(refute_4_1092,plain,
( h1(e11) != e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_4_1091,refute_4_643]) ).
cnf(refute_4_1093,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_4_153]) ).
cnf(refute_4_1094,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e12)]]) ).
cnf(refute_4_1095,plain,
( op1(e10,e13) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_4_68,refute_4_1094]) ).
cnf(refute_4_1096,plain,
( e12 = e13
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_4_1093,refute_4_1095]) ).
cnf(refute_4_1097,plain,
e12 != e13,
inference(canonicalize,[],[normalize_4_154]) ).
cnf(refute_4_1098,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_4_1096,refute_4_1097]) ).
cnf(refute_4_1099,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e13
| h4(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e13)]]) ).
cnf(refute_4_1100,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e13) = op2(e20,e22)
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_4_1098,refute_4_1099]) ).
cnf(refute_4_1101,plain,
( h4(e13) = op2(e20,e22)
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_4_386,refute_4_1100]) ).
cnf(refute_4_1102,plain,
( h4(e13) != e23
| h4(e13) != op2(e20,e22)
| e23 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e20,e22)) ),[0],$fot(e23)]]) ).
cnf(refute_4_1103,plain,
( h4(e13) != op2(e20,e22)
| e23 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_4_51,refute_4_1102]) ).
cnf(refute_4_1104,plain,
( e23 = op2(e20,e22)
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e22)) )],[refute_4_1101,refute_4_1103]) ).
cnf(refute_4_1105,plain,
( e23 != op2(e20,e22)
| op2(e20,e22) = e23 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_4_1106,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e22)) )],[refute_4_1104,refute_4_1105]) ).
cnf(refute_4_1107,plain,
( op2(e20,e22) != e20
| e23 = e20
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_4_1106,refute_4_655]) ).
cnf(refute_4_1108,plain,
( e23 = e20
| h1(e11) = e20
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_261,refute_4_1107]) ).
cnf(refute_4_1109,plain,
( h1(e11) = e20
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_4_1108,refute_4_660]) ).
cnf(refute_4_1110,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h1(e11) = e20
| h4(e13) = op2(e20,e21)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_4_1109,refute_4_1054]) ).
cnf(refute_4_1111,plain,
( h1(e11) = e20
| h4(e13) = op2(e20,e21)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_4_335,refute_4_1110]) ).
cnf(refute_4_1112,plain,
( e23 = op2(e20,e21)
| h1(e11) = e20
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e21)) )],[refute_4_1111,refute_4_1058]) ).
cnf(refute_4_1113,plain,
( h1(e11) = e20
| op1(e10,e10) = e13
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_4_1112,refute_4_1060]) ).
cnf(refute_4_1114,plain,
( h1(e11) != e23
| h1(e11) = e20
| h1(e11) = op2(e20,e21)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_1113,refute_4_644]) ).
cnf(refute_4_1115,plain,
( h1(e11) != e23
| h1(e11) = e20
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_4_1114,refute_4_643]) ).
cnf(refute_4_1116,plain,
( h1(e11) != e20
| h1(e11) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[0],$fot(e23)]]) ).
cnf(refute_4_1117,plain,
( h1(e11) != e23
| e23 = e20
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_1115,refute_4_1116]) ).
cnf(refute_4_1118,plain,
( h1(e11) != e23
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_4_1117,refute_4_660]) ).
cnf(refute_4_1119,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = e23
| h1(e10) = op2(e20,e20)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_675,refute_4_112]) ).
cnf(refute_4_1120,plain,
( h1(e10) = e23
| h1(e10) = op2(e20,e20)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_4_13,refute_4_1119]) ).
cnf(refute_4_1121,plain,
( h1(e10) = e23
| h1(e10) = h1(e11)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e20)) )],[refute_4_1120,refute_4_116]) ).
cnf(refute_4_1122,plain,
( e23 != e23
| h1(e10) = e23
| h1(e10) = h1(e11)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1121,refute_4_676]) ).
cnf(refute_4_1123,plain,
( e23 != e23
| h1(e10) = e23
| h1(e10) = h1(e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1122,refute_4_1118]) ).
cnf(refute_4_1124,plain,
( h1(e10) = e23
| h1(e10) = h1(e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1123]) ).
cnf(refute_4_1125,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e10) = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_4_92,refute_4_393]) ).
cnf(refute_4_1126,plain,
( h4(e10) = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_4_386,refute_4_1125]) ).
cnf(refute_4_1127,plain,
( e20 = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e22)) )],[refute_4_1126,refute_4_397]) ).
cnf(refute_4_1128,plain,
( op1(e10,e10) = e10
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_4_1127,refute_4_399]) ).
cnf(refute_4_1129,plain,
( h1(e11) != e20
| op2(e20,e22) != e20
| h1(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_4_1130,plain,
( h1(e11) != e20
| h1(e11) = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_1128,refute_4_1129]) ).
cnf(refute_4_1131,plain,
( h1(e11) != e20
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_4_1130,refute_4_232]) ).
cnf(refute_4_1132,plain,
( e21 != e21
| h1(e10) = e22
| h1(e11) = e20
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_694,refute_4_764]) ).
cnf(refute_4_1133,plain,
( e21 != e21
| h1(e10) = e22
| h1(e11) = e20
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_1132,refute_4_1092]) ).
cnf(refute_4_1134,plain,
( h1(e10) = e22
| h1(e11) = e20
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_1133]) ).
cnf(refute_4_1135,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = e22
| h1(e10) = op2(e20,e21)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_694,refute_4_668]) ).
cnf(refute_4_1136,plain,
( h1(e10) = e22
| h1(e10) = op2(e20,e21)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_4_13,refute_4_1135]) ).
cnf(refute_4_1137,plain,
( h1(e10) = e22
| h1(e11) = e20
| op2(e20,e21) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e21)) )],[refute_4_1136,refute_4_671]) ).
cnf(refute_4_1138,plain,
( op2(e20,e21) != e23
| h1(e10) = e22
| h1(e10) = e23
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e10)) )],[refute_4_1137,refute_4_673]) ).
cnf(refute_4_1139,plain,
( h1(e10) = e22
| h1(e10) = e23
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_1134,refute_4_1138]) ).
cnf(refute_4_1140,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = e22
| h1(e10) = e23
| h1(e10) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_1139,refute_4_112]) ).
cnf(refute_4_1141,plain,
( h1(e10) = e22
| h1(e10) = e23
| h1(e10) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_4_13,refute_4_1140]) ).
cnf(refute_4_1142,plain,
( h1(e10) = e22
| h1(e10) = e23
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e20)) )],[refute_4_1141,refute_4_116]) ).
cnf(refute_4_1143,plain,
( h1(e10) = e22
| h1(e10) = e23
| h1(e11) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e11)) )],[refute_4_1142,refute_4_698]) ).
cnf(refute_4_1144,plain,
( h1(e10) != e20
| h1(e11) != h1(e10)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),h1(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_4_1145,plain,
( h1(e10) != e20
| h1(e10) = e22
| h1(e10) = e23
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_4_1143,refute_4_1144]) ).
cnf(refute_4_1146,plain,
( h1(e10) != e20
| h1(e10) = e22
| h1(e10) = e23
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_1145,refute_4_1131]) ).
cnf(refute_4_1147,plain,
( h1(e10) != e20
| h1(e10) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e22) ),[0],$fot(e20)]]) ).
cnf(refute_4_1148,plain,
( h1(e10) != e20
| e20 = e22
| h1(e10) = e23
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_4_1146,refute_4_1147]) ).
cnf(refute_4_1149,plain,
( h1(e10) != e20
| h1(e10) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e23) ),[0],$fot(e20)]]) ).
cnf(refute_4_1150,plain,
( h1(e10) != e20
| e20 = e22
| e20 = e23
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_4_1148,refute_4_1149]) ).
cnf(refute_4_1151,plain,
( h1(e10) != e20
| e20 = e23
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_4_1150,refute_4_244]) ).
cnf(refute_4_1152,plain,
( h1(e10) != e20
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_1151,refute_4_658]) ).
cnf(refute_4_1153,plain,
( h1(e10) != e22
| ~ definitionFOFtoCNF_31 ),
inference(canonicalize,[],[normalize_4_157]) ).
cnf(refute_4_1154,plain,
( h1(e11) != e23
| h1(e10) = e22
| h1(e11) = e20
| h1(e11) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_1134,refute_4_644]) ).
cnf(refute_4_1155,plain,
( h1(e11) != e23
| h1(e10) = e22
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_4_1154,refute_4_643]) ).
cnf(refute_4_1156,plain,
( h1(e11) != e23
| e23 = e20
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_1155,refute_4_1116]) ).
cnf(refute_4_1157,plain,
( h1(e11) != e23
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_4_1156,refute_4_660]) ).
cnf(refute_4_1158,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = op2(e20,e20)
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_667,refute_4_112]) ).
cnf(refute_4_1159,plain,
( h1(e10) = op2(e20,e20)
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_4_13,refute_4_1158]) ).
cnf(refute_4_1160,plain,
( h1(e10) = h1(e11)
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e20)) )],[refute_4_1159,refute_4_116]) ).
cnf(refute_4_1161,plain,
( h1(e11) = e21
| h1(e11) = e23
| h1(e11) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e11)) )],[refute_4_1160,refute_4_698]) ).
cnf(refute_4_1162,plain,
( h1(e11) != e20
| h1(e11) != h1(e10)
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_4_1163,plain,
( h1(e11) != e20
| h1(e10) = e20
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_4_1161,refute_4_1162]) ).
cnf(refute_4_1164,plain,
( h1(e10) = e20
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_667,refute_4_1163]) ).
cnf(refute_4_1165,plain,
( e23 != e23
| h1(e10) = e20
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1164,refute_4_676]) ).
cnf(refute_4_1166,plain,
( e23 != e23
| h1(e10) = e20
| h1(e10) = e22
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1165,refute_4_1157]) ).
cnf(refute_4_1167,plain,
( h1(e10) = e20
| h1(e10) = e22
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1166]) ).
cnf(refute_4_1168,plain,
( h1(e11) != e20
| e21 = e20
| h1(e10) = e20
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_1167,refute_4_683]) ).
cnf(refute_4_1169,plain,
( e21 = e20
| h1(e10) = e20
| h1(e10) = e22
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_1139,refute_4_1168]) ).
cnf(refute_4_1170,plain,
( h1(e10) = e20
| h1(e10) = e22
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_4_1169,refute_4_687]) ).
cnf(refute_4_1171,plain,
( e22 != e22
| h1(e10) != e22
| h1(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e22) ),[1],$fot(e22)]]) ).
cnf(refute_4_1172,plain,
( e22 != e22
| h1(e10) = e20
| h1(e10) = e22
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_4_1170,refute_4_1171]) ).
cnf(refute_4_1173,plain,
( e22 != e22
| ~ definitionFOFtoCNF_31
| h1(e10) = e20
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_4_1172,refute_4_1153]) ).
cnf(refute_4_1174,plain,
( ~ definitionFOFtoCNF_31
| h1(e10) = e20
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_608,refute_4_1173]) ).
cnf(refute_4_1175,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = op2(e20,e20)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_281,refute_4_112]) ).
cnf(refute_4_1176,plain,
( h1(e10) = op2(e20,e20)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_4_13,refute_4_1175]) ).
cnf(refute_4_1177,plain,
( h1(e10) = h1(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e20)) )],[refute_4_1176,refute_4_116]) ).
cnf(refute_4_1178,plain,
( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22
| definitionFOFtoCNF_31 ),
inference(canonicalize,[],[normalize_4_158]) ).
cnf(refute_4_1179,plain,
h1(e13) = e20,
inference(canonicalize,[],[normalize_4_7]) ).
cnf(refute_4_1180,plain,
( h1(e13) != e20
| h1(e13) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[0],$fot(e20)]]) ).
cnf(refute_4_1181,plain,
( h1(e13) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_4_1179,refute_4_1180]) ).
cnf(refute_4_1182,plain,
( e20 = e22
| h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_4_1178,refute_4_1181]) ).
cnf(refute_4_1183,plain,
( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_4_1182,refute_4_244]) ).
cnf(refute_4_1184,plain,
( h1(e10) = e22
| h1(e12) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_4_1183,refute_4_280]) ).
cnf(refute_4_1185,plain,
( op2(op2(e20,e20),op2(e20,e20)) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_4_159]) ).
cnf(refute_4_1186,plain,
op2(h1(e11),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e11),op2(e20,e20)))]]) ).
cnf(refute_4_1187,plain,
( op2(e20,e20) != h1(e11)
| op2(h1(e11),op2(e20,e20)) != op2(h1(e11),op2(e20,e20))
| op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_4_1188,plain,
( op2(e20,e20) != h1(e11)
| op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) )],[refute_4_1186,refute_4_1187]) ).
cnf(refute_4_1189,plain,
op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_6,refute_4_1188]) ).
cnf(refute_4_1190,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_4_1191,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_4_1192,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_4_1190,refute_4_1191]) ).
cnf(refute_4_1193,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_6,refute_4_1192]) ).
cnf(refute_4_1194,plain,
( op2(h1(e11),op2(e20,e20)) != op2(h1(e11),h1(e11))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e11),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e11),op2(e20,e20)))),bind(Z,$fot(op2(h1(e11),h1(e11))))]]) ).
cnf(refute_4_1195,plain,
( op2(h1(e11),op2(e20,e20)) != op2(h1(e11),h1(e11))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) )],[refute_4_1193,refute_4_1194]) ).
cnf(refute_4_1196,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),h1(e11))) )],[refute_4_1189,refute_4_1195]) ).
cnf(refute_4_1197,plain,
( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e11),h1(e11))
| op2(h1(e11),h1(e11)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),e20) ),[0],$fot(op2(h1(e11),h1(e11)))]]) ).
cnf(refute_4_1198,plain,
( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(h1(e11),h1(e11)) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e11),h1(e11))) )],[refute_4_1196,refute_4_1197]) ).
cnf(refute_4_1199,plain,
( op2(h1(e11),h1(e11)) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),e20) )],[refute_4_1185,refute_4_1198]) ).
cnf(refute_4_1200,plain,
( h1(e11) != e20
| op2(h1(e11),h1(e11)) != e20
| op2(e20,h1(e11)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),h1(e11)),e20) ),[0,0],$fot(e20)]]) ).
cnf(refute_4_1201,plain,
( op2(h1(e11),h1(e11)) != e20
| op2(e20,h1(e11)) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_281,refute_4_1200]) ).
cnf(refute_4_1202,plain,
( op2(e20,h1(e11)) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(h1(e11),h1(e11)),e20) )],[refute_4_1199,refute_4_1201]) ).
cnf(refute_4_1203,plain,
( h1(e10) != op2(e20,h1(e11))
| op2(e20,h1(e11)) = h1(e10) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e20,h1(e11))))]]) ).
cnf(refute_4_1204,plain,
op2(e20,h1(e11)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_4_13,refute_4_1203]) ).
cnf(refute_4_1205,plain,
( op2(e20,h1(e11)) != e20
| op2(e20,h1(e11)) != h1(e10)
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e11)),e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_4_1206,plain,
( op2(e20,h1(e11)) != e20
| h1(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),h1(e10)) )],[refute_4_1204,refute_4_1205]) ).
cnf(refute_4_1207,plain,
( h1(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),e20) )],[refute_4_1202,refute_4_1206]) ).
cnf(refute_4_1208,plain,
( h1(e10) != e20
| h1(e12) != op2(h1(e10),e20)
| h1(e12) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),op2(h1(e10),e20)) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_1209,plain,
( h1(e12) != op2(h1(e10),e20)
| h1(e12) = op2(e20,e20)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_4_1207,refute_4_1208]) ).
cnf(refute_4_1210,plain,
( h1(e12) = op2(e20,e20)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(h1(e10),e20)) )],[refute_4_778,refute_4_1209]) ).
cnf(refute_4_1211,plain,
( h1(e12) != op2(e20,e20)
| op2(e20,e20) != h1(e11)
| h1(e12) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e12),h1(e11)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_4_1212,plain,
( h1(e12) != op2(e20,e20)
| h1(e12) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_4_6,refute_4_1211]) ).
cnf(refute_4_1213,plain,
( h1(e12) = h1(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,e20)) )],[refute_4_1210,refute_4_1212]) ).
cnf(refute_4_1214,plain,
( h1(e12) != e22
| h1(e12) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_4_1215,plain,
( h1(e12) != e22
| h1(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e12),h1(e11)) )],[refute_4_1213,refute_4_1214]) ).
cnf(refute_4_1216,plain,
( h1(e10) = e22
| h1(e11) = e22
| definitionFOFtoCNF_31
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e12),e22) )],[refute_4_1184,refute_4_1215]) ).
cnf(refute_4_1217,plain,
( h1(e10) = e22
| definitionFOFtoCNF_31
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_4_1216,refute_4_280]) ).
cnf(refute_4_1218,plain,
( h1(e10) != e22
| h1(e10) != h1(e11)
| e22 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),h1(e11)) ),[0],$fot(e22)]]) ).
cnf(refute_4_1219,plain,
( h1(e10) != h1(e11)
| e22 = h1(e11)
| definitionFOFtoCNF_31
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_4_1217,refute_4_1218]) ).
cnf(refute_4_1220,plain,
( e22 = h1(e11)
| definitionFOFtoCNF_31
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e11)) )],[refute_4_1177,refute_4_1219]) ).
cnf(refute_4_1221,plain,
( e22 != h1(e11)
| h1(e11) = e22 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e22)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_4_1222,plain,
e22 != h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_4_1221,refute_4_280]) ).
cnf(refute_4_1223,plain,
( definitionFOFtoCNF_31
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,h1(e11)) )],[refute_4_1220,refute_4_1222]) ).
cnf(refute_4_1224,plain,
( ~ definitionFOFtoCNF_3
| op2(op2(e21,e23),op2(e21,e23)) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_4_1223,refute_4_53]) ).
cnf(refute_4_1225,plain,
( op2(op2(e21,e23),op2(e21,e23)) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_4_961,refute_4_1224]) ).
cnf(refute_4_1226,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_4_160]) ).
cnf(refute_4_1227,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_4_1226,refute_4_357]) ).
cnf(refute_4_1228,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_4_161]) ).
cnf(refute_4_1229,plain,
( e22 != op2(e21,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_4_1230,plain,
( e22 != op2(e21,e23)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_26,refute_4_1229]) ).
cnf(refute_4_1231,plain,
e22 != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_4_1230,refute_4_1228]) ).
cnf(refute_4_1232,plain,
( op2(e21,e23) != e22
| e22 = op2(e21,e23) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_4_1233,plain,
op2(e21,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_4_1232,refute_4_1231]) ).
cnf(refute_4_1234,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_4_1227,refute_4_1233]) ).
cnf(refute_4_1235,plain,
( op2(e21,e23) != e23
| op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(op2(e21,e23),e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_4_1236,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(e21,e23) = e20
| op2(op2(e21,e23),e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_4_1234,refute_4_1235]) ).
cnf(refute_4_1237,plain,
( op2(e21,e23) = e20
| op2(op2(e21,e23),e23) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) )],[refute_4_1225,refute_4_1236]) ).
cnf(refute_4_1238,plain,
( op2(e21,e23) != e23
| op2(op2(e21,e23),e23) != e23
| op2(e23,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e23),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_4_1239,plain,
( op2(op2(e21,e23),e23) != e23
| op2(e21,e23) = e20
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_4_1234,refute_4_1238]) ).
cnf(refute_4_1240,plain,
( op2(e21,e23) = e20
| op2(e23,e23) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),e23) )],[refute_4_1237,refute_4_1239]) ).
cnf(refute_4_1241,plain,
( e21 = e23
| op2(e21,e23) = e20
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_4_1240,refute_4_788]) ).
cnf(refute_4_1242,plain,
( op2(e21,e23) = e20
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_1241,refute_4_710]) ).
cnf(refute_4_1243,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(e20,op2(e21,e23)) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_4_1242,refute_4_1084]) ).
cnf(refute_4_1244,plain,
( op2(e20,op2(e21,e23)) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) )],[refute_4_1225,refute_4_1243]) ).
cnf(refute_4_1245,plain,
( op2(e20,op2(e21,e23)) != e23
| op2(e20,e20) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_4_1242,refute_4_1087]) ).
cnf(refute_4_1246,plain,
( op2(e20,e20) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),e23) )],[refute_4_1244,refute_4_1245]) ).
cnf(refute_4_1247,plain,
( h1(e11) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_4_1246,refute_4_649]) ).
cnf(refute_4_1248,plain,
( e23 != op2(e20,e21)
| h1(e11) != e23
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_4_1249,plain,
( e23 != op2(e20,e21)
| h1(e11) = op2(e20,e21)
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1247,refute_4_1248]) ).
cnf(refute_4_1250,plain,
( e23 != op2(e20,e21)
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_4_1249,refute_4_643]) ).
cnf(refute_4_1251,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e11) != h1(e10)
| h1(e10) = op2(e20,h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) ),[1,1],$fot(h1(e10))]]) ).
cnf(refute_4_1252,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = e22
| h1(e10) = op2(e20,h1(e10))
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_4_699,refute_4_1251]) ).
cnf(refute_4_1253,plain,
( h1(e10) = e22
| h1(e10) = op2(e20,h1(e10))
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_4_13,refute_4_1252]) ).
cnf(refute_4_1254,plain,
( h1(e12) != op2(h1(e10),e20)
| h1(e10) = e22
| h1(e10) = e23
| h1(e12) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_4_1170,refute_4_1208]) ).
cnf(refute_4_1255,plain,
( h1(e10) = e22
| h1(e10) = e23
| h1(e12) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e12),op2(h1(e10),e20)) )],[refute_4_778,refute_4_1254]) ).
cnf(refute_4_1256,plain,
( h1(e10) = e22
| h1(e10) = e23
| h1(e12) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,e20)) )],[refute_4_1255,refute_4_1212]) ).
cnf(refute_4_1257,plain,
( h1(e12) != e22
| h1(e10) = e22
| h1(e10) = e23
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(h1(e12),h1(e11)) )],[refute_4_1256,refute_4_1214]) ).
cnf(refute_4_1258,plain,
( h1(e10) = e22
| h1(e10) = e23
| h1(e11) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e12),e22) )],[refute_4_1184,refute_4_1257]) ).
cnf(refute_4_1259,plain,
( h1(e10) = e22
| h1(e10) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_4_1258,refute_4_280]) ).
cnf(refute_4_1260,plain,
( h1(e10) != e23
| h1(e10) != op2(e20,h1(e10))
| h1(e10) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e20,h1(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_1261,plain,
( h1(e10) != op2(e20,h1(e10))
| h1(e10) = e22
| h1(e10) = op2(e20,e23)
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_4_1259,refute_4_1260]) ).
cnf(refute_4_1262,plain,
( h1(e10) = e22
| h1(e10) = op2(e20,e23)
| h1(e11) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e10))) )],[refute_4_1253,refute_4_1261]) ).
cnf(refute_4_1263,plain,
( h1(e10) = e22
| h1(e11) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e23)) )],[refute_4_1262,refute_4_693]) ).
cnf(refute_4_1264,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = e22
| h1(e10) = op2(e20,e21)
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_1263,refute_4_668]) ).
cnf(refute_4_1265,plain,
( h1(e10) = e22
| h1(e10) = op2(e20,e21)
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_4_13,refute_4_1264]) ).
cnf(refute_4_1266,plain,
( h1(e10) = e22
| op2(e20,e21) = h1(e10)
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e21)) )],[refute_4_1265,refute_4_671]) ).
cnf(refute_4_1267,plain,
( e23 != h1(e10)
| op2(e20,e21) != h1(e10)
| e23 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e20,e21)) ),[1],$fot(h1(e10))]]) ).
cnf(refute_4_1268,plain,
( e23 != h1(e10)
| e23 = op2(e20,e21)
| h1(e10) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e10)) )],[refute_4_1266,refute_4_1267]) ).
cnf(refute_4_1269,plain,
( e23 != h1(e10)
| h1(e10) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_4_1268,refute_4_1250]) ).
cnf(refute_4_1270,plain,
( e23 != e23
| e23 != h1(e10)
| h1(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(e23,e23) ),[0],$fot(h1(e10))]]) ).
cnf(refute_4_1271,plain,
( e23 != h1(e10)
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1270]) ).
cnf(refute_4_1272,plain,
( h1(e10) != e22
| h1(e10) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e22) ),[0],$fot(e23)]]) ).
cnf(refute_4_1273,plain,
( e23 != h1(e10)
| h1(e10) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_4_1271,refute_4_1272]) ).
cnf(refute_4_1274,plain,
( e23 != h1(e10)
| e23 = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_4_1269,refute_4_1273]) ).
cnf(refute_4_1275,plain,
( e23 != h1(e10)
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_4_1274,refute_4_880]) ).
cnf(refute_4_1276,plain,
( h1(e11) != e23
| op2(e20,e22) != e23
| h1(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_4_1277,plain,
( h1(e11) != e23
| h1(e11) = op2(e20,e22)
| op2(e20,e22) = e20
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_4_290,refute_4_1276]) ).
cnf(refute_4_1278,plain,
( h1(e11) != e23
| op2(e20,e22) = e20
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_4_1277,refute_4_232]) ).
cnf(refute_4_1279,plain,
( h1(e10) = e23
| h1(e11) = e23
| h1(e11) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e11)) )],[refute_4_1121,refute_4_698]) ).
cnf(refute_4_1280,plain,
( h1(e10) != e22
| h1(e11) != h1(e10)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),h1(e10)) ),[1],$fot(e22)]]) ).
cnf(refute_4_1281,plain,
( h1(e10) != e22
| h1(e10) = e23
| h1(e11) = e22
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_4_1279,refute_4_1280]) ).
cnf(refute_4_1282,plain,
( h1(e10) != e22
| h1(e10) = e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_4_1281,refute_4_280]) ).
cnf(refute_4_1283,plain,
( h1(e10) != e22
| h1(e10) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e23) ),[0],$fot(e22)]]) ).
cnf(refute_4_1284,plain,
( h1(e10) != e22
| e22 = e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_4_1282,refute_4_1283]) ).
cnf(refute_4_1285,plain,
( h1(e10) != e22
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_1284,refute_4_616]) ).
cnf(refute_4_1286,plain,
( e22 != e22
| h1(e10) = e22
| h1(e10) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_4_1259,refute_4_1171]) ).
cnf(refute_4_1287,plain,
( e22 != e22
| h1(e10) = e23
| h1(e11) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_4_1286,refute_4_1285]) ).
cnf(refute_4_1288,plain,
( h1(e10) = e23
| h1(e11) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_608,refute_4_1287]) ).
cnf(refute_4_1289,plain,
( e23 != e23
| h1(e10) = e23
| h1(e11) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1288,refute_4_676]) ).
cnf(refute_4_1290,plain,
( e23 != e23
| h1(e10) = e23
| op2(e20,e22) = e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1289,refute_4_1278]) ).
cnf(refute_4_1291,plain,
( h1(e10) = e23
| op2(e20,e22) = e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1290]) ).
cnf(refute_4_1292,plain,
( op2(e20,e21) != e21
| op2(e20,e22) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_4_1293,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22)
| op2(e20,e22) = e20
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_290,refute_4_1292]) ).
cnf(refute_4_1294,plain,
( op2(e20,e21) != e21
| op2(e20,e22) = e20
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_4_1293,refute_4_143]) ).
cnf(refute_4_1295,plain,
( e23 != e23
| h1(e10) = e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1289,refute_4_646]) ).
cnf(refute_4_1296,plain,
( h1(e10) = e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1295]) ).
cnf(refute_4_1297,plain,
( e21 != e21
| h1(e10) = e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_1296,refute_4_313]) ).
cnf(refute_4_1298,plain,
( e21 != e21
| h1(e10) = e23
| op2(e20,e22) = e20
| op2(e20,e22) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_1297,refute_4_1294]) ).
cnf(refute_4_1299,plain,
( h1(e10) = e23
| op2(e20,e22) = e20
| op2(e20,e22) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_1298]) ).
cnf(refute_4_1300,plain,
( op2(e20,e22) != e21
| op2(e20,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_4_1301,plain,
( op2(e20,e22) != e21
| e23 = e21
| h1(e10) = e23
| op2(e20,e22) = e20
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_4_1299,refute_4_1300]) ).
cnf(refute_4_1302,plain,
( e23 = e21
| h1(e10) = e23
| op2(e20,e22) = e20
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_1291,refute_4_1301]) ).
cnf(refute_4_1303,plain,
( h1(e10) = e23
| op2(e20,e22) = e20
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_4_1302,refute_4_940]) ).
cnf(refute_4_1304,plain,
( e20 != h3(e11)
| op2(e20,e22) != e20
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[1],$fot(h3(e11))]]) ).
cnf(refute_4_1305,plain,
( e20 != h3(e11)
| h1(e10) = e23
| op2(e20,e22) = h3(e11)
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_1303,refute_4_1304]) ).
cnf(refute_4_1306,plain,
( e20 != h3(e11)
| h1(e10) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_4_1305,refute_4_225]) ).
cnf(refute_4_1307,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(canonicalize,[],[normalize_4_162]) ).
cnf(refute_4_1308,plain,
( h3(e11) = e20
| op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_4_1307,refute_4_989]) ).
cnf(refute_4_1309,plain,
( h3(e11) = e20
| op2(e22,e20) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_4_1308,refute_4_923]) ).
cnf(refute_4_1310,plain,
( op2(e21,e23) != e20
| op2(e22,e23) != e20
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_4_1311,plain,
( op2(e21,e23) != e20
| h3(e11) = e20
| op2(e21,e23) = op2(e22,e23)
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_4_1309,refute_4_1310]) ).
cnf(refute_4_1312,plain,
( op2(e21,e23) != e20
| h3(e11) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_4_1311,refute_4_781]) ).
cnf(refute_4_1313,plain,
( e20 != e20
| op2(e21,e23) != e20
| op2(e21,e23) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[1],$fot(e20)]]) ).
cnf(refute_4_1314,plain,
( e20 != e20
| op2(e21,e23) = e20
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_4_1242,refute_4_1313]) ).
cnf(refute_4_1315,plain,
( e20 != e20
| h3(e11) = e20
| op2(e22,e20) = e20
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_4_1314,refute_4_1312]) ).
cnf(refute_4_1316,plain,
( h3(e11) = e20
| op2(e22,e20) = e20
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_294,refute_4_1315]) ).
cnf(refute_4_1317,plain,
( e23 != e23
| h1(e11) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1247,refute_4_676]) ).
cnf(refute_4_1318,plain,
( e23 != e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1317,refute_4_646]) ).
cnf(refute_4_1319,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1318]) ).
cnf(refute_4_1320,plain,
( e21 != op2(e22,e21)
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_1319,refute_4_912]) ).
cnf(refute_4_1321,plain,
( e21 != op2(e22,e21)
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_4_1320,refute_4_911]) ).
cnf(refute_4_1322,plain,
op2(e22,e21) != op2(e22,e23),
inference(canonicalize,[],[normalize_4_163]) ).
cnf(refute_4_1323,plain,
( op2(e22,e21) != e23
| op2(e22,e23) != e23
| op2(e22,e21) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_4_1324,plain,
( op2(e22,e21) != e23
| op2(e22,e21) = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_4_205,refute_4_1323]) ).
cnf(refute_4_1325,plain,
( op2(e22,e21) != e23
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e23)) )],[refute_4_1324,refute_4_1322]) ).
cnf(refute_4_1326,plain,
( e23 != e23
| op2(e22,e21) != e23
| op2(e22,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_4_1327,plain,
( e23 != e23
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_4_924,refute_4_1326]) ).
cnf(refute_4_1328,plain,
( e23 != e23
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_4_1327,refute_4_1325]) ).
cnf(refute_4_1329,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1328]) ).
cnf(refute_4_1330,plain,
( op2(e21,e23) != e20
| op2(e21,e23) = op2(e22,e23)
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_4_1329,refute_4_1310]) ).
cnf(refute_4_1331,plain,
( op2(e21,e23) != e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_4_1330,refute_4_781]) ).
cnf(refute_4_1332,plain,
( e20 != e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_4_1314,refute_4_1331]) ).
cnf(refute_4_1333,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_294,refute_4_1332]) ).
cnf(refute_4_1334,plain,
( e21 != e21
| e21 = op2(e22,e21)
| op2(e22,e21) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_4_1333,refute_4_932]) ).
cnf(refute_4_1335,plain,
( e21 != e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_4_1334,refute_4_1321]) ).
cnf(refute_4_1336,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_1335]) ).
cnf(refute_4_1337,plain,
( op2(e22,e21) != e21
| op2(e22,e21) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[0],$fot(e22)]]) ).
cnf(refute_4_1338,plain,
( op2(e22,e21) != e21
| e22 = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_4_1336,refute_4_1337]) ).
cnf(refute_4_1339,plain,
( e22 = e21
| h3(e11) = e21
| op2(e22,e20) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_4_910,refute_4_1338]) ).
cnf(refute_4_1340,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_4_1339,refute_4_627]) ).
cnf(refute_4_1341,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(e21)]]) ).
cnf(refute_4_1342,plain,
( op2(e22,e20) != e20
| e21 = e20
| h3(e11) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_4_1340,refute_4_1341]) ).
cnf(refute_4_1343,plain,
( e21 = e20
| h3(e11) = e20
| h3(e11) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_4_1316,refute_4_1342]) ).
cnf(refute_4_1344,plain,
( h3(e11) = e20
| h3(e11) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_4_1343,refute_4_687]) ).
cnf(refute_4_1345,plain,
( e20 != e20
| h3(e11) != e20
| e20 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h3(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_4_1346,plain,
( e20 != e20
| e20 = h3(e11)
| h3(e11) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_4_1344,refute_4_1345]) ).
cnf(refute_4_1347,plain,
( e20 != e20
| h1(e10) = e23
| h3(e11) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e20,h3(e11)) )],[refute_4_1346,refute_4_1306]) ).
cnf(refute_4_1348,plain,
( h1(e10) = e23
| h3(e11) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_294,refute_4_1347]) ).
cnf(refute_4_1349,plain,
( h1(e11) != e23
| h1(e11) = op2(e23,e20)
| h3(e11) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_4_881,refute_4_891]) ).
cnf(refute_4_1350,plain,
( h1(e11) != e23
| h3(e11) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,e20)) )],[refute_4_1349,refute_4_890]) ).
cnf(refute_4_1351,plain,
( e23 != e23
| h3(e11) = e22
| op2(e21,e22) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1317,refute_4_1350]) ).
cnf(refute_4_1352,plain,
( h3(e11) = e22
| op2(e21,e22) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1351]) ).
cnf(refute_4_1353,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e22),op2(e21,e22)) = e22 ),
inference(canonicalize,[],[normalize_4_164]) ).
cnf(refute_4_1354,plain,
( ~ definitionFOFtoCNF_3
| op2(op2(e21,e22),op2(e21,e22)) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_4_1223,refute_4_1353]) ).
cnf(refute_4_1355,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_4_961,refute_4_1354]) ).
cnf(refute_4_1356,plain,
op2(e21,e22) != op2(e21,e23),
inference(canonicalize,[],[normalize_4_165]) ).
cnf(refute_4_1357,plain,
( op2(e21,e22) != e20
| op2(e21,e23) != e20
| op2(e21,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e21,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_4_1358,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e21,e23)
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_4_1242,refute_4_1357]) ).
cnf(refute_4_1359,plain,
( op2(e21,e22) != e20
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e23)) )],[refute_4_1358,refute_4_1356]) ).
cnf(refute_4_1360,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_4_166]) ).
cnf(refute_4_1361,plain,
( e23 != e23
| h1(e10) = e23
| op2(e23,e20) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1289,refute_4_893]) ).
cnf(refute_4_1362,plain,
( h1(e10) = e23
| op2(e23,e20) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1361]) ).
cnf(refute_4_1363,plain,
( e22 != e22
| h1(e10) = e23
| op2(e23,e20) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_4_1362,refute_4_605]) ).
cnf(refute_4_1364,plain,
( e22 != e22
| h1(e10) = e23
| op2(e23,e22) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_4_1363,refute_4_886]) ).
cnf(refute_4_1365,plain,
( h1(e10) = e23
| op2(e23,e22) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_608,refute_4_1364]) ).
cnf(refute_4_1366,plain,
( op2(e21,e22) != e23
| op2(e23,e22) != e23
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_4_1367,plain,
( op2(e21,e22) != e23
| h1(e10) = e23
| op2(e21,e22) = op2(e23,e22)
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_4_1365,refute_4_1366]) ).
cnf(refute_4_1368,plain,
( op2(e21,e22) != e23
| h1(e10) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_4_1367,refute_4_1360]) ).
cnf(refute_4_1369,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_4_167]) ).
cnf(refute_4_1370,plain,
( e23 != e23
| op2(e21,e22) != e23
| op2(e21,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_4_1371,plain,
( e23 != e23
| op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_4_1369,refute_4_1370]) ).
cnf(refute_4_1372,plain,
( e23 != e23
| h1(e10) = e23
| op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_4_1371,refute_4_1368]) ).
cnf(refute_4_1373,plain,
( h1(e10) = e23
| op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1372]) ).
cnf(refute_4_1374,plain,
( e20 != e20
| op2(e21,e22) != e20
| op2(e21,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e20) ),[1],$fot(e20)]]) ).
cnf(refute_4_1375,plain,
( e20 != e20
| h1(e10) = e23
| op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_4_1373,refute_4_1374]) ).
cnf(refute_4_1376,plain,
( e20 != e20
| h1(e10) = e23
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_4_1375,refute_4_1359]) ).
cnf(refute_4_1377,plain,
( h1(e10) = e23
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_294,refute_4_1376]) ).
cnf(refute_4_1378,plain,
( op2(e21,e22) != e22
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(e22,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),op2(e21,e22)),e22) ),[0,0],$fot(e22)]]) ).
cnf(refute_4_1379,plain,
( op2(op2(e21,e22),op2(e21,e22)) != e22
| h1(e10) = e23
| op2(e21,e22) = e21
| op2(e22,op2(e21,e22)) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_4_1377,refute_4_1378]) ).
cnf(refute_4_1380,plain,
( h1(e10) = e23
| op2(e21,e22) = e21
| op2(e22,op2(e21,e22)) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),op2(e21,e22)),e22) )],[refute_4_1355,refute_4_1379]) ).
cnf(refute_4_1381,plain,
( op2(e21,e22) != e22
| op2(e22,op2(e21,e22)) != e22
| op2(e22,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e21,e22)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_4_1382,plain,
( op2(e22,op2(e21,e22)) != e22
| h1(e10) = e23
| op2(e21,e22) = e21
| op2(e22,e22) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_4_1377,refute_4_1381]) ).
cnf(refute_4_1383,plain,
( h1(e10) = e23
| op2(e21,e22) = e21
| op2(e22,e22) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),e22) )],[refute_4_1380,refute_4_1382]) ).
cnf(refute_4_1384,plain,
( h1(e10) = e23
| h3(e11) = e22
| op2(e21,e22) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_4_1383,refute_4_866]) ).
cnf(refute_4_1385,plain,
( op2(e21,e22) != e21
| op2(e21,e22) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e21)]]) ).
cnf(refute_4_1386,plain,
( op2(e21,e22) != e22
| e21 = e22
| h1(e10) = e23
| h3(e11) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_1384,refute_4_1385]) ).
cnf(refute_4_1387,plain,
( e21 = e22
| h1(e10) = e23
| h3(e11) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_4_1352,refute_4_1386]) ).
cnf(refute_4_1388,plain,
( h1(e10) = e23
| h3(e11) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_1387,refute_4_708]) ).
cnf(refute_4_1389,plain,
( h3(e11) != e21
| h3(e11) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[0],$fot(e22)]]) ).
cnf(refute_4_1390,plain,
( h3(e11) != e21
| e22 = e21
| h1(e10) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_4_1388,refute_4_1389]) ).
cnf(refute_4_1391,plain,
( e22 = e21
| h1(e10) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_4_1348,refute_4_1390]) ).
cnf(refute_4_1392,plain,
( h1(e10) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_4_1391,refute_4_627]) ).
cnf(refute_4_1393,plain,
( e23 != e23
| h1(e10) != e23
| e23 = h1(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h1(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_4_1394,plain,
( e23 != e23
| e23 = h1(e10)
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_4_1392,refute_4_1393]) ).
cnf(refute_4_1395,plain,
( e23 != e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,h1(e10)) )],[refute_4_1394,refute_4_1275]) ).
cnf(refute_4_1396,plain,
definitionFOFtoCNF_31,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1395]) ).
cnf(refute_4_1397,plain,
( h1(e10) = e20
| h1(e10) = e23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_31 )],[refute_4_1396,refute_4_1174]) ).
cnf(refute_4_1398,plain,
( e20 != e20
| h1(e10) != e20
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_4_1399,plain,
( e20 != e20
| h1(e10) = e20
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_4_1397,refute_4_1398]) ).
cnf(refute_4_1400,plain,
( e20 != e20
| h1(e10) = e23
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_4_1399,refute_4_1152]) ).
cnf(refute_4_1401,plain,
( h1(e10) = e23
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_294,refute_4_1400]) ).
cnf(refute_4_1402,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[0],$fot(e10)]]) ).
cnf(refute_4_1403,plain,
( op1(e10,e10) != e13
| e10 = e13
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_4_1401,refute_4_1402]) ).
cnf(refute_4_1404,plain,
( e10 = e13
| h1(e10) = e23
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_4_1124,refute_4_1403]) ).
cnf(refute_4_1405,plain,
( h1(e10) = e23
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_4_1404,refute_4_502]) ).
cnf(refute_4_1406,plain,
( h1(e10) = e23
| h1(e11) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e11)) )],[refute_4_1405,refute_4_698]) ).
cnf(refute_4_1407,plain,
( h1(e10) != e22
| h1(e10) = e23
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_4_1406,refute_4_1280]) ).
cnf(refute_4_1408,plain,
( h1(e10) != e22
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_4_1407,refute_4_280]) ).
cnf(refute_4_1409,plain,
( h1(e10) != e22
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_4_1408,refute_4_1283]) ).
cnf(refute_4_1410,plain,
h1(e10) != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_1409,refute_4_616]) ).
cnf(refute_4_1411,plain,
( h1(e11) = e20
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_4_694,refute_4_1410]) ).
cnf(refute_4_1412,plain,
( e21 != e21
| h1(e11) = e20
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_1411,refute_4_764]) ).
cnf(refute_4_1413,plain,
( e21 != e21
| h1(e11) = e20
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_1412,refute_4_1092]) ).
cnf(refute_4_1414,plain,
( h1(e11) = e20
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_1413]) ).
cnf(refute_4_1415,plain,
( h1(e11) != e23
| h1(e11) = e20
| h1(e11) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_1414,refute_4_644]) ).
cnf(refute_4_1416,plain,
( h1(e11) != e23
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_4_1415,refute_4_643]) ).
cnf(refute_4_1417,plain,
( h1(e11) != e23
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_1416,refute_4_1116]) ).
cnf(refute_4_1418,plain,
h1(e11) != e23,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_4_1417,refute_4_660]) ).
cnf(refute_4_1419,plain,
( h3(e11) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1090,refute_4_1418]) ).
cnf(refute_4_1420,plain,
( e23 != e23
| h3(e11) != e23
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_4_1421,plain,
( e23 != e23
| h3(e11) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_4_1419,refute_4_1420]) ).
cnf(refute_4_1422,plain,
( e23 != e23
| op2(e21,e23) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_4_1421,refute_4_965]) ).
cnf(refute_4_1423,plain,
( op2(e21,e23) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1422]) ).
cnf(refute_4_1424,plain,
( op2(e21,e23) != e23
| op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(e23,op2(e21,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_4_1425,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(e23,op2(e21,e23)) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_4_1423,refute_4_1424]) ).
cnf(refute_4_1426,plain,
( op2(e23,op2(e21,e23)) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) )],[refute_4_962,refute_4_1425]) ).
cnf(refute_4_1427,plain,
( op2(e21,e23) != e23
| op2(e23,op2(e21,e23)) != e23
| op2(e23,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_4_1428,plain,
( op2(e23,op2(e21,e23)) != e23
| op2(e23,e23) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_4_1423,refute_4_1427]) ).
cnf(refute_4_1429,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e23)),e23) )],[refute_4_1426,refute_4_1428]) ).
cnf(refute_4_1430,plain,
( e21 = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_4_1429,refute_4_788]) ).
cnf(refute_4_1431,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_1430,refute_4_710]) ).
cnf(refute_4_1432,plain,
( ~ definitionFOFtoCNF_0
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_4_1431,refute_4_52]) ).
cnf(refute_4_1433,plain,
op1(e10,e10) != op1(e10,e11),
inference(canonicalize,[],[normalize_4_168]) ).
cnf(refute_4_1434,plain,
( e21 != h2(e11)
| op1(e10,e11) = e13
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_350,refute_4_824]) ).
cnf(refute_4_1435,plain,
( e21 != h2(e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_4_1434,refute_4_718]) ).
cnf(refute_4_1436,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(canonicalize,[],[normalize_4_169]) ).
cnf(refute_4_1437,plain,
( op1(e10,e13) != e11
| op1(e10,e13) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[0],$fot(e12)]]) ).
cnf(refute_4_1438,plain,
( op1(e10,e13) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_4_68,refute_4_1437]) ).
cnf(refute_4_1439,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_4_1436,refute_4_1438]) ).
cnf(refute_4_1440,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_4_1439,refute_4_534]) ).
cnf(refute_4_1441,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e11) = op2(e20,e22)
| op1(e10,e10) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_4_1440,refute_4_976]) ).
cnf(refute_4_1442,plain,
( h4(e11) = op2(e20,e22)
| op1(e10,e10) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_4_386,refute_4_1441]) ).
cnf(refute_4_1443,plain,
( e21 = op2(e20,e22)
| op1(e10,e10) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e22)) )],[refute_4_1442,refute_4_980]) ).
cnf(refute_4_1444,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_4_1443,refute_4_982]) ).
cnf(refute_4_1445,plain,
( op2(e20,e22) != e20
| op2(e20,e22) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0],$fot(e21)]]) ).
cnf(refute_4_1446,plain,
( op2(e20,e22) != e20
| e21 = e20
| op1(e10,e10) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_1444,refute_4_1445]) ).
cnf(refute_4_1447,plain,
( e21 = e20
| h1(e11) = e20
| op1(e10,e10) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_261,refute_4_1446]) ).
cnf(refute_4_1448,plain,
( h1(e11) = e20
| op1(e10,e10) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_4_1447,refute_4_687]) ).
cnf(refute_4_1449,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h1(e11) = e20
| h4(e11) = op2(e20,e21)
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_4_1448,refute_4_343]) ).
cnf(refute_4_1450,plain,
( h1(e11) = e20
| h4(e11) = op2(e20,e21)
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_4_335,refute_4_1449]) ).
cnf(refute_4_1451,plain,
( e21 = op2(e20,e21)
| h1(e11) = e20
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e21)) )],[refute_4_1450,refute_4_347]) ).
cnf(refute_4_1452,plain,
( h1(e11) = e20
| op1(e10,e10) = e11
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_4_1451,refute_4_349]) ).
cnf(refute_4_1453,plain,
( h1(e11) != e21
| h1(e11) = e20
| h1(e11) = op2(e20,e21)
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_1452,refute_4_680]) ).
cnf(refute_4_1454,plain,
( h1(e11) != e21
| h1(e11) = e20
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_4_1453,refute_4_643]) ).
cnf(refute_4_1455,plain,
( h1(e11) != e21
| e21 = e20
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_1454,refute_4_683]) ).
cnf(refute_4_1456,plain,
( h1(e11) != e21
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_4_1455,refute_4_687]) ).
cnf(refute_4_1457,plain,
( e21 != e21
| h1(e10) = e20
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_1164,refute_4_764]) ).
cnf(refute_4_1458,plain,
( e21 != e21
| h1(e10) = e20
| h1(e11) = e23
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_1457,refute_4_1456]) ).
cnf(refute_4_1459,plain,
( h1(e10) = e20
| h1(e11) = e23
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_1458]) ).
cnf(refute_4_1460,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 ),
inference(canonicalize,[],[normalize_4_172]) ).
cnf(refute_4_1461,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_4_173]) ).
cnf(refute_4_1462,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_4_178]) ).
cnf(refute_4_1463,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_4_1464,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_4_1465,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_4_1463,refute_4_1464]) ).
cnf(refute_4_1466,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_79,refute_4_1465]) ).
cnf(refute_4_1467,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_4_1468,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_4_1469,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_4_1467,refute_4_1468]) ).
cnf(refute_4_1470,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_79,refute_4_1469]) ).
cnf(refute_4_1471,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_4_1472,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_4_1470,refute_4_1471]) ).
cnf(refute_4_1473,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_4_1466,refute_4_1472]) ).
cnf(refute_4_1474,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e13
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| op1(e11,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e13) ),[0],$fot(op1(e11,e11))]]) ).
cnf(refute_4_1475,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_4_1473,refute_4_1474]) ).
cnf(refute_4_1476,plain,
( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e13) )],[refute_4_1462,refute_4_1475]) ).
cnf(refute_4_1477,plain,
( op1(e10,e11) != e13
| op1(e11,e11) != e13
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_4_1478,plain,
( op1(e10,e11) != e13
| op1(e10,e11) = op1(e11,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_4_1476,refute_4_1477]) ).
cnf(refute_4_1479,plain,
( op1(e10,e11) != e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_4_1478,refute_4_1461]) ).
cnf(refute_4_1480,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_4_179]) ).
cnf(refute_4_1481,plain,
op1(e10,op1(e13,e11)) = op1(e10,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e11)))]]) ).
cnf(refute_4_1482,plain,
( op1(e10,op1(e13,e11)) != op1(e10,op1(e13,e11))
| op1(e13,e11) != e10
| op1(e10,op1(e13,e11)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,op1(e13,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_4_1483,plain,
( op1(e13,e11) != e10
| op1(e10,op1(e13,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,op1(e13,e11))) )],[refute_4_1481,refute_4_1482]) ).
cnf(refute_4_1484,plain,
op1(e10,op1(e13,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_4_88,refute_4_1483]) ).
cnf(refute_4_1485,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(op1(e13,e11),op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e11),op1(e13,e11)))]]) ).
cnf(refute_4_1486,plain,
( op1(e13,e11) != e10
| op1(op1(e13,e11),op1(e13,e11)) != op1(op1(e13,e11),op1(e13,e11))
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(op1(e13,e11),op1(e13,e11))) ),[1,0],$fot(e10)]]) ).
cnf(refute_4_1487,plain,
( op1(e13,e11) != e10
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(op1(e13,e11),op1(e13,e11))) )],[refute_4_1485,refute_4_1486]) ).
cnf(refute_4_1488,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_4_88,refute_4_1487]) ).
cnf(refute_4_1489,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e10)
| op1(op1(e13,e11),op1(e13,e11)) != op1(e10,op1(e13,e11))
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op1(op1(e13,e11),op1(e13,e11)))),bind(Y,$fot(op1(e10,op1(e13,e11)))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_4_1490,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e10)
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(e10,op1(e13,e11))) )],[refute_4_1488,refute_4_1489]) ).
cnf(refute_4_1491,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,e10)) )],[refute_4_1484,refute_4_1490]) ).
cnf(refute_4_1492,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| op1(op1(e13,e11),op1(e13,e11)) != op1(e10,e10)
| op1(e10,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),e11) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_4_1493,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(e10,e10)) )],[refute_4_1491,refute_4_1492]) ).
cnf(refute_4_1494,plain,
( op1(e10,e10) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),e11) )],[refute_4_1480,refute_4_1493]) ).
cnf(refute_4_1495,plain,
( e11 != op1(e10,e11)
| op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e10,e11))]]) ).
cnf(refute_4_1496,plain,
( e11 != op1(e10,e11)
| op1(e10,e10) = op1(e10,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_4_1494,refute_4_1495]) ).
cnf(refute_4_1497,plain,
( e11 != op1(e10,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_4_1496,refute_4_1433]) ).
cnf(refute_4_1498,plain,
( e11 != e11
| op1(e10,e11) != e11
| e11 = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_4_1499,plain,
( e11 != e11
| e11 = op1(e10,e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_4_342,refute_4_1498]) ).
cnf(refute_4_1500,plain,
( e11 != e11
| op1(e10,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e11,op1(e10,e11)) )],[refute_4_1499,refute_4_1497]) ).
cnf(refute_4_1501,plain,
( op1(e10,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_4_422,refute_4_1500]) ).
cnf(refute_4_1502,plain,
( e13 != e13
| op1(e10,e11) != e13
| op1(e10,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_4_1503,plain,
( e13 != e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_4_1501,refute_4_1502]) ).
cnf(refute_4_1504,plain,
( e13 != e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_4_1503,refute_4_1479]) ).
cnf(refute_4_1505,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_4_408,refute_4_1504]) ).
cnf(refute_4_1506,plain,
( op1(op1(e12,e13),op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_4_1505,refute_4_1460]) ).
cnf(refute_4_1507,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_4_180]) ).
cnf(refute_4_1508,plain,
( e12 = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_4_1507,refute_4_70]) ).
cnf(refute_4_1509,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).
cnf(refute_4_1510,plain,
( op1(e13,e13) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_79,refute_4_1509]) ).
cnf(refute_4_1511,plain,
( e11 = e10
| e12 = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_1508,refute_4_1510]) ).
cnf(refute_4_1512,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_4_1513,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_4_1512,refute_4_513]) ).
cnf(refute_4_1514,plain,
( e12 = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_4_1511,refute_4_1513]) ).
cnf(refute_4_1515,plain,
( op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_4_1514,refute_4_74]) ).
cnf(refute_4_1516,plain,
( op1(e12,e13) != e10
| op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(op1(e12,e13),e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) ),[0,1],$fot(e10)]]) ).
cnf(refute_4_1517,plain,
( op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e11,e13) = e10
| op1(op1(e12,e13),e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_4_1515,refute_4_1516]) ).
cnf(refute_4_1518,plain,
( op1(e11,e13) = e10
| op1(op1(e12,e13),e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) )],[refute_4_1506,refute_4_1517]) ).
cnf(refute_4_1519,plain,
( op1(e12,e13) != e10
| op1(op1(e12,e13),e10) != e13
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e10),e13) ),[0,0],$fot(e10)]]) ).
cnf(refute_4_1520,plain,
( op1(op1(e12,e13),e10) != e13
| op1(e10,e10) = e13
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_4_1515,refute_4_1519]) ).
cnf(refute_4_1521,plain,
( op1(e10,e10) = e13
| op1(e11,e13) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e10),e13) )],[refute_4_1518,refute_4_1520]) ).
cnf(refute_4_1522,plain,
op1(e11,e10) != op1(e11,e13),
inference(canonicalize,[],[normalize_4_181]) ).
cnf(refute_4_1523,plain,
( op1(e11,e10) != e10
| op1(e11,e13) != e10
| op1(e11,e10) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_4_1524,plain,
( op1(e11,e10) != e10
| op1(e11,e10) = op1(e11,e13)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_4_487,refute_4_1523]) ).
cnf(refute_4_1525,plain,
( op1(e11,e10) != e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e13)) )],[refute_4_1524,refute_4_1522]) ).
cnf(refute_4_1526,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 ),
inference(canonicalize,[],[normalize_4_182]) ).
cnf(refute_4_1527,plain,
( op1(op1(e12,e10),op1(e12,e10)) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_4_1505,refute_4_1526]) ).
cnf(refute_4_1528,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(canonicalize,[],[normalize_4_183]) ).
cnf(refute_4_1529,plain,
op1(e13,e10) != op1(e13,e11),
inference(canonicalize,[],[normalize_4_184]) ).
cnf(refute_4_1530,plain,
( op1(e13,e10) != e10
| op1(e13,e11) != e10
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_4_1531,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_4_88,refute_4_1530]) ).
cnf(refute_4_1532,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_4_1531,refute_4_1529]) ).
cnf(refute_4_1533,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_4_1528,refute_4_1532]) ).
cnf(refute_4_1534,plain,
( op1(e12,e10) != e10
| op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(e10,op1(e12,e10)) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),op1(e12,e10)),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_4_1535,plain,
( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(e10,e10) = e10
| op1(e10,op1(e12,e10)) = e10
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_4_1533,refute_4_1534]) ).
cnf(refute_4_1536,plain,
( op1(e10,e10) = e10
| op1(e10,op1(e12,e10)) = e10
| op1(e11,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),op1(e12,e10)),e10) )],[refute_4_1527,refute_4_1535]) ).
cnf(refute_4_1537,plain,
( op1(e10,op1(e12,e10)) != e10
| op1(e12,e10) != e10
| op1(e10,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e10)),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_4_1538,plain,
( op1(e10,op1(e12,e10)) != e10
| op1(e10,e10) = e10
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_4_1533,refute_4_1537]) ).
cnf(refute_4_1539,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e10)),e10) )],[refute_4_1536,refute_4_1538]) ).
cnf(refute_4_1540,plain,
( e10 != e10
| op1(e11,e10) != e10
| op1(e11,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_4_1541,plain,
( e10 != e10
| op1(e10,e10) = e10
| op1(e11,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_4_1539,refute_4_1540]) ).
cnf(refute_4_1542,plain,
( e10 != e10
| op1(e10,e10) = e10
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_4_1541,refute_4_1525]) ).
cnf(refute_4_1543,plain,
( op1(e10,e10) = e10
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_4_491,refute_4_1542]) ).
cnf(refute_4_1544,plain,
( op1(e11,e13) != e10
| op1(e11,e13) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e10) ),[0],$fot(e13)]]) ).
cnf(refute_4_1545,plain,
( op1(e11,e13) != e10
| e13 = e10
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_4_1543,refute_4_1544]) ).
cnf(refute_4_1546,plain,
( e13 = e10
| op1(e10,e10) = e10
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_4_1521,refute_4_1545]) ).
cnf(refute_4_1547,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_4_1548,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_4_1547,refute_4_502]) ).
cnf(refute_4_1549,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_4_1546,refute_4_1548]) ).
cnf(refute_4_1550,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e13
| h4(e13) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_4_1551,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e13) = h1(e11)
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_4_1549,refute_4_1550]) ).
cnf(refute_4_1552,plain,
( h4(e13) = h1(e11)
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_4_50,refute_4_1551]) ).
cnf(refute_4_1553,plain,
( h4(e13) != e23
| h4(e13) != h1(e11)
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h1(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_4_1554,plain,
( h4(e13) != h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_4_51,refute_4_1553]) ).
cnf(refute_4_1555,plain,
( e23 = h1(e11)
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e13),h1(e11)) )],[refute_4_1552,refute_4_1554]) ).
cnf(refute_4_1556,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[0],$fot(e10)]]) ).
cnf(refute_4_1557,plain,
( op1(e10,e10) != e11
| e10 = e11
| e23 = h1(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_4_1555,refute_4_1556]) ).
cnf(refute_4_1558,plain,
( e10 = e11
| e23 = h1(e11)
| h1(e10) = e20
| h1(e11) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_4_1459,refute_4_1557]) ).
cnf(refute_4_1559,plain,
( h1(e11) != e23
| e23 = h1(e11) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(e23))]]) ).
cnf(refute_4_1560,plain,
( e10 = e11
| e23 = h1(e11)
| h1(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1558,refute_4_1559]) ).
cnf(refute_4_1561,plain,
( e23 = h1(e11)
| h1(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_4_1560,refute_4_513]) ).
cnf(refute_4_1562,plain,
( e23 != h1(e11)
| h1(e11) = e23 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e23)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_4_1563,plain,
( h1(e10) = e20
| h1(e11) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_4_1561,refute_4_1562]) ).
cnf(refute_4_1564,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = e20
| h1(e10) = op2(e20,e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1563,refute_4_689]) ).
cnf(refute_4_1565,plain,
( h1(e10) = e20
| h1(e10) = op2(e20,e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_4_13,refute_4_1564]) ).
cnf(refute_4_1566,plain,
( h1(e10) = e20
| h1(e10) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e23)) )],[refute_4_1565,refute_4_693]) ).
cnf(refute_4_1567,plain,
( e22 != e22
| h1(e10) = e20
| h1(e10) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_4_1566,refute_4_1171]) ).
cnf(refute_4_1568,plain,
( e22 != e22
| ~ definitionFOFtoCNF_31
| h1(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_4_1567,refute_4_1153]) ).
cnf(refute_4_1569,plain,
( ~ definitionFOFtoCNF_31
| h1(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_608,refute_4_1568]) ).
cnf(refute_4_1570,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 ),
inference(canonicalize,[],[normalize_4_185]) ).
cnf(refute_4_1571,plain,
op2(h2(e11),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e11),op2(e21,e21)))]]) ).
cnf(refute_4_1572,plain,
( op2(e21,e21) != h2(e11)
| op2(h2(e11),op2(e21,e21)) != op2(h2(e11),op2(e21,e21))
| op2(h2(e11),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),op2(e21,e21)),op2(h2(e11),op2(e21,e21))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_4_1573,plain,
( op2(e21,e21) != h2(e11)
| op2(h2(e11),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),op2(e21,e21)),op2(h2(e11),op2(e21,e21))) )],[refute_4_1571,refute_4_1572]) ).
cnf(refute_4_1574,plain,
op2(h2(e11),op2(e21,e21)) = op2(h2(e11),h2(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_545,refute_4_1573]) ).
cnf(refute_4_1575,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_4_1576,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e11))]]) ).
cnf(refute_4_1577,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_4_1575,refute_4_1576]) ).
cnf(refute_4_1578,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_545,refute_4_1577]) ).
cnf(refute_4_1579,plain,
( op2(h2(e11),op2(e21,e21)) != op2(h2(e11),h2(e11))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e11),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e11),op2(e21,e21)))),bind(Z,$fot(op2(h2(e11),h2(e11))))]]) ).
cnf(refute_4_1580,plain,
( op2(h2(e11),op2(e21,e21)) != op2(h2(e11),h2(e11))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e11),op2(e21,e21))) )],[refute_4_1578,refute_4_1579]) ).
cnf(refute_4_1581,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),h2(e11)),
inference(resolve,[$cnf( $equal(op2(h2(e11),op2(e21,e21)),op2(h2(e11),h2(e11))) )],[refute_4_1574,refute_4_1580]) ).
cnf(refute_4_1582,plain,
( op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e11),h2(e11))
| op2(h2(e11),h2(e11)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),e21) ),[0],$fot(op2(h2(e11),h2(e11)))]]) ).
cnf(refute_4_1583,plain,
( op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(h2(e11),h2(e11)) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e11),h2(e11))) )],[refute_4_1581,refute_4_1582]) ).
cnf(refute_4_1584,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(h2(e11),h2(e11)) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),e21) )],[refute_4_1570,refute_4_1583]) ).
cnf(refute_4_1585,plain,
( ~ definitionFOFtoCNF_3
| op2(h2(e11),h2(e11)) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_4_1223,refute_4_1584]) ).
cnf(refute_4_1586,plain,
( op2(h2(e11),h2(e11)) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_4_961,refute_4_1585]) ).
cnf(refute_4_1587,plain,
( h1(e11) != e21
| op2(e20,e22) != e21
| h1(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_4_1588,plain,
( h1(e11) != e21
| h1(e11) = op2(e20,e22)
| op2(e20,e22) = e20
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_290,refute_4_1587]) ).
cnf(refute_4_1589,plain,
( h1(e11) != e21
| op2(e20,e22) = e20
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_4_1588,refute_4_232]) ).
cnf(refute_4_1590,plain,
( e21 != e21
| h1(e10) = e22
| h1(e11) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_1263,refute_4_764]) ).
cnf(refute_4_1591,plain,
( e21 != e21
| h1(e10) = e22
| op2(e20,e22) = e20
| op2(e20,e22) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_1590,refute_4_1589]) ).
cnf(refute_4_1592,plain,
( h1(e10) = e22
| op2(e20,e22) = e20
| op2(e20,e22) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_1591]) ).
cnf(refute_4_1593,plain,
( op2(e20,e21) != e23
| op2(e20,e22) != e23
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_4_1594,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = op2(e20,e22)
| op2(e20,e22) = e20
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_4_290,refute_4_1593]) ).
cnf(refute_4_1595,plain,
( op2(e20,e21) != e23
| op2(e20,e22) = e20
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_4_1594,refute_4_143]) ).
cnf(refute_4_1596,plain,
( e21 != e21
| h1(e10) = e22
| op2(e20,e21) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_1590,refute_4_1092]) ).
cnf(refute_4_1597,plain,
( h1(e10) = e22
| op2(e20,e21) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_1596]) ).
cnf(refute_4_1598,plain,
( e23 != e23
| op2(e20,e21) != e23
| op2(e20,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_4_1599,plain,
( e23 != e23
| h1(e10) = e22
| op2(e20,e21) = e23
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_1597,refute_4_1598]) ).
cnf(refute_4_1600,plain,
( e23 != e23
| h1(e10) = e22
| op2(e20,e22) = e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_1599,refute_4_1595]) ).
cnf(refute_4_1601,plain,
( h1(e10) = e22
| op2(e20,e22) = e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1600]) ).
cnf(refute_4_1602,plain,
( op2(e20,e22) != e21
| op2(e20,e22) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e23) ),[0],$fot(e21)]]) ).
cnf(refute_4_1603,plain,
( op2(e20,e22) != e23
| e21 = e23
| h1(e10) = e22
| op2(e20,e22) = e20
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_1601,refute_4_1602]) ).
cnf(refute_4_1604,plain,
( e21 = e23
| h1(e10) = e22
| op2(e20,e22) = e20
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_4_1592,refute_4_1603]) ).
cnf(refute_4_1605,plain,
( h1(e10) = e22
| op2(e20,e22) = e20
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_1604,refute_4_710]) ).
cnf(refute_4_1606,plain,
( h1(e11) != e20
| h1(e10) = e22
| h1(e11) = op2(e20,e22)
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_1605,refute_4_1129]) ).
cnf(refute_4_1607,plain,
( h1(e11) != e20
| h1(e10) = e22
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_4_1606,refute_4_232]) ).
cnf(refute_4_1608,plain,
( op2(e20,e21) != e21
| op2(e20,e21) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e21)]]) ).
cnf(refute_4_1609,plain,
( op2(e20,e21) != e23
| e21 = e23
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_350,refute_4_1608]) ).
cnf(refute_4_1610,plain,
( e21 = e23
| h1(e10) = e22
| h1(e11) = e20
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_1134,refute_4_1609]) ).
cnf(refute_4_1611,plain,
( h1(e10) = e22
| h1(e11) = e20
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_1610,refute_4_710]) ).
cnf(refute_4_1612,plain,
( op1(e10,e12) != e10
| op1(e10,e12) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[0],$fot(e11)]]) ).
cnf(refute_4_1613,plain,
( op1(e10,e12) != e10
| e11 = e10
| op1(e10,e10) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_4_1440,refute_4_1612]) ).
cnf(refute_4_1614,plain,
( e11 = e10
| op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_4_92,refute_4_1613]) ).
cnf(refute_4_1615,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_4_1614,refute_4_1513]) ).
cnf(refute_4_1616,plain,
( op1(e10,e11) != e11
| op1(e10,e11) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e11)]]) ).
cnf(refute_4_1617,plain,
( op1(e10,e11) != e13
| e11 = e13
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_4_1615,refute_4_1616]) ).
cnf(refute_4_1618,plain,
( e11 = e13
| h1(e10) = e22
| h1(e11) = e20
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_4_1611,refute_4_1617]) ).
cnf(refute_4_1619,plain,
( h1(e10) = e22
| h1(e11) = e20
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_4_1618,refute_4_452]) ).
cnf(refute_4_1620,plain,
( h4(op1(e10,e10)) != h1(e11)
| h1(e10) = e22
| h1(e11) = e20
| h4(e10) = h1(e11)
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_4_1619,refute_4_104]) ).
cnf(refute_4_1621,plain,
( h1(e10) = e22
| h1(e11) = e20
| h4(e10) = h1(e11)
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_4_50,refute_4_1620]) ).
cnf(refute_4_1622,plain,
( e20 = h1(e11)
| h1(e10) = e22
| h1(e11) = e20
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_4_1621,refute_4_108]) ).
cnf(refute_4_1623,plain,
( h1(e11) != e20
| e20 = h1(e11) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(e20))]]) ).
cnf(refute_4_1624,plain,
( e20 = h1(e11)
| h1(e10) = e22
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_1622,refute_4_1623]) ).
cnf(refute_4_1625,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e10) = h1(e11)
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_4_1549,refute_4_104]) ).
cnf(refute_4_1626,plain,
( h4(e10) = h1(e11)
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_4_50,refute_4_1625]) ).
cnf(refute_4_1627,plain,
( e20 = h1(e11)
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_4_1626,refute_4_108]) ).
cnf(refute_4_1628,plain,
( op1(e10,e10) != e11
| op1(e10,e10) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[0],$fot(e13)]]) ).
cnf(refute_4_1629,plain,
( op1(e10,e10) != e11
| e13 = e11
| e20 = h1(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_4_1627,refute_4_1628]) ).
cnf(refute_4_1630,plain,
( e13 = e11
| e20 = h1(e11)
| h1(e10) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_4_1624,refute_4_1629]) ).
cnf(refute_4_1631,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_4_1632,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_4_1631,refute_4_452]) ).
cnf(refute_4_1633,plain,
( e20 = h1(e11)
| h1(e10) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_4_1630,refute_4_1632]) ).
cnf(refute_4_1634,plain,
( h1(e10) = e22
| h1(e11) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_4_1633,refute_4_110]) ).
cnf(refute_4_1635,plain,
( e20 != e20
| h1(e11) != e20
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(e20)]]) ).
cnf(refute_4_1636,plain,
( e20 != e20
| h1(e10) = e22
| h1(e11) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_1634,refute_4_1635]) ).
cnf(refute_4_1637,plain,
( e20 != e20
| h1(e10) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_1636,refute_4_1607]) ).
cnf(refute_4_1638,plain,
( h1(e10) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_294,refute_4_1637]) ).
cnf(refute_4_1639,plain,
( e22 != e22
| h1(e10) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_4_1638,refute_4_1171]) ).
cnf(refute_4_1640,plain,
( e22 != e22
| h1(e11) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_4_1639,refute_4_1285]) ).
cnf(refute_4_1641,plain,
( h1(e11) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_608,refute_4_1640]) ).
cnf(refute_4_1642,plain,
( e23 != e23
| h1(e11) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1641,refute_4_676]) ).
cnf(refute_4_1643,plain,
( e23 != e23
| op1(e10,e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1642,refute_4_1118]) ).
cnf(refute_4_1644,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1643]) ).
cnf(refute_4_1645,plain,
( e23 != e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1642,refute_4_646]) ).
cnf(refute_4_1646,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1645]) ).
cnf(refute_4_1647,plain,
( h4(e10) != op2(e21,e20)
| op1(e11,e10) != e10
| h4(op1(e11,e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[0,0],$fot(e10)]]) ).
cnf(refute_4_1648,plain,
( h4(e10) != op2(e21,e20)
| h4(op1(e11,e10)) = op2(e21,e20)
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_4_1539,refute_4_1647]) ).
cnf(refute_4_1649,plain,
( h4(e10) != op2(e21,e20)
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) )],[refute_4_1648,refute_4_139]) ).
cnf(refute_4_1650,plain,
( e20 != op2(e21,e20)
| h4(e10) != e20
| h4(e10) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_4_1651,plain,
( e20 != op2(e21,e20)
| h4(e10) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_31,refute_4_1650]) ).
cnf(refute_4_1652,plain,
( e20 != op2(e21,e20)
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e20)) )],[refute_4_1651,refute_4_1649]) ).
cnf(refute_4_1653,plain,
( e20 != op2(e21,e22)
| op2(e20,e22) != e20
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_4_1654,plain,
( e20 != op2(e21,e22)
| op1(e10,e10) = e10
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_1128,refute_4_1653]) ).
cnf(refute_4_1655,plain,
( e20 != op2(e21,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_4_1654,refute_4_1019]) ).
cnf(refute_4_1656,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(canonicalize,[],[normalize_4_186]) ).
cnf(refute_4_1657,plain,
( h2(e11) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_4_1656,refute_4_833]) ).
cnf(refute_4_1658,plain,
( op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_4_1657,refute_4_848]) ).
cnf(refute_4_1659,plain,
( e20 != op2(e22,e23)
| op2(e21,e23) != e20
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_4_1660,plain,
( e20 != op2(e22,e23)
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_4_1658,refute_4_1659]) ).
cnf(refute_4_1661,plain,
( e20 != op2(e22,e23)
| op2(e21,e20) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_4_1660,refute_4_781]) ).
cnf(refute_4_1662,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_4_187]) ).
cnf(refute_4_1663,plain,
( h2(e11) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_4_1662,refute_4_840]) ).
cnf(refute_4_1664,plain,
( e20 = e23
| h2(e11) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_4_1663,refute_4_873]) ).
cnf(refute_4_1665,plain,
( h2(e11) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_1664,refute_4_658]) ).
cnf(refute_4_1666,plain,
( e23 != e23
| h2(e11) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_4_1665,refute_4_1326]) ).
cnf(refute_4_1667,plain,
( e23 != e23
| h2(e11) = e23
| op2(e20,e21) = e23
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_4_1666,refute_4_1325]) ).
cnf(refute_4_1668,plain,
( h2(e11) = e23
| op2(e20,e21) = e23
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1667]) ).
cnf(refute_4_1669,plain,
( e20 != e20
| op2(e22,e23) != e20
| e20 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_4_1670,plain,
( e20 != e20
| e20 = op2(e22,e23)
| h2(e11) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_4_1668,refute_4_1669]) ).
cnf(refute_4_1671,plain,
( e20 != e20
| h2(e11) = e23
| op2(e20,e21) = e23
| op2(e21,e20) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e23)) )],[refute_4_1670,refute_4_1661]) ).
cnf(refute_4_1672,plain,
( h2(e11) = e23
| op2(e20,e21) = e23
| op2(e21,e20) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_294,refute_4_1671]) ).
cnf(refute_4_1673,plain,
( e20 != e20
| op2(e21,e22) != e20
| e20 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e21,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_4_1674,plain,
( e20 != e20
| e20 = op2(e21,e22)
| h2(e11) = e23
| op2(e20,e21) = e23
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_4_1672,refute_4_1673]) ).
cnf(refute_4_1675,plain,
( e20 != e20
| h2(e11) = e23
| op1(e10,e10) = e10
| op2(e20,e21) = e23
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e22)) )],[refute_4_1674,refute_4_1655]) ).
cnf(refute_4_1676,plain,
( h2(e11) = e23
| op1(e10,e10) = e10
| op2(e20,e21) = e23
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_294,refute_4_1675]) ).
cnf(refute_4_1677,plain,
( e20 != e20
| op2(e21,e20) != e20
| e20 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e21,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_4_1678,plain,
( e20 != e20
| e20 = op2(e21,e20)
| h2(e11) = e23
| op1(e10,e10) = e10
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_4_1676,refute_4_1677]) ).
cnf(refute_4_1679,plain,
( e20 != e20
| h2(e11) = e23
| op1(e10,e10) = e10
| op2(e20,e21) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e20)) )],[refute_4_1678,refute_4_1652]) ).
cnf(refute_4_1680,plain,
( h2(e11) = e23
| op1(e10,e10) = e10
| op2(e20,e21) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_294,refute_4_1679]) ).
cnf(refute_4_1681,plain,
( op2(e20,e21) != e21
| op2(e20,e21) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e23)]]) ).
cnf(refute_4_1682,plain,
( op2(e20,e21) != e21
| e23 = e21
| h2(e11) = e23
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_1680,refute_4_1681]) ).
cnf(refute_4_1683,plain,
( e23 = e21
| h2(e11) = e23
| op1(e10,e10) = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_1646,refute_4_1682]) ).
cnf(refute_4_1684,plain,
( h2(e11) = e23
| op1(e10,e10) = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_4_1683,refute_4_940]) ).
cnf(refute_4_1685,plain,
( op1(e10,e10) != e13
| e10 = e13
| h2(e11) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_4_1684,refute_4_1402]) ).
cnf(refute_4_1686,plain,
( e10 = e13
| h2(e11) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_4_1644,refute_4_1685]) ).
cnf(refute_4_1687,plain,
( h2(e11) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_4_1686,refute_4_502]) ).
cnf(refute_4_1688,plain,
( h2(e11) != e23
| op2(h2(e11),h2(e11)) != e21
| op2(h2(e11),e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),h2(e11)),e21) ),[0,1],$fot(e23)]]) ).
cnf(refute_4_1689,plain,
( op2(h2(e11),h2(e11)) != e21
| op2(h2(e11),e23) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_4_1687,refute_4_1688]) ).
cnf(refute_4_1690,plain,
( op2(h2(e11),e23) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),h2(e11)),e21) )],[refute_4_1586,refute_4_1689]) ).
cnf(refute_4_1691,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(canonicalize,[],[normalize_4_188]) ).
cnf(refute_4_1692,plain,
( h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_4_1691,refute_4_556]) ).
cnf(refute_4_1693,plain,
( h2(e11) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_4_1692,refute_4_310]) ).
cnf(refute_4_1694,plain,
( op2(e23,e21) != e20
| op2(e23,e21) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e22) ),[0],$fot(e20)]]) ).
cnf(refute_4_1695,plain,
( op2(e23,e21) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_4_257,refute_4_1694]) ).
cnf(refute_4_1696,plain,
( e20 = e22
| h2(e11) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_4_1693,refute_4_1695]) ).
cnf(refute_4_1697,plain,
( h2(e11) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_4_1696,refute_4_244]) ).
cnf(refute_4_1698,plain,
( e22 != h3(e11)
| h2(e11) = e22
| op2(e22,e21) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_4_1697,refute_4_925]) ).
cnf(refute_4_1699,plain,
( e22 != h3(e11)
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),h3(e11)) )],[refute_4_1698,refute_4_918]) ).
cnf(refute_4_1700,plain,
( h2(e11) != e23
| op2(e21,e23) != e23
| h2(e11) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_4_1701,plain,
( h2(e11) != e23
| h2(e11) = op2(e21,e23)
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_4_1234,refute_4_1700]) ).
cnf(refute_4_1702,plain,
( h2(e11) != e23
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e23)) )],[refute_4_1701,refute_4_830]) ).
cnf(refute_4_1703,plain,
( e23 != e23
| h2(e11) != e23
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_4_1704,plain,
( e23 != e23
| h2(e11) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_4_1687,refute_4_1703]) ).
cnf(refute_4_1705,plain,
( e23 != e23
| op2(e21,e23) = e20
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_4_1704,refute_4_1702]) ).
cnf(refute_4_1706,plain,
( op2(e21,e23) = e20
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1705]) ).
cnf(refute_4_1707,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e21,e23)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_4_1706,refute_4_1357]) ).
cnf(refute_4_1708,plain,
( op2(e21,e22) != e20
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e23)) )],[refute_4_1707,refute_4_1356]) ).
cnf(refute_4_1709,plain,
( e23 != e23
| op2(e23,e20) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1642,refute_4_893]) ).
cnf(refute_4_1710,plain,
( op2(e23,e20) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1709]) ).
cnf(refute_4_1711,plain,
( e22 != e22
| op2(e23,e20) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_4_1710,refute_4_605]) ).
cnf(refute_4_1712,plain,
( e22 != e22
| op2(e23,e22) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_4_1711,refute_4_886]) ).
cnf(refute_4_1713,plain,
( op2(e23,e22) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_608,refute_4_1712]) ).
cnf(refute_4_1714,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e23,e22)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_4_1713,refute_4_1366]) ).
cnf(refute_4_1715,plain,
( op2(e21,e22) != e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_4_1714,refute_4_1360]) ).
cnf(refute_4_1716,plain,
( e23 != e23
| op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_4_1371,refute_4_1715]) ).
cnf(refute_4_1717,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1716]) ).
cnf(refute_4_1718,plain,
( e20 != e20
| op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_4_1717,refute_4_1374]) ).
cnf(refute_4_1719,plain,
( e20 != e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_4_1718,refute_4_1708]) ).
cnf(refute_4_1720,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_294,refute_4_1719]) ).
cnf(refute_4_1721,plain,
( op2(e21,e22) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(e21,op2(e21,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),op2(e21,e22)),e22) ),[0,0],$fot(e21)]]) ).
cnf(refute_4_1722,plain,
( op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(e21,e22) = e22
| op2(e21,op2(e21,e22)) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_1720,refute_4_1721]) ).
cnf(refute_4_1723,plain,
( op2(e21,e22) = e22
| op2(e21,op2(e21,e22)) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),op2(e21,e22)),e22) )],[refute_4_1355,refute_4_1722]) ).
cnf(refute_4_1724,plain,
( op2(e21,e22) != e21
| op2(e21,op2(e21,e22)) != e22
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_4_1725,plain,
( op2(e21,op2(e21,e22)) != e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_1720,refute_4_1724]) ).
cnf(refute_4_1726,plain,
( op2(e21,e21) = e22
| op2(e21,e22) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),e22) )],[refute_4_1723,refute_4_1725]) ).
cnf(refute_4_1727,plain,
( h2(e11) = e22
| op2(e21,e22) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_4_1726,refute_4_556]) ).
cnf(refute_4_1728,plain,
( op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(e21,e22) = e21
| op2(e22,op2(e21,e22)) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_4_1720,refute_4_1378]) ).
cnf(refute_4_1729,plain,
( op2(e21,e22) = e21
| op2(e22,op2(e21,e22)) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),op2(e21,e22)),e22) )],[refute_4_1355,refute_4_1728]) ).
cnf(refute_4_1730,plain,
( op2(e22,op2(e21,e22)) != e22
| op2(e21,e22) = e21
| op2(e22,e22) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_4_1720,refute_4_1381]) ).
cnf(refute_4_1731,plain,
( op2(e21,e22) = e21
| op2(e22,e22) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),e22) )],[refute_4_1729,refute_4_1730]) ).
cnf(refute_4_1732,plain,
( h3(e11) = e22
| op2(e21,e22) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_4_1731,refute_4_866]) ).
cnf(refute_4_1733,plain,
( op2(e21,e22) != e22
| e21 = e22
| h3(e11) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_1732,refute_4_1385]) ).
cnf(refute_4_1734,plain,
( e21 = e22
| h2(e11) = e22
| h3(e11) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_4_1727,refute_4_1733]) ).
cnf(refute_4_1735,plain,
( h2(e11) = e22
| h3(e11) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_1734,refute_4_708]) ).
cnf(refute_4_1736,plain,
( e22 != e22
| e22 = h3(e11)
| h2(e11) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_4_1735,refute_4_928]) ).
cnf(refute_4_1737,plain,
( e22 != e22
| h2(e11) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e22,h3(e11)) )],[refute_4_1736,refute_4_1699]) ).
cnf(refute_4_1738,plain,
( h2(e11) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_608,refute_4_1737]) ).
cnf(refute_4_1739,plain,
( h2(e11) != e22
| op2(h2(e11),e23) != e21
| op2(e22,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e23),e21) ),[0,0],$fot(e22)]]) ).
cnf(refute_4_1740,plain,
( op2(h2(e11),e23) != e21
| op2(e22,e23) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_4_1738,refute_4_1739]) ).
cnf(refute_4_1741,plain,
( op2(e22,e23) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e23),e21) )],[refute_4_1690,refute_4_1740]) ).
cnf(refute_4_1742,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_31 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_4_1741,refute_4_197]) ).
cnf(refute_4_1743,plain,
( h1(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_31 )],[refute_4_1742,refute_4_1569]) ).
cnf(refute_4_1744,plain,
( e20 != e20
| h1(e10) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_4_1743,refute_4_1398]) ).
cnf(refute_4_1745,plain,
( e20 != e20
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_4_1744,refute_4_1152]) ).
cnf(refute_4_1746,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_294,refute_4_1745]) ).
cnf(refute_4_1747,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e12),op1(e12,e12)) = e12 ),
inference(canonicalize,[],[normalize_4_189]) ).
cnf(refute_4_1748,plain,
( op1(op1(e12,e12),op1(e12,e12)) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_4_1505,refute_4_1747]) ).
cnf(refute_4_1749,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e11),op1(e12,e11)) = e11 ),
inference(canonicalize,[],[normalize_4_190]) ).
cnf(refute_4_1750,plain,
( op1(op1(e12,e11),op1(e12,e11)) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_4_1505,refute_4_1749]) ).
cnf(refute_4_1751,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(canonicalize,[],[normalize_4_191]) ).
cnf(refute_4_1752,plain,
( op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_4_1751,refute_4_340]) ).
cnf(refute_4_1753,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_4_1754,plain,
( op1(e13,e11) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_4_88,refute_4_1753]) ).
cnf(refute_4_1755,plain,
( e10 = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_4_1752,refute_4_1754]) ).
cnf(refute_4_1756,plain,
( op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_4_1755,refute_4_72]) ).
cnf(refute_4_1757,plain,
( op1(e12,e11) != e12
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e11),e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),op1(e12,e11)),e11) ),[0,1],$fot(e12)]]) ).
cnf(refute_4_1758,plain,
( op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(e11,e11) = e12
| op1(op1(e12,e11),e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_4_1756,refute_4_1757]) ).
cnf(refute_4_1759,plain,
( op1(e11,e11) = e12
| op1(op1(e12,e11),e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),op1(e12,e11)),e11) )],[refute_4_1750,refute_4_1758]) ).
cnf(refute_4_1760,plain,
( op1(e12,e11) != e12
| op1(op1(e12,e11),e12) != e11
| op1(e12,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),e11) ),[0,0],$fot(e12)]]) ).
cnf(refute_4_1761,plain,
( op1(op1(e12,e11),e12) != e11
| op1(e11,e11) = e12
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_4_1756,refute_4_1760]) ).
cnf(refute_4_1762,plain,
( op1(e11,e11) = e12
| op1(e12,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),e11) )],[refute_4_1759,refute_4_1761]) ).
cnf(refute_4_1763,plain,
( op1(e12,e12) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(e11,op1(e12,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e12) ),[0,0],$fot(e11)]]) ).
cnf(refute_4_1764,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(e11,e11) = e12
| op1(e11,op1(e12,e12)) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_4_1762,refute_4_1763]) ).
cnf(refute_4_1765,plain,
( op1(e11,e11) = e12
| op1(e11,op1(e12,e12)) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e12) )],[refute_4_1748,refute_4_1764]) ).
cnf(refute_4_1766,plain,
( op1(e11,op1(e12,e12)) != e12
| op1(e12,e12) != e11
| op1(e11,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e12)),e12) ),[0,1],$fot(e11)]]) ).
cnf(refute_4_1767,plain,
( op1(e11,op1(e12,e12)) != e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_4_1762,refute_4_1766]) ).
cnf(refute_4_1768,plain,
( op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),e12) )],[refute_4_1765,refute_4_1767]) ).
cnf(refute_4_1769,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_4_192]) ).
cnf(refute_4_1770,plain,
( op1(e12,e11) != e13
| op1(e12,e13) != e13
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_4_1771,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e12,e13)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_4_471,refute_4_1770]) ).
cnf(refute_4_1772,plain,
( op1(e12,e11) != e13
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_4_1771,refute_4_1769]) ).
cnf(refute_4_1773,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_4_1050,refute_4_1772]) ).
cnf(refute_4_1774,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_4_408,refute_4_1773]) ).
cnf(refute_4_1775,plain,
( op1(e11,e13) != e10
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_4_1774,refute_4_476]) ).
cnf(refute_4_1776,plain,
( op1(e11,e13) != e10
| op1(e10,e11) = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_4_1775,refute_4_454]) ).
cnf(refute_4_1777,plain,
( e10 != e10
| op1(e10,e10) = e13
| op1(e11,e13) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_4_1521,refute_4_488]) ).
cnf(refute_4_1778,plain,
( e10 != e10
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_4_1777,refute_4_1776]) ).
cnf(refute_4_1779,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_4_491,refute_4_1778]) ).
cnf(refute_4_1780,plain,
( op1(e11,e11) != e12
| op1(e11,e11) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e13)]]) ).
cnf(refute_4_1781,plain,
( op1(e11,e11) != e12
| e13 = e12
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_4_1779,refute_4_1780]) ).
cnf(refute_4_1782,plain,
( e13 = e12
| op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_4_1768,refute_4_1781]) ).
cnf(refute_4_1783,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_4_1784,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_4_1783,refute_4_1097]) ).
cnf(refute_4_1785,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_4_1782,refute_4_1784]) ).
cnf(refute_4_1786,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(e13) = op2(e20,e21)
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_4_1785,refute_4_1054]) ).
cnf(refute_4_1787,plain,
( h4(e13) = op2(e20,e21)
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_4_335,refute_4_1786]) ).
cnf(refute_4_1788,plain,
( e23 = op2(e20,e21)
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e21)) )],[refute_4_1787,refute_4_1058]) ).
cnf(refute_4_1789,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_4_193]) ).
cnf(refute_4_1790,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_4_1789,refute_4_836]) ).
cnf(refute_4_1791,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_4_194]) ).
cnf(refute_4_1792,plain,
( op2(e23,e21) != e21
| op2(e23,e23) != e21
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_4_1793,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_126,refute_4_1792]) ).
cnf(refute_4_1794,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_4_1793,refute_4_1791]) ).
cnf(refute_4_1795,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_4_1790,refute_4_1794]) ).
cnf(refute_4_1796,plain,
( e21 != h3(e11)
| op2(e22,e21) != e21
| op2(e22,e21) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[1],$fot(h3(e11))]]) ).
cnf(refute_4_1797,plain,
( e21 != h3(e11)
| h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_4_1795,refute_4_1796]) ).
cnf(refute_4_1798,plain,
( e21 != h3(e11)
| h2(e11) = e21
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),h3(e11)) )],[refute_4_1797,refute_4_918]) ).
cnf(refute_4_1799,plain,
( h1(e11) != e21
| h1(e11) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_299,refute_4_1587]) ).
cnf(refute_4_1800,plain,
( h1(e11) != e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_4_1799,refute_4_232]) ).
cnf(refute_4_1801,plain,
( op1(e11,e11) != e12
| e11 = e12
| op1(e11,e10) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_4_423,refute_4_1010]) ).
cnf(refute_4_1802,plain,
( e11 = e12
| op1(e11,e10) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_4_1768,refute_4_1801]) ).
cnf(refute_4_1803,plain,
( op1(e11,e10) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_4_1802,refute_4_1014]) ).
cnf(refute_4_1804,plain,
( h4(e11) != op2(e21,e20)
| h4(op1(e11,e10)) = op2(e21,e20)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_4_1803,refute_4_536]) ).
cnf(refute_4_1805,plain,
( h4(e11) != op2(e21,e20)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) )],[refute_4_1804,refute_4_139]) ).
cnf(refute_4_1806,plain,
( e21 != op2(e21,e20)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e20)) )],[refute_4_540,refute_4_1805]) ).
cnf(refute_4_1807,plain,
( e21 != e21
| h1(e11) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_4_634,refute_4_1806]) ).
cnf(refute_4_1808,plain,
( e21 != e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_4_1807,refute_4_1800]) ).
cnf(refute_4_1809,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_1808]) ).
cnf(refute_4_1810,plain,
( ~ definitionFOFtoCNF_3
| op2(h2(e11),h2(e11)) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_4_1809,refute_4_1584]) ).
cnf(refute_4_1811,plain,
( op2(h2(e11),h2(e11)) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_4_961,refute_4_1810]) ).
cnf(refute_4_1812,plain,
( h2(e11) != e23
| op2(e20,e21) != e23
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),h2(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_4_1813,plain,
( op2(e20,e21) != e23
| h2(e11) = e21
| h2(e11) = e22
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_4_849,refute_4_1812]) ).
cnf(refute_4_1814,plain,
( op2(e20,e21) != e23
| h2(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_4_1813,refute_4_718]) ).
cnf(refute_4_1815,plain,
( op1(e10,e10) = e13
| op2(e20,e21) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_4_1788,refute_4_1060]) ).
cnf(refute_4_1816,plain,
( e23 != e23
| op1(e10,e10) = e13
| op2(e20,e21) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_1815,refute_4_1598]) ).
cnf(refute_4_1817,plain,
( e23 != e23
| h2(e11) = e21
| h2(e11) = e22
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_1816,refute_4_1814]) ).
cnf(refute_4_1818,plain,
( h2(e11) = e21
| h2(e11) = e22
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_209,refute_4_1817]) ).
cnf(refute_4_1819,plain,
( op1(e10,e10) != e13
| e10 = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_4_1746,refute_4_1402]) ).
cnf(refute_4_1820,plain,
( e10 = e13
| h2(e11) = e21
| h2(e11) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_4_1818,refute_4_1819]) ).
cnf(refute_4_1821,plain,
( h2(e11) = e21
| h2(e11) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_4_1820,refute_4_502]) ).
cnf(refute_4_1822,plain,
( h2(e11) != e22
| op2(h2(e11),h2(e11)) != e21
| op2(h2(e11),e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),h2(e11)),e21) ),[0,1],$fot(e22)]]) ).
cnf(refute_4_1823,plain,
( op2(h2(e11),h2(e11)) != e21
| h2(e11) = e21
| op2(h2(e11),e22) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_4_1821,refute_4_1822]) ).
cnf(refute_4_1824,plain,
( h2(e11) = e21
| op2(h2(e11),e22) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),h2(e11)),e21) )],[refute_4_1811,refute_4_1823]) ).
cnf(refute_4_1825,plain,
( h2(e11) != e22
| op2(h2(e11),e22) != e21
| op2(e22,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e22),e21) ),[0,0],$fot(e22)]]) ).
cnf(refute_4_1826,plain,
( op2(h2(e11),e22) != e21
| h2(e11) = e21
| op2(e22,e22) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_4_1821,refute_4_1825]) ).
cnf(refute_4_1827,plain,
( h2(e11) = e21
| op2(e22,e22) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e22),e21) )],[refute_4_1824,refute_4_1826]) ).
cnf(refute_4_1828,plain,
( h2(e11) = e21
| h3(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_4_1827,refute_4_908]) ).
cnf(refute_4_1829,plain,
( e21 != e21
| e21 = h3(e11)
| h2(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_4_1828,refute_4_1076]) ).
cnf(refute_4_1830,plain,
( e21 != e21
| h2(e11) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_4_1829,refute_4_1798]) ).
cnf(refute_4_1831,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_1830]) ).
cnf(refute_4_1832,plain,
( e23 != op2(e20,e21)
| op2(e20,e21) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_4_1833,plain,
( e23 != op2(e20,e21)
| e23 = e21
| h2(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_1831,refute_4_1832]) ).
cnf(refute_4_1834,plain,
( e23 = e21
| h2(e11) = e21
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_4_1788,refute_4_1833]) ).
cnf(refute_4_1835,plain,
( h2(e11) = e21
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_4_1834,refute_4_940]) ).
cnf(refute_4_1836,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0],$fot(e13)]]) ).
cnf(refute_4_1837,plain,
( op1(e10,e10) != e10
| e13 = e10
| h2(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_4_1835,refute_4_1836]) ).
cnf(refute_4_1838,plain,
( e13 = e10
| h2(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_4_1746,refute_4_1837]) ).
cnf(refute_4_1839,plain,
( h2(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_4_1838,refute_4_1548]) ).
cnf(refute_4_1840,plain,
( e21 != e21
| e21 = h2(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_4_1839,refute_4_857]) ).
cnf(refute_4_1841,plain,
( e21 != e21
| op1(e10,e11) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_4_1840,refute_4_1435]) ).
cnf(refute_4_1842,plain,
( op1(e10,e11) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_316,refute_4_1841]) ).
cnf(refute_4_1843,plain,
( op1(e10,e10) != e13
| op1(e10,e11) != e13
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_4_1844,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = op1(e10,e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_4_1842,refute_4_1843]) ).
cnf(refute_4_1845,plain,
( op1(e10,e10) != e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_4_1844,refute_4_1433]) ).
cnf(refute_4_1846,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_4_195]) ).
cnf(refute_4_1847,plain,
( e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_4_1846,refute_4_1095]) ).
cnf(refute_4_1848,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_4_1849,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_79,refute_4_1848]) ).
cnf(refute_4_1850,plain,
( e11 = e13
| e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_4_1847,refute_4_1849]) ).
cnf(refute_4_1851,plain,
( e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_4_1850,refute_4_452]) ).
cnf(refute_4_1852,plain,
( op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_4_1851,refute_4_1097]) ).
cnf(refute_4_1853,plain,
( op1(e12,e13) != e13
| op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(op1(e12,e13),e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_4_1854,plain,
( op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e11,e13) = e13
| op1(op1(e12,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_4_1852,refute_4_1853]) ).
cnf(refute_4_1855,plain,
( op1(e11,e13) = e13
| op1(op1(e12,e13),e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) )],[refute_4_1506,refute_4_1854]) ).
cnf(refute_4_1856,plain,
( op1(e12,e13) != e13
| op1(op1(e12,e13),e13) != e13
| op1(e13,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_4_1857,plain,
( op1(op1(e12,e13),e13) != e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_4_1852,refute_4_1856]) ).
cnf(refute_4_1858,plain,
( op1(e11,e13) = e13
| op1(e13,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),e13) )],[refute_4_1855,refute_4_1857]) ).
cnf(refute_4_1859,plain,
( e11 = e13
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_4_1858,refute_4_1849]) ).
cnf(refute_4_1860,plain,
( op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_4_1859,refute_4_452]) ).
cnf(refute_4_1861,plain,
( op1(e11,e13) != e10
| e13 = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_4_1860,refute_4_1544]) ).
cnf(refute_4_1862,plain,
( e13 = e10
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_4_1521,refute_4_1861]) ).
cnf(refute_4_1863,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_4_1862,refute_4_1548]) ).
cnf(refute_4_1864,plain,
( e13 != e13
| op1(e10,e10) != e13
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(e13)]]) ).
cnf(refute_4_1865,plain,
( e13 != e13
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_4_1863,refute_4_1864]) ).
cnf(refute_4_1866,plain,
( e13 != e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_4_1865,refute_4_1845]) ).
cnf(refute_4_1867,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_4_408,refute_4_1866]) ).
cnf(refute_4_1868,plain,
op1(op1(e11,e13),op1(e11,e13)) = e13,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_4_1867,refute_4_1432]) ).
cnf(refute_4_1869,plain,
( op1(e11,e13) != e13
| op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(op1(e11,e13),e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_4_1870,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(e11,e13) = e10
| op1(op1(e11,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_4_487,refute_4_1869]) ).
cnf(refute_4_1871,plain,
( op1(e11,e13) = e10
| op1(op1(e11,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) )],[refute_4_1868,refute_4_1870]) ).
cnf(refute_4_1872,plain,
( op1(e11,e13) != e13
| op1(op1(e11,e13),e13) != e13
| op1(e13,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_4_1873,plain,
( op1(op1(e11,e13),e13) != e13
| op1(e11,e13) = e10
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_4_487,refute_4_1872]) ).
cnf(refute_4_1874,plain,
( op1(e11,e13) = e10
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),e13) )],[refute_4_1871,refute_4_1873]) ).
cnf(refute_4_1875,plain,
( e11 = e13
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_4_1874,refute_4_1849]) ).
cnf(refute_4_1876,plain,
op1(e11,e13) = e10,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_4_1875,refute_4_452]) ).
cnf(refute_4_1877,plain,
op1(e10,op1(e11,e13)) = op1(e10,op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e11,e13)))]]) ).
cnf(refute_4_1878,plain,
( op1(e10,op1(e11,e13)) != op1(e10,op1(e11,e13))
| op1(e11,e13) != e10
| op1(e10,op1(e11,e13)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,op1(e11,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_4_1879,plain,
( op1(e11,e13) != e10
| op1(e10,op1(e11,e13)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,op1(e11,e13))) )],[refute_4_1877,refute_4_1878]) ).
cnf(refute_4_1880,plain,
op1(e10,op1(e11,e13)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_4_1876,refute_4_1879]) ).
cnf(refute_4_1881,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(op1(e11,e13),op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e11,e13),op1(e11,e13)))]]) ).
cnf(refute_4_1882,plain,
( op1(e11,e13) != e10
| op1(op1(e11,e13),op1(e11,e13)) != op1(op1(e11,e13),op1(e11,e13))
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(op1(e11,e13),op1(e11,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_4_1883,plain,
( op1(e11,e13) != e10
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(op1(e11,e13),op1(e11,e13))) )],[refute_4_1881,refute_4_1882]) ).
cnf(refute_4_1884,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_4_1876,refute_4_1883]) ).
cnf(refute_4_1885,plain,
( op1(e10,op1(e11,e13)) != op1(e10,e10)
| op1(op1(e11,e13),op1(e11,e13)) != op1(e10,op1(e11,e13))
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10) ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op1(op1(e11,e13),op1(e11,e13)))),bind(Y,$fot(op1(e10,op1(e11,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_4_1886,plain,
( op1(e10,op1(e11,e13)) != op1(e10,e10)
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(e10,op1(e11,e13))) )],[refute_4_1884,refute_4_1885]) ).
cnf(refute_4_1887,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,e10)) )],[refute_4_1880,refute_4_1886]) ).
cnf(refute_4_1888,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(op1(e11,e13),op1(e11,e13)) != op1(e10,e10)
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_4_1889,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(e10,e10)) )],[refute_4_1887,refute_4_1888]) ).
cnf(refute_4_1890,plain,
op1(e10,e10) = e13,
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) )],[refute_4_1868,refute_4_1889]) ).
cnf(refute_4_1891,plain,
h4(op1(e10,e10)) = h4(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).
cnf(refute_4_1892,plain,
( h4(op1(e10,e10)) != h4(op1(e10,e10))
| op1(e10,e10) != e13
| h4(op1(e10,e10)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) ),[1,0],$fot(e13)]]) ).
cnf(refute_4_1893,plain,
( op1(e10,e10) != e13
| h4(op1(e10,e10)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_4_1891,refute_4_1892]) ).
cnf(refute_4_1894,plain,
h4(op1(e10,e10)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_4_1890,refute_4_1893]) ).
cnf(refute_4_1895,plain,
( h4(e13) != e23
| h4(op1(e10,e10)) != h4(e13)
| h4(op1(e10,e10)) = e23 ),
inference(subst,[],[refute_4_41:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_4_1896,plain,
( h4(e13) != e23
| h4(op1(e10,e10)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e13)) )],[refute_4_1894,refute_4_1895]) ).
cnf(refute_4_1897,plain,
h4(op1(e10,e10)) = e23,
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_4_51,refute_4_1896]) ).
cnf(refute_4_1898,plain,
( h4(op1(e10,e10)) != e23
| h4(op1(e10,e10)) != h1(e11)
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_4_1899,plain,
( h4(op1(e10,e10)) != h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e23) )],[refute_4_1897,refute_4_1898]) ).
cnf(refute_4_1900,plain,
e23 = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_4_50,refute_4_1899]) ).
cnf(refute_4_1901,plain,
h1(e11) = e23,
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_4_1900,refute_4_1562]) ).
cnf(refute_4_1902,plain,
op2(e20,h1(e11)) = op2(e20,h1(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h1(e11)))]]) ).
cnf(refute_4_1903,plain,
( h1(e11) != e23
| op2(e20,h1(e11)) != op2(e20,h1(e11))
| op2(e20,h1(e11)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_1904,plain,
( h1(e11) != e23
| op2(e20,h1(e11)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,h1(e11))) )],[refute_4_1902,refute_4_1903]) ).
cnf(refute_4_1905,plain,
op2(e20,h1(e11)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_4_1901,refute_4_1904]) ).
cnf(refute_4_1906,plain,
( op2(e20,e23) != e22
| op2(e20,h1(e11)) != op2(e20,e23)
| op2(e20,h1(e11)) = e22 ),
inference(subst,[],[refute_4_41:[bind(X,$fot(op2(e20,h1(e11)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_4_1907,plain,
( op2(e20,e23) != e22
| op2(e20,h1(e11)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,e23)) )],[refute_4_1905,refute_4_1906]) ).
cnf(refute_4_1908,plain,
op2(e20,h1(e11)) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_26,refute_4_1907]) ).
cnf(refute_4_1909,plain,
( h1(e10) != op2(e20,h1(e11))
| op2(e20,h1(e11)) != e22
| h1(e10) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e22) ),[0],$fot(op2(e20,h1(e11)))]]) ).
cnf(refute_4_1910,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),e22) )],[refute_4_1908,refute_4_1909]) ).
cnf(refute_4_1911,plain,
h1(e10) = e22,
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_4_13,refute_4_1910]) ).
cnf(refute_4_1912,plain,
$false,
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_4_1911,refute_4_1410]) ).
fof(negate_5_0,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 )
& ( 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)) ),
inference(negate,[],[subgoal_5]) ).
fof(normalize_5_0,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_5_1,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_2,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_3,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,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) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_5_4,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_5,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_5_6,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_5_5]) ).
fof(normalize_5_7,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_5_8,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_9,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_10,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_11,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_12,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
& 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))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_5_0]) ).
fof(normalize_5_13,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_5_5]) ).
fof(normalize_5_14,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_5_15,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_5_14]) ).
fof(normalize_5_16,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_5_17,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_5_16]) ).
fof(normalize_5_18,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
& 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))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_5_12,normalize_5_13,normalize_5_15,normalize_5_17]) ).
fof(normalize_5_19,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_5_18]) ).
fof(normalize_5_20,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_5_21,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_5_20]) ).
fof(normalize_5_22,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_5_20]) ).
fof(normalize_5_23,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13 )
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_5_24,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_5_25,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13 ) ) ),
inference(simplify,[],[normalize_5_23,normalize_5_24]) ).
fof(normalize_5_26,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e10),op1(e11,e10)) = e10 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e11),op1(e11,e11)) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e12),op1(e11,e12)) = e12 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 )
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_5_25]) ).
fof(normalize_5_27,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(conjunct,[],[normalize_5_26]) ).
fof(normalize_5_28,plain,
op2(e21,e20) != op2(e21,e21),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_29,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_5_14]) ).
fof(normalize_5_30,plain,
h4(op1(e11,e11)) != op2(h4(e11),h4(e11)),
inference(conjunct,[],[normalize_5_18]) ).
fof(normalize_5_31,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_5_20]) ).
fof(normalize_5_32,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e11),op1(e10,e11)) = e11
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_5_24]) ).
fof(normalize_5_33,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_5_32]) ).
fof(normalize_5_34,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,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) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_5_35,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_36,plain,
( ( 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(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_5_37,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(conjunct,[],[normalize_5_36]) ).
fof(normalize_5_38,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_5_39,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(conjunct,[],[normalize_5_38]) ).
fof(normalize_5_40,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_5_38]) ).
fof(normalize_5_41,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_5_42,plain,
e10 != e12,
inference(conjunct,[],[normalize_5_41]) ).
fof(normalize_5_43,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_44,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_5_38]) ).
fof(normalize_5_45,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_46,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_5_32]) ).
fof(normalize_5_47,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(conjunct,[],[normalize_5_36]) ).
fof(normalize_5_48,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_49,plain,
e11 != e13,
inference(conjunct,[],[normalize_5_41]) ).
fof(normalize_5_50,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_51,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_5_52,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_5_51]) ).
fof(normalize_5_53,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_54,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_55,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(conjunct,[],[normalize_5_36]) ).
fof(normalize_5_56,plain,
op1(e13,e11) != op1(e13,e12),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_57,plain,
e10 != e11,
inference(conjunct,[],[normalize_5_41]) ).
fof(normalize_5_58,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_5_20]) ).
fof(normalize_5_59,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_5_18]) ).
fof(normalize_5_60,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(conjunct,[],[normalize_5_51]) ).
fof(normalize_5_61,plain,
op1(e10,e11) != op1(e10,e13),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_62,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_63,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_64,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_65,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_5_66,plain,
e21 != e23,
inference(conjunct,[],[normalize_5_65]) ).
fof(normalize_5_67,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_68,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_5_36]) ).
fof(normalize_5_69,plain,
e12 != e13,
inference(conjunct,[],[normalize_5_41]) ).
fof(normalize_5_70,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_71,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_5_36]) ).
fof(normalize_5_72,plain,
e10 != e13,
inference(conjunct,[],[normalize_5_41]) ).
fof(normalize_5_73,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(conjunct,[],[normalize_5_18]) ).
fof(normalize_5_74,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_75,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(conjunct,[],[normalize_5_36]) ).
fof(normalize_5_76,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_77,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_5_78,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_5_79,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(simplify,[],[normalize_5_77,normalize_5_78]) ).
fof(normalize_5_80,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e22),op2(e21,e22)) = e22 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_5_79]) ).
fof(normalize_5_81,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(conjunct,[],[normalize_5_80]) ).
fof(normalize_5_82,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e13),op1(e12,e13)) != e13 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_5_83,plain,
( ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e11),op1(e12,e11)) = e11 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e12),op1(e12,e12)) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 )
& ( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e13),op1(e12,e13)) != e13
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_5_82]) ).
fof(normalize_5_84,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e12),op1(e12,e12)) = e12 ),
inference(conjunct,[],[normalize_5_83]) ).
fof(normalize_5_85,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_86,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 )
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_5_87,plain,
( definitionFOFtoCNF_0
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(simplify,[],[normalize_5_86,normalize_5_25,normalize_5_24]) ).
fof(normalize_5_88,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(simplify,[],[normalize_5_87,normalize_5_82]) ).
fof(normalize_5_89,plain,
( ( op1(op1(e13,e10),op1(e13,e10)) = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_5_88]) ).
fof(normalize_5_90,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_5_89]) ).
fof(normalize_5_91,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_5_89]) ).
fof(normalize_5_92,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e11),op1(e12,e11)) = e11 ),
inference(conjunct,[],[normalize_5_83]) ).
fof(normalize_5_93,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(conjunct,[],[normalize_5_36]) ).
fof(normalize_5_94,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e21),op2(e20,e21)) = e21
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_5_78]) ).
fof(normalize_5_95,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_5_94]) ).
fof(normalize_5_96,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_5_16]) ).
fof(normalize_5_97,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_5_16]) ).
fof(normalize_5_98,plain,
h3(e11) = op2(e22,e22),
inference(conjunct,[],[normalize_5_16]) ).
fof(normalize_5_99,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_5_94]) ).
fof(normalize_5_100,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_101,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_102,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_103,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_104,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_5_18]) ).
fof(normalize_5_105,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_106,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_5_51]) ).
fof(normalize_5_107,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_108,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_109,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(conjunct,[],[normalize_5_36]) ).
fof(normalize_5_110,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_111,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_112,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23 ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_5_113,plain,
( ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e22),op2(e22,e22)) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 )
& ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_5_112]) ).
fof(normalize_5_114,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e22),op2(e22,e22)) = e22 ),
inference(conjunct,[],[normalize_5_113]) ).
fof(normalize_5_115,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_5_116,plain,
( definitionFOFtoCNF_3
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_5_115,normalize_5_79,normalize_5_78]) ).
fof(normalize_5_117,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_5_116,normalize_5_112]) ).
fof(normalize_5_118,plain,
( ( op2(op2(e23,e20),op2(e23,e20)) = e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e22
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_5_117]) ).
fof(normalize_5_119,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_5_118]) ).
fof(normalize_5_120,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_5_118]) ).
fof(normalize_5_121,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 ),
inference(conjunct,[],[normalize_5_113]) ).
fof(normalize_5_122,plain,
( ( 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(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_5_123,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(conjunct,[],[normalize_5_122]) ).
fof(normalize_5_124,plain,
e20 != e22,
inference(conjunct,[],[normalize_5_65]) ).
fof(normalize_5_125,plain,
e22 != e23,
inference(conjunct,[],[normalize_5_65]) ).
fof(normalize_5_126,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_127,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_128,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_129,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_130,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 ),
inference(conjunct,[],[normalize_5_80]) ).
fof(normalize_5_131,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_132,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(conjunct,[],[normalize_5_122]) ).
fof(normalize_5_133,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_134,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_135,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_136,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_137,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_138,plain,
op2(e22,e20) != op2(e22,e21),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_139,plain,
op2(e21,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_140,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_141,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_142,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_143,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_144,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(conjunct,[],[normalize_5_122]) ).
fof(normalize_5_145,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_146,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_147,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_148,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_149,plain,
op1(e10,e11) != op1(e10,e12),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_150,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_151,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(conjunct,[],[normalize_5_122]) ).
fof(normalize_5_152,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_5_122]) ).
fof(normalize_5_153,plain,
e20 != e21,
inference(conjunct,[],[normalize_5_65]) ).
fof(normalize_5_154,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_5_51]) ).
fof(normalize_5_155,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_156,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_5_122]) ).
fof(normalize_5_157,plain,
e20 != e23,
inference(conjunct,[],[normalize_5_65]) ).
fof(normalize_5_158,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_5_5]) ).
fof(normalize_5_159,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_160,plain,
op1(e10,e10) != op1(e10,e11),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_161,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e12),op1(e11,e12)) = e12 ),
inference(conjunct,[],[normalize_5_26]) ).
fof(normalize_5_162,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(conjunct,[],[normalize_5_36]) ).
fof(normalize_5_163,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_164,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(conjunct,[],[normalize_5_36]) ).
fof(normalize_5_165,plain,
op1(e12,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_166,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_167,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_5_36]) ).
fof(normalize_5_168,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_169,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_5_51]) ).
fof(normalize_5_170,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_171,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_5_51]) ).
fof(normalize_5_172,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_173,plain,
op1(e13,e10) != op1(e13,e11),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_174,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(conjunct,[],[normalize_5_51]) ).
cnf(refute_5_0,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_5_1]) ).
cnf(refute_5_1,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_5_2]) ).
cnf(refute_5_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_5_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_5_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_5_2,refute_5_3]) ).
cnf(refute_5_5,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_5_6,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_5_1,refute_5_5]) ).
cnf(refute_5_7,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_5_8,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_5_9,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_5_7,refute_5_8]) ).
cnf(refute_5_10,plain,
op2(e23,op2(e23,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_6,refute_5_9]) ).
cnf(refute_5_11,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e21)
| e20 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_5_12,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e21)) )],[refute_5_10,refute_5_11]) ).
cnf(refute_5_13,plain,
e20 = op2(e23,e21),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_5_0,refute_5_12]) ).
cnf(refute_5_14,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_5_4]) ).
cnf(refute_5_15,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_5_6]) ).
cnf(refute_5_16,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_5_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_5_17,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_5_15,refute_5_16]) ).
cnf(refute_5_18,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_5_19,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_5_17,refute_5_18]) ).
cnf(refute_5_20,plain,
h1(e11) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_5_19,refute_5_14]) ).
cnf(refute_5_21,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(canonicalize,[],[normalize_5_8]) ).
cnf(refute_5_22,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_5_9]) ).
cnf(refute_5_23,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_5_10]) ).
cnf(refute_5_24,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_5_25,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_5_0,refute_5_24]) ).
cnf(refute_5_26,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_5_27,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_28,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_5_26,refute_5_27]) ).
cnf(refute_5_29,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_5_25,refute_5_28]) ).
cnf(refute_5_30,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_5_31,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_5_29,refute_5_30]) ).
cnf(refute_5_32,plain,
e22 = op2(e20,e23),
inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),e23)) )],[refute_5_23,refute_5_31]) ).
cnf(refute_5_33,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_5_34,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_5_32,refute_5_33]) ).
cnf(refute_5_35,plain,
( op2(e20,e21) != e22
| op2(e20,e23) != e22
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_5_36,plain,
( op2(e20,e21) != e22
| op2(e20,e21) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_5_34,refute_5_35]) ).
cnf(refute_5_37,plain,
op2(e20,e21) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_5_36,refute_5_22]) ).
cnf(refute_5_38,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_5_21,refute_5_37]) ).
cnf(refute_5_39,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_5_11]) ).
cnf(refute_5_40,plain,
( e20 != op2(e23,e21)
| op2(e23,e21) = e20 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_5_41,plain,
op2(e23,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_5_13,refute_5_40]) ).
cnf(refute_5_42,plain,
( op2(e20,e21) != e20
| op2(e23,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_5_43,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_5_41,refute_5_42]) ).
cnf(refute_5_44,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_5_43,refute_5_39]) ).
cnf(refute_5_45,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_5_38,refute_5_44]) ).
cnf(refute_5_46,plain,
( h1(e11) != e23
| op2(e20,e21) != e23
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_5_47,plain,
( h1(e11) != e23
| h1(e11) = op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_5_45,refute_5_46]) ).
cnf(refute_5_48,plain,
( h1(e11) != e23
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_5_47,refute_5_20]) ).
cnf(refute_5_49,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_5_19]) ).
cnf(refute_5_50,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_5_21]) ).
cnf(refute_5_51,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_5_52,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_5_25,refute_5_51]) ).
cnf(refute_5_53,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_5_50,refute_5_52]) ).
cnf(refute_5_54,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_5_55,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_5_56,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_5_54,refute_5_55]) ).
cnf(refute_5_57,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_5_53,refute_5_56]) ).
cnf(refute_5_58,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_5_59,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_60,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_5_58,refute_5_59]) ).
cnf(refute_5_61,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_5_53,refute_5_60]) ).
cnf(refute_5_62,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_5_63,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_5_4,refute_5_62]) ).
cnf(refute_5_64,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_5_65,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_5_61,refute_5_64]) ).
cnf(refute_5_66,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_5_57,refute_5_65]) ).
cnf(refute_5_67,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_5_68,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_5_66,refute_5_67]) ).
cnf(refute_5_69,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_5_17,refute_5_68]) ).
cnf(refute_5_70,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_5_71,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_5_69,refute_5_70]) ).
cnf(refute_5_72,plain,
h4(op1(e10,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_5_49,refute_5_71]) ).
cnf(refute_5_73,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_5_22]) ).
cnf(refute_5_74,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(canonicalize,[],[normalize_5_27]) ).
cnf(refute_5_75,plain,
op2(e21,e20) != op2(e21,e21),
inference(canonicalize,[],[normalize_5_28]) ).
cnf(refute_5_76,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_5_29]) ).
cnf(refute_5_77,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_5_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_5_78,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_5_76,refute_5_77]) ).
cnf(refute_5_79,plain,
( op2(e21,e20) != h2(e11)
| op2(e21,e21) != h2(e11)
| op2(e21,e20) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e21)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_5_80,plain,
( op2(e21,e20) != h2(e11)
| op2(e21,e20) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_5_78,refute_5_79]) ).
cnf(refute_5_81,plain,
op2(e21,e20) != h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e21)) )],[refute_5_80,refute_5_75]) ).
cnf(refute_5_82,plain,
h4(op1(e11,e11)) != op2(h4(e11),h4(e11)),
inference(canonicalize,[],[normalize_5_30]) ).
cnf(refute_5_83,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_5_31]) ).
cnf(refute_5_84,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_5_85,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_6,refute_5_84]) ).
cnf(refute_5_86,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_5_83,refute_5_85]) ).
cnf(refute_5_87,plain,
op2(e21,h4(e11)) = op2(e21,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e11)))]]) ).
cnf(refute_5_88,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) != op2(e21,h4(e11))
| op2(e21,h4(e11)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_5_89,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) )],[refute_5_87,refute_5_88]) ).
cnf(refute_5_90,plain,
op2(e21,h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_86,refute_5_89]) ).
cnf(refute_5_91,plain,
op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_5_92,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_93,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_5_91,refute_5_92]) ).
cnf(refute_5_94,plain,
op2(h4(e11),h4(e11)) = op2(e21,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_86,refute_5_93]) ).
cnf(refute_5_95,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) != op2(e21,h4(e11))
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,h4(e11)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_5_96,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,h4(e11))) )],[refute_5_94,refute_5_95]) ).
cnf(refute_5_97,plain,
op2(h4(e11),h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,e21)) )],[refute_5_90,refute_5_96]) ).
cnf(refute_5_98,plain,
( op2(e21,e21) != h2(e11)
| op2(h4(e11),h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_5_99,plain,
( op2(e21,e21) != h2(e11)
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,e21)) )],[refute_5_97,refute_5_98]) ).
cnf(refute_5_100,plain,
op2(h4(e11),h4(e11)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_5_78,refute_5_99]) ).
cnf(refute_5_101,plain,
( h4(op1(e11,e11)) != h2(e11)
| op2(h4(e11),h4(e11)) != h2(e11)
| h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) ),[1],$fot(h2(e11))]]) ).
cnf(refute_5_102,plain,
( h4(op1(e11,e11)) != h2(e11)
| h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_5_100,refute_5_101]) ).
cnf(refute_5_103,plain,
h4(op1(e11,e11)) != h2(e11),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_5_102,refute_5_82]) ).
cnf(refute_5_104,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_5_33]) ).
cnf(refute_5_105,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_5_35]) ).
cnf(refute_5_106,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(canonicalize,[],[normalize_5_37]) ).
cnf(refute_5_107,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(canonicalize,[],[normalize_5_39]) ).
cnf(refute_5_108,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_5_40]) ).
cnf(refute_5_109,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = e10 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).
cnf(refute_5_110,plain,
op1(e13,op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_5_108,refute_5_109]) ).
cnf(refute_5_111,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(op1(e13,op1(e13,e13)),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_5_112,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_5_113,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) )],[refute_5_111,refute_5_112]) ).
cnf(refute_5_114,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_5_110,refute_5_113]) ).
cnf(refute_5_115,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) != op1(e10,e13)
| e12 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e13)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_5_116,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| e12 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(e10,e13)) )],[refute_5_114,refute_5_115]) ).
cnf(refute_5_117,plain,
e12 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),e13)) )],[refute_5_107,refute_5_116]) ).
cnf(refute_5_118,plain,
( e12 != op1(e10,e13)
| op1(e10,e13) = e12 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_5_119,plain,
op1(e10,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_5_117,refute_5_118]) ).
cnf(refute_5_120,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_5_121,plain,
( op1(e10,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_5_119,refute_5_120]) ).
cnf(refute_5_122,plain,
( e12 = e10
| op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_5_106,refute_5_121]) ).
cnf(refute_5_123,plain,
e10 != e12,
inference(canonicalize,[],[normalize_5_42]) ).
cnf(refute_5_124,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_5_125,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_5_124,refute_5_123]) ).
cnf(refute_5_126,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_5_122,refute_5_125]) ).
cnf(refute_5_127,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_5_43]) ).
cnf(refute_5_128,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_5_44]) ).
cnf(refute_5_129,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_5_130,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_5_128,refute_5_129]) ).
cnf(refute_5_131,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_5_132,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_5_133,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_5_131,refute_5_132]) ).
cnf(refute_5_134,plain,
op1(e13,op1(e13,e13)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_130,refute_5_133]) ).
cnf(refute_5_135,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e11)
| e10 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_5_136,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e11)) )],[refute_5_134,refute_5_135]) ).
cnf(refute_5_137,plain,
e10 = op1(e13,e11),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_5_108,refute_5_136]) ).
cnf(refute_5_138,plain,
( e10 != op1(e13,e11)
| op1(e13,e11) = e10 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_5_139,plain,
op1(e13,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e11)) )],[refute_5_137,refute_5_138]) ).
cnf(refute_5_140,plain,
( op1(e10,e11) != e10
| op1(e13,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_5_141,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_5_139,refute_5_140]) ).
cnf(refute_5_142,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_5_141,refute_5_127]) ).
cnf(refute_5_143,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_5_126,refute_5_142]) ).
cnf(refute_5_144,plain,
( op1(e10,e12) != e10
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e10,op1(e10,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) ),[0,0],$fot(e10)]]) ).
cnf(refute_5_145,plain,
( op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e10,e10) = e10
| op1(e10,op1(e10,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_5_143,refute_5_144]) ).
cnf(refute_5_146,plain,
( op1(e10,e10) = e10
| op1(e10,op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) )],[refute_5_104,refute_5_145]) ).
cnf(refute_5_147,plain,
( op1(e10,e12) != e10
| op1(e10,op1(e10,e12)) != e12
| op1(e10,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) ),[0,1],$fot(e10)]]) ).
cnf(refute_5_148,plain,
( op1(e10,op1(e10,e12)) != e12
| op1(e10,e10) = e10
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_5_143,refute_5_147]) ).
cnf(refute_5_149,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) )],[refute_5_146,refute_5_148]) ).
cnf(refute_5_150,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_5_45]) ).
cnf(refute_5_151,plain,
( op1(e10,e10) != e12
| op1(e10,e13) != e12
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_5_152,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_5_119,refute_5_151]) ).
cnf(refute_5_153,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_5_152,refute_5_150]) ).
cnf(refute_5_154,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_5_149,refute_5_153]) ).
cnf(refute_5_155,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) != e10
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_5_156,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) = op1(e10,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_5_154,refute_5_155]) ).
cnf(refute_5_157,plain,
( e10 != op1(e10,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_5_156,refute_5_105]) ).
cnf(refute_5_158,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_5_46]) ).
cnf(refute_5_159,plain,
op1(e12,op1(e10,e13)) = op1(e12,op1(e10,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e10,e13)))]]) ).
cnf(refute_5_160,plain,
( op1(e10,e13) != e12
| op1(e12,op1(e10,e13)) != op1(e12,op1(e10,e13))
| op1(e12,op1(e10,e13)) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_5_161,plain,
( op1(e10,e13) != e12
| op1(e12,op1(e10,e13)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) )],[refute_5_159,refute_5_160]) ).
cnf(refute_5_162,plain,
op1(e12,op1(e10,e13)) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_5_119,refute_5_161]) ).
cnf(refute_5_163,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(op1(e10,e13),op1(e10,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e10,e13),op1(e10,e13)))]]) ).
cnf(refute_5_164,plain,
( op1(e10,e13) != e12
| op1(op1(e10,e13),op1(e10,e13)) != op1(op1(e10,e13),op1(e10,e13))
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(op1(e10,e13),op1(e10,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_5_165,plain,
( op1(e10,e13) != e12
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(op1(e10,e13),op1(e10,e13))) )],[refute_5_163,refute_5_164]) ).
cnf(refute_5_166,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_5_119,refute_5_165]) ).
cnf(refute_5_167,plain,
( op1(e12,op1(e10,e13)) != op1(e12,e12)
| op1(op1(e10,e13),op1(e10,e13)) != op1(e12,op1(e10,e13))
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op1(op1(e10,e13),op1(e10,e13)))),bind(Y,$fot(op1(e12,op1(e10,e13)))),bind(Z,$fot(op1(e12,e12)))]]) ).
cnf(refute_5_168,plain,
( op1(e12,op1(e10,e13)) != op1(e12,e12)
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(e12,op1(e10,e13))) )],[refute_5_166,refute_5_167]) ).
cnf(refute_5_169,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,e12)) )],[refute_5_162,refute_5_168]) ).
cnf(refute_5_170,plain,
( op1(op1(e10,e13),op1(e10,e13)) != e13
| op1(op1(e10,e13),op1(e10,e13)) != op1(e12,e12)
| op1(e12,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),e13) ),[0],$fot(op1(e12,e12))]]) ).
cnf(refute_5_171,plain,
( op1(op1(e10,e13),op1(e10,e13)) != e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(e12,e12)) )],[refute_5_169,refute_5_170]) ).
cnf(refute_5_172,plain,
( op1(e12,e12) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),e13) )],[refute_5_158,refute_5_171]) ).
cnf(refute_5_173,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(canonicalize,[],[normalize_5_47]) ).
cnf(refute_5_174,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_5_48]) ).
cnf(refute_5_175,plain,
( op1(e13,e12) != e11
| op1(e13,e13) != e11
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_5_176,plain,
( op1(e13,e12) != e11
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_130,refute_5_175]) ).
cnf(refute_5_177,plain,
op1(e13,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_5_176,refute_5_174]) ).
cnf(refute_5_178,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_5_173,refute_5_177]) ).
cnf(refute_5_179,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[0],$fot(e11)]]) ).
cnf(refute_5_180,plain,
( op1(e12,e12) != e13
| e11 = e13
| op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_5_178,refute_5_179]) ).
cnf(refute_5_181,plain,
( e11 = e13
| op1(e10,e12) = e11
| op1(e11,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_172,refute_5_180]) ).
cnf(refute_5_182,plain,
e11 != e13,
inference(canonicalize,[],[normalize_5_49]) ).
cnf(refute_5_183,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_5_181,refute_5_182]) ).
cnf(refute_5_184,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_5_50]) ).
cnf(refute_5_185,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_5_186,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_172,refute_5_185]) ).
cnf(refute_5_187,plain,
( e13 != op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_5_186,refute_5_184]) ).
cnf(refute_5_188,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_5_52]) ).
cnf(refute_5_189,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_5_53]) ).
cnf(refute_5_190,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_5_191,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_130,refute_5_190]) ).
cnf(refute_5_192,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_5_191,refute_5_189]) ).
cnf(refute_5_193,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_5_188,refute_5_192]) ).
cnf(refute_5_194,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_5_54]) ).
cnf(refute_5_195,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_5_196,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_5_119,refute_5_195]) ).
cnf(refute_5_197,plain,
e12 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_5_196,refute_5_194]) ).
cnf(refute_5_198,plain,
( op1(e12,e13) != e12
| e12 = op1(e12,e13) ),
inference(subst,[],[refute_5_4:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_5_199,plain,
op1(e12,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_5_198,refute_5_197]) ).
cnf(refute_5_200,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_5_193,refute_5_199]) ).
cnf(refute_5_201,plain,
( e13 != e13
| op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_5_202,plain,
( e13 != e13
| e13 = op1(e12,e13)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_5_200,refute_5_201]) ).
cnf(refute_5_203,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_5_202,refute_5_187]) ).
cnf(refute_5_204,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_5_205,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_5_204,refute_5_203]) ).
cnf(refute_5_206,plain,
( op1(e12,e12) != e10
| op1(e12,e13) != e10
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_5_207,plain,
( op1(e12,e12) != e10
| op1(e12,e12) = op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_5_205,refute_5_206]) ).
cnf(refute_5_208,plain,
( op1(e12,e12) != e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_5_207,refute_5_184]) ).
cnf(refute_5_209,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(canonicalize,[],[normalize_5_55]) ).
cnf(refute_5_210,plain,
op1(e13,e11) != op1(e13,e12),
inference(canonicalize,[],[normalize_5_56]) ).
cnf(refute_5_211,plain,
( e10 != op1(e13,e12)
| op1(e13,e11) != e10
| op1(e13,e11) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e10) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_5_212,plain,
( e10 != op1(e13,e12)
| op1(e13,e11) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_5_139,refute_5_211]) ).
cnf(refute_5_213,plain,
e10 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e12)) )],[refute_5_212,refute_5_210]) ).
cnf(refute_5_214,plain,
( op1(e13,e12) != e10
| e10 = op1(e13,e12) ),
inference(subst,[],[refute_5_4:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e10))]]) ).
cnf(refute_5_215,plain,
op1(e13,e12) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_5_214,refute_5_213]) ).
cnf(refute_5_216,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_5_209,refute_5_215]) ).
cnf(refute_5_217,plain,
( e10 != e10
| op1(e12,e12) != e10
| op1(e12,e12) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[1],$fot(e10)]]) ).
cnf(refute_5_218,plain,
( e10 != e10
| op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_5_216,refute_5_217]) ).
cnf(refute_5_219,plain,
( e10 != e10
| op1(e10,e12) = e10
| op1(e11,e12) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_5_218,refute_5_208]) ).
cnf(refute_5_220,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_5_221,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_5_220,refute_5_219]) ).
cnf(refute_5_222,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0],$fot(e10)]]) ).
cnf(refute_5_223,plain,
( op1(e11,e12) != e11
| e10 = e11
| op1(e10,e12) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_5_221,refute_5_222]) ).
cnf(refute_5_224,plain,
( e10 = e11
| op1(e10,e12) = e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_5_183,refute_5_223]) ).
cnf(refute_5_225,plain,
e10 != e11,
inference(canonicalize,[],[normalize_5_57]) ).
cnf(refute_5_226,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_5_224,refute_5_225]) ).
cnf(refute_5_227,plain,
( e10 != e10
| op1(e10,e12) != e10
| e10 = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e10,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_5_228,plain,
( e10 != e10
| e10 = op1(e10,e12)
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_5_226,refute_5_227]) ).
cnf(refute_5_229,plain,
( e10 != e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,op1(e10,e12)) )],[refute_5_228,refute_5_157]) ).
cnf(refute_5_230,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_5_220,refute_5_229]) ).
cnf(refute_5_231,plain,
( op1(e10,e12) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e11,op1(e10,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) ),[0,0],$fot(e11)]]) ).
cnf(refute_5_232,plain,
( op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e11,op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_5_230,refute_5_231]) ).
cnf(refute_5_233,plain,
( op1(e11,op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) )],[refute_5_104,refute_5_232]) ).
cnf(refute_5_234,plain,
( op1(e10,e12) != e11
| op1(e11,op1(e10,e12)) != e12
| op1(e11,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e10,e12)),e12) ),[0,1],$fot(e11)]]) ).
cnf(refute_5_235,plain,
( op1(e11,op1(e10,e12)) != e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_5_230,refute_5_234]) ).
cnf(refute_5_236,plain,
( op1(e11,e11) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e10,e12)),e12) )],[refute_5_233,refute_5_235]) ).
cnf(refute_5_237,plain,
( h4(e12) != h2(e11)
| op1(e11,e11) != e12
| h4(op1(e11,e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e12)]]) ).
cnf(refute_5_238,plain,
( h4(e12) != h2(e11)
| h4(op1(e11,e11)) = h2(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_5_236,refute_5_237]) ).
cnf(refute_5_239,plain,
( h4(e12) != h2(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_5_238,refute_5_103]) ).
cnf(refute_5_240,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_5_58]) ).
cnf(refute_5_241,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_5_242,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_5_29,refute_5_241]) ).
cnf(refute_5_243,plain,
op2(op2(e23,op2(e23,e23)),e23) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_5_34,refute_5_242]) ).
cnf(refute_5_244,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_5_245,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),e22) )],[refute_5_243,refute_5_244]) ).
cnf(refute_5_246,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_5_240,refute_5_245]) ).
cnf(refute_5_247,plain,
( e22 != h2(e11)
| h4(e12) != e22
| h4(e12) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[1],$fot(h2(e11))]]) ).
cnf(refute_5_248,plain,
( e22 != h2(e11)
| h4(e12) = h2(e11) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_5_246,refute_5_247]) ).
cnf(refute_5_249,plain,
( e22 != h2(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e12),h2(e11)) )],[refute_5_248,refute_5_239]) ).
cnf(refute_5_250,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_5_59]) ).
cnf(refute_5_251,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_5_252,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) != op2(e20,h4(e11))
| op2(e20,h4(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_5_253,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_5_251,refute_5_252]) ).
cnf(refute_5_254,plain,
op2(e20,h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_86,refute_5_253]) ).
cnf(refute_5_255,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_5_256,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_257,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_5_255,refute_5_256]) ).
cnf(refute_5_258,plain,
op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_5_53,refute_5_257]) ).
cnf(refute_5_259,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_5_260,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_5_258,refute_5_259]) ).
cnf(refute_5_261,plain,
op2(h4(e10),h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_5_254,refute_5_260]) ).
cnf(refute_5_262,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_5_263,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_5_261,refute_5_262]) ).
cnf(refute_5_264,plain,
h4(op1(e10,e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_5_250,refute_5_263]) ).
cnf(refute_5_265,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(canonicalize,[],[normalize_5_60]) ).
cnf(refute_5_266,plain,
op1(e10,e11) != op1(e10,e13),
inference(canonicalize,[],[normalize_5_61]) ).
cnf(refute_5_267,plain,
( op1(e10,e11) != e12
| op1(e10,e13) != e12
| op1(e10,e11) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_5_268,plain,
( op1(e10,e11) != e12
| op1(e10,e11) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_5_119,refute_5_267]) ).
cnf(refute_5_269,plain,
op1(e10,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_5_268,refute_5_266]) ).
cnf(refute_5_270,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_5_265,refute_5_269]) ).
cnf(refute_5_271,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_5_270,refute_5_142]) ).
cnf(refute_5_272,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op1(e10,e11) != e13
| h4(e13) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0,0],$fot(e13)]]) ).
cnf(refute_5_273,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(e13) = op2(e20,e21)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_5_271,refute_5_272]) ).
cnf(refute_5_274,plain,
( h4(e13) = op2(e20,e21)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_5_264,refute_5_273]) ).
cnf(refute_5_275,plain,
( h4(e13) != e23
| h4(e13) != op2(e20,e21)
| e23 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e20,e21)) ),[0],$fot(e23)]]) ).
cnf(refute_5_276,plain,
( h4(e13) != op2(e20,e21)
| e23 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_5_73,refute_5_275]) ).
cnf(refute_5_277,plain,
( e23 = op2(e20,e21)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e21)) )],[refute_5_274,refute_5_276]) ).
cnf(refute_5_278,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_5_62]) ).
cnf(refute_5_279,plain,
( op2(e20,e21) != h2(e11)
| op2(e21,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_5_280,plain,
( op2(e20,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_5_78,refute_5_279]) ).
cnf(refute_5_281,plain,
op2(e20,e21) != h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_5_280,refute_5_278]) ).
cnf(refute_5_282,plain,
( e23 != h2(e11)
| op2(e20,e21) != e23
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(h2(e11))]]) ).
cnf(refute_5_283,plain,
( e23 != h2(e11)
| op2(e20,e21) = e21
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_5_45,refute_5_282]) ).
cnf(refute_5_284,plain,
( e23 != h2(e11)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_5_283,refute_5_281]) ).
cnf(refute_5_285,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(canonicalize,[],[normalize_5_63]) ).
cnf(refute_5_286,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e11)
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e11))]]) ).
cnf(refute_5_287,plain,
( op2(e21,e21) != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_5_78,refute_5_286]) ).
cnf(refute_5_288,plain,
( h2(e11) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_5_285,refute_5_287]) ).
cnf(refute_5_289,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e11)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_5_290,plain,
( op2(e21,e21) != e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_5_78,refute_5_289]) ).
cnf(refute_5_291,plain,
( h2(e11) = e20
| h2(e11) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_5_288,refute_5_290]) ).
cnf(refute_5_292,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_5_293,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_5_78,refute_5_292]) ).
cnf(refute_5_294,plain,
( h2(e11) = e20
| h2(e11) = e21
| h2(e11) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_5_291,refute_5_293]) ).
cnf(refute_5_295,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_5_296,plain,
( op2(e21,e21) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_5_78,refute_5_295]) ).
cnf(refute_5_297,plain,
( h2(e11) = e20
| h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_5_294,refute_5_296]) ).
cnf(refute_5_298,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_5_64]) ).
cnf(refute_5_299,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_5_300,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_5_78,refute_5_299]) ).
cnf(refute_5_301,plain,
h2(e11) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_5_300,refute_5_298]) ).
cnf(refute_5_302,plain,
( h2(e11) != e20
| op2(e23,e21) != e20
| h2(e11) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_5_303,plain,
( h2(e11) != e20
| h2(e11) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_5_41,refute_5_302]) ).
cnf(refute_5_304,plain,
h2(e11) != e20,
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e21)) )],[refute_5_303,refute_5_301]) ).
cnf(refute_5_305,plain,
( h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_5_297,refute_5_304]) ).
cnf(refute_5_306,plain,
( e23 != e23
| h2(e11) != e23
| e23 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h2(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_5_307,plain,
( e23 != e23
| e23 = h2(e11)
| h2(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_5_305,refute_5_306]) ).
cnf(refute_5_308,plain,
( e23 != e23
| h2(e11) = e21
| h2(e11) = e22
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e23,h2(e11)) )],[refute_5_307,refute_5_284]) ).
cnf(refute_5_309,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_5_310,plain,
( h2(e11) = e21
| h2(e11) = e22
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_309,refute_5_308]) ).
cnf(refute_5_311,plain,
( e23 != op2(e20,e21)
| op2(e20,e21) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_5_312,plain,
( e23 != op2(e20,e21)
| e23 = e21
| h2(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_5_310,refute_5_311]) ).
cnf(refute_5_313,plain,
( e23 = e21
| h2(e11) = e21
| h2(e11) = e22
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_5_277,refute_5_312]) ).
cnf(refute_5_314,plain,
e21 != e23,
inference(canonicalize,[],[normalize_5_66]) ).
cnf(refute_5_315,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_5_316,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_5_315,refute_5_314]) ).
cnf(refute_5_317,plain,
( h2(e11) = e21
| h2(e11) = e22
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_5_313,refute_5_316]) ).
cnf(refute_5_318,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_5_67]) ).
cnf(refute_5_319,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_5_68]) ).
cnf(refute_5_320,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e12)]]) ).
cnf(refute_5_321,plain,
( op1(e10,e13) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_5_119,refute_5_320]) ).
cnf(refute_5_322,plain,
( e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_5_319,refute_5_321]) ).
cnf(refute_5_323,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_5_324,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_130,refute_5_323]) ).
cnf(refute_5_325,plain,
( e11 = e13
| e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_5_322,refute_5_324]) ).
cnf(refute_5_326,plain,
( e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_5_325,refute_5_182]) ).
cnf(refute_5_327,plain,
e12 != e13,
inference(canonicalize,[],[normalize_5_69]) ).
cnf(refute_5_328,plain,
( op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_5_326,refute_5_327]) ).
cnf(refute_5_329,plain,
( e13 != e13
| e13 = op1(e12,e13)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_5_328,refute_5_201]) ).
cnf(refute_5_330,plain,
( e13 != e13
| op1(e11,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_5_329,refute_5_187]) ).
cnf(refute_5_331,plain,
( op1(e11,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_5_204,refute_5_330]) ).
cnf(refute_5_332,plain,
( op1(e11,e11) != e13
| op1(e11,e13) != e13
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_5_333,plain,
( op1(e11,e11) != e13
| op1(e11,e11) = op1(e11,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_5_331,refute_5_332]) ).
cnf(refute_5_334,plain,
( op1(e11,e11) != e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_5_333,refute_5_318]) ).
cnf(refute_5_335,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_5_70]) ).
cnf(refute_5_336,plain,
( op1(e12,e11) != e13
| op1(e12,e12) != e13
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_5_337,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e12,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_172,refute_5_336]) ).
cnf(refute_5_338,plain,
( op1(e12,e11) != e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_5_337,refute_5_335]) ).
cnf(refute_5_339,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_5_71]) ).
cnf(refute_5_340,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).
cnf(refute_5_341,plain,
( op1(e13,e11) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_5_139,refute_5_340]) ).
cnf(refute_5_342,plain,
( e10 = e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_5_339,refute_5_341]) ).
cnf(refute_5_343,plain,
e10 != e13,
inference(canonicalize,[],[normalize_5_72]) ).
cnf(refute_5_344,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_5_342,refute_5_343]) ).
cnf(refute_5_345,plain,
( e13 != e13
| op1(e12,e11) != e13
| op1(e12,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_5_346,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_5_344,refute_5_345]) ).
cnf(refute_5_347,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_5_346,refute_5_338]) ).
cnf(refute_5_348,plain,
( e13 != e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_5_347,refute_5_334]) ).
cnf(refute_5_349,plain,
( op1(e10,e11) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_5_204,refute_5_348]) ).
cnf(refute_5_350,plain,
( op1(e10,e11) != e11
| op1(e10,e11) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e13)]]) ).
cnf(refute_5_351,plain,
( op1(e10,e11) != e11
| e13 = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_5_349,refute_5_350]) ).
cnf(refute_5_352,plain,
( e13 = e11
| h2(e11) = e21
| h2(e11) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_5_317,refute_5_351]) ).
cnf(refute_5_353,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_5_354,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_5_353,refute_5_182]) ).
cnf(refute_5_355,plain,
( h2(e11) = e21
| h2(e11) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_5_352,refute_5_354]) ).
cnf(refute_5_356,plain,
( e22 != e22
| h2(e11) != e22
| e22 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h2(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_5_357,plain,
( e22 != e22
| e22 = h2(e11)
| h2(e11) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_5_355,refute_5_356]) ).
cnf(refute_5_358,plain,
( e22 != e22
| h2(e11) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e22,h2(e11)) )],[refute_5_357,refute_5_249]) ).
cnf(refute_5_359,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_5_360,plain,
( h2(e11) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_5_359,refute_5_358]) ).
cnf(refute_5_361,plain,
( h2(e11) != e21
| op2(e21,e20) != e21
| op2(e21,e20) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),h2(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_5_362,plain,
( op2(e21,e20) != e21
| op2(e21,e20) = h2(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_5_360,refute_5_361]) ).
cnf(refute_5_363,plain,
( op2(e21,e20) != e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e11)) )],[refute_5_362,refute_5_81]) ).
cnf(refute_5_364,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(canonicalize,[],[normalize_5_73]) ).
cnf(refute_5_365,plain,
op2(e21,h4(e10)) = op2(e21,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e10)))]]) ).
cnf(refute_5_366,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) != op2(e21,h4(e10))
| op2(e21,h4(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_5_367,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) )],[refute_5_365,refute_5_366]) ).
cnf(refute_5_368,plain,
op2(e21,h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_5_53,refute_5_367]) ).
cnf(refute_5_369,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_5_370,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_371,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_5_369,refute_5_370]) ).
cnf(refute_5_372,plain,
op2(h4(e11),h4(e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_86,refute_5_371]) ).
cnf(refute_5_373,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) != op2(e21,h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(h4(e11),h4(e10)))),bind(Y,$fot(op2(e21,h4(e10)))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_5_374,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,h4(e10))) )],[refute_5_372,refute_5_373]) ).
cnf(refute_5_375,plain,
op2(h4(e11),h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,e20)) )],[refute_5_368,refute_5_374]) ).
cnf(refute_5_376,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) != op2(e21,e20)
| h4(op1(e11,e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[0],$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_5_377,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,e20)) )],[refute_5_375,refute_5_376]) ).
cnf(refute_5_378,plain,
h4(op1(e11,e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_5_364,refute_5_377]) ).
cnf(refute_5_379,plain,
( h2(e11) != e21
| h4(op1(e11,e11)) != e21
| h4(op1(e11,e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_5_380,plain,
( h4(op1(e11,e11)) != e21
| h4(op1(e11,e11)) = h2(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_5_360,refute_5_379]) ).
cnf(refute_5_381,plain,
( h4(op1(e11,e11)) != e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_5_380,refute_5_103]) ).
cnf(refute_5_382,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_5_74]) ).
cnf(refute_5_383,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(canonicalize,[],[normalize_5_75]) ).
cnf(refute_5_384,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_5_76]) ).
cnf(refute_5_385,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_5_386,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_130,refute_5_385]) ).
cnf(refute_5_387,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_5_386,refute_5_384]) ).
cnf(refute_5_388,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_5_383,refute_5_387]) ).
cnf(refute_5_389,plain,
( op1(e10,e12) != e11
| op1(e11,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_5_390,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_5_388,refute_5_389]) ).
cnf(refute_5_391,plain,
( op1(e10,e12) != e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_5_390,refute_5_382]) ).
cnf(refute_5_392,plain,
( e11 != e11
| op1(e10,e12) != e11
| op1(e10,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_5_393,plain,
( e11 != e11
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_5_230,refute_5_392]) ).
cnf(refute_5_394,plain,
( e11 != e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_5_393,refute_5_391]) ).
cnf(refute_5_395,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_5_396,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_5_395,refute_5_394]) ).
cnf(refute_5_397,plain,
( h4(e11) != e21
| op1(e11,e11) != e11
| h4(op1(e11,e11)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_5_398,plain,
( h4(e11) != e21
| h4(op1(e11,e11)) = e21
| op1(e11,e10) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_5_396,refute_5_397]) ).
cnf(refute_5_399,plain,
( h4(e11) != e21
| op1(e11,e10) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e21) )],[refute_5_398,refute_5_381]) ).
cnf(refute_5_400,plain,
( e21 != e21
| h4(e11) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_5_401,plain,
( e21 != e21
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_86,refute_5_400]) ).
cnf(refute_5_402,plain,
( e21 != e21
| op1(e11,e10) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_401,refute_5_399]) ).
cnf(refute_5_403,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_5_404,plain,
( op1(e11,e10) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_403,refute_5_402]) ).
cnf(refute_5_405,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| op1(e11,e10) != e11
| h4(e11) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[0,0],$fot(e11)]]) ).
cnf(refute_5_406,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| h4(e11) = op2(e21,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_5_404,refute_5_405]) ).
cnf(refute_5_407,plain,
( h4(e11) = op2(e21,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) )],[refute_5_378,refute_5_406]) ).
cnf(refute_5_408,plain,
( h4(e11) != e21
| h4(e11) != op2(e21,e20)
| e21 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e21,e20)) ),[0],$fot(e21)]]) ).
cnf(refute_5_409,plain,
( h4(e11) != op2(e21,e20)
| e21 = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_86,refute_5_408]) ).
cnf(refute_5_410,plain,
( e21 = op2(e21,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e20)) )],[refute_5_407,refute_5_409]) ).
cnf(refute_5_411,plain,
( e21 != op2(e21,e20)
| op2(e21,e20) = e21 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_5_412,plain,
( op2(e21,e20) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_5_410,refute_5_411]) ).
cnf(refute_5_413,plain,
( e21 != e21
| op2(e21,e20) != e21
| op2(e21,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_5_414,plain,
( e21 != e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_5_412,refute_5_413]) ).
cnf(refute_5_415,plain,
( e21 != e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_5_414,refute_5_363]) ).
cnf(refute_5_416,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_403,refute_5_415]) ).
cnf(refute_5_417,plain,
( ~ definitionFOFtoCNF_0
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_5_416,refute_5_74]) ).
cnf(refute_5_418,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(canonicalize,[],[normalize_5_81]) ).
cnf(refute_5_419,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e12),op1(e12,e12)) = e12 ),
inference(canonicalize,[],[normalize_5_84]) ).
cnf(refute_5_420,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_5_85]) ).
cnf(refute_5_421,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_5_90]) ).
cnf(refute_5_422,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_5_423,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_5_424,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_5_422,refute_5_423]) ).
cnf(refute_5_425,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_130,refute_5_424]) ).
cnf(refute_5_426,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_5_427,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_5_428,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_5_426,refute_5_427]) ).
cnf(refute_5_429,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_130,refute_5_428]) ).
cnf(refute_5_430,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_5_431,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_5_429,refute_5_430]) ).
cnf(refute_5_432,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_5_425,refute_5_431]) ).
cnf(refute_5_433,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e13
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| op1(e11,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e13) ),[0],$fot(op1(e11,e11))]]) ).
cnf(refute_5_434,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_5_432,refute_5_433]) ).
cnf(refute_5_435,plain,
( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e13) )],[refute_5_421,refute_5_434]) ).
cnf(refute_5_436,plain,
( op1(e10,e11) != e13
| op1(e11,e11) != e13
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_5_437,plain,
( op1(e10,e11) != e13
| op1(e10,e11) = op1(e11,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_5_435,refute_5_436]) ).
cnf(refute_5_438,plain,
( op1(e10,e11) != e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_5_437,refute_5_420]) ).
cnf(refute_5_439,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op1(e10,e11) != e11
| h4(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0,0],$fot(e11)]]) ).
cnf(refute_5_440,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(e11) = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_5_271,refute_5_439]) ).
cnf(refute_5_441,plain,
( h4(e11) = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_5_264,refute_5_440]) ).
cnf(refute_5_442,plain,
( h4(e11) != e21
| h4(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e20,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_5_443,plain,
( h4(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_86,refute_5_442]) ).
cnf(refute_5_444,plain,
( e21 = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e21)) )],[refute_5_441,refute_5_443]) ).
cnf(refute_5_445,plain,
( h1(e11) != e21
| op2(e20,e21) != e21
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_5_446,plain,
( h1(e11) != e21
| h1(e11) = op2(e20,e21)
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_5_45,refute_5_445]) ).
cnf(refute_5_447,plain,
( h1(e11) != e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_5_446,refute_5_20]) ).
cnf(refute_5_448,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_5_91]) ).
cnf(refute_5_449,plain,
op1(e10,op1(e13,e11)) = op1(e10,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e11)))]]) ).
cnf(refute_5_450,plain,
( op1(e10,op1(e13,e11)) != op1(e10,op1(e13,e11))
| op1(e13,e11) != e10
| op1(e10,op1(e13,e11)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,op1(e13,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_5_451,plain,
( op1(e13,e11) != e10
| op1(e10,op1(e13,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,op1(e13,e11))) )],[refute_5_449,refute_5_450]) ).
cnf(refute_5_452,plain,
op1(e10,op1(e13,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_5_139,refute_5_451]) ).
cnf(refute_5_453,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(op1(e13,e11),op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e11),op1(e13,e11)))]]) ).
cnf(refute_5_454,plain,
( op1(e13,e11) != e10
| op1(op1(e13,e11),op1(e13,e11)) != op1(op1(e13,e11),op1(e13,e11))
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(op1(e13,e11),op1(e13,e11))) ),[1,0],$fot(e10)]]) ).
cnf(refute_5_455,plain,
( op1(e13,e11) != e10
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(op1(e13,e11),op1(e13,e11))) )],[refute_5_453,refute_5_454]) ).
cnf(refute_5_456,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_5_139,refute_5_455]) ).
cnf(refute_5_457,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e10)
| op1(op1(e13,e11),op1(e13,e11)) != op1(e10,op1(e13,e11))
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op1(op1(e13,e11),op1(e13,e11)))),bind(Y,$fot(op1(e10,op1(e13,e11)))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_5_458,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e10)
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(e10,op1(e13,e11))) )],[refute_5_456,refute_5_457]) ).
cnf(refute_5_459,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,e10)) )],[refute_5_452,refute_5_458]) ).
cnf(refute_5_460,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| op1(op1(e13,e11),op1(e13,e11)) != op1(e10,e10)
| op1(e10,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),e11) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_5_461,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(e10,e10)) )],[refute_5_459,refute_5_460]) ).
cnf(refute_5_462,plain,
( op1(e10,e10) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),e11) )],[refute_5_448,refute_5_461]) ).
cnf(refute_5_463,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e11
| h4(e11) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e11)]]) ).
cnf(refute_5_464,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e11) = h1(e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_5_462,refute_5_463]) ).
cnf(refute_5_465,plain,
( h4(e11) = h1(e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_5_72,refute_5_464]) ).
cnf(refute_5_466,plain,
( h4(e11) != e21
| h4(e11) != h1(e11)
| e21 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h1(e11)) ),[0],$fot(e21)]]) ).
cnf(refute_5_467,plain,
( h4(e11) != h1(e11)
| e21 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_86,refute_5_466]) ).
cnf(refute_5_468,plain,
( e21 = h1(e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_5_465,refute_5_467]) ).
cnf(refute_5_469,plain,
( e21 != h1(e11)
| h1(e11) = e21 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e21)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_5_470,plain,
( h1(e11) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e21,h1(e11)) )],[refute_5_468,refute_5_469]) ).
cnf(refute_5_471,plain,
( e21 != e21
| h1(e11) != e21
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_5_472,plain,
( e21 != e21
| h1(e11) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_5_470,refute_5_471]) ).
cnf(refute_5_473,plain,
( e21 != e21
| op2(e20,e21) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_5_472,refute_5_447]) ).
cnf(refute_5_474,plain,
( op2(e20,e21) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_403,refute_5_473]) ).
cnf(refute_5_475,plain,
( e21 != op2(e20,e21)
| op2(e20,e21) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e23) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_5_476,plain,
( e21 != op2(e20,e21)
| e21 = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_5_474,refute_5_475]) ).
cnf(refute_5_477,plain,
( e21 = e23
| op1(e10,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_5_444,refute_5_476]) ).
cnf(refute_5_478,plain,
( op1(e10,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_5_477,refute_5_314]) ).
cnf(refute_5_479,plain,
( e13 != e13
| op1(e10,e11) != e13
| op1(e10,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_5_480,plain,
( e13 != e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_5_478,refute_5_479]) ).
cnf(refute_5_481,plain,
( e13 != e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_5_480,refute_5_438]) ).
cnf(refute_5_482,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_5_204,refute_5_481]) ).
cnf(refute_5_483,plain,
( op1(op1(e12,e12),op1(e12,e12)) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_5_482,refute_5_419]) ).
cnf(refute_5_484,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e11),op1(e12,e11)) = e11 ),
inference(canonicalize,[],[normalize_5_92]) ).
cnf(refute_5_485,plain,
( op1(op1(e12,e11),op1(e12,e11)) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_5_482,refute_5_484]) ).
cnf(refute_5_486,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(canonicalize,[],[normalize_5_93]) ).
cnf(refute_5_487,plain,
( op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_5_486,refute_5_269]) ).
cnf(refute_5_488,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_5_489,plain,
( op1(e13,e11) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_5_139,refute_5_488]) ).
cnf(refute_5_490,plain,
( e10 = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_5_487,refute_5_489]) ).
cnf(refute_5_491,plain,
( op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_5_490,refute_5_123]) ).
cnf(refute_5_492,plain,
( op1(e12,e11) != e12
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e11),e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),op1(e12,e11)),e11) ),[0,1],$fot(e12)]]) ).
cnf(refute_5_493,plain,
( op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(e11,e11) = e12
| op1(op1(e12,e11),e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_5_491,refute_5_492]) ).
cnf(refute_5_494,plain,
( op1(e11,e11) = e12
| op1(op1(e12,e11),e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),op1(e12,e11)),e11) )],[refute_5_485,refute_5_493]) ).
cnf(refute_5_495,plain,
( op1(e12,e11) != e12
| op1(op1(e12,e11),e12) != e11
| op1(e12,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),e11) ),[0,0],$fot(e12)]]) ).
cnf(refute_5_496,plain,
( op1(op1(e12,e11),e12) != e11
| op1(e11,e11) = e12
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_5_491,refute_5_495]) ).
cnf(refute_5_497,plain,
( op1(e11,e11) = e12
| op1(e12,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),e11) )],[refute_5_494,refute_5_496]) ).
cnf(refute_5_498,plain,
( op1(e12,e12) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e12),e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e12) ),[0,1],$fot(e11)]]) ).
cnf(refute_5_499,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(e11,e11) = e12
| op1(op1(e12,e12),e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_5_497,refute_5_498]) ).
cnf(refute_5_500,plain,
( op1(e11,e11) = e12
| op1(op1(e12,e12),e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e12) )],[refute_5_483,refute_5_499]) ).
cnf(refute_5_501,plain,
( op1(e12,e12) != e11
| op1(op1(e12,e12),e11) != e12
| op1(e11,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e11),e12) ),[0,0],$fot(e11)]]) ).
cnf(refute_5_502,plain,
( op1(op1(e12,e12),e11) != e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_5_497,refute_5_501]) ).
cnf(refute_5_503,plain,
( op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e11),e12) )],[refute_5_500,refute_5_502]) ).
cnf(refute_5_504,plain,
( h4(e12) != h2(e11)
| h4(op1(e11,e11)) = h2(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_5_503,refute_5_237]) ).
cnf(refute_5_505,plain,
( h4(e12) != h2(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_5_504,refute_5_103]) ).
cnf(refute_5_506,plain,
( e22 != h2(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e12),h2(e11)) )],[refute_5_248,refute_5_505]) ).
cnf(refute_5_507,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_5_95]) ).
cnf(refute_5_508,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_5_96]) ).
cnf(refute_5_509,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_5_97]) ).
cnf(refute_5_510,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = h3(e10) ),
inference(subst,[],[refute_5_4:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_5_511,plain,
op2(e22,op2(e22,e22)) = h3(e10),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_5_509,refute_5_510]) ).
cnf(refute_5_512,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_5_513,plain,
( op2(e22,op2(e22,e22)) != h3(e10)
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(h3(e10))]]) ).
cnf(refute_5_514,plain,
( op2(e22,op2(e22,e22)) != h3(e10)
| op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_5_512,refute_5_513]) ).
cnf(refute_5_515,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),h3(e10)) )],[refute_5_511,refute_5_514]) ).
cnf(refute_5_516,plain,
( h3(e12) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != op2(h3(e10),e22)
| h3(e12) = op2(h3(e10),e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(h3(e10),e22)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_5_517,plain,
( h3(e12) != op2(op2(e22,op2(e22,e22)),e22)
| h3(e12) = op2(h3(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(h3(e10),e22)) )],[refute_5_515,refute_5_516]) ).
cnf(refute_5_518,plain,
h3(e12) = op2(h3(e10),e22),
inference(resolve,[$cnf( $equal(h3(e12),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_5_508,refute_5_517]) ).
cnf(refute_5_519,plain,
h3(e11) = op2(e22,e22),
inference(canonicalize,[],[normalize_5_98]) ).
cnf(refute_5_520,plain,
( h3(e11) != op2(e22,e22)
| op2(e22,e22) = h3(e11) ),
inference(subst,[],[refute_5_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_5_521,plain,
op2(e22,e22) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_5_519,refute_5_520]) ).
cnf(refute_5_522,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_5_523,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_5_524,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_5_522,refute_5_523]) ).
cnf(refute_5_525,plain,
op2(e22,op2(e22,e22)) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_5_521,refute_5_524]) ).
cnf(refute_5_526,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) != op2(e22,h3(e11))
| h3(e10) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),op2(e22,h3(e11))) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_5_527,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| h3(e10) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h3(e11))) )],[refute_5_525,refute_5_526]) ).
cnf(refute_5_528,plain,
h3(e10) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_5_509,refute_5_527]) ).
cnf(refute_5_529,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_5_99]) ).
cnf(refute_5_530,plain,
op2(e22,op2(e20,e23)) = op2(e22,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e20,e23)))]]) ).
cnf(refute_5_531,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_5_532,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_5_530,refute_5_531]) ).
cnf(refute_5_533,plain,
op2(e22,op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_5_34,refute_5_532]) ).
cnf(refute_5_534,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(op2(e20,e23),op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),op2(e20,e23)))]]) ).
cnf(refute_5_535,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) != op2(op2(e20,e23),op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) ),[1,0],$fot(e22)]]) ).
cnf(refute_5_536,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) )],[refute_5_534,refute_5_535]) ).
cnf(refute_5_537,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_5_34,refute_5_536]) ).
cnf(refute_5_538,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,op2(e20,e23)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_5_539,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_5_537,refute_5_538]) ).
cnf(refute_5_540,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,e22)) )],[refute_5_533,refute_5_539]) ).
cnf(refute_5_541,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_5_542,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,e22)) )],[refute_5_540,refute_5_541]) ).
cnf(refute_5_543,plain,
op2(op2(e20,e23),op2(e20,e23)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_5_521,refute_5_542]) ).
cnf(refute_5_544,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| op2(op2(e20,e23),op2(e20,e23)) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_5_545,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),h3(e11)) )],[refute_5_543,refute_5_544]) ).
cnf(refute_5_546,plain,
( h3(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) )],[refute_5_529,refute_5_545]) ).
cnf(refute_5_547,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e11) != e23
| h3(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_548,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e10) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_5_546,refute_5_547]) ).
cnf(refute_5_549,plain,
( h3(e10) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) )],[refute_5_528,refute_5_548]) ).
cnf(refute_5_550,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_5_100]) ).
cnf(refute_5_551,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_5_552,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_5_521,refute_5_551]) ).
cnf(refute_5_553,plain,
h3(e11) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_5_552,refute_5_550]) ).
cnf(refute_5_554,plain,
( e23 != op2(e22,e23)
| h3(e11) != e23
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_5_555,plain,
( e23 != op2(e22,e23)
| h3(e11) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_5_546,refute_5_554]) ).
cnf(refute_5_556,plain,
( e23 != op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_5_555,refute_5_553]) ).
cnf(refute_5_557,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_5_101]) ).
cnf(refute_5_558,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_5_102]) ).
cnf(refute_5_559,plain,
( op2(e22,e23) != e21
| op2(e23,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_5_560,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_6,refute_5_559]) ).
cnf(refute_5_561,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_5_560,refute_5_558]) ).
cnf(refute_5_562,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_5_557,refute_5_561]) ).
cnf(refute_5_563,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_5_103]) ).
cnf(refute_5_564,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_5_565,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_5_34,refute_5_564]) ).
cnf(refute_5_566,plain,
e22 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_5_565,refute_5_563]) ).
cnf(refute_5_567,plain,
( op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
inference(subst,[],[refute_5_4:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_5_568,plain,
op2(e22,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_5_567,refute_5_566]) ).
cnf(refute_5_569,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_5_562,refute_5_568]) ).
cnf(refute_5_570,plain,
( e23 != e23
| op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_5_571,plain,
( e23 != e23
| e23 = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_5_569,refute_5_570]) ).
cnf(refute_5_572,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_5_571,refute_5_556]) ).
cnf(refute_5_573,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_309,refute_5_572]) ).
cnf(refute_5_574,plain,
( h3(e10) != op2(e22,e23)
| op2(e22,e23) != e20
| h3(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),e20) ),[0],$fot(op2(e22,e23))]]) ).
cnf(refute_5_575,plain,
( h3(e10) != op2(e22,e23)
| h3(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_5_573,refute_5_574]) ).
cnf(refute_5_576,plain,
( h3(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e23)) )],[refute_5_549,refute_5_575]) ).
cnf(refute_5_577,plain,
( h3(e10) != e20
| h3(e12) != op2(h3(e10),e22)
| h3(e12) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e12),op2(h3(e10),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_578,plain,
( h3(e12) != op2(h3(e10),e22)
| h3(e12) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_5_576,refute_5_577]) ).
cnf(refute_5_579,plain,
( h3(e12) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(h3(e10),e22)) )],[refute_5_518,refute_5_578]) ).
cnf(refute_5_580,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) = h3(e12) ),
inference(subst,[],[refute_5_4:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_5_581,plain,
( op2(e20,e22) = h3(e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_5_579,refute_5_580]) ).
cnf(refute_5_582,plain,
( op2(e20,e22) != h3(e12)
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e22),h3(e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) ),[0,1],$fot(h3(e12))]]) ).
cnf(refute_5_583,plain,
( op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e22),h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e12)) )],[refute_5_581,refute_5_582]) ).
cnf(refute_5_584,plain,
( op2(op2(e20,e22),h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) )],[refute_5_507,refute_5_583]) ).
cnf(refute_5_585,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_5_104]) ).
cnf(refute_5_586,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_5_587,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) != op2(e20,h4(e12))
| op2(e20,h4(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_5_588,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_5_586,refute_5_587]) ).
cnf(refute_5_589,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_5_246,refute_5_588]) ).
cnf(refute_5_590,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_5_591,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_592,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_5_590,refute_5_591]) ).
cnf(refute_5_593,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_5_53,refute_5_592]) ).
cnf(refute_5_594,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_5_595,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_5_593,refute_5_594]) ).
cnf(refute_5_596,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_5_589,refute_5_595]) ).
cnf(refute_5_597,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_5_598,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_5_596,refute_5_597]) ).
cnf(refute_5_599,plain,
h4(op1(e10,e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_5_585,refute_5_598]) ).
cnf(refute_5_600,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e10
| h4(e10) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e10)]]) ).
cnf(refute_5_601,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e10) = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_5_143,refute_5_600]) ).
cnf(refute_5_602,plain,
( h4(e10) = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_5_599,refute_5_601]) ).
cnf(refute_5_603,plain,
( h4(e10) != e20
| h4(e10) != op2(e20,e22)
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e20,e22)) ),[0],$fot(e20)]]) ).
cnf(refute_5_604,plain,
( h4(e10) != op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_5_53,refute_5_603]) ).
cnf(refute_5_605,plain,
( e20 = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e22)) )],[refute_5_602,refute_5_604]) ).
cnf(refute_5_606,plain,
( e20 != op2(e20,e22)
| op2(e20,e22) = e20 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_5_607,plain,
( op1(e10,e10) = e10
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_5_605,refute_5_606]) ).
cnf(refute_5_608,plain,
( op2(e20,e22) != e20
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(e20,op2(e20,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) ),[0,0],$fot(e20)]]) ).
cnf(refute_5_609,plain,
( op2(op2(e20,e22),op2(e20,e22)) != e22
| op1(e10,e10) = e10
| op2(e20,op2(e20,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_5_607,refute_5_608]) ).
cnf(refute_5_610,plain,
( op1(e10,e10) = e10
| op2(e20,op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) )],[refute_5_507,refute_5_609]) ).
cnf(refute_5_611,plain,
( op2(e20,e22) != e20
| op2(e20,op2(e20,e22)) != e22
| op2(e20,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e22)),e22) ),[0,1],$fot(e20)]]) ).
cnf(refute_5_612,plain,
( op2(e20,op2(e20,e22)) != e22
| op1(e10,e10) = e10
| op2(e20,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_5_607,refute_5_611]) ).
cnf(refute_5_613,plain,
( op1(e10,e10) = e10
| op2(e20,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),e22) )],[refute_5_610,refute_5_612]) ).
cnf(refute_5_614,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_5_615,plain,
( op2(e20,e20) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_5_17,refute_5_614]) ).
cnf(refute_5_616,plain,
( h1(e11) = e22
| op1(e10,e10) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_5_613,refute_5_615]) ).
cnf(refute_5_617,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_5_105]) ).
cnf(refute_5_618,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_5_619,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_5_17,refute_5_618]) ).
cnf(refute_5_620,plain,
( h1(e11) != e22
| op2(e20,e23) != e22
| h1(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_5_621,plain,
( h1(e11) != e22
| h1(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_5_34,refute_5_620]) ).
cnf(refute_5_622,plain,
( h1(e11) != e22
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e23)) )],[refute_5_621,refute_5_619]) ).
cnf(refute_5_623,plain,
h1(e11) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_5_622,refute_5_617]) ).
cnf(refute_5_624,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_5_616,refute_5_623]) ).
cnf(refute_5_625,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) = op1(e10,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_5_624,refute_5_155]) ).
cnf(refute_5_626,plain,
( e10 != op1(e10,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_5_625,refute_5_105]) ).
cnf(refute_5_627,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_5_106]) ).
cnf(refute_5_628,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_5_107]) ).
cnf(refute_5_629,plain,
( op1(e10,e12) != e12
| op1(e10,e13) != e12
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_5_630,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_5_119,refute_5_629]) ).
cnf(refute_5_631,plain,
op1(e10,e12) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_5_630,refute_5_628]) ).
cnf(refute_5_632,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_5_627,refute_5_631]) ).
cnf(refute_5_633,plain,
( e10 != e10
| e10 = op1(e10,e12)
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_5_632,refute_5_227]) ).
cnf(refute_5_634,plain,
( e10 != e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e10,op1(e10,e12)) )],[refute_5_633,refute_5_626]) ).
cnf(refute_5_635,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_5_220,refute_5_634]) ).
cnf(refute_5_636,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_5_108]) ).
cnf(refute_5_637,plain,
( op2(e20,e22) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_5_638,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_5_521,refute_5_637]) ).
cnf(refute_5_639,plain,
op2(e20,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_5_638,refute_5_636]) ).
cnf(refute_5_640,plain,
( h3(e11) != e23
| op2(e20,e22) != e23
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h3(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_5_641,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = h3(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_5_546,refute_5_640]) ).
cnf(refute_5_642,plain,
( op2(e20,e22) != e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_5_641,refute_5_639]) ).
cnf(refute_5_643,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e13
| h4(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e13)]]) ).
cnf(refute_5_644,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e13) = op2(e20,e22)
| op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_5_632,refute_5_643]) ).
cnf(refute_5_645,plain,
( h4(e13) = op2(e20,e22)
| op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_5_599,refute_5_644]) ).
cnf(refute_5_646,plain,
( h4(e13) != e23
| h4(e13) != op2(e20,e22)
| e23 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e20,e22)) ),[0],$fot(e23)]]) ).
cnf(refute_5_647,plain,
( h4(e13) != op2(e20,e22)
| e23 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_5_73,refute_5_646]) ).
cnf(refute_5_648,plain,
( e23 = op2(e20,e22)
| op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e22)) )],[refute_5_645,refute_5_647]) ).
cnf(refute_5_649,plain,
( e23 != op2(e20,e22)
| op2(e20,e22) = e23 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_5_650,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e22)) )],[refute_5_648,refute_5_649]) ).
cnf(refute_5_651,plain,
( e23 != e23
| op2(e20,e22) != e23
| op2(e20,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_5_652,plain,
( e23 != e23
| op1(e10,e12) = e10
| op1(e10,e12) = e11
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_5_650,refute_5_651]) ).
cnf(refute_5_653,plain,
( e23 != e23
| op1(e10,e12) = e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_5_652,refute_5_642]) ).
cnf(refute_5_654,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_309,refute_5_653]) ).
cnf(refute_5_655,plain,
( op1(e10,e12) != e10
| op1(e10,e12) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e13) ),[0],$fot(e10)]]) ).
cnf(refute_5_656,plain,
( op1(e10,e12) != e13
| e10 = e13
| op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_5_654,refute_5_655]) ).
cnf(refute_5_657,plain,
( e10 = e13
| op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_5_635,refute_5_656]) ).
cnf(refute_5_658,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_5_657,refute_5_343]) ).
cnf(refute_5_659,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e11
| h4(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e11)]]) ).
cnf(refute_5_660,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e11) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_5_658,refute_5_659]) ).
cnf(refute_5_661,plain,
( h4(e11) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_5_599,refute_5_660]) ).
cnf(refute_5_662,plain,
( h4(e11) != e21
| h4(e11) != op2(e20,e22)
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e20,e22)) ),[0],$fot(e21)]]) ).
cnf(refute_5_663,plain,
( h4(e11) != op2(e20,e22)
| e21 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_86,refute_5_662]) ).
cnf(refute_5_664,plain,
( e21 = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e22)) )],[refute_5_661,refute_5_663]) ).
cnf(refute_5_665,plain,
( e21 != op2(e20,e22)
| op2(e20,e22) = e21 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_5_666,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_5_664,refute_5_665]) ).
cnf(refute_5_667,plain,
( op2(e20,e22) != e21
| op2(op2(e20,e22),h3(e12)) != e22
| op2(e21,h3(e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) ),[0,0],$fot(e21)]]) ).
cnf(refute_5_668,plain,
( op2(op2(e20,e22),h3(e12)) != e22
| op2(e21,h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_5_666,refute_5_667]) ).
cnf(refute_5_669,plain,
( op2(e21,h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) )],[refute_5_584,refute_5_668]) ).
cnf(refute_5_670,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) != e21
| h3(e12) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),e21) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_5_671,plain,
( h3(e12) != op2(e20,e22)
| h3(e12) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_5_666,refute_5_670]) ).
cnf(refute_5_672,plain,
( h3(e12) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_5_579,refute_5_671]) ).
cnf(refute_5_673,plain,
( h3(e12) != e21
| op2(e21,h3(e12)) != e22
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e12)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_5_674,plain,
( op2(e21,h3(e12)) != e22
| op2(e21,e21) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),e21) )],[refute_5_672,refute_5_673]) ).
cnf(refute_5_675,plain,
( op2(e21,e21) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e12)),e22) )],[refute_5_669,refute_5_674]) ).
cnf(refute_5_676,plain,
( h2(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_5_675,refute_5_293]) ).
cnf(refute_5_677,plain,
( e22 != e22
| e22 = h2(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_5_676,refute_5_356]) ).
cnf(refute_5_678,plain,
( e22 != e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,h2(e11)) )],[refute_5_677,refute_5_506]) ).
cnf(refute_5_679,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_5_359,refute_5_678]) ).
cnf(refute_5_680,plain,
( ~ definitionFOFtoCNF_3
| op2(op2(e21,e23),op2(e21,e23)) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_5_679,refute_5_418]) ).
cnf(refute_5_681,plain,
( e21 != op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_5_682,plain,
( op1(e10,e11) = e13
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_5_444,refute_5_681]) ).
cnf(refute_5_683,plain,
( e21 != h2(e11)
| op2(e20,e21) != e21
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(h2(e11))]]) ).
cnf(refute_5_684,plain,
( e21 != h2(e11)
| op1(e10,e11) = e13
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_5_682,refute_5_683]) ).
cnf(refute_5_685,plain,
( e21 != h2(e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_5_684,refute_5_281]) ).
cnf(refute_5_686,plain,
( e22 != e22
| e22 = h2(e11)
| h2(e11) = e21
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_5_305,refute_5_356]) ).
cnf(refute_5_687,plain,
( e22 != e22
| h2(e11) = e21
| h2(e11) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e22,h2(e11)) )],[refute_5_686,refute_5_506]) ).
cnf(refute_5_688,plain,
( h2(e11) = e21
| h2(e11) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_5_359,refute_5_687]) ).
cnf(refute_5_689,plain,
( e21 != e21
| h2(e11) != e21
| e21 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h2(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_5_690,plain,
( e21 != e21
| e21 = h2(e11)
| h2(e11) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_5_688,refute_5_689]) ).
cnf(refute_5_691,plain,
( e21 != e21
| h2(e11) = e23
| op1(e10,e11) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_5_690,refute_5_685]) ).
cnf(refute_5_692,plain,
( h2(e11) = e23
| op1(e10,e11) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_403,refute_5_691]) ).
cnf(refute_5_693,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(canonicalize,[],[normalize_5_109]) ).
cnf(refute_5_694,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_5_110]) ).
cnf(refute_5_695,plain,
( op1(e13,e11) != e11
| op1(e13,e13) != e11
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_5_696,plain,
( op1(e13,e11) != e11
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_130,refute_5_695]) ).
cnf(refute_5_697,plain,
op1(e13,e11) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_5_696,refute_5_694]) ).
cnf(refute_5_698,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_5_693,refute_5_697]) ).
cnf(refute_5_699,plain,
( op1(e12,e11) != e11
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(e11,op1(e12,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),op1(e12,e11)),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_5_700,plain,
( op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e11,op1(e12,e11)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_5_698,refute_5_699]) ).
cnf(refute_5_701,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e11,op1(e12,e11)) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),op1(e12,e11)),e11) )],[refute_5_485,refute_5_700]) ).
cnf(refute_5_702,plain,
( op1(e11,op1(e12,e11)) != e11
| op1(e12,e11) != e11
| op1(e11,e11) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_5_703,plain,
( op1(e11,op1(e12,e11)) != e11
| op1(e10,e11) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_5_698,refute_5_702]) ).
cnf(refute_5_704,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),e11) )],[refute_5_701,refute_5_703]) ).
cnf(refute_5_705,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e11)]]) ).
cnf(refute_5_706,plain,
( op1(e11,e11) != e12
| e11 = e12
| op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_5_704,refute_5_705]) ).
cnf(refute_5_707,plain,
( e11 = e12
| op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_5_503,refute_5_706]) ).
cnf(refute_5_708,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_5_111]) ).
cnf(refute_5_709,plain,
( e12 != op1(e13,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e13,e13))]]) ).
cnf(refute_5_710,plain,
( e12 != op1(e13,e13)
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_5_119,refute_5_709]) ).
cnf(refute_5_711,plain,
( e12 != e11
| op1(e13,e13) != e11
| e12 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_5_712,plain,
( e12 != e11
| e12 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_130,refute_5_711]) ).
cnf(refute_5_713,plain,
( e12 != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_5_712,refute_5_710]) ).
cnf(refute_5_714,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_5_713,refute_5_708]) ).
cnf(refute_5_715,plain,
( e11 != e12
| e12 = e11 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e11)),bind(Y,$fot(e12))]]) ).
cnf(refute_5_716,plain,
e11 != e12,
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_5_715,refute_5_714]) ).
cnf(refute_5_717,plain,
( op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_5_707,refute_5_716]) ).
cnf(refute_5_718,plain,
( op1(e10,e11) != e11
| op1(e10,e11) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e11)]]) ).
cnf(refute_5_719,plain,
( op1(e10,e11) != e13
| e11 = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_5_717,refute_5_718]) ).
cnf(refute_5_720,plain,
( e11 = e13
| h2(e11) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_5_692,refute_5_719]) ).
cnf(refute_5_721,plain,
( h2(e11) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_5_720,refute_5_182]) ).
cnf(refute_5_722,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e22),op2(e22,e22)) = e22 ),
inference(canonicalize,[],[normalize_5_114]) ).
cnf(refute_5_723,plain,
op2(h3(e11),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(h3(e11),op2(e22,e22)))]]) ).
cnf(refute_5_724,plain,
( op2(e22,e22) != h3(e11)
| op2(h3(e11),op2(e22,e22)) != op2(h3(e11),op2(e22,e22))
| op2(h3(e11),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),op2(e22,e22)),op2(h3(e11),op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_5_725,plain,
( op2(e22,e22) != h3(e11)
| op2(h3(e11),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),op2(e22,e22)),op2(h3(e11),op2(e22,e22))) )],[refute_5_723,refute_5_724]) ).
cnf(refute_5_726,plain,
op2(h3(e11),op2(e22,e22)) = op2(h3(e11),h3(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_5_521,refute_5_725]) ).
cnf(refute_5_727,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_5_728,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(h3(e11))]]) ).
cnf(refute_5_729,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_5_727,refute_5_728]) ).
cnf(refute_5_730,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_5_521,refute_5_729]) ).
cnf(refute_5_731,plain,
( op2(h3(e11),op2(e22,e22)) != op2(h3(e11),h3(e11))
| op2(op2(e22,e22),op2(e22,e22)) != op2(h3(e11),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(h3(e11),op2(e22,e22)))),bind(Z,$fot(op2(h3(e11),h3(e11))))]]) ).
cnf(refute_5_732,plain,
( op2(h3(e11),op2(e22,e22)) != op2(h3(e11),h3(e11))
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(h3(e11),op2(e22,e22))) )],[refute_5_730,refute_5_731]) ).
cnf(refute_5_733,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),h3(e11)),
inference(resolve,[$cnf( $equal(op2(h3(e11),op2(e22,e22)),op2(h3(e11),h3(e11))) )],[refute_5_726,refute_5_732]) ).
cnf(refute_5_734,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e22),op2(e22,e22)) != op2(h3(e11),h3(e11))
| op2(h3(e11),h3(e11)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e22) ),[0],$fot(op2(h3(e11),h3(e11)))]]) ).
cnf(refute_5_735,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(h3(e11),h3(e11)) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(h3(e11),h3(e11))) )],[refute_5_733,refute_5_734]) ).
cnf(refute_5_736,plain,
( ~ definitionFOFtoCNF_5
| op2(h3(e11),h3(e11)) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e22) )],[refute_5_722,refute_5_735]) ).
cnf(refute_5_737,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_5_119]) ).
cnf(refute_5_738,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_5_739,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_5_740,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_5_738,refute_5_739]) ).
cnf(refute_5_741,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_6,refute_5_740]) ).
cnf(refute_5_742,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_5_743,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_744,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_5_742,refute_5_743]) ).
cnf(refute_5_745,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_6,refute_5_744]) ).
cnf(refute_5_746,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_5_747,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_5_745,refute_5_746]) ).
cnf(refute_5_748,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_5_741,refute_5_747]) ).
cnf(refute_5_749,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_5_750,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_5_748,refute_5_749]) ).
cnf(refute_5_751,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_5_78,refute_5_750]) ).
cnf(refute_5_752,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_5_753,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_5_751,refute_5_752]) ).
cnf(refute_5_754,plain,
( h2(e11) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) )],[refute_5_737,refute_5_753]) ).
cnf(refute_5_755,plain,
( e23 != e23
| e23 = h2(e11)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_5_754,refute_5_306]) ).
cnf(refute_5_756,plain,
( e23 != e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,h2(e11)) )],[refute_5_755,refute_5_284]) ).
cnf(refute_5_757,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_309,refute_5_756]) ).
cnf(refute_5_758,plain,
( h1(e11) != e21
| h1(e11) = op2(e20,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_5_757,refute_5_445]) ).
cnf(refute_5_759,plain,
( h1(e11) != e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_5_758,refute_5_20]) ).
cnf(refute_5_760,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_5_120]) ).
cnf(refute_5_761,plain,
op2(e20,op2(e23,e21)) = op2(e20,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e21)))]]) ).
cnf(refute_5_762,plain,
( op2(e20,op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(e23,e21) != e20
| op2(e20,op2(e23,e21)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) ),[1,1],$fot(e20)]]) ).
cnf(refute_5_763,plain,
( op2(e23,e21) != e20
| op2(e20,op2(e23,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_5_761,refute_5_762]) ).
cnf(refute_5_764,plain,
op2(e20,op2(e23,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_5_41,refute_5_763]) ).
cnf(refute_5_765,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(op2(e23,e21),op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),op2(e23,e21)))]]) ).
cnf(refute_5_766,plain,
( op2(e23,e21) != e20
| op2(op2(e23,e21),op2(e23,e21)) != op2(op2(e23,e21),op2(e23,e21))
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(op2(e23,e21),op2(e23,e21))) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_767,plain,
( op2(e23,e21) != e20
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(op2(e23,e21),op2(e23,e21))) )],[refute_5_765,refute_5_766]) ).
cnf(refute_5_768,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_5_41,refute_5_767]) ).
cnf(refute_5_769,plain,
( op2(e20,op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(op2(e23,e21),op2(e23,e21)))),bind(Y,$fot(op2(e20,op2(e23,e21)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_5_770,plain,
( op2(e20,op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_5_768,refute_5_769]) ).
cnf(refute_5_771,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,e20)) )],[refute_5_764,refute_5_770]) ).
cnf(refute_5_772,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e23,e21),op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) = h1(e11) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(op2(e23,e21),op2(e23,e21)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_5_773,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e23,e21),op2(e23,e21)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(e20,e20)) )],[refute_5_771,refute_5_772]) ).
cnf(refute_5_774,plain,
op2(op2(e23,e21),op2(e23,e21)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_5_17,refute_5_773]) ).
cnf(refute_5_775,plain,
( op2(op2(e23,e21),op2(e23,e21)) != e21
| op2(op2(e23,e21),op2(e23,e21)) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_5_776,plain,
( op2(op2(e23,e21),op2(e23,e21)) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),h1(e11)) )],[refute_5_774,refute_5_775]) ).
cnf(refute_5_777,plain,
( h1(e11) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),e21) )],[refute_5_760,refute_5_776]) ).
cnf(refute_5_778,plain,
( e21 != e21
| h1(e11) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_5_777,refute_5_471]) ).
cnf(refute_5_779,plain,
( e21 != e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_5_778,refute_5_759]) ).
cnf(refute_5_780,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_403,refute_5_779]) ).
cnf(refute_5_781,plain,
( op2(h3(e11),h3(e11)) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_5_780,refute_5_736]) ).
cnf(refute_5_782,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 ),
inference(canonicalize,[],[normalize_5_121]) ).
cnf(refute_5_783,plain,
( op2(op2(e22,e21),op2(e22,e21)) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_5_780,refute_5_782]) ).
cnf(refute_5_784,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(canonicalize,[],[normalize_5_123]) ).
cnf(refute_5_785,plain,
( h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_5_784,refute_5_293]) ).
cnf(refute_5_786,plain,
( h2(e11) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_5_785,refute_5_37]) ).
cnf(refute_5_787,plain,
( op2(e23,e21) != e20
| op2(e23,e21) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e22) ),[0],$fot(e20)]]) ).
cnf(refute_5_788,plain,
( op2(e23,e21) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_5_41,refute_5_787]) ).
cnf(refute_5_789,plain,
( e20 = e22
| h2(e11) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_5_786,refute_5_788]) ).
cnf(refute_5_790,plain,
e20 != e22,
inference(canonicalize,[],[normalize_5_124]) ).
cnf(refute_5_791,plain,
( h2(e11) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_5_789,refute_5_790]) ).
cnf(refute_5_792,plain,
( op2(e22,e21) != e22
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),op2(e22,e21)),e21) ),[0,0],$fot(e22)]]) ).
cnf(refute_5_793,plain,
( op2(op2(e22,e21),op2(e22,e21)) != e21
| h2(e11) = e22
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_5_791,refute_5_792]) ).
cnf(refute_5_794,plain,
( h2(e11) = e22
| op2(e22,op2(e22,e21)) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),op2(e22,e21)),e21) )],[refute_5_783,refute_5_793]) ).
cnf(refute_5_795,plain,
( op2(e22,e21) != e22
| op2(e22,op2(e22,e21)) != e21
| op2(e22,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e22)]]) ).
cnf(refute_5_796,plain,
( op2(e22,op2(e22,e21)) != e21
| h2(e11) = e22
| op2(e22,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_5_791,refute_5_795]) ).
cnf(refute_5_797,plain,
( h2(e11) = e22
| op2(e22,e22) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_5_794,refute_5_796]) ).
cnf(refute_5_798,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_5_799,plain,
( op2(e22,e22) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_5_521,refute_5_798]) ).
cnf(refute_5_800,plain,
( h2(e11) = e22
| h3(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_5_797,refute_5_799]) ).
cnf(refute_5_801,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e11)) != e22
| op2(e21,h3(e11)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e11)),e22) ),[0,0],$fot(e21)]]) ).
cnf(refute_5_802,plain,
( op2(h3(e11),h3(e11)) != e22
| h2(e11) = e22
| op2(e21,h3(e11)) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_5_800,refute_5_801]) ).
cnf(refute_5_803,plain,
( h2(e11) = e22
| op2(e21,h3(e11)) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),e22) )],[refute_5_781,refute_5_802]) ).
cnf(refute_5_804,plain,
( h3(e11) != e21
| op2(e21,h3(e11)) != e22
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e11)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_5_805,plain,
( op2(e21,h3(e11)) != e22
| h2(e11) = e22
| op2(e21,e21) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_5_800,refute_5_804]) ).
cnf(refute_5_806,plain,
( h2(e11) = e22
| op2(e21,e21) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e11)),e22) )],[refute_5_803,refute_5_805]) ).
cnf(refute_5_807,plain,
( h2(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_5_806,refute_5_293]) ).
cnf(refute_5_808,plain,
( h2(e11) != e22
| h2(e11) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[0],$fot(e22)]]) ).
cnf(refute_5_809,plain,
( h2(e11) != e23
| e22 = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_5_807,refute_5_808]) ).
cnf(refute_5_810,plain,
( e22 = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_5_721,refute_5_809]) ).
cnf(refute_5_811,plain,
e22 != e23,
inference(canonicalize,[],[normalize_5_125]) ).
cnf(refute_5_812,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_5_810,refute_5_811]) ).
cnf(refute_5_813,plain,
( op2(op2(e21,e23),op2(e21,e23)) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_5_812,refute_5_680]) ).
cnf(refute_5_814,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_5_126]) ).
cnf(refute_5_815,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_5_816,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_5_78,refute_5_815]) ).
cnf(refute_5_817,plain,
h2(e11) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_5_816,refute_5_814]) ).
cnf(refute_5_818,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_5_127]) ).
cnf(refute_5_819,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_5_128]) ).
cnf(refute_5_820,plain,
( op2(e21,e23) != e21
| op2(e23,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_5_821,plain,
( op2(e21,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_6,refute_5_820]) ).
cnf(refute_5_822,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_5_821,refute_5_819]) ).
cnf(refute_5_823,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_5_818,refute_5_822]) ).
cnf(refute_5_824,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_5_129]) ).
cnf(refute_5_825,plain,
( e22 != op2(e21,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_5_826,plain,
( e22 != op2(e21,e23)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_5_34,refute_5_825]) ).
cnf(refute_5_827,plain,
e22 != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_5_826,refute_5_824]) ).
cnf(refute_5_828,plain,
( op2(e21,e23) != e22
| e22 = op2(e21,e23) ),
inference(subst,[],[refute_5_4:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_5_829,plain,
op2(e21,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_5_828,refute_5_827]) ).
cnf(refute_5_830,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_5_823,refute_5_829]) ).
cnf(refute_5_831,plain,
( h2(e11) != e23
| op2(e21,e23) != e23
| h2(e11) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_5_832,plain,
( h2(e11) != e23
| h2(e11) = op2(e21,e23)
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_5_830,refute_5_831]) ).
cnf(refute_5_833,plain,
( h2(e11) != e23
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e23)) )],[refute_5_832,refute_5_817]) ).
cnf(refute_5_834,plain,
( e23 != e23
| h2(e11) != e23
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_5_835,plain,
( e23 != e23
| h2(e11) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_5_721,refute_5_834]) ).
cnf(refute_5_836,plain,
( e23 != e23
| op2(e21,e23) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_5_835,refute_5_833]) ).
cnf(refute_5_837,plain,
( op2(e21,e23) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_309,refute_5_836]) ).
cnf(refute_5_838,plain,
( op2(e21,e23) != e20
| op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(op2(e21,e23),e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) ),[0,1],$fot(e20)]]) ).
cnf(refute_5_839,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(op2(e21,e23),e20) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_5_837,refute_5_838]) ).
cnf(refute_5_840,plain,
( op2(op2(e21,e23),e20) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) )],[refute_5_813,refute_5_839]) ).
cnf(refute_5_841,plain,
( op2(e21,e23) != e20
| op2(op2(e21,e23),e20) != e23
| op2(e20,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e20),e23) ),[0,0],$fot(e20)]]) ).
cnf(refute_5_842,plain,
( op2(op2(e21,e23),e20) != e23
| op2(e20,e20) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_5_837,refute_5_841]) ).
cnf(refute_5_843,plain,
( op2(e20,e20) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e20),e23) )],[refute_5_840,refute_5_842]) ).
cnf(refute_5_844,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_5_845,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_5_17,refute_5_844]) ).
cnf(refute_5_846,plain,
( h1(e11) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_5_843,refute_5_845]) ).
cnf(refute_5_847,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 ),
inference(canonicalize,[],[normalize_5_130]) ).
cnf(refute_5_848,plain,
( ~ definitionFOFtoCNF_3
| op2(op2(e21,e20),op2(e21,e20)) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_5_679,refute_5_847]) ).
cnf(refute_5_849,plain,
( op2(op2(e21,e20),op2(e21,e20)) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_5_812,refute_5_848]) ).
cnf(refute_5_850,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_5_131]) ).
cnf(refute_5_851,plain,
( op2(e22,e20) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_5_852,plain,
( op2(e22,e20) != h3(e11)
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_5_521,refute_5_851]) ).
cnf(refute_5_853,plain,
op2(e22,e20) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_5_852,refute_5_850]) ).
cnf(refute_5_854,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(canonicalize,[],[normalize_5_132]) ).
cnf(refute_5_855,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_5_856,plain,
( op2(e20,e20) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_5_17,refute_5_855]) ).
cnf(refute_5_857,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_5_854,refute_5_856]) ).
cnf(refute_5_858,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_5_133]) ).
cnf(refute_5_859,plain,
( op2(e23,e20) != e21
| op2(e23,e23) != e21
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_5_860,plain,
( op2(e23,e20) != e21
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_6,refute_5_859]) ).
cnf(refute_5_861,plain,
op2(e23,e20) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_5_860,refute_5_858]) ).
cnf(refute_5_862,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_5_857,refute_5_861]) ).
cnf(refute_5_863,plain,
( e21 != h3(e11)
| op2(e22,e20) != e21
| op2(e22,e20) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[1],$fot(h3(e11))]]) ).
cnf(refute_5_864,plain,
( e21 != h3(e11)
| h1(e11) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_5_862,refute_5_863]) ).
cnf(refute_5_865,plain,
( e21 != h3(e11)
| h1(e11) = e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h3(e11)) )],[refute_5_864,refute_5_853]) ).
cnf(refute_5_866,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_5_134]) ).
cnf(refute_5_867,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_5_868,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_5_17,refute_5_867]) ).
cnf(refute_5_869,plain,
h1(e11) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_5_868,refute_5_866]) ).
cnf(refute_5_870,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_5_135]) ).
cnf(refute_5_871,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_5_136]) ).
cnf(refute_5_872,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_5_871,refute_5_861]) ).
cnf(refute_5_873,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_5_137]) ).
cnf(refute_5_874,plain,
( op2(e23,e20) != e20
| op2(e23,e21) != e20
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_5_875,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_5_41,refute_5_874]) ).
cnf(refute_5_876,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_5_875,refute_5_873]) ).
cnf(refute_5_877,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_5_872,refute_5_876]) ).
cnf(refute_5_878,plain,
( op2(e21,e20) != e22
| op2(e23,e20) != e22
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_5_879,plain,
( op2(e21,e20) != e22
| op2(e21,e20) = op2(e23,e20)
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_5_877,refute_5_878]) ).
cnf(refute_5_880,plain,
( op2(e21,e20) != e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_5_879,refute_5_870]) ).
cnf(refute_5_881,plain,
op2(e22,e20) != op2(e22,e21),
inference(canonicalize,[],[normalize_5_138]) ).
cnf(refute_5_882,plain,
op2(e21,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_5_139]) ).
cnf(refute_5_883,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_5_884,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_5_78,refute_5_883]) ).
cnf(refute_5_885,plain,
h2(e11) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_5_884,refute_5_882]) ).
cnf(refute_5_886,plain,
( e23 != op2(e22,e21)
| h2(e11) != e23
| h2(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_5_887,plain,
( e23 != op2(e22,e21)
| h2(e11) = op2(e22,e21)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_5_721,refute_5_886]) ).
cnf(refute_5_888,plain,
( e23 != op2(e22,e21)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e21)) )],[refute_5_887,refute_5_885]) ).
cnf(refute_5_889,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_5_140]) ).
cnf(refute_5_890,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(e11) = op2(e20,e21)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_5_717,refute_5_439]) ).
cnf(refute_5_891,plain,
( h4(e11) = op2(e20,e21)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_5_264,refute_5_890]) ).
cnf(refute_5_892,plain,
( e21 = op2(e20,e21)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e21)) )],[refute_5_891,refute_5_443]) ).
cnf(refute_5_893,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_5_892,refute_5_681]) ).
cnf(refute_5_894,plain,
( e21 != op2(e22,e21)
| op2(e20,e21) != e21
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_5_895,plain,
( e21 != op2(e22,e21)
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_5_893,refute_5_894]) ).
cnf(refute_5_896,plain,
( e21 != op2(e22,e21)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_5_895,refute_5_889]) ).
cnf(refute_5_897,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(canonicalize,[],[normalize_5_141]) ).
cnf(refute_5_898,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_5_142]) ).
cnf(refute_5_899,plain,
( op2(e22,e21) != e20
| op2(e23,e21) != e20
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_5_900,plain,
( op2(e22,e21) != e20
| op2(e22,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_5_41,refute_5_899]) ).
cnf(refute_5_901,plain,
op2(e22,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_5_900,refute_5_898]) ).
cnf(refute_5_902,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_5_897,refute_5_901]) ).
cnf(refute_5_903,plain,
( e21 != e21
| op2(e22,e21) != e21
| e21 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_5_904,plain,
( e21 != e21
| e21 = op2(e22,e21)
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_5_902,refute_5_903]) ).
cnf(refute_5_905,plain,
( e21 != e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_5_904,refute_5_896]) ).
cnf(refute_5_906,plain,
( op2(e22,e21) = e22
| op2(e22,e21) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_403,refute_5_905]) ).
cnf(refute_5_907,plain,
( e23 != e23
| op2(e22,e21) != e23
| e23 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_5_908,plain,
( e23 != e23
| e23 = op2(e22,e21)
| op2(e22,e21) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_5_906,refute_5_907]) ).
cnf(refute_5_909,plain,
( e23 != e23
| op2(e22,e21) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e21)) )],[refute_5_908,refute_5_888]) ).
cnf(refute_5_910,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_309,refute_5_909]) ).
cnf(refute_5_911,plain,
( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e22,e20) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_5_912,plain,
( op2(e22,e20) != e22
| op2(e22,e20) = op2(e22,e21)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_5_910,refute_5_911]) ).
cnf(refute_5_913,plain,
( op2(e22,e20) != e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e21)) )],[refute_5_912,refute_5_881]) ).
cnf(refute_5_914,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_5_143]) ).
cnf(refute_5_915,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(canonicalize,[],[normalize_5_144]) ).
cnf(refute_5_916,plain,
( h1(e11) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_5_915,refute_5_615]) ).
cnf(refute_5_917,plain,
( op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_5_916,refute_5_623]) ).
cnf(refute_5_918,plain,
( e22 != op2(e23,e22)
| op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_5_919,plain,
( e22 != op2(e23,e22)
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_5_917,refute_5_918]) ).
cnf(refute_5_920,plain,
( e22 != op2(e23,e22)
| op2(e21,e20) = e22
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_5_919,refute_5_914]) ).
cnf(refute_5_921,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_5_145]) ).
cnf(refute_5_922,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_5_146]) ).
cnf(refute_5_923,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_5_147]) ).
cnf(refute_5_924,plain,
( op2(e23,e22) != e21
| op2(e23,e23) != e21
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_5_925,plain,
( op2(e23,e22) != e21
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_6,refute_5_924]) ).
cnf(refute_5_926,plain,
op2(e23,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_5_925,refute_5_923]) ).
cnf(refute_5_927,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_5_922,refute_5_926]) ).
cnf(refute_5_928,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_5_148]) ).
cnf(refute_5_929,plain,
( e20 != op2(e23,e22)
| op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e20) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_5_930,plain,
( e20 != op2(e23,e22)
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_5_41,refute_5_929]) ).
cnf(refute_5_931,plain,
e20 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_5_930,refute_5_928]) ).
cnf(refute_5_932,plain,
( op2(e23,e22) != e20
| e20 = op2(e23,e22) ),
inference(subst,[],[refute_5_4:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e20))]]) ).
cnf(refute_5_933,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_5_932,refute_5_931]) ).
cnf(refute_5_934,plain,
( op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_5_927,refute_5_933]) ).
cnf(refute_5_935,plain,
( op2(e20,e22) != e23
| op2(e23,e22) != e23
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_5_936,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e23,e22)
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_5_934,refute_5_935]) ).
cnf(refute_5_937,plain,
( op2(e20,e22) != e23
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_5_936,refute_5_921]) ).
cnf(refute_5_938,plain,
op1(e10,e11) != op1(e10,e12),
inference(canonicalize,[],[normalize_5_149]) ).
cnf(refute_5_939,plain,
( e11 != op1(e10,e12)
| op1(e10,e11) != e11
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_5_940,plain,
( e11 != op1(e10,e12)
| op1(e10,e11) = op1(e10,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_5_717,refute_5_939]) ).
cnf(refute_5_941,plain,
( e11 != op1(e10,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_5_940,refute_5_938]) ).
cnf(refute_5_942,plain,
( e11 != e11
| op1(e10,e12) != e11
| e11 = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_5_943,plain,
( e11 != e11
| e11 = op1(e10,e12)
| op1(e10,e12) = e10
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_5_632,refute_5_942]) ).
cnf(refute_5_944,plain,
( e11 != e11
| op1(e10,e12) = e10
| op1(e10,e12) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,op1(e10,e12)) )],[refute_5_943,refute_5_941]) ).
cnf(refute_5_945,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_5_395,refute_5_944]) ).
cnf(refute_5_946,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e13) = op2(e20,e22)
| op1(e10,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_5_945,refute_5_643]) ).
cnf(refute_5_947,plain,
( h4(e13) = op2(e20,e22)
| op1(e10,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_5_599,refute_5_946]) ).
cnf(refute_5_948,plain,
( e23 = op2(e20,e22)
| op1(e10,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e22)) )],[refute_5_947,refute_5_647]) ).
cnf(refute_5_949,plain,
( op1(e10,e12) = e10
| op2(e20,e22) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e22)) )],[refute_5_948,refute_5_649]) ).
cnf(refute_5_950,plain,
( e23 != e23
| op1(e10,e12) = e10
| op2(e20,e22) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_5_949,refute_5_651]) ).
cnf(refute_5_951,plain,
( e23 != e23
| op1(e10,e12) = e10
| op2(e23,e22) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_5_950,refute_5_937]) ).
cnf(refute_5_952,plain,
( op1(e10,e12) = e10
| op2(e23,e22) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_309,refute_5_951]) ).
cnf(refute_5_953,plain,
( e22 != e22
| op2(e23,e22) != e22
| e22 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_5_954,plain,
( e22 != e22
| e22 = op2(e23,e22)
| op1(e10,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_5_952,refute_5_953]) ).
cnf(refute_5_955,plain,
( e22 != e22
| op1(e10,e12) = e10
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e22)) )],[refute_5_954,refute_5_920]) ).
cnf(refute_5_956,plain,
( e22 != e22
| op1(e10,e12) = e10
| op2(e21,e20) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_5_955,refute_5_913]) ).
cnf(refute_5_957,plain,
( e22 != e22
| op1(e10,e12) = e10
| op2(e23,e20) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_5_956,refute_5_880]) ).
cnf(refute_5_958,plain,
( op1(e10,e12) = e10
| op2(e23,e20) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_5_359,refute_5_957]) ).
cnf(refute_5_959,plain,
( h1(e11) != e23
| op2(e23,e20) != e23
| h1(e11) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_5_960,plain,
( h1(e11) != e23
| h1(e11) = op2(e23,e20)
| op1(e10,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_5_958,refute_5_959]) ).
cnf(refute_5_961,plain,
( h1(e11) != e23
| op1(e10,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,e20)) )],[refute_5_960,refute_5_869]) ).
cnf(refute_5_962,plain,
( e23 != e23
| h1(e11) != e23
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_5_963,plain,
( e23 != e23
| h1(e11) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_5_846,refute_5_962]) ).
cnf(refute_5_964,plain,
( e23 != e23
| op1(e10,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_5_963,refute_5_961]) ).
cnf(refute_5_965,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_309,refute_5_964]) ).
cnf(refute_5_966,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e10) = op2(e20,e22)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_5_965,refute_5_600]) ).
cnf(refute_5_967,plain,
( h4(e10) = op2(e20,e22)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_5_599,refute_5_966]) ).
cnf(refute_5_968,plain,
( e20 = op2(e20,e22)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e22)) )],[refute_5_967,refute_5_604]) ).
cnf(refute_5_969,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_5_968,refute_5_606]) ).
cnf(refute_5_970,plain,
( e20 != h3(e11)
| op2(e20,e22) != e20
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[1],$fot(h3(e11))]]) ).
cnf(refute_5_971,plain,
( e20 != h3(e11)
| op2(e20,e22) = h3(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_5_969,refute_5_970]) ).
cnf(refute_5_972,plain,
( e20 != h3(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_5_971,refute_5_639]) ).
cnf(refute_5_973,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_5_150]) ).
cnf(refute_5_974,plain,
( e20 != op2(e22,e23)
| op2(e21,e23) != e20
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_5_975,plain,
( e20 != op2(e22,e23)
| op2(e21,e23) = op2(e22,e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_5_837,refute_5_974]) ).
cnf(refute_5_976,plain,
( e20 != op2(e22,e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_5_975,refute_5_973]) ).
cnf(refute_5_977,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(canonicalize,[],[normalize_5_151]) ).
cnf(refute_5_978,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_5_979,plain,
( op2(e22,e22) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_5_521,refute_5_978]) ).
cnf(refute_5_980,plain,
( h3(e11) = e20
| op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_5_977,refute_5_979]) ).
cnf(refute_5_981,plain,
( h3(e11) = e20
| op2(e22,e20) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_5_980,refute_5_901]) ).
cnf(refute_5_982,plain,
( e20 != e20
| op2(e22,e23) != e20
| e20 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_5_983,plain,
( e20 != e20
| e20 = op2(e22,e23)
| h3(e11) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_5_981,refute_5_982]) ).
cnf(refute_5_984,plain,
( e20 != e20
| h3(e11) = e20
| op2(e22,e20) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e23)) )],[refute_5_983,refute_5_976]) ).
cnf(refute_5_985,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_5_986,plain,
( h3(e11) = e20
| op2(e22,e20) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_5_985,refute_5_984]) ).
cnf(refute_5_987,plain,
( e21 != op2(e22,e21)
| op1(e10,e11) = e13
| op2(e20,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_5_682,refute_5_894]) ).
cnf(refute_5_988,plain,
( e21 != op2(e22,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_5_987,refute_5_889]) ).
cnf(refute_5_989,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_5_152]) ).
cnf(refute_5_990,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_5_989,refute_5_799]) ).
cnf(refute_5_991,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_5_990,refute_5_561]) ).
cnf(refute_5_992,plain,
( e21 != e21
| e21 = op2(e22,e21)
| h3(e11) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_5_991,refute_5_903]) ).
cnf(refute_5_993,plain,
( e21 != e21
| h3(e11) = e21
| op1(e10,e11) = e13
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_5_992,refute_5_988]) ).
cnf(refute_5_994,plain,
( h3(e11) = e21
| op1(e10,e11) = e13
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_403,refute_5_993]) ).
cnf(refute_5_995,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(e21)]]) ).
cnf(refute_5_996,plain,
( op2(e22,e20) != e20
| e21 = e20
| h3(e11) = e21
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_5_994,refute_5_995]) ).
cnf(refute_5_997,plain,
( e21 = e20
| h3(e11) = e20
| h3(e11) = e21
| op1(e10,e11) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_5_986,refute_5_996]) ).
cnf(refute_5_998,plain,
e20 != e21,
inference(canonicalize,[],[normalize_5_153]) ).
cnf(refute_5_999,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_5_1000,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_5_999,refute_5_998]) ).
cnf(refute_5_1001,plain,
( h3(e11) = e20
| h3(e11) = e21
| op1(e10,e11) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_5_997,refute_5_1000]) ).
cnf(refute_5_1002,plain,
( op1(e10,e11) != e11
| e13 = e11
| h3(e11) = e20
| h3(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_5_1001,refute_5_350]) ).
cnf(refute_5_1003,plain,
( e13 = e11
| h3(e11) = e20
| h3(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_5_717,refute_5_1002]) ).
cnf(refute_5_1004,plain,
( h3(e11) = e20
| h3(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_5_1003,refute_5_354]) ).
cnf(refute_5_1005,plain,
( e20 != e20
| h3(e11) != e20
| e20 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h3(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_5_1006,plain,
( e20 != e20
| e20 = h3(e11)
| h3(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_5_1004,refute_5_1005]) ).
cnf(refute_5_1007,plain,
( e20 != e20
| h3(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,h3(e11)) )],[refute_5_1006,refute_5_972]) ).
cnf(refute_5_1008,plain,
( h3(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_5_985,refute_5_1007]) ).
cnf(refute_5_1009,plain,
( e21 != e21
| h3(e11) != e21
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_5_1010,plain,
( e21 != e21
| e21 = h3(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_5_1008,refute_5_1009]) ).
cnf(refute_5_1011,plain,
( e21 != e21
| h1(e11) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_5_1010,refute_5_865]) ).
cnf(refute_5_1012,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_403,refute_5_1011]) ).
cnf(refute_5_1013,plain,
( op2(e21,e20) != e21
| op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(e21,op2(e21,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),op2(e21,e20)),e20) ),[0,0],$fot(e21)]]) ).
cnf(refute_5_1014,plain,
( op2(op2(e21,e20),op2(e21,e20)) != e20
| h1(e11) = e21
| op2(e21,op2(e21,e20)) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_5_1012,refute_5_1013]) ).
cnf(refute_5_1015,plain,
( h1(e11) = e21
| op2(e21,op2(e21,e20)) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),op2(e21,e20)),e20) )],[refute_5_849,refute_5_1014]) ).
cnf(refute_5_1016,plain,
( op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) != e20
| op2(e21,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e20)),e20) ),[0,1],$fot(e21)]]) ).
cnf(refute_5_1017,plain,
( op2(e21,op2(e21,e20)) != e20
| h1(e11) = e21
| op2(e21,e21) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_5_1012,refute_5_1016]) ).
cnf(refute_5_1018,plain,
( h1(e11) = e21
| op2(e21,e21) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),e20) )],[refute_5_1015,refute_5_1017]) ).
cnf(refute_5_1019,plain,
( h1(e11) = e21
| h2(e11) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_5_1018,refute_5_287]) ).
cnf(refute_5_1020,plain,
( h1(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_5_1019,refute_5_304]) ).
cnf(refute_5_1021,plain,
( h1(e11) != e21
| h1(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_5_1022,plain,
( h1(e11) != e23
| e21 = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_5_1020,refute_5_1021]) ).
cnf(refute_5_1023,plain,
( e21 = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_5_846,refute_5_1022]) ).
cnf(refute_5_1024,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_5_1023,refute_5_314]) ).
cnf(refute_5_1025,plain,
op1(op1(e11,e13),op1(e11,e13)) = e13,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_5_1024,refute_5_417]) ).
cnf(refute_5_1026,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_5_154]) ).
cnf(refute_5_1027,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_5_1026,refute_5_387]) ).
cnf(refute_5_1028,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_5_155]) ).
cnf(refute_5_1029,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_5_1030,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_5_119,refute_5_1029]) ).
cnf(refute_5_1031,plain,
e12 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_5_1030,refute_5_1028]) ).
cnf(refute_5_1032,plain,
( op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
inference(subst,[],[refute_5_4:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_5_1033,plain,
op1(e11,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_5_1032,refute_5_1031]) ).
cnf(refute_5_1034,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_5_1027,refute_5_1033]) ).
cnf(refute_5_1035,plain,
( op1(e11,e13) != e13
| op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(op1(e11,e13),e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_5_1036,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(e11,e13) = e10
| op1(op1(e11,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_5_1034,refute_5_1035]) ).
cnf(refute_5_1037,plain,
( op1(e11,e13) = e10
| op1(op1(e11,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) )],[refute_5_1025,refute_5_1036]) ).
cnf(refute_5_1038,plain,
( op1(e11,e13) != e13
| op1(op1(e11,e13),e13) != e13
| op1(e13,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_5_1039,plain,
( op1(op1(e11,e13),e13) != e13
| op1(e11,e13) = e10
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_5_1034,refute_5_1038]) ).
cnf(refute_5_1040,plain,
( op1(e11,e13) = e10
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),e13) )],[refute_5_1037,refute_5_1039]) ).
cnf(refute_5_1041,plain,
( e11 = e13
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_5_1040,refute_5_324]) ).
cnf(refute_5_1042,plain,
op1(e11,e13) = e10,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_5_1041,refute_5_182]) ).
cnf(refute_5_1043,plain,
op1(e10,op1(e11,e13)) = op1(e10,op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e11,e13)))]]) ).
cnf(refute_5_1044,plain,
( op1(e10,op1(e11,e13)) != op1(e10,op1(e11,e13))
| op1(e11,e13) != e10
| op1(e10,op1(e11,e13)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,op1(e11,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_5_1045,plain,
( op1(e11,e13) != e10
| op1(e10,op1(e11,e13)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,op1(e11,e13))) )],[refute_5_1043,refute_5_1044]) ).
cnf(refute_5_1046,plain,
op1(e10,op1(e11,e13)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_5_1042,refute_5_1045]) ).
cnf(refute_5_1047,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(op1(e11,e13),op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e11,e13),op1(e11,e13)))]]) ).
cnf(refute_5_1048,plain,
( op1(e11,e13) != e10
| op1(op1(e11,e13),op1(e11,e13)) != op1(op1(e11,e13),op1(e11,e13))
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(op1(e11,e13),op1(e11,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_5_1049,plain,
( op1(e11,e13) != e10
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(op1(e11,e13),op1(e11,e13))) )],[refute_5_1047,refute_5_1048]) ).
cnf(refute_5_1050,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_5_1042,refute_5_1049]) ).
cnf(refute_5_1051,plain,
( op1(e10,op1(e11,e13)) != op1(e10,e10)
| op1(op1(e11,e13),op1(e11,e13)) != op1(e10,op1(e11,e13))
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op1(op1(e11,e13),op1(e11,e13)))),bind(Y,$fot(op1(e10,op1(e11,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_5_1052,plain,
( op1(e10,op1(e11,e13)) != op1(e10,e10)
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(e10,op1(e11,e13))) )],[refute_5_1050,refute_5_1051]) ).
cnf(refute_5_1053,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,e10)) )],[refute_5_1046,refute_5_1052]) ).
cnf(refute_5_1054,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(op1(e11,e13),op1(e11,e13)) != op1(e10,e10)
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_5_1055,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(e10,e10)) )],[refute_5_1053,refute_5_1054]) ).
cnf(refute_5_1056,plain,
op1(e10,e10) = e13,
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) )],[refute_5_1025,refute_5_1055]) ).
cnf(refute_5_1057,plain,
h4(op1(e10,e10)) = h4(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).
cnf(refute_5_1058,plain,
( h4(op1(e10,e10)) != h4(op1(e10,e10))
| op1(e10,e10) != e13
| h4(op1(e10,e10)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) ),[1,0],$fot(e13)]]) ).
cnf(refute_5_1059,plain,
( op1(e10,e10) != e13
| h4(op1(e10,e10)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_5_1057,refute_5_1058]) ).
cnf(refute_5_1060,plain,
h4(op1(e10,e10)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_5_1056,refute_5_1059]) ).
cnf(refute_5_1061,plain,
( h4(e13) != e23
| h4(op1(e10,e10)) != h4(e13)
| h4(op1(e10,e10)) = e23 ),
inference(subst,[],[refute_5_63:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_5_1062,plain,
( h4(e13) != e23
| h4(op1(e10,e10)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e13)) )],[refute_5_1060,refute_5_1061]) ).
cnf(refute_5_1063,plain,
h4(op1(e10,e10)) = e23,
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_5_73,refute_5_1062]) ).
cnf(refute_5_1064,plain,
( h4(op1(e10,e10)) != e23
| h4(op1(e10,e10)) != h1(e11)
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_5_1065,plain,
( h4(op1(e10,e10)) != h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e23) )],[refute_5_1063,refute_5_1064]) ).
cnf(refute_5_1066,plain,
e23 = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_5_72,refute_5_1065]) ).
cnf(refute_5_1067,plain,
( e23 != h1(e11)
| h1(e11) = e23 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e23)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_5_1068,plain,
h1(e11) = e23,
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_5_1066,refute_5_1067]) ).
cnf(refute_5_1069,plain,
( e23 != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_5_1068,refute_5_962]) ).
cnf(refute_5_1070,plain,
( e23 != e23
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_5_1069,refute_5_48]) ).
cnf(refute_5_1071,plain,
op2(e20,e21) = e21,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_309,refute_5_1070]) ).
cnf(refute_5_1072,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_5_156]) ).
cnf(refute_5_1073,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_5_1074,plain,
( op2(e20,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_5_17,refute_5_1073]) ).
cnf(refute_5_1075,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_5_1072,refute_5_1074]) ).
cnf(refute_5_1076,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_5_1077,plain,
( op2(e20,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_5_34,refute_5_1076]) ).
cnf(refute_5_1078,plain,
( e22 = e20
| h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_5_1075,refute_5_1077]) ).
cnf(refute_5_1079,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_5_1080,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_5_1079,refute_5_790]) ).
cnf(refute_5_1081,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_5_1078,refute_5_1080]) ).
cnf(refute_5_1082,plain,
( h1(e11) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_5_1081,refute_5_44]) ).
cnf(refute_5_1083,plain,
( h1(e11) != e20
| h1(e11) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[0],$fot(e23)]]) ).
cnf(refute_5_1084,plain,
( h1(e11) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_5_1068,refute_5_1083]) ).
cnf(refute_5_1085,plain,
( e23 = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_5_1082,refute_5_1084]) ).
cnf(refute_5_1086,plain,
e20 != e23,
inference(canonicalize,[],[normalize_5_157]) ).
cnf(refute_5_1087,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_5_1088,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_5_1087,refute_5_1086]) ).
cnf(refute_5_1089,plain,
op2(e20,e22) = e20,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_5_1085,refute_5_1088]) ).
cnf(refute_5_1090,plain,
( h1(e11) != e23
| h1(e11) != op2(e20,e20)
| e23 = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e20,e20)) ),[0],$fot(e23)]]) ).
cnf(refute_5_1091,plain,
( h1(e11) != op2(e20,e20)
| e23 = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_5_1068,refute_5_1090]) ).
cnf(refute_5_1092,plain,
e23 = op2(e20,e20),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_5_15,refute_5_1091]) ).
cnf(refute_5_1093,plain,
( e23 != op2(e20,e20)
| op2(e20,e20) = e23 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_5_1094,plain,
op2(e20,e20) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e20,e20)) )],[refute_5_1092,refute_5_1093]) ).
cnf(refute_5_1095,plain,
h1(e13) = e20,
inference(canonicalize,[],[normalize_5_13]) ).
cnf(refute_5_1096,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_5_158]) ).
cnf(refute_5_1097,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_5_1098,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_5_1099,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_5_1097,refute_5_1098]) ).
cnf(refute_5_1100,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_5_17,refute_5_1099]) ).
cnf(refute_5_1101,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) != op2(e20,h1(e11))
| h1(e10) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e20,h1(e11))) ),[0],$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_5_1102,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| h1(e10) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e11))) )],[refute_5_1100,refute_5_1101]) ).
cnf(refute_5_1103,plain,
h1(e10) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,op2(e20,e20))) )],[refute_5_1096,refute_5_1102]) ).
cnf(refute_5_1104,plain,
op2(e20,h1(e11)) = op2(e20,h1(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h1(e11)))]]) ).
cnf(refute_5_1105,plain,
( h1(e11) != e23
| op2(e20,h1(e11)) != op2(e20,h1(e11))
| op2(e20,h1(e11)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_1106,plain,
( h1(e11) != e23
| op2(e20,h1(e11)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,h1(e11))) )],[refute_5_1104,refute_5_1105]) ).
cnf(refute_5_1107,plain,
op2(e20,h1(e11)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_5_1068,refute_5_1106]) ).
cnf(refute_5_1108,plain,
( op2(e20,e23) != e22
| op2(e20,h1(e11)) != op2(e20,e23)
| op2(e20,h1(e11)) = e22 ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(e20,h1(e11)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_5_1109,plain,
( op2(e20,e23) != e22
| op2(e20,h1(e11)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,e23)) )],[refute_5_1107,refute_5_1108]) ).
cnf(refute_5_1110,plain,
op2(e20,h1(e11)) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_5_34,refute_5_1109]) ).
cnf(refute_5_1111,plain,
( h1(e10) != op2(e20,h1(e11))
| op2(e20,h1(e11)) != e22
| h1(e10) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e22) ),[0],$fot(op2(e20,h1(e11)))]]) ).
cnf(refute_5_1112,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),e22) )],[refute_5_1110,refute_5_1111]) ).
cnf(refute_5_1113,plain,
h1(e10) = e22,
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_5_1103,refute_5_1112]) ).
cnf(refute_5_1114,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_5_159]) ).
cnf(refute_5_1115,plain,
( op1(e12,e11) != e13
| op1(e12,e13) != e13
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_5_1116,plain,
( op1(e12,e11) != e13
| op1(e11,e13) = e13
| op1(e12,e11) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_5_328,refute_5_1115]) ).
cnf(refute_5_1117,plain,
( op1(e12,e11) != e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_5_1116,refute_5_1114]) ).
cnf(refute_5_1118,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_5_346,refute_5_1117]) ).
cnf(refute_5_1119,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_5_204,refute_5_1118]) ).
cnf(refute_5_1120,plain,
op1(e10,e10) != op1(e10,e11),
inference(canonicalize,[],[normalize_5_160]) ).
cnf(refute_5_1121,plain,
( op1(e10,e10) != e13
| op1(e10,e11) != e13
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_5_1122,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = op1(e10,e11)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_5_271,refute_5_1121]) ).
cnf(refute_5_1123,plain,
( op1(e10,e10) != e13
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_5_1122,refute_5_1120]) ).
cnf(refute_5_1124,plain,
( e13 != e13
| op1(e10,e10) != e13
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(e13)]]) ).
cnf(refute_5_1125,plain,
( e13 != e13
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_5_1056,refute_5_1124]) ).
cnf(refute_5_1126,plain,
( e13 != e13
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_5_1125,refute_5_1123]) ).
cnf(refute_5_1127,plain,
op1(e10,e11) = e11,
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_5_204,refute_5_1126]) ).
cnf(refute_5_1128,plain,
( op1(e10,e11) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_5_1127,refute_5_718]) ).
cnf(refute_5_1129,plain,
( e11 = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_5_1119,refute_5_1128]) ).
cnf(refute_5_1130,plain,
( op1(e11,e13) != e10
| op1(e11,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_5_1131,plain,
( op1(e11,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_5_1042,refute_5_1130]) ).
cnf(refute_5_1132,plain,
( e10 = e13
| e11 = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_5_1129,refute_5_1131]) ).
cnf(refute_5_1133,plain,
( e11 = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_5_1132,refute_5_343]) ).
cnf(refute_5_1134,plain,
op1(e11,e11) = e13,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_5_1133,refute_5_182]) ).
cnf(refute_5_1135,plain,
( op1(e11,e11) != e12
| op1(e11,e11) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e13)]]) ).
cnf(refute_5_1136,plain,
( op1(e11,e11) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_5_1134,refute_5_1135]) ).
cnf(refute_5_1137,plain,
( e13 = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_5_491,refute_5_1136]) ).
cnf(refute_5_1138,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_5_1139,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_5_1138,refute_5_327]) ).
cnf(refute_5_1140,plain,
op1(e12,e11) = e12,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_5_1137,refute_5_1139]) ).
cnf(refute_5_1141,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0],$fot(e13)]]) ).
cnf(refute_5_1142,plain,
( op1(e10,e10) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_5_1056,refute_5_1141]) ).
cnf(refute_5_1143,plain,
( e13 = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_5_143,refute_5_1142]) ).
cnf(refute_5_1144,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_5_1145,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_5_1144,refute_5_343]) ).
cnf(refute_5_1146,plain,
op1(e10,e12) = e10,
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_5_1143,refute_5_1145]) ).
cnf(refute_5_1147,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e12),op1(e11,e12)) = e12 ),
inference(canonicalize,[],[normalize_5_161]) ).
cnf(refute_5_1148,plain,
( ~ definitionFOFtoCNF_0
| op1(op1(e11,e12),op1(e11,e12)) = e12 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_5_416,refute_5_1147]) ).
cnf(refute_5_1149,plain,
op1(op1(e11,e12),op1(e11,e12)) = e12,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_5_1024,refute_5_1148]) ).
cnf(refute_5_1150,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(canonicalize,[],[normalize_5_162]) ).
cnf(refute_5_1151,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_5_1150,refute_5_192]) ).
cnf(refute_5_1152,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_5_163]) ).
cnf(refute_5_1153,plain,
( e10 != op1(e12,e13)
| op1(e11,e13) != e10
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e10) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_5_1154,plain,
( e10 != op1(e12,e13)
| op1(e11,e13) = e13
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_5_1034,refute_5_1153]) ).
cnf(refute_5_1155,plain,
( e10 != op1(e12,e13)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_5_1154,refute_5_1152]) ).
cnf(refute_5_1156,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(canonicalize,[],[normalize_5_164]) ).
cnf(refute_5_1157,plain,
op1(e12,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_5_165]) ).
cnf(refute_5_1158,plain,
( op1(e12,e11) != e10
| op1(e13,e11) != e10
| op1(e12,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_5_1159,plain,
( op1(e12,e11) != e10
| op1(e12,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_5_139,refute_5_1158]) ).
cnf(refute_5_1160,plain,
op1(e12,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e13,e11)) )],[refute_5_1159,refute_5_1157]) ).
cnf(refute_5_1161,plain,
( op1(e12,e10) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_5_1156,refute_5_1160]) ).
cnf(refute_5_1162,plain,
( e10 != e10
| op1(e12,e13) != e10
| e10 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_5_1163,plain,
( e10 != e10
| e10 = op1(e12,e13)
| op1(e12,e10) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_5_1161,refute_5_1162]) ).
cnf(refute_5_1164,plain,
( e10 != e10
| op1(e11,e13) = e13
| op1(e12,e10) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(e10,op1(e12,e13)) )],[refute_5_1163,refute_5_1155]) ).
cnf(refute_5_1165,plain,
( op1(e11,e13) = e13
| op1(e12,e10) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_5_220,refute_5_1164]) ).
cnf(refute_5_1166,plain,
( e10 = e13
| op1(e12,e10) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_5_1165,refute_5_1131]) ).
cnf(refute_5_1167,plain,
( op1(e12,e10) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_5_1166,refute_5_343]) ).
cnf(refute_5_1168,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_5_166]) ).
cnf(refute_5_1169,plain,
( e10 != op1(e12,e12)
| op1(e10,e12) != e10
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_5_1170,plain,
( e10 != op1(e12,e12)
| op1(e10,e10) = e10
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_5_143,refute_5_1169]) ).
cnf(refute_5_1171,plain,
( e10 != op1(e12,e12)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_5_1170,refute_5_1168]) ).
cnf(refute_5_1172,plain,
( e10 != op1(e12,e12)
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_5_1171,refute_5_1142]) ).
cnf(refute_5_1173,plain,
e10 != op1(e12,e12),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_5_1172,refute_5_1145]) ).
cnf(refute_5_1174,plain,
( op1(e12,e12) != e10
| e10 = op1(e12,e12) ),
inference(subst,[],[refute_5_4:[bind(X,$fot(op1(e12,e12))),bind(Y,$fot(e10))]]) ).
cnf(refute_5_1175,plain,
op1(e12,e12) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e12,e12)) )],[refute_5_1174,refute_5_1173]) ).
cnf(refute_5_1176,plain,
op1(e12,e10) = e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_5_1167,refute_5_1175]) ).
cnf(refute_5_1177,plain,
( op1(e12,e10) != e10
| op1(e12,e10) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e11) ),[0],$fot(e10)]]) ).
cnf(refute_5_1178,plain,
( op1(e12,e10) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_5_1176,refute_5_1177]) ).
cnf(refute_5_1179,plain,
( e10 = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_5_1151,refute_5_1178]) ).
cnf(refute_5_1180,plain,
( op1(e12,e11) != e11
| op1(e12,e11) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e11) ),[0],$fot(e12)]]) ).
cnf(refute_5_1181,plain,
( op1(e12,e11) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_5_1140,refute_5_1180]) ).
cnf(refute_5_1182,plain,
( e10 = e11
| e12 = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_5_1179,refute_5_1181]) ).
cnf(refute_5_1183,plain,
( e12 = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_5_1182,refute_5_225]) ).
cnf(refute_5_1184,plain,
op1(e12,e12) = e11,
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_5_1183,refute_5_714]) ).
cnf(refute_5_1185,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_5_167]) ).
cnf(refute_5_1186,plain,
( op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_5_1185,refute_5_631]) ).
cnf(refute_5_1187,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_5_168]) ).
cnf(refute_5_1188,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_5_169]) ).
cnf(refute_5_1189,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_5_1188,refute_5_177]) ).
cnf(refute_5_1190,plain,
( op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_5_1189,refute_5_215]) ).
cnf(refute_5_1191,plain,
( op1(e13,e10) != e12
| op1(e13,e12) != e12
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_5_1192,plain,
( op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e12)
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_5_1190,refute_5_1191]) ).
cnf(refute_5_1193,plain,
( op1(e13,e10) != e12
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_5_1192,refute_5_1187]) ).
cnf(refute_5_1194,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_5_170]) ).
cnf(refute_5_1195,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_5_171]) ).
cnf(refute_5_1196,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_5_172]) ).
cnf(refute_5_1197,plain,
( op1(e13,e10) != e11
| op1(e13,e13) != e11
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_5_1198,plain,
( op1(e13,e10) != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_130,refute_5_1197]) ).
cnf(refute_5_1199,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_5_1198,refute_5_1196]) ).
cnf(refute_5_1200,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_5_1195,refute_5_1199]) ).
cnf(refute_5_1201,plain,
op1(e13,e10) != op1(e13,e11),
inference(canonicalize,[],[normalize_5_173]) ).
cnf(refute_5_1202,plain,
( op1(e13,e10) != e10
| op1(e13,e11) != e10
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_5_1203,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_5_139,refute_5_1202]) ).
cnf(refute_5_1204,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_5_1203,refute_5_1201]) ).
cnf(refute_5_1205,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_5_1200,refute_5_1204]) ).
cnf(refute_5_1206,plain,
( op1(e10,e10) != e13
| op1(e13,e10) != e13
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e13,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_5_1207,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_5_1205,refute_5_1206]) ).
cnf(refute_5_1208,plain,
( op1(e10,e10) != e13
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_5_1207,refute_5_1194]) ).
cnf(refute_5_1209,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(canonicalize,[],[normalize_5_174]) ).
cnf(refute_5_1210,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_5_1209,refute_5_153]) ).
cnf(refute_5_1211,plain,
( e13 != e13
| op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_5_1210,refute_5_1124]) ).
cnf(refute_5_1212,plain,
( e13 != e13
| op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_5_1211,refute_5_1208]) ).
cnf(refute_5_1213,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_5_204,refute_5_1212]) ).
cnf(refute_5_1214,plain,
( e12 != e12
| op1(e13,e10) != e12
| op1(e13,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(e12)]]) ).
cnf(refute_5_1215,plain,
( e12 != e12
| op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_5_1213,refute_5_1214]) ).
cnf(refute_5_1216,plain,
( e12 != e12
| op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_5_1215,refute_5_1193]) ).
cnf(refute_5_1217,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_5_1218,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_5_1217,refute_5_1216]) ).
cnf(refute_5_1219,plain,
( e13 = e10
| op1(e10,e10) = e11
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_5_1218,refute_5_1142]) ).
cnf(refute_5_1220,plain,
( op1(e10,e10) != e11
| op1(e10,e10) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[0],$fot(e13)]]) ).
cnf(refute_5_1221,plain,
( op1(e10,e10) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_5_1056,refute_5_1220]) ).
cnf(refute_5_1222,plain,
( e13 = e10
| e13 = e11
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_5_1219,refute_5_1221]) ).
cnf(refute_5_1223,plain,
( e13 = e11
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_5_1222,refute_5_1145]) ).
cnf(refute_5_1224,plain,
op1(e13,e12) = e13,
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_5_1223,refute_5_354]) ).
cnf(refute_5_1225,plain,
( op1(e13,e12) != e12
| op1(e13,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_5_1226,plain,
( op1(e13,e12) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_5_1224,refute_5_1225]) ).
cnf(refute_5_1227,plain,
( e13 = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_5_1186,refute_5_1226]) ).
cnf(refute_5_1228,plain,
( op1(e11,e12) = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_5_1227,refute_5_1139]) ).
cnf(refute_5_1229,plain,
( e12 != op1(e12,e12)
| op1(e12,e11) != e12
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_5_1230,plain,
( e12 != op1(e12,e12)
| op1(e11,e11) = e12
| op1(e12,e11) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_5_491,refute_5_1229]) ).
cnf(refute_5_1231,plain,
( e12 != op1(e12,e12)
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_5_1230,refute_5_335]) ).
cnf(refute_5_1232,plain,
( e12 != op1(e12,e12)
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_5_1231,refute_5_1136]) ).
cnf(refute_5_1233,plain,
e12 != op1(e12,e12),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_5_1232,refute_5_1139]) ).
cnf(refute_5_1234,plain,
( op1(e12,e12) != e12
| e12 = op1(e12,e12) ),
inference(subst,[],[refute_5_4:[bind(X,$fot(op1(e12,e12))),bind(Y,$fot(e12))]]) ).
cnf(refute_5_1235,plain,
op1(e12,e12) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e12,e12)) )],[refute_5_1234,refute_5_1233]) ).
cnf(refute_5_1236,plain,
op1(e11,e12) = e12,
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_5_1228,refute_5_1235]) ).
cnf(refute_5_1237,plain,
op1(e12,op1(e11,e12)) = op1(e12,op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e11,e12)))]]) ).
cnf(refute_5_1238,plain,
( op1(e11,e12) != e12
| op1(e12,op1(e11,e12)) != op1(e12,op1(e11,e12))
| op1(e12,op1(e11,e12)) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,op1(e11,e12))) ),[1,1],$fot(e12)]]) ).
cnf(refute_5_1239,plain,
( op1(e11,e12) != e12
| op1(e12,op1(e11,e12)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,op1(e11,e12))) )],[refute_5_1237,refute_5_1238]) ).
cnf(refute_5_1240,plain,
op1(e12,op1(e11,e12)) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_5_1236,refute_5_1239]) ).
cnf(refute_5_1241,plain,
op1(op1(e11,e12),op1(e11,e12)) = op1(op1(e11,e12),op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),op1(e11,e12)))]]) ).
cnf(refute_5_1242,plain,
( op1(e11,e12) != e12
| op1(op1(e11,e12),op1(e11,e12)) != op1(op1(e11,e12),op1(e11,e12))
| op1(op1(e11,e12),op1(e11,e12)) = op1(e12,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),op1(e11,e12)),op1(op1(e11,e12),op1(e11,e12))) ),[1,0],$fot(e12)]]) ).
cnf(refute_5_1243,plain,
( op1(e11,e12) != e12
| op1(op1(e11,e12),op1(e11,e12)) = op1(e12,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),op1(e11,e12)),op1(op1(e11,e12),op1(e11,e12))) )],[refute_5_1241,refute_5_1242]) ).
cnf(refute_5_1244,plain,
op1(op1(e11,e12),op1(e11,e12)) = op1(e12,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_5_1236,refute_5_1243]) ).
cnf(refute_5_1245,plain,
( op1(e12,op1(e11,e12)) != op1(e12,e12)
| op1(op1(e11,e12),op1(e11,e12)) != op1(e12,op1(e11,e12))
| op1(op1(e11,e12),op1(e11,e12)) = op1(e12,e12) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op1(op1(e11,e12),op1(e11,e12)))),bind(Y,$fot(op1(e12,op1(e11,e12)))),bind(Z,$fot(op1(e12,e12)))]]) ).
cnf(refute_5_1246,plain,
( op1(e12,op1(e11,e12)) != op1(e12,e12)
| op1(op1(e11,e12),op1(e11,e12)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),op1(e11,e12)),op1(e12,op1(e11,e12))) )],[refute_5_1244,refute_5_1245]) ).
cnf(refute_5_1247,plain,
op1(op1(e11,e12),op1(e11,e12)) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,e12)) )],[refute_5_1240,refute_5_1246]) ).
cnf(refute_5_1248,plain,
( op1(e12,e12) != e11
| op1(op1(e11,e12),op1(e11,e12)) != op1(e12,e12)
| op1(op1(e11,e12),op1(e11,e12)) = e11 ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op1(op1(e11,e12),op1(e11,e12)))),bind(Y,$fot(op1(e12,e12))),bind(Z,$fot(e11))]]) ).
cnf(refute_5_1249,plain,
( op1(e12,e12) != e11
| op1(op1(e11,e12),op1(e11,e12)) = e11 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),op1(e11,e12)),op1(e12,e12)) )],[refute_5_1247,refute_5_1248]) ).
cnf(refute_5_1250,plain,
op1(op1(e11,e12),op1(e11,e12)) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_5_1184,refute_5_1249]) ).
cnf(refute_5_1251,plain,
( op1(op1(e11,e12),op1(e11,e12)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),op1(e11,e12)),e12) ),[0],$fot(e11)]]) ).
cnf(refute_5_1252,plain,
( op1(op1(e11,e12),op1(e11,e12)) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),op1(e11,e12)),e11) )],[refute_5_1250,refute_5_1251]) ).
cnf(refute_5_1253,plain,
e11 = e12,
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),op1(e11,e12)),e12) )],[refute_5_1149,refute_5_1252]) ).
cnf(refute_5_1254,plain,
e12 = e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_5_1253,refute_5_715]) ).
cnf(refute_5_1255,plain,
op1(e10,e12) = op1(e10,e12),
introduced(tautology,[refl,[$fot(op1(e10,e12))]]) ).
cnf(refute_5_1256,plain,
( e12 != e11
| op1(e10,e12) != op1(e10,e12)
| op1(e10,e12) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),op1(e10,e12)) ),[1,1],$fot(e11)]]) ).
cnf(refute_5_1257,plain,
( e12 != e11
| op1(e10,e12) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e12)) )],[refute_5_1255,refute_5_1256]) ).
cnf(refute_5_1258,plain,
op1(e10,e12) = op1(e10,e11),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_5_1254,refute_5_1257]) ).
cnf(refute_5_1259,plain,
( op1(e10,e11) != e11
| op1(e10,e12) != op1(e10,e11)
| op1(e10,e12) = e11 ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e10,e11))),bind(Z,$fot(e11))]]) ).
cnf(refute_5_1260,plain,
( op1(e10,e11) != e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e11)) )],[refute_5_1258,refute_5_1259]) ).
cnf(refute_5_1261,plain,
op1(e10,e12) = e11,
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_5_1127,refute_5_1260]) ).
cnf(refute_5_1262,plain,
( op1(e10,e12) != e10
| op1(e10,e12) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[0],$fot(e11)]]) ).
cnf(refute_5_1263,plain,
( op1(e10,e12) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_5_1261,refute_5_1262]) ).
cnf(refute_5_1264,plain,
e11 = e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_5_1146,refute_5_1263]) ).
cnf(refute_5_1265,plain,
op1(e10,e11) = op1(e10,e11),
introduced(tautology,[refl,[$fot(op1(e10,e11))]]) ).
cnf(refute_5_1266,plain,
( e11 != e10
| op1(e10,e11) != op1(e10,e11)
| op1(e10,e11) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),op1(e10,e11)) ),[1,1],$fot(e10)]]) ).
cnf(refute_5_1267,plain,
( e11 != e10
| op1(e10,e11) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e11)) )],[refute_5_1265,refute_5_1266]) ).
cnf(refute_5_1268,plain,
op1(e10,e11) = op1(e10,e10),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_5_1264,refute_5_1267]) ).
cnf(refute_5_1269,plain,
( e11 != e10
| e12 != e11
| e12 = e10 ),
inference(subst,[],[refute_5_63:[bind(X,$fot(e12)),bind(Y,$fot(e11)),bind(Z,$fot(e10))]]) ).
cnf(refute_5_1270,plain,
( e11 != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_5_1254,refute_5_1269]) ).
cnf(refute_5_1271,plain,
e12 = e10,
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_5_1264,refute_5_1270]) ).
cnf(refute_5_1272,plain,
op1(e12,e11) = op1(e12,e11),
introduced(tautology,[refl,[$fot(op1(e12,e11))]]) ).
cnf(refute_5_1273,plain,
( e12 != e10
| op1(e12,e11) != op1(e12,e11)
| op1(e12,e11) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),op1(e12,e11)) ),[1,0],$fot(e10)]]) ).
cnf(refute_5_1274,plain,
( e12 != e10
| op1(e12,e11) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e11)) )],[refute_5_1272,refute_5_1273]) ).
cnf(refute_5_1275,plain,
op1(e12,e11) = op1(e10,e11),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_5_1271,refute_5_1274]) ).
cnf(refute_5_1276,plain,
( op1(e10,e11) != op1(e10,e10)
| op1(e12,e11) != op1(e10,e11)
| op1(e12,e11) = op1(e10,e10) ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op1(e12,e11))),bind(Y,$fot(op1(e10,e11))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_5_1277,plain,
( op1(e10,e11) != op1(e10,e10)
| op1(e12,e11) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e10,e11)) )],[refute_5_1275,refute_5_1276]) ).
cnf(refute_5_1278,plain,
op1(e12,e11) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e10)) )],[refute_5_1268,refute_5_1277]) ).
cnf(refute_5_1279,plain,
( op1(e10,e10) != e13
| op1(e12,e11) != op1(e10,e10)
| op1(e12,e11) = e13 ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op1(e12,e11))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e13))]]) ).
cnf(refute_5_1280,plain,
( op1(e10,e10) != e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e10,e10)) )],[refute_5_1278,refute_5_1279]) ).
cnf(refute_5_1281,plain,
op1(e12,e11) = e13,
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_5_1056,refute_5_1280]) ).
cnf(refute_5_1282,plain,
( op1(e12,e11) != e12
| op1(e12,e11) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0],$fot(e13)]]) ).
cnf(refute_5_1283,plain,
( op1(e12,e11) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_5_1281,refute_5_1282]) ).
cnf(refute_5_1284,plain,
( e12 != e10
| e13 != e12
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(e13,e12) ),[1],$fot(e10)]]) ).
cnf(refute_5_1285,plain,
( e13 != e12
| e13 = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_5_1271,refute_5_1284]) ).
cnf(refute_5_1286,plain,
( op1(e12,e11) != e12
| e13 = e10 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_5_1283,refute_5_1285]) ).
cnf(refute_5_1287,plain,
e13 = e10,
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_5_1140,refute_5_1286]) ).
cnf(refute_5_1288,plain,
h1(e13) = h1(e13),
introduced(tautology,[refl,[$fot(h1(e13))]]) ).
cnf(refute_5_1289,plain,
( e13 != e10
| h1(e13) != h1(e13)
| h1(e13) = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),h1(e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_5_1290,plain,
( e13 != e10
| h1(e13) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e13),h1(e13)) )],[refute_5_1288,refute_5_1289]) ).
cnf(refute_5_1291,plain,
h1(e13) = h1(e10),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_5_1287,refute_5_1290]) ).
cnf(refute_5_1292,plain,
( h1(e10) != e22
| h1(e13) != h1(e10)
| h1(e13) = e22 ),
inference(subst,[],[refute_5_63:[bind(X,$fot(h1(e13))),bind(Y,$fot(h1(e10))),bind(Z,$fot(e22))]]) ).
cnf(refute_5_1293,plain,
( h1(e10) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),h1(e10)) )],[refute_5_1291,refute_5_1292]) ).
cnf(refute_5_1294,plain,
h1(e13) = e22,
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_5_1113,refute_5_1293]) ).
cnf(refute_5_1295,plain,
( h1(e13) != e20
| h1(e13) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(e22)]]) ).
cnf(refute_5_1296,plain,
( h1(e13) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_5_1294,refute_5_1295]) ).
cnf(refute_5_1297,plain,
e22 = e20,
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_5_1095,refute_5_1296]) ).
cnf(refute_5_1298,plain,
op2(e20,e22) = op2(e20,e22),
introduced(tautology,[refl,[$fot(op2(e20,e22))]]) ).
cnf(refute_5_1299,plain,
( e22 != e20
| op2(e20,e22) != op2(e20,e22)
| op2(e20,e22) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),op2(e20,e22)) ),[1,1],$fot(e20)]]) ).
cnf(refute_5_1300,plain,
( e22 != e20
| op2(e20,e22) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e22)) )],[refute_5_1298,refute_5_1299]) ).
cnf(refute_5_1301,plain,
op2(e20,e22) = op2(e20,e20),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_5_1297,refute_5_1300]) ).
cnf(refute_5_1302,plain,
( op2(e20,e20) != e23
| op2(e20,e22) != op2(e20,e20)
| op2(e20,e22) = e23 ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e23))]]) ).
cnf(refute_5_1303,plain,
( op2(e20,e20) != e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e20)) )],[refute_5_1301,refute_5_1302]) ).
cnf(refute_5_1304,plain,
op2(e20,e22) = e23,
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_5_1094,refute_5_1303]) ).
cnf(refute_5_1305,plain,
( op2(e20,e22) != e20
| op2(e20,e22) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0],$fot(e23)]]) ).
cnf(refute_5_1306,plain,
( op2(e20,e22) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_5_1304,refute_5_1305]) ).
cnf(refute_5_1307,plain,
e23 = e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_5_1089,refute_5_1306]) ).
cnf(refute_5_1308,plain,
op2(e23,e21) = op2(e23,e21),
introduced(tautology,[refl,[$fot(op2(e23,e21))]]) ).
cnf(refute_5_1309,plain,
( e23 != e20
| op2(e23,e21) != op2(e23,e21)
| op2(e23,e21) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),op2(e23,e21)) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_1310,plain,
( e23 != e20
| op2(e23,e21) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e21)) )],[refute_5_1308,refute_5_1309]) ).
cnf(refute_5_1311,plain,
op2(e23,e21) = op2(e20,e21),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_5_1307,refute_5_1310]) ).
cnf(refute_5_1312,plain,
( op2(e20,e21) != e21
| op2(e23,e21) != op2(e20,e21)
| op2(e23,e21) = e21 ),
inference(subst,[],[refute_5_63:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e21))]]) ).
cnf(refute_5_1313,plain,
( op2(e20,e21) != e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e20,e21)) )],[refute_5_1311,refute_5_1312]) ).
cnf(refute_5_1314,plain,
op2(e23,e21) = e21,
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_5_1071,refute_5_1313]) ).
cnf(refute_5_1315,plain,
( e20 != op2(e23,e21)
| op2(e23,e21) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e21) ),[0],$fot(op2(e23,e21))]]) ).
cnf(refute_5_1316,plain,
( e20 != op2(e23,e21)
| e20 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_5_1314,refute_5_1315]) ).
cnf(refute_5_1317,plain,
e20 = e21,
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_5_13,refute_5_1316]) ).
cnf(refute_5_1318,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_5_1317,refute_5_998]) ).
fof(negate_6_0,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 )
& ( 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)) ),
inference(negate,[],[subgoal_6]) ).
fof(normalize_6_0,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_6_1,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_2,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_3,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13 )
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_6_4,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_6_5,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13 ) ) ),
inference(simplify,[],[normalize_6_3,normalize_6_4]) ).
fof(normalize_6_6,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e10),op1(e11,e10)) = e10 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e11),op1(e11,e11)) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e12),op1(e11,e12)) = e12 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 )
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_6_5]) ).
fof(normalize_6_7,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(conjunct,[],[normalize_6_6]) ).
fof(normalize_6_8,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_6_9,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_6_10,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(simplify,[],[normalize_6_8,normalize_6_9]) ).
fof(normalize_6_11,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e22),op2(e21,e22)) = e22 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_6_10]) ).
fof(normalize_6_12,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 ),
inference(conjunct,[],[normalize_6_11]) ).
fof(normalize_6_13,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,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) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_6_14,plain,
op2(e20,e20) != op2(e21,e20),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_15,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_6_16,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_6_15]) ).
fof(normalize_6_17,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e21),op2(e20,e21)) = e21
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_6_9]) ).
fof(normalize_6_18,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_6_17]) ).
fof(normalize_6_19,plain,
( ( 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(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_6_20,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_21,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_6_22,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_6_21]) ).
fof(normalize_6_23,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_6_21]) ).
fof(normalize_6_24,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_6_25,plain,
e20 != e22,
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_26,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_27,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_6_21]) ).
fof(normalize_6_28,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_29,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
& 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))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_6_0]) ).
fof(normalize_6_30,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_6_15]) ).
fof(normalize_6_31,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_6_32,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_6_31]) ).
fof(normalize_6_33,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_6_34,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_6_33]) ).
fof(normalize_6_35,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
& 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))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_6_29,normalize_6_30,normalize_6_32,normalize_6_34]) ).
fof(normalize_6_36,plain,
h4(op1(e11,e12)) != op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_37,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_6_38,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_6_37]) ).
fof(normalize_6_39,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_6_37]) ).
fof(normalize_6_40,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,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) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_6_41,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_42,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e11),op1(e10,e11)) = e11
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_6_4]) ).
fof(normalize_6_43,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_6_42]) ).
fof(normalize_6_44,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_45,plain,
op1(e11,e11) != op1(e11,e12),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_46,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_6_42]) ).
fof(normalize_6_47,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_48,plain,
( ( 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(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_6_49,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(conjunct,[],[normalize_6_48]) ).
fof(normalize_6_50,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_6_51,plain,
e10 != e12,
inference(conjunct,[],[normalize_6_50]) ).
fof(normalize_6_52,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_53,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_54,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_55,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_6_56,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_6_55]) ).
fof(normalize_6_57,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_58,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_59,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_6_55]) ).
fof(normalize_6_60,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_6_37]) ).
fof(normalize_6_61,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_62,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_63,plain,
h3(e11) = op2(e22,e22),
inference(conjunct,[],[normalize_6_33]) ).
fof(normalize_6_64,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_6_17]) ).
fof(normalize_6_65,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_6_66,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_6_65]) ).
fof(normalize_6_67,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_68,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_69,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_70,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_6_31]) ).
fof(normalize_6_71,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_72,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23 ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_6_73,plain,
( ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e22),op2(e22,e22)) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 )
& ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_6_72]) ).
fof(normalize_6_74,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 ),
inference(conjunct,[],[normalize_6_73]) ).
fof(normalize_6_75,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_76,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_77,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_6_78,plain,
( definitionFOFtoCNF_3
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_6_77,normalize_6_10,normalize_6_9]) ).
fof(normalize_6_79,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_6_78,normalize_6_72]) ).
fof(normalize_6_80,plain,
( ( op2(op2(e23,e20),op2(e23,e20)) = e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e22
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_6_79]) ).
fof(normalize_6_81,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_6_80]) ).
fof(normalize_6_82,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(conjunct,[],[normalize_6_65]) ).
fof(normalize_6_83,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_84,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_6_80]) ).
fof(normalize_6_85,plain,
h1(e12) = op2(op2(e20,op2(e20,e20)),e20),
inference(conjunct,[],[normalize_6_15]) ).
fof(normalize_6_86,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_6_15]) ).
fof(normalize_6_87,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference(conjunct,[],[normalize_6_73]) ).
fof(normalize_6_88,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_89,plain,
e21 != e23,
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_90,plain,
e22 != e23,
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_91,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 ),
inference(conjunct,[],[normalize_6_73]) ).
fof(normalize_6_92,plain,
op2(e21,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_93,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_94,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_6_65]) ).
fof(normalize_6_95,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_96,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_97,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(conjunct,[],[normalize_6_65]) ).
fof(normalize_6_98,plain,
e20 != e23,
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_99,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_100,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(conjunct,[],[normalize_6_65]) ).
fof(normalize_6_101,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_102,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_103,plain,
op2(e22,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_104,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_105,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_6_65]) ).
fof(normalize_6_106,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_107,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_108,plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_109,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_110,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_111,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(conjunct,[],[normalize_6_48]) ).
fof(normalize_6_112,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_113,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_114,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_115,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_116,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_117,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e13),op1(e12,e13)) != e13 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_6_118,plain,
( ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e11),op1(e12,e11)) = e11 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e12),op1(e12,e12)) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 )
& ( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e13),op1(e12,e13)) != e13
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_6_117]) ).
fof(normalize_6_119,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 ),
inference(conjunct,[],[normalize_6_118]) ).
fof(normalize_6_120,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_121,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 )
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_6_122,plain,
( definitionFOFtoCNF_0
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(simplify,[],[normalize_6_121,normalize_6_5,normalize_6_4]) ).
fof(normalize_6_123,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(simplify,[],[normalize_6_122,normalize_6_117]) ).
fof(normalize_6_124,plain,
( ( op1(op1(e13,e10),op1(e13,e10)) = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_6_123]) ).
fof(normalize_6_125,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_6_124]) ).
fof(normalize_6_126,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_6_37]) ).
fof(normalize_6_127,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_6_124]) ).
fof(normalize_6_128,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_129,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_6_55]) ).
fof(normalize_6_130,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_131,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_132,plain,
op1(e11,e10) != op1(e11,e13),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_133,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_6_55]) ).
fof(normalize_6_134,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_135,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 ),
inference(conjunct,[],[normalize_6_118]) ).
fof(normalize_6_136,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(conjunct,[],[normalize_6_48]) ).
fof(normalize_6_137,plain,
op1(e13,e10) != op1(e13,e11),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_138,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_139,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(conjunct,[],[normalize_6_31]) ).
fof(normalize_6_140,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_141,plain,
e20 != e21,
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_142,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_143,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_144,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_6_65]) ).
fof(normalize_6_145,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_146,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_147,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_6_65]) ).
fof(normalize_6_148,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_149,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_6_65]) ).
fof(normalize_6_150,plain,
op2(e21,e21) != op2(e21,e22),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_151,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(conjunct,[],[normalize_6_55]) ).
fof(normalize_6_152,plain,
op1(e11,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_153,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_154,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(conjunct,[],[normalize_6_48]) ).
fof(normalize_6_155,plain,
e11 != e13,
inference(conjunct,[],[normalize_6_50]) ).
fof(normalize_6_156,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_157,plain,
e12 != e13,
inference(conjunct,[],[normalize_6_50]) ).
fof(normalize_6_158,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 ),
inference(conjunct,[],[normalize_6_11]) ).
fof(normalize_6_159,plain,
op1(e10,e11) != op1(e10,e12),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_160,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_161,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_162,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(conjunct,[],[normalize_6_55]) ).
fof(normalize_6_163,plain,
op1(e10,e11) != op1(e10,e13),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_164,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_165,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_6_65]) ).
fof(normalize_6_166,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_167,plain,
op1(e11,e10) != op1(e11,e11),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_168,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e11),op1(e12,e11)) = e11 ),
inference(conjunct,[],[normalize_6_118]) ).
fof(normalize_6_169,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(conjunct,[],[normalize_6_48]) ).
fof(normalize_6_170,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(conjunct,[],[normalize_6_48]) ).
fof(normalize_6_171,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_172,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(conjunct,[],[normalize_6_48]) ).
fof(normalize_6_173,plain,
e10 != e11,
inference(conjunct,[],[normalize_6_50]) ).
fof(normalize_6_174,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_6_48]) ).
fof(normalize_6_175,plain,
e10 != e13,
inference(conjunct,[],[normalize_6_50]) ).
fof(normalize_6_176,plain,
op1(e10,e10) != op1(e10,e11),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_177,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_178,plain,
op1(e10,e11) != op1(e12,e11),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_179,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(conjunct,[],[normalize_6_55]) ).
fof(normalize_6_180,plain,
op1(e12,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_181,plain,
op1(e11,e11) != op1(e12,e11),
inference(conjunct,[],[normalize_6_40]) ).
fof(normalize_6_182,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_6_40]) ).
cnf(refute_6_0,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_6_1]) ).
cnf(refute_6_1,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_6_2]) ).
cnf(refute_6_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_6_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_6_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_6_2,refute_6_3]) ).
cnf(refute_6_5,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_6_6,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_6_0,refute_6_5]) ).
cnf(refute_6_7,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_6_8,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_6_9,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_6_7,refute_6_8]) ).
cnf(refute_6_10,plain,
op1(e13,op1(e13,e13)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_6,refute_6_9]) ).
cnf(refute_6_11,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e11)
| e10 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_6_12,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e11)) )],[refute_6_10,refute_6_11]) ).
cnf(refute_6_13,plain,
e10 = op1(e13,e11),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_6_1,refute_6_12]) ).
cnf(refute_6_14,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(canonicalize,[],[normalize_6_7]) ).
cnf(refute_6_15,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 ),
inference(canonicalize,[],[normalize_6_12]) ).
cnf(refute_6_16,plain,
op2(e20,e20) != op2(e21,e20),
inference(canonicalize,[],[normalize_6_14]) ).
cnf(refute_6_17,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_6_16]) ).
cnf(refute_6_18,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_6_19,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_6_17,refute_6_18]) ).
cnf(refute_6_20,plain,
( h1(e11) != op2(e21,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_6_21,plain,
( h1(e11) != op2(e21,e20)
| op2(e20,e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_19,refute_6_20]) ).
cnf(refute_6_22,plain,
h1(e11) != op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_6_21,refute_6_16]) ).
cnf(refute_6_23,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_6_18]) ).
cnf(refute_6_24,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_6_20]) ).
cnf(refute_6_25,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_6_26,plain,
( op2(e20,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_19,refute_6_25]) ).
cnf(refute_6_27,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_6_24,refute_6_26]) ).
cnf(refute_6_28,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_6_22]) ).
cnf(refute_6_29,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_6_23]) ).
cnf(refute_6_30,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_6_31,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_6_29,refute_6_30]) ).
cnf(refute_6_32,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_6_33,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_34,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_6_32,refute_6_33]) ).
cnf(refute_6_35,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_6_31,refute_6_34]) ).
cnf(refute_6_36,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_6_37,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_6_35,refute_6_36]) ).
cnf(refute_6_38,plain,
e22 = op2(e20,e23),
inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),e23)) )],[refute_6_28,refute_6_37]) ).
cnf(refute_6_39,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_6_40,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_6_38,refute_6_39]) ).
cnf(refute_6_41,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_6_42,plain,
( op2(e20,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_40,refute_6_41]) ).
cnf(refute_6_43,plain,
( e22 = e20
| h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_6_27,refute_6_42]) ).
cnf(refute_6_44,plain,
e20 != e22,
inference(canonicalize,[],[normalize_6_25]) ).
cnf(refute_6_45,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_6_46,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_6_45,refute_6_44]) ).
cnf(refute_6_47,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_6_43,refute_6_46]) ).
cnf(refute_6_48,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_6_26]) ).
cnf(refute_6_49,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_6_27]) ).
cnf(refute_6_50,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_6_51,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_6_49,refute_6_50]) ).
cnf(refute_6_52,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_6_53,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_6_54,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_6_52,refute_6_53]) ).
cnf(refute_6_55,plain,
op2(e23,op2(e23,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_51,refute_6_54]) ).
cnf(refute_6_56,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e21)
| e20 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_6_57,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e21)) )],[refute_6_55,refute_6_56]) ).
cnf(refute_6_58,plain,
e20 = op2(e23,e21),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_6_29,refute_6_57]) ).
cnf(refute_6_59,plain,
( e20 != op2(e23,e21)
| op2(e23,e21) = e20 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_6_60,plain,
op2(e23,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_6_58,refute_6_59]) ).
cnf(refute_6_61,plain,
( op2(e20,e21) != e20
| op2(e23,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_6_62,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_6_60,refute_6_61]) ).
cnf(refute_6_63,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_6_62,refute_6_48]) ).
cnf(refute_6_64,plain,
( h1(e11) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_6_47,refute_6_63]) ).
cnf(refute_6_65,plain,
( op2(e20,e22) != e20
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(e20,op2(e20,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) ),[0,0],$fot(e20)]]) ).
cnf(refute_6_66,plain,
( op2(op2(e20,e22),op2(e20,e22)) != e22
| h1(e11) = e20
| op2(e20,op2(e20,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_6_64,refute_6_65]) ).
cnf(refute_6_67,plain,
( h1(e11) = e20
| op2(e20,op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) )],[refute_6_23,refute_6_66]) ).
cnf(refute_6_68,plain,
( op2(e20,e22) != e20
| op2(e20,op2(e20,e22)) != e22
| op2(e20,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e22)),e22) ),[0,1],$fot(e20)]]) ).
cnf(refute_6_69,plain,
( op2(e20,op2(e20,e22)) != e22
| h1(e11) = e20
| op2(e20,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_6_64,refute_6_68]) ).
cnf(refute_6_70,plain,
( h1(e11) = e20
| op2(e20,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),e22) )],[refute_6_67,refute_6_69]) ).
cnf(refute_6_71,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_6_72,plain,
( op2(e20,e20) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_19,refute_6_71]) ).
cnf(refute_6_73,plain,
( h1(e11) = e20
| h1(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_6_70,refute_6_72]) ).
cnf(refute_6_74,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_6_28]) ).
cnf(refute_6_75,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_6_76,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_19,refute_6_75]) ).
cnf(refute_6_77,plain,
( h1(e11) != e22
| op2(e20,e23) != e22
| h1(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_6_78,plain,
( h1(e11) != e22
| h1(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_40,refute_6_77]) ).
cnf(refute_6_79,plain,
( h1(e11) != e22
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e23)) )],[refute_6_78,refute_6_76]) ).
cnf(refute_6_80,plain,
h1(e11) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_6_79,refute_6_74]) ).
cnf(refute_6_81,plain,
( h1(e11) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_6_73,refute_6_80]) ).
cnf(refute_6_82,plain,
( e20 != op2(e21,e20)
| h1(e11) != e20
| h1(e11) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_6_83,plain,
( e20 != op2(e21,e20)
| h1(e11) = op2(e21,e20)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_81,refute_6_82]) ).
cnf(refute_6_84,plain,
( e20 != op2(e21,e20)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e20)) )],[refute_6_83,refute_6_22]) ).
cnf(refute_6_85,plain,
h4(op1(e11,e12)) != op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_6_36]) ).
cnf(refute_6_86,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_6_38]) ).
cnf(refute_6_87,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_6_88,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_6_4,refute_6_87]) ).
cnf(refute_6_89,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_6_90,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_6_35,refute_6_89]) ).
cnf(refute_6_91,plain,
op2(op2(e23,op2(e23,e23)),e23) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_40,refute_6_90]) ).
cnf(refute_6_92,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_6_93,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),e22) )],[refute_6_91,refute_6_92]) ).
cnf(refute_6_94,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_6_86,refute_6_93]) ).
cnf(refute_6_95,plain,
op2(e21,h4(e12)) = op2(e21,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).
cnf(refute_6_96,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) != op2(e21,h4(e12))
| op2(e21,h4(e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_6_97,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) )],[refute_6_95,refute_6_96]) ).
cnf(refute_6_98,plain,
op2(e21,h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_6_94,refute_6_97]) ).
cnf(refute_6_99,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_6_39]) ).
cnf(refute_6_100,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_6_101,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_51,refute_6_100]) ).
cnf(refute_6_102,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_6_99,refute_6_101]) ).
cnf(refute_6_103,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_6_104,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(e21)]]) ).
cnf(refute_6_105,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_6_103,refute_6_104]) ).
cnf(refute_6_106,plain,
op2(h4(e11),h4(e12)) = op2(e21,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_102,refute_6_105]) ).
cnf(refute_6_107,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) != op2(e21,h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).
cnf(refute_6_108,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,h4(e12))) )],[refute_6_106,refute_6_107]) ).
cnf(refute_6_109,plain,
op2(h4(e11),h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e22)) )],[refute_6_98,refute_6_108]) ).
cnf(refute_6_110,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) != op2(e21,e22)
| h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_6_111,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,e22)) )],[refute_6_109,refute_6_110]) ).
cnf(refute_6_112,plain,
h4(op1(e11,e12)) != op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_6_111,refute_6_85]) ).
cnf(refute_6_113,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_6_41]) ).
cnf(refute_6_114,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_6_43]) ).
cnf(refute_6_115,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(canonicalize,[],[normalize_6_44]) ).
cnf(refute_6_116,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = e10 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).
cnf(refute_6_117,plain,
op1(e13,op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_6_1,refute_6_116]) ).
cnf(refute_6_118,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(op1(e13,op1(e13,e13)),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_6_119,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_6_120,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) )],[refute_6_118,refute_6_119]) ).
cnf(refute_6_121,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_6_117,refute_6_120]) ).
cnf(refute_6_122,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) != op1(e10,e13)
| e12 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e13)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_6_123,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| e12 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(e10,e13)) )],[refute_6_121,refute_6_122]) ).
cnf(refute_6_124,plain,
e12 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),e13)) )],[refute_6_115,refute_6_123]) ).
cnf(refute_6_125,plain,
( e12 != op1(e10,e13)
| op1(e10,e13) = e12 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_6_126,plain,
op1(e10,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_6_124,refute_6_125]) ).
cnf(refute_6_127,plain,
op1(e12,op1(e10,e13)) = op1(e12,op1(e10,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e10,e13)))]]) ).
cnf(refute_6_128,plain,
( op1(e10,e13) != e12
| op1(e12,op1(e10,e13)) != op1(e12,op1(e10,e13))
| op1(e12,op1(e10,e13)) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_6_129,plain,
( op1(e10,e13) != e12
| op1(e12,op1(e10,e13)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) )],[refute_6_127,refute_6_128]) ).
cnf(refute_6_130,plain,
op1(e12,op1(e10,e13)) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_126,refute_6_129]) ).
cnf(refute_6_131,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(op1(e10,e13),op1(e10,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e10,e13),op1(e10,e13)))]]) ).
cnf(refute_6_132,plain,
( op1(e10,e13) != e12
| op1(op1(e10,e13),op1(e10,e13)) != op1(op1(e10,e13),op1(e10,e13))
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(op1(e10,e13),op1(e10,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_6_133,plain,
( op1(e10,e13) != e12
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(op1(e10,e13),op1(e10,e13))) )],[refute_6_131,refute_6_132]) ).
cnf(refute_6_134,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_126,refute_6_133]) ).
cnf(refute_6_135,plain,
( op1(e12,op1(e10,e13)) != op1(e12,e12)
| op1(op1(e10,e13),op1(e10,e13)) != op1(e12,op1(e10,e13))
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op1(op1(e10,e13),op1(e10,e13)))),bind(Y,$fot(op1(e12,op1(e10,e13)))),bind(Z,$fot(op1(e12,e12)))]]) ).
cnf(refute_6_136,plain,
( op1(e12,op1(e10,e13)) != op1(e12,e12)
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(e12,op1(e10,e13))) )],[refute_6_134,refute_6_135]) ).
cnf(refute_6_137,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,e12)) )],[refute_6_130,refute_6_136]) ).
cnf(refute_6_138,plain,
( op1(op1(e10,e13),op1(e10,e13)) != e13
| op1(op1(e10,e13),op1(e10,e13)) != op1(e12,e12)
| op1(e12,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),e13) ),[0],$fot(op1(e12,e12))]]) ).
cnf(refute_6_139,plain,
( op1(op1(e10,e13),op1(e10,e13)) != e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(e12,e12)) )],[refute_6_137,refute_6_138]) ).
cnf(refute_6_140,plain,
( op1(e12,e12) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),e13) )],[refute_6_114,refute_6_139]) ).
cnf(refute_6_141,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_6_142,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_140,refute_6_141]) ).
cnf(refute_6_143,plain,
( op1(e11,e12) != e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_6_142,refute_6_113]) ).
cnf(refute_6_144,plain,
op1(e11,e11) != op1(e11,e12),
inference(canonicalize,[],[normalize_6_45]) ).
cnf(refute_6_145,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_6_46]) ).
cnf(refute_6_146,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_6_47]) ).
cnf(refute_6_147,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(canonicalize,[],[normalize_6_49]) ).
cnf(refute_6_148,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_6_149,plain,
( op1(e10,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_126,refute_6_148]) ).
cnf(refute_6_150,plain,
( e12 = e10
| op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_6_147,refute_6_149]) ).
cnf(refute_6_151,plain,
e10 != e12,
inference(canonicalize,[],[normalize_6_51]) ).
cnf(refute_6_152,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_6_153,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_6_152,refute_6_151]) ).
cnf(refute_6_154,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_6_150,refute_6_153]) ).
cnf(refute_6_155,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_6_52]) ).
cnf(refute_6_156,plain,
( e10 != op1(e13,e11)
| op1(e13,e11) = e10 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_6_157,plain,
op1(e13,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e11)) )],[refute_6_13,refute_6_156]) ).
cnf(refute_6_158,plain,
( op1(e10,e11) != e10
| op1(e13,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_6_159,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_6_157,refute_6_158]) ).
cnf(refute_6_160,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_6_159,refute_6_155]) ).
cnf(refute_6_161,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_6_154,refute_6_160]) ).
cnf(refute_6_162,plain,
( op1(e10,e12) != e10
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e10,op1(e10,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) ),[0,0],$fot(e10)]]) ).
cnf(refute_6_163,plain,
( op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e10,e10) = e10
| op1(e10,op1(e10,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_6_161,refute_6_162]) ).
cnf(refute_6_164,plain,
( op1(e10,e10) = e10
| op1(e10,op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) )],[refute_6_145,refute_6_163]) ).
cnf(refute_6_165,plain,
( op1(e10,e12) != e10
| op1(e10,op1(e10,e12)) != e12
| op1(e10,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) ),[0,1],$fot(e10)]]) ).
cnf(refute_6_166,plain,
( op1(e10,op1(e10,e12)) != e12
| op1(e10,e10) = e10
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_6_161,refute_6_165]) ).
cnf(refute_6_167,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) )],[refute_6_164,refute_6_166]) ).
cnf(refute_6_168,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_6_53]) ).
cnf(refute_6_169,plain,
( op1(e10,e10) != e12
| op1(e10,e13) != e12
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_6_170,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_126,refute_6_169]) ).
cnf(refute_6_171,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_6_170,refute_6_168]) ).
cnf(refute_6_172,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_6_167,refute_6_171]) ).
cnf(refute_6_173,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) != e10
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_6_174,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) = op1(e10,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_6_172,refute_6_173]) ).
cnf(refute_6_175,plain,
( e10 != op1(e10,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_6_174,refute_6_146]) ).
cnf(refute_6_176,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_6_54]) ).
cnf(refute_6_177,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_6_178,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_140,refute_6_177]) ).
cnf(refute_6_179,plain,
( op1(e10,e12) != e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_6_178,refute_6_176]) ).
cnf(refute_6_180,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_6_56]) ).
cnf(refute_6_181,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_6_57]) ).
cnf(refute_6_182,plain,
( op1(e10,e12) != e12
| op1(e10,e13) != e12
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_6_183,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_126,refute_6_182]) ).
cnf(refute_6_184,plain,
op1(e10,e12) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_6_183,refute_6_181]) ).
cnf(refute_6_185,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_6_180,refute_6_184]) ).
cnf(refute_6_186,plain,
( e13 != e13
| op1(e10,e12) != e13
| op1(e10,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e13) ),[1],$fot(e13)]]) ).
cnf(refute_6_187,plain,
( e13 != e13
| op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_6_185,refute_6_186]) ).
cnf(refute_6_188,plain,
( e13 != e13
| op1(e10,e12) = e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_6_187,refute_6_179]) ).
cnf(refute_6_189,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_6_190,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_189,refute_6_188]) ).
cnf(refute_6_191,plain,
( e10 != e10
| op1(e10,e12) != e10
| e10 = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e10,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_6_192,plain,
( e10 != e10
| e10 = op1(e10,e12)
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_6_190,refute_6_191]) ).
cnf(refute_6_193,plain,
( e10 != e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,op1(e10,e12)) )],[refute_6_192,refute_6_175]) ).
cnf(refute_6_194,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_6_195,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_6_194,refute_6_193]) ).
cnf(refute_6_196,plain,
( op1(e10,e12) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e11,op1(e10,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) ),[0,0],$fot(e11)]]) ).
cnf(refute_6_197,plain,
( op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e11,op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_195,refute_6_196]) ).
cnf(refute_6_198,plain,
( op1(e11,op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) )],[refute_6_145,refute_6_197]) ).
cnf(refute_6_199,plain,
( op1(e10,e12) != e11
| op1(e11,op1(e10,e12)) != e12
| op1(e11,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e10,e12)),e12) ),[0,1],$fot(e11)]]) ).
cnf(refute_6_200,plain,
( op1(e11,op1(e10,e12)) != e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_195,refute_6_199]) ).
cnf(refute_6_201,plain,
( op1(e11,e11) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e10,e12)),e12) )],[refute_6_198,refute_6_200]) ).
cnf(refute_6_202,plain,
( e12 != op1(e11,e12)
| op1(e11,e11) != e12
| op1(e11,e11) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_6_203,plain,
( e12 != op1(e11,e12)
| op1(e11,e11) = op1(e11,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_6_201,refute_6_202]) ).
cnf(refute_6_204,plain,
( e12 != op1(e11,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e12)) )],[refute_6_203,refute_6_144]) ).
cnf(refute_6_205,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_6_58]) ).
cnf(refute_6_206,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_6_207,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_195,refute_6_206]) ).
cnf(refute_6_208,plain,
( e11 != op1(e11,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_6_207,refute_6_205]) ).
cnf(refute_6_209,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_6_59]) ).
cnf(refute_6_210,plain,
( e11 != e11
| op1(e11,e12) != e11
| e11 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_6_211,plain,
( e11 != e11
| e11 = op1(e11,e12)
| op1(e11,e12) = e10
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_6_209,refute_6_210]) ).
cnf(refute_6_212,plain,
( e11 != e11
| op1(e11,e12) = e10
| op1(e11,e12) = e12
| op1(e11,e12) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_6_211,refute_6_208]) ).
cnf(refute_6_213,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_6_214,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e12
| op1(e11,e12) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_213,refute_6_212]) ).
cnf(refute_6_215,plain,
( e12 != e12
| op1(e11,e12) != e12
| e12 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_6_216,plain,
( e12 != e12
| e12 = op1(e11,e12)
| op1(e11,e12) = e10
| op1(e11,e12) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_6_214,refute_6_215]) ).
cnf(refute_6_217,plain,
( e12 != e12
| op1(e11,e12) = e10
| op1(e11,e12) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e12)) )],[refute_6_216,refute_6_204]) ).
cnf(refute_6_218,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_6_219,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_6_218,refute_6_217]) ).
cnf(refute_6_220,plain,
( e13 != e13
| op1(e11,e12) != e13
| op1(e11,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e13) ),[1],$fot(e13)]]) ).
cnf(refute_6_221,plain,
( e13 != e13
| op1(e11,e12) = e10
| op1(e11,e12) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_6_219,refute_6_220]) ).
cnf(refute_6_222,plain,
( e13 != e13
| op1(e11,e12) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_6_221,refute_6_143]) ).
cnf(refute_6_223,plain,
( op1(e11,e12) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_189,refute_6_222]) ).
cnf(refute_6_224,plain,
( h4(e10) != op2(e21,e22)
| op1(e11,e12) != e10
| h4(op1(e11,e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0,0],$fot(e10)]]) ).
cnf(refute_6_225,plain,
( h4(e10) != op2(e21,e22)
| h4(op1(e11,e12)) = op2(e21,e22)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_6_223,refute_6_224]) ).
cnf(refute_6_226,plain,
( h4(e10) != op2(e21,e22)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_6_225,refute_6_112]) ).
cnf(refute_6_227,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_6_60]) ).
cnf(refute_6_228,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_6_229,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_6_31,refute_6_228]) ).
cnf(refute_6_230,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_6_227,refute_6_229]) ).
cnf(refute_6_231,plain,
( e20 != op2(e21,e22)
| h4(e10) != e20
| h4(e10) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_6_232,plain,
( e20 != op2(e21,e22)
| h4(e10) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_230,refute_6_231]) ).
cnf(refute_6_233,plain,
( e20 != op2(e21,e22)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e22)) )],[refute_6_232,refute_6_226]) ).
cnf(refute_6_234,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_6_61]) ).
cnf(refute_6_235,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_6_62]) ).
cnf(refute_6_236,plain,
h3(e11) = op2(e22,e22),
inference(canonicalize,[],[normalize_6_63]) ).
cnf(refute_6_237,plain,
( h3(e11) != op2(e22,e22)
| op2(e22,e22) = h3(e11) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_6_238,plain,
op2(e22,e22) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_6_236,refute_6_237]) ).
cnf(refute_6_239,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_6_240,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_238,refute_6_239]) ).
cnf(refute_6_241,plain,
h3(e11) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_6_240,refute_6_235]) ).
cnf(refute_6_242,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_6_64]) ).
cnf(refute_6_243,plain,
op2(e22,op2(e20,e23)) = op2(e22,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e20,e23)))]]) ).
cnf(refute_6_244,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_6_245,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_6_243,refute_6_244]) ).
cnf(refute_6_246,plain,
op2(e22,op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_40,refute_6_245]) ).
cnf(refute_6_247,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(op2(e20,e23),op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),op2(e20,e23)))]]) ).
cnf(refute_6_248,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) != op2(op2(e20,e23),op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) ),[1,0],$fot(e22)]]) ).
cnf(refute_6_249,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) )],[refute_6_247,refute_6_248]) ).
cnf(refute_6_250,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_40,refute_6_249]) ).
cnf(refute_6_251,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,op2(e20,e23)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_6_252,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_6_250,refute_6_251]) ).
cnf(refute_6_253,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,e22)) )],[refute_6_246,refute_6_252]) ).
cnf(refute_6_254,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_6_255,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,e22)) )],[refute_6_253,refute_6_254]) ).
cnf(refute_6_256,plain,
op2(op2(e20,e23),op2(e20,e23)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_238,refute_6_255]) ).
cnf(refute_6_257,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| op2(op2(e20,e23),op2(e20,e23)) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_6_258,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),h3(e11)) )],[refute_6_256,refute_6_257]) ).
cnf(refute_6_259,plain,
( h3(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) )],[refute_6_242,refute_6_258]) ).
cnf(refute_6_260,plain,
( e23 != op2(e22,e23)
| h3(e11) != e23
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_6_261,plain,
( e23 != op2(e22,e23)
| h3(e11) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_6_259,refute_6_260]) ).
cnf(refute_6_262,plain,
( e23 != op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_6_261,refute_6_241]) ).
cnf(refute_6_263,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_6_66]) ).
cnf(refute_6_264,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_67]) ).
cnf(refute_6_265,plain,
( op2(e22,e23) != e21
| op2(e23,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_6_266,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_51,refute_6_265]) ).
cnf(refute_6_267,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_6_266,refute_6_264]) ).
cnf(refute_6_268,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_6_263,refute_6_267]) ).
cnf(refute_6_269,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_6_68]) ).
cnf(refute_6_270,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_6_271,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_40,refute_6_270]) ).
cnf(refute_6_272,plain,
e22 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_6_271,refute_6_269]) ).
cnf(refute_6_273,plain,
( op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_6_274,plain,
op2(e22,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_6_273,refute_6_272]) ).
cnf(refute_6_275,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_6_268,refute_6_274]) ).
cnf(refute_6_276,plain,
( e23 != e23
| op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_6_277,plain,
( e23 != e23
| e23 = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_6_275,refute_6_276]) ).
cnf(refute_6_278,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_6_277,refute_6_262]) ).
cnf(refute_6_279,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_6_280,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_279,refute_6_278]) ).
cnf(refute_6_281,plain,
( op2(e21,e23) != e20
| op2(e22,e23) != e20
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_6_282,plain,
( op2(e21,e23) != e20
| op2(e21,e23) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_6_280,refute_6_281]) ).
cnf(refute_6_283,plain,
( op2(e21,e23) != e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_6_282,refute_6_234]) ).
cnf(refute_6_284,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(canonicalize,[],[normalize_6_69]) ).
cnf(refute_6_285,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_6_70]) ).
cnf(refute_6_286,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_6_287,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_6_285,refute_6_286]) ).
cnf(refute_6_288,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e11)
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e11))]]) ).
cnf(refute_6_289,plain,
( op2(e21,e21) != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_287,refute_6_288]) ).
cnf(refute_6_290,plain,
( h2(e11) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_6_284,refute_6_289]) ).
cnf(refute_6_291,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_6_71]) ).
cnf(refute_6_292,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_6_293,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_287,refute_6_292]) ).
cnf(refute_6_294,plain,
h2(e11) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_6_293,refute_6_291]) ).
cnf(refute_6_295,plain,
( h2(e11) != e20
| op2(e23,e21) != e20
| h2(e11) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_6_296,plain,
( h2(e11) != e20
| h2(e11) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_6_60,refute_6_295]) ).
cnf(refute_6_297,plain,
h2(e11) != e20,
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e21)) )],[refute_6_296,refute_6_294]) ).
cnf(refute_6_298,plain,
( op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_6_290,refute_6_297]) ).
cnf(refute_6_299,plain,
( e20 != e20
| op2(e21,e23) != e20
| op2(e21,e23) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[1],$fot(e20)]]) ).
cnf(refute_6_300,plain,
( e20 != e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_6_298,refute_6_299]) ).
cnf(refute_6_301,plain,
( e20 != e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_6_300,refute_6_283]) ).
cnf(refute_6_302,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_6_303,plain,
( op2(e21,e20) = e20
| op2(e21,e22) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_302,refute_6_301]) ).
cnf(refute_6_304,plain,
( e20 != e20
| op2(e21,e22) != e20
| e20 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e21,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_6_305,plain,
( e20 != e20
| e20 = op2(e21,e22)
| op2(e21,e20) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_6_303,refute_6_304]) ).
cnf(refute_6_306,plain,
( e20 != e20
| op2(e21,e20) = e20
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e22)) )],[refute_6_305,refute_6_233]) ).
cnf(refute_6_307,plain,
( op2(e21,e20) = e20
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_302,refute_6_306]) ).
cnf(refute_6_308,plain,
( e20 != e20
| op2(e21,e20) != e20
| e20 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e21,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_6_309,plain,
( e20 != e20
| e20 = op2(e21,e20)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_6_307,refute_6_308]) ).
cnf(refute_6_310,plain,
( e20 != e20
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e20)) )],[refute_6_309,refute_6_84]) ).
cnf(refute_6_311,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_302,refute_6_310]) ).
cnf(refute_6_312,plain,
( ~ definitionFOFtoCNF_3
| op2(op2(e21,e20),op2(e21,e20)) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_6_311,refute_6_15]) ).
cnf(refute_6_313,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 ),
inference(canonicalize,[],[normalize_6_74]) ).
cnf(refute_6_314,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_6_75]) ).
cnf(refute_6_315,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_6_316,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_19,refute_6_315]) ).
cnf(refute_6_317,plain,
h1(e11) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_6_316,refute_6_314]) ).
cnf(refute_6_318,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_6_76]) ).
cnf(refute_6_319,plain,
( op2(e20,e21) != h2(e11)
| op2(e21,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_6_320,plain,
( op2(e20,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_287,refute_6_319]) ).
cnf(refute_6_321,plain,
op2(e20,e21) != h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_6_320,refute_6_318]) ).
cnf(refute_6_322,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_6_81]) ).
cnf(refute_6_323,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_6_324,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_6_325,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_6_323,refute_6_324]) ).
cnf(refute_6_326,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_51,refute_6_325]) ).
cnf(refute_6_327,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_6_328,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_6_329,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_6_327,refute_6_328]) ).
cnf(refute_6_330,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_51,refute_6_329]) ).
cnf(refute_6_331,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_6_332,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_6_330,refute_6_331]) ).
cnf(refute_6_333,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_6_326,refute_6_332]) ).
cnf(refute_6_334,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_6_335,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_6_333,refute_6_334]) ).
cnf(refute_6_336,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_287,refute_6_335]) ).
cnf(refute_6_337,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_6_338,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_6_336,refute_6_337]) ).
cnf(refute_6_339,plain,
( h2(e11) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) )],[refute_6_322,refute_6_338]) ).
cnf(refute_6_340,plain,
( h2(e11) != e23
| op2(e20,e21) != e23
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),h2(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_6_341,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = h2(e11)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_339,refute_6_340]) ).
cnf(refute_6_342,plain,
( op2(e20,e21) != e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_6_341,refute_6_321]) ).
cnf(refute_6_343,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(canonicalize,[],[normalize_6_82]) ).
cnf(refute_6_344,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_6_83]) ).
cnf(refute_6_345,plain,
( op2(e20,e21) != e22
| op2(e20,e23) != e22
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_6_346,plain,
( op2(e20,e21) != e22
| op2(e20,e21) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_40,refute_6_345]) ).
cnf(refute_6_347,plain,
op2(e20,e21) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_6_346,refute_6_344]) ).
cnf(refute_6_348,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_6_343,refute_6_347]) ).
cnf(refute_6_349,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_6_348,refute_6_63]) ).
cnf(refute_6_350,plain,
( e23 != e23
| op2(e20,e21) != e23
| op2(e20,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_6_351,plain,
( e23 != e23
| op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_6_349,refute_6_350]) ).
cnf(refute_6_352,plain,
( e23 != e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_6_351,refute_6_342]) ).
cnf(refute_6_353,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_279,refute_6_352]) ).
cnf(refute_6_354,plain,
( h1(e11) != e21
| op2(e20,e21) != e21
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_6_355,plain,
( h1(e11) != e21
| h1(e11) = op2(e20,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_353,refute_6_354]) ).
cnf(refute_6_356,plain,
( h1(e11) != e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_6_355,refute_6_317]) ).
cnf(refute_6_357,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_6_84]) ).
cnf(refute_6_358,plain,
op2(e20,op2(e23,e21)) = op2(e20,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e21)))]]) ).
cnf(refute_6_359,plain,
( op2(e20,op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(e23,e21) != e20
| op2(e20,op2(e23,e21)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_360,plain,
( op2(e23,e21) != e20
| op2(e20,op2(e23,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_6_358,refute_6_359]) ).
cnf(refute_6_361,plain,
op2(e20,op2(e23,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_6_60,refute_6_360]) ).
cnf(refute_6_362,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(op2(e23,e21),op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),op2(e23,e21)))]]) ).
cnf(refute_6_363,plain,
( op2(e23,e21) != e20
| op2(op2(e23,e21),op2(e23,e21)) != op2(op2(e23,e21),op2(e23,e21))
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(op2(e23,e21),op2(e23,e21))) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_364,plain,
( op2(e23,e21) != e20
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(op2(e23,e21),op2(e23,e21))) )],[refute_6_362,refute_6_363]) ).
cnf(refute_6_365,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_6_60,refute_6_364]) ).
cnf(refute_6_366,plain,
( op2(e20,op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op2(op2(e23,e21),op2(e23,e21)))),bind(Y,$fot(op2(e20,op2(e23,e21)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_6_367,plain,
( op2(e20,op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_6_365,refute_6_366]) ).
cnf(refute_6_368,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,e20)) )],[refute_6_361,refute_6_367]) ).
cnf(refute_6_369,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e23,e21),op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) = h1(e11) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op2(op2(e23,e21),op2(e23,e21)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_6_370,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e23,e21),op2(e23,e21)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(e20,e20)) )],[refute_6_368,refute_6_369]) ).
cnf(refute_6_371,plain,
op2(op2(e23,e21),op2(e23,e21)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_19,refute_6_370]) ).
cnf(refute_6_372,plain,
( op2(op2(e23,e21),op2(e23,e21)) != e21
| op2(op2(e23,e21),op2(e23,e21)) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_6_373,plain,
( op2(op2(e23,e21),op2(e23,e21)) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),h1(e11)) )],[refute_6_371,refute_6_372]) ).
cnf(refute_6_374,plain,
( h1(e11) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),e21) )],[refute_6_357,refute_6_373]) ).
cnf(refute_6_375,plain,
( e21 != e21
| h1(e11) != e21
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_6_376,plain,
( e21 != e21
| h1(e11) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_6_374,refute_6_375]) ).
cnf(refute_6_377,plain,
( e21 != e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_6_376,refute_6_356]) ).
cnf(refute_6_378,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_6_379,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_378,refute_6_377]) ).
cnf(refute_6_380,plain,
( op2(op2(e22,e20),op2(e22,e20)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_6_379,refute_6_313]) ).
cnf(refute_6_381,plain,
h1(e12) = op2(op2(e20,op2(e20,e20)),e20),
inference(canonicalize,[],[normalize_6_85]) ).
cnf(refute_6_382,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_6_86]) ).
cnf(refute_6_383,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = h1(e10) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e20,op2(e20,e20))))]]) ).
cnf(refute_6_384,plain,
op2(e20,op2(e20,e20)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,op2(e20,e20))) )],[refute_6_382,refute_6_383]) ).
cnf(refute_6_385,plain,
op2(op2(e20,op2(e20,e20)),e20) = op2(op2(e20,op2(e20,e20)),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,op2(e20,e20)),e20))]]) ).
cnf(refute_6_386,plain,
( op2(e20,op2(e20,e20)) != h1(e10)
| op2(op2(e20,op2(e20,e20)),e20) != op2(op2(e20,op2(e20,e20)),e20)
| op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e10),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(op2(e20,op2(e20,e20)),e20)) ),[1,0],$fot(h1(e10))]]) ).
cnf(refute_6_387,plain,
( op2(e20,op2(e20,e20)) != h1(e10)
| op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e10),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(op2(e20,op2(e20,e20)),e20)) )],[refute_6_385,refute_6_386]) ).
cnf(refute_6_388,plain,
op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e10),e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),h1(e10)) )],[refute_6_384,refute_6_387]) ).
cnf(refute_6_389,plain,
( h1(e12) != op2(op2(e20,op2(e20,e20)),e20)
| op2(op2(e20,op2(e20,e20)),e20) != op2(h1(e10),e20)
| h1(e12) = op2(h1(e10),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e12),op2(h1(e10),e20)) ),[0],$fot(op2(op2(e20,op2(e20,e20)),e20))]]) ).
cnf(refute_6_390,plain,
( h1(e12) != op2(op2(e20,op2(e20,e20)),e20)
| h1(e12) = op2(h1(e10),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(h1(e10),e20)) )],[refute_6_388,refute_6_389]) ).
cnf(refute_6_391,plain,
h1(e12) = op2(h1(e10),e20),
inference(resolve,[$cnf( $equal(h1(e12),op2(op2(e20,op2(e20,e20)),e20)) )],[refute_6_381,refute_6_390]) ).
cnf(refute_6_392,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_6_393,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_6_394,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_6_392,refute_6_393]) ).
cnf(refute_6_395,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_19,refute_6_394]) ).
cnf(refute_6_396,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) != op2(e20,h1(e11))
| h1(e10) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e20,h1(e11))) ),[0],$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_6_397,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| h1(e10) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e11))) )],[refute_6_395,refute_6_396]) ).
cnf(refute_6_398,plain,
h1(e10) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,op2(e20,e20))) )],[refute_6_382,refute_6_397]) ).
cnf(refute_6_399,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference(canonicalize,[],[normalize_6_87]) ).
cnf(refute_6_400,plain,
( op2(op2(e22,e23),op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_6_379,refute_6_399]) ).
cnf(refute_6_401,plain,
( op2(e21,e23) != e23
| op2(e22,e23) != e23
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_6_402,plain,
( op2(e21,e23) != e23
| op2(e21,e23) = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_6_275,refute_6_401]) ).
cnf(refute_6_403,plain,
( op2(e21,e23) != e23
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_6_402,refute_6_234]) ).
cnf(refute_6_404,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_6_88]) ).
cnf(refute_6_405,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e22)]]) ).
cnf(refute_6_406,plain,
( op2(e20,e23) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_40,refute_6_405]) ).
cnf(refute_6_407,plain,
( e22 = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_6_404,refute_6_406]) ).
cnf(refute_6_408,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e21)]]) ).
cnf(refute_6_409,plain,
( op2(e23,e23) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_51,refute_6_408]) ).
cnf(refute_6_410,plain,
( e21 = e23
| e22 = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_6_407,refute_6_409]) ).
cnf(refute_6_411,plain,
e21 != e23,
inference(canonicalize,[],[normalize_6_89]) ).
cnf(refute_6_412,plain,
( e22 = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_410,refute_6_411]) ).
cnf(refute_6_413,plain,
e22 != e23,
inference(canonicalize,[],[normalize_6_90]) ).
cnf(refute_6_414,plain,
( op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_412,refute_6_413]) ).
cnf(refute_6_415,plain,
( op2(e22,e23) != e23
| op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(op2(e22,e23),e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_6_416,plain,
( op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e21,e23) = e23
| op2(op2(e22,e23),e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_6_414,refute_6_415]) ).
cnf(refute_6_417,plain,
( op2(e21,e23) = e23
| op2(op2(e22,e23),e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) )],[refute_6_400,refute_6_416]) ).
cnf(refute_6_418,plain,
( op2(e22,e23) != e23
| op2(op2(e22,e23),e23) != e23
| op2(e23,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_6_419,plain,
( op2(op2(e22,e23),e23) != e23
| op2(e21,e23) = e23
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_6_414,refute_6_418]) ).
cnf(refute_6_420,plain,
( op2(e21,e23) = e23
| op2(e23,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),e23) )],[refute_6_417,refute_6_419]) ).
cnf(refute_6_421,plain,
( e21 = e23
| op2(e21,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_6_420,refute_6_409]) ).
cnf(refute_6_422,plain,
( op2(e21,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_421,refute_6_411]) ).
cnf(refute_6_423,plain,
( e23 != e23
| op2(e21,e23) != e23
| op2(e21,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_6_424,plain,
( e23 != e23
| op2(e21,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_6_422,refute_6_423]) ).
cnf(refute_6_425,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_6_424,refute_6_403]) ).
cnf(refute_6_426,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_279,refute_6_425]) ).
cnf(refute_6_427,plain,
( op2(e22,e23) != e20
| op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e20,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) ),[0,0],$fot(e20)]]) ).
cnf(refute_6_428,plain,
( op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e20,op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_6_426,refute_6_427]) ).
cnf(refute_6_429,plain,
( op2(e20,op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) )],[refute_6_400,refute_6_428]) ).
cnf(refute_6_430,plain,
( op2(e20,op2(e22,e23)) != e23
| op2(e22,e23) != e20
| op2(e20,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e23)),e23) ),[0,1],$fot(e20)]]) ).
cnf(refute_6_431,plain,
( op2(e20,op2(e22,e23)) != e23
| op2(e20,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_6_426,refute_6_430]) ).
cnf(refute_6_432,plain,
( op2(e20,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e23)),e23) )],[refute_6_429,refute_6_431]) ).
cnf(refute_6_433,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_6_434,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_19,refute_6_433]) ).
cnf(refute_6_435,plain,
( h1(e11) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_6_432,refute_6_434]) ).
cnf(refute_6_436,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e11) != e23
| h1(e10) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_437,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = op2(e20,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_6_435,refute_6_436]) ).
cnf(refute_6_438,plain,
( h1(e10) = op2(e20,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_6_398,refute_6_437]) ).
cnf(refute_6_439,plain,
( h1(e10) != op2(e20,e23)
| op2(e20,e23) != e22
| h1(e10) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e22) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_6_440,plain,
( h1(e10) != op2(e20,e23)
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_40,refute_6_439]) ).
cnf(refute_6_441,plain,
( h1(e10) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e23)) )],[refute_6_438,refute_6_440]) ).
cnf(refute_6_442,plain,
( h1(e10) != e22
| h1(e12) != op2(h1(e10),e20)
| h1(e12) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),op2(h1(e10),e20)) ),[1,0],$fot(e22)]]) ).
cnf(refute_6_443,plain,
( h1(e12) != op2(h1(e10),e20)
| h1(e12) = op2(e22,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_6_441,refute_6_442]) ).
cnf(refute_6_444,plain,
( h1(e12) = op2(e22,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(h1(e10),e20)) )],[refute_6_391,refute_6_443]) ).
cnf(refute_6_445,plain,
( h1(e12) != op2(e22,e20)
| op2(e22,e20) = h1(e12) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h1(e12))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_6_446,plain,
( op2(e22,e20) = h1(e12)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e22,e20)) )],[refute_6_444,refute_6_445]) ).
cnf(refute_6_447,plain,
( op2(e22,e20) != h1(e12)
| op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(h1(e12),op2(e22,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e20),op2(e22,e20)),e20) ),[0,0],$fot(h1(e12))]]) ).
cnf(refute_6_448,plain,
( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(h1(e12),op2(e22,e20)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h1(e12)) )],[refute_6_446,refute_6_447]) ).
cnf(refute_6_449,plain,
( op2(h1(e12),op2(e22,e20)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),op2(e22,e20)),e20) )],[refute_6_380,refute_6_448]) ).
cnf(refute_6_450,plain,
( op2(e22,e20) != h1(e12)
| op2(h1(e12),op2(e22,e20)) != e20
| op2(h1(e12),h1(e12)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e12),op2(e22,e20)),e20) ),[0,1],$fot(h1(e12))]]) ).
cnf(refute_6_451,plain,
( op2(h1(e12),op2(e22,e20)) != e20
| op2(h1(e12),h1(e12)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h1(e12)) )],[refute_6_446,refute_6_450]) ).
cnf(refute_6_452,plain,
( op2(h1(e12),h1(e12)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(h1(e12),op2(e22,e20)),e20) )],[refute_6_449,refute_6_451]) ).
cnf(refute_6_453,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 ),
inference(canonicalize,[],[normalize_6_91]) ).
cnf(refute_6_454,plain,
( op2(op2(e22,e21),op2(e22,e21)) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_6_379,refute_6_453]) ).
cnf(refute_6_455,plain,
op2(e21,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_6_92]) ).
cnf(refute_6_456,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_6_457,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_287,refute_6_456]) ).
cnf(refute_6_458,plain,
h2(e11) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_6_457,refute_6_455]) ).
cnf(refute_6_459,plain,
( h1(e11) != e23
| op2(e20,e21) != e23
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_6_460,plain,
( h1(e11) != e23
| h1(e11) = op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_6_349,refute_6_459]) ).
cnf(refute_6_461,plain,
( h1(e11) != e23
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_6_460,refute_6_317]) ).
cnf(refute_6_462,plain,
( e23 != e23
| h1(e11) != e23
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_6_463,plain,
( e23 != e23
| h1(e11) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_6_435,refute_6_462]) ).
cnf(refute_6_464,plain,
( e23 != e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_6_463,refute_6_461]) ).
cnf(refute_6_465,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_279,refute_6_464]) ).
cnf(refute_6_466,plain,
( e21 != h2(e11)
| op2(e20,e21) != e21
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(h2(e11))]]) ).
cnf(refute_6_467,plain,
( e21 != h2(e11)
| op2(e20,e21) = h2(e11)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_465,refute_6_466]) ).
cnf(refute_6_468,plain,
( e21 != h2(e11)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_6_467,refute_6_321]) ).
cnf(refute_6_469,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_6_93]) ).
cnf(refute_6_470,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_6_471,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_287,refute_6_470]) ).
cnf(refute_6_472,plain,
h2(e11) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_6_471,refute_6_469]) ).
cnf(refute_6_473,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_6_94]) ).
cnf(refute_6_474,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_95]) ).
cnf(refute_6_475,plain,
( op2(e21,e23) != e21
| op2(e23,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_6_476,plain,
( op2(e21,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_51,refute_6_475]) ).
cnf(refute_6_477,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_6_476,refute_6_474]) ).
cnf(refute_6_478,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_6_473,refute_6_477]) ).
cnf(refute_6_479,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_6_96]) ).
cnf(refute_6_480,plain,
( e22 != op2(e21,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_6_481,plain,
( e22 != op2(e21,e23)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_40,refute_6_480]) ).
cnf(refute_6_482,plain,
e22 != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_6_481,refute_6_479]) ).
cnf(refute_6_483,plain,
( op2(e21,e23) != e22
| e22 = op2(e21,e23) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_6_484,plain,
op2(e21,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_6_483,refute_6_482]) ).
cnf(refute_6_485,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_6_478,refute_6_484]) ).
cnf(refute_6_486,plain,
( h2(e11) != e23
| op2(e21,e23) != e23
| h2(e11) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_6_487,plain,
( h2(e11) != e23
| h2(e11) = op2(e21,e23)
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_6_485,refute_6_486]) ).
cnf(refute_6_488,plain,
( h2(e11) != e23
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e23)) )],[refute_6_487,refute_6_472]) ).
cnf(refute_6_489,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(canonicalize,[],[normalize_6_97]) ).
cnf(refute_6_490,plain,
( h2(e11) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_6_489,refute_6_289]) ).
cnf(refute_6_491,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e11)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_6_492,plain,
( op2(e21,e21) != e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_287,refute_6_491]) ).
cnf(refute_6_493,plain,
( h2(e11) = e20
| h2(e11) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_6_490,refute_6_492]) ).
cnf(refute_6_494,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_6_495,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_287,refute_6_494]) ).
cnf(refute_6_496,plain,
( h2(e11) = e20
| h2(e11) = e21
| h2(e11) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_6_493,refute_6_495]) ).
cnf(refute_6_497,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_6_498,plain,
( op2(e21,e21) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_287,refute_6_497]) ).
cnf(refute_6_499,plain,
( h2(e11) = e20
| h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_6_496,refute_6_498]) ).
cnf(refute_6_500,plain,
( h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_6_499,refute_6_297]) ).
cnf(refute_6_501,plain,
( e23 != e23
| h2(e11) != e23
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_6_502,plain,
( e23 != e23
| h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_500,refute_6_501]) ).
cnf(refute_6_503,plain,
( e23 != e23
| h2(e11) = e21
| h2(e11) = e22
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_502,refute_6_488]) ).
cnf(refute_6_504,plain,
( h2(e11) = e21
| h2(e11) = e22
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_279,refute_6_503]) ).
cnf(refute_6_505,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(e23)]]) ).
cnf(refute_6_506,plain,
( op2(e21,e23) != e20
| e23 = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_6_422,refute_6_505]) ).
cnf(refute_6_507,plain,
( e23 = e20
| h2(e11) = e21
| h2(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_6_504,refute_6_506]) ).
cnf(refute_6_508,plain,
e20 != e23,
inference(canonicalize,[],[normalize_6_98]) ).
cnf(refute_6_509,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_6_510,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_6_509,refute_6_508]) ).
cnf(refute_6_511,plain,
( h2(e11) = e21
| h2(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_6_507,refute_6_510]) ).
cnf(refute_6_512,plain,
( e21 != e21
| h2(e11) != e21
| e21 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h2(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_6_513,plain,
( e21 != e21
| e21 = h2(e11)
| h2(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_511,refute_6_512]) ).
cnf(refute_6_514,plain,
( e21 != e21
| h2(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_6_513,refute_6_468]) ).
cnf(refute_6_515,plain,
( h2(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_378,refute_6_514]) ).
cnf(refute_6_516,plain,
( e22 != op2(e22,e21)
| h2(e11) != e22
| h2(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_6_517,plain,
( e22 != op2(e22,e21)
| h2(e11) = op2(e22,e21)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_6_515,refute_6_516]) ).
cnf(refute_6_518,plain,
( e22 != op2(e22,e21)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e21)) )],[refute_6_517,refute_6_458]) ).
cnf(refute_6_519,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_6_99]) ).
cnf(refute_6_520,plain,
( e21 != op2(e22,e21)
| op2(e20,e21) != e21
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_6_521,plain,
( e21 != op2(e22,e21)
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_465,refute_6_520]) ).
cnf(refute_6_522,plain,
( e21 != op2(e22,e21)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_6_521,refute_6_519]) ).
cnf(refute_6_523,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(canonicalize,[],[normalize_6_100]) ).
cnf(refute_6_524,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_6_101]) ).
cnf(refute_6_525,plain,
( op2(e22,e21) != e20
| op2(e23,e21) != e20
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_6_526,plain,
( op2(e22,e21) != e20
| op2(e22,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_6_60,refute_6_525]) ).
cnf(refute_6_527,plain,
op2(e22,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_6_526,refute_6_524]) ).
cnf(refute_6_528,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_6_523,refute_6_527]) ).
cnf(refute_6_529,plain,
( e21 != e21
| op2(e22,e21) != e21
| e21 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_6_530,plain,
( e21 != e21
| e21 = op2(e22,e21)
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_6_528,refute_6_529]) ).
cnf(refute_6_531,plain,
( e21 != e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_6_530,refute_6_522]) ).
cnf(refute_6_532,plain,
( op2(e22,e21) = e22
| op2(e22,e21) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_378,refute_6_531]) ).
cnf(refute_6_533,plain,
( e22 != e22
| op2(e22,e21) != e22
| e22 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_6_534,plain,
( e22 != e22
| e22 = op2(e22,e21)
| op2(e22,e21) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_6_532,refute_6_533]) ).
cnf(refute_6_535,plain,
( e22 != e22
| op2(e22,e21) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e21)) )],[refute_6_534,refute_6_518]) ).
cnf(refute_6_536,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_6_537,plain,
( op2(e22,e21) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_536,refute_6_535]) ).
cnf(refute_6_538,plain,
( op2(e22,e21) != e23
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e21),e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),op2(e22,e21)),e21) ),[0,1],$fot(e23)]]) ).
cnf(refute_6_539,plain,
( op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e21),e23) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_6_537,refute_6_538]) ).
cnf(refute_6_540,plain,
( op2(op2(e22,e21),e23) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),op2(e22,e21)),e21) )],[refute_6_454,refute_6_539]) ).
cnf(refute_6_541,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_6_102]) ).
cnf(refute_6_542,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_6_543,plain,
( op2(e22,e22) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_238,refute_6_542]) ).
cnf(refute_6_544,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_6_541,refute_6_543]) ).
cnf(refute_6_545,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_6_544,refute_6_267]) ).
cnf(refute_6_546,plain,
( op2(e22,e21) != e21
| op2(op2(e22,e21),e23) != e21
| op2(e21,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e23),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_6_547,plain,
( op2(op2(e22,e21),e23) != e21
| h3(e11) = e21
| op2(e21,e23) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_6_545,refute_6_546]) ).
cnf(refute_6_548,plain,
( h3(e11) = e21
| op2(e21,e23) = e21
| op2(e22,e20) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e23),e21) )],[refute_6_540,refute_6_547]) ).
cnf(refute_6_549,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_6_548,refute_6_477]) ).
cnf(refute_6_550,plain,
( h1(e12) != op2(e22,e20)
| op2(e22,e20) != e21
| h1(e12) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e12),e21) ),[0],$fot(op2(e22,e20))]]) ).
cnf(refute_6_551,plain,
( h1(e12) != op2(e22,e20)
| h1(e12) = e21
| h3(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_6_549,refute_6_550]) ).
cnf(refute_6_552,plain,
( h1(e12) = e21
| h3(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e22,e20)) )],[refute_6_444,refute_6_551]) ).
cnf(refute_6_553,plain,
op2(e22,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_6_103]) ).
cnf(refute_6_554,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_6_104]) ).
cnf(refute_6_555,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_6_556,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_19,refute_6_555]) ).
cnf(refute_6_557,plain,
h1(e11) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_6_556,refute_6_554]) ).
cnf(refute_6_558,plain,
( e23 != op2(e23,e20)
| h1(e11) != e23
| h1(e11) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_6_559,plain,
( e23 != op2(e23,e20)
| h1(e11) = op2(e23,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_6_435,refute_6_558]) ).
cnf(refute_6_560,plain,
( e23 != op2(e23,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,e20)) )],[refute_6_559,refute_6_557]) ).
cnf(refute_6_561,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_6_105]) ).
cnf(refute_6_562,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_106]) ).
cnf(refute_6_563,plain,
( op2(e23,e20) != e21
| op2(e23,e23) != e21
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_6_564,plain,
( op2(e23,e20) != e21
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_51,refute_6_563]) ).
cnf(refute_6_565,plain,
op2(e23,e20) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_6_564,refute_6_562]) ).
cnf(refute_6_566,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_6_561,refute_6_565]) ).
cnf(refute_6_567,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_6_107]) ).
cnf(refute_6_568,plain,
( op2(e23,e20) != e20
| op2(e23,e21) != e20
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_6_569,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_6_60,refute_6_568]) ).
cnf(refute_6_570,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_6_569,refute_6_567]) ).
cnf(refute_6_571,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_6_566,refute_6_570]) ).
cnf(refute_6_572,plain,
( e23 != e23
| op2(e23,e20) != e23
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_6_573,plain,
( e23 != e23
| e23 = op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_6_571,refute_6_572]) ).
cnf(refute_6_574,plain,
( e23 != e23
| op2(e23,e20) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_6_573,refute_6_560]) ).
cnf(refute_6_575,plain,
( op2(e23,e20) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_279,refute_6_574]) ).
cnf(refute_6_576,plain,
( op2(e22,e20) != e22
| op2(e23,e20) != e22
| op2(e22,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_6_577,plain,
( op2(e22,e20) != e22
| op2(e22,e20) = op2(e23,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_6_575,refute_6_576]) ).
cnf(refute_6_578,plain,
( op2(e22,e20) != e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e23,e20)) )],[refute_6_577,refute_6_553]) ).
cnf(refute_6_579,plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(canonicalize,[],[normalize_6_108]) ).
cnf(refute_6_580,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_6_581,plain,
( op2(e22,e22) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_238,refute_6_580]) ).
cnf(refute_6_582,plain,
( h3(e11) = e22
| op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_6_579,refute_6_581]) ).
cnf(refute_6_583,plain,
( h3(e11) = e22
| op2(e22,e20) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_6_582,refute_6_274]) ).
cnf(refute_6_584,plain,
( op2(e22,e21) != e22
| op2(op2(e22,e21),e23) != e21
| op2(e22,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e23),e21) ),[0,0],$fot(e22)]]) ).
cnf(refute_6_585,plain,
( op2(op2(e22,e21),e23) != e21
| h3(e11) = e22
| op2(e22,e20) = e22
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_6_583,refute_6_584]) ).
cnf(refute_6_586,plain,
( h3(e11) = e22
| op2(e22,e20) = e22
| op2(e22,e23) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e23),e21) )],[refute_6_540,refute_6_585]) ).
cnf(refute_6_587,plain,
( h3(e11) = e22
| op2(e22,e20) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_6_586,refute_6_267]) ).
cnf(refute_6_588,plain,
( e22 != e22
| op2(e22,e20) != e22
| op2(e22,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0,0],$fot(e22)]]) ).
cnf(refute_6_589,plain,
( e22 != e22
| h3(e11) = e22
| op2(e22,e20) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_6_587,refute_6_588]) ).
cnf(refute_6_590,plain,
( e22 != e22
| h3(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_6_589,refute_6_578]) ).
cnf(refute_6_591,plain,
( h3(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_536,refute_6_590]) ).
cnf(refute_6_592,plain,
( h3(e11) != e21
| h3(e11) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[0],$fot(e22)]]) ).
cnf(refute_6_593,plain,
( h3(e11) != e21
| e22 = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_6_591,refute_6_592]) ).
cnf(refute_6_594,plain,
( e22 = e21
| h1(e12) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_6_552,refute_6_593]) ).
cnf(refute_6_595,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_109]) ).
cnf(refute_6_596,plain,
( e22 != op2(e23,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_6_597,plain,
( e22 != op2(e23,e23)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_40,refute_6_596]) ).
cnf(refute_6_598,plain,
( e22 != e21
| op2(e23,e23) != e21
| e22 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_6_599,plain,
( e22 != e21
| e22 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_51,refute_6_598]) ).
cnf(refute_6_600,plain,
( e22 != e21
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_6_599,refute_6_597]) ).
cnf(refute_6_601,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_6_600,refute_6_595]) ).
cnf(refute_6_602,plain,
( h1(e12) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_6_594,refute_6_601]) ).
cnf(refute_6_603,plain,
( h1(e12) != e21
| op2(h1(e12),h1(e12)) != e20
| op2(e21,h1(e12)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e12),h1(e12)),e20) ),[0,0],$fot(e21)]]) ).
cnf(refute_6_604,plain,
( op2(h1(e12),h1(e12)) != e20
| op2(e21,h1(e12)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_6_602,refute_6_603]) ).
cnf(refute_6_605,plain,
( op2(e21,h1(e12)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(h1(e12),h1(e12)),e20) )],[refute_6_452,refute_6_604]) ).
cnf(refute_6_606,plain,
( h1(e12) != e21
| op2(e21,h1(e12)) != e20
| op2(e21,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h1(e12)),e20) ),[0,1],$fot(e21)]]) ).
cnf(refute_6_607,plain,
( op2(e21,h1(e12)) != e20
| op2(e21,e21) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_6_602,refute_6_606]) ).
cnf(refute_6_608,plain,
( op2(e21,e21) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,h1(e12)),e20) )],[refute_6_605,refute_6_607]) ).
cnf(refute_6_609,plain,
( h2(e11) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_6_608,refute_6_289]) ).
cnf(refute_6_610,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_6_609,refute_6_297]) ).
cnf(refute_6_611,plain,
( op2(op2(e21,e20),op2(e21,e20)) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_6_610,refute_6_312]) ).
cnf(refute_6_612,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(canonicalize,[],[normalize_6_110]) ).
cnf(refute_6_613,plain,
op2(e21,h4(e10)) = op2(e21,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e10)))]]) ).
cnf(refute_6_614,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) != op2(e21,h4(e10))
| op2(e21,h4(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_615,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) )],[refute_6_613,refute_6_614]) ).
cnf(refute_6_616,plain,
op2(e21,h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_230,refute_6_615]) ).
cnf(refute_6_617,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_6_618,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_6_619,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_6_617,refute_6_618]) ).
cnf(refute_6_620,plain,
op2(h4(e11),h4(e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_102,refute_6_619]) ).
cnf(refute_6_621,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) != op2(e21,h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op2(h4(e11),h4(e10)))),bind(Y,$fot(op2(e21,h4(e10)))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_6_622,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,h4(e10))) )],[refute_6_620,refute_6_621]) ).
cnf(refute_6_623,plain,
op2(h4(e11),h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,e20)) )],[refute_6_616,refute_6_622]) ).
cnf(refute_6_624,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) != op2(e21,e20)
| h4(op1(e11,e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[0],$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_6_625,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,e20)) )],[refute_6_623,refute_6_624]) ).
cnf(refute_6_626,plain,
h4(op1(e11,e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_6_612,refute_6_625]) ).
cnf(refute_6_627,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(canonicalize,[],[normalize_6_111]) ).
cnf(refute_6_628,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_6_112]) ).
cnf(refute_6_629,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_630,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_6,refute_6_629]) ).
cnf(refute_6_631,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_6_630,refute_6_628]) ).
cnf(refute_6_632,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_6_627,refute_6_631]) ).
cnf(refute_6_633,plain,
( e11 != e11
| e11 = op1(e11,e12)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_6_632,refute_6_210]) ).
cnf(refute_6_634,plain,
( e11 != e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_6_633,refute_6_208]) ).
cnf(refute_6_635,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_213,refute_6_634]) ).
cnf(refute_6_636,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e11)]]) ).
cnf(refute_6_637,plain,
( op1(e11,e11) != e12
| e11 = e12
| op1(e11,e10) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_6_635,refute_6_636]) ).
cnf(refute_6_638,plain,
( e11 = e12
| op1(e11,e10) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_6_201,refute_6_637]) ).
cnf(refute_6_639,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_6_113]) ).
cnf(refute_6_640,plain,
( e12 != op1(e13,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e13,e13))]]) ).
cnf(refute_6_641,plain,
( e12 != op1(e13,e13)
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_126,refute_6_640]) ).
cnf(refute_6_642,plain,
( e12 != e11
| op1(e13,e13) != e11
| e12 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_643,plain,
( e12 != e11
| e12 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_6,refute_6_642]) ).
cnf(refute_6_644,plain,
( e12 != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_6_643,refute_6_641]) ).
cnf(refute_6_645,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_6_644,refute_6_639]) ).
cnf(refute_6_646,plain,
( e11 != e12
| e12 = e11 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e11)),bind(Y,$fot(e12))]]) ).
cnf(refute_6_647,plain,
e11 != e12,
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_6_646,refute_6_645]) ).
cnf(refute_6_648,plain,
( op1(e11,e10) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_6_638,refute_6_647]) ).
cnf(refute_6_649,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| op1(e11,e10) != e11
| h4(e11) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[0,0],$fot(e11)]]) ).
cnf(refute_6_650,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| h4(e11) = op2(e21,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_6_648,refute_6_649]) ).
cnf(refute_6_651,plain,
( h4(e11) = op2(e21,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) )],[refute_6_626,refute_6_650]) ).
cnf(refute_6_652,plain,
( h4(e11) != e21
| h4(e11) != op2(e21,e20)
| e21 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e21,e20)) ),[0],$fot(e21)]]) ).
cnf(refute_6_653,plain,
( h4(e11) != op2(e21,e20)
| e21 = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_102,refute_6_652]) ).
cnf(refute_6_654,plain,
( e21 = op2(e21,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e20)) )],[refute_6_651,refute_6_653]) ).
cnf(refute_6_655,plain,
( e21 != op2(e21,e20)
| op2(e21,e20) = e21 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_6_656,plain,
( op2(e21,e20) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_6_654,refute_6_655]) ).
cnf(refute_6_657,plain,
( op2(e21,e20) != e21
| op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e20),e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),op2(e21,e20)),e20) ),[0,1],$fot(e21)]]) ).
cnf(refute_6_658,plain,
( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e20),e21) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_6_656,refute_6_657]) ).
cnf(refute_6_659,plain,
( op2(op2(e21,e20),e21) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),op2(e21,e20)),e20) )],[refute_6_611,refute_6_658]) ).
cnf(refute_6_660,plain,
( op2(e21,e20) != e21
| op2(op2(e21,e20),e21) != e20
| op2(e21,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e21),e20) ),[0,0],$fot(e21)]]) ).
cnf(refute_6_661,plain,
( op2(op2(e21,e20),e21) != e20
| op2(e21,e21) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_6_656,refute_6_660]) ).
cnf(refute_6_662,plain,
( op2(e21,e21) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e21),e20) )],[refute_6_659,refute_6_661]) ).
cnf(refute_6_663,plain,
( h2(e11) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_6_662,refute_6_289]) ).
cnf(refute_6_664,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_6_663,refute_6_297]) ).
cnf(refute_6_665,plain,
( ~ definitionFOFtoCNF_0
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_664,refute_6_14]) ).
cnf(refute_6_666,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_6_114]) ).
cnf(refute_6_667,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_6_668,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_19,refute_6_667]) ).
cnf(refute_6_669,plain,
h1(e11) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_6_668,refute_6_666]) ).
cnf(refute_6_670,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_6_115]) ).
cnf(refute_6_671,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_6_672,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) != op2(e20,h4(e12))
| op2(e20,h4(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_6_673,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_6_671,refute_6_672]) ).
cnf(refute_6_674,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_6_94,refute_6_673]) ).
cnf(refute_6_675,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_6_676,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_677,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_6_675,refute_6_676]) ).
cnf(refute_6_678,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_230,refute_6_677]) ).
cnf(refute_6_679,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_6_680,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_6_678,refute_6_679]) ).
cnf(refute_6_681,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_6_674,refute_6_680]) ).
cnf(refute_6_682,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_6_683,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_6_681,refute_6_682]) ).
cnf(refute_6_684,plain,
h4(op1(e10,e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_6_670,refute_6_683]) ).
cnf(refute_6_685,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e10
| h4(e10) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e10)]]) ).
cnf(refute_6_686,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e10) = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_6_161,refute_6_685]) ).
cnf(refute_6_687,plain,
( h4(e10) = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_6_684,refute_6_686]) ).
cnf(refute_6_688,plain,
( h4(e10) != e20
| h4(e10) != op2(e20,e22)
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e20,e22)) ),[0],$fot(e20)]]) ).
cnf(refute_6_689,plain,
( h4(e10) != op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_230,refute_6_688]) ).
cnf(refute_6_690,plain,
( e20 = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e22)) )],[refute_6_687,refute_6_689]) ).
cnf(refute_6_691,plain,
( e20 != op2(e20,e22)
| op2(e20,e22) = e20 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_6_692,plain,
( op1(e10,e10) = e10
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_6_690,refute_6_691]) ).
cnf(refute_6_693,plain,
( h1(e11) != e20
| op2(e20,e22) != e20
| h1(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_6_694,plain,
( h1(e11) != e20
| h1(e11) = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_6_692,refute_6_693]) ).
cnf(refute_6_695,plain,
( h1(e11) != e20
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_6_694,refute_6_669]) ).
cnf(refute_6_696,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_6_116]) ).
cnf(refute_6_697,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_6_698,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_699,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_6_697,refute_6_698]) ).
cnf(refute_6_700,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_230,refute_6_699]) ).
cnf(refute_6_701,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_6_702,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_703,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_6_701,refute_6_702]) ).
cnf(refute_6_704,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_230,refute_6_703]) ).
cnf(refute_6_705,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_6_706,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_6_704,refute_6_705]) ).
cnf(refute_6_707,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_6_700,refute_6_706]) ).
cnf(refute_6_708,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_6_709,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_6_707,refute_6_708]) ).
cnf(refute_6_710,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_19,refute_6_709]) ).
cnf(refute_6_711,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_6_712,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_6_710,refute_6_711]) ).
cnf(refute_6_713,plain,
h4(op1(e10,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_6_696,refute_6_712]) ).
cnf(refute_6_714,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 ),
inference(canonicalize,[],[normalize_6_119]) ).
cnf(refute_6_715,plain,
( e23 != h2(e11)
| op2(e20,e21) != e23
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(h2(e11))]]) ).
cnf(refute_6_716,plain,
( e23 != h2(e11)
| op2(e20,e21) = e21
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_6_349,refute_6_715]) ).
cnf(refute_6_717,plain,
( e23 != h2(e11)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_6_716,refute_6_321]) ).
cnf(refute_6_718,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(canonicalize,[],[normalize_6_120]) ).
cnf(refute_6_719,plain,
op2(e21,h4(e11)) = op2(e21,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e11)))]]) ).
cnf(refute_6_720,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) != op2(e21,h4(e11))
| op2(e21,h4(e11)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_6_721,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) )],[refute_6_719,refute_6_720]) ).
cnf(refute_6_722,plain,
op2(e21,h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_102,refute_6_721]) ).
cnf(refute_6_723,plain,
op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_6_724,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(e21)]]) ).
cnf(refute_6_725,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_6_723,refute_6_724]) ).
cnf(refute_6_726,plain,
op2(h4(e11),h4(e11)) = op2(e21,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_102,refute_6_725]) ).
cnf(refute_6_727,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) != op2(e21,h4(e11))
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,h4(e11)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_6_728,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,h4(e11))) )],[refute_6_726,refute_6_727]) ).
cnf(refute_6_729,plain,
op2(h4(e11),h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,e21)) )],[refute_6_722,refute_6_728]) ).
cnf(refute_6_730,plain,
( op2(e21,e21) != h2(e11)
| op2(h4(e11),h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_6_731,plain,
( op2(e21,e21) != h2(e11)
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,e21)) )],[refute_6_729,refute_6_730]) ).
cnf(refute_6_732,plain,
op2(h4(e11),h4(e11)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_287,refute_6_731]) ).
cnf(refute_6_733,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) != h2(e11)
| h4(op1(e11,e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_6_734,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_6_732,refute_6_733]) ).
cnf(refute_6_735,plain,
h4(op1(e11,e11)) = h2(e11),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_6_718,refute_6_734]) ).
cnf(refute_6_736,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_6_125]) ).
cnf(refute_6_737,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_6_738,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_6_739,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_6_737,refute_6_738]) ).
cnf(refute_6_740,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_6,refute_6_739]) ).
cnf(refute_6_741,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_6_742,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_6_743,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_6_741,refute_6_742]) ).
cnf(refute_6_744,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_6,refute_6_743]) ).
cnf(refute_6_745,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_6_746,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_6_744,refute_6_745]) ).
cnf(refute_6_747,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_6_740,refute_6_746]) ).
cnf(refute_6_748,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e13
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| op1(e11,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e13) ),[0],$fot(op1(e11,e11))]]) ).
cnf(refute_6_749,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_6_747,refute_6_748]) ).
cnf(refute_6_750,plain,
( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e13) )],[refute_6_736,refute_6_749]) ).
cnf(refute_6_751,plain,
( h4(op1(e11,e11)) != h2(e11)
| op1(e11,e11) != e13
| h4(e13) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_6_752,plain,
( h4(op1(e11,e11)) != h2(e11)
| h4(e13) = h2(e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_6_750,refute_6_751]) ).
cnf(refute_6_753,plain,
( h4(e13) = h2(e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_6_735,refute_6_752]) ).
cnf(refute_6_754,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_6_126]) ).
cnf(refute_6_755,plain,
( h4(e13) != e23
| h4(e13) != h2(e11)
| e23 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h2(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_6_756,plain,
( h4(e13) != h2(e11)
| e23 = h2(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_6_754,refute_6_755]) ).
cnf(refute_6_757,plain,
( e23 = h2(e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h4(e13),h2(e11)) )],[refute_6_753,refute_6_756]) ).
cnf(refute_6_758,plain,
( e23 != h2(e11)
| h2(e11) = e23 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e23)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_6_759,plain,
( h2(e11) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e23,h2(e11)) )],[refute_6_757,refute_6_758]) ).
cnf(refute_6_760,plain,
( e23 != e23
| h2(e11) != e23
| e23 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h2(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_6_761,plain,
( e23 != e23
| e23 = h2(e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_759,refute_6_760]) ).
cnf(refute_6_762,plain,
( e23 != e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e23,h2(e11)) )],[refute_6_761,refute_6_717]) ).
cnf(refute_6_763,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_279,refute_6_762]) ).
cnf(refute_6_764,plain,
( h1(e11) != e21
| h1(e11) = op2(e20,e21)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_763,refute_6_354]) ).
cnf(refute_6_765,plain,
( h1(e11) != e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_6_764,refute_6_317]) ).
cnf(refute_6_766,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_6_127]) ).
cnf(refute_6_767,plain,
op1(e10,op1(e13,e11)) = op1(e10,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e11)))]]) ).
cnf(refute_6_768,plain,
( op1(e10,op1(e13,e11)) != op1(e10,op1(e13,e11))
| op1(e13,e11) != e10
| op1(e10,op1(e13,e11)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,op1(e13,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_6_769,plain,
( op1(e13,e11) != e10
| op1(e10,op1(e13,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,op1(e13,e11))) )],[refute_6_767,refute_6_768]) ).
cnf(refute_6_770,plain,
op1(e10,op1(e13,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_6_157,refute_6_769]) ).
cnf(refute_6_771,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(op1(e13,e11),op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e11),op1(e13,e11)))]]) ).
cnf(refute_6_772,plain,
( op1(e13,e11) != e10
| op1(op1(e13,e11),op1(e13,e11)) != op1(op1(e13,e11),op1(e13,e11))
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(op1(e13,e11),op1(e13,e11))) ),[1,0],$fot(e10)]]) ).
cnf(refute_6_773,plain,
( op1(e13,e11) != e10
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(op1(e13,e11),op1(e13,e11))) )],[refute_6_771,refute_6_772]) ).
cnf(refute_6_774,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_6_157,refute_6_773]) ).
cnf(refute_6_775,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e10)
| op1(op1(e13,e11),op1(e13,e11)) != op1(e10,op1(e13,e11))
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op1(op1(e13,e11),op1(e13,e11)))),bind(Y,$fot(op1(e10,op1(e13,e11)))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_6_776,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e10)
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(e10,op1(e13,e11))) )],[refute_6_774,refute_6_775]) ).
cnf(refute_6_777,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,e10)) )],[refute_6_770,refute_6_776]) ).
cnf(refute_6_778,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| op1(op1(e13,e11),op1(e13,e11)) != op1(e10,e10)
| op1(e10,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),e11) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_6_779,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(e10,e10)) )],[refute_6_777,refute_6_778]) ).
cnf(refute_6_780,plain,
( op1(e10,e10) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),e11) )],[refute_6_766,refute_6_779]) ).
cnf(refute_6_781,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e11
| h4(e11) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e11)]]) ).
cnf(refute_6_782,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e11) = h1(e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_6_780,refute_6_781]) ).
cnf(refute_6_783,plain,
( h4(e11) = h1(e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_6_713,refute_6_782]) ).
cnf(refute_6_784,plain,
( h4(e11) != e21
| h4(e11) != h1(e11)
| e21 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h1(e11)) ),[0],$fot(e21)]]) ).
cnf(refute_6_785,plain,
( h4(e11) != h1(e11)
| e21 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_102,refute_6_784]) ).
cnf(refute_6_786,plain,
( e21 = h1(e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_6_783,refute_6_785]) ).
cnf(refute_6_787,plain,
( e21 != h1(e11)
| h1(e11) = e21 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e21)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_6_788,plain,
( h1(e11) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e21,h1(e11)) )],[refute_6_786,refute_6_787]) ).
cnf(refute_6_789,plain,
( e21 != e21
| h1(e11) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_6_788,refute_6_375]) ).
cnf(refute_6_790,plain,
( e21 != e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_6_789,refute_6_765]) ).
cnf(refute_6_791,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_378,refute_6_790]) ).
cnf(refute_6_792,plain,
( op1(op1(e12,e13),op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_6_791,refute_6_714]) ).
cnf(refute_6_793,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_6_128]) ).
cnf(refute_6_794,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_6_129]) ).
cnf(refute_6_795,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_6_130]) ).
cnf(refute_6_796,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_797,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_6,refute_6_796]) ).
cnf(refute_6_798,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_6_797,refute_6_795]) ).
cnf(refute_6_799,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_6_794,refute_6_798]) ).
cnf(refute_6_800,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_6_131]) ).
cnf(refute_6_801,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_6_802,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_126,refute_6_801]) ).
cnf(refute_6_803,plain,
e12 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_6_802,refute_6_800]) ).
cnf(refute_6_804,plain,
( op1(e12,e13) != e12
| e12 = op1(e12,e13) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_6_805,plain,
op1(e12,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_6_804,refute_6_803]) ).
cnf(refute_6_806,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_6_799,refute_6_805]) ).
cnf(refute_6_807,plain,
( op1(e11,e13) != e13
| op1(e12,e13) != e13
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_6_808,plain,
( op1(e11,e13) != e13
| op1(e11,e13) = op1(e12,e13)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_6_806,refute_6_807]) ).
cnf(refute_6_809,plain,
( op1(e11,e13) != e13
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_6_808,refute_6_793]) ).
cnf(refute_6_810,plain,
op1(e11,e10) != op1(e11,e13),
inference(canonicalize,[],[normalize_6_132]) ).
cnf(refute_6_811,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_6_133]) ).
cnf(refute_6_812,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_6_811,refute_6_631]) ).
cnf(refute_6_813,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_6_134]) ).
cnf(refute_6_814,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_6_815,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_126,refute_6_814]) ).
cnf(refute_6_816,plain,
e12 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_6_815,refute_6_813]) ).
cnf(refute_6_817,plain,
( op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_6_818,plain,
op1(e11,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_6_817,refute_6_816]) ).
cnf(refute_6_819,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_6_812,refute_6_818]) ).
cnf(refute_6_820,plain,
( op1(e11,e10) != e10
| op1(e11,e13) != e10
| op1(e11,e10) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_6_821,plain,
( op1(e11,e10) != e10
| op1(e11,e10) = op1(e11,e13)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_6_819,refute_6_820]) ).
cnf(refute_6_822,plain,
( op1(e11,e10) != e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e13)) )],[refute_6_821,refute_6_810]) ).
cnf(refute_6_823,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 ),
inference(canonicalize,[],[normalize_6_135]) ).
cnf(refute_6_824,plain,
( op1(op1(e12,e10),op1(e12,e10)) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_6_791,refute_6_823]) ).
cnf(refute_6_825,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(canonicalize,[],[normalize_6_136]) ).
cnf(refute_6_826,plain,
op1(e13,e10) != op1(e13,e11),
inference(canonicalize,[],[normalize_6_137]) ).
cnf(refute_6_827,plain,
( op1(e13,e10) != e10
| op1(e13,e11) != e10
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_6_828,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_6_157,refute_6_827]) ).
cnf(refute_6_829,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_6_828,refute_6_826]) ).
cnf(refute_6_830,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_6_825,refute_6_829]) ).
cnf(refute_6_831,plain,
( op1(e12,e10) != e10
| op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(e10,op1(e12,e10)) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),op1(e12,e10)),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_6_832,plain,
( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(e10,e10) = e10
| op1(e10,op1(e12,e10)) = e10
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_6_830,refute_6_831]) ).
cnf(refute_6_833,plain,
( op1(e10,e10) = e10
| op1(e10,op1(e12,e10)) = e10
| op1(e11,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),op1(e12,e10)),e10) )],[refute_6_824,refute_6_832]) ).
cnf(refute_6_834,plain,
( op1(e10,op1(e12,e10)) != e10
| op1(e12,e10) != e10
| op1(e10,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e10)),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_6_835,plain,
( op1(e10,op1(e12,e10)) != e10
| op1(e10,e10) = e10
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_6_830,refute_6_834]) ).
cnf(refute_6_836,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e10)),e10) )],[refute_6_833,refute_6_835]) ).
cnf(refute_6_837,plain,
( e10 != e10
| op1(e11,e10) != e10
| op1(e11,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_6_838,plain,
( e10 != e10
| op1(e10,e10) = e10
| op1(e11,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_6_836,refute_6_837]) ).
cnf(refute_6_839,plain,
( e10 != e10
| op1(e10,e10) = e10
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_6_838,refute_6_822]) ).
cnf(refute_6_840,plain,
( op1(e10,e10) = e10
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_6_194,refute_6_839]) ).
cnf(refute_6_841,plain,
( e13 != e13
| op1(e11,e13) != e13
| op1(e11,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_6_842,plain,
( e13 != e13
| op1(e10,e10) = e10
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_6_840,refute_6_841]) ).
cnf(refute_6_843,plain,
( e13 != e13
| op1(e10,e10) = e10
| op1(e12,e13) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_6_842,refute_6_809]) ).
cnf(refute_6_844,plain,
( op1(e10,e10) = e10
| op1(e12,e13) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_189,refute_6_843]) ).
cnf(refute_6_845,plain,
( op1(e12,e13) != e10
| op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e10,op1(e12,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) ),[0,0],$fot(e10)]]) ).
cnf(refute_6_846,plain,
( op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e10,e10) = e10
| op1(e10,op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_6_844,refute_6_845]) ).
cnf(refute_6_847,plain,
( op1(e10,e10) = e10
| op1(e10,op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) )],[refute_6_792,refute_6_846]) ).
cnf(refute_6_848,plain,
( op1(e10,op1(e12,e13)) != e13
| op1(e12,e13) != e10
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e13)),e13) ),[0,1],$fot(e10)]]) ).
cnf(refute_6_849,plain,
( op1(e10,op1(e12,e13)) != e13
| op1(e10,e10) = e10
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_6_844,refute_6_848]) ).
cnf(refute_6_850,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e13)),e13) )],[refute_6_847,refute_6_849]) ).
cnf(refute_6_851,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e13
| h4(e13) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_6_852,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e13) = h1(e11)
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_6_850,refute_6_851]) ).
cnf(refute_6_853,plain,
( h4(e13) = h1(e11)
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_6_713,refute_6_852]) ).
cnf(refute_6_854,plain,
( h4(e13) != e23
| h4(e13) != h1(e11)
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h1(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_6_855,plain,
( h4(e13) != h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_6_754,refute_6_854]) ).
cnf(refute_6_856,plain,
( e23 = h1(e11)
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e13),h1(e11)) )],[refute_6_853,refute_6_855]) ).
cnf(refute_6_857,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e10
| h4(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e10)]]) ).
cnf(refute_6_858,plain,
( h4(op1(e10,e10)) != h1(e11)
| e23 = h1(e11)
| h4(e10) = h1(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_6_856,refute_6_857]) ).
cnf(refute_6_859,plain,
( e23 = h1(e11)
| h4(e10) = h1(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_6_713,refute_6_858]) ).
cnf(refute_6_860,plain,
( h4(e10) != e20
| h4(e10) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h1(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_6_861,plain,
( h4(e10) != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_230,refute_6_860]) ).
cnf(refute_6_862,plain,
( e20 = h1(e11)
| e23 = h1(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_6_859,refute_6_861]) ).
cnf(refute_6_863,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_6_138]) ).
cnf(refute_6_864,plain,
( op2(e21,e22) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_6_865,plain,
( op2(e21,e22) != h3(e11)
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_238,refute_6_864]) ).
cnf(refute_6_866,plain,
op2(e21,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_6_865,refute_6_863]) ).
cnf(refute_6_867,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(canonicalize,[],[normalize_6_139]) ).
cnf(refute_6_868,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_6_869,plain,
( op2(e21,e21) != h2(e11)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_6_870,plain,
( op2(e21,e21) != h2(e11)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_6_868,refute_6_869]) ).
cnf(refute_6_871,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_287,refute_6_870]) ).
cnf(refute_6_872,plain,
( h2(e10) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) != op2(e21,h2(e11))
| h2(e10) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e21,h2(e11))) ),[0],$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_6_873,plain,
( h2(e10) != op2(e21,op2(e21,e21))
| h2(e10) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e11))) )],[refute_6_871,refute_6_872]) ).
cnf(refute_6_874,plain,
h2(e10) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,op2(e21,e21))) )],[refute_6_867,refute_6_873]) ).
cnf(refute_6_875,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(canonicalize,[],[normalize_6_140]) ).
cnf(refute_6_876,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_6_877,plain,
( op2(e20,e20) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_19,refute_6_876]) ).
cnf(refute_6_878,plain,
( h1(e11) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_6_875,refute_6_877]) ).
cnf(refute_6_879,plain,
( op2(e20,e23) != e21
| op2(e20,e23) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e21) ),[0],$fot(e22)]]) ).
cnf(refute_6_880,plain,
( op2(e20,e23) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_40,refute_6_879]) ).
cnf(refute_6_881,plain,
( e22 = e21
| h1(e11) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_6_878,refute_6_880]) ).
cnf(refute_6_882,plain,
( h1(e11) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_6_881,refute_6_601]) ).
cnf(refute_6_883,plain,
( op2(e20,e22) != e20
| op2(e20,e22) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0],$fot(e21)]]) ).
cnf(refute_6_884,plain,
( op2(e20,e22) != e20
| e21 = e20
| h1(e11) = e21
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_6_882,refute_6_883]) ).
cnf(refute_6_885,plain,
( e21 = e20
| h1(e11) = e20
| h1(e11) = e21
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_6_64,refute_6_884]) ).
cnf(refute_6_886,plain,
e20 != e21,
inference(canonicalize,[],[normalize_6_141]) ).
cnf(refute_6_887,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_6_888,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_6_887,refute_6_886]) ).
cnf(refute_6_889,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_6_885,refute_6_888]) ).
cnf(refute_6_890,plain,
( e21 != h2(e11)
| h1(e11) = e20
| h1(e11) = e21
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_889,refute_6_466]) ).
cnf(refute_6_891,plain,
( e21 != h2(e11)
| h1(e11) = e20
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_6_890,refute_6_321]) ).
cnf(refute_6_892,plain,
( e21 != e21
| e21 = h2(e11)
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_500,refute_6_512]) ).
cnf(refute_6_893,plain,
( e21 != e21
| h1(e11) = e20
| h1(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_6_892,refute_6_891]) ).
cnf(refute_6_894,plain,
( h1(e11) = e20
| h1(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_378,refute_6_893]) ).
cnf(refute_6_895,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e11) != e22
| h2(e10) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_6_896,plain,
( h2(e10) != op2(e21,h2(e11))
| h1(e11) = e20
| h1(e11) = e21
| h2(e10) = op2(e21,e22)
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_6_894,refute_6_895]) ).
cnf(refute_6_897,plain,
( h1(e11) = e20
| h1(e11) = e21
| h2(e10) = op2(e21,e22)
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) )],[refute_6_874,refute_6_896]) ).
cnf(refute_6_898,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_6_142]) ).
cnf(refute_6_899,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_6_143]) ).
cnf(refute_6_900,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_6_144]) ).
cnf(refute_6_901,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_145]) ).
cnf(refute_6_902,plain,
( op2(e23,e22) != e21
| op2(e23,e23) != e21
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_6_903,plain,
( op2(e23,e22) != e21
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_51,refute_6_902]) ).
cnf(refute_6_904,plain,
op2(e23,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_6_903,refute_6_901]) ).
cnf(refute_6_905,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_6_900,refute_6_904]) ).
cnf(refute_6_906,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_6_146]) ).
cnf(refute_6_907,plain,
( e20 != op2(e23,e22)
| op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e20) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_6_908,plain,
( e20 != op2(e23,e22)
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_6_60,refute_6_907]) ).
cnf(refute_6_909,plain,
e20 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_6_908,refute_6_906]) ).
cnf(refute_6_910,plain,
( op2(e23,e22) != e20
| e20 = op2(e23,e22) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e20))]]) ).
cnf(refute_6_911,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_6_910,refute_6_909]) ).
cnf(refute_6_912,plain,
( op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_6_905,refute_6_911]) ).
cnf(refute_6_913,plain,
( op2(e23,e20) != e22
| op2(e23,e22) != e22
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_6_914,plain,
( op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e22)
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_6_912,refute_6_913]) ).
cnf(refute_6_915,plain,
( op2(e23,e20) != e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_6_914,refute_6_899]) ).
cnf(refute_6_916,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_6_147]) ).
cnf(refute_6_917,plain,
( h1(e11) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_6_916,refute_6_26]) ).
cnf(refute_6_918,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_6_917,refute_6_877]) ).
cnf(refute_6_919,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_6_918,refute_6_72]) ).
cnf(refute_6_920,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_6_919,refute_6_434]) ).
cnf(refute_6_921,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_6_920,refute_6_80]) ).
cnf(refute_6_922,plain,
( e23 != op2(e23,e20)
| h1(e11) = e20
| h1(e11) = e21
| h1(e11) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_6_921,refute_6_558]) ).
cnf(refute_6_923,plain,
( e23 != op2(e23,e20)
| h1(e11) = e20
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,e20)) )],[refute_6_922,refute_6_557]) ).
cnf(refute_6_924,plain,
( e23 != e23
| h1(e11) = e20
| h1(e11) = e21
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_6_573,refute_6_923]) ).
cnf(refute_6_925,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_279,refute_6_924]) ).
cnf(refute_6_926,plain,
( e22 != e22
| op2(e23,e20) != e22
| op2(e23,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(e22)]]) ).
cnf(refute_6_927,plain,
( e22 != e22
| h1(e11) = e20
| h1(e11) = e21
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_6_925,refute_6_926]) ).
cnf(refute_6_928,plain,
( e22 != e22
| h1(e11) = e20
| h1(e11) = e21
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_6_927,refute_6_915]) ).
cnf(refute_6_929,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_536,refute_6_928]) ).
cnf(refute_6_930,plain,
( op2(e21,e22) != e23
| op2(e23,e22) != e23
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_6_931,plain,
( op2(e21,e22) != e23
| h1(e11) = e20
| h1(e11) = e21
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_6_929,refute_6_930]) ).
cnf(refute_6_932,plain,
( op2(e21,e22) != e23
| h1(e11) = e20
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_6_931,refute_6_898]) ).
cnf(refute_6_933,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_6_148]) ).
cnf(refute_6_934,plain,
( e20 != op2(e21,e22)
| op2(e20,e22) != e20
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_6_935,plain,
( e20 != op2(e21,e22)
| h1(e11) = e20
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_6_64,refute_6_934]) ).
cnf(refute_6_936,plain,
( e20 != op2(e21,e22)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_6_935,refute_6_933]) ).
cnf(refute_6_937,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_6_149]) ).
cnf(refute_6_938,plain,
( e20 != e20
| e20 = op2(e21,e22)
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_6_937,refute_6_304]) ).
cnf(refute_6_939,plain,
( e20 != e20
| h1(e11) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e22)) )],[refute_6_938,refute_6_936]) ).
cnf(refute_6_940,plain,
( h1(e11) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_302,refute_6_939]) ).
cnf(refute_6_941,plain,
( e23 != e23
| op2(e21,e22) != e23
| op2(e21,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_6_942,plain,
( e23 != e23
| h1(e11) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_6_940,refute_6_941]) ).
cnf(refute_6_943,plain,
( e23 != e23
| h1(e11) = e20
| h1(e11) = e21
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_6_942,refute_6_932]) ).
cnf(refute_6_944,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_279,refute_6_943]) ).
cnf(refute_6_945,plain,
( h2(e10) != op2(e21,e22)
| op2(e21,e22) != e22
| h2(e10) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),e22) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_6_946,plain,
( h2(e10) != op2(e21,e22)
| h1(e11) = e20
| h1(e11) = e21
| h2(e10) = e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_6_944,refute_6_945]) ).
cnf(refute_6_947,plain,
( h1(e11) = e20
| h1(e11) = e21
| h2(e10) = e22
| h2(e11) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e22)) )],[refute_6_897,refute_6_946]) ).
cnf(refute_6_948,plain,
op2(e21,e21) != op2(e21,e22),
inference(canonicalize,[],[normalize_6_150]) ).
cnf(refute_6_949,plain,
( h2(e11) != op2(e21,e22)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_6_950,plain,
( h2(e11) != op2(e21,e22)
| op2(e21,e21) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_287,refute_6_949]) ).
cnf(refute_6_951,plain,
h2(e11) != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e22)) )],[refute_6_950,refute_6_948]) ).
cnf(refute_6_952,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e10) = op2(e21,e22)
| h2(e11) = e21
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_6_500,refute_6_895]) ).
cnf(refute_6_953,plain,
( h2(e10) = op2(e21,e22)
| h2(e11) = e21
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) )],[refute_6_874,refute_6_952]) ).
cnf(refute_6_954,plain,
( h2(e10) != op2(e21,e22)
| op2(e21,e22) = h2(e10) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_6_955,plain,
( h2(e11) = e21
| h2(e11) = e23
| op2(e21,e22) = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e22)) )],[refute_6_953,refute_6_954]) ).
cnf(refute_6_956,plain,
( h2(e11) != h2(e10)
| op2(e21,e22) != h2(e10)
| h2(e11) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e21,e22)) ),[1],$fot(h2(e10))]]) ).
cnf(refute_6_957,plain,
( h2(e11) != h2(e10)
| h2(e11) = e21
| h2(e11) = e23
| h2(e11) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h2(e10)) )],[refute_6_955,refute_6_956]) ).
cnf(refute_6_958,plain,
( h2(e11) != h2(e10)
| h2(e11) = e21
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e22)) )],[refute_6_957,refute_6_951]) ).
cnf(refute_6_959,plain,
( h2(e11) != e21
| h2(e11) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_6_960,plain,
( h2(e11) != h2(e10)
| h2(e10) = e21
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_958,refute_6_959]) ).
cnf(refute_6_961,plain,
( h2(e11) != e23
| h2(e11) != h2(e10)
| h2(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[0],$fot(h2(e10))]]) ).
cnf(refute_6_962,plain,
( h2(e11) != h2(e10)
| h2(e10) = e21
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_960,refute_6_961]) ).
cnf(refute_6_963,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e11) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_6_964,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e10) = op2(e21,e21)
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_500,refute_6_963]) ).
cnf(refute_6_965,plain,
( h2(e10) = op2(e21,e21)
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) )],[refute_6_874,refute_6_964]) ).
cnf(refute_6_966,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e11)
| h2(e10) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e11)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_6_967,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_287,refute_6_966]) ).
cnf(refute_6_968,plain,
( h2(e10) = h2(e11)
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_6_965,refute_6_967]) ).
cnf(refute_6_969,plain,
( e23 != e23
| e23 = h2(e11)
| h2(e10) = h2(e11)
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_968,refute_6_760]) ).
cnf(refute_6_970,plain,
( e23 != e23
| h2(e10) = h2(e11)
| h2(e11) = e22
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e23,h2(e11)) )],[refute_6_969,refute_6_717]) ).
cnf(refute_6_971,plain,
( h2(e10) = h2(e11)
| h2(e11) = e22
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_279,refute_6_970]) ).
cnf(refute_6_972,plain,
( e21 != h2(e11)
| h2(e10) = h2(e11)
| h2(e11) = e22
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_971,refute_6_466]) ).
cnf(refute_6_973,plain,
( e21 != h2(e11)
| h2(e10) = h2(e11)
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_6_972,refute_6_321]) ).
cnf(refute_6_974,plain,
( e21 != e21
| e21 != h2(e11)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(e21,e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_6_975,plain,
( e21 != h2(e11)
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_378,refute_6_974]) ).
cnf(refute_6_976,plain,
( h2(e10) != h2(e11)
| h2(e11) != e21
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_6_977,plain,
( e21 != h2(e11)
| h2(e10) != h2(e11)
| h2(e10) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_975,refute_6_976]) ).
cnf(refute_6_978,plain,
( e21 != h2(e11)
| h2(e10) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e11)) )],[refute_6_973,refute_6_977]) ).
cnf(refute_6_979,plain,
( h2(e11) != e21
| h2(e11) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[0],$fot(e21)]]) ).
cnf(refute_6_980,plain,
( e21 != h2(e11)
| h2(e11) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_975,refute_6_979]) ).
cnf(refute_6_981,plain,
( e21 != h2(e11)
| e21 = e22
| h2(e10) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_6_978,refute_6_980]) ).
cnf(refute_6_982,plain,
( e21 != e22
| e22 = e21 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e21)),bind(Y,$fot(e22))]]) ).
cnf(refute_6_983,plain,
e21 != e22,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_6_982,refute_6_601]) ).
cnf(refute_6_984,plain,
( e21 != h2(e11)
| h2(e10) = e21 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_6_981,refute_6_983]) ).
cnf(refute_6_985,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e11) != e23
| h2(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_986,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e10) = op2(e21,e23)
| h2(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_500,refute_6_985]) ).
cnf(refute_6_987,plain,
( h2(e10) = op2(e21,e23)
| h2(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) )],[refute_6_874,refute_6_986]) ).
cnf(refute_6_988,plain,
( h2(e10) != op2(e21,e23)
| op2(e21,e23) = h2(e10) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_6_989,plain,
( h2(e11) = e21
| h2(e11) = e22
| op2(e21,e23) = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e23)) )],[refute_6_987,refute_6_988]) ).
cnf(refute_6_990,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != h2(e10)
| h2(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h2(e10))]]) ).
cnf(refute_6_991,plain,
( op2(e21,e23) != e20
| h2(e10) = e20
| h2(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h2(e10)) )],[refute_6_989,refute_6_990]) ).
cnf(refute_6_992,plain,
( h2(e10) = e20
| h2(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_6_504,refute_6_991]) ).
cnf(refute_6_993,plain,
( e21 != e21
| e21 = h2(e11)
| h2(e10) = e20
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_992,refute_6_512]) ).
cnf(refute_6_994,plain,
( e21 != e21
| h2(e10) = e20
| h2(e10) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_6_993,refute_6_984]) ).
cnf(refute_6_995,plain,
( h2(e10) = e20
| h2(e10) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_378,refute_6_994]) ).
cnf(refute_6_996,plain,
( e22 != h2(e10)
| h2(e11) != e22
| h2(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[1],$fot(h2(e10))]]) ).
cnf(refute_6_997,plain,
( e22 != h2(e10)
| h2(e10) = e20
| h2(e10) = e21
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_6_995,refute_6_996]) ).
cnf(refute_6_998,plain,
( e22 != h2(e10)
| h2(e10) = e20
| h2(e10) = e21
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_6_997,refute_6_962]) ).
cnf(refute_6_999,plain,
( e22 != e22
| e22 != h2(e10)
| h2(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(e22,e22) ),[0],$fot(h2(e10))]]) ).
cnf(refute_6_1000,plain,
( e22 != h2(e10)
| h2(e10) = e22 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_536,refute_6_999]) ).
cnf(refute_6_1001,plain,
( h2(e10) != e20
| h2(e10) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),e20) ),[0],$fot(e22)]]) ).
cnf(refute_6_1002,plain,
( e22 != h2(e10)
| h2(e10) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_6_1000,refute_6_1001]) ).
cnf(refute_6_1003,plain,
( e22 != h2(e10)
| e22 = e20
| h2(e10) = e21
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),e20) )],[refute_6_998,refute_6_1002]) ).
cnf(refute_6_1004,plain,
( h2(e10) != e21
| h2(e10) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),e21) ),[0],$fot(e22)]]) ).
cnf(refute_6_1005,plain,
( e22 != h2(e10)
| h2(e10) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_6_1000,refute_6_1004]) ).
cnf(refute_6_1006,plain,
( e22 != h2(e10)
| e22 = e20
| e22 = e21
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_6_1003,refute_6_1005]) ).
cnf(refute_6_1007,plain,
( h2(e10) != e22
| h2(e10) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),e23) ),[0],$fot(e22)]]) ).
cnf(refute_6_1008,plain,
( e22 != h2(e10)
| h2(e10) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_6_1000,refute_6_1007]) ).
cnf(refute_6_1009,plain,
( e22 != h2(e10)
| e22 = e20
| e22 = e21
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),e23) )],[refute_6_1006,refute_6_1008]) ).
cnf(refute_6_1010,plain,
( e22 != h2(e10)
| e22 = e21
| e22 = e23 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_6_1009,refute_6_46]) ).
cnf(refute_6_1011,plain,
( e22 != h2(e10)
| e22 = e23 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_6_1010,refute_6_601]) ).
cnf(refute_6_1012,plain,
e22 != h2(e10),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_1011,refute_6_413]) ).
cnf(refute_6_1013,plain,
( h2(e10) != e22
| e22 = h2(e10) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(e22))]]) ).
cnf(refute_6_1014,plain,
h2(e10) != e22,
inference(resolve,[$cnf( $equal(e22,h2(e10)) )],[refute_6_1013,refute_6_1012]) ).
cnf(refute_6_1015,plain,
( h1(e11) = e20
| h1(e11) = e21
| h2(e11) = e23
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_6_947,refute_6_1014]) ).
cnf(refute_6_1016,plain,
( h2(e10) != op2(e21,e22)
| op2(e21,e22) != e21
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),e21) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_6_1017,plain,
( h2(e10) != op2(e21,e22)
| h1(e11) = e20
| h1(e11) = e21
| h2(e10) = e21
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_1015,refute_6_1016]) ).
cnf(refute_6_1018,plain,
( h1(e11) = e20
| h1(e11) = e21
| h2(e10) = e21
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e22)) )],[refute_6_897,refute_6_1017]) ).
cnf(refute_6_1019,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(canonicalize,[],[normalize_6_151]) ).
cnf(refute_6_1020,plain,
op1(e11,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_6_152]) ).
cnf(refute_6_1021,plain,
( op1(e11,e11) != e10
| op1(e13,e11) != e10
| op1(e11,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_6_1022,plain,
( op1(e11,e11) != e10
| op1(e11,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_6_157,refute_6_1021]) ).
cnf(refute_6_1023,plain,
op1(e11,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,e11)) )],[refute_6_1022,refute_6_1020]) ).
cnf(refute_6_1024,plain,
( op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_1019,refute_6_1023]) ).
cnf(refute_6_1025,plain,
( h4(op1(e11,e11)) != h2(e11)
| op1(e11,e11) != e11
| h4(e11) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e11)]]) ).
cnf(refute_6_1026,plain,
( h4(op1(e11,e11)) != h2(e11)
| h4(e11) = h2(e11)
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_6_1024,refute_6_1025]) ).
cnf(refute_6_1027,plain,
( h4(e11) = h2(e11)
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_6_735,refute_6_1026]) ).
cnf(refute_6_1028,plain,
( h4(e11) != e21
| h4(e11) != h2(e11)
| e21 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h2(e11)) ),[0],$fot(e21)]]) ).
cnf(refute_6_1029,plain,
( h4(e11) != h2(e11)
| e21 = h2(e11) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_102,refute_6_1028]) ).
cnf(refute_6_1030,plain,
( e21 = h2(e11)
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e11)) )],[refute_6_1027,refute_6_1029]) ).
cnf(refute_6_1031,plain,
( h4(op1(e11,e11)) != h2(e11)
| op1(e11,e11) != e12
| h4(e12) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e12)]]) ).
cnf(refute_6_1032,plain,
( h4(op1(e11,e11)) != h2(e11)
| e21 = h2(e11)
| h4(e12) = h2(e11)
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_6_1030,refute_6_1031]) ).
cnf(refute_6_1033,plain,
( e21 = h2(e11)
| h4(e12) = h2(e11)
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_6_735,refute_6_1032]) ).
cnf(refute_6_1034,plain,
( h4(e12) != e22
| h4(e12) != h2(e11)
| e22 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h2(e11)) ),[0],$fot(e22)]]) ).
cnf(refute_6_1035,plain,
( h4(e12) != h2(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_6_94,refute_6_1034]) ).
cnf(refute_6_1036,plain,
( e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(e12),h2(e11)) )],[refute_6_1033,refute_6_1035]) ).
cnf(refute_6_1037,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(canonicalize,[],[normalize_6_153]) ).
cnf(refute_6_1038,plain,
( h2(e11) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_6_1037,refute_6_492]) ).
cnf(refute_6_1039,plain,
( h2(e11) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_6_1038,refute_6_477]) ).
cnf(refute_6_1040,plain,
( h4(op1(e11,e12)) != e21
| op2(e21,e22) != e21
| h4(op1(e11,e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_6_1041,plain,
( h4(op1(e11,e12)) != e21
| h2(e11) = e21
| h4(op1(e11,e12)) = op2(e21,e22)
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_1039,refute_6_1040]) ).
cnf(refute_6_1042,plain,
( h4(op1(e11,e12)) != e21
| h2(e11) = e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_6_1041,refute_6_112]) ).
cnf(refute_6_1043,plain,
( h4(e11) != e21
| op1(e11,e12) != e11
| h4(op1(e11,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_6_1044,plain,
( h4(e11) != e21
| h4(op1(e11,e12)) = e21
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_6_632,refute_6_1043]) ).
cnf(refute_6_1045,plain,
( h4(e11) != e21
| h2(e11) = e21
| op1(e11,e10) = e11
| op1(e11,e11) = e11
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_6_1044,refute_6_1042]) ).
cnf(refute_6_1046,plain,
( e21 != e21
| h4(e11) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_6_1047,plain,
( e21 != e21
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_102,refute_6_1046]) ).
cnf(refute_6_1048,plain,
( e21 != e21
| h2(e11) = e21
| op1(e11,e10) = e11
| op1(e11,e11) = e11
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_1047,refute_6_1045]) ).
cnf(refute_6_1049,plain,
( h2(e11) = e21
| op1(e11,e10) = e11
| op1(e11,e11) = e11
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_378,refute_6_1048]) ).
cnf(refute_6_1050,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(canonicalize,[],[normalize_6_154]) ).
cnf(refute_6_1051,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_6_1050,refute_6_818]) ).
cnf(refute_6_1052,plain,
( op1(e11,e12) != e11
| op1(e11,e12) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0],$fot(e12)]]) ).
cnf(refute_6_1053,plain,
( op1(e11,e12) != e11
| e12 = e11
| op1(e11,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_6_1051,refute_6_1052]) ).
cnf(refute_6_1054,plain,
( e12 = e11
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_6_632,refute_6_1053]) ).
cnf(refute_6_1055,plain,
( op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_6_1054,refute_6_645]) ).
cnf(refute_6_1056,plain,
( h4(op1(e11,e11)) != h2(e11)
| h4(e11) = h2(e11)
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_6_1055,refute_6_1025]) ).
cnf(refute_6_1057,plain,
( h4(e11) = h2(e11)
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_6_735,refute_6_1056]) ).
cnf(refute_6_1058,plain,
( e21 = h2(e11)
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e11)) )],[refute_6_1057,refute_6_1029]) ).
cnf(refute_6_1059,plain,
( h4(op1(e11,e11)) != h2(e11)
| e21 = h2(e11)
| h4(e12) = h2(e11)
| op1(e11,e10) = e11
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_6_1058,refute_6_1031]) ).
cnf(refute_6_1060,plain,
( e21 = h2(e11)
| h4(e12) = h2(e11)
| op1(e11,e10) = e11
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_6_735,refute_6_1059]) ).
cnf(refute_6_1061,plain,
( e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e10) = e11
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),h2(e11)) )],[refute_6_1060,refute_6_1035]) ).
cnf(refute_6_1062,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| op1(e11,e10) != e12
| h4(e12) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[0,0],$fot(e12)]]) ).
cnf(refute_6_1063,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| e21 = h2(e11)
| e22 = h2(e11)
| h4(e12) = op2(e21,e20)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_6_1061,refute_6_1062]) ).
cnf(refute_6_1064,plain,
( e21 = h2(e11)
| e22 = h2(e11)
| h4(e12) = op2(e21,e20)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) )],[refute_6_626,refute_6_1063]) ).
cnf(refute_6_1065,plain,
( h4(e12) != e22
| h4(e12) != op2(e21,e20)
| e22 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(e21,e20)) ),[0],$fot(e22)]]) ).
cnf(refute_6_1066,plain,
( h4(e12) != op2(e21,e20)
| e22 = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_6_94,refute_6_1065]) ).
cnf(refute_6_1067,plain,
( e21 = h2(e11)
| e22 = h2(e11)
| e22 = op2(e21,e20)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e21,e20)) )],[refute_6_1064,refute_6_1066]) ).
cnf(refute_6_1068,plain,
( e22 != op2(e21,e20)
| op2(e21,e20) = e22 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_6_1069,plain,
( e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e10) = e11
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e20)) )],[refute_6_1067,refute_6_1068]) ).
cnf(refute_6_1070,plain,
( op2(e21,e20) != e21
| op2(e21,e20) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0],$fot(e22)]]) ).
cnf(refute_6_1071,plain,
( op2(e21,e20) != e21
| e21 = h2(e11)
| e22 = e21
| e22 = h2(e11)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_6_1069,refute_6_1070]) ).
cnf(refute_6_1072,plain,
( e21 = h2(e11)
| e22 = e21
| e22 = h2(e11)
| h2(e11) = e21
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_6_1049,refute_6_1071]) ).
cnf(refute_6_1073,plain,
( h2(e11) != e21
| e21 = h2(e11) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(e21))]]) ).
cnf(refute_6_1074,plain,
( e21 = h2(e11)
| e22 = e21
| e22 = h2(e11)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_1072,refute_6_1073]) ).
cnf(refute_6_1075,plain,
( e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_6_1074,refute_6_601]) ).
cnf(refute_6_1076,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[0],$fot(e11)]]) ).
cnf(refute_6_1077,plain,
( op1(e11,e11) != e13
| e11 = e13
| e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_6_1075,refute_6_1076]) ).
cnf(refute_6_1078,plain,
( e11 = e13
| e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_6_1036,refute_6_1077]) ).
cnf(refute_6_1079,plain,
e11 != e13,
inference(canonicalize,[],[normalize_6_155]) ).
cnf(refute_6_1080,plain,
( e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_6_1078,refute_6_1079]) ).
cnf(refute_6_1081,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(canonicalize,[],[normalize_6_156]) ).
cnf(refute_6_1082,plain,
( h2(e11) = e22
| op2(e21,e20) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_6_1081,refute_6_495]) ).
cnf(refute_6_1083,plain,
( h2(e11) = e22
| op2(e21,e20) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_6_1082,refute_6_484]) ).
cnf(refute_6_1084,plain,
( h4(op1(e11,e12)) != e22
| op2(e21,e22) != e22
| h4(op1(e11,e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_6_1085,plain,
( h4(op1(e11,e12)) != e22
| h2(e11) = e22
| h4(op1(e11,e12)) = op2(e21,e22)
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_6_1083,refute_6_1084]) ).
cnf(refute_6_1086,plain,
( h4(op1(e11,e12)) != e22
| h2(e11) = e22
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_6_1085,refute_6_112]) ).
cnf(refute_6_1087,plain,
( h4(e12) != e22
| op1(e11,e12) != e12
| h4(op1(e11,e12)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),e22) ),[0,0],$fot(e12)]]) ).
cnf(refute_6_1088,plain,
( h4(e12) != e22
| h4(op1(e11,e12)) = e22
| op1(e11,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_6_1051,refute_6_1087]) ).
cnf(refute_6_1089,plain,
( h4(e12) != e22
| h2(e11) = e22
| op1(e11,e10) = e12
| op1(e11,e11) = e12
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e22) )],[refute_6_1088,refute_6_1086]) ).
cnf(refute_6_1090,plain,
( e22 != e22
| h4(e12) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[1],$fot(e22)]]) ).
cnf(refute_6_1091,plain,
( e22 != e22
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_6_94,refute_6_1090]) ).
cnf(refute_6_1092,plain,
( e22 != e22
| h2(e11) = e22
| op1(e11,e10) = e12
| op1(e11,e11) = e12
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_6_1091,refute_6_1089]) ).
cnf(refute_6_1093,plain,
( h2(e11) = e22
| op1(e11,e10) = e12
| op1(e11,e11) = e12
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_536,refute_6_1092]) ).
cnf(refute_6_1094,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| e21 = h2(e11)
| e22 = h2(e11)
| h4(e11) = op2(e21,e20)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_6_1061,refute_6_649]) ).
cnf(refute_6_1095,plain,
( e21 = h2(e11)
| e22 = h2(e11)
| h4(e11) = op2(e21,e20)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) )],[refute_6_626,refute_6_1094]) ).
cnf(refute_6_1096,plain,
( e21 = h2(e11)
| e21 = op2(e21,e20)
| e22 = h2(e11)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e20)) )],[refute_6_1095,refute_6_653]) ).
cnf(refute_6_1097,plain,
( e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e10) = e12
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_6_1096,refute_6_655]) ).
cnf(refute_6_1098,plain,
( op2(e21,e20) != e21
| op2(e21,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_6_1099,plain,
( op2(e21,e20) != e22
| e21 = e22
| e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_6_1097,refute_6_1098]) ).
cnf(refute_6_1100,plain,
( e21 = e22
| e21 = h2(e11)
| e22 = h2(e11)
| h2(e11) = e22
| op1(e11,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_6_1093,refute_6_1099]) ).
cnf(refute_6_1101,plain,
( h2(e11) != e22
| e22 = h2(e11) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(e22))]]) ).
cnf(refute_6_1102,plain,
( e21 = e22
| e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_6_1100,refute_6_1101]) ).
cnf(refute_6_1103,plain,
( e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_6_1102,refute_6_983]) ).
cnf(refute_6_1104,plain,
( op1(e11,e11) != e12
| op1(e11,e11) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[0],$fot(e12)]]) ).
cnf(refute_6_1105,plain,
( op1(e11,e11) != e13
| e12 = e13
| e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_6_1103,refute_6_1104]) ).
cnf(refute_6_1106,plain,
( e12 = e13
| e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_6_1036,refute_6_1105]) ).
cnf(refute_6_1107,plain,
e12 != e13,
inference(canonicalize,[],[normalize_6_157]) ).
cnf(refute_6_1108,plain,
( e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_6_1106,refute_6_1107]) ).
cnf(refute_6_1109,plain,
( op1(e11,e10) != e11
| op1(e11,e10) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[0],$fot(e12)]]) ).
cnf(refute_6_1110,plain,
( op1(e11,e10) != e11
| e12 = e11
| e21 = h2(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_6_1108,refute_6_1109]) ).
cnf(refute_6_1111,plain,
( e12 = e11
| e21 = h2(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_6_1080,refute_6_1110]) ).
cnf(refute_6_1112,plain,
( e21 = h2(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_6_1111,refute_6_645]) ).
cnf(refute_6_1113,plain,
( e22 = h2(e11)
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_6_1112,refute_6_975]) ).
cnf(refute_6_1114,plain,
( e21 != e21
| e21 = h2(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_1113,refute_6_512]) ).
cnf(refute_6_1115,plain,
( e21 != e21
| e22 = h2(e11)
| h1(e11) = e20
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_6_1114,refute_6_891]) ).
cnf(refute_6_1116,plain,
( e22 = h2(e11)
| h1(e11) = e20
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_378,refute_6_1115]) ).
cnf(refute_6_1117,plain,
( e22 != h2(e11)
| h2(e11) = e22 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e22)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_6_1118,plain,
( h1(e11) = e20
| h1(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(e22,h2(e11)) )],[refute_6_1116,refute_6_1117]) ).
cnf(refute_6_1119,plain,
( h2(e11) != e22
| h2(e11) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[0],$fot(e22)]]) ).
cnf(refute_6_1120,plain,
( h2(e11) != e23
| e22 = e23
| h1(e11) = e20
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_6_1118,refute_6_1119]) ).
cnf(refute_6_1121,plain,
( e22 = e23
| h1(e11) = e20
| h1(e11) = e21
| h2(e10) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_1018,refute_6_1120]) ).
cnf(refute_6_1122,plain,
( h1(e11) = e20
| h1(e11) = e21
| h2(e10) = e21 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_1121,refute_6_413]) ).
cnf(refute_6_1123,plain,
( h2(e10) != e21
| h2(e10) != op2(e21,e22)
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,e22)) ),[0],$fot(e21)]]) ).
cnf(refute_6_1124,plain,
( h2(e10) != op2(e21,e22)
| e21 = op2(e21,e22)
| h1(e11) = e20
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_6_1122,refute_6_1123]) ).
cnf(refute_6_1125,plain,
( e21 = op2(e21,e22)
| h1(e11) = e20
| h1(e11) = e21
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e22)) )],[refute_6_897,refute_6_1124]) ).
cnf(refute_6_1126,plain,
( e21 != h2(e11)
| op2(e20,e21) = e23
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_349,refute_6_466]) ).
cnf(refute_6_1127,plain,
( e21 != h2(e11)
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_6_1126,refute_6_321]) ).
cnf(refute_6_1128,plain,
( e21 != e21
| e22 = h2(e11)
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_6_1114,refute_6_1127]) ).
cnf(refute_6_1129,plain,
( e22 = h2(e11)
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_378,refute_6_1128]) ).
cnf(refute_6_1130,plain,
( e23 != h2(e11)
| e22 = h2(e11)
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_6_1129,refute_6_715]) ).
cnf(refute_6_1131,plain,
( e23 != h2(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_6_1130,refute_6_321]) ).
cnf(refute_6_1132,plain,
( e22 != h2(e11)
| h2(e11) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_6_1133,plain,
( e22 != h2(e11)
| e23 != h2(e11)
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_758,refute_6_1132]) ).
cnf(refute_6_1134,plain,
( e23 != h2(e11)
| e22 = e23 ),
inference(resolve,[$cnf( $equal(e22,h2(e11)) )],[refute_6_1131,refute_6_1133]) ).
cnf(refute_6_1135,plain,
e23 != h2(e11),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_1134,refute_6_413]) ).
cnf(refute_6_1136,plain,
( h2(e11) != e23
| e23 = h2(e11) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(e23))]]) ).
cnf(refute_6_1137,plain,
h2(e11) != e23,
inference(resolve,[$cnf( $equal(e23,h2(e11)) )],[refute_6_1136,refute_6_1135]) ).
cnf(refute_6_1138,plain,
( e21 = op2(e21,e22)
| h1(e11) = e20
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_1125,refute_6_1137]) ).
cnf(refute_6_1139,plain,
( e21 != op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_6_1140,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_6_1138,refute_6_1139]) ).
cnf(refute_6_1141,plain,
( e21 != h3(e11)
| op2(e21,e22) != e21
| op2(e21,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[1],$fot(h3(e11))]]) ).
cnf(refute_6_1142,plain,
( e21 != h3(e11)
| h1(e11) = e20
| h1(e11) = e21
| op2(e21,e22) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_1140,refute_6_1141]) ).
cnf(refute_6_1143,plain,
( e21 != h3(e11)
| h1(e11) = e20
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h3(e11)) )],[refute_6_1142,refute_6_866]) ).
cnf(refute_6_1144,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 ),
inference(canonicalize,[],[normalize_6_158]) ).
cnf(refute_6_1145,plain,
op2(h2(e11),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e11),op2(e21,e21)))]]) ).
cnf(refute_6_1146,plain,
( op2(e21,e21) != h2(e11)
| op2(h2(e11),op2(e21,e21)) != op2(h2(e11),op2(e21,e21))
| op2(h2(e11),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),op2(e21,e21)),op2(h2(e11),op2(e21,e21))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_6_1147,plain,
( op2(e21,e21) != h2(e11)
| op2(h2(e11),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),op2(e21,e21)),op2(h2(e11),op2(e21,e21))) )],[refute_6_1145,refute_6_1146]) ).
cnf(refute_6_1148,plain,
op2(h2(e11),op2(e21,e21)) = op2(h2(e11),h2(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_287,refute_6_1147]) ).
cnf(refute_6_1149,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_6_1150,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e11))]]) ).
cnf(refute_6_1151,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_6_1149,refute_6_1150]) ).
cnf(refute_6_1152,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_287,refute_6_1151]) ).
cnf(refute_6_1153,plain,
( op2(h2(e11),op2(e21,e21)) != op2(h2(e11),h2(e11))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e11),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e11),op2(e21,e21)))),bind(Z,$fot(op2(h2(e11),h2(e11))))]]) ).
cnf(refute_6_1154,plain,
( op2(h2(e11),op2(e21,e21)) != op2(h2(e11),h2(e11))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e11),op2(e21,e21))) )],[refute_6_1152,refute_6_1153]) ).
cnf(refute_6_1155,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),h2(e11)),
inference(resolve,[$cnf( $equal(op2(h2(e11),op2(e21,e21)),op2(h2(e11),h2(e11))) )],[refute_6_1148,refute_6_1154]) ).
cnf(refute_6_1156,plain,
( op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e11),h2(e11))
| op2(h2(e11),h2(e11)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),e21) ),[0],$fot(op2(h2(e11),h2(e11)))]]) ).
cnf(refute_6_1157,plain,
( op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(h2(e11),h2(e11)) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e11),h2(e11))) )],[refute_6_1155,refute_6_1156]) ).
cnf(refute_6_1158,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(h2(e11),h2(e11)) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),e21) )],[refute_6_1144,refute_6_1157]) ).
cnf(refute_6_1159,plain,
op1(e10,e11) != op1(e10,e12),
inference(canonicalize,[],[normalize_6_159]) ).
cnf(refute_6_1160,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_6_160]) ).
cnf(refute_6_1161,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_6_161]) ).
cnf(refute_6_1162,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_6_1163,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) != op2(e20,h4(e11))
| op2(e20,h4(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_6_1164,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_6_1162,refute_6_1163]) ).
cnf(refute_6_1165,plain,
op2(e20,h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_102,refute_6_1164]) ).
cnf(refute_6_1166,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_6_1167,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_1168,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_6_1166,refute_6_1167]) ).
cnf(refute_6_1169,plain,
op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_230,refute_6_1168]) ).
cnf(refute_6_1170,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_6_1171,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_6_1169,refute_6_1170]) ).
cnf(refute_6_1172,plain,
op2(h4(e10),h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_6_1165,refute_6_1171]) ).
cnf(refute_6_1173,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_6_1174,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_6_1172,refute_6_1173]) ).
cnf(refute_6_1175,plain,
h4(op1(e10,e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_6_1161,refute_6_1174]) ).
cnf(refute_6_1176,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(canonicalize,[],[normalize_6_162]) ).
cnf(refute_6_1177,plain,
op1(e10,e11) != op1(e10,e13),
inference(canonicalize,[],[normalize_6_163]) ).
cnf(refute_6_1178,plain,
( op1(e10,e11) != e12
| op1(e10,e13) != e12
| op1(e10,e11) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_6_1179,plain,
( op1(e10,e11) != e12
| op1(e10,e11) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_126,refute_6_1178]) ).
cnf(refute_6_1180,plain,
op1(e10,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_6_1179,refute_6_1177]) ).
cnf(refute_6_1181,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_6_1176,refute_6_1180]) ).
cnf(refute_6_1182,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_6_1181,refute_6_160]) ).
cnf(refute_6_1183,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op1(e10,e11) != e11
| h4(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0,0],$fot(e11)]]) ).
cnf(refute_6_1184,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(e11) = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_6_1182,refute_6_1183]) ).
cnf(refute_6_1185,plain,
( h4(e11) = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_6_1175,refute_6_1184]) ).
cnf(refute_6_1186,plain,
( h4(e11) != e21
| h4(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e20,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_6_1187,plain,
( h4(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_102,refute_6_1186]) ).
cnf(refute_6_1188,plain,
( e21 = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e21)) )],[refute_6_1185,refute_6_1187]) ).
cnf(refute_6_1189,plain,
( e21 != op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_6_1190,plain,
( op1(e10,e11) = e13
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_6_1188,refute_6_1189]) ).
cnf(refute_6_1191,plain,
( e21 != op2(e20,e22)
| op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_6_1192,plain,
( e21 != op2(e20,e22)
| op1(e10,e11) = e13
| op2(e20,e21) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_1190,refute_6_1191]) ).
cnf(refute_6_1193,plain,
( e21 != op2(e20,e22)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_6_1192,refute_6_1160]) ).
cnf(refute_6_1194,plain,
( e20 != op2(e20,e22)
| h1(e11) != e20
| h1(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_6_1195,plain,
( e20 != op2(e20,e22)
| h1(e11) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_81,refute_6_1194]) ).
cnf(refute_6_1196,plain,
( e20 != op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_6_1195,refute_6_669]) ).
cnf(refute_6_1197,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_6_164]) ).
cnf(refute_6_1198,plain,
( op2(e20,e22) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_6_1199,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_238,refute_6_1198]) ).
cnf(refute_6_1200,plain,
op2(e20,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_6_1199,refute_6_1197]) ).
cnf(refute_6_1201,plain,
( h3(e11) != e23
| op2(e20,e22) != e23
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h3(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_6_1202,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = h3(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_6_259,refute_6_1201]) ).
cnf(refute_6_1203,plain,
( op2(e20,e22) != e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_6_1202,refute_6_1200]) ).
cnf(refute_6_1204,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_6_165]) ).
cnf(refute_6_1205,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_6_166]) ).
cnf(refute_6_1206,plain,
( op2(e20,e22) != e22
| op2(e20,e23) != e22
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_6_1207,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_40,refute_6_1206]) ).
cnf(refute_6_1208,plain,
op2(e20,e22) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_6_1207,refute_6_1205]) ).
cnf(refute_6_1209,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_6_1204,refute_6_1208]) ).
cnf(refute_6_1210,plain,
( e23 != e23
| op2(e20,e22) != e23
| op2(e20,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_6_1211,plain,
( e23 != e23
| op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_6_1209,refute_6_1210]) ).
cnf(refute_6_1212,plain,
( e23 != e23
| op2(e20,e22) = e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_6_1211,refute_6_1203]) ).
cnf(refute_6_1213,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_279,refute_6_1212]) ).
cnf(refute_6_1214,plain,
( e20 != e20
| op2(e20,e22) != e20
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_6_1215,plain,
( e20 != e20
| e20 = op2(e20,e22)
| op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_6_1213,refute_6_1214]) ).
cnf(refute_6_1216,plain,
( e20 != e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_6_1215,refute_6_1196]) ).
cnf(refute_6_1217,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_302,refute_6_1216]) ).
cnf(refute_6_1218,plain,
( e21 != e21
| op2(e20,e22) != e21
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_6_1219,plain,
( e21 != e21
| e21 = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_6_1217,refute_6_1218]) ).
cnf(refute_6_1220,plain,
( e21 != e21
| op1(e10,e11) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_6_1219,refute_6_1193]) ).
cnf(refute_6_1221,plain,
( op1(e10,e11) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_378,refute_6_1220]) ).
cnf(refute_6_1222,plain,
( e13 != op1(e10,e12)
| op1(e10,e11) != e13
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_6_1223,plain,
( e13 != op1(e10,e12)
| op1(e10,e11) = op1(e10,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_6_1221,refute_6_1222]) ).
cnf(refute_6_1224,plain,
( e13 != op1(e10,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_6_1223,refute_6_1159]) ).
cnf(refute_6_1225,plain,
( e20 != e20
| h1(e11) != e20
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(e20)]]) ).
cnf(refute_6_1226,plain,
( e20 != e20
| h1(e11) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_81,refute_6_1225]) ).
cnf(refute_6_1227,plain,
( e20 != e20
| op1(e10,e10) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_1226,refute_6_695]) ).
cnf(refute_6_1228,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_302,refute_6_1227]) ).
cnf(refute_6_1229,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) = op1(e10,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_6_1228,refute_6_173]) ).
cnf(refute_6_1230,plain,
( e10 != op1(e10,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_6_1229,refute_6_146]) ).
cnf(refute_6_1231,plain,
( e10 != e10
| e10 = op1(e10,e12)
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_6_185,refute_6_191]) ).
cnf(refute_6_1232,plain,
( e10 != e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e10,op1(e10,e12)) )],[refute_6_1231,refute_6_1230]) ).
cnf(refute_6_1233,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_6_194,refute_6_1232]) ).
cnf(refute_6_1234,plain,
( e13 != e13
| op1(e10,e12) != e13
| e13 = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e10,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_6_1235,plain,
( e13 != e13
| e13 = op1(e10,e12)
| op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_6_1233,refute_6_1234]) ).
cnf(refute_6_1236,plain,
( e13 != e13
| op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e13,op1(e10,e12)) )],[refute_6_1235,refute_6_1224]) ).
cnf(refute_6_1237,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_189,refute_6_1236]) ).
cnf(refute_6_1238,plain,
( op1(e10,e11) != e11
| op1(e10,e12) != e11
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_6_1239,plain,
( op1(e10,e11) != e11
| op1(e10,e11) = op1(e10,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_1237,refute_6_1238]) ).
cnf(refute_6_1240,plain,
( op1(e10,e11) != e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_6_1239,refute_6_1159]) ).
cnf(refute_6_1241,plain,
op1(e11,e10) != op1(e11,e11),
inference(canonicalize,[],[normalize_6_167]) ).
cnf(refute_6_1242,plain,
( op1(e10,e12) != e11
| op1(e11,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_6_1243,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_6_632,refute_6_1242]) ).
cnf(refute_6_1244,plain,
( op1(e10,e12) != e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_6_1243,refute_6_205]) ).
cnf(refute_6_1245,plain,
( e11 != e11
| op1(e10,e12) != e11
| op1(e10,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_6_1246,plain,
( e11 != e11
| op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_1237,refute_6_1245]) ).
cnf(refute_6_1247,plain,
( e11 != e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_1246,refute_6_1244]) ).
cnf(refute_6_1248,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_213,refute_6_1247]) ).
cnf(refute_6_1249,plain,
( e11 != op1(e12,e12)
| op1(e10,e12) != e11
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_6_1250,plain,
( e11 != op1(e12,e12)
| op1(e10,e12) = op1(e12,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_1237,refute_6_1249]) ).
cnf(refute_6_1251,plain,
( e11 != op1(e12,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_6_1250,refute_6_176]) ).
cnf(refute_6_1252,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e11),op1(e12,e11)) = e11 ),
inference(canonicalize,[],[normalize_6_168]) ).
cnf(refute_6_1253,plain,
( op1(op1(e12,e11),op1(e12,e11)) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_6_791,refute_6_1252]) ).
cnf(refute_6_1254,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(canonicalize,[],[normalize_6_169]) ).
cnf(refute_6_1255,plain,
( op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_6_1254,refute_6_1180]) ).
cnf(refute_6_1256,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_6_1257,plain,
( op1(e13,e11) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_6_157,refute_6_1256]) ).
cnf(refute_6_1258,plain,
( e10 = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_6_1255,refute_6_1257]) ).
cnf(refute_6_1259,plain,
( op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_6_1258,refute_6_151]) ).
cnf(refute_6_1260,plain,
( op1(e12,e11) != e12
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e11),e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),op1(e12,e11)),e11) ),[0,1],$fot(e12)]]) ).
cnf(refute_6_1261,plain,
( op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(e11,e11) = e12
| op1(op1(e12,e11),e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_6_1259,refute_6_1260]) ).
cnf(refute_6_1262,plain,
( op1(e11,e11) = e12
| op1(op1(e12,e11),e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),op1(e12,e11)),e11) )],[refute_6_1253,refute_6_1261]) ).
cnf(refute_6_1263,plain,
( op1(e12,e11) != e12
| op1(op1(e12,e11),e12) != e11
| op1(e12,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),e11) ),[0,0],$fot(e12)]]) ).
cnf(refute_6_1264,plain,
( op1(op1(e12,e11),e12) != e11
| op1(e11,e11) = e12
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_6_1259,refute_6_1263]) ).
cnf(refute_6_1265,plain,
( op1(e11,e11) = e12
| op1(e12,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),e11) )],[refute_6_1262,refute_6_1264]) ).
cnf(refute_6_1266,plain,
( e11 != e11
| op1(e12,e12) != e11
| e11 = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_6_1267,plain,
( e11 != e11
| e11 = op1(e12,e12)
| op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_6_1265,refute_6_1266]) ).
cnf(refute_6_1268,plain,
( e11 != e11
| op1(e11,e11) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e11,op1(e12,e12)) )],[refute_6_1267,refute_6_1251]) ).
cnf(refute_6_1269,plain,
( op1(e11,e11) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_213,refute_6_1268]) ).
cnf(refute_6_1270,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e11) ),[0],$fot(e12)]]) ).
cnf(refute_6_1271,plain,
( op1(e11,e11) != e11
| e12 = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_6_1269,refute_6_1270]) ).
cnf(refute_6_1272,plain,
( e12 = e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_6_1248,refute_6_1271]) ).
cnf(refute_6_1273,plain,
( op1(e11,e10) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_6_1272,refute_6_645]) ).
cnf(refute_6_1274,plain,
( e11 != op1(e11,e11)
| op1(e11,e10) != e11
| op1(e11,e10) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[1],$fot(op1(e11,e11))]]) ).
cnf(refute_6_1275,plain,
( e11 != op1(e11,e11)
| op1(e11,e10) = op1(e11,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_6_1273,refute_6_1274]) ).
cnf(refute_6_1276,plain,
( e11 != op1(e11,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e11)) )],[refute_6_1275,refute_6_1241]) ).
cnf(refute_6_1277,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(canonicalize,[],[normalize_6_170]) ).
cnf(refute_6_1278,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_6_171]) ).
cnf(refute_6_1279,plain,
( op1(e13,e11) != e11
| op1(e13,e13) != e11
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_1280,plain,
( op1(e13,e11) != e11
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_6,refute_6_1279]) ).
cnf(refute_6_1281,plain,
op1(e13,e11) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_6_1280,refute_6_1278]) ).
cnf(refute_6_1282,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_6_1277,refute_6_1281]) ).
cnf(refute_6_1283,plain,
( op1(e12,e11) != e11
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(e11,op1(e12,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),op1(e12,e11)),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_6_1284,plain,
( op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e11,op1(e12,e11)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_6_1282,refute_6_1283]) ).
cnf(refute_6_1285,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e11,op1(e12,e11)) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),op1(e12,e11)),e11) )],[refute_6_1253,refute_6_1284]) ).
cnf(refute_6_1286,plain,
( op1(e11,op1(e12,e11)) != e11
| op1(e12,e11) != e11
| op1(e11,e11) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e11)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_6_1287,plain,
( op1(e11,op1(e12,e11)) != e11
| op1(e10,e11) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_6_1282,refute_6_1286]) ).
cnf(refute_6_1288,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),e11) )],[refute_6_1285,refute_6_1287]) ).
cnf(refute_6_1289,plain,
( e11 != e11
| op1(e11,e11) != e11
| e11 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e11,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_6_1290,plain,
( e11 != e11
| e11 = op1(e11,e11)
| op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_6_1288,refute_6_1289]) ).
cnf(refute_6_1291,plain,
( e11 != e11
| op1(e10,e11) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e11)) )],[refute_6_1290,refute_6_1276]) ).
cnf(refute_6_1292,plain,
( e11 != e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_6_1291,refute_6_1240]) ).
cnf(refute_6_1293,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_213,refute_6_1292]) ).
cnf(refute_6_1294,plain,
( ~ definitionFOFtoCNF_3
| op2(h2(e11),h2(e11)) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_6_1293,refute_6_1158]) ).
cnf(refute_6_1295,plain,
( op2(h2(e11),h2(e11)) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_6_610,refute_6_1294]) ).
cnf(refute_6_1296,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(canonicalize,[],[normalize_6_172]) ).
cnf(refute_6_1297,plain,
( op1(e10,e13) != e11
| op1(e10,e13) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[0],$fot(e12)]]) ).
cnf(refute_6_1298,plain,
( op1(e10,e13) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_126,refute_6_1297]) ).
cnf(refute_6_1299,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_6_1296,refute_6_1298]) ).
cnf(refute_6_1300,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_6_1299,refute_6_645]) ).
cnf(refute_6_1301,plain,
( op1(e10,e12) != e10
| op1(e10,e12) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[0],$fot(e11)]]) ).
cnf(refute_6_1302,plain,
( op1(e10,e12) != e10
| e11 = e10
| op1(e10,e10) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_1300,refute_6_1301]) ).
cnf(refute_6_1303,plain,
( e11 = e10
| op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_6_161,refute_6_1302]) ).
cnf(refute_6_1304,plain,
e10 != e11,
inference(canonicalize,[],[normalize_6_173]) ).
cnf(refute_6_1305,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_6_1306,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_6_1305,refute_6_1304]) ).
cnf(refute_6_1307,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_6_1303,refute_6_1306]) ).
cnf(refute_6_1308,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(e11) = op2(e20,e21)
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_6_1307,refute_6_1183]) ).
cnf(refute_6_1309,plain,
( h4(e11) = op2(e20,e21)
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_6_1175,refute_6_1308]) ).
cnf(refute_6_1310,plain,
( e21 = op2(e20,e21)
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e21)) )],[refute_6_1309,refute_6_1187]) ).
cnf(refute_6_1311,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_6_1310,refute_6_1189]) ).
cnf(refute_6_1312,plain,
( e21 != h2(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e11
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_1311,refute_6_466]) ).
cnf(refute_6_1313,plain,
( e21 != h2(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_6_1312,refute_6_321]) ).
cnf(refute_6_1314,plain,
( e21 != e21
| e22 = h2(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_6_1114,refute_6_1313]) ).
cnf(refute_6_1315,plain,
( e22 = h2(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_378,refute_6_1314]) ).
cnf(refute_6_1316,plain,
( op1(e10,e10) != e11
| op1(e10,e10) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[0],$fot(e13)]]) ).
cnf(refute_6_1317,plain,
( op1(e10,e10) != e11
| e13 = e11
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_6_850,refute_6_1316]) ).
cnf(refute_6_1318,plain,
( e13 = e11
| e22 = h2(e11)
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_6_1315,refute_6_1317]) ).
cnf(refute_6_1319,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_6_1320,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_6_1319,refute_6_1079]) ).
cnf(refute_6_1321,plain,
( e22 = h2(e11)
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_6_1318,refute_6_1320]) ).
cnf(refute_6_1322,plain,
( h4(op1(e10,e10)) != h1(e11)
| e22 = h2(e11)
| h4(e10) = h1(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_6_1321,refute_6_857]) ).
cnf(refute_6_1323,plain,
( e22 = h2(e11)
| h4(e10) = h1(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_6_713,refute_6_1322]) ).
cnf(refute_6_1324,plain,
( e20 = h1(e11)
| e22 = h2(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_6_1323,refute_6_861]) ).
cnf(refute_6_1325,plain,
( e20 = h1(e11)
| h2(e11) = e22
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e22,h2(e11)) )],[refute_6_1324,refute_6_1117]) ).
cnf(refute_6_1326,plain,
( h2(e11) != e22
| op2(h2(e11),h2(e11)) != e21
| op2(h2(e11),e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),h2(e11)),e21) ),[0,1],$fot(e22)]]) ).
cnf(refute_6_1327,plain,
( op2(h2(e11),h2(e11)) != e21
| e20 = h1(e11)
| op2(h2(e11),e22) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_6_1325,refute_6_1326]) ).
cnf(refute_6_1328,plain,
( e20 = h1(e11)
| op2(h2(e11),e22) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),h2(e11)),e21) )],[refute_6_1295,refute_6_1327]) ).
cnf(refute_6_1329,plain,
( h2(e11) != e22
| op2(h2(e11),e22) != e21
| op2(e22,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e22),e21) ),[0,0],$fot(e22)]]) ).
cnf(refute_6_1330,plain,
( op2(h2(e11),e22) != e21
| e20 = h1(e11)
| op2(e22,e22) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_6_1325,refute_6_1329]) ).
cnf(refute_6_1331,plain,
( e20 = h1(e11)
| op2(e22,e22) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e22),e21) )],[refute_6_1328,refute_6_1330]) ).
cnf(refute_6_1332,plain,
( e20 = h1(e11)
| h3(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_6_1331,refute_6_543]) ).
cnf(refute_6_1333,plain,
( e21 != e21
| h3(e11) != e21
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_6_1334,plain,
( e21 != e21
| e20 = h1(e11)
| e21 = h3(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_6_1332,refute_6_1333]) ).
cnf(refute_6_1335,plain,
( e21 != e21
| e20 = h1(e11)
| h1(e11) = e20
| h1(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_6_1334,refute_6_1143]) ).
cnf(refute_6_1336,plain,
( e20 = h1(e11)
| h1(e11) = e20
| h1(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_378,refute_6_1335]) ).
cnf(refute_6_1337,plain,
( h1(e11) != e20
| e20 = h1(e11) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(e20))]]) ).
cnf(refute_6_1338,plain,
( e20 = h1(e11)
| h1(e11) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_1336,refute_6_1337]) ).
cnf(refute_6_1339,plain,
( e23 != h1(e11)
| h1(e11) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_6_1340,plain,
( e23 != h1(e11)
| e20 = h1(e11)
| e23 = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_6_1338,refute_6_1339]) ).
cnf(refute_6_1341,plain,
( e20 = h1(e11)
| e23 = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_6_862,refute_6_1340]) ).
cnf(refute_6_1342,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_6_1343,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_1342,refute_6_411]) ).
cnf(refute_6_1344,plain,
( e20 = h1(e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_6_1341,refute_6_1343]) ).
cnf(refute_6_1345,plain,
( e20 != h1(e11)
| h1(e11) = e20 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e20)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_6_1346,plain,
( h1(e11) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_6_1344,refute_6_1345]) ).
cnf(refute_6_1347,plain,
( e20 != e20
| h1(e11) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_1346,refute_6_1225]) ).
cnf(refute_6_1348,plain,
( e20 != e20
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_1347,refute_6_695]) ).
cnf(refute_6_1349,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_302,refute_6_1348]) ).
cnf(refute_6_1350,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_6_174]) ).
cnf(refute_6_1351,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e12)]]) ).
cnf(refute_6_1352,plain,
( op1(e10,e13) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_126,refute_6_1351]) ).
cnf(refute_6_1353,plain,
( e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_6_1350,refute_6_1352]) ).
cnf(refute_6_1354,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_6_1355,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_6,refute_6_1354]) ).
cnf(refute_6_1356,plain,
( e11 = e13
| e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_6_1353,refute_6_1355]) ).
cnf(refute_6_1357,plain,
( e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_6_1356,refute_6_1079]) ).
cnf(refute_6_1358,plain,
( op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_6_1357,refute_6_1107]) ).
cnf(refute_6_1359,plain,
( op1(e12,e13) != e13
| op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(op1(e12,e13),e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_6_1360,plain,
( op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e11,e13) = e13
| op1(op1(e12,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_6_1358,refute_6_1359]) ).
cnf(refute_6_1361,plain,
( op1(e11,e13) = e13
| op1(op1(e12,e13),e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) )],[refute_6_792,refute_6_1360]) ).
cnf(refute_6_1362,plain,
( op1(e12,e13) != e13
| op1(op1(e12,e13),e13) != e13
| op1(e13,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_6_1363,plain,
( op1(op1(e12,e13),e13) != e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_6_1358,refute_6_1362]) ).
cnf(refute_6_1364,plain,
( op1(e11,e13) = e13
| op1(e13,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),e13) )],[refute_6_1361,refute_6_1363]) ).
cnf(refute_6_1365,plain,
( e11 = e13
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_6_1364,refute_6_1355]) ).
cnf(refute_6_1366,plain,
( op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_6_1365,refute_6_1079]) ).
cnf(refute_6_1367,plain,
( e13 != e13
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_6_1366,refute_6_841]) ).
cnf(refute_6_1368,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_6_1367,refute_6_809]) ).
cnf(refute_6_1369,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_189,refute_6_1368]) ).
cnf(refute_6_1370,plain,
( op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e10,op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_6_1369,refute_6_845]) ).
cnf(refute_6_1371,plain,
( op1(e10,op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) )],[refute_6_792,refute_6_1370]) ).
cnf(refute_6_1372,plain,
( op1(e10,op1(e12,e13)) != e13
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_6_1369,refute_6_848]) ).
cnf(refute_6_1373,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e13)),e13) )],[refute_6_1371,refute_6_1372]) ).
cnf(refute_6_1374,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0],$fot(e13)]]) ).
cnf(refute_6_1375,plain,
( op1(e10,e10) != e10
| e13 = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_6_1373,refute_6_1374]) ).
cnf(refute_6_1376,plain,
( e13 = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_6_1349,refute_6_1375]) ).
cnf(refute_6_1377,plain,
e10 != e13,
inference(canonicalize,[],[normalize_6_175]) ).
cnf(refute_6_1378,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_6_1379,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_6_1378,refute_6_1377]) ).
cnf(refute_6_1380,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_6_1376,refute_6_1379]) ).
cnf(refute_6_1381,plain,
op1(op1(e11,e13),op1(e11,e13)) = e13,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_6_1380,refute_6_665]) ).
cnf(refute_6_1382,plain,
( op1(e11,e13) != e10
| op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(e10,op1(e11,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) ),[0,0],$fot(e10)]]) ).
cnf(refute_6_1383,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(e10,op1(e11,e13)) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_6_819,refute_6_1382]) ).
cnf(refute_6_1384,plain,
( op1(e10,op1(e11,e13)) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) )],[refute_6_1381,refute_6_1383]) ).
cnf(refute_6_1385,plain,
( op1(e10,op1(e11,e13)) != e13
| op1(e11,e13) != e10
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e13)),e13) ),[0,1],$fot(e10)]]) ).
cnf(refute_6_1386,plain,
( op1(e10,op1(e11,e13)) != e13
| op1(e10,e10) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_6_819,refute_6_1385]) ).
cnf(refute_6_1387,plain,
( op1(e10,e10) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e13)),e13) )],[refute_6_1384,refute_6_1386]) ).
cnf(refute_6_1388,plain,
op1(e10,e10) != op1(e10,e11),
inference(canonicalize,[],[normalize_6_176]) ).
cnf(refute_6_1389,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_6_177]) ).
cnf(refute_6_1390,plain,
( op1(e12,e11) != e13
| op1(e12,e13) != e13
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_6_1391,plain,
( op1(e12,e11) != e13
| op1(e11,e13) = e13
| op1(e12,e11) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_6_1358,refute_6_1390]) ).
cnf(refute_6_1392,plain,
( op1(e12,e11) != e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_6_1391,refute_6_1389]) ).
cnf(refute_6_1393,plain,
op1(e10,e11) != op1(e12,e11),
inference(canonicalize,[],[normalize_6_178]) ).
cnf(refute_6_1394,plain,
( e11 != op1(e12,e11)
| op1(e10,e11) != e11
| op1(e10,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_6_1395,plain,
( e11 != op1(e12,e11)
| op1(e10,e11) = e13
| op1(e10,e11) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_6_1182,refute_6_1394]) ).
cnf(refute_6_1396,plain,
( e11 != op1(e12,e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e11)) )],[refute_6_1395,refute_6_1393]) ).
cnf(refute_6_1397,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(canonicalize,[],[normalize_6_179]) ).
cnf(refute_6_1398,plain,
op1(e12,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_6_180]) ).
cnf(refute_6_1399,plain,
( op1(e12,e11) != e10
| op1(e13,e11) != e10
| op1(e12,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_6_1400,plain,
( op1(e12,e11) != e10
| op1(e12,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_6_157,refute_6_1399]) ).
cnf(refute_6_1401,plain,
op1(e12,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e13,e11)) )],[refute_6_1400,refute_6_1398]) ).
cnf(refute_6_1402,plain,
( op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_6_1397,refute_6_1401]) ).
cnf(refute_6_1403,plain,
( e11 != e11
| op1(e12,e11) != e11
| e11 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_6_1404,plain,
( e11 != e11
| e11 = op1(e12,e11)
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_6_1402,refute_6_1403]) ).
cnf(refute_6_1405,plain,
( e11 != e11
| op1(e10,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,op1(e12,e11)) )],[refute_6_1404,refute_6_1396]) ).
cnf(refute_6_1406,plain,
( op1(e10,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_213,refute_6_1405]) ).
cnf(refute_6_1407,plain,
( e13 != e13
| op1(e12,e11) != e13
| op1(e12,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_6_1408,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_6_1406,refute_6_1407]) ).
cnf(refute_6_1409,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e13) = e13
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_6_1408,refute_6_1392]) ).
cnf(refute_6_1410,plain,
( op1(e10,e11) = e13
| op1(e11,e13) = e13
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_189,refute_6_1409]) ).
cnf(refute_6_1411,plain,
op1(e11,e11) != op1(e12,e11),
inference(canonicalize,[],[normalize_6_181]) ).
cnf(refute_6_1412,plain,
( op1(e11,e11) != e12
| op1(e12,e11) != e12
| op1(e11,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e12,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_6_1413,plain,
( op1(e11,e11) != e12
| op1(e10,e11) = e13
| op1(e11,e11) = op1(e12,e11)
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_6_1406,refute_6_1412]) ).
cnf(refute_6_1414,plain,
( op1(e11,e11) != e12
| op1(e10,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e12,e11)) )],[refute_6_1413,refute_6_1411]) ).
cnf(refute_6_1415,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_6_182]) ).
cnf(refute_6_1416,plain,
( e11 != op1(e11,e11)
| op1(e10,e11) != e11
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[1],$fot(op1(e11,e11))]]) ).
cnf(refute_6_1417,plain,
( e11 != op1(e11,e11)
| op1(e10,e11) = e13
| op1(e10,e11) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_6_1182,refute_6_1416]) ).
cnf(refute_6_1418,plain,
( e11 != op1(e11,e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_6_1417,refute_6_1415]) ).
cnf(refute_6_1419,plain,
( h4(op1(e11,e11)) != h2(e11)
| h4(e13) = h2(e11)
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_6_1024,refute_6_751]) ).
cnf(refute_6_1420,plain,
( h4(e13) = h2(e11)
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_6_735,refute_6_1419]) ).
cnf(refute_6_1421,plain,
( e23 = h2(e11)
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(e13),h2(e11)) )],[refute_6_1420,refute_6_756]) ).
cnf(refute_6_1422,plain,
( e11 != e11
| e11 = op1(e11,e11)
| e23 = h2(e11)
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_6_1421,refute_6_1289]) ).
cnf(refute_6_1423,plain,
( e11 != e11
| e23 = h2(e11)
| op1(e10,e11) = e13
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e11)) )],[refute_6_1422,refute_6_1418]) ).
cnf(refute_6_1424,plain,
( e23 = h2(e11)
| op1(e10,e11) = e13
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_213,refute_6_1423]) ).
cnf(refute_6_1425,plain,
( e12 != e12
| op1(e11,e11) != e12
| op1(e11,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[1],$fot(e12)]]) ).
cnf(refute_6_1426,plain,
( e12 != e12
| e23 = h2(e11)
| op1(e10,e11) = e13
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_6_1424,refute_6_1425]) ).
cnf(refute_6_1427,plain,
( e12 != e12
| e23 = h2(e11)
| op1(e10,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_6_1426,refute_6_1414]) ).
cnf(refute_6_1428,plain,
( e23 = h2(e11)
| op1(e10,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_6_218,refute_6_1427]) ).
cnf(refute_6_1429,plain,
( op1(e10,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(e23,h2(e11)) )],[refute_6_1428,refute_6_1135]) ).
cnf(refute_6_1430,plain,
( op1(e12,e11) != e12
| op1(e12,e11) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0],$fot(e13)]]) ).
cnf(refute_6_1431,plain,
( op1(e12,e11) != e12
| e13 = e12
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_6_1429,refute_6_1430]) ).
cnf(refute_6_1432,plain,
( e13 = e12
| op1(e10,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_6_1410,refute_6_1431]) ).
cnf(refute_6_1433,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_6_1434,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_6_1433,refute_6_1107]) ).
cnf(refute_6_1435,plain,
( op1(e10,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_6_1432,refute_6_1434]) ).
cnf(refute_6_1436,plain,
( op1(e11,e13) != e13
| op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(e13,op1(e11,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_6_1437,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(e10,e11) = e13
| op1(e13,op1(e11,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_6_1435,refute_6_1436]) ).
cnf(refute_6_1438,plain,
( op1(e10,e11) = e13
| op1(e13,op1(e11,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) )],[refute_6_1381,refute_6_1437]) ).
cnf(refute_6_1439,plain,
( op1(e11,e13) != e13
| op1(e13,op1(e11,e13)) != e13
| op1(e13,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e11,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_6_1440,plain,
( op1(e13,op1(e11,e13)) != e13
| op1(e10,e11) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_6_1435,refute_6_1439]) ).
cnf(refute_6_1441,plain,
( op1(e10,e11) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e11,e13)),e13) )],[refute_6_1438,refute_6_1440]) ).
cnf(refute_6_1442,plain,
( e11 = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_6_1441,refute_6_1355]) ).
cnf(refute_6_1443,plain,
op1(e10,e11) = e13,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_6_1442,refute_6_1079]) ).
cnf(refute_6_1444,plain,
( op1(e10,e10) != e13
| op1(e10,e11) != e13
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_6_1445,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_6_1443,refute_6_1444]) ).
cnf(refute_6_1446,plain,
op1(e10,e10) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_6_1445,refute_6_1388]) ).
cnf(refute_6_1447,plain,
op1(e11,e13) = e13,
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_6_1387,refute_6_1446]) ).
cnf(refute_6_1448,plain,
op1(e13,op1(e11,e13)) = op1(e13,op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e11,e13)))]]) ).
cnf(refute_6_1449,plain,
( op1(e11,e13) != e13
| op1(e13,op1(e11,e13)) != op1(e13,op1(e11,e13))
| op1(e13,op1(e11,e13)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e11,e13)),op1(e13,op1(e11,e13))) ),[1,1],$fot(e13)]]) ).
cnf(refute_6_1450,plain,
( op1(e11,e13) != e13
| op1(e13,op1(e11,e13)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e11,e13)),op1(e13,op1(e11,e13))) )],[refute_6_1448,refute_6_1449]) ).
cnf(refute_6_1451,plain,
op1(e13,op1(e11,e13)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_6_1447,refute_6_1450]) ).
cnf(refute_6_1452,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(op1(e11,e13),op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e11,e13),op1(e11,e13)))]]) ).
cnf(refute_6_1453,plain,
( op1(e11,e13) != e13
| op1(op1(e11,e13),op1(e11,e13)) != op1(op1(e11,e13),op1(e11,e13))
| op1(op1(e11,e13),op1(e11,e13)) = op1(e13,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(op1(e11,e13),op1(e11,e13))) ),[1,0],$fot(e13)]]) ).
cnf(refute_6_1454,plain,
( op1(e11,e13) != e13
| op1(op1(e11,e13),op1(e11,e13)) = op1(e13,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(op1(e11,e13),op1(e11,e13))) )],[refute_6_1452,refute_6_1453]) ).
cnf(refute_6_1455,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(e13,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_6_1447,refute_6_1454]) ).
cnf(refute_6_1456,plain,
( op1(e13,op1(e11,e13)) != op1(e13,e13)
| op1(op1(e11,e13),op1(e11,e13)) != op1(e13,op1(e11,e13))
| op1(op1(e11,e13),op1(e11,e13)) = op1(e13,e13) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op1(op1(e11,e13),op1(e11,e13)))),bind(Y,$fot(op1(e13,op1(e11,e13)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_6_1457,plain,
( op1(e13,op1(e11,e13)) != op1(e13,e13)
| op1(op1(e11,e13),op1(e11,e13)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(e13,op1(e11,e13))) )],[refute_6_1455,refute_6_1456]) ).
cnf(refute_6_1458,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e11,e13)),op1(e13,e13)) )],[refute_6_1451,refute_6_1457]) ).
cnf(refute_6_1459,plain,
( op1(e13,e13) != e11
| op1(op1(e11,e13),op1(e11,e13)) != op1(e13,e13)
| op1(op1(e11,e13),op1(e11,e13)) = e11 ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op1(op1(e11,e13),op1(e11,e13)))),bind(Y,$fot(op1(e13,e13))),bind(Z,$fot(e11))]]) ).
cnf(refute_6_1460,plain,
( op1(e13,e13) != e11
| op1(op1(e11,e13),op1(e11,e13)) = e11 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(e13,e13)) )],[refute_6_1458,refute_6_1459]) ).
cnf(refute_6_1461,plain,
op1(op1(e11,e13),op1(e11,e13)) = e11,
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_6,refute_6_1460]) ).
cnf(refute_6_1462,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e11
| op1(op1(e11,e13),op1(e11,e13)) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) ),[0],$fot(e11)]]) ).
cnf(refute_6_1463,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e11) )],[refute_6_1461,refute_6_1462]) ).
cnf(refute_6_1464,plain,
e11 = e13,
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) )],[refute_6_1381,refute_6_1463]) ).
cnf(refute_6_1465,plain,
( e11 != e13
| e13 = e11 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e11)),bind(Y,$fot(e13))]]) ).
cnf(refute_6_1466,plain,
e13 = e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_6_1464,refute_6_1465]) ).
cnf(refute_6_1467,plain,
op1(e13,e11) = op1(e13,e11),
introduced(tautology,[refl,[$fot(op1(e13,e11))]]) ).
cnf(refute_6_1468,plain,
( e13 != e11
| op1(e13,e11) != op1(e13,e11)
| op1(e13,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),op1(e13,e11)) ),[1,0],$fot(e11)]]) ).
cnf(refute_6_1469,plain,
( e13 != e11
| op1(e13,e11) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e11)) )],[refute_6_1467,refute_6_1468]) ).
cnf(refute_6_1470,plain,
op1(e13,e11) = op1(e11,e11),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_6_1466,refute_6_1469]) ).
cnf(refute_6_1471,plain,
( e10 != op1(e13,e11)
| op1(e13,e11) != op1(e11,e11)
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[0],$fot(op1(e13,e11))]]) ).
cnf(refute_6_1472,plain,
( e10 != op1(e13,e11)
| e10 = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e11,e11)) )],[refute_6_1470,refute_6_1471]) ).
cnf(refute_6_1473,plain,
e10 = op1(e11,e11),
inference(resolve,[$cnf( $equal(e10,op1(e13,e11)) )],[refute_6_13,refute_6_1472]) ).
cnf(refute_6_1474,plain,
( e10 != op1(e11,e11)
| op1(e11,e11) = e10 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e11)))]]) ).
cnf(refute_6_1475,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_6_1473,refute_6_1474]) ).
cnf(refute_6_1476,plain,
op1(e11,e13) = op1(e11,e13),
introduced(tautology,[refl,[$fot(op1(e11,e13))]]) ).
cnf(refute_6_1477,plain,
( e13 != e11
| op1(e11,e13) != op1(e11,e13)
| op1(e11,e13) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),op1(e11,e13)) ),[1,1],$fot(e11)]]) ).
cnf(refute_6_1478,plain,
( e13 != e11
| op1(e11,e13) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e11,e13)) )],[refute_6_1476,refute_6_1477]) ).
cnf(refute_6_1479,plain,
op1(e11,e13) = op1(e11,e11),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_6_1466,refute_6_1478]) ).
cnf(refute_6_1480,plain,
op1(e13,e13) = op1(e13,e13),
introduced(tautology,[refl,[$fot(op1(e13,e13))]]) ).
cnf(refute_6_1481,plain,
( e13 != e11
| op1(e13,e13) != op1(e13,e13)
| op1(e13,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),op1(e13,e13)) ),[1,0],$fot(e11)]]) ).
cnf(refute_6_1482,plain,
( e13 != e11
| op1(e13,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e13,e13)) )],[refute_6_1480,refute_6_1481]) ).
cnf(refute_6_1483,plain,
op1(e13,e13) = op1(e11,e13),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_6_1466,refute_6_1482]) ).
cnf(refute_6_1484,plain,
( op1(e11,e13) != op1(e11,e11)
| op1(e13,e13) != op1(e11,e13)
| op1(e13,e13) = op1(e11,e11) ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op1(e13,e13))),bind(Y,$fot(op1(e11,e13))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_6_1485,plain,
( op1(e11,e13) != op1(e11,e11)
| op1(e13,e13) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e13)) )],[refute_6_1483,refute_6_1484]) ).
cnf(refute_6_1486,plain,
op1(e13,e13) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e11,e11)) )],[refute_6_1479,refute_6_1485]) ).
cnf(refute_6_1487,plain,
( op1(e11,e11) != e10
| op1(e13,e13) != op1(e11,e11)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_6_88:[bind(X,$fot(op1(e13,e13))),bind(Y,$fot(op1(e11,e11))),bind(Z,$fot(e10))]]) ).
cnf(refute_6_1488,plain,
( op1(e11,e11) != e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e11)) )],[refute_6_1486,refute_6_1487]) ).
cnf(refute_6_1489,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_1475,refute_6_1488]) ).
cnf(refute_6_1490,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) != e10
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,e10) ),[0],$fot(op1(e13,e13))]]) ).
cnf(refute_6_1491,plain,
( e11 != op1(e13,e13)
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_6_1489,refute_6_1490]) ).
cnf(refute_6_1492,plain,
e11 = e10,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_6_0,refute_6_1491]) ).
cnf(refute_6_1493,plain,
$false,
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_6_1492,refute_6_1306]) ).
fof(negate_7_0,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 )
& ( 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)) ),
inference(negate,[],[subgoal_7]) ).
fof(normalize_7_0,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_7_1,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_2,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_3,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_7_4,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_7_3]) ).
fof(normalize_7_5,plain,
( ~ definitionFOFtoCNF_51
<=> ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_7_6,plain,
( ( h2(e10) != e22
| ~ definitionFOFtoCNF_51 )
& ( h2(e11) != e22
| ~ definitionFOFtoCNF_51 )
& ( h2(e12) != e22
| ~ definitionFOFtoCNF_51 )
& ( h2(e13) != e22
| ~ definitionFOFtoCNF_51 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_51 ) ),
inference(clausify,[],[normalize_7_5]) ).
fof(normalize_7_7,plain,
( h2(e11) != e22
| ~ definitionFOFtoCNF_51 ),
inference(conjunct,[],[normalize_7_6]) ).
fof(normalize_7_8,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
& 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))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_7_0]) ).
fof(normalize_7_9,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_7_10,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_7_9]) ).
fof(normalize_7_11,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_7_3]) ).
fof(normalize_7_12,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_7_13,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_14,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
& 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))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_7_8,normalize_7_10,normalize_7_11,normalize_7_13]) ).
fof(normalize_7_15,plain,
h4(op1(e11,e13)) != op2(h4(e11),h4(e13)),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_16,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_7_17,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_18,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_19,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_7_20,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_7_19]) ).
fof(normalize_7_21,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,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) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_7_22,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_23,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_7_24,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_7_23]) ).
fof(normalize_7_25,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_26,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(conjunct,[],[normalize_7_23]) ).
fof(normalize_7_27,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_7_23]) ).
fof(normalize_7_28,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_29,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_7_30,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_7_29]) ).
fof(normalize_7_31,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,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) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_7_32,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_33,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_34,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_35,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_36,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(conjunct,[],[normalize_7_29]) ).
fof(normalize_7_37,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_38,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_7_39,plain,
e20 != e23,
inference(conjunct,[],[normalize_7_38]) ).
fof(normalize_7_40,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_41,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_42,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(conjunct,[],[normalize_7_19]) ).
fof(normalize_7_43,plain,
op1(e11,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_44,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_45,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_7_46,plain,
e10 != e13,
inference(conjunct,[],[normalize_7_45]) ).
fof(normalize_7_47,plain,
( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_51 ),
inference(conjunct,[],[normalize_7_6]) ).
fof(normalize_7_48,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_49,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_7_50,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_7_51,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(simplify,[],[normalize_7_49,normalize_7_50]) ).
fof(normalize_7_52,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e22),op2(e21,e22)) = e22 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_7_51]) ).
fof(normalize_7_53,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 ),
inference(conjunct,[],[normalize_7_52]) ).
fof(normalize_7_54,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(conjunct,[],[normalize_7_3]) ).
fof(normalize_7_55,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e21),op2(e20,e21)) = e21
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_7_50]) ).
fof(normalize_7_56,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_7_55]) ).
fof(normalize_7_57,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_58,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_59,plain,
h3(e11) = op2(e22,e22),
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_60,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_7_55]) ).
fof(normalize_7_61,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_62,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_7_29]) ).
fof(normalize_7_63,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_64,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_65,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_66,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_67,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_7_9]) ).
fof(normalize_7_68,plain,
( ( 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(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_7_69,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_7_68]) ).
fof(normalize_7_70,plain,
e20 != e22,
inference(conjunct,[],[normalize_7_38]) ).
fof(normalize_7_71,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_72,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_73,plain,
op1(e10,e11) != op1(e10,e12),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_74,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_75,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(conjunct,[],[normalize_7_19]) ).
fof(normalize_7_76,plain,
op1(e10,e11) != op1(e10,e13),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_77,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_78,plain,
op2(e22,e21) != op2(e22,e23),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_79,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_80,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_7_68]) ).
fof(normalize_7_81,plain,
e21 != e23,
inference(conjunct,[],[normalize_7_38]) ).
fof(normalize_7_82,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_83,plain,
( ( 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(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_7_84,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_7_83]) ).
fof(normalize_7_85,plain,
e11 != e13,
inference(conjunct,[],[normalize_7_45]) ).
fof(normalize_7_86,plain,
e12 != e13,
inference(conjunct,[],[normalize_7_45]) ).
fof(normalize_7_87,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_7_83]) ).
fof(normalize_7_88,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_7_19]) ).
fof(normalize_7_89,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_90,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_91,plain,
e22 != e23,
inference(conjunct,[],[normalize_7_38]) ).
fof(normalize_7_92,plain,
op2(e21,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_93,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_94,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(conjunct,[],[normalize_7_29]) ).
fof(normalize_7_95,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_96,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_7_68]) ).
fof(normalize_7_97,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_98,plain,
op1(e10,e10) != op1(e10,e11),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_99,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_100,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(conjunct,[],[normalize_7_19]) ).
fof(normalize_7_101,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_102,plain,
op2(e20,e20) != op2(e21,e20),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_103,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_7_68]) ).
fof(normalize_7_104,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(conjunct,[],[normalize_7_68]) ).
fof(normalize_7_105,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_106,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_107,plain,
op1(e11,e12) != op1(e11,e13),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_108,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_7_19]) ).
fof(normalize_7_109,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23 ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_7_110,plain,
( ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e22),op2(e22,e22)) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 )
& ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_7_109]) ).
fof(normalize_7_111,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e22),op2(e22,e22)) = e22 ),
inference(conjunct,[],[normalize_7_110]) ).
fof(normalize_7_112,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_7_113,plain,
( definitionFOFtoCNF_3
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_7_112,normalize_7_51,normalize_7_50]) ).
fof(normalize_7_114,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_7_113,normalize_7_109]) ).
fof(normalize_7_115,plain,
( ( op2(op2(e23,e20),op2(e23,e20)) = e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e22
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_7_114]) ).
fof(normalize_7_116,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_7_115]) ).
fof(normalize_7_117,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_7_115]) ).
fof(normalize_7_118,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 ),
inference(conjunct,[],[normalize_7_110]) ).
fof(normalize_7_119,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(conjunct,[],[normalize_7_68]) ).
fof(normalize_7_120,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_121,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_122,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_7_68]) ).
fof(normalize_7_123,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_124,plain,
h2(e12) = op2(op2(e21,op2(e21,e21)),e21),
inference(conjunct,[],[normalize_7_3]) ).
fof(normalize_7_125,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(conjunct,[],[normalize_7_52]) ).
cnf(refute_7_0,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_7_1]) ).
cnf(refute_7_1,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_7_2]) ).
cnf(refute_7_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_7_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_7_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_7_2,refute_7_3]) ).
cnf(refute_7_5,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_7_6,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_7_1,refute_7_5]) ).
cnf(refute_7_7,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_7_8,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_9,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_7_7,refute_7_8]) ).
cnf(refute_7_10,plain,
op2(e23,op2(e23,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_6,refute_7_9]) ).
cnf(refute_7_11,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e21)
| e20 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_7_12,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e21)) )],[refute_7_10,refute_7_11]) ).
cnf(refute_7_13,plain,
e20 = op2(e23,e21),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_7_0,refute_7_12]) ).
cnf(refute_7_14,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_7_4]) ).
cnf(refute_7_15,plain,
( h2(e11) != e22
| ~ definitionFOFtoCNF_51 ),
inference(canonicalize,[],[normalize_7_7]) ).
cnf(refute_7_16,plain,
h4(op1(e11,e13)) != op2(h4(e11),h4(e13)),
inference(canonicalize,[],[normalize_7_15]) ).
cnf(refute_7_17,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_7_17]) ).
cnf(refute_7_18,plain,
op2(e21,h4(e13)) = op2(e21,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_7_19,plain,
( h4(e13) != e23
| op2(e21,h4(e13)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_20,plain,
( h4(e13) != e23
| op2(e21,h4(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_7_18,refute_7_19]) ).
cnf(refute_7_21,plain,
op2(e21,h4(e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_17,refute_7_20]) ).
cnf(refute_7_22,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_7_18]) ).
cnf(refute_7_23,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_7_24,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_6,refute_7_23]) ).
cnf(refute_7_25,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_7_22,refute_7_24]) ).
cnf(refute_7_26,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_7_27,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_28,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) )],[refute_7_26,refute_7_27]) ).
cnf(refute_7_29,plain,
op2(h4(e11),h4(e13)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_7_25,refute_7_28]) ).
cnf(refute_7_30,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_7_31,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_7_4,refute_7_30]) ).
cnf(refute_7_32,plain,
( op2(e21,h4(e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) != op2(e21,h4(e13))
| op2(h4(e11),h4(e13)) = op2(e21,e23) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(e21,h4(e13)))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_7_33,plain,
( op2(e21,h4(e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,h4(e13))) )],[refute_7_29,refute_7_32]) ).
cnf(refute_7_34,plain,
op2(h4(e11),h4(e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e23)) )],[refute_7_21,refute_7_33]) ).
cnf(refute_7_35,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) != op2(e21,e23)
| h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_7_36,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,e23)) )],[refute_7_34,refute_7_35]) ).
cnf(refute_7_37,plain,
h4(op1(e11,e13)) != op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_7_36,refute_7_16]) ).
cnf(refute_7_38,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_7_20]) ).
cnf(refute_7_39,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_7_22]) ).
cnf(refute_7_40,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_7_24]) ).
cnf(refute_7_41,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_7_42,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_7_40,refute_7_41]) ).
cnf(refute_7_43,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_7_44,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_7_42,refute_7_43]) ).
cnf(refute_7_45,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_7_44,refute_7_39]) ).
cnf(refute_7_46,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_7_38,refute_7_45]) ).
cnf(refute_7_47,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_7_25]) ).
cnf(refute_7_48,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(canonicalize,[],[normalize_7_26]) ).
cnf(refute_7_49,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_7_27]) ).
cnf(refute_7_50,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = e10 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).
cnf(refute_7_51,plain,
op1(e13,op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_7_49,refute_7_50]) ).
cnf(refute_7_52,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(op1(e13,op1(e13,e13)),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_7_53,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_7_54,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) )],[refute_7_52,refute_7_53]) ).
cnf(refute_7_55,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_7_51,refute_7_54]) ).
cnf(refute_7_56,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) != op1(e10,e13)
| e12 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e13)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_7_57,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| e12 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(e10,e13)) )],[refute_7_55,refute_7_56]) ).
cnf(refute_7_58,plain,
e12 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),e13)) )],[refute_7_48,refute_7_57]) ).
cnf(refute_7_59,plain,
( e12 != op1(e10,e13)
| op1(e10,e13) = e12 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_7_60,plain,
op1(e10,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_7_58,refute_7_59]) ).
cnf(refute_7_61,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_7_62,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_7_60,refute_7_61]) ).
cnf(refute_7_63,plain,
e12 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_7_62,refute_7_47]) ).
cnf(refute_7_64,plain,
( op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
inference(subst,[],[refute_7_4:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_7_65,plain,
op1(e11,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_7_64,refute_7_63]) ).
cnf(refute_7_66,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_7_46,refute_7_65]) ).
cnf(refute_7_67,plain,
( h4(e10) != op2(e21,e23)
| op1(e11,e13) != e10
| h4(op1(e11,e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0,0],$fot(e10)]]) ).
cnf(refute_7_68,plain,
( h4(e10) != op2(e21,e23)
| h4(op1(e11,e13)) = op2(e21,e23)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_7_66,refute_7_67]) ).
cnf(refute_7_69,plain,
( h4(e10) != op2(e21,e23)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_7_68,refute_7_37]) ).
cnf(refute_7_70,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_7_28]) ).
cnf(refute_7_71,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_7_72,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_7_0,refute_7_71]) ).
cnf(refute_7_73,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_7_74,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_7_72,refute_7_73]) ).
cnf(refute_7_75,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_7_70,refute_7_74]) ).
cnf(refute_7_76,plain,
( e20 != op2(e21,e23)
| h4(e10) != e20
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_7_77,plain,
( e20 != op2(e21,e23)
| h4(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_7_75,refute_7_76]) ).
cnf(refute_7_78,plain,
( e20 != op2(e21,e23)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_7_77,refute_7_69]) ).
cnf(refute_7_79,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_7_30]) ).
cnf(refute_7_80,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_7_32]) ).
cnf(refute_7_81,plain,
( op2(e21,e23) != e21
| op2(e23,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_7_82,plain,
( op2(e21,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_6,refute_7_81]) ).
cnf(refute_7_83,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_7_82,refute_7_80]) ).
cnf(refute_7_84,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_7_79,refute_7_83]) ).
cnf(refute_7_85,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_7_33]) ).
cnf(refute_7_86,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_7_34]) ).
cnf(refute_7_87,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_7_88,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_7_89,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_7_87,refute_7_88]) ).
cnf(refute_7_90,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_7_72,refute_7_89]) ).
cnf(refute_7_91,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_7_92,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_7_90,refute_7_91]) ).
cnf(refute_7_93,plain,
e22 = op2(e20,e23),
inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),e23)) )],[refute_7_86,refute_7_92]) ).
cnf(refute_7_94,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_7_95,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_7_93,refute_7_94]) ).
cnf(refute_7_96,plain,
( e22 != op2(e21,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_7_97,plain,
( e22 != op2(e21,e23)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_7_95,refute_7_96]) ).
cnf(refute_7_98,plain,
e22 != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_7_97,refute_7_85]) ).
cnf(refute_7_99,plain,
( op2(e21,e23) != e22
| e22 = op2(e21,e23) ),
inference(subst,[],[refute_7_4:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_7_100,plain,
op2(e21,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_7_99,refute_7_98]) ).
cnf(refute_7_101,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_7_84,refute_7_100]) ).
cnf(refute_7_102,plain,
( e20 != e20
| op2(e21,e23) != e20
| e20 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e21,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_7_103,plain,
( e20 != e20
| e20 = op2(e21,e23)
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_7_101,refute_7_102]) ).
cnf(refute_7_104,plain,
( e20 != e20
| op1(e11,e13) = e13
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e23)) )],[refute_7_103,refute_7_78]) ).
cnf(refute_7_105,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_7_106,plain,
( op1(e11,e13) = e13
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_7_105,refute_7_104]) ).
cnf(refute_7_107,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_7_35]) ).
cnf(refute_7_108,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_7_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_7_109,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_7_14,refute_7_108]) ).
cnf(refute_7_110,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_7_111,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_109,refute_7_110]) ).
cnf(refute_7_112,plain,
h2(e11) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_7_111,refute_7_107]) ).
cnf(refute_7_113,plain,
( h2(e11) != e23
| op2(e21,e23) != e23
| h2(e11) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_7_114,plain,
( h2(e11) != e23
| h2(e11) = op2(e21,e23)
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_7_101,refute_7_113]) ).
cnf(refute_7_115,plain,
( h2(e11) != e23
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e23)) )],[refute_7_114,refute_7_112]) ).
cnf(refute_7_116,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(canonicalize,[],[normalize_7_36]) ).
cnf(refute_7_117,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e11)
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e11))]]) ).
cnf(refute_7_118,plain,
( op2(e21,e21) != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_109,refute_7_117]) ).
cnf(refute_7_119,plain,
( h2(e11) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_7_116,refute_7_118]) ).
cnf(refute_7_120,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e11)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_7_121,plain,
( op2(e21,e21) != e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_109,refute_7_120]) ).
cnf(refute_7_122,plain,
( h2(e11) = e20
| h2(e11) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_7_119,refute_7_121]) ).
cnf(refute_7_123,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_7_124,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_109,refute_7_123]) ).
cnf(refute_7_125,plain,
( h2(e11) = e20
| h2(e11) = e21
| h2(e11) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_7_122,refute_7_124]) ).
cnf(refute_7_126,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_7_127,plain,
( op2(e21,e21) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_109,refute_7_126]) ).
cnf(refute_7_128,plain,
( h2(e11) = e20
| h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_7_125,refute_7_127]) ).
cnf(refute_7_129,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_7_37]) ).
cnf(refute_7_130,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_7_131,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_109,refute_7_130]) ).
cnf(refute_7_132,plain,
h2(e11) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_7_131,refute_7_129]) ).
cnf(refute_7_133,plain,
( e20 != op2(e23,e21)
| op2(e23,e21) = e20 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_7_134,plain,
op2(e23,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_7_13,refute_7_133]) ).
cnf(refute_7_135,plain,
( h2(e11) != e20
| op2(e23,e21) != e20
| h2(e11) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_7_136,plain,
( h2(e11) != e20
| h2(e11) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_7_134,refute_7_135]) ).
cnf(refute_7_137,plain,
h2(e11) != e20,
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e21)) )],[refute_7_136,refute_7_132]) ).
cnf(refute_7_138,plain,
( h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_7_128,refute_7_137]) ).
cnf(refute_7_139,plain,
( e23 != e23
| h2(e11) != e23
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_7_140,plain,
( e23 != e23
| h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_7_138,refute_7_139]) ).
cnf(refute_7_141,plain,
( e23 != e23
| h2(e11) = e21
| h2(e11) = e22
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_7_140,refute_7_115]) ).
cnf(refute_7_142,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_7_143,plain,
( h2(e11) = e21
| h2(e11) = e22
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_142,refute_7_141]) ).
cnf(refute_7_144,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_7_145,plain,
( op2(e21,e23) != e23
| e20 = e23
| h2(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_7_143,refute_7_144]) ).
cnf(refute_7_146,plain,
( e20 = e23
| h2(e11) = e21
| h2(e11) = e22
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_7_106,refute_7_145]) ).
cnf(refute_7_147,plain,
e20 != e23,
inference(canonicalize,[],[normalize_7_39]) ).
cnf(refute_7_148,plain,
( h2(e11) = e21
| h2(e11) = e22
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_7_146,refute_7_147]) ).
cnf(refute_7_149,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_7_40]) ).
cnf(refute_7_150,plain,
( op1(e11,e11) != e13
| op1(e11,e13) != e13
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_7_151,plain,
( op1(e11,e11) != e13
| op1(e11,e11) = op1(e11,e13)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_7_66,refute_7_150]) ).
cnf(refute_7_152,plain,
( op1(e11,e11) != e13
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_7_151,refute_7_149]) ).
cnf(refute_7_153,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(canonicalize,[],[normalize_7_41]) ).
cnf(refute_7_154,plain,
op2(e21,h4(e11)) = op2(e21,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e11)))]]) ).
cnf(refute_7_155,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) != op2(e21,h4(e11))
| op2(e21,h4(e11)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_156,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) )],[refute_7_154,refute_7_155]) ).
cnf(refute_7_157,plain,
op2(e21,h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_7_25,refute_7_156]) ).
cnf(refute_7_158,plain,
op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_7_159,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_160,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_7_158,refute_7_159]) ).
cnf(refute_7_161,plain,
op2(h4(e11),h4(e11)) = op2(e21,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_7_25,refute_7_160]) ).
cnf(refute_7_162,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) != op2(e21,h4(e11))
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,h4(e11)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_7_163,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,h4(e11))) )],[refute_7_161,refute_7_162]) ).
cnf(refute_7_164,plain,
op2(h4(e11),h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,e21)) )],[refute_7_157,refute_7_163]) ).
cnf(refute_7_165,plain,
( op2(e21,e21) != h2(e11)
| op2(h4(e11),h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_7_166,plain,
( op2(e21,e21) != h2(e11)
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,e21)) )],[refute_7_164,refute_7_165]) ).
cnf(refute_7_167,plain,
op2(h4(e11),h4(e11)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_109,refute_7_166]) ).
cnf(refute_7_168,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) != h2(e11)
| h4(op1(e11,e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_7_169,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_7_167,refute_7_168]) ).
cnf(refute_7_170,plain,
h4(op1(e11,e11)) = h2(e11),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_7_153,refute_7_169]) ).
cnf(refute_7_171,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(canonicalize,[],[normalize_7_42]) ).
cnf(refute_7_172,plain,
op1(e11,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_7_43]) ).
cnf(refute_7_173,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_7_174,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_7_175,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_7_173,refute_7_174]) ).
cnf(refute_7_176,plain,
op1(e13,op1(e13,e13)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_7_42,refute_7_175]) ).
cnf(refute_7_177,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e11)
| e10 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_7_178,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e11)) )],[refute_7_176,refute_7_177]) ).
cnf(refute_7_179,plain,
e10 = op1(e13,e11),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_7_49,refute_7_178]) ).
cnf(refute_7_180,plain,
( e10 != op1(e13,e11)
| op1(e13,e11) = e10 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_7_181,plain,
op1(e13,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e11)) )],[refute_7_179,refute_7_180]) ).
cnf(refute_7_182,plain,
( op1(e11,e11) != e10
| op1(e13,e11) != e10
| op1(e11,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_7_183,plain,
( op1(e11,e11) != e10
| op1(e11,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_7_181,refute_7_182]) ).
cnf(refute_7_184,plain,
op1(e11,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,e11)) )],[refute_7_183,refute_7_172]) ).
cnf(refute_7_185,plain,
( op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_7_171,refute_7_184]) ).
cnf(refute_7_186,plain,
( h4(op1(e11,e11)) != h2(e11)
| op1(e11,e11) != e11
| h4(e11) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e11)]]) ).
cnf(refute_7_187,plain,
( h4(op1(e11,e11)) != h2(e11)
| h4(e11) = h2(e11)
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_7_185,refute_7_186]) ).
cnf(refute_7_188,plain,
( h4(e11) = h2(e11)
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_7_170,refute_7_187]) ).
cnf(refute_7_189,plain,
( h4(e11) != e21
| h4(e11) != h2(e11)
| e21 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h2(e11)) ),[0],$fot(e21)]]) ).
cnf(refute_7_190,plain,
( h4(e11) != h2(e11)
| e21 = h2(e11) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_7_25,refute_7_189]) ).
cnf(refute_7_191,plain,
( e21 = h2(e11)
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e11)) )],[refute_7_188,refute_7_190]) ).
cnf(refute_7_192,plain,
( h4(op1(e11,e11)) != h2(e11)
| op1(e11,e11) != e12
| h4(e12) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e12)]]) ).
cnf(refute_7_193,plain,
( h4(op1(e11,e11)) != h2(e11)
| e21 = h2(e11)
| h4(e12) = h2(e11)
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_7_191,refute_7_192]) ).
cnf(refute_7_194,plain,
( e21 = h2(e11)
| h4(e12) = h2(e11)
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_7_170,refute_7_193]) ).
cnf(refute_7_195,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_7_44]) ).
cnf(refute_7_196,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_7_197,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_7_90,refute_7_196]) ).
cnf(refute_7_198,plain,
op2(op2(e23,op2(e23,e23)),e23) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_7_95,refute_7_197]) ).
cnf(refute_7_199,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_7_200,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),e22) )],[refute_7_198,refute_7_199]) ).
cnf(refute_7_201,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_7_195,refute_7_200]) ).
cnf(refute_7_202,plain,
( h4(e12) != e22
| h4(e12) != h2(e11)
| e22 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h2(e11)) ),[0],$fot(e22)]]) ).
cnf(refute_7_203,plain,
( h4(e12) != h2(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_7_201,refute_7_202]) ).
cnf(refute_7_204,plain,
( e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(e12),h2(e11)) )],[refute_7_194,refute_7_203]) ).
cnf(refute_7_205,plain,
( e13 != e13
| op1(e11,e11) != e13
| op1(e11,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_7_206,plain,
( e13 != e13
| e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_7_204,refute_7_205]) ).
cnf(refute_7_207,plain,
( e13 != e13
| e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_7_206,refute_7_152]) ).
cnf(refute_7_208,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_7_209,plain,
( e21 = h2(e11)
| e22 = h2(e11)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_7_208,refute_7_207]) ).
cnf(refute_7_210,plain,
( op1(e11,e13) != e10
| op1(e11,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_7_211,plain,
( op1(e11,e13) != e13
| e10 = e13
| e21 = h2(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_7_209,refute_7_210]) ).
cnf(refute_7_212,plain,
( e10 = e13
| e21 = h2(e11)
| e22 = h2(e11)
| h2(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_7_148,refute_7_211]) ).
cnf(refute_7_213,plain,
( h2(e11) != e21
| e21 = h2(e11) ),
inference(subst,[],[refute_7_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(e21))]]) ).
cnf(refute_7_214,plain,
( e10 = e13
| e21 = h2(e11)
| e22 = h2(e11)
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_7_212,refute_7_213]) ).
cnf(refute_7_215,plain,
( h2(e11) != e22
| e22 = h2(e11) ),
inference(subst,[],[refute_7_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(e22))]]) ).
cnf(refute_7_216,plain,
( e10 = e13
| e21 = h2(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_7_214,refute_7_215]) ).
cnf(refute_7_217,plain,
e10 != e13,
inference(canonicalize,[],[normalize_7_46]) ).
cnf(refute_7_218,plain,
( e21 = h2(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_7_216,refute_7_217]) ).
cnf(refute_7_219,plain,
( e22 != h2(e11)
| h2(e11) = e22 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e22)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_7_220,plain,
( e21 = h2(e11)
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(e22,h2(e11)) )],[refute_7_218,refute_7_219]) ).
cnf(refute_7_221,plain,
( e22 != e22
| h2(e11) != e22
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[1],$fot(e22)]]) ).
cnf(refute_7_222,plain,
( e22 != e22
| e21 = h2(e11)
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_7_220,refute_7_221]) ).
cnf(refute_7_223,plain,
( e22 != e22
| ~ definitionFOFtoCNF_51
| e21 = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_7_222,refute_7_15]) ).
cnf(refute_7_224,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_7_225,plain,
( ~ definitionFOFtoCNF_51
| e21 = h2(e11) ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_7_224,refute_7_223]) ).
cnf(refute_7_226,plain,
( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_51 ),
inference(canonicalize,[],[normalize_7_47]) ).
cnf(refute_7_227,plain,
h2(e13) = e21,
inference(canonicalize,[],[normalize_7_11]) ).
cnf(refute_7_228,plain,
( h2(e13) != e21
| h2(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_7_229,plain,
( h2(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_7_227,refute_7_228]) ).
cnf(refute_7_230,plain,
( e21 = e22
| h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| definitionFOFtoCNF_51 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_7_226,refute_7_229]) ).
cnf(refute_7_231,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_7_48]) ).
cnf(refute_7_232,plain,
( e22 != op2(e23,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_7_233,plain,
( e22 != op2(e23,e23)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_7_95,refute_7_232]) ).
cnf(refute_7_234,plain,
( e22 != e21
| op2(e23,e23) != e21
| e22 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_7_235,plain,
( e22 != e21
| e22 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_6,refute_7_234]) ).
cnf(refute_7_236,plain,
( e22 != e21
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_7_235,refute_7_233]) ).
cnf(refute_7_237,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_7_236,refute_7_231]) ).
cnf(refute_7_238,plain,
( e21 != e22
| e22 = e21 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e21)),bind(Y,$fot(e22))]]) ).
cnf(refute_7_239,plain,
e21 != e22,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_7_238,refute_7_237]) ).
cnf(refute_7_240,plain,
( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| definitionFOFtoCNF_51 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_7_230,refute_7_239]) ).
cnf(refute_7_241,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 ),
inference(canonicalize,[],[normalize_7_53]) ).
cnf(refute_7_242,plain,
op2(h2(e11),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e11),op2(e21,e21)))]]) ).
cnf(refute_7_243,plain,
( op2(e21,e21) != h2(e11)
| op2(h2(e11),op2(e21,e21)) != op2(h2(e11),op2(e21,e21))
| op2(h2(e11),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),op2(e21,e21)),op2(h2(e11),op2(e21,e21))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_7_244,plain,
( op2(e21,e21) != h2(e11)
| op2(h2(e11),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),op2(e21,e21)),op2(h2(e11),op2(e21,e21))) )],[refute_7_242,refute_7_243]) ).
cnf(refute_7_245,plain,
op2(h2(e11),op2(e21,e21)) = op2(h2(e11),h2(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_109,refute_7_244]) ).
cnf(refute_7_246,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_7_247,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e11))]]) ).
cnf(refute_7_248,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_7_246,refute_7_247]) ).
cnf(refute_7_249,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_109,refute_7_248]) ).
cnf(refute_7_250,plain,
( op2(h2(e11),op2(e21,e21)) != op2(h2(e11),h2(e11))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e11),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e11),op2(e21,e21)))),bind(Z,$fot(op2(h2(e11),h2(e11))))]]) ).
cnf(refute_7_251,plain,
( op2(h2(e11),op2(e21,e21)) != op2(h2(e11),h2(e11))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e11),op2(e21,e21))) )],[refute_7_249,refute_7_250]) ).
cnf(refute_7_252,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),h2(e11)),
inference(resolve,[$cnf( $equal(op2(h2(e11),op2(e21,e21)),op2(h2(e11),h2(e11))) )],[refute_7_245,refute_7_251]) ).
cnf(refute_7_253,plain,
( op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e11),h2(e11))
| op2(h2(e11),h2(e11)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),e21) ),[0],$fot(op2(h2(e11),h2(e11)))]]) ).
cnf(refute_7_254,plain,
( op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(h2(e11),h2(e11)) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e11),h2(e11))) )],[refute_7_252,refute_7_253]) ).
cnf(refute_7_255,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(h2(e11),h2(e11)) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),e21) )],[refute_7_241,refute_7_254]) ).
cnf(refute_7_256,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(canonicalize,[],[normalize_7_54]) ).
cnf(refute_7_257,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_7_258,plain,
( op2(e21,e21) != h2(e11)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_7_259,plain,
( op2(e21,e21) != h2(e11)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_7_257,refute_7_258]) ).
cnf(refute_7_260,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_109,refute_7_259]) ).
cnf(refute_7_261,plain,
( h2(e10) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) != op2(e21,h2(e11))
| h2(e10) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e21,h2(e11))) ),[0],$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_7_262,plain,
( h2(e10) != op2(e21,op2(e21,e21))
| h2(e10) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e11))) )],[refute_7_260,refute_7_261]) ).
cnf(refute_7_263,plain,
h2(e10) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,op2(e21,e21))) )],[refute_7_256,refute_7_262]) ).
cnf(refute_7_264,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_7_56]) ).
cnf(refute_7_265,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_7_57]) ).
cnf(refute_7_266,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_7_58]) ).
cnf(refute_7_267,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = h3(e10) ),
inference(subst,[],[refute_7_4:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_7_268,plain,
op2(e22,op2(e22,e22)) = h3(e10),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_7_266,refute_7_267]) ).
cnf(refute_7_269,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_7_270,plain,
( op2(e22,op2(e22,e22)) != h3(e10)
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(h3(e10))]]) ).
cnf(refute_7_271,plain,
( op2(e22,op2(e22,e22)) != h3(e10)
| op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_7_269,refute_7_270]) ).
cnf(refute_7_272,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),h3(e10)) )],[refute_7_268,refute_7_271]) ).
cnf(refute_7_273,plain,
( h3(e12) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != op2(h3(e10),e22)
| h3(e12) = op2(h3(e10),e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(h3(e10),e22)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_7_274,plain,
( h3(e12) != op2(op2(e22,op2(e22,e22)),e22)
| h3(e12) = op2(h3(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(h3(e10),e22)) )],[refute_7_272,refute_7_273]) ).
cnf(refute_7_275,plain,
h3(e12) = op2(h3(e10),e22),
inference(resolve,[$cnf( $equal(h3(e12),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_7_265,refute_7_274]) ).
cnf(refute_7_276,plain,
h3(e11) = op2(e22,e22),
inference(canonicalize,[],[normalize_7_59]) ).
cnf(refute_7_277,plain,
( h3(e11) != op2(e22,e22)
| op2(e22,e22) = h3(e11) ),
inference(subst,[],[refute_7_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_7_278,plain,
op2(e22,e22) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_7_276,refute_7_277]) ).
cnf(refute_7_279,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_7_280,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_7_281,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_7_279,refute_7_280]) ).
cnf(refute_7_282,plain,
op2(e22,op2(e22,e22)) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_7_278,refute_7_281]) ).
cnf(refute_7_283,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) != op2(e22,h3(e11))
| h3(e10) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),op2(e22,h3(e11))) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_7_284,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| h3(e10) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h3(e11))) )],[refute_7_282,refute_7_283]) ).
cnf(refute_7_285,plain,
h3(e10) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_7_266,refute_7_284]) ).
cnf(refute_7_286,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_7_60]) ).
cnf(refute_7_287,plain,
op2(e22,op2(e20,e23)) = op2(e22,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e20,e23)))]]) ).
cnf(refute_7_288,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_7_289,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_7_287,refute_7_288]) ).
cnf(refute_7_290,plain,
op2(e22,op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_7_95,refute_7_289]) ).
cnf(refute_7_291,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(op2(e20,e23),op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),op2(e20,e23)))]]) ).
cnf(refute_7_292,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) != op2(op2(e20,e23),op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) ),[1,0],$fot(e22)]]) ).
cnf(refute_7_293,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) )],[refute_7_291,refute_7_292]) ).
cnf(refute_7_294,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_7_95,refute_7_293]) ).
cnf(refute_7_295,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,op2(e20,e23)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_7_296,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_7_294,refute_7_295]) ).
cnf(refute_7_297,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,e22)) )],[refute_7_290,refute_7_296]) ).
cnf(refute_7_298,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_7_299,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,e22)) )],[refute_7_297,refute_7_298]) ).
cnf(refute_7_300,plain,
op2(op2(e20,e23),op2(e20,e23)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_7_278,refute_7_299]) ).
cnf(refute_7_301,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| op2(op2(e20,e23),op2(e20,e23)) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_7_302,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),h3(e11)) )],[refute_7_300,refute_7_301]) ).
cnf(refute_7_303,plain,
( h3(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) )],[refute_7_286,refute_7_302]) ).
cnf(refute_7_304,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e11) != e23
| h3(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_305,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e10) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_7_303,refute_7_304]) ).
cnf(refute_7_306,plain,
( h3(e10) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) )],[refute_7_285,refute_7_305]) ).
cnf(refute_7_307,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_7_61]) ).
cnf(refute_7_308,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_7_309,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_7_278,refute_7_308]) ).
cnf(refute_7_310,plain,
h3(e11) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_7_309,refute_7_307]) ).
cnf(refute_7_311,plain,
( e23 != op2(e22,e23)
| h3(e11) != e23
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_7_312,plain,
( e23 != op2(e22,e23)
| h3(e11) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_7_303,refute_7_311]) ).
cnf(refute_7_313,plain,
( e23 != op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_7_312,refute_7_310]) ).
cnf(refute_7_314,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_7_62]) ).
cnf(refute_7_315,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_7_63]) ).
cnf(refute_7_316,plain,
( op2(e22,e23) != e21
| op2(e23,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_7_317,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_6,refute_7_316]) ).
cnf(refute_7_318,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_7_317,refute_7_315]) ).
cnf(refute_7_319,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_7_314,refute_7_318]) ).
cnf(refute_7_320,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_7_64]) ).
cnf(refute_7_321,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_7_322,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_7_95,refute_7_321]) ).
cnf(refute_7_323,plain,
e22 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_7_322,refute_7_320]) ).
cnf(refute_7_324,plain,
( op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
inference(subst,[],[refute_7_4:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_7_325,plain,
op2(e22,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_7_324,refute_7_323]) ).
cnf(refute_7_326,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_7_319,refute_7_325]) ).
cnf(refute_7_327,plain,
( e23 != e23
| op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_7_328,plain,
( e23 != e23
| e23 = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_7_326,refute_7_327]) ).
cnf(refute_7_329,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_7_328,refute_7_313]) ).
cnf(refute_7_330,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_142,refute_7_329]) ).
cnf(refute_7_331,plain,
( h3(e10) != op2(e22,e23)
| op2(e22,e23) != e20
| h3(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),e20) ),[0],$fot(op2(e22,e23))]]) ).
cnf(refute_7_332,plain,
( h3(e10) != op2(e22,e23)
| h3(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_7_330,refute_7_331]) ).
cnf(refute_7_333,plain,
( h3(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e23)) )],[refute_7_306,refute_7_332]) ).
cnf(refute_7_334,plain,
( h3(e10) != e20
| h3(e12) != op2(h3(e10),e22)
| h3(e12) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e12),op2(h3(e10),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_7_335,plain,
( h3(e12) != op2(h3(e10),e22)
| h3(e12) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_7_333,refute_7_334]) ).
cnf(refute_7_336,plain,
( h3(e12) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(h3(e10),e22)) )],[refute_7_275,refute_7_335]) ).
cnf(refute_7_337,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) = h3(e12) ),
inference(subst,[],[refute_7_4:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_7_338,plain,
( op2(e20,e22) = h3(e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_7_336,refute_7_337]) ).
cnf(refute_7_339,plain,
( op2(e20,e22) != h3(e12)
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e22),h3(e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) ),[0,1],$fot(h3(e12))]]) ).
cnf(refute_7_340,plain,
( op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e22),h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e12)) )],[refute_7_338,refute_7_339]) ).
cnf(refute_7_341,plain,
( op2(op2(e20,e22),h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) )],[refute_7_264,refute_7_340]) ).
cnf(refute_7_342,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_7_65]) ).
cnf(refute_7_343,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_7_344,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) != op2(e20,h4(e12))
| op2(e20,h4(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_7_345,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_7_343,refute_7_344]) ).
cnf(refute_7_346,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_7_201,refute_7_345]) ).
cnf(refute_7_347,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_7_348,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_7_349,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_7_347,refute_7_348]) ).
cnf(refute_7_350,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_7_75,refute_7_349]) ).
cnf(refute_7_351,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_7_352,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_7_350,refute_7_351]) ).
cnf(refute_7_353,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_7_346,refute_7_352]) ).
cnf(refute_7_354,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_7_355,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_7_353,refute_7_354]) ).
cnf(refute_7_356,plain,
h4(op1(e10,e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_7_342,refute_7_355]) ).
cnf(refute_7_357,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_7_66]) ).
cnf(refute_7_358,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_7_67]) ).
cnf(refute_7_359,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_7_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_7_360,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_7_358,refute_7_359]) ).
cnf(refute_7_361,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_7_362,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_7_360,refute_7_361]) ).
cnf(refute_7_363,plain,
h1(e11) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_7_362,refute_7_357]) ).
cnf(refute_7_364,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_7_69]) ).
cnf(refute_7_365,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_7_366,plain,
( op2(e20,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_7_360,refute_7_365]) ).
cnf(refute_7_367,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_7_364,refute_7_366]) ).
cnf(refute_7_368,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_7_369,plain,
( op2(e20,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_7_95,refute_7_368]) ).
cnf(refute_7_370,plain,
( e22 = e20
| h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_7_367,refute_7_369]) ).
cnf(refute_7_371,plain,
e20 != e22,
inference(canonicalize,[],[normalize_7_70]) ).
cnf(refute_7_372,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_7_373,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_7_372,refute_7_371]) ).
cnf(refute_7_374,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_7_370,refute_7_373]) ).
cnf(refute_7_375,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_7_71]) ).
cnf(refute_7_376,plain,
( op2(e20,e21) != e20
| op2(e23,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_7_377,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_7_134,refute_7_376]) ).
cnf(refute_7_378,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_7_377,refute_7_375]) ).
cnf(refute_7_379,plain,
( h1(e11) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_7_374,refute_7_378]) ).
cnf(refute_7_380,plain,
( op2(e20,e22) != e20
| op2(op2(e20,e22),h3(e12)) != e22
| op2(e20,h3(e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) ),[0,0],$fot(e20)]]) ).
cnf(refute_7_381,plain,
( op2(op2(e20,e22),h3(e12)) != e22
| h1(e11) = e20
| op2(e20,h3(e12)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_7_379,refute_7_380]) ).
cnf(refute_7_382,plain,
( h1(e11) = e20
| op2(e20,h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) )],[refute_7_341,refute_7_381]) ).
cnf(refute_7_383,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) != e20
| h3(e12) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),e20) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_7_384,plain,
( h3(e12) != op2(e20,e22)
| h1(e11) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_7_379,refute_7_383]) ).
cnf(refute_7_385,plain,
( h1(e11) = e20
| h3(e12) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_7_336,refute_7_384]) ).
cnf(refute_7_386,plain,
( h3(e12) != e20
| op2(e20,h3(e12)) != e22
| op2(e20,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e12)),e22) ),[0,1],$fot(e20)]]) ).
cnf(refute_7_387,plain,
( op2(e20,h3(e12)) != e22
| h1(e11) = e20
| op2(e20,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),e20) )],[refute_7_385,refute_7_386]) ).
cnf(refute_7_388,plain,
( h1(e11) = e20
| op2(e20,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e12)),e22) )],[refute_7_382,refute_7_387]) ).
cnf(refute_7_389,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_7_390,plain,
( op2(e20,e20) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_7_360,refute_7_389]) ).
cnf(refute_7_391,plain,
( h1(e11) = e20
| h1(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_7_388,refute_7_390]) ).
cnf(refute_7_392,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_7_72]) ).
cnf(refute_7_393,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_7_394,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_7_360,refute_7_393]) ).
cnf(refute_7_395,plain,
( h1(e11) != e22
| op2(e20,e23) != e22
| h1(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_7_396,plain,
( h1(e11) != e22
| h1(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_7_95,refute_7_395]) ).
cnf(refute_7_397,plain,
( h1(e11) != e22
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e23)) )],[refute_7_396,refute_7_394]) ).
cnf(refute_7_398,plain,
h1(e11) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_7_397,refute_7_392]) ).
cnf(refute_7_399,plain,
( h1(e11) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_7_391,refute_7_398]) ).
cnf(refute_7_400,plain,
( e20 != op2(e20,e22)
| h1(e11) != e20
| h1(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_7_401,plain,
( e20 != op2(e20,e22)
| h1(e11) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_7_399,refute_7_400]) ).
cnf(refute_7_402,plain,
( e20 != op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_7_401,refute_7_363]) ).
cnf(refute_7_403,plain,
op1(e10,e11) != op1(e10,e12),
inference(canonicalize,[],[normalize_7_73]) ).
cnf(refute_7_404,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_7_74]) ).
cnf(refute_7_405,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_7_406,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) != op2(e20,h4(e11))
| op2(e20,h4(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_407,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_7_405,refute_7_406]) ).
cnf(refute_7_408,plain,
op2(e20,h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_7_25,refute_7_407]) ).
cnf(refute_7_409,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_7_410,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_7_411,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_7_409,refute_7_410]) ).
cnf(refute_7_412,plain,
op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_7_75,refute_7_411]) ).
cnf(refute_7_413,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_7_414,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_7_412,refute_7_413]) ).
cnf(refute_7_415,plain,
op2(h4(e10),h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_7_408,refute_7_414]) ).
cnf(refute_7_416,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_7_417,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_7_415,refute_7_416]) ).
cnf(refute_7_418,plain,
h4(op1(e10,e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_7_404,refute_7_417]) ).
cnf(refute_7_419,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(canonicalize,[],[normalize_7_75]) ).
cnf(refute_7_420,plain,
op1(e10,e11) != op1(e10,e13),
inference(canonicalize,[],[normalize_7_76]) ).
cnf(refute_7_421,plain,
( op1(e10,e11) != e12
| op1(e10,e13) != e12
| op1(e10,e11) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_7_422,plain,
( op1(e10,e11) != e12
| op1(e10,e11) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_7_60,refute_7_421]) ).
cnf(refute_7_423,plain,
op1(e10,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_7_422,refute_7_420]) ).
cnf(refute_7_424,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_7_419,refute_7_423]) ).
cnf(refute_7_425,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_7_77]) ).
cnf(refute_7_426,plain,
( op1(e10,e11) != e10
| op1(e13,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_7_427,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_7_181,refute_7_426]) ).
cnf(refute_7_428,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_7_427,refute_7_425]) ).
cnf(refute_7_429,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_7_424,refute_7_428]) ).
cnf(refute_7_430,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op1(e10,e11) != e11
| h4(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0,0],$fot(e11)]]) ).
cnf(refute_7_431,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(e11) = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_7_429,refute_7_430]) ).
cnf(refute_7_432,plain,
( h4(e11) = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_7_418,refute_7_431]) ).
cnf(refute_7_433,plain,
( h4(e11) != e21
| h4(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e20,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_7_434,plain,
( h4(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_7_25,refute_7_433]) ).
cnf(refute_7_435,plain,
( e21 = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e21)) )],[refute_7_432,refute_7_434]) ).
cnf(refute_7_436,plain,
op2(e22,e21) != op2(e22,e23),
inference(canonicalize,[],[normalize_7_78]) ).
cnf(refute_7_437,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_7_79]) ).
cnf(refute_7_438,plain,
( op2(e21,e23) != e20
| op2(e22,e23) != e20
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_7_439,plain,
( op2(e21,e23) != e20
| op2(e21,e23) = op2(e22,e23)
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_7_326,refute_7_438]) ).
cnf(refute_7_440,plain,
( op2(e21,e23) != e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_7_439,refute_7_437]) ).
cnf(refute_7_441,plain,
( h4(e13) != op2(e21,e23)
| op1(e11,e13) != e13
| h4(op1(e11,e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0,0],$fot(e13)]]) ).
cnf(refute_7_442,plain,
( h4(e13) != op2(e21,e23)
| h4(op1(e11,e13)) = op2(e21,e23)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_7_66,refute_7_441]) ).
cnf(refute_7_443,plain,
( h4(e13) != op2(e21,e23)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_7_442,refute_7_37]) ).
cnf(refute_7_444,plain,
( e23 != op2(e21,e23)
| h4(e13) != e23
| h4(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_7_445,plain,
( e23 != op2(e21,e23)
| h4(e13) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_17,refute_7_444]) ).
cnf(refute_7_446,plain,
( e23 != op2(e21,e23)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,e23)) )],[refute_7_445,refute_7_443]) ).
cnf(refute_7_447,plain,
( e23 != e23
| op2(e21,e23) != e23
| e23 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_7_448,plain,
( e23 != e23
| e23 = op2(e21,e23)
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_7_101,refute_7_447]) ).
cnf(refute_7_449,plain,
( e23 != e23
| op1(e11,e13) = e10
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e23)) )],[refute_7_448,refute_7_446]) ).
cnf(refute_7_450,plain,
( op1(e11,e13) = e10
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_142,refute_7_449]) ).
cnf(refute_7_451,plain,
( e20 != e20
| op2(e21,e23) != e20
| op2(e21,e23) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[1],$fot(e20)]]) ).
cnf(refute_7_452,plain,
( e20 != e20
| op1(e11,e13) = e10
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_7_450,refute_7_451]) ).
cnf(refute_7_453,plain,
( e20 != e20
| op1(e11,e13) = e10
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_7_452,refute_7_440]) ).
cnf(refute_7_454,plain,
( op1(e11,e13) = e10
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_7_105,refute_7_453]) ).
cnf(refute_7_455,plain,
( op2(e22,e21) != e23
| op2(e22,e23) != e23
| op2(e22,e21) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_7_456,plain,
( op2(e22,e21) != e23
| op1(e11,e13) = e10
| op2(e22,e21) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_7_454,refute_7_455]) ).
cnf(refute_7_457,plain,
( op2(e22,e21) != e23
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e23)) )],[refute_7_456,refute_7_436]) ).
cnf(refute_7_458,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_7_80]) ).
cnf(refute_7_459,plain,
( h2(e11) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_7_458,refute_7_127]) ).
cnf(refute_7_460,plain,
( op2(e23,e21) != e20
| op2(e23,e21) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e20)]]) ).
cnf(refute_7_461,plain,
( op2(e23,e21) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_7_134,refute_7_460]) ).
cnf(refute_7_462,plain,
( e20 = e23
| h2(e11) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_7_459,refute_7_461]) ).
cnf(refute_7_463,plain,
( h2(e11) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_7_462,refute_7_147]) ).
cnf(refute_7_464,plain,
( e23 != e23
| op2(e22,e21) != e23
| op2(e22,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_7_465,plain,
( e23 != e23
| h2(e11) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_7_463,refute_7_464]) ).
cnf(refute_7_466,plain,
( e23 != e23
| h2(e11) = e23
| op1(e11,e13) = e10
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_7_465,refute_7_457]) ).
cnf(refute_7_467,plain,
( h2(e11) = e23
| op1(e11,e13) = e10
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_142,refute_7_466]) ).
cnf(refute_7_468,plain,
( e21 != op2(e20,e21)
| op2(e20,e21) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e23) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_7_469,plain,
( e21 != op2(e20,e21)
| e21 = e23
| h2(e11) = e23
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_7_467,refute_7_468]) ).
cnf(refute_7_470,plain,
( e21 = e23
| h2(e11) = e23
| op1(e10,e11) = e13
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_7_435,refute_7_469]) ).
cnf(refute_7_471,plain,
e21 != e23,
inference(canonicalize,[],[normalize_7_81]) ).
cnf(refute_7_472,plain,
( h2(e11) = e23
| op1(e10,e11) = e13
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_7_470,refute_7_471]) ).
cnf(refute_7_473,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_7_82]) ).
cnf(refute_7_474,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_7_84]) ).
cnf(refute_7_475,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e12)]]) ).
cnf(refute_7_476,plain,
( op1(e10,e13) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_7_60,refute_7_475]) ).
cnf(refute_7_477,plain,
( e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_7_474,refute_7_476]) ).
cnf(refute_7_478,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_7_479,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_7_42,refute_7_478]) ).
cnf(refute_7_480,plain,
( e11 = e13
| e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_7_477,refute_7_479]) ).
cnf(refute_7_481,plain,
e11 != e13,
inference(canonicalize,[],[normalize_7_85]) ).
cnf(refute_7_482,plain,
( e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_7_480,refute_7_481]) ).
cnf(refute_7_483,plain,
e12 != e13,
inference(canonicalize,[],[normalize_7_86]) ).
cnf(refute_7_484,plain,
( op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_7_482,refute_7_483]) ).
cnf(refute_7_485,plain,
( op1(e12,e11) != e13
| op1(e12,e13) != e13
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_7_486,plain,
( op1(e12,e11) != e13
| op1(e11,e13) = e13
| op1(e12,e11) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_7_484,refute_7_485]) ).
cnf(refute_7_487,plain,
( op1(e12,e11) != e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_7_486,refute_7_473]) ).
cnf(refute_7_488,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_7_87]) ).
cnf(refute_7_489,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).
cnf(refute_7_490,plain,
( op1(e13,e11) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_7_181,refute_7_489]) ).
cnf(refute_7_491,plain,
( e10 = e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_7_488,refute_7_490]) ).
cnf(refute_7_492,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_7_491,refute_7_217]) ).
cnf(refute_7_493,plain,
( e13 != e13
| op1(e12,e11) != e13
| op1(e12,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_7_494,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_7_492,refute_7_493]) ).
cnf(refute_7_495,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_7_494,refute_7_487]) ).
cnf(refute_7_496,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_7_208,refute_7_495]) ).
cnf(refute_7_497,plain,
( op1(e11,e13) != e10
| op1(e11,e13) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e10) ),[0],$fot(e13)]]) ).
cnf(refute_7_498,plain,
( op1(e11,e13) != e10
| e13 = e10
| op1(e10,e11) = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_7_496,refute_7_497]) ).
cnf(refute_7_499,plain,
( e13 = e10
| h2(e11) = e23
| op1(e10,e11) = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_7_472,refute_7_498]) ).
cnf(refute_7_500,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_7_501,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_7_500,refute_7_217]) ).
cnf(refute_7_502,plain,
( h2(e11) = e23
| op1(e10,e11) = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_7_499,refute_7_501]) ).
cnf(refute_7_503,plain,
( h4(op1(e11,e11)) != h2(e11)
| op1(e11,e11) != e13
| h4(e13) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_7_504,plain,
( h4(op1(e11,e11)) != h2(e11)
| h2(e11) = e23
| h4(e13) = h2(e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_7_502,refute_7_503]) ).
cnf(refute_7_505,plain,
( h2(e11) = e23
| h4(e13) = h2(e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_7_170,refute_7_504]) ).
cnf(refute_7_506,plain,
( h4(e13) != e23
| h4(e13) != h2(e11)
| e23 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h2(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_7_507,plain,
( h4(e13) != h2(e11)
| e23 = h2(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_17,refute_7_506]) ).
cnf(refute_7_508,plain,
( e23 = h2(e11)
| h2(e11) = e23
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(e13),h2(e11)) )],[refute_7_505,refute_7_507]) ).
cnf(refute_7_509,plain,
( h2(e11) != e23
| e23 = h2(e11) ),
inference(subst,[],[refute_7_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(e23))]]) ).
cnf(refute_7_510,plain,
( e23 = h2(e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_7_508,refute_7_509]) ).
cnf(refute_7_511,plain,
( e13 != op1(e10,e12)
| op1(e10,e11) != e13
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_7_512,plain,
( e13 != op1(e10,e12)
| e23 = h2(e11)
| op1(e10,e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_7_510,refute_7_511]) ).
cnf(refute_7_513,plain,
( e13 != op1(e10,e12)
| e23 = h2(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_7_512,refute_7_403]) ).
cnf(refute_7_514,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_7_88]) ).
cnf(refute_7_515,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_7_89]) ).
cnf(refute_7_516,plain,
( op1(e10,e12) != e12
| op1(e10,e13) != e12
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_7_517,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_7_60,refute_7_516]) ).
cnf(refute_7_518,plain,
op1(e10,e12) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_7_517,refute_7_515]) ).
cnf(refute_7_519,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_7_514,refute_7_518]) ).
cnf(refute_7_520,plain,
( e13 != e13
| op1(e10,e12) != e13
| e13 = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e10,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_7_521,plain,
( e13 != e13
| e13 = op1(e10,e12)
| op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_7_519,refute_7_520]) ).
cnf(refute_7_522,plain,
( e13 != e13
| e23 = h2(e11)
| op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e13,op1(e10,e12)) )],[refute_7_521,refute_7_513]) ).
cnf(refute_7_523,plain,
( e23 = h2(e11)
| op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_7_208,refute_7_522]) ).
cnf(refute_7_524,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_7_90]) ).
cnf(refute_7_525,plain,
( op2(e20,e21) != h2(e11)
| op2(e21,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_7_526,plain,
( op2(e20,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_109,refute_7_525]) ).
cnf(refute_7_527,plain,
op2(e20,e21) != h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_7_526,refute_7_524]) ).
cnf(refute_7_528,plain,
( e21 != op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_7_529,plain,
( op1(e10,e11) = e13
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_7_435,refute_7_528]) ).
cnf(refute_7_530,plain,
( e21 != h2(e11)
| op2(e20,e21) != e21
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(h2(e11))]]) ).
cnf(refute_7_531,plain,
( e21 != h2(e11)
| op1(e10,e11) = e13
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_7_529,refute_7_530]) ).
cnf(refute_7_532,plain,
( e21 != h2(e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_7_531,refute_7_527]) ).
cnf(refute_7_533,plain,
( e21 != h2(e11)
| h2(e11) = e21 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e21)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_7_534,plain,
( e22 = h2(e11)
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_7_218,refute_7_533]) ).
cnf(refute_7_535,plain,
( e21 != e21
| h2(e11) != e21
| e21 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h2(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_7_536,plain,
( e21 != e21
| e21 = h2(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_7_534,refute_7_535]) ).
cnf(refute_7_537,plain,
( e21 != e21
| e22 = h2(e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_7_536,refute_7_532]) ).
cnf(refute_7_538,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_7_539,plain,
( e22 = h2(e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_538,refute_7_537]) ).
cnf(refute_7_540,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op1(e10,e11) != e13
| h4(e13) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0,0],$fot(e13)]]) ).
cnf(refute_7_541,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| e22 = h2(e11)
| h4(e13) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_7_539,refute_7_540]) ).
cnf(refute_7_542,plain,
( e22 = h2(e11)
| h4(e13) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_7_418,refute_7_541]) ).
cnf(refute_7_543,plain,
( h4(e13) != e23
| h4(e13) != op2(e20,e21)
| e23 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e20,e21)) ),[0],$fot(e23)]]) ).
cnf(refute_7_544,plain,
( h4(e13) != op2(e20,e21)
| e23 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_17,refute_7_543]) ).
cnf(refute_7_545,plain,
( e22 = h2(e11)
| e23 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e21)) )],[refute_7_542,refute_7_544]) ).
cnf(refute_7_546,plain,
( e23 != op2(e20,e21)
| op2(e20,e21) = e23 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_7_547,plain,
( e22 = h2(e11)
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_7_545,refute_7_546]) ).
cnf(refute_7_548,plain,
( e23 != h2(e11)
| op2(e20,e21) != e23
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(h2(e11))]]) ).
cnf(refute_7_549,plain,
( e23 != h2(e11)
| e22 = h2(e11)
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_7_547,refute_7_548]) ).
cnf(refute_7_550,plain,
( e23 != h2(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_7_549,refute_7_527]) ).
cnf(refute_7_551,plain,
( e23 != e23
| e23 != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(e23,e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_7_552,plain,
( e23 != h2(e11)
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_142,refute_7_551]) ).
cnf(refute_7_553,plain,
( e22 != h2(e11)
| h2(e11) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_7_554,plain,
( e22 != h2(e11)
| e23 != h2(e11)
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_7_552,refute_7_553]) ).
cnf(refute_7_555,plain,
( e23 != h2(e11)
| e22 = e23 ),
inference(resolve,[$cnf( $equal(e22,h2(e11)) )],[refute_7_550,refute_7_554]) ).
cnf(refute_7_556,plain,
e22 != e23,
inference(canonicalize,[],[normalize_7_91]) ).
cnf(refute_7_557,plain,
e23 != h2(e11),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_7_555,refute_7_556]) ).
cnf(refute_7_558,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e23,h2(e11)) )],[refute_7_523,refute_7_557]) ).
cnf(refute_7_559,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e10
| h4(e10) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e10)]]) ).
cnf(refute_7_560,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e10) = op2(e20,e22)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_7_558,refute_7_559]) ).
cnf(refute_7_561,plain,
( h4(e10) = op2(e20,e22)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_7_356,refute_7_560]) ).
cnf(refute_7_562,plain,
( h4(e10) != e20
| h4(e10) != op2(e20,e22)
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e20,e22)) ),[0],$fot(e20)]]) ).
cnf(refute_7_563,plain,
( h4(e10) != op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_7_75,refute_7_562]) ).
cnf(refute_7_564,plain,
( e20 = op2(e20,e22)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e22)) )],[refute_7_561,refute_7_563]) ).
cnf(refute_7_565,plain,
( e20 != op2(e20,e22)
| op2(e20,e22) = e20 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_7_566,plain,
( op1(e10,e12) = e11
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_7_564,refute_7_565]) ).
cnf(refute_7_567,plain,
( e20 != e20
| op2(e20,e22) != e20
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_7_568,plain,
( e20 != e20
| e20 = op2(e20,e22)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_7_566,refute_7_567]) ).
cnf(refute_7_569,plain,
( e20 != e20
| op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_7_568,refute_7_402]) ).
cnf(refute_7_570,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_7_105,refute_7_569]) ).
cnf(refute_7_571,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e11
| h4(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e11)]]) ).
cnf(refute_7_572,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e11) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_7_570,refute_7_571]) ).
cnf(refute_7_573,plain,
( h4(e11) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_7_356,refute_7_572]) ).
cnf(refute_7_574,plain,
( h4(e11) != e21
| h4(e11) != op2(e20,e22)
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e20,e22)) ),[0],$fot(e21)]]) ).
cnf(refute_7_575,plain,
( h4(e11) != op2(e20,e22)
| e21 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_7_25,refute_7_574]) ).
cnf(refute_7_576,plain,
( e21 = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e22)) )],[refute_7_573,refute_7_575]) ).
cnf(refute_7_577,plain,
( e21 != op2(e20,e22)
| op2(e20,e22) = e21 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_7_578,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_7_576,refute_7_577]) ).
cnf(refute_7_579,plain,
( op2(e20,e22) != e21
| op2(op2(e20,e22),h3(e12)) != e22
| op2(e21,h3(e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) ),[0,0],$fot(e21)]]) ).
cnf(refute_7_580,plain,
( op2(op2(e20,e22),h3(e12)) != e22
| op2(e21,h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_7_578,refute_7_579]) ).
cnf(refute_7_581,plain,
( op2(e21,h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) )],[refute_7_341,refute_7_580]) ).
cnf(refute_7_582,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) != e21
| h3(e12) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),e21) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_7_583,plain,
( h3(e12) != op2(e20,e22)
| h3(e12) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_7_578,refute_7_582]) ).
cnf(refute_7_584,plain,
( h3(e12) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_7_336,refute_7_583]) ).
cnf(refute_7_585,plain,
( h3(e12) != e21
| op2(e21,h3(e12)) != e22
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e12)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_7_586,plain,
( op2(e21,h3(e12)) != e22
| op2(e21,e21) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),e21) )],[refute_7_584,refute_7_585]) ).
cnf(refute_7_587,plain,
( op2(e21,e21) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e12)),e22) )],[refute_7_581,refute_7_586]) ).
cnf(refute_7_588,plain,
( h2(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_7_587,refute_7_124]) ).
cnf(refute_7_589,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e11) != e22
| h2(e10) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_7_590,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e10) = op2(e21,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_7_588,refute_7_589]) ).
cnf(refute_7_591,plain,
( h2(e10) = op2(e21,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) )],[refute_7_263,refute_7_590]) ).
cnf(refute_7_592,plain,
op2(e21,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_7_92]) ).
cnf(refute_7_593,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_7_594,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_109,refute_7_593]) ).
cnf(refute_7_595,plain,
h2(e11) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_7_594,refute_7_592]) ).
cnf(refute_7_596,plain,
( e22 != op2(e22,e21)
| h2(e11) != e22
| h2(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_7_597,plain,
( e22 != op2(e22,e21)
| h2(e11) = op2(e22,e21)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_7_588,refute_7_596]) ).
cnf(refute_7_598,plain,
( e22 != op2(e22,e21)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e21)) )],[refute_7_597,refute_7_595]) ).
cnf(refute_7_599,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_7_93]) ).
cnf(refute_7_600,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(e13) = op2(e20,e21)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_7_429,refute_7_540]) ).
cnf(refute_7_601,plain,
( h4(e13) = op2(e20,e21)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_7_418,refute_7_600]) ).
cnf(refute_7_602,plain,
( e23 = op2(e20,e21)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e21)) )],[refute_7_601,refute_7_544]) ).
cnf(refute_7_603,plain,
( op1(e10,e11) = e11
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_7_602,refute_7_546]) ).
cnf(refute_7_604,plain,
( e23 != op2(e22,e21)
| op2(e20,e21) != e23
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_7_605,plain,
( e23 != op2(e22,e21)
| op1(e10,e11) = e11
| op2(e20,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_7_603,refute_7_604]) ).
cnf(refute_7_606,plain,
( e23 != op2(e22,e21)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_7_605,refute_7_599]) ).
cnf(refute_7_607,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(canonicalize,[],[normalize_7_94]) ).
cnf(refute_7_608,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_7_95]) ).
cnf(refute_7_609,plain,
( op2(e22,e21) != e20
| op2(e23,e21) != e20
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_7_610,plain,
( op2(e22,e21) != e20
| op2(e22,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_7_134,refute_7_609]) ).
cnf(refute_7_611,plain,
op2(e22,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_7_610,refute_7_608]) ).
cnf(refute_7_612,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_7_607,refute_7_611]) ).
cnf(refute_7_613,plain,
( e23 != e23
| op2(e22,e21) != e23
| e23 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_7_614,plain,
( e23 != e23
| e23 = op2(e22,e21)
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_7_612,refute_7_613]) ).
cnf(refute_7_615,plain,
( e23 != e23
| op1(e10,e11) = e11
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e21)) )],[refute_7_614,refute_7_606]) ).
cnf(refute_7_616,plain,
( op1(e10,e11) = e11
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_142,refute_7_615]) ).
cnf(refute_7_617,plain,
( e11 != op1(e10,e12)
| op1(e10,e11) != e11
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_7_618,plain,
( e11 != op1(e10,e12)
| op1(e10,e11) = e13
| op1(e10,e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_7_429,refute_7_617]) ).
cnf(refute_7_619,plain,
( e11 != op1(e10,e12)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_7_618,refute_7_403]) ).
cnf(refute_7_620,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_7_96]) ).
cnf(refute_7_621,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_7_622,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_7_360,refute_7_621]) ).
cnf(refute_7_623,plain,
( h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_7_620,refute_7_622]) ).
cnf(refute_7_624,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e22)]]) ).
cnf(refute_7_625,plain,
( op2(e20,e23) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_7_95,refute_7_624]) ).
cnf(refute_7_626,plain,
( e22 = e23
| h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_7_623,refute_7_625]) ).
cnf(refute_7_627,plain,
( h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_7_626,refute_7_556]) ).
cnf(refute_7_628,plain,
( op2(e20,e22) != e20
| op2(e20,e22) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e23) ),[0],$fot(e20)]]) ).
cnf(refute_7_629,plain,
( op2(e20,e22) != e23
| e20 = e23
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_7_566,refute_7_628]) ).
cnf(refute_7_630,plain,
( e20 = e23
| h1(e11) = e23
| op1(e10,e12) = e11
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_7_627,refute_7_629]) ).
cnf(refute_7_631,plain,
( h1(e11) = e23
| op1(e10,e12) = e11
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_7_630,refute_7_147]) ).
cnf(refute_7_632,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_7_97]) ).
cnf(refute_7_633,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_7_634,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_7_360,refute_7_633]) ).
cnf(refute_7_635,plain,
h1(e11) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_7_634,refute_7_632]) ).
cnf(refute_7_636,plain,
op1(e10,e10) != op1(e10,e11),
inference(canonicalize,[],[normalize_7_98]) ).
cnf(refute_7_637,plain,
( op1(e10,e10) != e11
| op1(e10,e11) != e11
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_7_638,plain,
( op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_7_429,refute_7_637]) ).
cnf(refute_7_639,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_7_638,refute_7_636]) ).
cnf(refute_7_640,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_7_99]) ).
cnf(refute_7_641,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_7_642,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_7_643,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_7_641,refute_7_642]) ).
cnf(refute_7_644,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_7_75,refute_7_643]) ).
cnf(refute_7_645,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_7_646,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_7_647,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_7_645,refute_7_646]) ).
cnf(refute_7_648,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_7_75,refute_7_647]) ).
cnf(refute_7_649,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_7_650,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_7_648,refute_7_649]) ).
cnf(refute_7_651,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_7_644,refute_7_650]) ).
cnf(refute_7_652,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_7_653,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_7_651,refute_7_652]) ).
cnf(refute_7_654,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_7_360,refute_7_653]) ).
cnf(refute_7_655,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_7_656,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_7_654,refute_7_655]) ).
cnf(refute_7_657,plain,
h4(op1(e10,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_7_640,refute_7_656]) ).
cnf(refute_7_658,plain,
( op1(e10,e10) != e13
| op1(e10,e11) != e13
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_7_659,plain,
( op1(e10,e10) != e13
| e23 = h2(e11)
| op1(e10,e10) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_7_510,refute_7_658]) ).
cnf(refute_7_660,plain,
( op1(e10,e10) != e13
| e23 = h2(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_7_659,refute_7_636]) ).
cnf(refute_7_661,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(canonicalize,[],[normalize_7_100]) ).
cnf(refute_7_662,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_7_101]) ).
cnf(refute_7_663,plain,
( op1(e10,e10) != e12
| op1(e10,e13) != e12
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_7_664,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_7_60,refute_7_663]) ).
cnf(refute_7_665,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_7_664,refute_7_662]) ).
cnf(refute_7_666,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_7_661,refute_7_665]) ).
cnf(refute_7_667,plain,
( e13 != e13
| op1(e10,e10) != e13
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(e13)]]) ).
cnf(refute_7_668,plain,
( e13 != e13
| op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_7_666,refute_7_667]) ).
cnf(refute_7_669,plain,
( e13 != e13
| e23 = h2(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_7_668,refute_7_660]) ).
cnf(refute_7_670,plain,
( e23 = h2(e11)
| op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_7_208,refute_7_669]) ).
cnf(refute_7_671,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(e23,h2(e11)) )],[refute_7_670,refute_7_557]) ).
cnf(refute_7_672,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e10
| h4(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e10)]]) ).
cnf(refute_7_673,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e10) = h1(e11)
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_7_671,refute_7_672]) ).
cnf(refute_7_674,plain,
( h4(e10) = h1(e11)
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_7_657,refute_7_673]) ).
cnf(refute_7_675,plain,
( h4(e10) != e20
| h4(e10) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h1(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_7_676,plain,
( h4(e10) != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_7_75,refute_7_675]) ).
cnf(refute_7_677,plain,
( e20 = h1(e11)
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_7_674,refute_7_676]) ).
cnf(refute_7_678,plain,
( e11 != e11
| op1(e10,e10) != e11
| op1(e10,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(e11)]]) ).
cnf(refute_7_679,plain,
( e11 != e11
| e20 = h1(e11)
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_7_677,refute_7_678]) ).
cnf(refute_7_680,plain,
( e11 != e11
| e20 = h1(e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_7_679,refute_7_639]) ).
cnf(refute_7_681,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_7_682,plain,
( e20 = h1(e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_7_681,refute_7_680]) ).
cnf(refute_7_683,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| e20 = h1(e11)
| h4(e13) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_7_682,refute_7_540]) ).
cnf(refute_7_684,plain,
( e20 = h1(e11)
| h4(e13) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_7_418,refute_7_683]) ).
cnf(refute_7_685,plain,
( e20 = h1(e11)
| e23 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e21)) )],[refute_7_684,refute_7_544]) ).
cnf(refute_7_686,plain,
( e20 = h1(e11)
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_7_685,refute_7_546]) ).
cnf(refute_7_687,plain,
( h1(e11) != e23
| op2(e20,e21) != e23
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_7_688,plain,
( h1(e11) != e23
| e20 = h1(e11)
| h1(e11) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_7_686,refute_7_687]) ).
cnf(refute_7_689,plain,
( h1(e11) != e23
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_7_688,refute_7_635]) ).
cnf(refute_7_690,plain,
( e20 != h1(e11)
| h1(e11) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_7_691,plain,
( h1(e11) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_7_689,refute_7_690]) ).
cnf(refute_7_692,plain,
h1(e11) != e23,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_7_691,refute_7_147]) ).
cnf(refute_7_693,plain,
( op1(e10,e12) = e11
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_7_631,refute_7_692]) ).
cnf(refute_7_694,plain,
( e21 != op2(e20,e21)
| e21 = e23
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_7_693,refute_7_468]) ).
cnf(refute_7_695,plain,
( e21 = e23
| op1(e10,e11) = e13
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_7_435,refute_7_694]) ).
cnf(refute_7_696,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_7_695,refute_7_471]) ).
cnf(refute_7_697,plain,
( e11 != e11
| op1(e10,e12) != e11
| e11 = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_7_698,plain,
( e11 != e11
| e11 = op1(e10,e12)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_7_696,refute_7_697]) ).
cnf(refute_7_699,plain,
( e11 != e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,op1(e10,e12)) )],[refute_7_698,refute_7_619]) ).
cnf(refute_7_700,plain,
op1(e10,e11) = e13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_7_681,refute_7_699]) ).
cnf(refute_7_701,plain,
( op1(e10,e11) != e11
| op1(e10,e11) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e13)]]) ).
cnf(refute_7_702,plain,
( op1(e10,e11) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_7_700,refute_7_701]) ).
cnf(refute_7_703,plain,
( e13 = e11
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_7_616,refute_7_702]) ).
cnf(refute_7_704,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_7_705,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_7_704,refute_7_481]) ).
cnf(refute_7_706,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_7_703,refute_7_705]) ).
cnf(refute_7_707,plain,
( e22 != e22
| op2(e22,e21) != e22
| e22 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_7_708,plain,
( e22 != e22
| e22 = op2(e22,e21)
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_7_706,refute_7_707]) ).
cnf(refute_7_709,plain,
( e22 != e22
| op2(e22,e21) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e21)) )],[refute_7_708,refute_7_598]) ).
cnf(refute_7_710,plain,
( op2(e22,e21) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_7_224,refute_7_709]) ).
cnf(refute_7_711,plain,
( h2(e11) != e21
| op2(e22,e21) != e21
| h2(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_7_712,plain,
( h2(e11) != e21
| h2(e11) = op2(e22,e21)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_7_710,refute_7_711]) ).
cnf(refute_7_713,plain,
( h2(e11) != e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e21)) )],[refute_7_712,refute_7_595]) ).
cnf(refute_7_714,plain,
op2(e20,e20) != op2(e21,e20),
inference(canonicalize,[],[normalize_7_102]) ).
cnf(refute_7_715,plain,
( h1(e11) != op2(e21,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_7_716,plain,
( h1(e11) != op2(e21,e20)
| op2(e20,e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_7_360,refute_7_715]) ).
cnf(refute_7_717,plain,
h1(e11) != op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_7_716,refute_7_714]) ).
cnf(refute_7_718,plain,
( e20 != op2(e21,e20)
| h1(e11) != e20
| h1(e11) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_7_719,plain,
( e20 != op2(e21,e20)
| h1(e11) = op2(e21,e20)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_7_399,refute_7_718]) ).
cnf(refute_7_720,plain,
( e20 != op2(e21,e20)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e20)) )],[refute_7_719,refute_7_717]) ).
cnf(refute_7_721,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_7_103]) ).
cnf(refute_7_722,plain,
( e22 = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_7_721,refute_7_625]) ).
cnf(refute_7_723,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e21)]]) ).
cnf(refute_7_724,plain,
( op2(e23,e23) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_6,refute_7_723]) ).
cnf(refute_7_725,plain,
( e21 = e23
| e22 = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_7_722,refute_7_724]) ).
cnf(refute_7_726,plain,
( e22 = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_7_725,refute_7_471]) ).
cnf(refute_7_727,plain,
( op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_7_726,refute_7_556]) ).
cnf(refute_7_728,plain,
( e23 != e23
| e23 = op2(e22,e23)
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_7_727,refute_7_327]) ).
cnf(refute_7_729,plain,
( e23 != e23
| op2(e21,e23) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_7_728,refute_7_313]) ).
cnf(refute_7_730,plain,
( op2(e21,e23) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_142,refute_7_729]) ).
cnf(refute_7_731,plain,
( h2(e11) != e23
| h2(e11) = op2(e21,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_7_730,refute_7_113]) ).
cnf(refute_7_732,plain,
( h2(e11) != e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e23)) )],[refute_7_731,refute_7_112]) ).
cnf(refute_7_733,plain,
( e23 != e23
| h2(e11) = e21
| h2(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_7_140,refute_7_732]) ).
cnf(refute_7_734,plain,
( h2(e11) = e21
| h2(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_142,refute_7_733]) ).
cnf(refute_7_735,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e10) = op2(e21,e22)
| h2(e11) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_7_734,refute_7_589]) ).
cnf(refute_7_736,plain,
( h2(e10) = op2(e21,e22)
| h2(e11) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) )],[refute_7_263,refute_7_735]) ).
cnf(refute_7_737,plain,
( op2(e21,e23) != e20
| op2(e21,e23) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_7_330,refute_7_438]) ).
cnf(refute_7_738,plain,
( op2(e21,e23) != e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_7_737,refute_7_437]) ).
cnf(refute_7_739,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(canonicalize,[],[normalize_7_104]) ).
cnf(refute_7_740,plain,
( h2(e11) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_7_739,refute_7_118]) ).
cnf(refute_7_741,plain,
( op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_7_740,refute_7_137]) ).
cnf(refute_7_742,plain,
( e20 != e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_7_741,refute_7_451]) ).
cnf(refute_7_743,plain,
( e20 != e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_7_742,refute_7_738]) ).
cnf(refute_7_744,plain,
( op2(e21,e20) = e20
| op2(e21,e22) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_7_105,refute_7_743]) ).
cnf(refute_7_745,plain,
( h2(e10) != op2(e21,e22)
| op2(e21,e22) != e20
| h2(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),e20) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_7_746,plain,
( h2(e10) != op2(e21,e22)
| h2(e10) = e20
| op2(e21,e20) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_7_744,refute_7_745]) ).
cnf(refute_7_747,plain,
( h2(e10) = e20
| h2(e11) = e21
| op2(e21,e20) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e22)) )],[refute_7_736,refute_7_746]) ).
cnf(refute_7_748,plain,
( e20 != e20
| op2(e21,e20) != e20
| e20 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e21,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_7_749,plain,
( e20 != e20
| e20 = op2(e21,e20)
| h2(e10) = e20
| h2(e11) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_7_747,refute_7_748]) ).
cnf(refute_7_750,plain,
( e20 != e20
| h2(e10) = e20
| h2(e11) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e20)) )],[refute_7_749,refute_7_720]) ).
cnf(refute_7_751,plain,
( h2(e10) = e20
| h2(e11) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_7_105,refute_7_750]) ).
cnf(refute_7_752,plain,
( e21 != e21
| h2(e11) != e21
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_7_753,plain,
( e21 != e21
| h2(e10) = e20
| h2(e11) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_7_751,refute_7_752]) ).
cnf(refute_7_754,plain,
( e21 != e21
| h2(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_7_753,refute_7_713]) ).
cnf(refute_7_755,plain,
( h2(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_538,refute_7_754]) ).
cnf(refute_7_756,plain,
( h2(e10) != e20
| h2(e10) != op2(e21,e22)
| e20 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,e22)) ),[0],$fot(e20)]]) ).
cnf(refute_7_757,plain,
( h2(e10) != op2(e21,e22)
| e20 = op2(e21,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e10),e20) )],[refute_7_755,refute_7_756]) ).
cnf(refute_7_758,plain,
( e20 = op2(e21,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e22)) )],[refute_7_591,refute_7_757]) ).
cnf(refute_7_759,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_7_105]) ).
cnf(refute_7_760,plain,
op2(e21,h4(e12)) = op2(e21,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).
cnf(refute_7_761,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) != op2(e21,h4(e12))
| op2(e21,h4(e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_7_762,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) )],[refute_7_760,refute_7_761]) ).
cnf(refute_7_763,plain,
op2(e21,h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_7_201,refute_7_762]) ).
cnf(refute_7_764,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_7_765,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_766,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_7_764,refute_7_765]) ).
cnf(refute_7_767,plain,
op2(h4(e11),h4(e12)) = op2(e21,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_7_25,refute_7_766]) ).
cnf(refute_7_768,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) != op2(e21,h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).
cnf(refute_7_769,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,h4(e12))) )],[refute_7_767,refute_7_768]) ).
cnf(refute_7_770,plain,
op2(h4(e11),h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e22)) )],[refute_7_763,refute_7_769]) ).
cnf(refute_7_771,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(e21,e22)
| h4(op1(e11,e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_7_772,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,e22)) )],[refute_7_770,refute_7_771]) ).
cnf(refute_7_773,plain,
h4(op1(e11,e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_7_759,refute_7_772]) ).
cnf(refute_7_774,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_7_106]) ).
cnf(refute_7_775,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) != e11
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_7_776,plain,
( e11 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_7_570,refute_7_775]) ).
cnf(refute_7_777,plain,
( e11 != op1(e11,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_7_776,refute_7_774]) ).
cnf(refute_7_778,plain,
op1(e11,e12) != op1(e11,e13),
inference(canonicalize,[],[normalize_7_107]) ).
cnf(refute_7_779,plain,
( h4(op1(e11,e13)) != e23
| op2(e21,e23) != e23
| h4(op1(e11,e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_7_780,plain,
( h4(op1(e11,e13)) != e23
| h4(op1(e11,e13)) = op2(e21,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_7_730,refute_7_779]) ).
cnf(refute_7_781,plain,
( h4(op1(e11,e13)) != e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_7_780,refute_7_37]) ).
cnf(refute_7_782,plain,
( h4(e13) != e23
| op1(e11,e13) != e13
| h4(op1(e11,e13)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),e23) ),[0,0],$fot(e13)]]) ).
cnf(refute_7_783,plain,
( h4(e13) != e23
| h4(op1(e11,e13)) = e23
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_7_66,refute_7_782]) ).
cnf(refute_7_784,plain,
( h4(e13) != e23
| op1(e11,e13) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),e23) )],[refute_7_783,refute_7_781]) ).
cnf(refute_7_785,plain,
( e23 != e23
| h4(e13) != e23
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_7_786,plain,
( e23 != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_17,refute_7_785]) ).
cnf(refute_7_787,plain,
( e23 != e23
| op1(e11,e13) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_786,refute_7_784]) ).
cnf(refute_7_788,plain,
( op1(e11,e13) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_142,refute_7_787]) ).
cnf(refute_7_789,plain,
( op1(e11,e12) != e10
| op1(e11,e13) != e10
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e11,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_7_790,plain,
( op1(e11,e12) != e10
| op1(e11,e12) = op1(e11,e13)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_7_788,refute_7_789]) ).
cnf(refute_7_791,plain,
( op1(e11,e12) != e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_7_790,refute_7_778]) ).
cnf(refute_7_792,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_7_108]) ).
cnf(refute_7_793,plain,
( e10 != e10
| op1(e11,e12) != e10
| op1(e11,e12) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e10) ),[1],$fot(e10)]]) ).
cnf(refute_7_794,plain,
( e10 != e10
| op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_7_792,refute_7_793]) ).
cnf(refute_7_795,plain,
( e10 != e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_7_794,refute_7_791]) ).
cnf(refute_7_796,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_7_797,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_7_796,refute_7_795]) ).
cnf(refute_7_798,plain,
( e11 != e11
| op1(e11,e12) != e11
| e11 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_7_799,plain,
( e11 != e11
| e11 = op1(e11,e12)
| op1(e11,e12) = e12
| op1(e11,e12) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_7_797,refute_7_798]) ).
cnf(refute_7_800,plain,
( e11 != e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_7_799,refute_7_777]) ).
cnf(refute_7_801,plain,
( op1(e11,e12) = e12
| op1(e11,e12) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_7_681,refute_7_800]) ).
cnf(refute_7_802,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| op1(e11,e12) != e12
| h4(e12) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0,0],$fot(e12)]]) ).
cnf(refute_7_803,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| h4(e12) = op2(e21,e22)
| op1(e11,e12) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_7_801,refute_7_802]) ).
cnf(refute_7_804,plain,
( h4(e12) = op2(e21,e22)
| op1(e11,e12) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_7_773,refute_7_803]) ).
cnf(refute_7_805,plain,
( h4(e12) != e22
| h4(e12) != op2(e21,e22)
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(e21,e22)) ),[0],$fot(e22)]]) ).
cnf(refute_7_806,plain,
( h4(e12) != op2(e21,e22)
| e22 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_7_201,refute_7_805]) ).
cnf(refute_7_807,plain,
( e22 = op2(e21,e22)
| op1(e11,e12) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e21,e22)) )],[refute_7_804,refute_7_806]) ).
cnf(refute_7_808,plain,
( e22 != op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_7_809,plain,
( op1(e11,e12) = e13
| op2(e21,e22) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_7_807,refute_7_808]) ).
cnf(refute_7_810,plain,
( e20 != op2(e21,e22)
| op2(e21,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e22) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_7_811,plain,
( e20 != op2(e21,e22)
| e20 = e22
| op1(e11,e12) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_7_809,refute_7_810]) ).
cnf(refute_7_812,plain,
( e20 = e22
| op1(e11,e12) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e22)) )],[refute_7_758,refute_7_811]) ).
cnf(refute_7_813,plain,
( op1(e11,e12) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_7_812,refute_7_371]) ).
cnf(refute_7_814,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| op1(e11,e12) != e13
| h4(e13) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0,0],$fot(e13)]]) ).
cnf(refute_7_815,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| h4(e13) = op2(e21,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_7_813,refute_7_814]) ).
cnf(refute_7_816,plain,
( h4(e13) = op2(e21,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_7_773,refute_7_815]) ).
cnf(refute_7_817,plain,
( h4(e13) != e23
| h4(e13) != op2(e21,e22)
| e23 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e21,e22)) ),[0],$fot(e23)]]) ).
cnf(refute_7_818,plain,
( h4(e13) != op2(e21,e22)
| e23 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_17,refute_7_817]) ).
cnf(refute_7_819,plain,
( e23 = op2(e21,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,e22)) )],[refute_7_816,refute_7_818]) ).
cnf(refute_7_820,plain,
( e23 != op2(e21,e22)
| op2(e21,e22) = e23 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_7_821,plain,
( op2(e21,e22) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e22)) )],[refute_7_819,refute_7_820]) ).
cnf(refute_7_822,plain,
( e20 != op2(e21,e22)
| op2(e21,e22) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e23) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_7_823,plain,
( e20 != op2(e21,e22)
| e20 = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_7_821,refute_7_822]) ).
cnf(refute_7_824,plain,
( e20 = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e22)) )],[refute_7_758,refute_7_823]) ).
cnf(refute_7_825,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_7_824,refute_7_147]) ).
cnf(refute_7_826,plain,
( ~ definitionFOFtoCNF_3
| op2(h2(e11),h2(e11)) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_7_825,refute_7_255]) ).
cnf(refute_7_827,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e22),op2(e22,e22)) = e22 ),
inference(canonicalize,[],[normalize_7_111]) ).
cnf(refute_7_828,plain,
op2(h3(e11),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(h3(e11),op2(e22,e22)))]]) ).
cnf(refute_7_829,plain,
( op2(e22,e22) != h3(e11)
| op2(h3(e11),op2(e22,e22)) != op2(h3(e11),op2(e22,e22))
| op2(h3(e11),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),op2(e22,e22)),op2(h3(e11),op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_7_830,plain,
( op2(e22,e22) != h3(e11)
| op2(h3(e11),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),op2(e22,e22)),op2(h3(e11),op2(e22,e22))) )],[refute_7_828,refute_7_829]) ).
cnf(refute_7_831,plain,
op2(h3(e11),op2(e22,e22)) = op2(h3(e11),h3(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_7_278,refute_7_830]) ).
cnf(refute_7_832,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_7_833,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(h3(e11))]]) ).
cnf(refute_7_834,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_7_832,refute_7_833]) ).
cnf(refute_7_835,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_7_278,refute_7_834]) ).
cnf(refute_7_836,plain,
( op2(h3(e11),op2(e22,e22)) != op2(h3(e11),h3(e11))
| op2(op2(e22,e22),op2(e22,e22)) != op2(h3(e11),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(h3(e11),op2(e22,e22)))),bind(Z,$fot(op2(h3(e11),h3(e11))))]]) ).
cnf(refute_7_837,plain,
( op2(h3(e11),op2(e22,e22)) != op2(h3(e11),h3(e11))
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(h3(e11),op2(e22,e22))) )],[refute_7_835,refute_7_836]) ).
cnf(refute_7_838,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),h3(e11)),
inference(resolve,[$cnf( $equal(op2(h3(e11),op2(e22,e22)),op2(h3(e11),h3(e11))) )],[refute_7_831,refute_7_837]) ).
cnf(refute_7_839,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e22),op2(e22,e22)) != op2(h3(e11),h3(e11))
| op2(h3(e11),h3(e11)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e22) ),[0],$fot(op2(h3(e11),h3(e11)))]]) ).
cnf(refute_7_840,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(h3(e11),h3(e11)) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(h3(e11),h3(e11))) )],[refute_7_838,refute_7_839]) ).
cnf(refute_7_841,plain,
( ~ definitionFOFtoCNF_5
| op2(h3(e11),h3(e11)) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e22) )],[refute_7_827,refute_7_840]) ).
cnf(refute_7_842,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_7_116]) ).
cnf(refute_7_843,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_7_844,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_845,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_7_843,refute_7_844]) ).
cnf(refute_7_846,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_6,refute_7_845]) ).
cnf(refute_7_847,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_7_848,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_849,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_7_847,refute_7_848]) ).
cnf(refute_7_850,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_6,refute_7_849]) ).
cnf(refute_7_851,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_7_852,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_7_850,refute_7_851]) ).
cnf(refute_7_853,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_7_846,refute_7_852]) ).
cnf(refute_7_854,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_7_855,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_7_853,refute_7_854]) ).
cnf(refute_7_856,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_109,refute_7_855]) ).
cnf(refute_7_857,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_7_858,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_7_856,refute_7_857]) ).
cnf(refute_7_859,plain,
( h2(e11) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) )],[refute_7_842,refute_7_858]) ).
cnf(refute_7_860,plain,
( h2(e11) != e23
| op2(e20,e21) != e23
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),h2(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_7_861,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = h2(e11)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_7_859,refute_7_860]) ).
cnf(refute_7_862,plain,
( op2(e20,e21) != e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_7_861,refute_7_527]) ).
cnf(refute_7_863,plain,
( e23 != e23
| op2(e20,e21) != e23
| op2(e20,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_7_864,plain,
( e23 != e23
| op1(e10,e11) = e11
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_7_603,refute_7_863]) ).
cnf(refute_7_865,plain,
( e23 != e23
| op1(e10,e11) = e11
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_7_864,refute_7_862]) ).
cnf(refute_7_866,plain,
( op1(e10,e11) = e11
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_142,refute_7_865]) ).
cnf(refute_7_867,plain,
( h1(e11) != e21
| op2(e20,e21) != e21
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_7_868,plain,
( h1(e11) != e21
| h1(e11) = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_7_529,refute_7_867]) ).
cnf(refute_7_869,plain,
( h1(e11) != e21
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_7_868,refute_7_635]) ).
cnf(refute_7_870,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_7_117]) ).
cnf(refute_7_871,plain,
op2(e20,op2(e23,e21)) = op2(e20,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e21)))]]) ).
cnf(refute_7_872,plain,
( op2(e20,op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(e23,e21) != e20
| op2(e20,op2(e23,e21)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) ),[1,1],$fot(e20)]]) ).
cnf(refute_7_873,plain,
( op2(e23,e21) != e20
| op2(e20,op2(e23,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_7_871,refute_7_872]) ).
cnf(refute_7_874,plain,
op2(e20,op2(e23,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_7_134,refute_7_873]) ).
cnf(refute_7_875,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(op2(e23,e21),op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),op2(e23,e21)))]]) ).
cnf(refute_7_876,plain,
( op2(e23,e21) != e20
| op2(op2(e23,e21),op2(e23,e21)) != op2(op2(e23,e21),op2(e23,e21))
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(op2(e23,e21),op2(e23,e21))) ),[1,0],$fot(e20)]]) ).
cnf(refute_7_877,plain,
( op2(e23,e21) != e20
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(op2(e23,e21),op2(e23,e21))) )],[refute_7_875,refute_7_876]) ).
cnf(refute_7_878,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_7_134,refute_7_877]) ).
cnf(refute_7_879,plain,
( op2(e20,op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(op2(e23,e21),op2(e23,e21)))),bind(Y,$fot(op2(e20,op2(e23,e21)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_7_880,plain,
( op2(e20,op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_7_878,refute_7_879]) ).
cnf(refute_7_881,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,e20)) )],[refute_7_874,refute_7_880]) ).
cnf(refute_7_882,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e23,e21),op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) = h1(e11) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(op2(e23,e21),op2(e23,e21)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_7_883,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e23,e21),op2(e23,e21)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(e20,e20)) )],[refute_7_881,refute_7_882]) ).
cnf(refute_7_884,plain,
op2(op2(e23,e21),op2(e23,e21)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_7_360,refute_7_883]) ).
cnf(refute_7_885,plain,
( op2(op2(e23,e21),op2(e23,e21)) != e21
| op2(op2(e23,e21),op2(e23,e21)) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_7_886,plain,
( op2(op2(e23,e21),op2(e23,e21)) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),h1(e11)) )],[refute_7_884,refute_7_885]) ).
cnf(refute_7_887,plain,
( h1(e11) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),e21) )],[refute_7_870,refute_7_886]) ).
cnf(refute_7_888,plain,
( e21 != e21
| h1(e11) != e21
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_7_889,plain,
( e21 != e21
| h1(e11) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_7_887,refute_7_888]) ).
cnf(refute_7_890,plain,
( e21 != e21
| op1(e10,e11) = e13
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_7_889,refute_7_869]) ).
cnf(refute_7_891,plain,
( op1(e10,e11) = e13
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_538,refute_7_890]) ).
cnf(refute_7_892,plain,
( op1(e10,e11) != e11
| e13 = e11
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_7_891,refute_7_701]) ).
cnf(refute_7_893,plain,
( e13 = e11
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_7_866,refute_7_892]) ).
cnf(refute_7_894,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_7_893,refute_7_705]) ).
cnf(refute_7_895,plain,
( op2(h3(e11),h3(e11)) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_7_894,refute_7_841]) ).
cnf(refute_7_896,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 ),
inference(canonicalize,[],[normalize_7_118]) ).
cnf(refute_7_897,plain,
( op2(op2(e22,e21),op2(e22,e21)) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_7_894,refute_7_896]) ).
cnf(refute_7_898,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(canonicalize,[],[normalize_7_119]) ).
cnf(refute_7_899,plain,
( h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_7_898,refute_7_124]) ).
cnf(refute_7_900,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_7_120]) ).
cnf(refute_7_901,plain,
( op2(e20,e21) != e22
| op2(e20,e23) != e22
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_7_902,plain,
( op2(e20,e21) != e22
| op2(e20,e21) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_7_95,refute_7_901]) ).
cnf(refute_7_903,plain,
op2(e20,e21) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_7_902,refute_7_900]) ).
cnf(refute_7_904,plain,
( h2(e11) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_7_899,refute_7_903]) ).
cnf(refute_7_905,plain,
( op2(e23,e21) != e20
| op2(e23,e21) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e22) ),[0],$fot(e20)]]) ).
cnf(refute_7_906,plain,
( op2(e23,e21) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_7_134,refute_7_905]) ).
cnf(refute_7_907,plain,
( e20 = e22
| h2(e11) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_7_904,refute_7_906]) ).
cnf(refute_7_908,plain,
( h2(e11) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_7_907,refute_7_371]) ).
cnf(refute_7_909,plain,
( op2(e22,e21) != e22
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(e22,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),op2(e22,e21)),e21) ),[0,0],$fot(e22)]]) ).
cnf(refute_7_910,plain,
( op2(op2(e22,e21),op2(e22,e21)) != e21
| h2(e11) = e22
| op2(e22,op2(e22,e21)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_7_908,refute_7_909]) ).
cnf(refute_7_911,plain,
( h2(e11) = e22
| op2(e22,op2(e22,e21)) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),op2(e22,e21)),e21) )],[refute_7_897,refute_7_910]) ).
cnf(refute_7_912,plain,
( op2(e22,e21) != e22
| op2(e22,op2(e22,e21)) != e21
| op2(e22,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) ),[0,1],$fot(e22)]]) ).
cnf(refute_7_913,plain,
( op2(e22,op2(e22,e21)) != e21
| h2(e11) = e22
| op2(e22,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_7_908,refute_7_912]) ).
cnf(refute_7_914,plain,
( h2(e11) = e22
| op2(e22,e22) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),e21) )],[refute_7_911,refute_7_913]) ).
cnf(refute_7_915,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_7_916,plain,
( op2(e22,e22) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_7_278,refute_7_915]) ).
cnf(refute_7_917,plain,
( h2(e11) = e22
| h3(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_7_914,refute_7_916]) ).
cnf(refute_7_918,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e11)) != e22
| op2(e21,h3(e11)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e11)),e22) ),[0,0],$fot(e21)]]) ).
cnf(refute_7_919,plain,
( op2(h3(e11),h3(e11)) != e22
| h2(e11) = e22
| op2(e21,h3(e11)) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_7_917,refute_7_918]) ).
cnf(refute_7_920,plain,
( h2(e11) = e22
| op2(e21,h3(e11)) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),e22) )],[refute_7_895,refute_7_919]) ).
cnf(refute_7_921,plain,
( h3(e11) != e21
| op2(e21,h3(e11)) != e22
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e11)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_7_922,plain,
( op2(e21,h3(e11)) != e22
| h2(e11) = e22
| op2(e21,e21) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_7_917,refute_7_921]) ).
cnf(refute_7_923,plain,
( h2(e11) = e22
| op2(e21,e21) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e11)),e22) )],[refute_7_920,refute_7_922]) ).
cnf(refute_7_924,plain,
( h2(e11) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_7_923,refute_7_124]) ).
cnf(refute_7_925,plain,
( e22 != op2(e22,e21)
| h2(e11) = op2(e22,e21)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_7_924,refute_7_596]) ).
cnf(refute_7_926,plain,
( e22 != op2(e22,e21)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e21)) )],[refute_7_925,refute_7_595]) ).
cnf(refute_7_927,plain,
( e22 != e22
| op2(e22,e21) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e21)) )],[refute_7_708,refute_7_926]) ).
cnf(refute_7_928,plain,
( op2(e22,e21) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_7_224,refute_7_927]) ).
cnf(refute_7_929,plain,
( h2(e11) != e21
| h2(e11) = op2(e22,e21)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_7_928,refute_7_711]) ).
cnf(refute_7_930,plain,
( h2(e11) != e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e21)) )],[refute_7_929,refute_7_595]) ).
cnf(refute_7_931,plain,
( op2(e22,e21) != e21
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(e21,op2(e22,e21)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),op2(e22,e21)),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_7_932,plain,
( op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(e21,op2(e22,e21)) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_7_928,refute_7_931]) ).
cnf(refute_7_933,plain,
( op2(e21,op2(e22,e21)) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),op2(e22,e21)),e21) )],[refute_7_897,refute_7_932]) ).
cnf(refute_7_934,plain,
( op2(e21,op2(e22,e21)) != e21
| op2(e22,e21) != e21
| op2(e21,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e21)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_7_935,plain,
( op2(e21,op2(e22,e21)) != e21
| op2(e21,e21) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_7_928,refute_7_934]) ).
cnf(refute_7_936,plain,
( op2(e21,e21) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e21)),e21) )],[refute_7_933,refute_7_935]) ).
cnf(refute_7_937,plain,
( h2(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_7_936,refute_7_121]) ).
cnf(refute_7_938,plain,
( e21 != e21
| h2(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_7_937,refute_7_752]) ).
cnf(refute_7_939,plain,
( e21 != e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_7_938,refute_7_930]) ).
cnf(refute_7_940,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_538,refute_7_939]) ).
cnf(refute_7_941,plain,
op2(h2(e11),h2(e11)) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_7_940,refute_7_826]) ).
cnf(refute_7_942,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_7_121]) ).
cnf(refute_7_943,plain,
( op2(e22,e21) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_7_944,plain,
( op2(e22,e21) != h3(e11)
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_7_278,refute_7_943]) ).
cnf(refute_7_945,plain,
op2(e22,e21) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_7_944,refute_7_942]) ).
cnf(refute_7_946,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_7_122]) ).
cnf(refute_7_947,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_7_946,refute_7_121]) ).
cnf(refute_7_948,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_7_123]) ).
cnf(refute_7_949,plain,
( op2(e23,e21) != e21
| op2(e23,e23) != e21
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_7_950,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_6,refute_7_949]) ).
cnf(refute_7_951,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_7_950,refute_7_948]) ).
cnf(refute_7_952,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_7_947,refute_7_951]) ).
cnf(refute_7_953,plain,
( e21 != h3(e11)
| op2(e22,e21) != e21
| op2(e22,e21) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[1],$fot(h3(e11))]]) ).
cnf(refute_7_954,plain,
( e21 != h3(e11)
| h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_7_952,refute_7_953]) ).
cnf(refute_7_955,plain,
( e21 != h3(e11)
| h2(e11) = e21
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),h3(e11)) )],[refute_7_954,refute_7_945]) ).
cnf(refute_7_956,plain,
h4(op1(e10,e11)) = h4(op1(e10,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e11)))]]) ).
cnf(refute_7_957,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e11))
| op1(e10,e11) != e13
| h4(op1(e10,e11)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) ),[1,0],$fot(e13)]]) ).
cnf(refute_7_958,plain,
( op1(e10,e11) != e13
| h4(op1(e10,e11)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) )],[refute_7_956,refute_7_957]) ).
cnf(refute_7_959,plain,
h4(op1(e10,e11)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_7_700,refute_7_958]) ).
cnf(refute_7_960,plain,
( h4(e13) != e23
| h4(op1(e10,e11)) != h4(e13)
| h4(op1(e10,e11)) = e23 ),
inference(subst,[],[refute_7_31:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_7_961,plain,
( h4(e13) != e23
| h4(op1(e10,e11)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(e13)) )],[refute_7_959,refute_7_960]) ).
cnf(refute_7_962,plain,
h4(op1(e10,e11)) = e23,
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_17,refute_7_961]) ).
cnf(refute_7_963,plain,
( h4(op1(e10,e11)) != e23
| h4(op1(e10,e11)) != op2(e20,e21)
| e23 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(e23)]]) ).
cnf(refute_7_964,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| e23 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e23) )],[refute_7_962,refute_7_963]) ).
cnf(refute_7_965,plain,
e23 = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_7_418,refute_7_964]) ).
cnf(refute_7_966,plain,
op2(e20,e21) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_7_965,refute_7_546]) ).
cnf(refute_7_967,plain,
( op2(e20,e21) != e21
| op2(e20,e21) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e23)]]) ).
cnf(refute_7_968,plain,
( op2(e20,e21) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_7_966,refute_7_967]) ).
cnf(refute_7_969,plain,
( e21 != h3(e11)
| e23 = e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_7_955,refute_7_968]) ).
cnf(refute_7_970,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_7_971,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_7_970,refute_7_471]) ).
cnf(refute_7_972,plain,
( e21 != h3(e11)
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_7_969,refute_7_971]) ).
cnf(refute_7_973,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e11) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_974,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e10) = op2(e21,e21)
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_7_138,refute_7_973]) ).
cnf(refute_7_975,plain,
( h2(e10) = op2(e21,e21)
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) )],[refute_7_263,refute_7_974]) ).
cnf(refute_7_976,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e11)
| h2(e10) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e11)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_7_977,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_109,refute_7_976]) ).
cnf(refute_7_978,plain,
( h2(e10) = h2(e11)
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_7_975,refute_7_977]) ).
cnf(refute_7_979,plain,
( h2(e10) != h2(e11)
| h2(e11) = h2(e10) ),
inference(subst,[],[refute_7_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_7_980,plain,
( h2(e11) = e22
| h2(e11) = e23
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e11)) )],[refute_7_978,refute_7_979]) ).
cnf(refute_7_981,plain,
( h2(e11) != e21
| h2(e11) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_7_982,plain,
( h2(e11) != e21
| h2(e10) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_7_980,refute_7_981]) ).
cnf(refute_7_983,plain,
( h2(e10) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_7_138,refute_7_982]) ).
cnf(refute_7_984,plain,
( h2(e11) != e21
| h2(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_7_985,plain,
( h2(e11) != e23
| e21 = e23
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_7_534,refute_7_984]) ).
cnf(refute_7_986,plain,
( e21 = e23
| e22 = h2(e11)
| h2(e10) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_7_983,refute_7_985]) ).
cnf(refute_7_987,plain,
( e21 = e23
| e22 = h2(e11)
| h2(e10) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_7_986,refute_7_215]) ).
cnf(refute_7_988,plain,
( e22 = h2(e11)
| h2(e10) = e21 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_7_987,refute_7_471]) ).
cnf(refute_7_989,plain,
( h2(e10) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(e22,h2(e11)) )],[refute_7_988,refute_7_219]) ).
cnf(refute_7_990,plain,
( h2(e11) != e22
| op2(h2(e11),h2(e11)) != e21
| op2(h2(e11),e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),h2(e11)),e21) ),[0,1],$fot(e22)]]) ).
cnf(refute_7_991,plain,
( op2(h2(e11),h2(e11)) != e21
| h2(e10) = e21
| op2(h2(e11),e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_7_989,refute_7_990]) ).
cnf(refute_7_992,plain,
( h2(e10) = e21
| op2(h2(e11),e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),h2(e11)),e21) )],[refute_7_941,refute_7_991]) ).
cnf(refute_7_993,plain,
( h2(e11) != e22
| op2(h2(e11),e22) != e21
| op2(e22,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e22),e21) ),[0,0],$fot(e22)]]) ).
cnf(refute_7_994,plain,
( op2(h2(e11),e22) != e21
| h2(e10) = e21
| op2(e22,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_7_989,refute_7_993]) ).
cnf(refute_7_995,plain,
( h2(e10) = e21
| op2(e22,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e22),e21) )],[refute_7_992,refute_7_994]) ).
cnf(refute_7_996,plain,
( h2(e10) = e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_7_995,refute_7_916]) ).
cnf(refute_7_997,plain,
( e21 != e21
| h3(e11) != e21
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_7_998,plain,
( e21 != e21
| e21 = h3(e11)
| h2(e10) = e21 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_7_996,refute_7_997]) ).
cnf(refute_7_999,plain,
( e21 != e21
| h2(e10) = e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_7_998,refute_7_972]) ).
cnf(refute_7_1000,plain,
( h2(e10) = e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_538,refute_7_999]) ).
cnf(refute_7_1001,plain,
( h2(e11) != e21
| op2(h2(e11),h2(e11)) != e21
| op2(e21,h2(e11)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),h2(e11)),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_7_1002,plain,
( op2(h2(e11),h2(e11)) != e21
| h2(e10) = e21
| op2(e21,h2(e11)) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_7_1000,refute_7_1001]) ).
cnf(refute_7_1003,plain,
( h2(e10) = e21
| op2(e21,h2(e11)) = e21 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),h2(e11)),e21) )],[refute_7_941,refute_7_1002]) ).
cnf(refute_7_1004,plain,
( h2(e10) != op2(e21,h2(e11))
| op2(e21,h2(e11)) = h2(e10) ),
inference(subst,[],[refute_7_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,h2(e11))))]]) ).
cnf(refute_7_1005,plain,
op2(e21,h2(e11)) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) )],[refute_7_263,refute_7_1004]) ).
cnf(refute_7_1006,plain,
( op2(e21,h2(e11)) != e21
| op2(e21,h2(e11)) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e11)),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_7_1007,plain,
( op2(e21,h2(e11)) != e21
| h2(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e11)),h2(e10)) )],[refute_7_1005,refute_7_1006]) ).
cnf(refute_7_1008,plain,
h2(e10) = e21,
inference(resolve,[$cnf( $equal(op2(e21,h2(e11)),e21) )],[refute_7_1003,refute_7_1007]) ).
cnf(refute_7_1009,plain,
( h2(e10) != e21
| h2(e10) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),e22) ),[0],$fot(e21)]]) ).
cnf(refute_7_1010,plain,
( h2(e10) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_7_1008,refute_7_1009]) ).
cnf(refute_7_1011,plain,
( e21 = e22
| h2(e11) = e22
| h2(e12) = e22
| definitionFOFtoCNF_51 ),
inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_7_240,refute_7_1010]) ).
cnf(refute_7_1012,plain,
h2(e12) = op2(op2(e21,op2(e21,e21)),e21),
inference(canonicalize,[],[normalize_7_124]) ).
cnf(refute_7_1013,plain,
( h2(e10) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = h2(e10) ),
inference(subst,[],[refute_7_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,op2(e21,e21))))]]) ).
cnf(refute_7_1014,plain,
op2(e21,op2(e21,e21)) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,op2(e21,e21))) )],[refute_7_256,refute_7_1013]) ).
cnf(refute_7_1015,plain,
op2(op2(e21,op2(e21,e21)),e21) = op2(op2(e21,op2(e21,e21)),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,op2(e21,e21)),e21))]]) ).
cnf(refute_7_1016,plain,
( op2(e21,op2(e21,e21)) != h2(e10)
| op2(op2(e21,op2(e21,e21)),e21) != op2(op2(e21,op2(e21,e21)),e21)
| op2(op2(e21,op2(e21,e21)),e21) = op2(h2(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),e21),op2(op2(e21,op2(e21,e21)),e21)) ),[1,0],$fot(h2(e10))]]) ).
cnf(refute_7_1017,plain,
( op2(e21,op2(e21,e21)) != h2(e10)
| op2(op2(e21,op2(e21,e21)),e21) = op2(h2(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),e21),op2(op2(e21,op2(e21,e21)),e21)) )],[refute_7_1015,refute_7_1016]) ).
cnf(refute_7_1018,plain,
op2(op2(e21,op2(e21,e21)),e21) = op2(h2(e10),e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),h2(e10)) )],[refute_7_1014,refute_7_1017]) ).
cnf(refute_7_1019,plain,
( h2(e12) != op2(op2(e21,op2(e21,e21)),e21)
| op2(op2(e21,op2(e21,e21)),e21) != op2(h2(e10),e21)
| h2(e12) = op2(h2(e10),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),op2(h2(e10),e21)) ),[0],$fot(op2(op2(e21,op2(e21,e21)),e21))]]) ).
cnf(refute_7_1020,plain,
( h2(e12) != op2(op2(e21,op2(e21,e21)),e21)
| h2(e12) = op2(h2(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),e21),op2(h2(e10),e21)) )],[refute_7_1018,refute_7_1019]) ).
cnf(refute_7_1021,plain,
h2(e12) = op2(h2(e10),e21),
inference(resolve,[$cnf( $equal(h2(e12),op2(op2(e21,op2(e21,e21)),e21)) )],[refute_7_1012,refute_7_1020]) ).
cnf(refute_7_1022,plain,
op2(h2(e10),e21) = op2(h2(e10),e21),
introduced(tautology,[refl,[$fot(op2(h2(e10),e21))]]) ).
cnf(refute_7_1023,plain,
( h2(e10) != e21
| op2(h2(e10),e21) != op2(h2(e10),e21)
| op2(h2(e10),e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e10),e21),op2(h2(e10),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_1024,plain,
( h2(e10) != e21
| op2(h2(e10),e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h2(e10),e21),op2(h2(e10),e21)) )],[refute_7_1022,refute_7_1023]) ).
cnf(refute_7_1025,plain,
op2(h2(e10),e21) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_7_1008,refute_7_1024]) ).
cnf(refute_7_1026,plain,
( op2(e21,e21) != h2(e11)
| op2(h2(e10),e21) != op2(e21,e21)
| op2(h2(e10),e21) = h2(e11) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(h2(e10),e21))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_7_1027,plain,
( op2(e21,e21) != h2(e11)
| op2(h2(e10),e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h2(e10),e21),op2(e21,e21)) )],[refute_7_1025,refute_7_1026]) ).
cnf(refute_7_1028,plain,
op2(h2(e10),e21) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_109,refute_7_1027]) ).
cnf(refute_7_1029,plain,
( h2(e12) != op2(h2(e10),e21)
| op2(h2(e10),e21) != h2(e11)
| h2(e12) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),h2(e11)) ),[0],$fot(op2(h2(e10),e21))]]) ).
cnf(refute_7_1030,plain,
( h2(e12) != op2(h2(e10),e21)
| h2(e12) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h2(e10),e21),h2(e11)) )],[refute_7_1028,refute_7_1029]) ).
cnf(refute_7_1031,plain,
h2(e12) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e12),op2(h2(e10),e21)) )],[refute_7_1021,refute_7_1030]) ).
cnf(refute_7_1032,plain,
( h2(e12) != e22
| h2(e12) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_7_1033,plain,
( h2(e12) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e12),h2(e11)) )],[refute_7_1031,refute_7_1032]) ).
cnf(refute_7_1034,plain,
( e21 = e22
| h2(e11) = e22
| definitionFOFtoCNF_51 ),
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_7_1011,refute_7_1033]) ).
cnf(refute_7_1035,plain,
( h2(e11) = e22
| definitionFOFtoCNF_51 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_7_1034,refute_7_239]) ).
cnf(refute_7_1036,plain,
( op2(h2(e11),h2(e11)) != e21
| op2(h2(e11),e22) = e21
| definitionFOFtoCNF_51 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_7_1035,refute_7_990]) ).
cnf(refute_7_1037,plain,
( op2(h2(e11),e22) = e21
| definitionFOFtoCNF_51 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),h2(e11)),e21) )],[refute_7_941,refute_7_1036]) ).
cnf(refute_7_1038,plain,
( op2(h2(e11),e22) != e21
| op2(e22,e22) = e21
| definitionFOFtoCNF_51 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_7_1035,refute_7_993]) ).
cnf(refute_7_1039,plain,
( op2(e22,e22) = e21
| definitionFOFtoCNF_51 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e22),e21) )],[refute_7_1037,refute_7_1038]) ).
cnf(refute_7_1040,plain,
( h3(e11) = e21
| definitionFOFtoCNF_51 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_7_1039,refute_7_916]) ).
cnf(refute_7_1041,plain,
( e21 != e21
| e21 = h3(e11)
| definitionFOFtoCNF_51 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_7_1040,refute_7_997]) ).
cnf(refute_7_1042,plain,
( e21 != e21
| h2(e11) = e21
| definitionFOFtoCNF_51 ),
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_7_1041,refute_7_972]) ).
cnf(refute_7_1043,plain,
( h2(e11) = e21
| definitionFOFtoCNF_51 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_538,refute_7_1042]) ).
cnf(refute_7_1044,plain,
( h2(e11) != e21
| h2(e11) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[0],$fot(e21)]]) ).
cnf(refute_7_1045,plain,
( h2(e11) != e22
| e21 = e22
| definitionFOFtoCNF_51 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_7_1043,refute_7_1044]) ).
cnf(refute_7_1046,plain,
( e21 = e22
| definitionFOFtoCNF_51 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_7_1035,refute_7_1045]) ).
cnf(refute_7_1047,plain,
definitionFOFtoCNF_51,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_7_1046,refute_7_239]) ).
cnf(refute_7_1048,plain,
e21 = h2(e11),
inference(resolve,[$cnf( definitionFOFtoCNF_51 )],[refute_7_1047,refute_7_225]) ).
cnf(refute_7_1049,plain,
h2(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_7_1048,refute_7_533]) ).
cnf(refute_7_1050,plain,
( h2(e11) != e21
| h2(e11) != op2(e21,e21)
| e21 = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_7_1051,plain,
( h2(e11) != op2(e21,e21)
| e21 = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_7_1049,refute_7_1050]) ).
cnf(refute_7_1052,plain,
e21 = op2(e21,e21),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_7_14,refute_7_1051]) ).
cnf(refute_7_1053,plain,
( e21 != op2(e21,e21)
| op2(e21,e21) = e21 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_7_1054,plain,
op2(e21,e21) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e21,e21)) )],[refute_7_1052,refute_7_1053]) ).
cnf(refute_7_1055,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(canonicalize,[],[normalize_7_125]) ).
cnf(refute_7_1056,plain,
( ~ definitionFOFtoCNF_3
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_7_825,refute_7_1055]) ).
cnf(refute_7_1057,plain,
op2(op2(e21,e23),op2(e21,e23)) = e23,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_7_940,refute_7_1056]) ).
cnf(refute_7_1058,plain,
( h4(op1(e11,e13)) != e20
| op2(e21,e23) != e20
| h4(op1(e11,e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_7_1059,plain,
( h4(op1(e11,e13)) != e20
| h4(op1(e11,e13)) = op2(e21,e23)
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_7_101,refute_7_1058]) ).
cnf(refute_7_1060,plain,
( h4(op1(e11,e13)) != e20
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_7_1059,refute_7_37]) ).
cnf(refute_7_1061,plain,
( op2(e21,e23) != e20
| op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(op2(e21,e23),e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) ),[0,1],$fot(e20)]]) ).
cnf(refute_7_1062,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e23
| op1(e11,e13) = e10
| op2(op2(e21,e23),e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_7_450,refute_7_1061]) ).
cnf(refute_7_1063,plain,
( op1(e11,e13) = e10
| op2(op2(e21,e23),e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) )],[refute_7_1057,refute_7_1062]) ).
cnf(refute_7_1064,plain,
( op2(e21,e23) != e20
| op2(op2(e21,e23),e20) != e23
| op2(e20,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e20),e23) ),[0,0],$fot(e20)]]) ).
cnf(refute_7_1065,plain,
( op2(op2(e21,e23),e20) != e23
| op1(e11,e13) = e10
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_7_450,refute_7_1064]) ).
cnf(refute_7_1066,plain,
( op1(e11,e13) = e10
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e20),e23) )],[refute_7_1063,refute_7_1065]) ).
cnf(refute_7_1067,plain,
( h1(e11) = e23
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_7_1066,refute_7_622]) ).
cnf(refute_7_1068,plain,
op1(e11,e13) = e10,
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_7_1067,refute_7_692]) ).
cnf(refute_7_1069,plain,
h4(op1(e11,e13)) = h4(op1(e11,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e13)))]]) ).
cnf(refute_7_1070,plain,
( h4(op1(e11,e13)) != h4(op1(e11,e13))
| op1(e11,e13) != e10
| h4(op1(e11,e13)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_7_1071,plain,
( op1(e11,e13) != e10
| h4(op1(e11,e13)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) )],[refute_7_1069,refute_7_1070]) ).
cnf(refute_7_1072,plain,
h4(op1(e11,e13)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_7_1068,refute_7_1071]) ).
cnf(refute_7_1073,plain,
( h4(e10) != e20
| h4(op1(e11,e13)) != h4(e10)
| h4(op1(e11,e13)) = e20 ),
inference(subst,[],[refute_7_31:[bind(X,$fot(h4(op1(e11,e13)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_7_1074,plain,
( h4(e10) != e20
| h4(op1(e11,e13)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(e10)) )],[refute_7_1072,refute_7_1073]) ).
cnf(refute_7_1075,plain,
h4(op1(e11,e13)) = e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_7_75,refute_7_1074]) ).
cnf(refute_7_1076,plain,
( e20 != e20
| h4(op1(e11,e13)) != e20
| h4(op1(e11,e13)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),e20) ),[1],$fot(e20)]]) ).
cnf(refute_7_1077,plain,
( e20 != e20
| h4(op1(e11,e13)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),e20) )],[refute_7_1075,refute_7_1076]) ).
cnf(refute_7_1078,plain,
( e20 != e20
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),e20) )],[refute_7_1077,refute_7_1060]) ).
cnf(refute_7_1079,plain,
op2(e21,e23) = e23,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_7_105,refute_7_1078]) ).
cnf(refute_7_1080,plain,
op2(e23,op2(e21,e23)) = op2(e23,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e23)))]]) ).
cnf(refute_7_1081,plain,
( op2(e21,e23) != e23
| op2(e23,op2(e21,e23)) != op2(e23,op2(e21,e23))
| op2(e23,op2(e21,e23)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e23)),op2(e23,op2(e21,e23))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_1082,plain,
( op2(e21,e23) != e23
| op2(e23,op2(e21,e23)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e23)),op2(e23,op2(e21,e23))) )],[refute_7_1080,refute_7_1081]) ).
cnf(refute_7_1083,plain,
op2(e23,op2(e21,e23)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_7_1079,refute_7_1082]) ).
cnf(refute_7_1084,plain,
op2(op2(e21,e23),op2(e21,e23)) = op2(op2(e21,e23),op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),op2(e21,e23)))]]) ).
cnf(refute_7_1085,plain,
( op2(e21,e23) != e23
| op2(op2(e21,e23),op2(e21,e23)) != op2(op2(e21,e23),op2(e21,e23))
| op2(op2(e21,e23),op2(e21,e23)) = op2(e23,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),op2(op2(e21,e23),op2(e21,e23))) ),[1,0],$fot(e23)]]) ).
cnf(refute_7_1086,plain,
( op2(e21,e23) != e23
| op2(op2(e21,e23),op2(e21,e23)) = op2(e23,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),op2(op2(e21,e23),op2(e21,e23))) )],[refute_7_1084,refute_7_1085]) ).
cnf(refute_7_1087,plain,
op2(op2(e21,e23),op2(e21,e23)) = op2(e23,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_7_1079,refute_7_1086]) ).
cnf(refute_7_1088,plain,
( op2(e23,op2(e21,e23)) != op2(e23,e23)
| op2(op2(e21,e23),op2(e21,e23)) != op2(e23,op2(e21,e23))
| op2(op2(e21,e23),op2(e21,e23)) = op2(e23,e23) ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(op2(e21,e23),op2(e21,e23)))),bind(Y,$fot(op2(e23,op2(e21,e23)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_7_1089,plain,
( op2(e23,op2(e21,e23)) != op2(e23,e23)
| op2(op2(e21,e23),op2(e21,e23)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),op2(e23,op2(e21,e23))) )],[refute_7_1087,refute_7_1088]) ).
cnf(refute_7_1090,plain,
op2(op2(e21,e23),op2(e21,e23)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e23)),op2(e23,e23)) )],[refute_7_1083,refute_7_1089]) ).
cnf(refute_7_1091,plain,
( op2(e23,e23) != e21
| op2(op2(e21,e23),op2(e21,e23)) != op2(e23,e23)
| op2(op2(e21,e23),op2(e21,e23)) = e21 ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(op2(e21,e23),op2(e21,e23)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_7_1092,plain,
( op2(e23,e23) != e21
| op2(op2(e21,e23),op2(e21,e23)) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),op2(e23,e23)) )],[refute_7_1090,refute_7_1091]) ).
cnf(refute_7_1093,plain,
op2(op2(e21,e23),op2(e21,e23)) = e21,
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_6,refute_7_1092]) ).
cnf(refute_7_1094,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e21
| op2(op2(e21,e23),op2(e21,e23)) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) ),[0],$fot(e21)]]) ).
cnf(refute_7_1095,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e21) )],[refute_7_1093,refute_7_1094]) ).
cnf(refute_7_1096,plain,
e21 = e23,
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) )],[refute_7_1057,refute_7_1095]) ).
cnf(refute_7_1097,plain,
( e21 != e23
| e23 = e21 ),
inference(subst,[],[refute_7_4:[bind(X,$fot(e21)),bind(Y,$fot(e23))]]) ).
cnf(refute_7_1098,plain,
e23 = e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_7_1096,refute_7_1097]) ).
cnf(refute_7_1099,plain,
op2(e23,e21) = op2(e23,e21),
introduced(tautology,[refl,[$fot(op2(e23,e21))]]) ).
cnf(refute_7_1100,plain,
( e23 != e21
| op2(e23,e21) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),op2(e23,e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_1101,plain,
( e23 != e21
| op2(e23,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e21)) )],[refute_7_1099,refute_7_1100]) ).
cnf(refute_7_1102,plain,
op2(e23,e21) = op2(e21,e21),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_7_1098,refute_7_1101]) ).
cnf(refute_7_1103,plain,
( op2(e21,e21) != e21
| op2(e23,e21) != op2(e21,e21)
| op2(e23,e21) = e21 ),
inference(subst,[],[refute_7_31:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(e21))]]) ).
cnf(refute_7_1104,plain,
( op2(e21,e21) != e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e21)) )],[refute_7_1102,refute_7_1103]) ).
cnf(refute_7_1105,plain,
op2(e23,e21) = e21,
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_7_1054,refute_7_1104]) ).
cnf(refute_7_1106,plain,
( e20 != op2(e23,e21)
| op2(e23,e21) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e21) ),[0],$fot(op2(e23,e21))]]) ).
cnf(refute_7_1107,plain,
( e20 != op2(e23,e21)
| e20 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_7_1105,refute_7_1106]) ).
cnf(refute_7_1108,plain,
e20 = e21,
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_7_13,refute_7_1107]) ).
cnf(refute_7_1109,plain,
( e20 != e21
| op2(e23,e21) != e20
| op2(e23,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e20) ),[1],$fot(e21)]]) ).
cnf(refute_7_1110,plain,
( e20 != e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_7_134,refute_7_1109]) ).
cnf(refute_7_1111,plain,
e20 != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_7_1110,refute_7_951]) ).
cnf(refute_7_1112,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_7_1108,refute_7_1111]) ).
fof(negate_8_0,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 )
& ( 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)) ),
inference(negate,[],[subgoal_8]) ).
fof(normalize_8_0,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_8_1,plain,
h2(e12) = op2(op2(e21,op2(e21,e21)),e21),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_2,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_3,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13 )
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_8_4,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_8_5,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13 ) ) ),
inference(simplify,[],[normalize_8_3,normalize_8_4]) ).
fof(normalize_8_6,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e10),op1(e11,e10)) = e10 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e11),op1(e11,e11)) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e12),op1(e11,e12)) = e12 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 )
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_8_5]) ).
fof(normalize_8_7,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e10),op1(e11,e10)) = e10 ),
inference(conjunct,[],[normalize_8_6]) ).
fof(normalize_8_8,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
& 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))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_8_0]) ).
fof(normalize_8_9,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_8_10,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_11,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_12,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_8_13,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_14,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
& 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))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_8_8,normalize_8_10,normalize_8_11,normalize_8_13]) ).
fof(normalize_8_15,plain,
h4(op1(e12,e10)) != op2(h4(e12),h4(e10)),
inference(conjunct,[],[normalize_8_14]) ).
fof(normalize_8_16,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_8_17,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_18,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_8_19,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_8_18]) ).
fof(normalize_8_20,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_21,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_8_18]) ).
fof(normalize_8_22,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,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) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_8_23,plain,
op1(e11,e11) != op1(e12,e11),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_24,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e11),op1(e10,e11)) = e11
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_8_4]) ).
fof(normalize_8_25,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_8_24]) ).
fof(normalize_8_26,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_27,plain,
( ( 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(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_8_28,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(conjunct,[],[normalize_8_27]) ).
fof(normalize_8_29,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_8_30,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(conjunct,[],[normalize_8_29]) ).
fof(normalize_8_31,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_8_29]) ).
fof(normalize_8_32,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_8_33,plain,
e10 != e12,
inference(conjunct,[],[normalize_8_32]) ).
fof(normalize_8_34,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_35,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_8_29]) ).
fof(normalize_8_36,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_37,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_38,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_8_24]) ).
fof(normalize_8_39,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_8_40,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_8_39]) ).
fof(normalize_8_41,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_42,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_43,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_8_39]) ).
fof(normalize_8_44,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_45,plain,
op1(e13,e11) != op1(e13,e12),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_46,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(conjunct,[],[normalize_8_27]) ).
fof(normalize_8_47,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_48,plain,
( ( 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(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_8_49,plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(conjunct,[],[normalize_8_48]) ).
fof(normalize_8_50,plain,
h3(e11) = op2(e22,e22),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_51,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,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) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_8_52,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_53,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_54,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_8_14]) ).
fof(normalize_8_55,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_56,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_8_18]) ).
fof(normalize_8_57,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_58,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_59,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_60,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_8_39]) ).
fof(normalize_8_61,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_62,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_8_39]) ).
fof(normalize_8_63,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_64,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_65,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_66,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_8_27]) ).
fof(normalize_8_67,plain,
e10 != e13,
inference(conjunct,[],[normalize_8_32]) ).
fof(normalize_8_68,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_69,plain,
op2(e21,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_70,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_71,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(conjunct,[],[normalize_8_14]) ).
fof(normalize_8_72,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_8_73,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(conjunct,[],[normalize_8_72]) ).
fof(normalize_8_74,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_75,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_76,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_77,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_78,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_79,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(conjunct,[],[normalize_8_14]) ).
fof(normalize_8_80,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_8_81,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_8_82,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_8_83,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(simplify,[],[normalize_8_81,normalize_8_82]) ).
fof(normalize_8_84,plain,
( definitionFOFtoCNF_3
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_8_80,normalize_8_83,normalize_8_82]) ).
fof(normalize_8_85,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23 ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_8_86,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_8_84,normalize_8_85]) ).
fof(normalize_8_87,plain,
( ( op2(op2(e23,e20),op2(e23,e20)) = e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e22
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_8_86]) ).
fof(normalize_8_88,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_8_87]) ).
fof(normalize_8_89,plain,
( ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e22),op2(e22,e22)) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 )
& ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_8_85]) ).
fof(normalize_8_90,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference(conjunct,[],[normalize_8_89]) ).
fof(normalize_8_91,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_92,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_8_72]) ).
fof(normalize_8_93,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_94,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e22),op2(e21,e22)) = e22 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_8_83]) ).
fof(normalize_8_95,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 ),
inference(conjunct,[],[normalize_8_94]) ).
fof(normalize_8_96,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_97,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e21),op2(e20,e21)) = e21
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_8_82]) ).
fof(normalize_8_98,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_8_97]) ).
fof(normalize_8_99,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_8_72]) ).
fof(normalize_8_100,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_101,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_102,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_8_97]) ).
fof(normalize_8_103,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_8_14]) ).
fof(normalize_8_104,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_105,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_106,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_107,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_108,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_109,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_8_48]) ).
fof(normalize_8_110,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_8_111,plain,
e20 != e22,
inference(conjunct,[],[normalize_8_110]) ).
fof(normalize_8_112,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_113,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_114,plain,
op1(e11,e11) != op1(e11,e12),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_115,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e13),op1(e12,e13)) != e13 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_8_116,plain,
( ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e11),op1(e12,e11)) = e11 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e12),op1(e12,e12)) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 )
& ( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e13),op1(e12,e13)) != e13
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_8_115]) ).
fof(normalize_8_117,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e12),op1(e12,e12)) = e12 ),
inference(conjunct,[],[normalize_8_116]) ).
fof(normalize_8_118,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_119,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 )
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_8_120,plain,
( definitionFOFtoCNF_0
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(simplify,[],[normalize_8_119,normalize_8_5,normalize_8_4]) ).
fof(normalize_8_121,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(simplify,[],[normalize_8_120,normalize_8_115]) ).
fof(normalize_8_122,plain,
( ( op1(op1(e13,e10),op1(e13,e10)) = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_8_121]) ).
fof(normalize_8_123,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_8_122]) ).
fof(normalize_8_124,plain,
op1(e10,e10) != op1(e10,e11),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_125,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_8_122]) ).
fof(normalize_8_126,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(conjunct,[],[normalize_8_39]) ).
fof(normalize_8_127,plain,
op1(e10,e11) != op1(e10,e13),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_128,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e11),op1(e12,e11)) = e11 ),
inference(conjunct,[],[normalize_8_116]) ).
fof(normalize_8_129,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(conjunct,[],[normalize_8_27]) ).
fof(normalize_8_130,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 ),
inference(conjunct,[],[normalize_8_116]) ).
fof(normalize_8_131,plain,
op1(e10,e11) != op1(e12,e11),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_132,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 ),
inference(conjunct,[],[normalize_8_116]) ).
fof(normalize_8_133,plain,
e11 != e13,
inference(conjunct,[],[normalize_8_32]) ).
fof(normalize_8_134,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(conjunct,[],[normalize_8_27]) ).
fof(normalize_8_135,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_136,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_137,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_8_39]) ).
fof(normalize_8_138,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_139,plain,
op1(e13,e10) != op1(e13,e11),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_140,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_8_27]) ).
fof(normalize_8_141,plain,
e12 != e13,
inference(conjunct,[],[normalize_8_32]) ).
fof(normalize_8_142,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_143,plain,
op1(e11,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_144,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_8_14]) ).
fof(normalize_8_145,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(conjunct,[],[normalize_8_27]) ).
fof(normalize_8_146,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_147,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_148,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(conjunct,[],[normalize_8_48]) ).
fof(normalize_8_149,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_150,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_151,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(conjunct,[],[normalize_8_72]) ).
fof(normalize_8_152,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_153,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_8_48]) ).
fof(normalize_8_154,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_155,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(conjunct,[],[normalize_8_48]) ).
fof(normalize_8_156,plain,
e21 != e23,
inference(conjunct,[],[normalize_8_110]) ).
fof(normalize_8_157,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(conjunct,[],[normalize_8_14]) ).
fof(normalize_8_158,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_159,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(conjunct,[],[normalize_8_27]) ).
fof(normalize_8_160,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(conjunct,[],[normalize_8_48]) ).
fof(normalize_8_161,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_162,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(conjunct,[],[normalize_8_27]) ).
fof(normalize_8_163,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(conjunct,[],[normalize_8_6]) ).
fof(normalize_8_164,plain,
op2(e21,e20) != op2(e21,e23),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_165,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(conjunct,[],[normalize_8_48]) ).
fof(normalize_8_166,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_167,plain,
e20 != e23,
inference(conjunct,[],[normalize_8_110]) ).
fof(normalize_8_168,plain,
e20 != e21,
inference(conjunct,[],[normalize_8_110]) ).
fof(normalize_8_169,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(conjunct,[],[normalize_8_27]) ).
fof(normalize_8_170,plain,
op1(e12,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_171,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_172,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_8_14]) ).
fof(normalize_8_173,plain,
op1(e11,e10) != op1(e11,e11),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_174,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(conjunct,[],[normalize_8_39]) ).
fof(normalize_8_175,plain,
op2(e21,e20) != op2(e21,e21),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_176,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(conjunct,[],[normalize_8_72]) ).
fof(normalize_8_177,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_178,plain,
op2(e21,e21) != op2(e21,e22),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_179,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_8_72]) ).
fof(normalize_8_180,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_8_51]) ).
fof(normalize_8_181,plain,
e22 != e23,
inference(conjunct,[],[normalize_8_110]) ).
cnf(refute_8_0,plain,
h2(e12) = op2(op2(e21,op2(e21,e21)),e21),
inference(canonicalize,[],[normalize_8_1]) ).
cnf(refute_8_1,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(canonicalize,[],[normalize_8_2]) ).
cnf(refute_8_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_8_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_8_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_8_2,refute_8_3]) ).
cnf(refute_8_5,plain,
( h2(e10) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = h2(e10) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,op2(e21,e21))))]]) ).
cnf(refute_8_6,plain,
op2(e21,op2(e21,e21)) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,op2(e21,e21))) )],[refute_8_1,refute_8_5]) ).
cnf(refute_8_7,plain,
op2(op2(e21,op2(e21,e21)),e21) = op2(op2(e21,op2(e21,e21)),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,op2(e21,e21)),e21))]]) ).
cnf(refute_8_8,plain,
( op2(e21,op2(e21,e21)) != h2(e10)
| op2(op2(e21,op2(e21,e21)),e21) != op2(op2(e21,op2(e21,e21)),e21)
| op2(op2(e21,op2(e21,e21)),e21) = op2(h2(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),e21),op2(op2(e21,op2(e21,e21)),e21)) ),[1,0],$fot(h2(e10))]]) ).
cnf(refute_8_9,plain,
( op2(e21,op2(e21,e21)) != h2(e10)
| op2(op2(e21,op2(e21,e21)),e21) = op2(h2(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),e21),op2(op2(e21,op2(e21,e21)),e21)) )],[refute_8_7,refute_8_8]) ).
cnf(refute_8_10,plain,
op2(op2(e21,op2(e21,e21)),e21) = op2(h2(e10),e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),h2(e10)) )],[refute_8_6,refute_8_9]) ).
cnf(refute_8_11,plain,
( h2(e12) != op2(op2(e21,op2(e21,e21)),e21)
| op2(op2(e21,op2(e21,e21)),e21) != op2(h2(e10),e21)
| h2(e12) = op2(h2(e10),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),op2(h2(e10),e21)) ),[0],$fot(op2(op2(e21,op2(e21,e21)),e21))]]) ).
cnf(refute_8_12,plain,
( h2(e12) != op2(op2(e21,op2(e21,e21)),e21)
| h2(e12) = op2(h2(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),e21),op2(h2(e10),e21)) )],[refute_8_10,refute_8_11]) ).
cnf(refute_8_13,plain,
h2(e12) = op2(h2(e10),e21),
inference(resolve,[$cnf( $equal(h2(e12),op2(op2(e21,op2(e21,e21)),e21)) )],[refute_8_0,refute_8_12]) ).
cnf(refute_8_14,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e10),op1(e11,e10)) = e10 ),
inference(canonicalize,[],[normalize_8_7]) ).
cnf(refute_8_15,plain,
h4(op1(e12,e10)) != op2(h4(e12),h4(e10)),
inference(canonicalize,[],[normalize_8_15]) ).
cnf(refute_8_16,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_8_17]) ).
cnf(refute_8_17,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_8_19]) ).
cnf(refute_8_18,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_8_19,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_8_17,refute_8_18]) ).
cnf(refute_8_20,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_8_21,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_8_19,refute_8_20]) ).
cnf(refute_8_22,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_8_16,refute_8_21]) ).
cnf(refute_8_23,plain,
op2(e22,h4(e10)) = op2(e22,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e10)))]]) ).
cnf(refute_8_24,plain,
( h4(e10) != e20
| op2(e22,h4(e10)) != op2(e22,h4(e10))
| op2(e22,h4(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_8_25,plain,
( h4(e10) != e20
| op2(e22,h4(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,h4(e10))) )],[refute_8_23,refute_8_24]) ).
cnf(refute_8_26,plain,
op2(e22,h4(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_22,refute_8_25]) ).
cnf(refute_8_27,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_8_20]) ).
cnf(refute_8_28,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_8_21]) ).
cnf(refute_8_29,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_8_30,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_8_31,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_8_29,refute_8_30]) ).
cnf(refute_8_32,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_8_19,refute_8_31]) ).
cnf(refute_8_33,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_8_34,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_8_32,refute_8_33]) ).
cnf(refute_8_35,plain,
e22 = op2(e20,e23),
inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),e23)) )],[refute_8_28,refute_8_34]) ).
cnf(refute_8_36,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_8_37,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_8_35,refute_8_36]) ).
cnf(refute_8_38,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_8_39,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_8_4,refute_8_38]) ).
cnf(refute_8_40,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_8_41,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_8_32,refute_8_40]) ).
cnf(refute_8_42,plain,
op2(op2(e23,op2(e23,e23)),e23) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_8_37,refute_8_41]) ).
cnf(refute_8_43,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_8_44,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),e22) )],[refute_8_42,refute_8_43]) ).
cnf(refute_8_45,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_8_27,refute_8_44]) ).
cnf(refute_8_46,plain,
op2(h4(e12),h4(e10)) = op2(h4(e12),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_8_47,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) = op2(e22,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) ),[1,0],$fot(e22)]]) ).
cnf(refute_8_48,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e10)) = op2(e22,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) )],[refute_8_46,refute_8_47]) ).
cnf(refute_8_49,plain,
op2(h4(e12),h4(e10)) = op2(e22,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_45,refute_8_48]) ).
cnf(refute_8_50,plain,
( op2(e22,h4(e10)) != op2(e22,e20)
| op2(h4(e12),h4(e10)) != op2(e22,h4(e10))
| op2(h4(e12),h4(e10)) = op2(e22,e20) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(h4(e12),h4(e10)))),bind(Y,$fot(op2(e22,h4(e10)))),bind(Z,$fot(op2(e22,e20)))]]) ).
cnf(refute_8_51,plain,
( op2(e22,h4(e10)) != op2(e22,e20)
| op2(h4(e12),h4(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e22,h4(e10))) )],[refute_8_49,refute_8_50]) ).
cnf(refute_8_52,plain,
op2(h4(e12),h4(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,e20)) )],[refute_8_26,refute_8_51]) ).
cnf(refute_8_53,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| op2(h4(e12),h4(e10)) != op2(e22,e20)
| h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_8_54,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e22,e20)) )],[refute_8_52,refute_8_53]) ).
cnf(refute_8_55,plain,
h4(op1(e12,e10)) != op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) )],[refute_8_54,refute_8_15]) ).
cnf(refute_8_56,plain,
op1(e11,e11) != op1(e12,e11),
inference(canonicalize,[],[normalize_8_23]) ).
cnf(refute_8_57,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_8_25]) ).
cnf(refute_8_58,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_8_26]) ).
cnf(refute_8_59,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(canonicalize,[],[normalize_8_28]) ).
cnf(refute_8_60,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(canonicalize,[],[normalize_8_30]) ).
cnf(refute_8_61,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_8_31]) ).
cnf(refute_8_62,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = e10 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).
cnf(refute_8_63,plain,
op1(e13,op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_8_61,refute_8_62]) ).
cnf(refute_8_64,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(op1(e13,op1(e13,e13)),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_8_65,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_8_66,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) )],[refute_8_64,refute_8_65]) ).
cnf(refute_8_67,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_8_63,refute_8_66]) ).
cnf(refute_8_68,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) != op1(e10,e13)
| e12 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e13)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_8_69,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| e12 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(e10,e13)) )],[refute_8_67,refute_8_68]) ).
cnf(refute_8_70,plain,
e12 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),e13)) )],[refute_8_60,refute_8_69]) ).
cnf(refute_8_71,plain,
( e12 != op1(e10,e13)
| op1(e10,e13) = e12 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_8_72,plain,
op1(e10,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_8_70,refute_8_71]) ).
cnf(refute_8_73,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_8_74,plain,
( op1(e10,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_8_72,refute_8_73]) ).
cnf(refute_8_75,plain,
( e12 = e10
| op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_8_59,refute_8_74]) ).
cnf(refute_8_76,plain,
e10 != e12,
inference(canonicalize,[],[normalize_8_33]) ).
cnf(refute_8_77,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_8_78,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_8_77,refute_8_76]) ).
cnf(refute_8_79,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_8_75,refute_8_78]) ).
cnf(refute_8_80,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_8_34]) ).
cnf(refute_8_81,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_8_35]) ).
cnf(refute_8_82,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_8_83,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_8_81,refute_8_82]) ).
cnf(refute_8_84,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_8_85,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_8_86,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_8_84,refute_8_85]) ).
cnf(refute_8_87,plain,
op1(e13,op1(e13,e13)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_83,refute_8_86]) ).
cnf(refute_8_88,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e11)
| e10 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_8_89,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e11)) )],[refute_8_87,refute_8_88]) ).
cnf(refute_8_90,plain,
e10 = op1(e13,e11),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_8_61,refute_8_89]) ).
cnf(refute_8_91,plain,
( e10 != op1(e13,e11)
| op1(e13,e11) = e10 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_8_92,plain,
op1(e13,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e11)) )],[refute_8_90,refute_8_91]) ).
cnf(refute_8_93,plain,
( op1(e10,e11) != e10
| op1(e13,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_8_94,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_8_92,refute_8_93]) ).
cnf(refute_8_95,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_8_94,refute_8_80]) ).
cnf(refute_8_96,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_8_79,refute_8_95]) ).
cnf(refute_8_97,plain,
( op1(e10,e12) != e10
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e10,op1(e10,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) ),[0,0],$fot(e10)]]) ).
cnf(refute_8_98,plain,
( op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e10,e10) = e10
| op1(e10,op1(e10,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_8_96,refute_8_97]) ).
cnf(refute_8_99,plain,
( op1(e10,e10) = e10
| op1(e10,op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) )],[refute_8_57,refute_8_98]) ).
cnf(refute_8_100,plain,
( op1(e10,e12) != e10
| op1(e10,op1(e10,e12)) != e12
| op1(e10,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) ),[0,1],$fot(e10)]]) ).
cnf(refute_8_101,plain,
( op1(e10,op1(e10,e12)) != e12
| op1(e10,e10) = e10
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_8_96,refute_8_100]) ).
cnf(refute_8_102,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) )],[refute_8_99,refute_8_101]) ).
cnf(refute_8_103,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_8_36]) ).
cnf(refute_8_104,plain,
( op1(e10,e10) != e12
| op1(e10,e13) != e12
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_8_105,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_8_72,refute_8_104]) ).
cnf(refute_8_106,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_8_105,refute_8_103]) ).
cnf(refute_8_107,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_8_102,refute_8_106]) ).
cnf(refute_8_108,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) != e10
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_8_109,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) = op1(e10,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_8_107,refute_8_108]) ).
cnf(refute_8_110,plain,
( e10 != op1(e10,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_8_109,refute_8_58]) ).
cnf(refute_8_111,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_8_37]) ).
cnf(refute_8_112,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_8_38]) ).
cnf(refute_8_113,plain,
op1(e12,op1(e10,e13)) = op1(e12,op1(e10,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e10,e13)))]]) ).
cnf(refute_8_114,plain,
( op1(e10,e13) != e12
| op1(e12,op1(e10,e13)) != op1(e12,op1(e10,e13))
| op1(e12,op1(e10,e13)) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_8_115,plain,
( op1(e10,e13) != e12
| op1(e12,op1(e10,e13)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) )],[refute_8_113,refute_8_114]) ).
cnf(refute_8_116,plain,
op1(e12,op1(e10,e13)) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_8_72,refute_8_115]) ).
cnf(refute_8_117,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(op1(e10,e13),op1(e10,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e10,e13),op1(e10,e13)))]]) ).
cnf(refute_8_118,plain,
( op1(e10,e13) != e12
| op1(op1(e10,e13),op1(e10,e13)) != op1(op1(e10,e13),op1(e10,e13))
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(op1(e10,e13),op1(e10,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_8_119,plain,
( op1(e10,e13) != e12
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(op1(e10,e13),op1(e10,e13))) )],[refute_8_117,refute_8_118]) ).
cnf(refute_8_120,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_8_72,refute_8_119]) ).
cnf(refute_8_121,plain,
( op1(e12,op1(e10,e13)) != op1(e12,e12)
| op1(op1(e10,e13),op1(e10,e13)) != op1(e12,op1(e10,e13))
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op1(op1(e10,e13),op1(e10,e13)))),bind(Y,$fot(op1(e12,op1(e10,e13)))),bind(Z,$fot(op1(e12,e12)))]]) ).
cnf(refute_8_122,plain,
( op1(e12,op1(e10,e13)) != op1(e12,e12)
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(e12,op1(e10,e13))) )],[refute_8_120,refute_8_121]) ).
cnf(refute_8_123,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,e12)) )],[refute_8_116,refute_8_122]) ).
cnf(refute_8_124,plain,
( op1(op1(e10,e13),op1(e10,e13)) != e13
| op1(op1(e10,e13),op1(e10,e13)) != op1(e12,e12)
| op1(e12,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),e13) ),[0],$fot(op1(e12,e12))]]) ).
cnf(refute_8_125,plain,
( op1(op1(e10,e13),op1(e10,e13)) != e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(e12,e12)) )],[refute_8_123,refute_8_124]) ).
cnf(refute_8_126,plain,
( op1(e12,e12) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),e13) )],[refute_8_112,refute_8_125]) ).
cnf(refute_8_127,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_8_128,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_126,refute_8_127]) ).
cnf(refute_8_129,plain,
( op1(e10,e12) != e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_8_128,refute_8_111]) ).
cnf(refute_8_130,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_8_40]) ).
cnf(refute_8_131,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_8_41]) ).
cnf(refute_8_132,plain,
( op1(e10,e12) != e12
| op1(e10,e13) != e12
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_8_133,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_8_72,refute_8_132]) ).
cnf(refute_8_134,plain,
op1(e10,e12) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_8_133,refute_8_131]) ).
cnf(refute_8_135,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_8_130,refute_8_134]) ).
cnf(refute_8_136,plain,
( e13 != e13
| op1(e10,e12) != e13
| op1(e10,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e13) ),[1],$fot(e13)]]) ).
cnf(refute_8_137,plain,
( e13 != e13
| op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_8_135,refute_8_136]) ).
cnf(refute_8_138,plain,
( e13 != e13
| op1(e10,e12) = e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_8_137,refute_8_129]) ).
cnf(refute_8_139,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_8_140,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_8_139,refute_8_138]) ).
cnf(refute_8_141,plain,
( e10 != e10
| op1(e10,e12) != e10
| e10 = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e10,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_8_142,plain,
( e10 != e10
| e10 = op1(e10,e12)
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_8_140,refute_8_141]) ).
cnf(refute_8_143,plain,
( e10 != e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,op1(e10,e12)) )],[refute_8_142,refute_8_110]) ).
cnf(refute_8_144,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_8_145,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_8_144,refute_8_143]) ).
cnf(refute_8_146,plain,
( op1(e10,e12) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e11,op1(e10,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_147,plain,
( op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e11,op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_8_145,refute_8_146]) ).
cnf(refute_8_148,plain,
( op1(e11,op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) )],[refute_8_57,refute_8_147]) ).
cnf(refute_8_149,plain,
( op1(e10,e12) != e11
| op1(e11,op1(e10,e12)) != e12
| op1(e11,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e10,e12)),e12) ),[0,1],$fot(e11)]]) ).
cnf(refute_8_150,plain,
( op1(e11,op1(e10,e12)) != e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_8_145,refute_8_149]) ).
cnf(refute_8_151,plain,
( op1(e11,e11) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e10,e12)),e12) )],[refute_8_148,refute_8_150]) ).
cnf(refute_8_152,plain,
( e12 != op1(e12,e11)
| op1(e11,e11) != e12
| op1(e11,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_8_153,plain,
( e12 != op1(e12,e11)
| op1(e11,e11) = op1(e12,e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_8_151,refute_8_152]) ).
cnf(refute_8_154,plain,
( e12 != op1(e12,e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e12,e11)) )],[refute_8_153,refute_8_56]) ).
cnf(refute_8_155,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_8_42]) ).
cnf(refute_8_156,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_8_157,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_126,refute_8_156]) ).
cnf(refute_8_158,plain,
( e13 != op1(e13,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_8_157,refute_8_155]) ).
cnf(refute_8_159,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_8_43]) ).
cnf(refute_8_160,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_8_44]) ).
cnf(refute_8_161,plain,
( op1(e13,e12) != e11
| op1(e13,e13) != e11
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_8_162,plain,
( op1(e13,e12) != e11
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_83,refute_8_161]) ).
cnf(refute_8_163,plain,
op1(e13,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_8_162,refute_8_160]) ).
cnf(refute_8_164,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_8_159,refute_8_163]) ).
cnf(refute_8_165,plain,
op1(e13,e11) != op1(e13,e12),
inference(canonicalize,[],[normalize_8_45]) ).
cnf(refute_8_166,plain,
( e10 != op1(e13,e12)
| op1(e13,e11) != e10
| op1(e13,e11) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e10) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_8_167,plain,
( e10 != op1(e13,e12)
| op1(e13,e11) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_8_92,refute_8_166]) ).
cnf(refute_8_168,plain,
e10 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e12)) )],[refute_8_167,refute_8_165]) ).
cnf(refute_8_169,plain,
( op1(e13,e12) != e10
| e10 = op1(e13,e12) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e10))]]) ).
cnf(refute_8_170,plain,
op1(e13,e12) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_8_169,refute_8_168]) ).
cnf(refute_8_171,plain,
( op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_8_164,refute_8_170]) ).
cnf(refute_8_172,plain,
( e13 != e13
| op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_8_173,plain,
( e13 != e13
| e13 = op1(e13,e12)
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_8_171,refute_8_172]) ).
cnf(refute_8_174,plain,
( e13 != e13
| op1(e13,e12) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_8_173,refute_8_158]) ).
cnf(refute_8_175,plain,
( op1(e13,e12) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_8_139,refute_8_174]) ).
cnf(refute_8_176,plain,
( op1(e12,e12) != e12
| op1(e13,e12) != e12
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e13,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_8_177,plain,
( op1(e12,e12) != e12
| op1(e12,e12) = op1(e13,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_8_175,refute_8_176]) ).
cnf(refute_8_178,plain,
( op1(e12,e12) != e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_8_177,refute_8_155]) ).
cnf(refute_8_179,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(canonicalize,[],[normalize_8_46]) ).
cnf(refute_8_180,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_8_47]) ).
cnf(refute_8_181,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_8_182,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_8_72,refute_8_181]) ).
cnf(refute_8_183,plain,
e12 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_8_182,refute_8_180]) ).
cnf(refute_8_184,plain,
( op1(e12,e13) != e12
| e12 = op1(e12,e13) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_8_185,plain,
op1(e12,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_8_184,refute_8_183]) ).
cnf(refute_8_186,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_8_179,refute_8_185]) ).
cnf(refute_8_187,plain,
( e12 != e12
| op1(e12,e12) != e12
| op1(e12,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[0,0],$fot(e12)]]) ).
cnf(refute_8_188,plain,
( e12 != e12
| op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_8_186,refute_8_187]) ).
cnf(refute_8_189,plain,
( e12 != e12
| op1(e12,e10) = e12
| op1(e12,e11) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_8_188,refute_8_178]) ).
cnf(refute_8_190,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_8_191,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_8_190,refute_8_189]) ).
cnf(refute_8_192,plain,
( e12 != e12
| op1(e12,e11) != e12
| e12 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e12,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_8_193,plain,
( e12 != e12
| e12 = op1(e12,e11)
| op1(e12,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_8_191,refute_8_192]) ).
cnf(refute_8_194,plain,
( e12 != e12
| op1(e12,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e12,op1(e12,e11)) )],[refute_8_193,refute_8_154]) ).
cnf(refute_8_195,plain,
( op1(e12,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_8_190,refute_8_194]) ).
cnf(refute_8_196,plain,
( h4(e12) != op2(e22,e20)
| op1(e12,e10) != e12
| h4(op1(e12,e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e22,e20)) ),[0,0],$fot(e12)]]) ).
cnf(refute_8_197,plain,
( h4(e12) != op2(e22,e20)
| h4(op1(e12,e10)) = op2(e22,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_8_195,refute_8_196]) ).
cnf(refute_8_198,plain,
( h4(e12) != op2(e22,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e22,e20)) )],[refute_8_197,refute_8_55]) ).
cnf(refute_8_199,plain,
( e22 != op2(e22,e20)
| h4(e12) != e22
| h4(e12) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_8_200,plain,
( e22 != op2(e22,e20)
| h4(e12) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_45,refute_8_199]) ).
cnf(refute_8_201,plain,
( e22 != op2(e22,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e22,e20)) )],[refute_8_200,refute_8_198]) ).
cnf(refute_8_202,plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(canonicalize,[],[normalize_8_49]) ).
cnf(refute_8_203,plain,
h3(e11) = op2(e22,e22),
inference(canonicalize,[],[normalize_8_50]) ).
cnf(refute_8_204,plain,
( h3(e11) != op2(e22,e22)
| op2(e22,e22) = h3(e11) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_8_205,plain,
op2(e22,e22) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_8_203,refute_8_204]) ).
cnf(refute_8_206,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_8_207,plain,
( op2(e22,e22) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_8_205,refute_8_206]) ).
cnf(refute_8_208,plain,
( h3(e11) = e22
| op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_8_202,refute_8_207]) ).
cnf(refute_8_209,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_8_52]) ).
cnf(refute_8_210,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_8_211,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_8_37,refute_8_210]) ).
cnf(refute_8_212,plain,
e22 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_8_211,refute_8_209]) ).
cnf(refute_8_213,plain,
( op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_8_214,plain,
op2(e22,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_8_213,refute_8_212]) ).
cnf(refute_8_215,plain,
( h3(e11) = e22
| op2(e22,e20) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_8_208,refute_8_214]) ).
cnf(refute_8_216,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_8_53]) ).
cnf(refute_8_217,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_8_54]) ).
cnf(refute_8_218,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_8_55]) ).
cnf(refute_8_219,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_8_56]) ).
cnf(refute_8_220,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_8_221,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_8_219,refute_8_220]) ).
cnf(refute_8_222,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_8_223,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_221,refute_8_222]) ).
cnf(refute_8_224,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_8_218,refute_8_223]) ).
cnf(refute_8_225,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_8_226,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) != op2(e20,h4(e11))
| op2(e20,h4(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_227,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_8_225,refute_8_226]) ).
cnf(refute_8_228,plain,
op2(e20,h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_224,refute_8_227]) ).
cnf(refute_8_229,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_8_230,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_8_231,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_8_229,refute_8_230]) ).
cnf(refute_8_232,plain,
op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_22,refute_8_231]) ).
cnf(refute_8_233,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_8_234,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_8_232,refute_8_233]) ).
cnf(refute_8_235,plain,
op2(h4(e10),h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_8_228,refute_8_234]) ).
cnf(refute_8_236,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_8_237,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_8_235,refute_8_236]) ).
cnf(refute_8_238,plain,
h4(op1(e10,e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_8_217,refute_8_237]) ).
cnf(refute_8_239,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_8_57]) ).
cnf(refute_8_240,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_8_58]) ).
cnf(refute_8_241,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_8_59]) ).
cnf(refute_8_242,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_8_243,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_126,refute_8_242]) ).
cnf(refute_8_244,plain,
( e13 != op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_8_243,refute_8_241]) ).
cnf(refute_8_245,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_8_60]) ).
cnf(refute_8_246,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_8_61]) ).
cnf(refute_8_247,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_8_248,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_83,refute_8_247]) ).
cnf(refute_8_249,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_8_248,refute_8_246]) ).
cnf(refute_8_250,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_8_245,refute_8_249]) ).
cnf(refute_8_251,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_8_250,refute_8_185]) ).
cnf(refute_8_252,plain,
( e13 != e13
| op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_8_253,plain,
( e13 != e13
| e13 = op1(e12,e13)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_8_251,refute_8_252]) ).
cnf(refute_8_254,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_8_253,refute_8_244]) ).
cnf(refute_8_255,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_8_139,refute_8_254]) ).
cnf(refute_8_256,plain,
( op1(e11,e13) != e10
| op1(e12,e13) != e10
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_8_257,plain,
( op1(e11,e13) != e10
| op1(e11,e13) = op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_8_255,refute_8_256]) ).
cnf(refute_8_258,plain,
( op1(e11,e13) != e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_8_257,refute_8_240]) ).
cnf(refute_8_259,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_8_62]) ).
cnf(refute_8_260,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_8_63]) ).
cnf(refute_8_261,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_8_262,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_83,refute_8_261]) ).
cnf(refute_8_263,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_8_262,refute_8_260]) ).
cnf(refute_8_264,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_8_259,refute_8_263]) ).
cnf(refute_8_265,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_8_64]) ).
cnf(refute_8_266,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_8_267,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_8_72,refute_8_266]) ).
cnf(refute_8_268,plain,
e12 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_8_267,refute_8_265]) ).
cnf(refute_8_269,plain,
( op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_8_270,plain,
op1(e11,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_8_269,refute_8_268]) ).
cnf(refute_8_271,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_8_264,refute_8_270]) ).
cnf(refute_8_272,plain,
( e10 != e10
| op1(e11,e13) != e10
| op1(e11,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e10) ),[1],$fot(e10)]]) ).
cnf(refute_8_273,plain,
( e10 != e10
| op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_8_271,refute_8_272]) ).
cnf(refute_8_274,plain,
( e10 != e10
| op1(e11,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_8_273,refute_8_258]) ).
cnf(refute_8_275,plain,
( op1(e11,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_8_144,refute_8_274]) ).
cnf(refute_8_276,plain,
( op1(e11,e11) != e13
| op1(e11,e13) != e13
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_8_277,plain,
( op1(e11,e11) != e13
| op1(e11,e11) = op1(e11,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_8_275,refute_8_276]) ).
cnf(refute_8_278,plain,
( op1(e11,e11) != e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_8_277,refute_8_239]) ).
cnf(refute_8_279,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_8_65]) ).
cnf(refute_8_280,plain,
( op1(e12,e11) != e13
| op1(e12,e12) != e13
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_8_281,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e12,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_126,refute_8_280]) ).
cnf(refute_8_282,plain,
( op1(e12,e11) != e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_8_281,refute_8_279]) ).
cnf(refute_8_283,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_8_66]) ).
cnf(refute_8_284,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).
cnf(refute_8_285,plain,
( op1(e13,e11) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_8_92,refute_8_284]) ).
cnf(refute_8_286,plain,
( e10 = e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_8_283,refute_8_285]) ).
cnf(refute_8_287,plain,
e10 != e13,
inference(canonicalize,[],[normalize_8_67]) ).
cnf(refute_8_288,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_8_286,refute_8_287]) ).
cnf(refute_8_289,plain,
( e13 != e13
| op1(e12,e11) != e13
| op1(e12,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_8_290,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_8_288,refute_8_289]) ).
cnf(refute_8_291,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_8_290,refute_8_282]) ).
cnf(refute_8_292,plain,
( e13 != e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_8_291,refute_8_278]) ).
cnf(refute_8_293,plain,
( op1(e10,e11) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_8_139,refute_8_292]) ).
cnf(refute_8_294,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op1(e10,e11) != e13
| h4(e13) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0,0],$fot(e13)]]) ).
cnf(refute_8_295,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(e13) = op2(e20,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_8_293,refute_8_294]) ).
cnf(refute_8_296,plain,
( h4(e13) = op2(e20,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_8_238,refute_8_295]) ).
cnf(refute_8_297,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_8_68]) ).
cnf(refute_8_298,plain,
( h4(e13) != e23
| h4(e13) != op2(e20,e21)
| e23 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e20,e21)) ),[0],$fot(e23)]]) ).
cnf(refute_8_299,plain,
( h4(e13) != op2(e20,e21)
| e23 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_8_297,refute_8_298]) ).
cnf(refute_8_300,plain,
( e23 = op2(e20,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e21)) )],[refute_8_296,refute_8_299]) ).
cnf(refute_8_301,plain,
( e23 != op2(e20,e21)
| op2(e20,e21) = e23 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_8_302,plain,
( op2(e20,e21) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_8_300,refute_8_301]) ).
cnf(refute_8_303,plain,
( e23 != op2(e22,e21)
| op2(e20,e21) != e23
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_8_304,plain,
( e23 != op2(e22,e21)
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_8_302,refute_8_303]) ).
cnf(refute_8_305,plain,
( e23 != op2(e22,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_8_304,refute_8_216]) ).
cnf(refute_8_306,plain,
op2(e21,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_8_69]) ).
cnf(refute_8_307,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_8_70]) ).
cnf(refute_8_308,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_8_309,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_8_307,refute_8_308]) ).
cnf(refute_8_310,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_8_311,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_309,refute_8_310]) ).
cnf(refute_8_312,plain,
h2(e11) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_8_311,refute_8_306]) ).
cnf(refute_8_313,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(canonicalize,[],[normalize_8_71]) ).
cnf(refute_8_314,plain,
op2(e21,h4(e11)) = op2(e21,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e11)))]]) ).
cnf(refute_8_315,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) != op2(e21,h4(e11))
| op2(e21,h4(e11)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_316,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) )],[refute_8_314,refute_8_315]) ).
cnf(refute_8_317,plain,
op2(e21,h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_224,refute_8_316]) ).
cnf(refute_8_318,plain,
op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_8_319,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_320,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_8_318,refute_8_319]) ).
cnf(refute_8_321,plain,
op2(h4(e11),h4(e11)) = op2(e21,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_224,refute_8_320]) ).
cnf(refute_8_322,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) != op2(e21,h4(e11))
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,h4(e11)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_8_323,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,h4(e11))) )],[refute_8_321,refute_8_322]) ).
cnf(refute_8_324,plain,
op2(h4(e11),h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,e21)) )],[refute_8_317,refute_8_323]) ).
cnf(refute_8_325,plain,
( op2(e21,e21) != h2(e11)
| op2(h4(e11),h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_8_326,plain,
( op2(e21,e21) != h2(e11)
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,e21)) )],[refute_8_324,refute_8_325]) ).
cnf(refute_8_327,plain,
op2(h4(e11),h4(e11)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_309,refute_8_326]) ).
cnf(refute_8_328,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) != h2(e11)
| h4(op1(e11,e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_8_329,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_8_327,refute_8_328]) ).
cnf(refute_8_330,plain,
h4(op1(e11,e11)) = h2(e11),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_8_313,refute_8_329]) ).
cnf(refute_8_331,plain,
( h4(op1(e11,e11)) != h2(e11)
| op1(e11,e11) != e12
| h4(e12) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e12)]]) ).
cnf(refute_8_332,plain,
( h4(op1(e11,e11)) != h2(e11)
| h4(e12) = h2(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_8_151,refute_8_331]) ).
cnf(refute_8_333,plain,
( h4(e12) = h2(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_8_330,refute_8_332]) ).
cnf(refute_8_334,plain,
( h4(e12) != e22
| h4(e12) != h2(e11)
| e22 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h2(e11)) ),[0],$fot(e22)]]) ).
cnf(refute_8_335,plain,
( h4(e12) != h2(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_45,refute_8_334]) ).
cnf(refute_8_336,plain,
( e22 = h2(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e12),h2(e11)) )],[refute_8_333,refute_8_335]) ).
cnf(refute_8_337,plain,
( e22 != h2(e11)
| h2(e11) = e22 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e22)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_8_338,plain,
( h2(e11) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e22,h2(e11)) )],[refute_8_336,refute_8_337]) ).
cnf(refute_8_339,plain,
( e22 != op2(e22,e21)
| h2(e11) != e22
| h2(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_8_340,plain,
( e22 != op2(e22,e21)
| h2(e11) = op2(e22,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_8_338,refute_8_339]) ).
cnf(refute_8_341,plain,
( e22 != op2(e22,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e21)) )],[refute_8_340,refute_8_312]) ).
cnf(refute_8_342,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(canonicalize,[],[normalize_8_73]) ).
cnf(refute_8_343,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_8_74]) ).
cnf(refute_8_344,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_8_345,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_346,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_8_344,refute_8_345]) ).
cnf(refute_8_347,plain,
op2(e23,op2(e23,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_221,refute_8_346]) ).
cnf(refute_8_348,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e21)
| e20 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_8_349,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e21)) )],[refute_8_347,refute_8_348]) ).
cnf(refute_8_350,plain,
e20 = op2(e23,e21),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_8_17,refute_8_349]) ).
cnf(refute_8_351,plain,
( e20 != op2(e23,e21)
| op2(e23,e21) = e20 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_8_352,plain,
op2(e23,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_8_350,refute_8_351]) ).
cnf(refute_8_353,plain,
( op2(e22,e21) != e20
| op2(e23,e21) != e20
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_8_354,plain,
( op2(e22,e21) != e20
| op2(e22,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_8_352,refute_8_353]) ).
cnf(refute_8_355,plain,
op2(e22,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_8_354,refute_8_343]) ).
cnf(refute_8_356,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_8_342,refute_8_355]) ).
cnf(refute_8_357,plain,
( e22 != e22
| op2(e22,e21) != e22
| e22 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_8_358,plain,
( e22 != e22
| e22 = op2(e22,e21)
| op2(e22,e21) = e21
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_8_356,refute_8_357]) ).
cnf(refute_8_359,plain,
( e22 != e22
| op2(e22,e21) = e21
| op2(e22,e21) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e21)) )],[refute_8_358,refute_8_341]) ).
cnf(refute_8_360,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_8_361,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_8_360,refute_8_359]) ).
cnf(refute_8_362,plain,
( e23 != e23
| op2(e22,e21) != e23
| e23 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_8_363,plain,
( e23 != e23
| e23 = op2(e22,e21)
| op2(e22,e21) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_8_361,refute_8_362]) ).
cnf(refute_8_364,plain,
( e23 != e23
| op2(e22,e21) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e21)) )],[refute_8_363,refute_8_305]) ).
cnf(refute_8_365,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_8_366,plain,
( op2(e22,e21) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_365,refute_8_364]) ).
cnf(refute_8_367,plain,
( op2(e22,e21) != e21
| op2(e22,e21) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[0],$fot(e21)]]) ).
cnf(refute_8_368,plain,
( op2(e22,e21) != e22
| e21 = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_8_366,refute_8_367]) ).
cnf(refute_8_369,plain,
( e21 = e22
| h3(e11) = e22
| op2(e22,e20) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_8_215,refute_8_368]) ).
cnf(refute_8_370,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_8_75]) ).
cnf(refute_8_371,plain,
( e22 != op2(e23,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_8_372,plain,
( e22 != op2(e23,e23)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_8_37,refute_8_371]) ).
cnf(refute_8_373,plain,
( e22 != e21
| op2(e23,e23) != e21
| e22 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_8_374,plain,
( e22 != e21
| e22 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_221,refute_8_373]) ).
cnf(refute_8_375,plain,
( e22 != e21
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_8_374,refute_8_372]) ).
cnf(refute_8_376,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_8_375,refute_8_370]) ).
cnf(refute_8_377,plain,
( e21 != e22
| e22 = e21 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e21)),bind(Y,$fot(e22))]]) ).
cnf(refute_8_378,plain,
e21 != e22,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_8_377,refute_8_376]) ).
cnf(refute_8_379,plain,
( h3(e11) = e22
| op2(e22,e20) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_8_369,refute_8_378]) ).
cnf(refute_8_380,plain,
( e22 != e22
| op2(e22,e20) != e22
| e22 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_8_381,plain,
( e22 != e22
| e22 = op2(e22,e20)
| h3(e11) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_8_379,refute_8_380]) ).
cnf(refute_8_382,plain,
( e22 != e22
| h3(e11) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e20)) )],[refute_8_381,refute_8_201]) ).
cnf(refute_8_383,plain,
( h3(e11) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_8_360,refute_8_382]) ).
cnf(refute_8_384,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_8_76]) ).
cnf(refute_8_385,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_8_77]) ).
cnf(refute_8_386,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_8_387,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_8_385,refute_8_386]) ).
cnf(refute_8_388,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_8_389,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_8_387,refute_8_388]) ).
cnf(refute_8_390,plain,
h1(e11) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_8_389,refute_8_384]) ).
cnf(refute_8_391,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_8_78]) ).
cnf(refute_8_392,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_8_393,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_309,refute_8_392]) ).
cnf(refute_8_394,plain,
h2(e11) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_8_393,refute_8_391]) ).
cnf(refute_8_395,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(canonicalize,[],[normalize_8_79]) ).
cnf(refute_8_396,plain,
op2(e21,h4(e13)) = op2(e21,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_8_397,plain,
( h4(e13) != e23
| op2(e21,h4(e13)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_8_398,plain,
( h4(e13) != e23
| op2(e21,h4(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_8_396,refute_8_397]) ).
cnf(refute_8_399,plain,
op2(e21,h4(e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_8_297,refute_8_398]) ).
cnf(refute_8_400,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_8_401,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_402,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) )],[refute_8_400,refute_8_401]) ).
cnf(refute_8_403,plain,
op2(h4(e11),h4(e13)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_224,refute_8_402]) ).
cnf(refute_8_404,plain,
( op2(e21,h4(e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) != op2(e21,h4(e13))
| op2(h4(e11),h4(e13)) = op2(e21,e23) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(e21,h4(e13)))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_8_405,plain,
( op2(e21,h4(e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,h4(e13))) )],[refute_8_403,refute_8_404]) ).
cnf(refute_8_406,plain,
op2(h4(e11),h4(e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e23)) )],[refute_8_399,refute_8_405]) ).
cnf(refute_8_407,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) != op2(e21,e23)
| h4(op1(e11,e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0],$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_8_408,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,e23)) )],[refute_8_406,refute_8_407]) ).
cnf(refute_8_409,plain,
h4(op1(e11,e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_8_395,refute_8_408]) ).
cnf(refute_8_410,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| op1(e11,e13) != e13
| h4(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0,0],$fot(e13)]]) ).
cnf(refute_8_411,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| h4(e13) = op2(e21,e23)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_8_275,refute_8_410]) ).
cnf(refute_8_412,plain,
( h4(e13) = op2(e21,e23)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_8_409,refute_8_411]) ).
cnf(refute_8_413,plain,
( h4(e13) != e23
| h4(e13) != op2(e21,e23)
| e23 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e21,e23)) ),[0],$fot(e23)]]) ).
cnf(refute_8_414,plain,
( h4(e13) != op2(e21,e23)
| e23 = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_8_297,refute_8_413]) ).
cnf(refute_8_415,plain,
( e23 = op2(e21,e23)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,e23)) )],[refute_8_412,refute_8_414]) ).
cnf(refute_8_416,plain,
( e23 != op2(e21,e23)
| op2(e21,e23) = e23 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_8_417,plain,
( op2(e21,e23) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e23)) )],[refute_8_415,refute_8_416]) ).
cnf(refute_8_418,plain,
( h2(e11) != e23
| op2(e21,e23) != e23
| h2(e11) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_8_419,plain,
( h2(e11) != e23
| h2(e11) = op2(e21,e23)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_8_417,refute_8_418]) ).
cnf(refute_8_420,plain,
( h2(e11) != e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e23)) )],[refute_8_419,refute_8_394]) ).
cnf(refute_8_421,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_8_88]) ).
cnf(refute_8_422,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_8_423,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_424,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_8_422,refute_8_423]) ).
cnf(refute_8_425,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_221,refute_8_424]) ).
cnf(refute_8_426,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_8_427,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_428,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_8_426,refute_8_427]) ).
cnf(refute_8_429,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_221,refute_8_428]) ).
cnf(refute_8_430,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_8_431,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_8_429,refute_8_430]) ).
cnf(refute_8_432,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_8_425,refute_8_431]) ).
cnf(refute_8_433,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_8_434,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_8_432,refute_8_433]) ).
cnf(refute_8_435,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_309,refute_8_434]) ).
cnf(refute_8_436,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_8_437,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_8_435,refute_8_436]) ).
cnf(refute_8_438,plain,
( h2(e11) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) )],[refute_8_421,refute_8_437]) ).
cnf(refute_8_439,plain,
( e23 != e23
| h2(e11) != e23
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_8_440,plain,
( e23 != e23
| h2(e11) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_8_438,refute_8_439]) ).
cnf(refute_8_441,plain,
( e23 != e23
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_8_440,refute_8_420]) ).
cnf(refute_8_442,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_365,refute_8_441]) ).
cnf(refute_8_443,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference(canonicalize,[],[normalize_8_90]) ).
cnf(refute_8_444,plain,
( op2(op2(e22,e23),op2(e22,e23)) = e23
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_8_442,refute_8_443]) ).
cnf(refute_8_445,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_8_91]) ).
cnf(refute_8_446,plain,
( e23 != op2(e22,e23)
| op2(e21,e23) != e23
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_8_447,plain,
( e23 != op2(e22,e23)
| op2(e21,e23) = op2(e22,e23)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_8_417,refute_8_446]) ).
cnf(refute_8_448,plain,
( e23 != op2(e22,e23)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_8_447,refute_8_445]) ).
cnf(refute_8_449,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_8_92]) ).
cnf(refute_8_450,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_8_93]) ).
cnf(refute_8_451,plain,
( op2(e22,e23) != e21
| op2(e23,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_8_452,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_221,refute_8_451]) ).
cnf(refute_8_453,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_8_452,refute_8_450]) ).
cnf(refute_8_454,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_8_449,refute_8_453]) ).
cnf(refute_8_455,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_8_454,refute_8_214]) ).
cnf(refute_8_456,plain,
( e23 != e23
| op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_8_457,plain,
( e23 != e23
| e23 = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_8_455,refute_8_456]) ).
cnf(refute_8_458,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_8_457,refute_8_448]) ).
cnf(refute_8_459,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_365,refute_8_458]) ).
cnf(refute_8_460,plain,
( op2(e22,e23) != e20
| op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(op2(e22,e23),e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) ),[0,1],$fot(e20)]]) ).
cnf(refute_8_461,plain,
( op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(op2(e22,e23),e20) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_8_459,refute_8_460]) ).
cnf(refute_8_462,plain,
( op2(op2(e22,e23),e20) = e23
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) )],[refute_8_444,refute_8_461]) ).
cnf(refute_8_463,plain,
( op2(e22,e23) != e20
| op2(op2(e22,e23),e20) != e23
| op2(e20,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e20),e23) ),[0,0],$fot(e20)]]) ).
cnf(refute_8_464,plain,
( op2(op2(e22,e23),e20) != e23
| op2(e20,e20) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_8_459,refute_8_463]) ).
cnf(refute_8_465,plain,
( op2(e20,e20) = e23
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),e23) )],[refute_8_462,refute_8_464]) ).
cnf(refute_8_466,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_8_467,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_8_387,refute_8_466]) ).
cnf(refute_8_468,plain,
( h1(e11) = e23
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_8_465,refute_8_467]) ).
cnf(refute_8_469,plain,
( e23 != op2(e20,e21)
| h1(e11) != e23
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_8_470,plain,
( e23 != op2(e20,e21)
| h1(e11) = op2(e20,e21)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_8_468,refute_8_469]) ).
cnf(refute_8_471,plain,
( e23 != op2(e20,e21)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_8_470,refute_8_390]) ).
cnf(refute_8_472,plain,
( e23 != e23
| op2(e20,e21) != e23
| e23 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e20,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_8_473,plain,
( e23 != e23
| e23 = op2(e20,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_8_302,refute_8_472]) ).
cnf(refute_8_474,plain,
( e23 != e23
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_8_473,refute_8_471]) ).
cnf(refute_8_475,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_365,refute_8_474]) ).
cnf(refute_8_476,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 ),
inference(canonicalize,[],[normalize_8_95]) ).
cnf(refute_8_477,plain,
op2(h2(e11),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e11),op2(e21,e21)))]]) ).
cnf(refute_8_478,plain,
( op2(e21,e21) != h2(e11)
| op2(h2(e11),op2(e21,e21)) != op2(h2(e11),op2(e21,e21))
| op2(h2(e11),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),op2(e21,e21)),op2(h2(e11),op2(e21,e21))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_8_479,plain,
( op2(e21,e21) != h2(e11)
| op2(h2(e11),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),op2(e21,e21)),op2(h2(e11),op2(e21,e21))) )],[refute_8_477,refute_8_478]) ).
cnf(refute_8_480,plain,
op2(h2(e11),op2(e21,e21)) = op2(h2(e11),h2(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_309,refute_8_479]) ).
cnf(refute_8_481,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_8_482,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e11))]]) ).
cnf(refute_8_483,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_8_481,refute_8_482]) ).
cnf(refute_8_484,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_309,refute_8_483]) ).
cnf(refute_8_485,plain,
( op2(h2(e11),op2(e21,e21)) != op2(h2(e11),h2(e11))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e11),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e11),op2(e21,e21)))),bind(Z,$fot(op2(h2(e11),h2(e11))))]]) ).
cnf(refute_8_486,plain,
( op2(h2(e11),op2(e21,e21)) != op2(h2(e11),h2(e11))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e11),op2(e21,e21))) )],[refute_8_484,refute_8_485]) ).
cnf(refute_8_487,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),h2(e11)),
inference(resolve,[$cnf( $equal(op2(h2(e11),op2(e21,e21)),op2(h2(e11),h2(e11))) )],[refute_8_480,refute_8_486]) ).
cnf(refute_8_488,plain,
( op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e11),h2(e11))
| op2(h2(e11),h2(e11)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),e21) ),[0],$fot(op2(h2(e11),h2(e11)))]]) ).
cnf(refute_8_489,plain,
( op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(h2(e11),h2(e11)) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e11),h2(e11))) )],[refute_8_487,refute_8_488]) ).
cnf(refute_8_490,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(h2(e11),h2(e11)) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),e21) )],[refute_8_476,refute_8_489]) ).
cnf(refute_8_491,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_8_96]) ).
cnf(refute_8_492,plain,
( h3(e11) != op2(e23,e22)
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_8_493,plain,
( h3(e11) != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_8_205,refute_8_492]) ).
cnf(refute_8_494,plain,
h3(e11) != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_8_493,refute_8_491]) ).
cnf(refute_8_495,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_8_98]) ).
cnf(refute_8_496,plain,
op2(e22,op2(e20,e23)) = op2(e22,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e20,e23)))]]) ).
cnf(refute_8_497,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_8_498,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_8_496,refute_8_497]) ).
cnf(refute_8_499,plain,
op2(e22,op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_8_37,refute_8_498]) ).
cnf(refute_8_500,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(op2(e20,e23),op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),op2(e20,e23)))]]) ).
cnf(refute_8_501,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) != op2(op2(e20,e23),op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) ),[1,0],$fot(e22)]]) ).
cnf(refute_8_502,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) )],[refute_8_500,refute_8_501]) ).
cnf(refute_8_503,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_8_37,refute_8_502]) ).
cnf(refute_8_504,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,op2(e20,e23)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_8_505,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_8_503,refute_8_504]) ).
cnf(refute_8_506,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,e22)) )],[refute_8_499,refute_8_505]) ).
cnf(refute_8_507,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_8_508,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,e22)) )],[refute_8_506,refute_8_507]) ).
cnf(refute_8_509,plain,
op2(op2(e20,e23),op2(e20,e23)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_8_205,refute_8_508]) ).
cnf(refute_8_510,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| op2(op2(e20,e23),op2(e20,e23)) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_8_511,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),h3(e11)) )],[refute_8_509,refute_8_510]) ).
cnf(refute_8_512,plain,
( h3(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) )],[refute_8_495,refute_8_511]) ).
cnf(refute_8_513,plain,
( e23 != op2(e23,e22)
| h3(e11) != e23
| h3(e11) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_8_514,plain,
( e23 != op2(e23,e22)
| h3(e11) = op2(e23,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_8_512,refute_8_513]) ).
cnf(refute_8_515,plain,
( e23 != op2(e23,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,e22)) )],[refute_8_514,refute_8_494]) ).
cnf(refute_8_516,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_8_99]) ).
cnf(refute_8_517,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_8_100]) ).
cnf(refute_8_518,plain,
( op2(e23,e22) != e21
| op2(e23,e23) != e21
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_8_519,plain,
( op2(e23,e22) != e21
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_221,refute_8_518]) ).
cnf(refute_8_520,plain,
op2(e23,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_8_519,refute_8_517]) ).
cnf(refute_8_521,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_8_516,refute_8_520]) ).
cnf(refute_8_522,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_8_101]) ).
cnf(refute_8_523,plain,
( e20 != op2(e23,e22)
| op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e20) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_8_524,plain,
( e20 != op2(e23,e22)
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_8_352,refute_8_523]) ).
cnf(refute_8_525,plain,
e20 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_8_524,refute_8_522]) ).
cnf(refute_8_526,plain,
( op2(e23,e22) != e20
| e20 = op2(e23,e22) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e20))]]) ).
cnf(refute_8_527,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_8_526,refute_8_525]) ).
cnf(refute_8_528,plain,
( op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_8_521,refute_8_527]) ).
cnf(refute_8_529,plain,
( e23 != e23
| op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_8_530,plain,
( e23 != e23
| e23 = op2(e23,e22)
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_8_528,refute_8_529]) ).
cnf(refute_8_531,plain,
( e23 != e23
| op2(e23,e22) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_8_530,refute_8_515]) ).
cnf(refute_8_532,plain,
( op2(e23,e22) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_365,refute_8_531]) ).
cnf(refute_8_533,plain,
( h3(e11) != e22
| op2(e23,e22) != e22
| h3(e11) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e23,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_8_534,plain,
( h3(e11) != e22
| h3(e11) = op2(e23,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_8_532,refute_8_533]) ).
cnf(refute_8_535,plain,
( h3(e11) != e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,e22)) )],[refute_8_534,refute_8_494]) ).
cnf(refute_8_536,plain,
( h2(e11) != e22
| op2(e22,e21) != e22
| h2(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e22,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_8_537,plain,
( h2(e11) != e22
| h2(e11) = op2(e22,e21)
| h3(e11) = e22
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_8_215,refute_8_536]) ).
cnf(refute_8_538,plain,
( h2(e11) != e22
| h3(e11) = e22
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e21)) )],[refute_8_537,refute_8_312]) ).
cnf(refute_8_539,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_8_102]) ).
cnf(refute_8_540,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_8_103]) ).
cnf(refute_8_541,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_8_542,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) != op2(e20,h4(e12))
| op2(e20,h4(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_8_543,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_8_541,refute_8_542]) ).
cnf(refute_8_544,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_45,refute_8_543]) ).
cnf(refute_8_545,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_8_546,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_8_547,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_8_545,refute_8_546]) ).
cnf(refute_8_548,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_22,refute_8_547]) ).
cnf(refute_8_549,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_8_550,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_8_548,refute_8_549]) ).
cnf(refute_8_551,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_8_544,refute_8_550]) ).
cnf(refute_8_552,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_8_553,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_8_551,refute_8_552]) ).
cnf(refute_8_554,plain,
h4(op1(e10,e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_8_540,refute_8_553]) ).
cnf(refute_8_555,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_8_104]) ).
cnf(refute_8_556,plain,
( op2(e20,e22) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_8_557,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_8_205,refute_8_556]) ).
cnf(refute_8_558,plain,
op2(e20,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_8_557,refute_8_555]) ).
cnf(refute_8_559,plain,
( h3(e11) != e23
| op2(e20,e22) != e23
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h3(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_8_560,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = h3(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_8_512,refute_8_559]) ).
cnf(refute_8_561,plain,
( op2(e20,e22) != e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_8_560,refute_8_558]) ).
cnf(refute_8_562,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e13
| h4(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e13)]]) ).
cnf(refute_8_563,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e13) = op2(e20,e22)
| op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_8_135,refute_8_562]) ).
cnf(refute_8_564,plain,
( h4(e13) = op2(e20,e22)
| op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_8_554,refute_8_563]) ).
cnf(refute_8_565,plain,
( h4(e13) != e23
| h4(e13) != op2(e20,e22)
| e23 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e20,e22)) ),[0],$fot(e23)]]) ).
cnf(refute_8_566,plain,
( h4(e13) != op2(e20,e22)
| e23 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_8_297,refute_8_565]) ).
cnf(refute_8_567,plain,
( e23 = op2(e20,e22)
| op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e22)) )],[refute_8_564,refute_8_566]) ).
cnf(refute_8_568,plain,
( e23 != op2(e20,e22)
| op2(e20,e22) = e23 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_8_569,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e22)) )],[refute_8_567,refute_8_568]) ).
cnf(refute_8_570,plain,
( e23 != e23
| op2(e20,e22) != e23
| op2(e20,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_8_571,plain,
( e23 != e23
| op1(e10,e12) = e10
| op1(e10,e12) = e11
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_8_569,refute_8_570]) ).
cnf(refute_8_572,plain,
( e23 != e23
| op1(e10,e12) = e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_8_571,refute_8_561]) ).
cnf(refute_8_573,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_365,refute_8_572]) ).
cnf(refute_8_574,plain,
( op1(e10,e10) != e10
| op1(e10,e12) != e10
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_8_575,plain,
( op1(e10,e10) != e10
| op1(e10,e10) = op1(e10,e12)
| op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_8_573,refute_8_574]) ).
cnf(refute_8_576,plain,
( op1(e10,e10) != e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_8_575,refute_8_58]) ).
cnf(refute_8_577,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_8_105]) ).
cnf(refute_8_578,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_8_579,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_8_387,refute_8_578]) ).
cnf(refute_8_580,plain,
h1(e11) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_8_579,refute_8_577]) ).
cnf(refute_8_581,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_8_106]) ).
cnf(refute_8_582,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_8_107]) ).
cnf(refute_8_583,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = h3(e10) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_8_584,plain,
op2(e22,op2(e22,e22)) = h3(e10),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_8_582,refute_8_583]) ).
cnf(refute_8_585,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_8_586,plain,
( op2(e22,op2(e22,e22)) != h3(e10)
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(h3(e10))]]) ).
cnf(refute_8_587,plain,
( op2(e22,op2(e22,e22)) != h3(e10)
| op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_8_585,refute_8_586]) ).
cnf(refute_8_588,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),h3(e10)) )],[refute_8_584,refute_8_587]) ).
cnf(refute_8_589,plain,
( h3(e12) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != op2(h3(e10),e22)
| h3(e12) = op2(h3(e10),e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(h3(e10),e22)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_8_590,plain,
( h3(e12) != op2(op2(e22,op2(e22,e22)),e22)
| h3(e12) = op2(h3(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(h3(e10),e22)) )],[refute_8_588,refute_8_589]) ).
cnf(refute_8_591,plain,
h3(e12) = op2(h3(e10),e22),
inference(resolve,[$cnf( $equal(h3(e12),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_8_581,refute_8_590]) ).
cnf(refute_8_592,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_8_108]) ).
cnf(refute_8_593,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_8_594,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_8_205,refute_8_593]) ).
cnf(refute_8_595,plain,
h3(e11) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_8_594,refute_8_592]) ).
cnf(refute_8_596,plain,
( e23 != op2(e22,e23)
| h3(e11) != e23
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_8_597,plain,
( e23 != op2(e22,e23)
| h3(e11) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_8_512,refute_8_596]) ).
cnf(refute_8_598,plain,
( e23 != op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_8_597,refute_8_595]) ).
cnf(refute_8_599,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_8_457,refute_8_598]) ).
cnf(refute_8_600,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_365,refute_8_599]) ).
cnf(refute_8_601,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_8_602,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_8_603,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_8_601,refute_8_602]) ).
cnf(refute_8_604,plain,
op2(e22,op2(e22,e22)) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_8_205,refute_8_603]) ).
cnf(refute_8_605,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) != op2(e22,h3(e11))
| h3(e10) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),op2(e22,h3(e11))) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_8_606,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| h3(e10) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h3(e11))) )],[refute_8_604,refute_8_605]) ).
cnf(refute_8_607,plain,
h3(e10) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_8_582,refute_8_606]) ).
cnf(refute_8_608,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e11) != e23
| h3(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_8_609,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e10) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_8_512,refute_8_608]) ).
cnf(refute_8_610,plain,
( h3(e10) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) )],[refute_8_607,refute_8_609]) ).
cnf(refute_8_611,plain,
( h3(e10) != op2(e22,e23)
| op2(e22,e23) = h3(e10) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_8_612,plain,
( op2(e22,e23) = h3(e10)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e23)) )],[refute_8_610,refute_8_611]) ).
cnf(refute_8_613,plain,
( op2(e22,e23) != e20
| op2(e22,e23) != h3(e10)
| h3(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e20) ),[0],$fot(h3(e10))]]) ).
cnf(refute_8_614,plain,
( op2(e22,e23) != e20
| h3(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),h3(e10)) )],[refute_8_612,refute_8_613]) ).
cnf(refute_8_615,plain,
( h3(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_8_600,refute_8_614]) ).
cnf(refute_8_616,plain,
( h3(e10) != e20
| h3(e12) != op2(h3(e10),e22)
| h3(e12) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e12),op2(h3(e10),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_8_617,plain,
( h3(e12) != op2(h3(e10),e22)
| h3(e12) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_8_615,refute_8_616]) ).
cnf(refute_8_618,plain,
( h3(e12) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(h3(e10),e22)) )],[refute_8_591,refute_8_617]) ).
cnf(refute_8_619,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) = h3(e12) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_8_620,plain,
( op2(e20,e22) = h3(e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_8_618,refute_8_619]) ).
cnf(refute_8_621,plain,
( op2(e20,e22) != h3(e12)
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(h3(e12),op2(e20,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) ),[0,0],$fot(h3(e12))]]) ).
cnf(refute_8_622,plain,
( op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(h3(e12),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e12)) )],[refute_8_620,refute_8_621]) ).
cnf(refute_8_623,plain,
( op2(h3(e12),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) )],[refute_8_539,refute_8_622]) ).
cnf(refute_8_624,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_8_109]) ).
cnf(refute_8_625,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_8_626,plain,
( op2(e20,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_8_387,refute_8_625]) ).
cnf(refute_8_627,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_8_624,refute_8_626]) ).
cnf(refute_8_628,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_8_629,plain,
( op2(e20,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_8_37,refute_8_628]) ).
cnf(refute_8_630,plain,
( e22 = e20
| h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_8_627,refute_8_629]) ).
cnf(refute_8_631,plain,
e20 != e22,
inference(canonicalize,[],[normalize_8_111]) ).
cnf(refute_8_632,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_8_633,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_8_632,refute_8_631]) ).
cnf(refute_8_634,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_8_630,refute_8_633]) ).
cnf(refute_8_635,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_8_112]) ).
cnf(refute_8_636,plain,
( op2(e20,e21) != e20
| op2(e23,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_8_637,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_8_352,refute_8_636]) ).
cnf(refute_8_638,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_8_637,refute_8_635]) ).
cnf(refute_8_639,plain,
( h1(e11) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_8_634,refute_8_638]) ).
cnf(refute_8_640,plain,
( op2(e20,e22) != e20
| op2(h3(e12),op2(e20,e22)) != e22
| op2(h3(e12),e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),op2(e20,e22)),e22) ),[0,1],$fot(e20)]]) ).
cnf(refute_8_641,plain,
( op2(h3(e12),op2(e20,e22)) != e22
| h1(e11) = e20
| op2(h3(e12),e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_8_639,refute_8_640]) ).
cnf(refute_8_642,plain,
( h1(e11) = e20
| op2(h3(e12),e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(h3(e12),op2(e20,e22)),e22) )],[refute_8_623,refute_8_641]) ).
cnf(refute_8_643,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) != e20
| h3(e12) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),e20) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_8_644,plain,
( h3(e12) != op2(e20,e22)
| h1(e11) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_8_639,refute_8_643]) ).
cnf(refute_8_645,plain,
( h1(e11) = e20
| h3(e12) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_8_618,refute_8_644]) ).
cnf(refute_8_646,plain,
( h3(e12) != e20
| op2(h3(e12),e20) != e22
| op2(e20,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),e20),e22) ),[0,0],$fot(e20)]]) ).
cnf(refute_8_647,plain,
( op2(h3(e12),e20) != e22
| h1(e11) = e20
| op2(e20,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),e20) )],[refute_8_645,refute_8_646]) ).
cnf(refute_8_648,plain,
( h1(e11) = e20
| op2(e20,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(h3(e12),e20),e22) )],[refute_8_642,refute_8_647]) ).
cnf(refute_8_649,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_8_650,plain,
( op2(e20,e20) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_8_387,refute_8_649]) ).
cnf(refute_8_651,plain,
( h1(e11) = e20
| h1(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_8_648,refute_8_650]) ).
cnf(refute_8_652,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_8_113]) ).
cnf(refute_8_653,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_8_654,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_8_387,refute_8_653]) ).
cnf(refute_8_655,plain,
( h1(e11) != e22
| op2(e20,e23) != e22
| h1(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_8_656,plain,
( h1(e11) != e22
| h1(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_8_37,refute_8_655]) ).
cnf(refute_8_657,plain,
( h1(e11) != e22
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e23)) )],[refute_8_656,refute_8_654]) ).
cnf(refute_8_658,plain,
h1(e11) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_8_657,refute_8_652]) ).
cnf(refute_8_659,plain,
( h1(e11) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_8_651,refute_8_658]) ).
cnf(refute_8_660,plain,
( e20 != op2(e20,e22)
| h1(e11) != e20
| h1(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_8_661,plain,
( e20 != op2(e20,e22)
| h1(e11) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_8_659,refute_8_660]) ).
cnf(refute_8_662,plain,
( e20 != op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_8_661,refute_8_580]) ).
cnf(refute_8_663,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e10
| h4(e10) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e10)]]) ).
cnf(refute_8_664,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e10) = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_8_96,refute_8_663]) ).
cnf(refute_8_665,plain,
( h4(e10) = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_8_554,refute_8_664]) ).
cnf(refute_8_666,plain,
( h4(e10) != e20
| h4(e10) != op2(e20,e22)
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e20,e22)) ),[0],$fot(e20)]]) ).
cnf(refute_8_667,plain,
( h4(e10) != op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_22,refute_8_666]) ).
cnf(refute_8_668,plain,
( e20 = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e22)) )],[refute_8_665,refute_8_667]) ).
cnf(refute_8_669,plain,
( e20 != op2(e20,e22)
| op2(e20,e22) = e20 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_8_670,plain,
( op1(e10,e10) = e10
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_8_668,refute_8_669]) ).
cnf(refute_8_671,plain,
( e20 != e20
| op2(e20,e22) != e20
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_8_672,plain,
( e20 != e20
| e20 = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_8_670,refute_8_671]) ).
cnf(refute_8_673,plain,
( e20 != e20
| op1(e10,e10) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_8_672,refute_8_662]) ).
cnf(refute_8_674,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_8_675,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_8_674,refute_8_673]) ).
cnf(refute_8_676,plain,
( e10 != e10
| op1(e10,e10) != e10
| op1(e10,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_8_677,plain,
( e10 != e10
| op1(e10,e10) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_8_675,refute_8_676]) ).
cnf(refute_8_678,plain,
( e10 != e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_8_677,refute_8_576]) ).
cnf(refute_8_679,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_8_144,refute_8_678]) ).
cnf(refute_8_680,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e11
| h4(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_681,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e11) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_8_679,refute_8_680]) ).
cnf(refute_8_682,plain,
( h4(e11) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_8_554,refute_8_681]) ).
cnf(refute_8_683,plain,
( h4(e11) != e21
| h4(e11) != op2(e20,e22)
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e20,e22)) ),[0],$fot(e21)]]) ).
cnf(refute_8_684,plain,
( h4(e11) != op2(e20,e22)
| e21 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_224,refute_8_683]) ).
cnf(refute_8_685,plain,
( e21 = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e22)) )],[refute_8_682,refute_8_684]) ).
cnf(refute_8_686,plain,
( e21 != op2(e20,e22)
| op2(e20,e22) = e21 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_8_687,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_8_685,refute_8_686]) ).
cnf(refute_8_688,plain,
( op2(e20,e22) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(e21,op2(e20,e22)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) ),[0,0],$fot(e21)]]) ).
cnf(refute_8_689,plain,
( op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(e21,op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_8_687,refute_8_688]) ).
cnf(refute_8_690,plain,
( op2(e21,op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) )],[refute_8_539,refute_8_689]) ).
cnf(refute_8_691,plain,
( op2(e20,e22) != e21
| op2(e21,op2(e20,e22)) != e22
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e20,e22)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_8_692,plain,
( op2(e21,op2(e20,e22)) != e22
| op2(e21,e21) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_8_687,refute_8_691]) ).
cnf(refute_8_693,plain,
( op2(e21,e21) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e22)),e22) )],[refute_8_690,refute_8_692]) ).
cnf(refute_8_694,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_8_695,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_309,refute_8_694]) ).
cnf(refute_8_696,plain,
( h2(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_8_693,refute_8_695]) ).
cnf(refute_8_697,plain,
( e22 != e22
| h2(e11) != e22
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[1],$fot(e22)]]) ).
cnf(refute_8_698,plain,
( e22 != e22
| h2(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_8_696,refute_8_697]) ).
cnf(refute_8_699,plain,
( e22 != e22
| h3(e11) = e22
| op2(e22,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_8_698,refute_8_538]) ).
cnf(refute_8_700,plain,
( h3(e11) = e22
| op2(e22,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_8_360,refute_8_699]) ).
cnf(refute_8_701,plain,
( e22 != e22
| e22 = op2(e22,e20)
| h3(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_8_700,refute_8_380]) ).
cnf(refute_8_702,plain,
( e22 != e22
| h3(e11) = e22
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e20)) )],[refute_8_701,refute_8_201]) ).
cnf(refute_8_703,plain,
( e22 != e22
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_8_702,refute_8_535]) ).
cnf(refute_8_704,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_8_360,refute_8_703]) ).
cnf(refute_8_705,plain,
( ~ definitionFOFtoCNF_3
| op2(h2(e11),h2(e11)) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_8_704,refute_8_490]) ).
cnf(refute_8_706,plain,
( op2(h2(e11),h2(e11)) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_8_475,refute_8_705]) ).
cnf(refute_8_707,plain,
( h2(e11) != e22
| op2(h2(e11),h2(e11)) != e21
| op2(h2(e11),e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),h2(e11)),e21) ),[0,1],$fot(e22)]]) ).
cnf(refute_8_708,plain,
( op2(h2(e11),h2(e11)) != e21
| op2(h2(e11),e22) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_8_338,refute_8_707]) ).
cnf(refute_8_709,plain,
( op2(h2(e11),e22) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),h2(e11)),e21) )],[refute_8_706,refute_8_708]) ).
cnf(refute_8_710,plain,
( h2(e11) != e22
| op2(h2(e11),e22) != e21
| op2(e22,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e22),e21) ),[0,0],$fot(e22)]]) ).
cnf(refute_8_711,plain,
( op2(h2(e11),e22) != e21
| op2(e22,e22) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_8_338,refute_8_710]) ).
cnf(refute_8_712,plain,
( op2(e22,e22) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e22),e21) )],[refute_8_709,refute_8_711]) ).
cnf(refute_8_713,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_8_714,plain,
( op2(e22,e22) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_8_205,refute_8_713]) ).
cnf(refute_8_715,plain,
( h3(e11) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_8_712,refute_8_714]) ).
cnf(refute_8_716,plain,
( h3(e11) != e21
| h3(e11) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[0],$fot(e21)]]) ).
cnf(refute_8_717,plain,
( h3(e11) != e22
| e21 = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_8_715,refute_8_716]) ).
cnf(refute_8_718,plain,
( e21 = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_8_383,refute_8_717]) ).
cnf(refute_8_719,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_8_718,refute_8_378]) ).
cnf(refute_8_720,plain,
( ~ definitionFOFtoCNF_0
| op1(op1(e11,e10),op1(e11,e10)) = e10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_8_719,refute_8_14]) ).
cnf(refute_8_721,plain,
op1(e11,e11) != op1(e11,e12),
inference(canonicalize,[],[normalize_8_114]) ).
cnf(refute_8_722,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e12),op1(e12,e12)) = e12 ),
inference(canonicalize,[],[normalize_8_117]) ).
cnf(refute_8_723,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_8_118]) ).
cnf(refute_8_724,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_8_123]) ).
cnf(refute_8_725,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_8_726,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_8_727,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_8_725,refute_8_726]) ).
cnf(refute_8_728,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_83,refute_8_727]) ).
cnf(refute_8_729,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_8_730,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_8_731,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_8_729,refute_8_730]) ).
cnf(refute_8_732,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_83,refute_8_731]) ).
cnf(refute_8_733,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_8_734,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_8_732,refute_8_733]) ).
cnf(refute_8_735,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_8_728,refute_8_734]) ).
cnf(refute_8_736,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e13
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| op1(e11,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e13) ),[0],$fot(op1(e11,e11))]]) ).
cnf(refute_8_737,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_8_735,refute_8_736]) ).
cnf(refute_8_738,plain,
( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e13) )],[refute_8_724,refute_8_737]) ).
cnf(refute_8_739,plain,
( op1(e10,e11) != e13
| op1(e11,e11) != e13
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_8_740,plain,
( op1(e10,e11) != e13
| op1(e10,e11) = op1(e11,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_8_738,refute_8_739]) ).
cnf(refute_8_741,plain,
( op1(e10,e11) != e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_8_740,refute_8_723]) ).
cnf(refute_8_742,plain,
op1(e10,e10) != op1(e10,e11),
inference(canonicalize,[],[normalize_8_124]) ).
cnf(refute_8_743,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_8_125]) ).
cnf(refute_8_744,plain,
op1(e10,op1(e13,e11)) = op1(e10,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e11)))]]) ).
cnf(refute_8_745,plain,
( op1(e10,op1(e13,e11)) != op1(e10,op1(e13,e11))
| op1(e13,e11) != e10
| op1(e10,op1(e13,e11)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,op1(e13,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_8_746,plain,
( op1(e13,e11) != e10
| op1(e10,op1(e13,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,op1(e13,e11))) )],[refute_8_744,refute_8_745]) ).
cnf(refute_8_747,plain,
op1(e10,op1(e13,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_8_92,refute_8_746]) ).
cnf(refute_8_748,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(op1(e13,e11),op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e11),op1(e13,e11)))]]) ).
cnf(refute_8_749,plain,
( op1(e13,e11) != e10
| op1(op1(e13,e11),op1(e13,e11)) != op1(op1(e13,e11),op1(e13,e11))
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(op1(e13,e11),op1(e13,e11))) ),[1,0],$fot(e10)]]) ).
cnf(refute_8_750,plain,
( op1(e13,e11) != e10
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(op1(e13,e11),op1(e13,e11))) )],[refute_8_748,refute_8_749]) ).
cnf(refute_8_751,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_8_92,refute_8_750]) ).
cnf(refute_8_752,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e10)
| op1(op1(e13,e11),op1(e13,e11)) != op1(e10,op1(e13,e11))
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op1(op1(e13,e11),op1(e13,e11)))),bind(Y,$fot(op1(e10,op1(e13,e11)))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_8_753,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e10)
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(e10,op1(e13,e11))) )],[refute_8_751,refute_8_752]) ).
cnf(refute_8_754,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,e10)) )],[refute_8_747,refute_8_753]) ).
cnf(refute_8_755,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| op1(op1(e13,e11),op1(e13,e11)) != op1(e10,e10)
| op1(e10,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),e11) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_8_756,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(e10,e10)) )],[refute_8_754,refute_8_755]) ).
cnf(refute_8_757,plain,
( op1(e10,e10) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),e11) )],[refute_8_743,refute_8_756]) ).
cnf(refute_8_758,plain,
( e11 != op1(e10,e11)
| op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e10,e11))]]) ).
cnf(refute_8_759,plain,
( e11 != op1(e10,e11)
| op1(e10,e10) = op1(e10,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_8_757,refute_8_758]) ).
cnf(refute_8_760,plain,
( e11 != op1(e10,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_8_759,refute_8_742]) ).
cnf(refute_8_761,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(canonicalize,[],[normalize_8_126]) ).
cnf(refute_8_762,plain,
op1(e10,e11) != op1(e10,e13),
inference(canonicalize,[],[normalize_8_127]) ).
cnf(refute_8_763,plain,
( op1(e10,e11) != e12
| op1(e10,e13) != e12
| op1(e10,e11) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_8_764,plain,
( op1(e10,e11) != e12
| op1(e10,e11) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_8_72,refute_8_763]) ).
cnf(refute_8_765,plain,
op1(e10,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_8_764,refute_8_762]) ).
cnf(refute_8_766,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_8_761,refute_8_765]) ).
cnf(refute_8_767,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_8_766,refute_8_95]) ).
cnf(refute_8_768,plain,
( e11 != e11
| op1(e10,e11) != e11
| e11 = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_8_769,plain,
( e11 != e11
| e11 = op1(e10,e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_8_767,refute_8_768]) ).
cnf(refute_8_770,plain,
( e11 != e11
| op1(e10,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e11,op1(e10,e11)) )],[refute_8_769,refute_8_760]) ).
cnf(refute_8_771,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_8_772,plain,
( op1(e10,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_8_771,refute_8_770]) ).
cnf(refute_8_773,plain,
( e13 != e13
| op1(e10,e11) != e13
| op1(e10,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_8_774,plain,
( e13 != e13
| op1(e10,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_8_772,refute_8_773]) ).
cnf(refute_8_775,plain,
( e13 != e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_8_774,refute_8_741]) ).
cnf(refute_8_776,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_8_139,refute_8_775]) ).
cnf(refute_8_777,plain,
( op1(op1(e12,e12),op1(e12,e12)) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_8_776,refute_8_722]) ).
cnf(refute_8_778,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e11),op1(e12,e11)) = e11 ),
inference(canonicalize,[],[normalize_8_128]) ).
cnf(refute_8_779,plain,
( op1(op1(e12,e11),op1(e12,e11)) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_8_776,refute_8_778]) ).
cnf(refute_8_780,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(canonicalize,[],[normalize_8_129]) ).
cnf(refute_8_781,plain,
( op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_8_780,refute_8_765]) ).
cnf(refute_8_782,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_8_783,plain,
( op1(e13,e11) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_8_92,refute_8_782]) ).
cnf(refute_8_784,plain,
( e10 = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_8_781,refute_8_783]) ).
cnf(refute_8_785,plain,
( op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_8_784,refute_8_76]) ).
cnf(refute_8_786,plain,
( op1(e12,e11) != e12
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(e12,op1(e12,e11)) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),op1(e12,e11)),e11) ),[0,0],$fot(e12)]]) ).
cnf(refute_8_787,plain,
( op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(e11,e11) = e12
| op1(e12,op1(e12,e11)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_8_785,refute_8_786]) ).
cnf(refute_8_788,plain,
( op1(e11,e11) = e12
| op1(e12,op1(e12,e11)) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),op1(e12,e11)),e11) )],[refute_8_779,refute_8_787]) ).
cnf(refute_8_789,plain,
( op1(e12,e11) != e12
| op1(e12,op1(e12,e11)) != e11
| op1(e12,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e11)),e11) ),[0,1],$fot(e12)]]) ).
cnf(refute_8_790,plain,
( op1(e12,op1(e12,e11)) != e11
| op1(e11,e11) = e12
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_8_785,refute_8_789]) ).
cnf(refute_8_791,plain,
( op1(e11,e11) = e12
| op1(e12,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e11)),e11) )],[refute_8_788,refute_8_790]) ).
cnf(refute_8_792,plain,
( op1(e12,e12) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(e11,op1(e12,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e12) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_793,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(e11,e11) = e12
| op1(e11,op1(e12,e12)) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_8_791,refute_8_792]) ).
cnf(refute_8_794,plain,
( op1(e11,e11) = e12
| op1(e11,op1(e12,e12)) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e12) )],[refute_8_777,refute_8_793]) ).
cnf(refute_8_795,plain,
( op1(e11,op1(e12,e12)) != e12
| op1(e12,e12) != e11
| op1(e11,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e12)),e12) ),[0,1],$fot(e11)]]) ).
cnf(refute_8_796,plain,
( op1(e11,op1(e12,e12)) != e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_8_791,refute_8_795]) ).
cnf(refute_8_797,plain,
( op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),e12) )],[refute_8_794,refute_8_796]) ).
cnf(refute_8_798,plain,
( e12 != op1(e11,e12)
| op1(e11,e11) != e12
| op1(e11,e11) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_8_799,plain,
( e12 != op1(e11,e12)
| op1(e11,e11) = op1(e11,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_8_797,refute_8_798]) ).
cnf(refute_8_800,plain,
( e12 != op1(e11,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e12)) )],[refute_8_799,refute_8_721]) ).
cnf(refute_8_801,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 ),
inference(canonicalize,[],[normalize_8_130]) ).
cnf(refute_8_802,plain,
( op1(op1(e12,e10),op1(e12,e10)) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_8_776,refute_8_801]) ).
cnf(refute_8_803,plain,
op1(e10,e11) != op1(e12,e11),
inference(canonicalize,[],[normalize_8_131]) ).
cnf(refute_8_804,plain,
( op1(e10,e10) != e13
| op1(e10,e11) != e13
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_8_805,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = op1(e10,e11)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_8_767,refute_8_804]) ).
cnf(refute_8_806,plain,
( op1(e10,e10) != e13
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_8_805,refute_8_742]) ).
cnf(refute_8_807,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 ),
inference(canonicalize,[],[normalize_8_132]) ).
cnf(refute_8_808,plain,
( op1(op1(e12,e13),op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_8_776,refute_8_807]) ).
cnf(refute_8_809,plain,
( op1(e12,e13) != e13
| op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(op1(e12,e13),e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_8_810,plain,
( op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e12,e13) = e10
| op1(op1(e12,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_8_251,refute_8_809]) ).
cnf(refute_8_811,plain,
( op1(e12,e13) = e10
| op1(op1(e12,e13),e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) )],[refute_8_808,refute_8_810]) ).
cnf(refute_8_812,plain,
( op1(e12,e13) != e13
| op1(op1(e12,e13),e13) != e13
| op1(e13,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_8_813,plain,
( op1(op1(e12,e13),e13) != e13
| op1(e12,e13) = e10
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_8_251,refute_8_812]) ).
cnf(refute_8_814,plain,
( op1(e12,e13) = e10
| op1(e13,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),e13) )],[refute_8_811,refute_8_813]) ).
cnf(refute_8_815,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_8_816,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_83,refute_8_815]) ).
cnf(refute_8_817,plain,
( e11 = e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_8_814,refute_8_816]) ).
cnf(refute_8_818,plain,
e11 != e13,
inference(canonicalize,[],[normalize_8_133]) ).
cnf(refute_8_819,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_8_817,refute_8_818]) ).
cnf(refute_8_820,plain,
( op1(e12,e13) != e10
| op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e10,op1(e12,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) ),[0,0],$fot(e10)]]) ).
cnf(refute_8_821,plain,
( op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e10,op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_8_819,refute_8_820]) ).
cnf(refute_8_822,plain,
( op1(e10,op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) )],[refute_8_808,refute_8_821]) ).
cnf(refute_8_823,plain,
( op1(e10,op1(e12,e13)) != e13
| op1(e12,e13) != e10
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e13)),e13) ),[0,1],$fot(e10)]]) ).
cnf(refute_8_824,plain,
( op1(e10,op1(e12,e13)) != e13
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_8_819,refute_8_823]) ).
cnf(refute_8_825,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e13)),e13) )],[refute_8_822,refute_8_824]) ).
cnf(refute_8_826,plain,
( e13 != e13
| op1(e10,e10) != e13
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(e13)]]) ).
cnf(refute_8_827,plain,
( e13 != e13
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_8_825,refute_8_826]) ).
cnf(refute_8_828,plain,
( e13 != e13
| op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_8_827,refute_8_806]) ).
cnf(refute_8_829,plain,
( op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_8_139,refute_8_828]) ).
cnf(refute_8_830,plain,
( e11 != op1(e12,e11)
| op1(e10,e11) != e11
| op1(e10,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_8_831,plain,
( e11 != op1(e12,e11)
| op1(e10,e11) = op1(e12,e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_8_829,refute_8_830]) ).
cnf(refute_8_832,plain,
( e11 != op1(e12,e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e11)) )],[refute_8_831,refute_8_803]) ).
cnf(refute_8_833,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(canonicalize,[],[normalize_8_134]) ).
cnf(refute_8_834,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_8_833,refute_8_249]) ).
cnf(refute_8_835,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_8_135]) ).
cnf(refute_8_836,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_8_136]) ).
cnf(refute_8_837,plain,
( e13 != op1(e13,e10)
| op1(e10,e10) != e13
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(op1(e13,e10))]]) ).
cnf(refute_8_838,plain,
( e13 != op1(e13,e10)
| op1(e10,e10) = op1(e13,e10)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_8_825,refute_8_837]) ).
cnf(refute_8_839,plain,
( e13 != op1(e13,e10)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_8_838,refute_8_836]) ).
cnf(refute_8_840,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_8_137]) ).
cnf(refute_8_841,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_8_138]) ).
cnf(refute_8_842,plain,
( op1(e13,e10) != e11
| op1(e13,e13) != e11
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_8_843,plain,
( op1(e13,e10) != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_83,refute_8_842]) ).
cnf(refute_8_844,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_8_843,refute_8_841]) ).
cnf(refute_8_845,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_8_840,refute_8_844]) ).
cnf(refute_8_846,plain,
op1(e13,e10) != op1(e13,e11),
inference(canonicalize,[],[normalize_8_139]) ).
cnf(refute_8_847,plain,
( op1(e13,e10) != e10
| op1(e13,e11) != e10
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_8_848,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_8_92,refute_8_847]) ).
cnf(refute_8_849,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_8_848,refute_8_846]) ).
cnf(refute_8_850,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_8_845,refute_8_849]) ).
cnf(refute_8_851,plain,
( e13 != e13
| op1(e13,e10) != e13
| e13 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_8_852,plain,
( e13 != e13
| e13 = op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_8_850,refute_8_851]) ).
cnf(refute_8_853,plain,
( e13 != e13
| op1(e13,e10) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e10)) )],[refute_8_852,refute_8_839]) ).
cnf(refute_8_854,plain,
( op1(e13,e10) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_8_139,refute_8_853]) ).
cnf(refute_8_855,plain,
( e12 != op1(e13,e12)
| op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_8_856,plain,
( e12 != op1(e13,e12)
| op1(e13,e10) = op1(e13,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_8_854,refute_8_855]) ).
cnf(refute_8_857,plain,
( e12 != op1(e13,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_8_856,refute_8_835]) ).
cnf(refute_8_858,plain,
( e12 != e12
| op1(e13,e12) != e12
| e12 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_8_859,plain,
( e12 != e12
| e12 = op1(e13,e12)
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_8_171,refute_8_858]) ).
cnf(refute_8_860,plain,
( e12 != e12
| op1(e13,e12) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e12)) )],[refute_8_859,refute_8_857]) ).
cnf(refute_8_861,plain,
( op1(e13,e12) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_8_190,refute_8_860]) ).
cnf(refute_8_862,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_8_140]) ).
cnf(refute_8_863,plain,
( op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_8_862,refute_8_134]) ).
cnf(refute_8_864,plain,
( op1(e13,e12) != e12
| op1(e13,e12) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e13) ),[0],$fot(e12)]]) ).
cnf(refute_8_865,plain,
( op1(e13,e12) != e13
| e12 = e13
| op1(e11,e12) = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_8_863,refute_8_864]) ).
cnf(refute_8_866,plain,
( e12 = e13
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_8_861,refute_8_865]) ).
cnf(refute_8_867,plain,
e12 != e13,
inference(canonicalize,[],[normalize_8_141]) ).
cnf(refute_8_868,plain,
( op1(e11,e12) = e12
| op1(e12,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_8_866,refute_8_867]) ).
cnf(refute_8_869,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[0],$fot(e12)]]) ).
cnf(refute_8_870,plain,
( op1(e12,e12) != e11
| e12 = e11
| op1(e11,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_8_868,refute_8_869]) ).
cnf(refute_8_871,plain,
( e12 = e11
| op1(e11,e12) = e12
| op1(e12,e10) = e11
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_8_834,refute_8_870]) ).
cnf(refute_8_872,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_8_142]) ).
cnf(refute_8_873,plain,
( e12 != op1(e13,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e13,e13))]]) ).
cnf(refute_8_874,plain,
( e12 != op1(e13,e13)
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_8_72,refute_8_873]) ).
cnf(refute_8_875,plain,
( e12 != e11
| op1(e13,e13) != e11
| e12 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_8_876,plain,
( e12 != e11
| e12 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_83,refute_8_875]) ).
cnf(refute_8_877,plain,
( e12 != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_8_876,refute_8_874]) ).
cnf(refute_8_878,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_8_877,refute_8_872]) ).
cnf(refute_8_879,plain,
( op1(e11,e12) = e12
| op1(e12,e10) = e11
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_8_871,refute_8_878]) ).
cnf(refute_8_880,plain,
( e11 != e11
| op1(e12,e11) != e11
| e11 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_8_881,plain,
( e11 != e11
| e11 = op1(e12,e11)
| op1(e11,e12) = e12
| op1(e12,e10) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_8_879,refute_8_880]) ).
cnf(refute_8_882,plain,
( e11 != e11
| op1(e11,e12) = e12
| op1(e12,e10) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,op1(e12,e11)) )],[refute_8_881,refute_8_832]) ).
cnf(refute_8_883,plain,
( op1(e11,e12) = e12
| op1(e12,e10) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_8_771,refute_8_882]) ).
cnf(refute_8_884,plain,
( op1(e12,e10) != e11
| op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(e11,op1(e12,e10)) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),op1(e12,e10)),e10) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_885,plain,
( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(e11,e12) = e12
| op1(e11,op1(e12,e10)) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_8_883,refute_8_884]) ).
cnf(refute_8_886,plain,
( op1(e11,e12) = e12
| op1(e11,op1(e12,e10)) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),op1(e12,e10)),e10) )],[refute_8_802,refute_8_885]) ).
cnf(refute_8_887,plain,
( op1(e11,op1(e12,e10)) != e10
| op1(e12,e10) != e11
| op1(e11,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e10)),e10) ),[0,1],$fot(e11)]]) ).
cnf(refute_8_888,plain,
( op1(e11,op1(e12,e10)) != e10
| op1(e11,e11) = e10
| op1(e11,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_8_883,refute_8_887]) ).
cnf(refute_8_889,plain,
( op1(e11,e11) = e10
| op1(e11,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e10)),e10) )],[refute_8_886,refute_8_888]) ).
cnf(refute_8_890,plain,
op1(e11,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_8_143]) ).
cnf(refute_8_891,plain,
( op1(e11,e11) != e10
| op1(e13,e11) != e10
| op1(e11,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_8_892,plain,
( op1(e11,e11) != e10
| op1(e11,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_8_92,refute_8_891]) ).
cnf(refute_8_893,plain,
op1(e11,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,e11)) )],[refute_8_892,refute_8_890]) ).
cnf(refute_8_894,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_8_889,refute_8_893]) ).
cnf(refute_8_895,plain,
( e12 != e12
| op1(e11,e12) != e12
| e12 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_8_896,plain,
( e12 != e12
| e12 = op1(e11,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_8_894,refute_8_895]) ).
cnf(refute_8_897,plain,
( e12 != e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e12)) )],[refute_8_896,refute_8_800]) ).
cnf(refute_8_898,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_8_190,refute_8_897]) ).
cnf(refute_8_899,plain,
op1(op1(e11,e10),op1(e11,e10)) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_8_898,refute_8_720]) ).
cnf(refute_8_900,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_8_144]) ).
cnf(refute_8_901,plain,
op2(e21,h4(e12)) = op2(e21,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).
cnf(refute_8_902,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) != op2(e21,h4(e12))
| op2(e21,h4(e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_8_903,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) )],[refute_8_901,refute_8_902]) ).
cnf(refute_8_904,plain,
op2(e21,h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_45,refute_8_903]) ).
cnf(refute_8_905,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_8_906,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_907,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_8_905,refute_8_906]) ).
cnf(refute_8_908,plain,
op2(h4(e11),h4(e12)) = op2(e21,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_224,refute_8_907]) ).
cnf(refute_8_909,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) != op2(e21,h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).
cnf(refute_8_910,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,h4(e12))) )],[refute_8_908,refute_8_909]) ).
cnf(refute_8_911,plain,
op2(h4(e11),h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e22)) )],[refute_8_904,refute_8_910]) ).
cnf(refute_8_912,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(e21,e22)
| h4(op1(e11,e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_8_913,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,e22)) )],[refute_8_911,refute_8_912]) ).
cnf(refute_8_914,plain,
h4(op1(e11,e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_8_900,refute_8_913]) ).
cnf(refute_8_915,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(canonicalize,[],[normalize_8_145]) ).
cnf(refute_8_916,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_8_915,refute_8_270]) ).
cnf(refute_8_917,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| op1(e11,e12) != e12
| h4(e12) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0,0],$fot(e12)]]) ).
cnf(refute_8_918,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| h4(e12) = op2(e21,e22)
| op1(e11,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_8_916,refute_8_917]) ).
cnf(refute_8_919,plain,
( h4(e12) = op2(e21,e22)
| op1(e11,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_8_914,refute_8_918]) ).
cnf(refute_8_920,plain,
( h4(e12) != e22
| h4(e12) != op2(e21,e22)
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(e21,e22)) ),[0],$fot(e22)]]) ).
cnf(refute_8_921,plain,
( h4(e12) != op2(e21,e22)
| e22 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_45,refute_8_920]) ).
cnf(refute_8_922,plain,
( e22 = op2(e21,e22)
| op1(e11,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e21,e22)) )],[refute_8_919,refute_8_921]) ).
cnf(refute_8_923,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_8_924,plain,
( op2(e21,e21) != h2(e11)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_8_925,plain,
( op2(e21,e21) != h2(e11)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_8_923,refute_8_924]) ).
cnf(refute_8_926,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_309,refute_8_925]) ).
cnf(refute_8_927,plain,
( h2(e10) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) != op2(e21,h2(e11))
| h2(e10) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e21,h2(e11))) ),[0],$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_8_928,plain,
( h2(e10) != op2(e21,op2(e21,e21))
| h2(e10) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e11))) )],[refute_8_926,refute_8_927]) ).
cnf(refute_8_929,plain,
h2(e10) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,op2(e21,e21))) )],[refute_8_1,refute_8_928]) ).
cnf(refute_8_930,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_8_146]) ).
cnf(refute_8_931,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_8_147]) ).
cnf(refute_8_932,plain,
( op2(e21,e22) != e22
| op2(e23,e22) != e22
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_8_933,plain,
( op2(e21,e22) != e22
| op2(e21,e22) = op2(e23,e22)
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_8_528,refute_8_932]) ).
cnf(refute_8_934,plain,
( op2(e21,e22) != e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_8_933,refute_8_931]) ).
cnf(refute_8_935,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(canonicalize,[],[normalize_8_148]) ).
cnf(refute_8_936,plain,
( h2(e11) = e22
| op2(e21,e20) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_8_935,refute_8_695]) ).
cnf(refute_8_937,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_8_149]) ).
cnf(refute_8_938,plain,
( e22 != op2(e21,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_8_939,plain,
( e22 != op2(e21,e23)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_8_37,refute_8_938]) ).
cnf(refute_8_940,plain,
e22 != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_8_939,refute_8_937]) ).
cnf(refute_8_941,plain,
( op2(e21,e23) != e22
| e22 = op2(e21,e23) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_8_942,plain,
op2(e21,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_8_941,refute_8_940]) ).
cnf(refute_8_943,plain,
( h2(e11) = e22
| op2(e21,e20) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_8_936,refute_8_942]) ).
cnf(refute_8_944,plain,
( e22 != e22
| op2(e21,e22) != e22
| op2(e21,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_8_945,plain,
( e22 != e22
| h2(e11) = e22
| op2(e21,e20) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_8_943,refute_8_944]) ).
cnf(refute_8_946,plain,
( e22 != e22
| h2(e11) = e22
| op2(e21,e20) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_8_945,refute_8_934]) ).
cnf(refute_8_947,plain,
( h2(e11) = e22
| op2(e21,e20) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_8_360,refute_8_946]) ).
cnf(refute_8_948,plain,
( op2(e20,e22) != e23
| op2(e23,e22) != e23
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_8_949,plain,
( op2(e20,e22) != e23
| h2(e11) = e22
| op2(e20,e22) = op2(e23,e22)
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_8_947,refute_8_948]) ).
cnf(refute_8_950,plain,
( op2(e20,e22) != e23
| h2(e11) = e22
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_8_949,refute_8_930]) ).
cnf(refute_8_951,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_8_150]) ).
cnf(refute_8_952,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e11) = op2(e20,e22)
| op1(e10,e12) = e10
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_8_135,refute_8_680]) ).
cnf(refute_8_953,plain,
( h4(e11) = op2(e20,e22)
| op1(e10,e12) = e10
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_8_554,refute_8_952]) ).
cnf(refute_8_954,plain,
( e21 = op2(e20,e22)
| op1(e10,e12) = e10
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e22)) )],[refute_8_953,refute_8_684]) ).
cnf(refute_8_955,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e13
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_8_954,refute_8_686]) ).
cnf(refute_8_956,plain,
( op2(e20,e21) != e21
| op2(e20,e22) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_8_957,plain,
( op2(e20,e21) != e21
| op1(e10,e12) = e10
| op1(e10,e12) = e13
| op2(e20,e21) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_8_955,refute_8_956]) ).
cnf(refute_8_958,plain,
( op2(e20,e21) != e21
| op1(e10,e12) = e10
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_8_957,refute_8_951]) ).
cnf(refute_8_959,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(canonicalize,[],[normalize_8_151]) ).
cnf(refute_8_960,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_8_152]) ).
cnf(refute_8_961,plain,
( op2(e20,e21) != e22
| op2(e20,e23) != e22
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_8_962,plain,
( op2(e20,e21) != e22
| op2(e20,e21) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_8_37,refute_8_961]) ).
cnf(refute_8_963,plain,
op2(e20,e21) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_8_962,refute_8_960]) ).
cnf(refute_8_964,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_8_959,refute_8_963]) ).
cnf(refute_8_965,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_8_964,refute_8_638]) ).
cnf(refute_8_966,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_8_967,plain,
( e21 != e21
| op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_8_965,refute_8_966]) ).
cnf(refute_8_968,plain,
( e21 != e21
| op1(e10,e12) = e10
| op1(e10,e12) = e13
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_8_967,refute_8_958]) ).
cnf(refute_8_969,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_8_970,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e13
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_8_969,refute_8_968]) ).
cnf(refute_8_971,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_8_153]) ).
cnf(refute_8_972,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e11)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_8_973,plain,
( op2(e21,e21) != e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_309,refute_8_972]) ).
cnf(refute_8_974,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_8_971,refute_8_973]) ).
cnf(refute_8_975,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_8_154]) ).
cnf(refute_8_976,plain,
( op2(e23,e21) != e21
| op2(e23,e23) != e21
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_8_977,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_221,refute_8_976]) ).
cnf(refute_8_978,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_8_977,refute_8_975]) ).
cnf(refute_8_979,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_8_974,refute_8_978]) ).
cnf(refute_8_980,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(canonicalize,[],[normalize_8_155]) ).
cnf(refute_8_981,plain,
( h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_8_980,refute_8_695]) ).
cnf(refute_8_982,plain,
( h2(e11) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_8_981,refute_8_963]) ).
cnf(refute_8_983,plain,
( op2(e23,e21) != e20
| op2(e23,e21) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e22) ),[0],$fot(e20)]]) ).
cnf(refute_8_984,plain,
( op2(e23,e21) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_8_352,refute_8_983]) ).
cnf(refute_8_985,plain,
( e20 = e22
| h2(e11) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_8_982,refute_8_984]) ).
cnf(refute_8_986,plain,
( h2(e11) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_8_985,refute_8_631]) ).
cnf(refute_8_987,plain,
( op2(e22,e21) != e21
| op2(e22,e21) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[0],$fot(e22)]]) ).
cnf(refute_8_988,plain,
( op2(e22,e21) != e21
| e22 = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_8_986,refute_8_987]) ).
cnf(refute_8_989,plain,
( e22 = e21
| h2(e11) = e21
| h2(e11) = e22
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_8_979,refute_8_988]) ).
cnf(refute_8_990,plain,
( h2(e11) = e21
| h2(e11) = e22
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_8_989,refute_8_376]) ).
cnf(refute_8_991,plain,
( op2(e20,e21) != e21
| op2(e20,e21) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e21)]]) ).
cnf(refute_8_992,plain,
( op2(e20,e21) != e23
| e21 = e23
| h2(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_8_990,refute_8_991]) ).
cnf(refute_8_993,plain,
( e21 = e23
| h2(e11) = e21
| h2(e11) = e22
| op1(e10,e12) = e10
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_8_970,refute_8_992]) ).
cnf(refute_8_994,plain,
e21 != e23,
inference(canonicalize,[],[normalize_8_156]) ).
cnf(refute_8_995,plain,
( h2(e11) = e21
| h2(e11) = e22
| op1(e10,e12) = e10
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_8_993,refute_8_994]) ).
cnf(refute_8_996,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h2(e11) = e21
| h2(e11) = e22
| h4(e13) = op2(e20,e22)
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_8_995,refute_8_562]) ).
cnf(refute_8_997,plain,
( h2(e11) = e21
| h2(e11) = e22
| h4(e13) = op2(e20,e22)
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_8_554,refute_8_996]) ).
cnf(refute_8_998,plain,
( e23 = op2(e20,e22)
| h2(e11) = e21
| h2(e11) = e22
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e22)) )],[refute_8_997,refute_8_566]) ).
cnf(refute_8_999,plain,
( h2(e11) = e21
| h2(e11) = e22
| op1(e10,e12) = e10
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e22)) )],[refute_8_998,refute_8_568]) ).
cnf(refute_8_1000,plain,
( e23 != e23
| h2(e11) = e21
| h2(e11) = e22
| op1(e10,e12) = e10
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_8_999,refute_8_570]) ).
cnf(refute_8_1001,plain,
( e23 != e23
| h2(e11) = e21
| h2(e11) = e22
| op1(e10,e12) = e10
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_8_1000,refute_8_950]) ).
cnf(refute_8_1002,plain,
( h2(e11) = e21
| h2(e11) = e22
| op1(e10,e12) = e10
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_365,refute_8_1001]) ).
cnf(refute_8_1003,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(canonicalize,[],[normalize_8_157]) ).
cnf(refute_8_1004,plain,
op2(e21,h4(e10)) = op2(e21,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e10)))]]) ).
cnf(refute_8_1005,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) != op2(e21,h4(e10))
| op2(e21,h4(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_8_1006,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) )],[refute_8_1004,refute_8_1005]) ).
cnf(refute_8_1007,plain,
op2(e21,h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_22,refute_8_1006]) ).
cnf(refute_8_1008,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_8_1009,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_1010,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_8_1008,refute_8_1009]) ).
cnf(refute_8_1011,plain,
op2(h4(e11),h4(e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_224,refute_8_1010]) ).
cnf(refute_8_1012,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) != op2(e21,h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(h4(e11),h4(e10)))),bind(Y,$fot(op2(e21,h4(e10)))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_8_1013,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,h4(e10))) )],[refute_8_1011,refute_8_1012]) ).
cnf(refute_8_1014,plain,
op2(h4(e11),h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,e20)) )],[refute_8_1007,refute_8_1013]) ).
cnf(refute_8_1015,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) != op2(e21,e20)
| h4(op1(e11,e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[0],$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_8_1016,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,e20)) )],[refute_8_1014,refute_8_1015]) ).
cnf(refute_8_1017,plain,
h4(op1(e11,e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_8_1003,refute_8_1016]) ).
cnf(refute_8_1018,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_8_158]) ).
cnf(refute_8_1019,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(canonicalize,[],[normalize_8_159]) ).
cnf(refute_8_1020,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_8_1019,refute_8_263]) ).
cnf(refute_8_1021,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| op1(e11,e12) != e11
| h4(e11) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_1022,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| h4(e11) = op2(e21,e22)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_8_1020,refute_8_1021]) ).
cnf(refute_8_1023,plain,
( h4(e11) = op2(e21,e22)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_8_914,refute_8_1022]) ).
cnf(refute_8_1024,plain,
( h4(e11) != e21
| h4(e11) != op2(e21,e22)
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e21,e22)) ),[0],$fot(e21)]]) ).
cnf(refute_8_1025,plain,
( h4(e11) != op2(e21,e22)
| e21 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_224,refute_8_1024]) ).
cnf(refute_8_1026,plain,
( e21 = op2(e21,e22)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e22)) )],[refute_8_1023,refute_8_1025]) ).
cnf(refute_8_1027,plain,
( e21 != op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_8_1028,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_8_1026,refute_8_1027]) ).
cnf(refute_8_1029,plain,
( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_8_1030,plain,
( op2(e21,e20) != e21
| op1(e11,e10) = e11
| op1(e11,e11) = e11
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_8_1028,refute_8_1029]) ).
cnf(refute_8_1031,plain,
( op2(e21,e20) != e21
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_8_1030,refute_8_1018]) ).
cnf(refute_8_1032,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(canonicalize,[],[normalize_8_160]) ).
cnf(refute_8_1033,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_8_1034,plain,
( op2(e20,e20) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_8_387,refute_8_1033]) ).
cnf(refute_8_1035,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_8_1032,refute_8_1034]) ).
cnf(refute_8_1036,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_8_161]) ).
cnf(refute_8_1037,plain,
( op2(e23,e20) != e21
| op2(e23,e23) != e21
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_8_1038,plain,
( op2(e23,e20) != e21
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_221,refute_8_1037]) ).
cnf(refute_8_1039,plain,
op2(e23,e20) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_8_1038,refute_8_1036]) ).
cnf(refute_8_1040,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_8_1035,refute_8_1039]) ).
cnf(refute_8_1041,plain,
( h4(op1(e12,e10)) != e21
| op2(e22,e20) != e21
| h4(op1(e12,e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e22,e20)) ),[1],$fot(e21)]]) ).
cnf(refute_8_1042,plain,
( h4(op1(e12,e10)) != e21
| h1(e11) = e21
| h4(op1(e12,e10)) = op2(e22,e20)
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_8_1040,refute_8_1041]) ).
cnf(refute_8_1043,plain,
( h4(op1(e12,e10)) != e21
| h1(e11) = e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e22,e20)) )],[refute_8_1042,refute_8_55]) ).
cnf(refute_8_1044,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(canonicalize,[],[normalize_8_162]) ).
cnf(refute_8_1045,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_8_1044,refute_8_844]) ).
cnf(refute_8_1046,plain,
( h4(e11) != e21
| op1(e12,e10) != e11
| h4(op1(e12,e10)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_1047,plain,
( h4(e11) != e21
| h4(op1(e12,e10)) = e21
| op1(e10,e10) = e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_8_1045,refute_8_1046]) ).
cnf(refute_8_1048,plain,
( h4(e11) != e21
| h1(e11) = e21
| op1(e10,e10) = e11
| op1(e11,e10) = e11
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),e21) )],[refute_8_1047,refute_8_1043]) ).
cnf(refute_8_1049,plain,
( e21 != e21
| h4(e11) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_8_1050,plain,
( e21 != e21
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_224,refute_8_1049]) ).
cnf(refute_8_1051,plain,
( e21 != e21
| h1(e11) = e21
| op1(e10,e10) = e11
| op1(e11,e10) = e11
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_1050,refute_8_1048]) ).
cnf(refute_8_1052,plain,
( e21 != e21
| h1(e11) = e21
| op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_8_1051,refute_8_1031]) ).
cnf(refute_8_1053,plain,
( h1(e11) = e21
| op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_8_969,refute_8_1052]) ).
cnf(refute_8_1054,plain,
( h4(op1(e11,e11)) != h2(e11)
| op1(e11,e11) != e11
| h4(e11) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_1055,plain,
( h4(op1(e11,e11)) != h2(e11)
| h1(e11) = e21
| h4(e11) = h2(e11)
| op1(e10,e10) = e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_8_1053,refute_8_1054]) ).
cnf(refute_8_1056,plain,
( h1(e11) = e21
| h4(e11) = h2(e11)
| op1(e10,e10) = e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_8_330,refute_8_1055]) ).
cnf(refute_8_1057,plain,
( h4(e11) != e21
| h4(e11) != h2(e11)
| e21 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h2(e11)) ),[0],$fot(e21)]]) ).
cnf(refute_8_1058,plain,
( h4(e11) != h2(e11)
| e21 = h2(e11) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_224,refute_8_1057]) ).
cnf(refute_8_1059,plain,
( e21 = h2(e11)
| h1(e11) = e21
| op1(e10,e10) = e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e11)) )],[refute_8_1056,refute_8_1058]) ).
cnf(refute_8_1060,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(canonicalize,[],[normalize_8_163]) ).
cnf(refute_8_1061,plain,
( ~ definitionFOFtoCNF_0
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_8_719,refute_8_1060]) ).
cnf(refute_8_1062,plain,
op1(op1(e11,e13),op1(e11,e13)) = e13,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_8_898,refute_8_1061]) ).
cnf(refute_8_1063,plain,
op2(e21,e20) != op2(e21,e23),
inference(canonicalize,[],[normalize_8_164]) ).
cnf(refute_8_1064,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| op1(e11,e13) != e10
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0,0],$fot(e10)]]) ).
cnf(refute_8_1065,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| h4(e10) = op2(e21,e23)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_8_271,refute_8_1064]) ).
cnf(refute_8_1066,plain,
( h4(e10) = op2(e21,e23)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_8_409,refute_8_1065]) ).
cnf(refute_8_1067,plain,
( h4(e10) != e20
| h4(e10) != op2(e21,e23)
| e20 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e21,e23)) ),[0],$fot(e20)]]) ).
cnf(refute_8_1068,plain,
( h4(e10) != op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_22,refute_8_1067]) ).
cnf(refute_8_1069,plain,
( e20 = op2(e21,e23)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_8_1066,refute_8_1068]) ).
cnf(refute_8_1070,plain,
( e20 != op2(e21,e23)
| op2(e21,e23) = e20 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_8_1071,plain,
( op1(e11,e13) = e13
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e23)) )],[refute_8_1069,refute_8_1070]) ).
cnf(refute_8_1072,plain,
( op2(e21,e20) != e20
| op2(e21,e23) != e20
| op2(e21,e20) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_8_1073,plain,
( op2(e21,e20) != e20
| op1(e11,e13) = e13
| op2(e21,e20) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_8_1071,refute_8_1072]) ).
cnf(refute_8_1074,plain,
( op2(e21,e20) != e20
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e23)) )],[refute_8_1073,refute_8_1063]) ).
cnf(refute_8_1075,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(canonicalize,[],[normalize_8_165]) ).
cnf(refute_8_1076,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_8_1075,refute_8_626]) ).
cnf(refute_8_1077,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_8_166]) ).
cnf(refute_8_1078,plain,
( op2(e23,e20) != e20
| op2(e23,e21) != e20
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_8_1079,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_8_352,refute_8_1078]) ).
cnf(refute_8_1080,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_8_1079,refute_8_1077]) ).
cnf(refute_8_1081,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_8_1076,refute_8_1080]) ).
cnf(refute_8_1082,plain,
( h4(op1(e12,e10)) != e20
| op2(e22,e20) != e20
| h4(op1(e12,e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e22,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_8_1083,plain,
( h4(op1(e12,e10)) != e20
| h1(e11) = e20
| h4(op1(e12,e10)) = op2(e22,e20)
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_8_1081,refute_8_1082]) ).
cnf(refute_8_1084,plain,
( h4(op1(e12,e10)) != e20
| h1(e11) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e22,e20)) )],[refute_8_1083,refute_8_55]) ).
cnf(refute_8_1085,plain,
( e23 != op2(e20,e22)
| op2(e20,e22) != e20
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e20) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_8_1086,plain,
( e23 != op2(e20,e22)
| e23 = e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_8_639,refute_8_1085]) ).
cnf(refute_8_1087,plain,
( e23 = e20
| h1(e11) = e20
| op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e22)) )],[refute_8_567,refute_8_1086]) ).
cnf(refute_8_1088,plain,
e20 != e23,
inference(canonicalize,[],[normalize_8_167]) ).
cnf(refute_8_1089,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_8_1090,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_8_1089,refute_8_1088]) ).
cnf(refute_8_1091,plain,
( h1(e11) = e20
| op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_8_1087,refute_8_1090]) ).
cnf(refute_8_1092,plain,
( e21 != op2(e20,e22)
| op2(e20,e22) != e20
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e20) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_8_1093,plain,
( e21 != op2(e20,e22)
| e21 = e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_8_639,refute_8_1092]) ).
cnf(refute_8_1094,plain,
( e21 = e20
| h1(e11) = e20
| op1(e10,e12) = e10
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_8_954,refute_8_1093]) ).
cnf(refute_8_1095,plain,
e20 != e21,
inference(canonicalize,[],[normalize_8_168]) ).
cnf(refute_8_1096,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_8_1097,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_8_1096,refute_8_1095]) ).
cnf(refute_8_1098,plain,
( h1(e11) = e20
| op1(e10,e12) = e10
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_8_1094,refute_8_1097]) ).
cnf(refute_8_1099,plain,
( op1(e10,e12) != e11
| op1(e10,e12) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[0],$fot(e13)]]) ).
cnf(refute_8_1100,plain,
( op1(e10,e12) != e11
| e13 = e11
| h1(e11) = e20
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_8_1098,refute_8_1099]) ).
cnf(refute_8_1101,plain,
( e13 = e11
| h1(e11) = e20
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_8_1091,refute_8_1100]) ).
cnf(refute_8_1102,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_8_1103,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_8_1102,refute_8_818]) ).
cnf(refute_8_1104,plain,
( h1(e11) = e20
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_8_1101,refute_8_1103]) ).
cnf(refute_8_1105,plain,
( e10 != op1(e12,e12)
| op1(e10,e12) != e10
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_8_1106,plain,
( e10 != op1(e12,e12)
| h1(e11) = e20
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_8_1104,refute_8_1105]) ).
cnf(refute_8_1107,plain,
( e10 != op1(e12,e12)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_8_1106,refute_8_111]) ).
cnf(refute_8_1108,plain,
( e10 != op1(e12,e13)
| op1(e11,e13) != e10
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e10) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_8_1109,plain,
( e10 != op1(e12,e13)
| op1(e11,e13) = e13
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_8_271,refute_8_1108]) ).
cnf(refute_8_1110,plain,
( e10 != op1(e12,e13)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_8_1109,refute_8_240]) ).
cnf(refute_8_1111,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(canonicalize,[],[normalize_8_169]) ).
cnf(refute_8_1112,plain,
op1(e12,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_8_170]) ).
cnf(refute_8_1113,plain,
( op1(e12,e11) != e10
| op1(e13,e11) != e10
| op1(e12,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_8_1114,plain,
( op1(e12,e11) != e10
| op1(e12,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_8_92,refute_8_1113]) ).
cnf(refute_8_1115,plain,
op1(e12,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e13,e11)) )],[refute_8_1114,refute_8_1112]) ).
cnf(refute_8_1116,plain,
( op1(e12,e10) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_8_1111,refute_8_1115]) ).
cnf(refute_8_1117,plain,
( e10 != e10
| op1(e12,e13) != e10
| e10 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_8_1118,plain,
( e10 != e10
| e10 = op1(e12,e13)
| op1(e12,e10) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_8_1116,refute_8_1117]) ).
cnf(refute_8_1119,plain,
( e10 != e10
| op1(e11,e13) = e13
| op1(e12,e10) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(e10,op1(e12,e13)) )],[refute_8_1118,refute_8_1110]) ).
cnf(refute_8_1120,plain,
( op1(e11,e13) = e13
| op1(e12,e10) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_8_144,refute_8_1119]) ).
cnf(refute_8_1121,plain,
( e10 != e10
| op1(e12,e12) != e10
| e10 = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_8_1122,plain,
( e10 != e10
| e10 = op1(e12,e12)
| op1(e11,e13) = e13
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_8_1120,refute_8_1121]) ).
cnf(refute_8_1123,plain,
( e10 != e10
| h1(e11) = e20
| op1(e11,e13) = e13
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(e10,op1(e12,e12)) )],[refute_8_1122,refute_8_1107]) ).
cnf(refute_8_1124,plain,
( h1(e11) = e20
| op1(e11,e13) = e13
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_8_144,refute_8_1123]) ).
cnf(refute_8_1125,plain,
( h4(e10) != e20
| op1(e12,e10) != e10
| h4(op1(e12,e10)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),e20) ),[0,0],$fot(e10)]]) ).
cnf(refute_8_1126,plain,
( h4(e10) != e20
| h1(e11) = e20
| h4(op1(e12,e10)) = e20
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_8_1124,refute_8_1125]) ).
cnf(refute_8_1127,plain,
( h4(e10) != e20
| h1(e11) = e20
| op1(e11,e13) = e13
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),e20) )],[refute_8_1126,refute_8_1084]) ).
cnf(refute_8_1128,plain,
( e20 != e20
| h4(e10) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_8_1129,plain,
( e20 != e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_22,refute_8_1128]) ).
cnf(refute_8_1130,plain,
( e20 != e20
| h1(e11) = e20
| op1(e11,e13) = e13
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_1129,refute_8_1127]) ).
cnf(refute_8_1131,plain,
( e20 != e20
| h1(e11) = e20
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_8_1130,refute_8_1074]) ).
cnf(refute_8_1132,plain,
( h1(e11) = e20
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_8_674,refute_8_1131]) ).
cnf(refute_8_1133,plain,
( op1(e11,e13) != e13
| op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(e13,op1(e11,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_8_1134,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| h1(e11) = e20
| op1(e13,op1(e11,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_8_1132,refute_8_1133]) ).
cnf(refute_8_1135,plain,
( h1(e11) = e20
| op1(e13,op1(e11,e13)) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) )],[refute_8_1062,refute_8_1134]) ).
cnf(refute_8_1136,plain,
( op1(e11,e13) != e13
| op1(e13,op1(e11,e13)) != e13
| op1(e13,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e11,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_8_1137,plain,
( op1(e13,op1(e11,e13)) != e13
| h1(e11) = e20
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_8_1132,refute_8_1136]) ).
cnf(refute_8_1138,plain,
( h1(e11) = e20
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e11,e13)),e13) )],[refute_8_1135,refute_8_1137]) ).
cnf(refute_8_1139,plain,
( e11 = e13
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_8_1138,refute_8_816]) ).
cnf(refute_8_1140,plain,
h1(e11) = e20,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_8_1139,refute_8_818]) ).
cnf(refute_8_1141,plain,
( h1(e11) != e20
| h1(e11) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[0],$fot(e20)]]) ).
cnf(refute_8_1142,plain,
( h1(e11) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_8_1140,refute_8_1141]) ).
cnf(refute_8_1143,plain,
( e20 = e21
| e21 = h2(e11)
| op1(e10,e10) = e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_8_1059,refute_8_1142]) ).
cnf(refute_8_1144,plain,
( h1(e11) != e20
| op2(e20,e22) != e20
| h1(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_8_1145,plain,
( h1(e11) != e20
| h1(e11) = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_8_670,refute_8_1144]) ).
cnf(refute_8_1146,plain,
( h1(e11) != e20
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_8_1145,refute_8_580]) ).
cnf(refute_8_1147,plain,
( e20 != e20
| h1(e11) != e20
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(e20)]]) ).
cnf(refute_8_1148,plain,
( e20 != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_8_1140,refute_8_1147]) ).
cnf(refute_8_1149,plain,
( e20 != e20
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_8_1148,refute_8_1146]) ).
cnf(refute_8_1150,plain,
op1(e10,e10) = e10,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_8_674,refute_8_1149]) ).
cnf(refute_8_1151,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[0],$fot(e10)]]) ).
cnf(refute_8_1152,plain,
( op1(e10,e10) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_8_1150,refute_8_1151]) ).
cnf(refute_8_1153,plain,
( e10 = e11
| e20 = e21
| e21 = h2(e11)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_8_1143,refute_8_1152]) ).
cnf(refute_8_1154,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_8_171]) ).
cnf(refute_8_1155,plain,
( op1(e13,e11) != e11
| op1(e13,e13) != e11
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_8_1156,plain,
( op1(e13,e11) != e11
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_83,refute_8_1155]) ).
cnf(refute_8_1157,plain,
op1(e13,e11) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_8_1156,refute_8_1154]) ).
cnf(refute_8_1158,plain,
( e10 != e11
| op1(e13,e11) != e10
| op1(e13,e11) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e10) ),[1],$fot(e11)]]) ).
cnf(refute_8_1159,plain,
( e10 != e11
| op1(e13,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_8_92,refute_8_1158]) ).
cnf(refute_8_1160,plain,
e10 != e11,
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_8_1159,refute_8_1157]) ).
cnf(refute_8_1161,plain,
( e20 = e21
| e21 = h2(e11)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_8_1153,refute_8_1160]) ).
cnf(refute_8_1162,plain,
( e21 = h2(e11)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_8_1161,refute_8_1095]) ).
cnf(refute_8_1163,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| op1(e11,e10) != e11
| h4(e11) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_1164,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| e21 = h2(e11)
| h4(e11) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_8_1162,refute_8_1163]) ).
cnf(refute_8_1165,plain,
( e21 = h2(e11)
| h4(e11) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) )],[refute_8_1017,refute_8_1164]) ).
cnf(refute_8_1166,plain,
( h4(e11) != e21
| h4(e11) != op2(e21,e20)
| e21 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e21,e20)) ),[0],$fot(e21)]]) ).
cnf(refute_8_1167,plain,
( h4(e11) != op2(e21,e20)
| e21 = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_224,refute_8_1166]) ).
cnf(refute_8_1168,plain,
( e21 = h2(e11)
| e21 = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e20)) )],[refute_8_1165,refute_8_1167]) ).
cnf(refute_8_1169,plain,
( e21 != op2(e21,e20)
| op2(e21,e20) = e21 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_8_1170,plain,
( e21 = h2(e11)
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_8_1168,refute_8_1169]) ).
cnf(refute_8_1171,plain,
( op2(e21,e20) != e21
| op2(e21,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_8_1172,plain,
( op2(e21,e20) != e22
| e21 = e22
| e21 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_8_1170,refute_8_1171]) ).
cnf(refute_8_1173,plain,
( e21 = e22
| e21 = h2(e11)
| h2(e11) = e21
| h2(e11) = e22
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_8_1002,refute_8_1172]) ).
cnf(refute_8_1174,plain,
( h2(e11) != e21
| e21 = h2(e11) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(e21))]]) ).
cnf(refute_8_1175,plain,
( e21 = e22
| e21 = h2(e11)
| h2(e11) = e22
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_8_1173,refute_8_1174]) ).
cnf(refute_8_1176,plain,
( e21 = h2(e11)
| h2(e11) = e22
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_8_1175,refute_8_378]) ).
cnf(refute_8_1177,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_8_1150,refute_8_108]) ).
cnf(refute_8_1178,plain,
e10 != op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_8_1177,refute_8_58]) ).
cnf(refute_8_1179,plain,
( op1(e10,e12) != e10
| e10 = op1(e10,e12) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(e10))]]) ).
cnf(refute_8_1180,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e10,e12)) )],[refute_8_1179,refute_8_1178]) ).
cnf(refute_8_1181,plain,
( e21 = h2(e11)
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_8_1176,refute_8_1180]) ).
cnf(refute_8_1182,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e11) != e22
| h2(e10) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_8_1183,plain,
( h2(e10) != op2(e21,h2(e11))
| e21 = h2(e11)
| h2(e10) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_8_1181,refute_8_1182]) ).
cnf(refute_8_1184,plain,
( e21 = h2(e11)
| h2(e10) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) )],[refute_8_929,refute_8_1183]) ).
cnf(refute_8_1185,plain,
( e21 != h2(e11)
| h2(e11) = e21 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e21)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_8_1186,plain,
( h2(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_8_1181,refute_8_1185]) ).
cnf(refute_8_1187,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e11) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_1188,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e10) = op2(e21,e21)
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_8_1186,refute_8_1187]) ).
cnf(refute_8_1189,plain,
( h2(e10) = op2(e21,e21)
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) )],[refute_8_929,refute_8_1188]) ).
cnf(refute_8_1190,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e11)
| h2(e10) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e11)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_8_1191,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_309,refute_8_1190]) ).
cnf(refute_8_1192,plain,
( h2(e10) = h2(e11)
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_8_1189,refute_8_1191]) ).
cnf(refute_8_1193,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_8_172]) ).
cnf(refute_8_1194,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_8_1195,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_8_1196,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_8_1194,refute_8_1195]) ).
cnf(refute_8_1197,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_22,refute_8_1196]) ).
cnf(refute_8_1198,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_8_1199,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_8_1200,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_8_1198,refute_8_1199]) ).
cnf(refute_8_1201,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_22,refute_8_1200]) ).
cnf(refute_8_1202,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_8_1203,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_8_1201,refute_8_1202]) ).
cnf(refute_8_1204,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_8_1197,refute_8_1203]) ).
cnf(refute_8_1205,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_8_1206,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_8_1204,refute_8_1205]) ).
cnf(refute_8_1207,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_8_387,refute_8_1206]) ).
cnf(refute_8_1208,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_8_1209,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_8_1207,refute_8_1208]) ).
cnf(refute_8_1210,plain,
h4(op1(e10,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_8_1193,refute_8_1209]) ).
cnf(refute_8_1211,plain,
op1(e11,e10) != op1(e11,e11),
inference(canonicalize,[],[normalize_8_173]) ).
cnf(refute_8_1212,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(canonicalize,[],[normalize_8_174]) ).
cnf(refute_8_1213,plain,
( op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_8_1212,refute_8_893]) ).
cnf(refute_8_1214,plain,
( h4(op1(e11,e11)) != h2(e11)
| op1(e11,e11) != e13
| h4(e13) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_8_1215,plain,
( h4(op1(e11,e11)) != h2(e11)
| h4(e13) = h2(e11)
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_8_1213,refute_8_1214]) ).
cnf(refute_8_1216,plain,
( h4(e13) = h2(e11)
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_8_330,refute_8_1215]) ).
cnf(refute_8_1217,plain,
( h4(e13) != e23
| h4(e13) != h2(e11)
| e23 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h2(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_8_1218,plain,
( h4(e13) != h2(e11)
| e23 = h2(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_8_297,refute_8_1217]) ).
cnf(refute_8_1219,plain,
( e23 = h2(e11)
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(e13),h2(e11)) )],[refute_8_1216,refute_8_1218]) ).
cnf(refute_8_1220,plain,
( h4(op1(e11,e11)) != h2(e11)
| e23 = h2(e11)
| h4(e12) = h2(e11)
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_8_1219,refute_8_331]) ).
cnf(refute_8_1221,plain,
( e23 = h2(e11)
| h4(e12) = h2(e11)
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_8_330,refute_8_1220]) ).
cnf(refute_8_1222,plain,
( e22 = h2(e11)
| e23 = h2(e11)
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),h2(e11)) )],[refute_8_1221,refute_8_335]) ).
cnf(refute_8_1223,plain,
( op1(e11,e10) != e11
| op1(e11,e11) != e11
| op1(e11,e10) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_8_1224,plain,
( op1(e11,e10) != e11
| e22 = h2(e11)
| e23 = h2(e11)
| op1(e11,e10) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_8_1222,refute_8_1223]) ).
cnf(refute_8_1225,plain,
( op1(e11,e10) != e11
| e22 = h2(e11)
| e23 = h2(e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e11)) )],[refute_8_1224,refute_8_1211]) ).
cnf(refute_8_1226,plain,
op2(e21,e20) != op2(e21,e21),
inference(canonicalize,[],[normalize_8_175]) ).
cnf(refute_8_1227,plain,
( op2(e21,e20) != h2(e11)
| op2(e21,e21) != h2(e11)
| op2(e21,e20) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e21)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_8_1228,plain,
( op2(e21,e20) != h2(e11)
| op2(e21,e20) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_309,refute_8_1227]) ).
cnf(refute_8_1229,plain,
op2(e21,e20) != h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e21)) )],[refute_8_1228,refute_8_1226]) ).
cnf(refute_8_1230,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(canonicalize,[],[normalize_8_176]) ).
cnf(refute_8_1231,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e11)
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e11))]]) ).
cnf(refute_8_1232,plain,
( op2(e21,e21) != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_309,refute_8_1231]) ).
cnf(refute_8_1233,plain,
( h2(e11) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_8_1230,refute_8_1232]) ).
cnf(refute_8_1234,plain,
( h2(e11) = e20
| h2(e11) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_8_1233,refute_8_973]) ).
cnf(refute_8_1235,plain,
( h2(e11) = e20
| h2(e11) = e21
| h2(e11) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_8_1234,refute_8_695]) ).
cnf(refute_8_1236,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_8_1237,plain,
( op2(e21,e21) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_309,refute_8_1236]) ).
cnf(refute_8_1238,plain,
( h2(e11) = e20
| h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_8_1235,refute_8_1237]) ).
cnf(refute_8_1239,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_8_177]) ).
cnf(refute_8_1240,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_8_1241,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_309,refute_8_1240]) ).
cnf(refute_8_1242,plain,
h2(e11) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_8_1241,refute_8_1239]) ).
cnf(refute_8_1243,plain,
( h2(e11) != e20
| op2(e23,e21) != e20
| h2(e11) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_8_1244,plain,
( h2(e11) != e20
| h2(e11) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_8_352,refute_8_1243]) ).
cnf(refute_8_1245,plain,
h2(e11) != e20,
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e21)) )],[refute_8_1244,refute_8_1242]) ).
cnf(refute_8_1246,plain,
( h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_8_1238,refute_8_1245]) ).
cnf(refute_8_1247,plain,
( h2(e11) != e21
| op2(e21,e20) != e21
| op2(e21,e20) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),h2(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_8_1248,plain,
( op2(e21,e20) != e21
| h2(e11) = e22
| h2(e11) = e23
| op2(e21,e20) = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_8_1246,refute_8_1247]) ).
cnf(refute_8_1249,plain,
( op2(e21,e20) != e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e11)) )],[refute_8_1248,refute_8_1229]) ).
cnf(refute_8_1250,plain,
( e21 != e21
| h1(e11) = e21
| h2(e11) = e22
| h2(e11) = e23
| op1(e10,e10) = e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_8_1051,refute_8_1249]) ).
cnf(refute_8_1251,plain,
( h1(e11) = e21
| h2(e11) = e22
| h2(e11) = e23
| op1(e10,e10) = e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_8_969,refute_8_1250]) ).
cnf(refute_8_1252,plain,
( e11 != e11
| op1(e11,e10) != e11
| op1(e11,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_1253,plain,
( e11 != e11
| h1(e11) = e21
| h2(e11) = e22
| h2(e11) = e23
| op1(e10,e10) = e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_8_1251,refute_8_1252]) ).
cnf(refute_8_1254,plain,
( e11 != e11
| e22 = h2(e11)
| e23 = h2(e11)
| h1(e11) = e21
| h2(e11) = e22
| h2(e11) = e23
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_8_1253,refute_8_1225]) ).
cnf(refute_8_1255,plain,
( e22 = h2(e11)
| e23 = h2(e11)
| h1(e11) = e21
| h2(e11) = e22
| h2(e11) = e23
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_8_771,refute_8_1254]) ).
cnf(refute_8_1256,plain,
( h2(e11) != e22
| e22 = h2(e11) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(e22))]]) ).
cnf(refute_8_1257,plain,
( e22 = h2(e11)
| e23 = h2(e11)
| h1(e11) = e21
| h2(e11) = e23
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_8_1255,refute_8_1256]) ).
cnf(refute_8_1258,plain,
( h2(e11) != e23
| e23 = h2(e11) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(e23))]]) ).
cnf(refute_8_1259,plain,
( e22 = h2(e11)
| e23 = h2(e11)
| h1(e11) = e21
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_8_1257,refute_8_1258]) ).
cnf(refute_8_1260,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e11
| h4(e11) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e11)]]) ).
cnf(refute_8_1261,plain,
( h4(op1(e10,e10)) != h1(e11)
| e22 = h2(e11)
| e23 = h2(e11)
| h1(e11) = e21
| h4(e11) = h1(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_8_1259,refute_8_1260]) ).
cnf(refute_8_1262,plain,
( e22 = h2(e11)
| e23 = h2(e11)
| h1(e11) = e21
| h4(e11) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_8_1210,refute_8_1261]) ).
cnf(refute_8_1263,plain,
( h4(e11) != e21
| h4(e11) != h1(e11)
| e21 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h1(e11)) ),[0],$fot(e21)]]) ).
cnf(refute_8_1264,plain,
( h4(e11) != h1(e11)
| e21 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_224,refute_8_1263]) ).
cnf(refute_8_1265,plain,
( e21 = h1(e11)
| e22 = h2(e11)
| e23 = h2(e11)
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_8_1262,refute_8_1264]) ).
cnf(refute_8_1266,plain,
( h1(e11) != e21
| e21 = h1(e11) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(e21))]]) ).
cnf(refute_8_1267,plain,
( e21 = h1(e11)
| e22 = h2(e11)
| e23 = h2(e11) ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_8_1265,refute_8_1266]) ).
cnf(refute_8_1268,plain,
( e23 != h2(e11)
| h2(e11) = e23 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e23)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_8_1269,plain,
( e21 = h1(e11)
| e22 = h2(e11)
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(e23,h2(e11)) )],[refute_8_1267,refute_8_1268]) ).
cnf(refute_8_1270,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e11) != e23
| h2(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_8_1271,plain,
( h2(e10) != op2(e21,h2(e11))
| e21 = h1(e11)
| e22 = h2(e11)
| h2(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_8_1269,refute_8_1270]) ).
cnf(refute_8_1272,plain,
( e21 = h1(e11)
| e22 = h2(e11)
| h2(e10) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) )],[refute_8_929,refute_8_1271]) ).
cnf(refute_8_1273,plain,
( h2(e10) != op2(e21,e23)
| op2(e21,e23) = h2(e10) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_8_1274,plain,
( e21 = h1(e11)
| e22 = h2(e11)
| op2(e21,e23) = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e23)) )],[refute_8_1272,refute_8_1273]) ).
cnf(refute_8_1275,plain,
( h2(e11) != h2(e10)
| op2(e21,e23) != h2(e10)
| h2(e11) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e21,e23)) ),[1],$fot(h2(e10))]]) ).
cnf(refute_8_1276,plain,
( h2(e11) != h2(e10)
| e21 = h1(e11)
| e22 = h2(e11)
| h2(e11) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h2(e10)) )],[refute_8_1274,refute_8_1275]) ).
cnf(refute_8_1277,plain,
( h2(e11) != h2(e10)
| e21 = h1(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e23)) )],[refute_8_1276,refute_8_394]) ).
cnf(refute_8_1278,plain,
( e22 != h2(e11)
| h2(e11) != h2(e10)
| e22 = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h2(e10)) ),[0],$fot(h2(e11))]]) ).
cnf(refute_8_1279,plain,
( h2(e11) != h2(e10)
| e21 = h1(e11)
| e22 = h2(e10) ),
inference(resolve,[$cnf( $equal(e22,h2(e11)) )],[refute_8_1277,refute_8_1278]) ).
cnf(refute_8_1280,plain,
op2(e21,e21) != op2(e21,e22),
inference(canonicalize,[],[normalize_8_178]) ).
cnf(refute_8_1281,plain,
( h2(e11) != op2(e21,e22)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_8_1282,plain,
( h2(e11) != op2(e21,e22)
| op2(e21,e21) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_309,refute_8_1281]) ).
cnf(refute_8_1283,plain,
h2(e11) != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e22)) )],[refute_8_1282,refute_8_1280]) ).
cnf(refute_8_1284,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e10) = op2(e21,e22)
| h2(e11) = e21
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_8_1246,refute_8_1182]) ).
cnf(refute_8_1285,plain,
( h2(e10) = op2(e21,e22)
| h2(e11) = e21
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) )],[refute_8_929,refute_8_1284]) ).
cnf(refute_8_1286,plain,
( h2(e10) != op2(e21,e22)
| op2(e21,e22) = h2(e10) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_8_1287,plain,
( h2(e11) = e21
| h2(e11) = e23
| op2(e21,e22) = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e22)) )],[refute_8_1285,refute_8_1286]) ).
cnf(refute_8_1288,plain,
( h2(e11) != h2(e10)
| op2(e21,e22) != h2(e10)
| h2(e11) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e21,e22)) ),[1],$fot(h2(e10))]]) ).
cnf(refute_8_1289,plain,
( h2(e11) != h2(e10)
| h2(e11) = e21
| h2(e11) = e23
| h2(e11) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h2(e10)) )],[refute_8_1287,refute_8_1288]) ).
cnf(refute_8_1290,plain,
( h2(e11) != h2(e10)
| h2(e11) = e21
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e22)) )],[refute_8_1289,refute_8_1283]) ).
cnf(refute_8_1291,plain,
( h2(e11) != e21
| h2(e11) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_8_1292,plain,
( h2(e11) != h2(e10)
| h2(e10) = e21
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_8_1290,refute_8_1291]) ).
cnf(refute_8_1293,plain,
( h2(e11) != e23
| h2(e11) != h2(e10)
| h2(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[0],$fot(h2(e10))]]) ).
cnf(refute_8_1294,plain,
( h2(e11) != h2(e10)
| h2(e10) = e21
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_8_1292,refute_8_1293]) ).
cnf(refute_8_1295,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e10) = op2(e21,e21)
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_8_1246,refute_8_1187]) ).
cnf(refute_8_1296,plain,
( h2(e10) = op2(e21,e21)
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) )],[refute_8_929,refute_8_1295]) ).
cnf(refute_8_1297,plain,
( h2(e10) = h2(e11)
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_8_1296,refute_8_1191]) ).
cnf(refute_8_1298,plain,
( h2(e10) != h2(e11)
| h2(e11) = h2(e10) ),
inference(subst,[],[refute_8_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_8_1299,plain,
( h2(e11) = e22
| h2(e11) = e23
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e11)) )],[refute_8_1297,refute_8_1298]) ).
cnf(refute_8_1300,plain,
( h2(e11) != e21
| h2(e10) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_8_1299,refute_8_1291]) ).
cnf(refute_8_1301,plain,
( h2(e10) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_8_1246,refute_8_1300]) ).
cnf(refute_8_1302,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e10) = op2(e21,e23)
| h2(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_8_1246,refute_8_1270]) ).
cnf(refute_8_1303,plain,
( h2(e10) = op2(e21,e23)
| h2(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) )],[refute_8_929,refute_8_1302]) ).
cnf(refute_8_1304,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_8_179]) ).
cnf(refute_8_1305,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_8_180]) ).
cnf(refute_8_1306,plain,
( op2(e21,e23) != e21
| op2(e23,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_8_1307,plain,
( op2(e21,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_221,refute_8_1306]) ).
cnf(refute_8_1308,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_8_1307,refute_8_1305]) ).
cnf(refute_8_1309,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_8_1304,refute_8_1308]) ).
cnf(refute_8_1310,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_8_1309,refute_8_942]) ).
cnf(refute_8_1311,plain,
( h2(e11) != e23
| h2(e11) = op2(e21,e23)
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_8_1310,refute_8_418]) ).
cnf(refute_8_1312,plain,
( h2(e11) != e23
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e23)) )],[refute_8_1311,refute_8_394]) ).
cnf(refute_8_1313,plain,
( e23 != e23
| h2(e11) = e21
| h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_8_1246,refute_8_439]) ).
cnf(refute_8_1314,plain,
( e23 != e23
| h2(e11) = e21
| h2(e11) = e22
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_8_1313,refute_8_1312]) ).
cnf(refute_8_1315,plain,
( h2(e11) = e21
| h2(e11) = e22
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_365,refute_8_1314]) ).
cnf(refute_8_1316,plain,
( h2(e10) != op2(e21,e23)
| op2(e21,e23) != e20
| h2(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),e20) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_8_1317,plain,
( h2(e10) != op2(e21,e23)
| h2(e10) = e20
| h2(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_8_1315,refute_8_1316]) ).
cnf(refute_8_1318,plain,
( h2(e10) = e20
| h2(e11) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e23)) )],[refute_8_1303,refute_8_1317]) ).
cnf(refute_8_1319,plain,
( h2(e11) != e21
| h2(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_8_1320,plain,
( h2(e11) != e23
| e21 = e23
| h2(e10) = e20
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_8_1318,refute_8_1319]) ).
cnf(refute_8_1321,plain,
( e21 = e23
| h2(e10) = e20
| h2(e10) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_8_1301,refute_8_1320]) ).
cnf(refute_8_1322,plain,
( h2(e10) = e20
| h2(e10) = e21
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_8_1321,refute_8_994]) ).
cnf(refute_8_1323,plain,
( e22 != h2(e10)
| h2(e11) != e22
| h2(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[1],$fot(h2(e10))]]) ).
cnf(refute_8_1324,plain,
( e22 != h2(e10)
| h2(e10) = e20
| h2(e10) = e21
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_8_1322,refute_8_1323]) ).
cnf(refute_8_1325,plain,
( e22 != h2(e10)
| h2(e10) = e20
| h2(e10) = e21
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_8_1324,refute_8_1294]) ).
cnf(refute_8_1326,plain,
( e22 != e22
| e22 != h2(e10)
| h2(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(e22,e22) ),[0],$fot(h2(e10))]]) ).
cnf(refute_8_1327,plain,
( e22 != h2(e10)
| h2(e10) = e22 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_8_360,refute_8_1326]) ).
cnf(refute_8_1328,plain,
( h2(e10) != e20
| h2(e10) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),e20) ),[0],$fot(e22)]]) ).
cnf(refute_8_1329,plain,
( e22 != h2(e10)
| h2(e10) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_8_1327,refute_8_1328]) ).
cnf(refute_8_1330,plain,
( e22 != h2(e10)
| e22 = e20
| h2(e10) = e21
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),e20) )],[refute_8_1325,refute_8_1329]) ).
cnf(refute_8_1331,plain,
( h2(e10) != e21
| h2(e10) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),e21) ),[0],$fot(e22)]]) ).
cnf(refute_8_1332,plain,
( e22 != h2(e10)
| h2(e10) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_8_1327,refute_8_1331]) ).
cnf(refute_8_1333,plain,
( e22 != h2(e10)
| e22 = e20
| e22 = e21
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_8_1330,refute_8_1332]) ).
cnf(refute_8_1334,plain,
( h2(e10) != e22
| h2(e10) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),e23) ),[0],$fot(e22)]]) ).
cnf(refute_8_1335,plain,
( e22 != h2(e10)
| h2(e10) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_8_1327,refute_8_1334]) ).
cnf(refute_8_1336,plain,
( e22 != h2(e10)
| e22 = e20
| e22 = e21
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),e23) )],[refute_8_1333,refute_8_1335]) ).
cnf(refute_8_1337,plain,
( e22 != h2(e10)
| e22 = e21
| e22 = e23 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_8_1336,refute_8_633]) ).
cnf(refute_8_1338,plain,
( e22 != h2(e10)
| e22 = e23 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_8_1337,refute_8_376]) ).
cnf(refute_8_1339,plain,
e22 != e23,
inference(canonicalize,[],[normalize_8_181]) ).
cnf(refute_8_1340,plain,
e22 != h2(e10),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_8_1338,refute_8_1339]) ).
cnf(refute_8_1341,plain,
( h2(e11) != h2(e10)
| e21 = h1(e11) ),
inference(resolve,[$cnf( $equal(e22,h2(e10)) )],[refute_8_1279,refute_8_1340]) ).
cnf(refute_8_1342,plain,
( e21 != h1(e11)
| h1(e11) != e20
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_8_1343,plain,
( e21 != h1(e11)
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_8_1140,refute_8_1342]) ).
cnf(refute_8_1344,plain,
( h2(e11) != h2(e10)
| e21 = e20 ),
inference(resolve,[$cnf( $equal(e21,h1(e11)) )],[refute_8_1341,refute_8_1343]) ).
cnf(refute_8_1345,plain,
h2(e11) != h2(e10),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_8_1344,refute_8_1097]) ).
cnf(refute_8_1346,plain,
h2(e10) != h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_8_1298,refute_8_1345]) ).
cnf(refute_8_1347,plain,
h2(e11) = e22,
inference(resolve,[$cnf( $equal(h2(e10),h2(e11)) )],[refute_8_1192,refute_8_1346]) ).
cnf(refute_8_1348,plain,
( e21 != h2(e11)
| h2(e11) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_8_1349,plain,
( e21 != h2(e11)
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_8_1347,refute_8_1348]) ).
cnf(refute_8_1350,plain,
( e21 = e22
| h2(e10) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_8_1184,refute_8_1349]) ).
cnf(refute_8_1351,plain,
h2(e10) = op2(e21,e22),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_8_1350,refute_8_378]) ).
cnf(refute_8_1352,plain,
op2(e21,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e22)) )],[refute_8_1351,refute_8_1286]) ).
cnf(refute_8_1353,plain,
( e22 != op2(e21,e22)
| op2(e21,e22) != h2(e10)
| e22 = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h2(e10)) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_8_1354,plain,
( e22 != op2(e21,e22)
| e22 = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h2(e10)) )],[refute_8_1352,refute_8_1353]) ).
cnf(refute_8_1355,plain,
( e22 = h2(e10)
| op1(e11,e10) = e12
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_8_922,refute_8_1354]) ).
cnf(refute_8_1356,plain,
( e21 = e22
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_8_1162,refute_8_1349]) ).
cnf(refute_8_1357,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_8_1356,refute_8_378]) ).
cnf(refute_8_1358,plain,
( op1(e11,e10) != e11
| op1(e11,e10) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e12) ),[0],$fot(e11)]]) ).
cnf(refute_8_1359,plain,
( op1(e11,e10) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_8_1357,refute_8_1358]) ).
cnf(refute_8_1360,plain,
( e11 = e12
| e22 = h2(e10)
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_8_1355,refute_8_1359]) ).
cnf(refute_8_1361,plain,
( e11 != e12
| e12 = e11 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e11)),bind(Y,$fot(e12))]]) ).
cnf(refute_8_1362,plain,
e11 != e12,
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_8_1361,refute_8_878]) ).
cnf(refute_8_1363,plain,
( e22 = h2(e10)
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_8_1360,refute_8_1362]) ).
cnf(refute_8_1364,plain,
op1(e11,e11) = e12,
inference(resolve,[$cnf( $equal(e22,h2(e10)) )],[refute_8_1363,refute_8_1340]) ).
cnf(refute_8_1365,plain,
op1(e11,op1(e11,e10)) = op1(e11,op1(e11,e10)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e10)))]]) ).
cnf(refute_8_1366,plain,
( op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) != op1(e11,op1(e11,e10))
| op1(e11,op1(e11,e10)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e10)),op1(e11,op1(e11,e10))) ),[1,1],$fot(e11)]]) ).
cnf(refute_8_1367,plain,
( op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e10)),op1(e11,op1(e11,e10))) )],[refute_8_1365,refute_8_1366]) ).
cnf(refute_8_1368,plain,
op1(e11,op1(e11,e10)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_8_1357,refute_8_1367]) ).
cnf(refute_8_1369,plain,
op1(op1(e11,e10),op1(e11,e10)) = op1(op1(e11,e10),op1(e11,e10)),
introduced(tautology,[refl,[$fot(op1(op1(e11,e10),op1(e11,e10)))]]) ).
cnf(refute_8_1370,plain,
( op1(e11,e10) != e11
| op1(op1(e11,e10),op1(e11,e10)) != op1(op1(e11,e10),op1(e11,e10))
| op1(op1(e11,e10),op1(e11,e10)) = op1(e11,op1(e11,e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),op1(op1(e11,e10),op1(e11,e10))) ),[1,0],$fot(e11)]]) ).
cnf(refute_8_1371,plain,
( op1(e11,e10) != e11
| op1(op1(e11,e10),op1(e11,e10)) = op1(e11,op1(e11,e10)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),op1(op1(e11,e10),op1(e11,e10))) )],[refute_8_1369,refute_8_1370]) ).
cnf(refute_8_1372,plain,
op1(op1(e11,e10),op1(e11,e10)) = op1(e11,op1(e11,e10)),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_8_1357,refute_8_1371]) ).
cnf(refute_8_1373,plain,
( op1(e11,op1(e11,e10)) != op1(e11,e11)
| op1(op1(e11,e10),op1(e11,e10)) != op1(e11,op1(e11,e10))
| op1(op1(e11,e10),op1(e11,e10)) = op1(e11,e11) ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op1(op1(e11,e10),op1(e11,e10)))),bind(Y,$fot(op1(e11,op1(e11,e10)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_8_1374,plain,
( op1(e11,op1(e11,e10)) != op1(e11,e11)
| op1(op1(e11,e10),op1(e11,e10)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),op1(e11,op1(e11,e10))) )],[refute_8_1372,refute_8_1373]) ).
cnf(refute_8_1375,plain,
op1(op1(e11,e10),op1(e11,e10)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e10)),op1(e11,e11)) )],[refute_8_1368,refute_8_1374]) ).
cnf(refute_8_1376,plain,
( op1(e11,e11) != e12
| op1(op1(e11,e10),op1(e11,e10)) != op1(e11,e11)
| op1(op1(e11,e10),op1(e11,e10)) = e12 ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op1(op1(e11,e10),op1(e11,e10)))),bind(Y,$fot(op1(e11,e11))),bind(Z,$fot(e12))]]) ).
cnf(refute_8_1377,plain,
( op1(e11,e11) != e12
| op1(op1(e11,e10),op1(e11,e10)) = e12 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),op1(e11,e11)) )],[refute_8_1375,refute_8_1376]) ).
cnf(refute_8_1378,plain,
op1(op1(e11,e10),op1(e11,e10)) = e12,
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_8_1364,refute_8_1377]) ).
cnf(refute_8_1379,plain,
( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e10),op1(e11,e10)) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),e10) ),[0],$fot(e12)]]) ).
cnf(refute_8_1380,plain,
( op1(op1(e11,e10),op1(e11,e10)) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),e12) )],[refute_8_1378,refute_8_1379]) ).
cnf(refute_8_1381,plain,
e12 = e10,
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),e10) )],[refute_8_899,refute_8_1380]) ).
cnf(refute_8_1382,plain,
h2(e12) = h2(e12),
introduced(tautology,[refl,[$fot(h2(e12))]]) ).
cnf(refute_8_1383,plain,
( e12 != e10
| h2(e12) != h2(e12)
| h2(e12) = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),h2(e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_8_1384,plain,
( e12 != e10
| h2(e12) = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e12),h2(e12)) )],[refute_8_1382,refute_8_1383]) ).
cnf(refute_8_1385,plain,
h2(e12) = h2(e10),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_8_1381,refute_8_1384]) ).
cnf(refute_8_1386,plain,
( h2(e12) != h2(e10)
| h2(e12) != op2(h2(e10),e21)
| h2(e10) = op2(h2(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),op2(h2(e10),e21)) ),[0],$fot(h2(e10))]]) ).
cnf(refute_8_1387,plain,
( h2(e12) != op2(h2(e10),e21)
| h2(e10) = op2(h2(e10),e21) ),
inference(resolve,[$cnf( $equal(h2(e12),h2(e10)) )],[refute_8_1385,refute_8_1386]) ).
cnf(refute_8_1388,plain,
h2(e10) = op2(h2(e10),e21),
inference(resolve,[$cnf( $equal(h2(e12),op2(h2(e10),e21)) )],[refute_8_13,refute_8_1387]) ).
cnf(refute_8_1389,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e22) != h2(e10)
| h4(op1(e11,e12)) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),h2(e10)) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_8_1390,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e12)) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h2(e10)) )],[refute_8_1352,refute_8_1389]) ).
cnf(refute_8_1391,plain,
h4(op1(e11,e12)) = h2(e10),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_8_914,refute_8_1390]) ).
cnf(refute_8_1392,plain,
op1(e11,e12) = op1(e11,e12),
introduced(tautology,[refl,[$fot(op1(e11,e12))]]) ).
cnf(refute_8_1393,plain,
( e12 != e10
| op1(e11,e12) != op1(e11,e12)
| op1(e11,e12) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e11,e12)) ),[1,1],$fot(e10)]]) ).
cnf(refute_8_1394,plain,
( e12 != e10
| op1(e11,e12) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e12)) )],[refute_8_1392,refute_8_1393]) ).
cnf(refute_8_1395,plain,
op1(e11,e12) = op1(e11,e10),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_8_1381,refute_8_1394]) ).
cnf(refute_8_1396,plain,
( op1(e11,e10) != e11
| op1(e11,e12) != op1(e11,e10)
| op1(e11,e12) = e11 ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(op1(e11,e10))),bind(Z,$fot(e11))]]) ).
cnf(refute_8_1397,plain,
( op1(e11,e10) != e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e10)) )],[refute_8_1395,refute_8_1396]) ).
cnf(refute_8_1398,plain,
op1(e11,e12) = e11,
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_8_1357,refute_8_1397]) ).
cnf(refute_8_1399,plain,
h4(op1(e11,e12)) = h4(op1(e11,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_8_1400,plain,
( h4(op1(e11,e12)) != h4(op1(e11,e12))
| op1(e11,e12) != e11
| h4(op1(e11,e12)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) ),[1,0],$fot(e11)]]) ).
cnf(refute_8_1401,plain,
( op1(e11,e12) != e11
| h4(op1(e11,e12)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) )],[refute_8_1399,refute_8_1400]) ).
cnf(refute_8_1402,plain,
h4(op1(e11,e12)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_8_1398,refute_8_1401]) ).
cnf(refute_8_1403,plain,
( h4(e11) != e21
| h4(op1(e11,e12)) != h4(e11)
| h4(op1(e11,e12)) = e21 ),
inference(subst,[],[refute_8_39:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_8_1404,plain,
( h4(e11) != e21
| h4(op1(e11,e12)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e11)) )],[refute_8_1402,refute_8_1403]) ).
cnf(refute_8_1405,plain,
h4(op1(e11,e12)) = e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_224,refute_8_1404]) ).
cnf(refute_8_1406,plain,
( h4(op1(e11,e12)) != e21
| h4(op1(e11,e12)) != h2(e10)
| e21 = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h2(e10)) ),[0],$fot(e21)]]) ).
cnf(refute_8_1407,plain,
( h4(op1(e11,e12)) != h2(e10)
| e21 = h2(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_8_1405,refute_8_1406]) ).
cnf(refute_8_1408,plain,
e21 = h2(e10),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h2(e10)) )],[refute_8_1391,refute_8_1407]) ).
cnf(refute_8_1409,plain,
( e21 != h2(e10)
| h2(e10) = e21 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e21)),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_8_1410,plain,
h2(e10) = e21,
inference(resolve,[$cnf( $equal(e21,h2(e10)) )],[refute_8_1408,refute_8_1409]) ).
cnf(refute_8_1411,plain,
( h2(e10) != e21
| h2(e10) != op2(h2(e10),e21)
| e21 = op2(h2(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e10),e21)) ),[0],$fot(e21)]]) ).
cnf(refute_8_1412,plain,
( h2(e10) != op2(h2(e10),e21)
| e21 = op2(h2(e10),e21) ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_8_1410,refute_8_1411]) ).
cnf(refute_8_1413,plain,
( h2(e11) != e22
| h2(e11) != op2(e21,e21)
| e22 = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,e21)) ),[0],$fot(e22)]]) ).
cnf(refute_8_1414,plain,
( h2(e11) != op2(e21,e21)
| e22 = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_8_1347,refute_8_1413]) ).
cnf(refute_8_1415,plain,
e22 = op2(e21,e21),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_8_307,refute_8_1414]) ).
cnf(refute_8_1416,plain,
h4(e12) = h4(e12),
introduced(tautology,[refl,[$fot(h4(e12))]]) ).
cnf(refute_8_1417,plain,
( e12 != e10
| h4(e12) != h4(e12)
| h4(e12) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h4(e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_8_1418,plain,
( e12 != e10
| h4(e12) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(e12),h4(e12)) )],[refute_8_1416,refute_8_1417]) ).
cnf(refute_8_1419,plain,
h4(e12) = h4(e10),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_8_1381,refute_8_1418]) ).
cnf(refute_8_1420,plain,
( h4(e10) != e20
| h4(e12) != h4(e10)
| h4(e12) = e20 ),
inference(subst,[],[refute_8_39:[bind(X,$fot(h4(e12))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_8_1421,plain,
( h4(e10) != e20
| h4(e12) = e20 ),
inference(resolve,[$cnf( $equal(h4(e12),h4(e10)) )],[refute_8_1419,refute_8_1420]) ).
cnf(refute_8_1422,plain,
h4(e12) = e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_22,refute_8_1421]) ).
cnf(refute_8_1423,plain,
( h4(e12) != e20
| h4(e12) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[0],$fot(e20)]]) ).
cnf(refute_8_1424,plain,
( h4(e12) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(h4(e12),e20) )],[refute_8_1422,refute_8_1423]) ).
cnf(refute_8_1425,plain,
e20 = e22,
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_45,refute_8_1424]) ).
cnf(refute_8_1426,plain,
( e20 != e22
| e22 = e20 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e20)),bind(Y,$fot(e22))]]) ).
cnf(refute_8_1427,plain,
e22 = e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_8_1425,refute_8_1426]) ).
cnf(refute_8_1428,plain,
( e22 != e20
| e22 != op2(e21,e21)
| e20 = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(e22,op2(e21,e21)) ),[0],$fot(e20)]]) ).
cnf(refute_8_1429,plain,
( e22 != op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_8_1427,refute_8_1428]) ).
cnf(refute_8_1430,plain,
e20 = op2(e21,e21),
inference(resolve,[$cnf( $equal(e22,op2(e21,e21)) )],[refute_8_1415,refute_8_1429]) ).
cnf(refute_8_1431,plain,
( e20 != op2(e21,e21)
| op2(e21,e21) = e20 ),
inference(subst,[],[refute_8_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_8_1432,plain,
op2(e21,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e21)) )],[refute_8_1430,refute_8_1431]) ).
cnf(refute_8_1433,plain,
op2(h2(e10),e21) = op2(h2(e10),e21),
introduced(tautology,[refl,[$fot(op2(h2(e10),e21))]]) ).
cnf(refute_8_1434,plain,
( h2(e10) != e21
| op2(h2(e10),e21) != op2(h2(e10),e21)
| op2(h2(e10),e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e10),e21),op2(h2(e10),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_1435,plain,
( h2(e10) != e21
| op2(h2(e10),e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h2(e10),e21),op2(h2(e10),e21)) )],[refute_8_1433,refute_8_1434]) ).
cnf(refute_8_1436,plain,
op2(h2(e10),e21) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_8_1410,refute_8_1435]) ).
cnf(refute_8_1437,plain,
( op2(e21,e21) != e20
| op2(h2(e10),e21) != op2(e21,e21)
| op2(h2(e10),e21) = e20 ),
inference(subst,[],[refute_8_39:[bind(X,$fot(op2(h2(e10),e21))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(e20))]]) ).
cnf(refute_8_1438,plain,
( op2(e21,e21) != e20
| op2(h2(e10),e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(h2(e10),e21),op2(e21,e21)) )],[refute_8_1436,refute_8_1437]) ).
cnf(refute_8_1439,plain,
op2(h2(e10),e21) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_8_1432,refute_8_1438]) ).
cnf(refute_8_1440,plain,
( e21 != op2(h2(e10),e21)
| op2(h2(e10),e21) != e20
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e20) ),[0],$fot(op2(h2(e10),e21))]]) ).
cnf(refute_8_1441,plain,
( e21 != op2(h2(e10),e21)
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(h2(e10),e21),e20) )],[refute_8_1439,refute_8_1440]) ).
cnf(refute_8_1442,plain,
( h2(e10) != op2(h2(e10),e21)
| e21 = e20 ),
inference(resolve,[$cnf( $equal(e21,op2(h2(e10),e21)) )],[refute_8_1412,refute_8_1441]) ).
cnf(refute_8_1443,plain,
e21 = e20,
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e10),e21)) )],[refute_8_1388,refute_8_1442]) ).
cnf(refute_8_1444,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_8_1443,refute_8_1097]) ).
fof(negate_9_0,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 )
& ( 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)) ),
inference(negate,[],[subgoal_9]) ).
fof(normalize_9_0,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
& 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))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_9_0]) ).
fof(normalize_9_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_9_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_9_1]) ).
fof(normalize_9_3,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_9_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_9_3]) ).
fof(normalize_9_5,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_9_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_9_5]) ).
fof(normalize_9_7,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
& 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))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_9_0,normalize_9_2,normalize_9_4,normalize_9_6]) ).
fof(normalize_9_8,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_9,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_9_1]) ).
fof(normalize_9_10,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_9_11,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_9_10]) ).
fof(normalize_9_12,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_9_13,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_9_12]) ).
fof(normalize_9_14,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_9_10]) ).
fof(normalize_9_15,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13 )
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_9_16,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_9_17,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13 ) ) ),
inference(simplify,[],[normalize_9_15,normalize_9_16]) ).
fof(normalize_9_18,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e10),op1(e11,e10)) = e10 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e11),op1(e11,e11)) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e12),op1(e11,e12)) = e12 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 )
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_9_17]) ).
fof(normalize_9_19,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(conjunct,[],[normalize_9_18]) ).
fof(normalize_9_20,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,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) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_9_21,plain,
op1(e11,e11) != op1(e12,e11),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_22,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e11),op1(e10,e11)) = e11
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_9_16]) ).
fof(normalize_9_23,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_9_22]) ).
fof(normalize_9_24,plain,
op1(e10,e10) != op1(e11,e10),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_25,plain,
( ( 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(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_9_26,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_27,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_9_28,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(conjunct,[],[normalize_9_27]) ).
fof(normalize_9_29,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_9_27]) ).
fof(normalize_9_30,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_9_31,plain,
e10 != e12,
inference(conjunct,[],[normalize_9_30]) ).
fof(normalize_9_32,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_33,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_9_27]) ).
fof(normalize_9_34,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_35,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_9_22]) ).
fof(normalize_9_36,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_37,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_38,plain,
e11 != e13,
inference(conjunct,[],[normalize_9_30]) ).
fof(normalize_9_39,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_40,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_41,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_9_42,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_9_41]) ).
fof(normalize_9_43,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_44,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_45,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_46,plain,
op1(e11,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_47,plain,
e10 != e11,
inference(conjunct,[],[normalize_9_30]) ).
fof(normalize_9_48,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_49,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_9_41]) ).
fof(normalize_9_50,plain,
op1(e13,e11) != op1(e13,e12),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_51,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_52,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,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) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_9_53,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_9_52]) ).
fof(normalize_9_54,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_55,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_9_10]) ).
fof(normalize_9_56,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_9_12]) ).
fof(normalize_9_57,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_9_10]) ).
fof(normalize_9_58,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_9_12]) ).
fof(normalize_9_59,plain,
h4(op1(e12,e11)) != op2(h4(e12),h4(e11)),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_60,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_61,plain,
( ( 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(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_9_62,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_9_61]) ).
fof(normalize_9_63,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_9_3]) ).
fof(normalize_9_64,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_9_52]) ).
fof(normalize_9_65,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_66,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(conjunct,[],[normalize_9_61]) ).
fof(normalize_9_67,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_9_52]) ).
fof(normalize_9_68,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_9_69,plain,
e20 != e22,
inference(conjunct,[],[normalize_9_68]) ).
fof(normalize_9_70,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_71,plain,
op1(e10,e11) != op1(e10,e13),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_72,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_9_52]) ).
fof(normalize_9_73,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_74,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e13),op1(e12,e13)) != e13 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_9_75,plain,
( ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e11),op1(e12,e11)) = e11 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e12),op1(e12,e12)) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 )
& ( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e13),op1(e12,e13)) != e13
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_9_74]) ).
fof(normalize_9_76,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 ),
inference(conjunct,[],[normalize_9_75]) ).
fof(normalize_9_77,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_78,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 )
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_9_79,plain,
( definitionFOFtoCNF_0
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(simplify,[],[normalize_9_78,normalize_9_17,normalize_9_16]) ).
fof(normalize_9_80,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(simplify,[],[normalize_9_79,normalize_9_74]) ).
fof(normalize_9_81,plain,
( ( op1(op1(e13,e10),op1(e13,e10)) = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_9_80]) ).
fof(normalize_9_82,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_9_81]) ).
fof(normalize_9_83,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(conjunct,[],[normalize_9_41]) ).
fof(normalize_9_84,plain,
op1(e10,e10) != op1(e10,e11),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_85,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_9_81]) ).
fof(normalize_9_86,plain,
op1(e10,e11) != op1(e12,e11),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_87,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 ),
inference(conjunct,[],[normalize_9_75]) ).
fof(normalize_9_88,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_89,plain,
e12 != e13,
inference(conjunct,[],[normalize_9_30]) ).
fof(normalize_9_90,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_91,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_92,plain,
op1(e11,e12) != op1(e11,e13),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_93,plain,
op1(e11,e11) != op1(e11,e12),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_94,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_95,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(conjunct,[],[normalize_9_3]) ).
fof(normalize_9_96,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_97,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_98,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_99,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_100,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_101,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_9_41]) ).
fof(normalize_9_102,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_103,plain,
op1(e13,e10) != op1(e13,e11),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_104,plain,
op2(e21,e21) != op2(e21,e22),
inference(conjunct,[],[normalize_9_52]) ).
fof(normalize_9_105,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_9_41]) ).
fof(normalize_9_106,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_107,plain,
op1(e10,e11) != op1(e10,e12),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_108,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_9_41]) ).
fof(normalize_9_109,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_9_41]) ).
fof(normalize_9_110,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_111,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_112,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_9_52]) ).
fof(normalize_9_113,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_114,plain,
op2(e22,e21) != op2(e22,e23),
inference(conjunct,[],[normalize_9_52]) ).
fof(normalize_9_115,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_9_52]) ).
fof(normalize_9_116,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_9_117,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_9_116]) ).
fof(normalize_9_118,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_9_52]) ).
fof(normalize_9_119,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_9_52]) ).
fof(normalize_9_120,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_121,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_9_61]) ).
fof(normalize_9_122,plain,
e20 != e23,
inference(conjunct,[],[normalize_9_68]) ).
fof(normalize_9_123,plain,
e21 != e23,
inference(conjunct,[],[normalize_9_68]) ).
fof(normalize_9_124,plain,
e22 != e23,
inference(conjunct,[],[normalize_9_68]) ).
cnf(refute_9_0,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_9_8]) ).
cnf(refute_9_1,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_9_9]) ).
cnf(refute_9_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_9_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_9_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_9_2,refute_9_3]) ).
cnf(refute_9_5,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_9_6,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_9_1,refute_9_5]) ).
cnf(refute_9_7,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_9_11]) ).
cnf(refute_9_8,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_9_13]) ).
cnf(refute_9_9,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_9_10,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_9_8,refute_9_9]) ).
cnf(refute_9_11,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_9_12,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_9_10,refute_9_11]) ).
cnf(refute_9_13,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_9_7,refute_9_12]) ).
cnf(refute_9_14,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_9_15,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_9_16,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_9_14,refute_9_15]) ).
cnf(refute_9_17,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_9_13,refute_9_16]) ).
cnf(refute_9_18,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_9_19,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_9_20,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_9_18,refute_9_19]) ).
cnf(refute_9_21,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_9_13,refute_9_20]) ).
cnf(refute_9_22,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_9_23,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_9_4,refute_9_22]) ).
cnf(refute_9_24,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_9_23:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_9_25,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_9_21,refute_9_24]) ).
cnf(refute_9_26,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_9_17,refute_9_25]) ).
cnf(refute_9_27,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_9_23:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_9_28,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_9_26,refute_9_27]) ).
cnf(refute_9_29,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_9_6,refute_9_28]) ).
cnf(refute_9_30,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_9_31,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_9_29,refute_9_30]) ).
cnf(refute_9_32,plain,
h4(op1(e10,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_9_0,refute_9_31]) ).
cnf(refute_9_33,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_9_14]) ).
cnf(refute_9_34,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(canonicalize,[],[normalize_9_19]) ).
cnf(refute_9_35,plain,
op1(e11,e11) != op1(e12,e11),
inference(canonicalize,[],[normalize_9_21]) ).
cnf(refute_9_36,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_9_23]) ).
cnf(refute_9_37,plain,
op1(e10,e10) != op1(e11,e10),
inference(canonicalize,[],[normalize_9_24]) ).
cnf(refute_9_38,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(canonicalize,[],[normalize_9_26]) ).
cnf(refute_9_39,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(canonicalize,[],[normalize_9_28]) ).
cnf(refute_9_40,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_9_29]) ).
cnf(refute_9_41,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = e10 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).
cnf(refute_9_42,plain,
op1(e13,op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_9_40,refute_9_41]) ).
cnf(refute_9_43,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(op1(e13,op1(e13,e13)),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_9_44,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_9_45,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) )],[refute_9_43,refute_9_44]) ).
cnf(refute_9_46,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_9_42,refute_9_45]) ).
cnf(refute_9_47,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) != op1(e10,e13)
| e12 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e13)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_9_48,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| e12 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(e10,e13)) )],[refute_9_46,refute_9_47]) ).
cnf(refute_9_49,plain,
e12 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),e13)) )],[refute_9_39,refute_9_48]) ).
cnf(refute_9_50,plain,
( e12 != op1(e10,e13)
| op1(e10,e13) = e12 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_9_51,plain,
op1(e10,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_9_49,refute_9_50]) ).
cnf(refute_9_52,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_9_53,plain,
( op1(e10,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_9_51,refute_9_52]) ).
cnf(refute_9_54,plain,
( e12 = e10
| op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_9_38,refute_9_53]) ).
cnf(refute_9_55,plain,
e10 != e12,
inference(canonicalize,[],[normalize_9_31]) ).
cnf(refute_9_56,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_9_57,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_9_56,refute_9_55]) ).
cnf(refute_9_58,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_9_54,refute_9_57]) ).
cnf(refute_9_59,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_9_32]) ).
cnf(refute_9_60,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_9_33]) ).
cnf(refute_9_61,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_9_62,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_9_60,refute_9_61]) ).
cnf(refute_9_63,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_9_64,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_9_65,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_9_63,refute_9_64]) ).
cnf(refute_9_66,plain,
op1(e13,op1(e13,e13)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_62,refute_9_65]) ).
cnf(refute_9_67,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e11)
| e10 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_9_68,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e11)) )],[refute_9_66,refute_9_67]) ).
cnf(refute_9_69,plain,
e10 = op1(e13,e11),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_9_40,refute_9_68]) ).
cnf(refute_9_70,plain,
( e10 != op1(e13,e11)
| op1(e13,e11) = e10 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_9_71,plain,
op1(e13,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e11)) )],[refute_9_69,refute_9_70]) ).
cnf(refute_9_72,plain,
( op1(e10,e11) != e10
| op1(e13,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_9_73,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_9_71,refute_9_72]) ).
cnf(refute_9_74,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_9_73,refute_9_59]) ).
cnf(refute_9_75,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_9_58,refute_9_74]) ).
cnf(refute_9_76,plain,
( op1(e10,e12) != e10
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e10,op1(e10,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) ),[0,0],$fot(e10)]]) ).
cnf(refute_9_77,plain,
( op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e10,e10) = e10
| op1(e10,op1(e10,e12)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_9_75,refute_9_76]) ).
cnf(refute_9_78,plain,
( op1(e10,e10) = e10
| op1(e10,op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) )],[refute_9_36,refute_9_77]) ).
cnf(refute_9_79,plain,
( op1(e10,e12) != e10
| op1(e10,op1(e10,e12)) != e12
| op1(e10,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) ),[0,1],$fot(e10)]]) ).
cnf(refute_9_80,plain,
( op1(e10,op1(e10,e12)) != e12
| op1(e10,e10) = e10
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_9_75,refute_9_79]) ).
cnf(refute_9_81,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e12)),e12) )],[refute_9_78,refute_9_80]) ).
cnf(refute_9_82,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_9_34]) ).
cnf(refute_9_83,plain,
( op1(e10,e10) != e12
| op1(e10,e13) != e12
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_9_84,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_9_51,refute_9_83]) ).
cnf(refute_9_85,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_9_84,refute_9_82]) ).
cnf(refute_9_86,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_9_81,refute_9_85]) ).
cnf(refute_9_87,plain,
( e10 != op1(e11,e10)
| op1(e10,e10) != e10
| op1(e10,e10) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[1],$fot(op1(e11,e10))]]) ).
cnf(refute_9_88,plain,
( e10 != op1(e11,e10)
| op1(e10,e10) = op1(e11,e10)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_9_86,refute_9_87]) ).
cnf(refute_9_89,plain,
( e10 != op1(e11,e10)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e11,e10)) )],[refute_9_88,refute_9_37]) ).
cnf(refute_9_90,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_9_35]) ).
cnf(refute_9_91,plain,
op1(e12,op1(e10,e13)) = op1(e12,op1(e10,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e10,e13)))]]) ).
cnf(refute_9_92,plain,
( op1(e10,e13) != e12
| op1(e12,op1(e10,e13)) != op1(e12,op1(e10,e13))
| op1(e12,op1(e10,e13)) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_9_93,plain,
( op1(e10,e13) != e12
| op1(e12,op1(e10,e13)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) )],[refute_9_91,refute_9_92]) ).
cnf(refute_9_94,plain,
op1(e12,op1(e10,e13)) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_9_51,refute_9_93]) ).
cnf(refute_9_95,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(op1(e10,e13),op1(e10,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e10,e13),op1(e10,e13)))]]) ).
cnf(refute_9_96,plain,
( op1(e10,e13) != e12
| op1(op1(e10,e13),op1(e10,e13)) != op1(op1(e10,e13),op1(e10,e13))
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(op1(e10,e13),op1(e10,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_9_97,plain,
( op1(e10,e13) != e12
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(op1(e10,e13),op1(e10,e13))) )],[refute_9_95,refute_9_96]) ).
cnf(refute_9_98,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_9_51,refute_9_97]) ).
cnf(refute_9_99,plain,
( op1(e12,op1(e10,e13)) != op1(e12,e12)
| op1(op1(e10,e13),op1(e10,e13)) != op1(e12,op1(e10,e13))
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12) ),
inference(subst,[],[refute_9_23:[bind(X,$fot(op1(op1(e10,e13),op1(e10,e13)))),bind(Y,$fot(op1(e12,op1(e10,e13)))),bind(Z,$fot(op1(e12,e12)))]]) ).
cnf(refute_9_100,plain,
( op1(e12,op1(e10,e13)) != op1(e12,e12)
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(e12,op1(e10,e13))) )],[refute_9_98,refute_9_99]) ).
cnf(refute_9_101,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,e12)) )],[refute_9_94,refute_9_100]) ).
cnf(refute_9_102,plain,
( op1(op1(e10,e13),op1(e10,e13)) != e13
| op1(op1(e10,e13),op1(e10,e13)) != op1(e12,e12)
| op1(e12,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),e13) ),[0],$fot(op1(e12,e12))]]) ).
cnf(refute_9_103,plain,
( op1(op1(e10,e13),op1(e10,e13)) != e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(e12,e12)) )],[refute_9_101,refute_9_102]) ).
cnf(refute_9_104,plain,
( op1(e12,e12) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),e13) )],[refute_9_90,refute_9_103]) ).
cnf(refute_9_105,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(canonicalize,[],[normalize_9_36]) ).
cnf(refute_9_106,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_9_37]) ).
cnf(refute_9_107,plain,
( op1(e13,e12) != e11
| op1(e13,e13) != e11
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_9_108,plain,
( op1(e13,e12) != e11
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_62,refute_9_107]) ).
cnf(refute_9_109,plain,
op1(e13,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_9_108,refute_9_106]) ).
cnf(refute_9_110,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_9_105,refute_9_109]) ).
cnf(refute_9_111,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[0],$fot(e11)]]) ).
cnf(refute_9_112,plain,
( op1(e12,e12) != e13
| e11 = e13
| op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_9_110,refute_9_111]) ).
cnf(refute_9_113,plain,
( e11 = e13
| op1(e10,e12) = e11
| op1(e11,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_104,refute_9_112]) ).
cnf(refute_9_114,plain,
e11 != e13,
inference(canonicalize,[],[normalize_9_38]) ).
cnf(refute_9_115,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_9_113,refute_9_114]) ).
cnf(refute_9_116,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_9_39]) ).
cnf(refute_9_117,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_9_40]) ).
cnf(refute_9_118,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_9_119,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_104,refute_9_118]) ).
cnf(refute_9_120,plain,
( e13 != op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_9_119,refute_9_117]) ).
cnf(refute_9_121,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_9_42]) ).
cnf(refute_9_122,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_9_43]) ).
cnf(refute_9_123,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_9_124,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_62,refute_9_123]) ).
cnf(refute_9_125,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_9_124,refute_9_122]) ).
cnf(refute_9_126,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_9_121,refute_9_125]) ).
cnf(refute_9_127,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_9_44]) ).
cnf(refute_9_128,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_9_129,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_9_51,refute_9_128]) ).
cnf(refute_9_130,plain,
e12 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_9_129,refute_9_127]) ).
cnf(refute_9_131,plain,
( op1(e12,e13) != e12
| e12 = op1(e12,e13) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_9_132,plain,
op1(e12,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_9_131,refute_9_130]) ).
cnf(refute_9_133,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_9_126,refute_9_132]) ).
cnf(refute_9_134,plain,
( e13 != e13
| op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_9_135,plain,
( e13 != e13
| e13 = op1(e12,e13)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_9_133,refute_9_134]) ).
cnf(refute_9_136,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_9_135,refute_9_120]) ).
cnf(refute_9_137,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_9_138,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_9_137,refute_9_136]) ).
cnf(refute_9_139,plain,
( op1(e11,e13) != e10
| op1(e12,e13) != e10
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_9_140,plain,
( op1(e11,e13) != e10
| op1(e11,e13) = op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_9_138,refute_9_139]) ).
cnf(refute_9_141,plain,
( op1(e11,e13) != e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_9_140,refute_9_116]) ).
cnf(refute_9_142,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(canonicalize,[],[normalize_9_45]) ).
cnf(refute_9_143,plain,
op1(e11,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_9_46]) ).
cnf(refute_9_144,plain,
( op1(e11,e11) != e10
| op1(e13,e11) != e10
| op1(e11,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_9_145,plain,
( op1(e11,e11) != e10
| op1(e11,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_9_71,refute_9_144]) ).
cnf(refute_9_146,plain,
op1(e11,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,e11)) )],[refute_9_145,refute_9_143]) ).
cnf(refute_9_147,plain,
( op1(e11,e10) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_9_142,refute_9_146]) ).
cnf(refute_9_148,plain,
( e10 != e10
| op1(e11,e13) != e10
| op1(e11,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e10) ),[1],$fot(e10)]]) ).
cnf(refute_9_149,plain,
( e10 != e10
| op1(e11,e10) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_9_147,refute_9_148]) ).
cnf(refute_9_150,plain,
( e10 != e10
| op1(e11,e10) = e10
| op1(e11,e12) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_9_149,refute_9_141]) ).
cnf(refute_9_151,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_9_152,plain,
( op1(e11,e10) = e10
| op1(e11,e12) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_9_151,refute_9_150]) ).
cnf(refute_9_153,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0],$fot(e10)]]) ).
cnf(refute_9_154,plain,
( op1(e11,e12) != e11
| e10 = e11
| op1(e11,e10) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_9_152,refute_9_153]) ).
cnf(refute_9_155,plain,
( e10 = e11
| op1(e10,e12) = e11
| op1(e11,e10) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_9_115,refute_9_154]) ).
cnf(refute_9_156,plain,
e10 != e11,
inference(canonicalize,[],[normalize_9_47]) ).
cnf(refute_9_157,plain,
( op1(e10,e12) = e11
| op1(e11,e10) = e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_9_155,refute_9_156]) ).
cnf(refute_9_158,plain,
( e10 != e10
| op1(e11,e10) != e10
| e10 = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e10)) ),[1],$fot(e10)]]) ).
cnf(refute_9_159,plain,
( e10 != e10
| e10 = op1(e11,e10)
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_9_157,refute_9_158]) ).
cnf(refute_9_160,plain,
( e10 != e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,op1(e11,e10)) )],[refute_9_159,refute_9_89]) ).
cnf(refute_9_161,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_9_151,refute_9_160]) ).
cnf(refute_9_162,plain,
( op1(e10,e12) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e11,op1(e10,e12)) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) ),[0,0],$fot(e11)]]) ).
cnf(refute_9_163,plain,
( op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(e11,op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_9_161,refute_9_162]) ).
cnf(refute_9_164,plain,
( op1(e11,op1(e10,e12)) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),op1(e10,e12)),e12) )],[refute_9_36,refute_9_163]) ).
cnf(refute_9_165,plain,
( op1(e10,e12) != e11
| op1(e11,op1(e10,e12)) != e12
| op1(e11,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e10,e12)),e12) ),[0,1],$fot(e11)]]) ).
cnf(refute_9_166,plain,
( op1(e11,op1(e10,e12)) != e12
| op1(e11,e11) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_9_161,refute_9_165]) ).
cnf(refute_9_167,plain,
( op1(e11,e11) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e10,e12)),e12) )],[refute_9_164,refute_9_166]) ).
cnf(refute_9_168,plain,
( e12 != op1(e12,e11)
| op1(e11,e11) != e12
| op1(e11,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_9_169,plain,
( e12 != op1(e12,e11)
| op1(e11,e11) = op1(e12,e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_9_167,refute_9_168]) ).
cnf(refute_9_170,plain,
( e12 != op1(e12,e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e12,e11)) )],[refute_9_169,refute_9_35]) ).
cnf(refute_9_171,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_9_48]) ).
cnf(refute_9_172,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_9_173,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_104,refute_9_172]) ).
cnf(refute_9_174,plain,
( e13 != op1(e13,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_9_173,refute_9_171]) ).
cnf(refute_9_175,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_9_49]) ).
cnf(refute_9_176,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_9_175,refute_9_109]) ).
cnf(refute_9_177,plain,
op1(e13,e11) != op1(e13,e12),
inference(canonicalize,[],[normalize_9_50]) ).
cnf(refute_9_178,plain,
( e10 != op1(e13,e12)
| op1(e13,e11) != e10
| op1(e13,e11) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e10) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_9_179,plain,
( e10 != op1(e13,e12)
| op1(e13,e11) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_9_71,refute_9_178]) ).
cnf(refute_9_180,plain,
e10 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e12)) )],[refute_9_179,refute_9_177]) ).
cnf(refute_9_181,plain,
( op1(e13,e12) != e10
| e10 = op1(e13,e12) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e10))]]) ).
cnf(refute_9_182,plain,
op1(e13,e12) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_9_181,refute_9_180]) ).
cnf(refute_9_183,plain,
( op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_9_176,refute_9_182]) ).
cnf(refute_9_184,plain,
( e13 != e13
| op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_9_185,plain,
( e13 != e13
| e13 = op1(e13,e12)
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_9_183,refute_9_184]) ).
cnf(refute_9_186,plain,
( e13 != e13
| op1(e13,e12) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_9_185,refute_9_174]) ).
cnf(refute_9_187,plain,
( op1(e13,e12) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_9_137,refute_9_186]) ).
cnf(refute_9_188,plain,
( op1(e12,e12) != e12
| op1(e13,e12) != e12
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e13,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_9_189,plain,
( op1(e12,e12) != e12
| op1(e12,e12) = op1(e13,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_9_187,refute_9_188]) ).
cnf(refute_9_190,plain,
( op1(e12,e12) != e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_9_189,refute_9_171]) ).
cnf(refute_9_191,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(canonicalize,[],[normalize_9_51]) ).
cnf(refute_9_192,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_9_191,refute_9_132]) ).
cnf(refute_9_193,plain,
( e12 != e12
| op1(e12,e12) != e12
| op1(e12,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[0,0],$fot(e12)]]) ).
cnf(refute_9_194,plain,
( e12 != e12
| op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_9_192,refute_9_193]) ).
cnf(refute_9_195,plain,
( e12 != e12
| op1(e12,e10) = e12
| op1(e12,e11) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_9_194,refute_9_190]) ).
cnf(refute_9_196,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_9_197,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_9_196,refute_9_195]) ).
cnf(refute_9_198,plain,
( e12 != e12
| op1(e12,e11) != e12
| e12 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e12,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_9_199,plain,
( e12 != e12
| e12 = op1(e12,e11)
| op1(e12,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_9_197,refute_9_198]) ).
cnf(refute_9_200,plain,
( e12 != e12
| op1(e12,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e12,op1(e12,e11)) )],[refute_9_199,refute_9_170]) ).
cnf(refute_9_201,plain,
( op1(e12,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_9_196,refute_9_200]) ).
cnf(refute_9_202,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_9_53]) ).
cnf(refute_9_203,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_9_54]) ).
cnf(refute_9_204,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_9_55]) ).
cnf(refute_9_205,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_9_56]) ).
cnf(refute_9_206,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_9_207,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_9_208,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_9_206,refute_9_207]) ).
cnf(refute_9_209,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_9_10,refute_9_208]) ).
cnf(refute_9_210,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_9_211,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_9_209,refute_9_210]) ).
cnf(refute_9_212,plain,
e22 = op2(e20,e23),
inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),e23)) )],[refute_9_205,refute_9_211]) ).
cnf(refute_9_213,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_9_214,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_9_212,refute_9_213]) ).
cnf(refute_9_215,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(subst,[],[refute_9_23:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_9_216,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_9_209,refute_9_215]) ).
cnf(refute_9_217,plain,
op2(op2(e23,op2(e23,e23)),e23) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_9_214,refute_9_216]) ).
cnf(refute_9_218,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_9_219,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),e22) )],[refute_9_217,refute_9_218]) ).
cnf(refute_9_220,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_9_204,refute_9_219]) ).
cnf(refute_9_221,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_9_222,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) != op2(e20,h4(e12))
| op2(e20,h4(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_9_223,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_9_221,refute_9_222]) ).
cnf(refute_9_224,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_220,refute_9_223]) ).
cnf(refute_9_225,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_9_226,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_9_227,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_9_225,refute_9_226]) ).
cnf(refute_9_228,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_9_13,refute_9_227]) ).
cnf(refute_9_229,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_9_23:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_9_230,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_9_228,refute_9_229]) ).
cnf(refute_9_231,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_9_224,refute_9_230]) ).
cnf(refute_9_232,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_9_233,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_9_231,refute_9_232]) ).
cnf(refute_9_234,plain,
h4(op1(e10,e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_9_203,refute_9_233]) ).
cnf(refute_9_235,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e11
| h4(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e11)]]) ).
cnf(refute_9_236,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e11) = op2(e20,e22)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_9_161,refute_9_235]) ).
cnf(refute_9_237,plain,
( h4(e11) = op2(e20,e22)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_9_234,refute_9_236]) ).
cnf(refute_9_238,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_9_57]) ).
cnf(refute_9_239,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_9_58]) ).
cnf(refute_9_240,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_9_241,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_9_239,refute_9_240]) ).
cnf(refute_9_242,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_9_243,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_241,refute_9_242]) ).
cnf(refute_9_244,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_9_238,refute_9_243]) ).
cnf(refute_9_245,plain,
( h4(e11) != e21
| h4(e11) != op2(e20,e22)
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e20,e22)) ),[0],$fot(e21)]]) ).
cnf(refute_9_246,plain,
( h4(e11) != op2(e20,e22)
| e21 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_244,refute_9_245]) ).
cnf(refute_9_247,plain,
( e21 = op2(e20,e22)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e22)) )],[refute_9_237,refute_9_246]) ).
cnf(refute_9_248,plain,
( e21 != op2(e20,e22)
| op2(e20,e22) = e21 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_9_249,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_9_247,refute_9_248]) ).
cnf(refute_9_250,plain,
( op2(e20,e21) != e21
| op2(e20,e22) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_9_251,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_9_249,refute_9_250]) ).
cnf(refute_9_252,plain,
( op2(e20,e21) != e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_9_251,refute_9_202]) ).
cnf(refute_9_253,plain,
h4(op1(e12,e11)) != op2(h4(e12),h4(e11)),
inference(canonicalize,[],[normalize_9_59]) ).
cnf(refute_9_254,plain,
op2(e22,h4(e11)) = op2(e22,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e11)))]]) ).
cnf(refute_9_255,plain,
( h4(e11) != e21
| op2(e22,h4(e11)) != op2(e22,h4(e11))
| op2(e22,h4(e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_256,plain,
( h4(e11) != e21
| op2(e22,h4(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) )],[refute_9_254,refute_9_255]) ).
cnf(refute_9_257,plain,
op2(e22,h4(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_244,refute_9_256]) ).
cnf(refute_9_258,plain,
op2(h4(e12),h4(e11)) = op2(h4(e12),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_9_259,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) = op2(e22,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) ),[1,0],$fot(e22)]]) ).
cnf(refute_9_260,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e11)) = op2(e22,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) )],[refute_9_258,refute_9_259]) ).
cnf(refute_9_261,plain,
op2(h4(e12),h4(e11)) = op2(e22,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_220,refute_9_260]) ).
cnf(refute_9_262,plain,
( op2(e22,h4(e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) != op2(e22,h4(e11))
| op2(h4(e12),h4(e11)) = op2(e22,e21) ),
inference(subst,[],[refute_9_23:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e22,h4(e11)))),bind(Z,$fot(op2(e22,e21)))]]) ).
cnf(refute_9_263,plain,
( op2(e22,h4(e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,h4(e11))) )],[refute_9_261,refute_9_262]) ).
cnf(refute_9_264,plain,
op2(h4(e12),h4(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,e21)) )],[refute_9_257,refute_9_263]) ).
cnf(refute_9_265,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) != op2(e22,e21)
| h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_9_266,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,e21)) )],[refute_9_264,refute_9_265]) ).
cnf(refute_9_267,plain,
h4(op1(e12,e11)) != op2(e22,e21),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) )],[refute_9_266,refute_9_253]) ).
cnf(refute_9_268,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(canonicalize,[],[normalize_9_60]) ).
cnf(refute_9_269,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_9_268,refute_9_125]) ).
cnf(refute_9_270,plain,
( op1(e12,e12) != e13
| e11 = e13
| op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_9_269,refute_9_111]) ).
cnf(refute_9_271,plain,
( e11 = e13
| op1(e12,e10) = e11
| op1(e12,e11) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_104,refute_9_270]) ).
cnf(refute_9_272,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_9_271,refute_9_114]) ).
cnf(refute_9_273,plain,
( h4(e11) != op2(e22,e21)
| op1(e12,e11) != e11
| h4(op1(e12,e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e22,e21)) ),[0,0],$fot(e11)]]) ).
cnf(refute_9_274,plain,
( h4(e11) != op2(e22,e21)
| h4(op1(e12,e11)) = op2(e22,e21)
| op1(e12,e10) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_9_272,refute_9_273]) ).
cnf(refute_9_275,plain,
( h4(e11) != op2(e22,e21)
| op1(e12,e10) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e22,e21)) )],[refute_9_274,refute_9_267]) ).
cnf(refute_9_276,plain,
( e21 != op2(e22,e21)
| h4(e11) != e21
| h4(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_9_277,plain,
( e21 != op2(e22,e21)
| h4(e11) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_244,refute_9_276]) ).
cnf(refute_9_278,plain,
( e21 != op2(e22,e21)
| op1(e12,e10) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e22,e21)) )],[refute_9_277,refute_9_275]) ).
cnf(refute_9_279,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_9_62]) ).
cnf(refute_9_280,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_9_63]) ).
cnf(refute_9_281,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_9_282,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_9_280,refute_9_281]) ).
cnf(refute_9_283,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e11)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_9_284,plain,
( op2(e21,e21) != e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_9_282,refute_9_283]) ).
cnf(refute_9_285,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_9_279,refute_9_284]) ).
cnf(refute_9_286,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_9_64]) ).
cnf(refute_9_287,plain,
( op2(e23,e21) != e21
| op2(e23,e23) != e21
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_9_288,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_241,refute_9_287]) ).
cnf(refute_9_289,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_9_288,refute_9_286]) ).
cnf(refute_9_290,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_9_285,refute_9_289]) ).
cnf(refute_9_291,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(canonicalize,[],[normalize_9_65]) ).
cnf(refute_9_292,plain,
op2(e21,h4(e11)) = op2(e21,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e11)))]]) ).
cnf(refute_9_293,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) != op2(e21,h4(e11))
| op2(e21,h4(e11)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_294,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) )],[refute_9_292,refute_9_293]) ).
cnf(refute_9_295,plain,
op2(e21,h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_244,refute_9_294]) ).
cnf(refute_9_296,plain,
op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_9_297,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_298,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_9_296,refute_9_297]) ).
cnf(refute_9_299,plain,
op2(h4(e11),h4(e11)) = op2(e21,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_244,refute_9_298]) ).
cnf(refute_9_300,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) != op2(e21,h4(e11))
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(subst,[],[refute_9_23:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,h4(e11)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_9_301,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,h4(e11))) )],[refute_9_299,refute_9_300]) ).
cnf(refute_9_302,plain,
op2(h4(e11),h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,e21)) )],[refute_9_295,refute_9_301]) ).
cnf(refute_9_303,plain,
( op2(e21,e21) != h2(e11)
| op2(h4(e11),h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(subst,[],[refute_9_23:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_9_304,plain,
( op2(e21,e21) != h2(e11)
| op2(h4(e11),h4(e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,e21)) )],[refute_9_302,refute_9_303]) ).
cnf(refute_9_305,plain,
op2(h4(e11),h4(e11)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_9_282,refute_9_304]) ).
cnf(refute_9_306,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) != h2(e11)
| h4(op1(e11,e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_9_307,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_9_305,refute_9_306]) ).
cnf(refute_9_308,plain,
h4(op1(e11,e11)) = h2(e11),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_9_291,refute_9_307]) ).
cnf(refute_9_309,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(canonicalize,[],[normalize_9_66]) ).
cnf(refute_9_310,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_9_311,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_9_282,refute_9_310]) ).
cnf(refute_9_312,plain,
( h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_9_309,refute_9_311]) ).
cnf(refute_9_313,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_9_67]) ).
cnf(refute_9_314,plain,
( op2(e20,e21) != e22
| op2(e20,e23) != e22
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_9_315,plain,
( op2(e20,e21) != e22
| op2(e20,e21) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_9_214,refute_9_314]) ).
cnf(refute_9_316,plain,
op2(e20,e21) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_9_315,refute_9_313]) ).
cnf(refute_9_317,plain,
( h2(e11) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_9_312,refute_9_316]) ).
cnf(refute_9_318,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_9_319,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_320,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_9_318,refute_9_319]) ).
cnf(refute_9_321,plain,
op2(e23,op2(e23,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_241,refute_9_320]) ).
cnf(refute_9_322,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e21)
| e20 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_9_323,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e21)) )],[refute_9_321,refute_9_322]) ).
cnf(refute_9_324,plain,
e20 = op2(e23,e21),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_9_8,refute_9_323]) ).
cnf(refute_9_325,plain,
( e20 != op2(e23,e21)
| op2(e23,e21) = e20 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_9_326,plain,
op2(e23,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_9_324,refute_9_325]) ).
cnf(refute_9_327,plain,
( op2(e23,e21) != e20
| op2(e23,e21) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e22) ),[0],$fot(e20)]]) ).
cnf(refute_9_328,plain,
( op2(e23,e21) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_9_326,refute_9_327]) ).
cnf(refute_9_329,plain,
( e20 = e22
| h2(e11) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_9_317,refute_9_328]) ).
cnf(refute_9_330,plain,
e20 != e22,
inference(canonicalize,[],[normalize_9_69]) ).
cnf(refute_9_331,plain,
( h2(e11) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_9_329,refute_9_330]) ).
cnf(refute_9_332,plain,
( h4(op1(e12,e11)) != e22
| op2(e22,e21) != e22
| h4(op1(e12,e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e22,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_9_333,plain,
( h4(op1(e12,e11)) != e22
| h2(e11) = e22
| h4(op1(e12,e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_9_331,refute_9_332]) ).
cnf(refute_9_334,plain,
( h4(op1(e12,e11)) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e22,e21)) )],[refute_9_333,refute_9_267]) ).
cnf(refute_9_335,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(canonicalize,[],[normalize_9_70]) ).
cnf(refute_9_336,plain,
op1(e10,e11) != op1(e10,e13),
inference(canonicalize,[],[normalize_9_71]) ).
cnf(refute_9_337,plain,
( op1(e10,e11) != e12
| op1(e10,e13) != e12
| op1(e10,e11) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_9_338,plain,
( op1(e10,e11) != e12
| op1(e10,e11) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_9_51,refute_9_337]) ).
cnf(refute_9_339,plain,
op1(e10,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_9_338,refute_9_336]) ).
cnf(refute_9_340,plain,
( op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_9_335,refute_9_339]) ).
cnf(refute_9_341,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_9_342,plain,
( op1(e13,e11) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_9_71,refute_9_341]) ).
cnf(refute_9_343,plain,
( e10 = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_9_340,refute_9_342]) ).
cnf(refute_9_344,plain,
( op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_9_343,refute_9_55]) ).
cnf(refute_9_345,plain,
( h4(e12) != e22
| op1(e12,e11) != e12
| h4(op1(e12,e11)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),e22) ),[0,0],$fot(e12)]]) ).
cnf(refute_9_346,plain,
( h4(e12) != e22
| h4(op1(e12,e11)) = e22
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_9_344,refute_9_345]) ).
cnf(refute_9_347,plain,
( h4(e12) != e22
| h2(e11) = e22
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e22) )],[refute_9_346,refute_9_334]) ).
cnf(refute_9_348,plain,
( e22 != e22
| h4(e12) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[1],$fot(e22)]]) ).
cnf(refute_9_349,plain,
( e22 != e22
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_220,refute_9_348]) ).
cnf(refute_9_350,plain,
( e22 != e22
| h2(e11) = e22
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_349,refute_9_347]) ).
cnf(refute_9_351,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_9_352,plain,
( h2(e11) = e22
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_9_351,refute_9_350]) ).
cnf(refute_9_353,plain,
( h4(op1(e11,e11)) != h2(e11)
| op1(e11,e11) != e12
| h4(e12) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e12)]]) ).
cnf(refute_9_354,plain,
( h4(op1(e11,e11)) != h2(e11)
| h2(e11) = e22
| h4(e12) = h2(e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_9_352,refute_9_353]) ).
cnf(refute_9_355,plain,
( h2(e11) = e22
| h4(e12) = h2(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_9_308,refute_9_354]) ).
cnf(refute_9_356,plain,
( h4(e12) != e22
| h4(e12) != h2(e11)
| e22 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h2(e11)) ),[0],$fot(e22)]]) ).
cnf(refute_9_357,plain,
( h4(e12) != h2(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_220,refute_9_356]) ).
cnf(refute_9_358,plain,
( e22 = h2(e11)
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h4(e12),h2(e11)) )],[refute_9_355,refute_9_357]) ).
cnf(refute_9_359,plain,
( h2(e11) != e22
| e22 = h2(e11) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(e22))]]) ).
cnf(refute_9_360,plain,
e22 = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_9_358,refute_9_359]) ).
cnf(refute_9_361,plain,
( e22 != h2(e11)
| h2(e11) = e22 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e22)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_9_362,plain,
h2(e11) = e22,
inference(resolve,[$cnf( $equal(e22,h2(e11)) )],[refute_9_360,refute_9_361]) ).
cnf(refute_9_363,plain,
( h2(e11) != e21
| h2(e11) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e21) ),[0],$fot(e22)]]) ).
cnf(refute_9_364,plain,
( h2(e11) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_9_362,refute_9_363]) ).
cnf(refute_9_365,plain,
( e22 = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_9_290,refute_9_364]) ).
cnf(refute_9_366,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_9_72]) ).
cnf(refute_9_367,plain,
( e22 != op2(e23,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_9_368,plain,
( e22 != op2(e23,e23)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_9_214,refute_9_367]) ).
cnf(refute_9_369,plain,
( e22 != e21
| op2(e23,e23) != e21
| e22 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_9_370,plain,
( e22 != e21
| e22 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_241,refute_9_369]) ).
cnf(refute_9_371,plain,
( e22 != e21
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_9_370,refute_9_368]) ).
cnf(refute_9_372,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_9_371,refute_9_366]) ).
cnf(refute_9_373,plain,
( op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_9_365,refute_9_372]) ).
cnf(refute_9_374,plain,
( e21 != e21
| op2(e22,e21) != e21
| e21 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_9_375,plain,
( e21 != e21
| e21 = op2(e22,e21)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_9_373,refute_9_374]) ).
cnf(refute_9_376,plain,
( e21 != e21
| op1(e12,e10) = e11
| op2(e20,e21) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_9_375,refute_9_278]) ).
cnf(refute_9_377,plain,
( e21 != e21
| op1(e12,e10) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_9_376,refute_9_252]) ).
cnf(refute_9_378,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_9_379,plain,
( op1(e12,e10) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_9_378,refute_9_377]) ).
cnf(refute_9_380,plain,
( op1(e12,e10) != e11
| op1(e12,e10) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[0],$fot(e11)]]) ).
cnf(refute_9_381,plain,
( op1(e12,e10) != e12
| e11 = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_9_379,refute_9_380]) ).
cnf(refute_9_382,plain,
( e11 = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_9_201,refute_9_381]) ).
cnf(refute_9_383,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_9_73]) ).
cnf(refute_9_384,plain,
( e12 != op1(e13,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e13,e13))]]) ).
cnf(refute_9_385,plain,
( e12 != op1(e13,e13)
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_9_51,refute_9_384]) ).
cnf(refute_9_386,plain,
( e12 != e11
| op1(e13,e13) != e11
| e12 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_9_387,plain,
( e12 != e11
| e12 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_62,refute_9_386]) ).
cnf(refute_9_388,plain,
( e12 != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_9_387,refute_9_385]) ).
cnf(refute_9_389,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_9_388,refute_9_383]) ).
cnf(refute_9_390,plain,
( e11 != e12
| e12 = e11 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e11)),bind(Y,$fot(e12))]]) ).
cnf(refute_9_391,plain,
e11 != e12,
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_9_390,refute_9_389]) ).
cnf(refute_9_392,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_9_382,refute_9_391]) ).
cnf(refute_9_393,plain,
( ~ definitionFOFtoCNF_0
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_9_392,refute_9_34]) ).
cnf(refute_9_394,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 ),
inference(canonicalize,[],[normalize_9_76]) ).
cnf(refute_9_395,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_9_77]) ).
cnf(refute_9_396,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_9_82]) ).
cnf(refute_9_397,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_9_398,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_9_399,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_9_397,refute_9_398]) ).
cnf(refute_9_400,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_62,refute_9_399]) ).
cnf(refute_9_401,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_9_402,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_9_403,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_9_401,refute_9_402]) ).
cnf(refute_9_404,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_62,refute_9_403]) ).
cnf(refute_9_405,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_9_23:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_9_406,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_9_404,refute_9_405]) ).
cnf(refute_9_407,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_9_400,refute_9_406]) ).
cnf(refute_9_408,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e13
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| op1(e11,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e13) ),[0],$fot(op1(e11,e11))]]) ).
cnf(refute_9_409,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_9_407,refute_9_408]) ).
cnf(refute_9_410,plain,
( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e13) )],[refute_9_396,refute_9_409]) ).
cnf(refute_9_411,plain,
( op1(e10,e11) != e13
| op1(e11,e11) != e13
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_9_412,plain,
( op1(e10,e11) != e13
| op1(e10,e11) = op1(e11,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_9_410,refute_9_411]) ).
cnf(refute_9_413,plain,
( op1(e10,e11) != e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_9_412,refute_9_395]) ).
cnf(refute_9_414,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(canonicalize,[],[normalize_9_83]) ).
cnf(refute_9_415,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_9_414,refute_9_339]) ).
cnf(refute_9_416,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_9_415,refute_9_74]) ).
cnf(refute_9_417,plain,
( e13 != e13
| op1(e10,e11) != e13
| op1(e10,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_9_418,plain,
( e13 != e13
| op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_9_416,refute_9_417]) ).
cnf(refute_9_419,plain,
( e13 != e13
| op1(e10,e11) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_9_418,refute_9_413]) ).
cnf(refute_9_420,plain,
( op1(e10,e11) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_9_137,refute_9_419]) ).
cnf(refute_9_421,plain,
op1(e10,e10) != op1(e10,e11),
inference(canonicalize,[],[normalize_9_84]) ).
cnf(refute_9_422,plain,
( op1(e10,e10) != e11
| op1(e10,e11) != e11
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_9_423,plain,
( op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_9_416,refute_9_422]) ).
cnf(refute_9_424,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_9_423,refute_9_421]) ).
cnf(refute_9_425,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_9_85]) ).
cnf(refute_9_426,plain,
op1(e10,op1(e13,e11)) = op1(e10,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e11)))]]) ).
cnf(refute_9_427,plain,
( op1(e10,op1(e13,e11)) != op1(e10,op1(e13,e11))
| op1(e13,e11) != e10
| op1(e10,op1(e13,e11)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,op1(e13,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_9_428,plain,
( op1(e13,e11) != e10
| op1(e10,op1(e13,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,op1(e13,e11))) )],[refute_9_426,refute_9_427]) ).
cnf(refute_9_429,plain,
op1(e10,op1(e13,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_9_71,refute_9_428]) ).
cnf(refute_9_430,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(op1(e13,e11),op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e11),op1(e13,e11)))]]) ).
cnf(refute_9_431,plain,
( op1(e13,e11) != e10
| op1(op1(e13,e11),op1(e13,e11)) != op1(op1(e13,e11),op1(e13,e11))
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(op1(e13,e11),op1(e13,e11))) ),[1,0],$fot(e10)]]) ).
cnf(refute_9_432,plain,
( op1(e13,e11) != e10
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(op1(e13,e11),op1(e13,e11))) )],[refute_9_430,refute_9_431]) ).
cnf(refute_9_433,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_9_71,refute_9_432]) ).
cnf(refute_9_434,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e10)
| op1(op1(e13,e11),op1(e13,e11)) != op1(e10,op1(e13,e11))
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10) ),
inference(subst,[],[refute_9_23:[bind(X,$fot(op1(op1(e13,e11),op1(e13,e11)))),bind(Y,$fot(op1(e10,op1(e13,e11)))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_9_435,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e10)
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(e10,op1(e13,e11))) )],[refute_9_433,refute_9_434]) ).
cnf(refute_9_436,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,e10)) )],[refute_9_429,refute_9_435]) ).
cnf(refute_9_437,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| op1(op1(e13,e11),op1(e13,e11)) != op1(e10,e10)
| op1(e10,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),e11) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_9_438,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(e10,e10)) )],[refute_9_436,refute_9_437]) ).
cnf(refute_9_439,plain,
( op1(e10,e10) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),e11) )],[refute_9_425,refute_9_438]) ).
cnf(refute_9_440,plain,
( e11 != e11
| op1(e10,e10) != e11
| op1(e10,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(e11)]]) ).
cnf(refute_9_441,plain,
( e11 != e11
| op1(e10,e10) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_9_439,refute_9_440]) ).
cnf(refute_9_442,plain,
( e11 != e11
| op1(e10,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_9_441,refute_9_424]) ).
cnf(refute_9_443,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_9_444,plain,
( op1(e10,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_9_443,refute_9_442]) ).
cnf(refute_9_445,plain,
( op1(e10,e11) != e11
| op1(e10,e11) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e13)]]) ).
cnf(refute_9_446,plain,
( op1(e10,e11) != e11
| e13 = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_9_444,refute_9_445]) ).
cnf(refute_9_447,plain,
( e13 = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_9_420,refute_9_446]) ).
cnf(refute_9_448,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_9_449,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_9_448,refute_9_114]) ).
cnf(refute_9_450,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_9_447,refute_9_449]) ).
cnf(refute_9_451,plain,
( op1(op1(e12,e10),op1(e12,e10)) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_9_450,refute_9_394]) ).
cnf(refute_9_452,plain,
op1(e10,e11) != op1(e12,e11),
inference(canonicalize,[],[normalize_9_86]) ).
cnf(refute_9_453,plain,
( op1(e10,e10) != e13
| op1(e10,e11) != e13
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_9_454,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = op1(e10,e11)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_9_416,refute_9_453]) ).
cnf(refute_9_455,plain,
( op1(e10,e10) != e13
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_9_454,refute_9_421]) ).
cnf(refute_9_456,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 ),
inference(canonicalize,[],[normalize_9_87]) ).
cnf(refute_9_457,plain,
( op1(op1(e12,e13),op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_9_450,refute_9_456]) ).
cnf(refute_9_458,plain,
( op1(e11,e13) != e13
| op1(e12,e13) != e13
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_9_459,plain,
( op1(e11,e13) != e13
| op1(e11,e13) = op1(e12,e13)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_9_133,refute_9_458]) ).
cnf(refute_9_460,plain,
( op1(e11,e13) != e13
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_9_459,refute_9_116]) ).
cnf(refute_9_461,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_9_88]) ).
cnf(refute_9_462,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e12)]]) ).
cnf(refute_9_463,plain,
( op1(e10,e13) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_9_51,refute_9_462]) ).
cnf(refute_9_464,plain,
( e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_9_461,refute_9_463]) ).
cnf(refute_9_465,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_9_466,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_62,refute_9_465]) ).
cnf(refute_9_467,plain,
( e11 = e13
| e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_9_464,refute_9_466]) ).
cnf(refute_9_468,plain,
( e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_9_467,refute_9_114]) ).
cnf(refute_9_469,plain,
e12 != e13,
inference(canonicalize,[],[normalize_9_89]) ).
cnf(refute_9_470,plain,
( op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_9_468,refute_9_469]) ).
cnf(refute_9_471,plain,
( op1(e12,e13) != e13
| op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(op1(e12,e13),e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_9_472,plain,
( op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e11,e13) = e13
| op1(op1(e12,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_9_470,refute_9_471]) ).
cnf(refute_9_473,plain,
( op1(e11,e13) = e13
| op1(op1(e12,e13),e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) )],[refute_9_457,refute_9_472]) ).
cnf(refute_9_474,plain,
( op1(e12,e13) != e13
| op1(op1(e12,e13),e13) != e13
| op1(e13,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_9_475,plain,
( op1(op1(e12,e13),e13) != e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_9_470,refute_9_474]) ).
cnf(refute_9_476,plain,
( op1(e11,e13) = e13
| op1(e13,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),e13) )],[refute_9_473,refute_9_475]) ).
cnf(refute_9_477,plain,
( e11 = e13
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_9_476,refute_9_466]) ).
cnf(refute_9_478,plain,
( op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_9_477,refute_9_114]) ).
cnf(refute_9_479,plain,
( e13 != e13
| op1(e11,e13) != e13
| op1(e11,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_9_480,plain,
( e13 != e13
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_9_478,refute_9_479]) ).
cnf(refute_9_481,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_9_480,refute_9_460]) ).
cnf(refute_9_482,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_9_137,refute_9_481]) ).
cnf(refute_9_483,plain,
( op1(e12,e13) != e10
| op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e10,op1(e12,e13)) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) ),[0,0],$fot(e10)]]) ).
cnf(refute_9_484,plain,
( op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e10,op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_9_482,refute_9_483]) ).
cnf(refute_9_485,plain,
( op1(e10,op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) )],[refute_9_457,refute_9_484]) ).
cnf(refute_9_486,plain,
( op1(e10,op1(e12,e13)) != e13
| op1(e12,e13) != e10
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e13)),e13) ),[0,1],$fot(e10)]]) ).
cnf(refute_9_487,plain,
( op1(e10,op1(e12,e13)) != e13
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_9_482,refute_9_486]) ).
cnf(refute_9_488,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e13)),e13) )],[refute_9_485,refute_9_487]) ).
cnf(refute_9_489,plain,
( e13 != e13
| op1(e10,e10) != e13
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(e13)]]) ).
cnf(refute_9_490,plain,
( e13 != e13
| op1(e10,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_9_488,refute_9_489]) ).
cnf(refute_9_491,plain,
( e13 != e13
| op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_9_490,refute_9_455]) ).
cnf(refute_9_492,plain,
( op1(e10,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_9_137,refute_9_491]) ).
cnf(refute_9_493,plain,
( e11 != op1(e12,e11)
| op1(e10,e11) != e11
| op1(e10,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_9_494,plain,
( e11 != op1(e12,e11)
| op1(e10,e11) = op1(e12,e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_9_492,refute_9_493]) ).
cnf(refute_9_495,plain,
( e11 != op1(e12,e11)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e11)) )],[refute_9_494,refute_9_452]) ).
cnf(refute_9_496,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_9_90]) ).
cnf(refute_9_497,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_9_91]) ).
cnf(refute_9_498,plain,
op1(e11,e12) != op1(e11,e13),
inference(canonicalize,[],[normalize_9_92]) ).
cnf(refute_9_499,plain,
( op1(e11,e12) != e13
| op1(e11,e13) != e13
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_9_500,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e11,e13)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_9_478,refute_9_499]) ).
cnf(refute_9_501,plain,
( op1(e11,e12) != e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_9_500,refute_9_498]) ).
cnf(refute_9_502,plain,
op1(e11,e11) != op1(e11,e12),
inference(canonicalize,[],[normalize_9_93]) ).
cnf(refute_9_503,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_9_94]) ).
cnf(refute_9_504,plain,
op2(e21,h4(e12)) = op2(e21,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).
cnf(refute_9_505,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) != op2(e21,h4(e12))
| op2(e21,h4(e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_9_506,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) )],[refute_9_504,refute_9_505]) ).
cnf(refute_9_507,plain,
op2(e21,h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_220,refute_9_506]) ).
cnf(refute_9_508,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_9_509,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_510,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_9_508,refute_9_509]) ).
cnf(refute_9_511,plain,
op2(h4(e11),h4(e12)) = op2(e21,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_244,refute_9_510]) ).
cnf(refute_9_512,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) != op2(e21,h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(subst,[],[refute_9_23:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).
cnf(refute_9_513,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,h4(e12))) )],[refute_9_511,refute_9_512]) ).
cnf(refute_9_514,plain,
op2(h4(e11),h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e22)) )],[refute_9_507,refute_9_513]) ).
cnf(refute_9_515,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(e21,e22)
| h4(op1(e11,e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_9_516,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,e22)) )],[refute_9_514,refute_9_515]) ).
cnf(refute_9_517,plain,
h4(op1(e11,e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_9_503,refute_9_516]) ).
cnf(refute_9_518,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(canonicalize,[],[normalize_9_95]) ).
cnf(refute_9_519,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_9_520,plain,
( op2(e21,e21) != h2(e11)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_9_521,plain,
( op2(e21,e21) != h2(e11)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_9_519,refute_9_520]) ).
cnf(refute_9_522,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_9_282,refute_9_521]) ).
cnf(refute_9_523,plain,
( h2(e10) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) != op2(e21,h2(e11))
| h2(e10) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e21,h2(e11))) ),[0],$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_9_524,plain,
( h2(e10) != op2(e21,op2(e21,e21))
| h2(e10) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e11))) )],[refute_9_522,refute_9_523]) ).
cnf(refute_9_525,plain,
h2(e10) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,op2(e21,e21))) )],[refute_9_518,refute_9_524]) ).
cnf(refute_9_526,plain,
op2(e21,h2(e11)) = op2(e21,h2(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h2(e11)))]]) ).
cnf(refute_9_527,plain,
( h2(e11) != e22
| op2(e21,h2(e11)) != op2(e21,h2(e11))
| op2(e21,h2(e11)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e11)),op2(e21,h2(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_9_528,plain,
( h2(e11) != e22
| op2(e21,h2(e11)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e11)),op2(e21,h2(e11))) )],[refute_9_526,refute_9_527]) ).
cnf(refute_9_529,plain,
op2(e21,h2(e11)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_9_362,refute_9_528]) ).
cnf(refute_9_530,plain,
( h2(e10) != op2(e21,h2(e11))
| op2(e21,h2(e11)) != op2(e21,e22)
| h2(e10) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e21,e22)) ),[0],$fot(op2(e21,h2(e11)))]]) ).
cnf(refute_9_531,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e10) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e11)),op2(e21,e22)) )],[refute_9_529,refute_9_530]) ).
cnf(refute_9_532,plain,
h2(e10) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) )],[refute_9_525,refute_9_531]) ).
cnf(refute_9_533,plain,
( h2(e10) != op2(e21,e22)
| op2(e21,e22) = h2(e10) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_9_534,plain,
op2(e21,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e22)) )],[refute_9_532,refute_9_533]) ).
cnf(refute_9_535,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| op2(e21,e22) != h2(e10)
| h4(op1(e11,e12)) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),h2(e10)) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_9_536,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e12)) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h2(e10)) )],[refute_9_534,refute_9_535]) ).
cnf(refute_9_537,plain,
h4(op1(e11,e12)) = h2(e10),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_9_517,refute_9_536]) ).
cnf(refute_9_538,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_9_96]) ).
cnf(refute_9_539,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_9_97]) ).
cnf(refute_9_540,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_9_98]) ).
cnf(refute_9_541,plain,
( op1(e10,e12) != e12
| op1(e10,e13) != e12
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_9_542,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_9_51,refute_9_541]) ).
cnf(refute_9_543,plain,
op1(e10,e12) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_9_542,refute_9_540]) ).
cnf(refute_9_544,plain,
( op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_9_539,refute_9_543]) ).
cnf(refute_9_545,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_9_99]) ).
cnf(refute_9_546,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_9_100]) ).
cnf(refute_9_547,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_9_101]) ).
cnf(refute_9_548,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_9_102]) ).
cnf(refute_9_549,plain,
( op1(e13,e10) != e11
| op1(e13,e13) != e11
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_9_550,plain,
( op1(e13,e10) != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_62,refute_9_549]) ).
cnf(refute_9_551,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_9_550,refute_9_548]) ).
cnf(refute_9_552,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_9_547,refute_9_551]) ).
cnf(refute_9_553,plain,
op1(e13,e10) != op1(e13,e11),
inference(canonicalize,[],[normalize_9_103]) ).
cnf(refute_9_554,plain,
( op1(e13,e10) != e10
| op1(e13,e11) != e10
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_9_555,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_9_71,refute_9_554]) ).
cnf(refute_9_556,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_9_555,refute_9_553]) ).
cnf(refute_9_557,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_9_552,refute_9_556]) ).
cnf(refute_9_558,plain,
( op1(e10,e10) != e13
| op1(e13,e10) != e13
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e13,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_9_559,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_9_557,refute_9_558]) ).
cnf(refute_9_560,plain,
( op1(e10,e10) != e13
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_9_559,refute_9_546]) ).
cnf(refute_9_561,plain,
( e13 != e13
| op1(e13,e10) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_9_490,refute_9_560]) ).
cnf(refute_9_562,plain,
( op1(e13,e10) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_9_137,refute_9_561]) ).
cnf(refute_9_563,plain,
( e12 != op1(e13,e12)
| op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_9_564,plain,
( e12 != op1(e13,e12)
| op1(e13,e10) = op1(e13,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_9_562,refute_9_563]) ).
cnf(refute_9_565,plain,
( e12 != op1(e13,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_9_564,refute_9_545]) ).
cnf(refute_9_566,plain,
( e12 != e12
| op1(e13,e12) != e12
| e12 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_9_567,plain,
( e12 != e12
| e12 = op1(e13,e12)
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_9_183,refute_9_566]) ).
cnf(refute_9_568,plain,
( e12 != e12
| op1(e13,e12) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e12)) )],[refute_9_567,refute_9_565]) ).
cnf(refute_9_569,plain,
( op1(e13,e12) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_9_196,refute_9_568]) ).
cnf(refute_9_570,plain,
( op1(e13,e12) != e12
| op1(e13,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_9_571,plain,
( op1(e13,e12) != e12
| e13 = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_9_569,refute_9_570]) ).
cnf(refute_9_572,plain,
( e13 = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_9_544,refute_9_571]) ).
cnf(refute_9_573,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_9_574,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_9_573,refute_9_469]) ).
cnf(refute_9_575,plain,
( op1(e11,e12) = e12
| op1(e12,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_9_572,refute_9_574]) ).
cnf(refute_9_576,plain,
( op1(e12,e11) != e12
| op1(e12,e12) != e12
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_9_577,plain,
( op1(e12,e11) != e12
| op1(e11,e12) = e12
| op1(e12,e11) = op1(e12,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_9_575,refute_9_576]) ).
cnf(refute_9_578,plain,
( op1(e12,e11) != e12
| op1(e11,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_9_577,refute_9_538]) ).
cnf(refute_9_579,plain,
( e12 != e12
| op1(e12,e11) != e12
| op1(e12,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0,0],$fot(e12)]]) ).
cnf(refute_9_580,plain,
( e12 != e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_9_344,refute_9_579]) ).
cnf(refute_9_581,plain,
( e12 != e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_9_580,refute_9_578]) ).
cnf(refute_9_582,plain,
( op1(e11,e11) = e12
| op1(e11,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_9_196,refute_9_581]) ).
cnf(refute_9_583,plain,
( h4(op1(e11,e12)) != h2(e10)
| op1(e11,e12) != e12
| h4(e12) = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h2(e10)) ),[0,0],$fot(e12)]]) ).
cnf(refute_9_584,plain,
( h4(op1(e11,e12)) != h2(e10)
| h4(e12) = h2(e10)
| op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_9_582,refute_9_583]) ).
cnf(refute_9_585,plain,
( h4(e12) = h2(e10)
| op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h2(e10)) )],[refute_9_537,refute_9_584]) ).
cnf(refute_9_586,plain,
( h4(e12) != e22
| h4(e12) != h2(e10)
| e22 = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h2(e10)) ),[0],$fot(e22)]]) ).
cnf(refute_9_587,plain,
( h4(e12) != h2(e10)
| e22 = h2(e10) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_220,refute_9_586]) ).
cnf(refute_9_588,plain,
( e22 = h2(e10)
| op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e12),h2(e10)) )],[refute_9_585,refute_9_587]) ).
cnf(refute_9_589,plain,
op2(e21,e21) != op2(e21,e22),
inference(canonicalize,[],[normalize_9_104]) ).
cnf(refute_9_590,plain,
( h2(e11) != op2(e21,e22)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_9_591,plain,
( h2(e11) != op2(e21,e22)
| op2(e21,e21) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_9_282,refute_9_590]) ).
cnf(refute_9_592,plain,
h2(e11) != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e22)) )],[refute_9_591,refute_9_589]) ).
cnf(refute_9_593,plain,
( e22 != op2(e21,e22)
| h2(e11) != e22
| h2(e11) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_9_594,plain,
( e22 != op2(e21,e22)
| h2(e11) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_9_362,refute_9_593]) ).
cnf(refute_9_595,plain,
( e22 != h2(e10)
| op2(e21,e22) != h2(e10)
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e22)) ),[1],$fot(h2(e10))]]) ).
cnf(refute_9_596,plain,
( e22 != h2(e10)
| e22 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h2(e10)) )],[refute_9_534,refute_9_595]) ).
cnf(refute_9_597,plain,
( e22 != h2(e10)
| h2(e11) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_9_596,refute_9_594]) ).
cnf(refute_9_598,plain,
e22 != h2(e10),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e22)) )],[refute_9_597,refute_9_592]) ).
cnf(refute_9_599,plain,
( op1(e11,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e22,h2(e10)) )],[refute_9_588,refute_9_598]) ).
cnf(refute_9_600,plain,
( e12 != op1(e11,e12)
| op1(e11,e11) != e12
| op1(e11,e11) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_9_601,plain,
( e12 != op1(e11,e12)
| op1(e11,e11) = op1(e11,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_9_599,refute_9_600]) ).
cnf(refute_9_602,plain,
( e12 != op1(e11,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e12)) )],[refute_9_601,refute_9_502]) ).
cnf(refute_9_603,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_9_105]) ).
cnf(refute_9_604,plain,
( e12 != e12
| op1(e11,e12) != e12
| e12 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_9_605,plain,
( e12 != e12
| e12 = op1(e11,e12)
| op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_9_603,refute_9_604]) ).
cnf(refute_9_606,plain,
( e12 != e12
| op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e12)) )],[refute_9_605,refute_9_602]) ).
cnf(refute_9_607,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_9_196,refute_9_606]) ).
cnf(refute_9_608,plain,
( e13 != e13
| op1(e11,e12) != e13
| op1(e11,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e13) ),[1],$fot(e13)]]) ).
cnf(refute_9_609,plain,
( e13 != e13
| op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_9_607,refute_9_608]) ).
cnf(refute_9_610,plain,
( e13 != e13
| op1(e11,e12) = e10
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_9_609,refute_9_501]) ).
cnf(refute_9_611,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_9_137,refute_9_610]) ).
cnf(refute_9_612,plain,
( op1(e10,e12) != e10
| op1(e11,e12) != e10
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_9_613,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_9_611,refute_9_612]) ).
cnf(refute_9_614,plain,
( op1(e10,e12) != e10
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_9_613,refute_9_497]) ).
cnf(refute_9_615,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_9_106]) ).
cnf(refute_9_616,plain,
( e13 != op1(e10,e12)
| op1(e10,e10) != e13
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_9_617,plain,
( e13 != op1(e10,e12)
| op1(e10,e10) = op1(e10,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_9_488,refute_9_616]) ).
cnf(refute_9_618,plain,
( e13 != op1(e10,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_9_617,refute_9_615]) ).
cnf(refute_9_619,plain,
op1(e10,e11) != op1(e10,e12),
inference(canonicalize,[],[normalize_9_107]) ).
cnf(refute_9_620,plain,
( e11 != op1(e10,e12)
| op1(e10,e11) != e11
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_9_621,plain,
( e11 != op1(e10,e12)
| op1(e10,e11) = op1(e10,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_9_492,refute_9_620]) ).
cnf(refute_9_622,plain,
( e11 != op1(e10,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_9_621,refute_9_619]) ).
cnf(refute_9_623,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_9_108]) ).
cnf(refute_9_624,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_9_623,refute_9_543]) ).
cnf(refute_9_625,plain,
( e11 != e11
| op1(e10,e12) != e11
| e11 = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_9_626,plain,
( e11 != e11
| e11 = op1(e10,e12)
| op1(e10,e12) = e10
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_9_624,refute_9_625]) ).
cnf(refute_9_627,plain,
( e11 != e11
| op1(e10,e12) = e10
| op1(e10,e12) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,op1(e10,e12)) )],[refute_9_626,refute_9_622]) ).
cnf(refute_9_628,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_9_443,refute_9_627]) ).
cnf(refute_9_629,plain,
( e13 != e13
| op1(e10,e12) != e13
| e13 = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e10,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_9_630,plain,
( e13 != e13
| e13 = op1(e10,e12)
| op1(e10,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_9_628,refute_9_629]) ).
cnf(refute_9_631,plain,
( e13 != e13
| op1(e10,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,op1(e10,e12)) )],[refute_9_630,refute_9_618]) ).
cnf(refute_9_632,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_9_137,refute_9_631]) ).
cnf(refute_9_633,plain,
( e10 != e10
| op1(e10,e12) != e10
| op1(e10,e12) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_9_634,plain,
( e10 != e10
| op1(e10,e12) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_9_632,refute_9_633]) ).
cnf(refute_9_635,plain,
( e10 != e10
| op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_9_634,refute_9_614]) ).
cnf(refute_9_636,plain,
( op1(e11,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_9_151,refute_9_635]) ).
cnf(refute_9_637,plain,
( e11 != op1(e12,e12)
| op1(e11,e12) != e11
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_9_638,plain,
( e11 != op1(e12,e12)
| op1(e11,e12) = op1(e12,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_9_636,refute_9_637]) ).
cnf(refute_9_639,plain,
( e11 != op1(e12,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_9_638,refute_9_496]) ).
cnf(refute_9_640,plain,
( e11 != e11
| op1(e12,e12) != e11
| e11 = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_9_641,plain,
( e11 != e11
| e11 = op1(e12,e12)
| op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_9_269,refute_9_640]) ).
cnf(refute_9_642,plain,
( e11 != e11
| op1(e12,e10) = e11
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,op1(e12,e12)) )],[refute_9_641,refute_9_639]) ).
cnf(refute_9_643,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_9_443,refute_9_642]) ).
cnf(refute_9_644,plain,
( e11 != e11
| op1(e12,e11) != e11
| e11 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_9_645,plain,
( e11 != e11
| e11 = op1(e12,e11)
| op1(e12,e10) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_9_643,refute_9_644]) ).
cnf(refute_9_646,plain,
( e11 != e11
| op1(e12,e10) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,op1(e12,e11)) )],[refute_9_645,refute_9_495]) ).
cnf(refute_9_647,plain,
( op1(e12,e10) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_9_443,refute_9_646]) ).
cnf(refute_9_648,plain,
( op1(e12,e10) != e11
| op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(e11,op1(e12,e10)) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),op1(e12,e10)),e10) ),[0,0],$fot(e11)]]) ).
cnf(refute_9_649,plain,
( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(e11,op1(e12,e10)) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_9_647,refute_9_648]) ).
cnf(refute_9_650,plain,
( op1(e11,op1(e12,e10)) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),op1(e12,e10)),e10) )],[refute_9_451,refute_9_649]) ).
cnf(refute_9_651,plain,
( op1(e11,op1(e12,e10)) != e10
| op1(e12,e10) != e11
| op1(e11,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e10)),e10) ),[0,1],$fot(e11)]]) ).
cnf(refute_9_652,plain,
( op1(e11,op1(e12,e10)) != e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_9_647,refute_9_651]) ).
cnf(refute_9_653,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e10)),e10) )],[refute_9_650,refute_9_652]) ).
cnf(refute_9_654,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_9_653,refute_9_146]) ).
cnf(refute_9_655,plain,
op1(op1(e11,e13),op1(e11,e13)) = e13,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_9_654,refute_9_393]) ).
cnf(refute_9_656,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_9_109]) ).
cnf(refute_9_657,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_9_110]) ).
cnf(refute_9_658,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_9_659,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_62,refute_9_658]) ).
cnf(refute_9_660,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_9_659,refute_9_657]) ).
cnf(refute_9_661,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_9_656,refute_9_660]) ).
cnf(refute_9_662,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_9_111]) ).
cnf(refute_9_663,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_9_664,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_9_51,refute_9_663]) ).
cnf(refute_9_665,plain,
e12 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_9_664,refute_9_662]) ).
cnf(refute_9_666,plain,
( op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_9_667,plain,
op1(e11,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_9_666,refute_9_665]) ).
cnf(refute_9_668,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_9_661,refute_9_667]) ).
cnf(refute_9_669,plain,
( op1(e11,e13) != e13
| op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(op1(e11,e13),e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_9_670,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(e11,e13) = e10
| op1(op1(e11,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_9_668,refute_9_669]) ).
cnf(refute_9_671,plain,
( op1(e11,e13) = e10
| op1(op1(e11,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) )],[refute_9_655,refute_9_670]) ).
cnf(refute_9_672,plain,
( op1(e11,e13) != e13
| op1(op1(e11,e13),e13) != e13
| op1(e13,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_9_673,plain,
( op1(op1(e11,e13),e13) != e13
| op1(e11,e13) = e10
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_9_668,refute_9_672]) ).
cnf(refute_9_674,plain,
( op1(e11,e13) = e10
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),e13) )],[refute_9_671,refute_9_673]) ).
cnf(refute_9_675,plain,
( e11 = e13
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_9_674,refute_9_466]) ).
cnf(refute_9_676,plain,
op1(e11,e13) = e10,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_9_675,refute_9_114]) ).
cnf(refute_9_677,plain,
op1(e10,op1(e11,e13)) = op1(e10,op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e11,e13)))]]) ).
cnf(refute_9_678,plain,
( op1(e10,op1(e11,e13)) != op1(e10,op1(e11,e13))
| op1(e11,e13) != e10
| op1(e10,op1(e11,e13)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,op1(e11,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_9_679,plain,
( op1(e11,e13) != e10
| op1(e10,op1(e11,e13)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,op1(e11,e13))) )],[refute_9_677,refute_9_678]) ).
cnf(refute_9_680,plain,
op1(e10,op1(e11,e13)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_9_676,refute_9_679]) ).
cnf(refute_9_681,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(op1(e11,e13),op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e11,e13),op1(e11,e13)))]]) ).
cnf(refute_9_682,plain,
( op1(e11,e13) != e10
| op1(op1(e11,e13),op1(e11,e13)) != op1(op1(e11,e13),op1(e11,e13))
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(op1(e11,e13),op1(e11,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_9_683,plain,
( op1(e11,e13) != e10
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(op1(e11,e13),op1(e11,e13))) )],[refute_9_681,refute_9_682]) ).
cnf(refute_9_684,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_9_676,refute_9_683]) ).
cnf(refute_9_685,plain,
( op1(e10,op1(e11,e13)) != op1(e10,e10)
| op1(op1(e11,e13),op1(e11,e13)) != op1(e10,op1(e11,e13))
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10) ),
inference(subst,[],[refute_9_23:[bind(X,$fot(op1(op1(e11,e13),op1(e11,e13)))),bind(Y,$fot(op1(e10,op1(e11,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_9_686,plain,
( op1(e10,op1(e11,e13)) != op1(e10,e10)
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(e10,op1(e11,e13))) )],[refute_9_684,refute_9_685]) ).
cnf(refute_9_687,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,e10)) )],[refute_9_680,refute_9_686]) ).
cnf(refute_9_688,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(op1(e11,e13),op1(e11,e13)) != op1(e10,e10)
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_9_689,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(e10,e10)) )],[refute_9_687,refute_9_688]) ).
cnf(refute_9_690,plain,
op1(e10,e10) = e13,
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) )],[refute_9_655,refute_9_689]) ).
cnf(refute_9_691,plain,
h4(op1(e10,e10)) = h4(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).
cnf(refute_9_692,plain,
( h4(op1(e10,e10)) != h4(op1(e10,e10))
| op1(e10,e10) != e13
| h4(op1(e10,e10)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) ),[1,0],$fot(e13)]]) ).
cnf(refute_9_693,plain,
( op1(e10,e10) != e13
| h4(op1(e10,e10)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_9_691,refute_9_692]) ).
cnf(refute_9_694,plain,
h4(op1(e10,e10)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_9_690,refute_9_693]) ).
cnf(refute_9_695,plain,
( h4(e13) != e23
| h4(op1(e10,e10)) != h4(e13)
| h4(op1(e10,e10)) = e23 ),
inference(subst,[],[refute_9_23:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_9_696,plain,
( h4(e13) != e23
| h4(op1(e10,e10)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e13)) )],[refute_9_694,refute_9_695]) ).
cnf(refute_9_697,plain,
h4(op1(e10,e10)) = e23,
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_9_33,refute_9_696]) ).
cnf(refute_9_698,plain,
( h4(op1(e10,e10)) != e23
| h4(op1(e10,e10)) != h1(e11)
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_9_699,plain,
( h4(op1(e10,e10)) != h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e23) )],[refute_9_697,refute_9_698]) ).
cnf(refute_9_700,plain,
e23 = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_9_32,refute_9_699]) ).
cnf(refute_9_701,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_9_112]) ).
cnf(refute_9_702,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_9_703,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_9_6,refute_9_702]) ).
cnf(refute_9_704,plain,
h1(e11) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_9_703,refute_9_701]) ).
cnf(refute_9_705,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_9_113]) ).
cnf(refute_9_706,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_9_707,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) != op2(e20,h4(e11))
| op2(e20,h4(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_708,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_9_706,refute_9_707]) ).
cnf(refute_9_709,plain,
op2(e20,h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_244,refute_9_708]) ).
cnf(refute_9_710,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_9_711,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_9_712,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_9_710,refute_9_711]) ).
cnf(refute_9_713,plain,
op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_9_13,refute_9_712]) ).
cnf(refute_9_714,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_9_23:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_9_715,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_9_713,refute_9_714]) ).
cnf(refute_9_716,plain,
op2(h4(e10),h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_9_709,refute_9_715]) ).
cnf(refute_9_717,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_9_718,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_9_716,refute_9_717]) ).
cnf(refute_9_719,plain,
h4(op1(e10,e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_9_705,refute_9_718]) ).
cnf(refute_9_720,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op1(e10,e11) != e11
| h4(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0,0],$fot(e11)]]) ).
cnf(refute_9_721,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(e11) = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_9_416,refute_9_720]) ).
cnf(refute_9_722,plain,
( h4(e11) = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_9_719,refute_9_721]) ).
cnf(refute_9_723,plain,
( h4(e11) != e21
| h4(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e20,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_9_724,plain,
( h4(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_244,refute_9_723]) ).
cnf(refute_9_725,plain,
( e21 = op2(e20,e21)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e21)) )],[refute_9_722,refute_9_724]) ).
cnf(refute_9_726,plain,
op2(e22,e21) != op2(e22,e23),
inference(canonicalize,[],[normalize_9_114]) ).
cnf(refute_9_727,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_9_115]) ).
cnf(refute_9_728,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_9_117]) ).
cnf(refute_9_729,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_9_118]) ).
cnf(refute_9_730,plain,
( op2(e22,e23) != e21
| op2(e23,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_9_731,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_241,refute_9_730]) ).
cnf(refute_9_732,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_9_731,refute_9_729]) ).
cnf(refute_9_733,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_9_728,refute_9_732]) ).
cnf(refute_9_734,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_9_119]) ).
cnf(refute_9_735,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_9_736,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_9_214,refute_9_735]) ).
cnf(refute_9_737,plain,
e22 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_9_736,refute_9_734]) ).
cnf(refute_9_738,plain,
( op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
inference(subst,[],[refute_9_4:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_9_739,plain,
op2(e22,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_9_738,refute_9_737]) ).
cnf(refute_9_740,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_9_733,refute_9_739]) ).
cnf(refute_9_741,plain,
( op2(e21,e23) != e20
| op2(e22,e23) != e20
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_9_742,plain,
( op2(e21,e23) != e20
| op2(e21,e23) = op2(e22,e23)
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_9_740,refute_9_741]) ).
cnf(refute_9_743,plain,
( op2(e21,e23) != e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_9_742,refute_9_727]) ).
cnf(refute_9_744,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(canonicalize,[],[normalize_9_120]) ).
cnf(refute_9_745,plain,
op2(e21,h4(e13)) = op2(e21,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_9_746,plain,
( h4(e13) != e23
| op2(e21,h4(e13)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_9_747,plain,
( h4(e13) != e23
| op2(e21,h4(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_9_745,refute_9_746]) ).
cnf(refute_9_748,plain,
op2(e21,h4(e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_9_33,refute_9_747]) ).
cnf(refute_9_749,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_9_750,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_751,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) )],[refute_9_749,refute_9_750]) ).
cnf(refute_9_752,plain,
op2(h4(e11),h4(e13)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_244,refute_9_751]) ).
cnf(refute_9_753,plain,
( op2(e21,h4(e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) != op2(e21,h4(e13))
| op2(h4(e11),h4(e13)) = op2(e21,e23) ),
inference(subst,[],[refute_9_23:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(e21,h4(e13)))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_9_754,plain,
( op2(e21,h4(e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,h4(e13))) )],[refute_9_752,refute_9_753]) ).
cnf(refute_9_755,plain,
op2(h4(e11),h4(e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e23)) )],[refute_9_748,refute_9_754]) ).
cnf(refute_9_756,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) != op2(e21,e23)
| h4(op1(e11,e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0],$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_9_757,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,e23)) )],[refute_9_755,refute_9_756]) ).
cnf(refute_9_758,plain,
h4(op1(e11,e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_9_744,refute_9_757]) ).
cnf(refute_9_759,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| op1(e11,e13) != e10
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0,0],$fot(e10)]]) ).
cnf(refute_9_760,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| h4(e10) = op2(e21,e23)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_9_668,refute_9_759]) ).
cnf(refute_9_761,plain,
( h4(e10) = op2(e21,e23)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_9_758,refute_9_760]) ).
cnf(refute_9_762,plain,
( h4(e10) != e20
| h4(e10) != op2(e21,e23)
| e20 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e21,e23)) ),[0],$fot(e20)]]) ).
cnf(refute_9_763,plain,
( h4(e10) != op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_9_13,refute_9_762]) ).
cnf(refute_9_764,plain,
( e20 = op2(e21,e23)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_9_761,refute_9_763]) ).
cnf(refute_9_765,plain,
( e20 != op2(e21,e23)
| op2(e21,e23) = e20 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_9_766,plain,
( op1(e11,e13) = e13
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e23)) )],[refute_9_764,refute_9_765]) ).
cnf(refute_9_767,plain,
( e20 != e20
| op2(e21,e23) != e20
| op2(e21,e23) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[1],$fot(e20)]]) ).
cnf(refute_9_768,plain,
( e20 != e20
| op1(e11,e13) = e13
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_9_766,refute_9_767]) ).
cnf(refute_9_769,plain,
( e20 != e20
| op1(e11,e13) = e13
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_9_768,refute_9_743]) ).
cnf(refute_9_770,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_9_771,plain,
( op1(e11,e13) = e13
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_9_770,refute_9_769]) ).
cnf(refute_9_772,plain,
( op2(e22,e21) != e23
| op2(e22,e23) != e23
| op2(e22,e21) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_9_773,plain,
( op2(e22,e21) != e23
| op1(e11,e13) = e13
| op2(e22,e21) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_9_771,refute_9_772]) ).
cnf(refute_9_774,plain,
( op2(e22,e21) != e23
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e23)) )],[refute_9_773,refute_9_726]) ).
cnf(refute_9_775,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_9_121]) ).
cnf(refute_9_776,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_9_777,plain,
( op2(e21,e21) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_9_282,refute_9_776]) ).
cnf(refute_9_778,plain,
( h2(e11) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_9_775,refute_9_777]) ).
cnf(refute_9_779,plain,
( op2(e23,e21) != e20
| op2(e23,e21) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e20)]]) ).
cnf(refute_9_780,plain,
( op2(e23,e21) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_9_326,refute_9_779]) ).
cnf(refute_9_781,plain,
( e20 = e23
| h2(e11) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_9_778,refute_9_780]) ).
cnf(refute_9_782,plain,
e20 != e23,
inference(canonicalize,[],[normalize_9_122]) ).
cnf(refute_9_783,plain,
( h2(e11) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_9_781,refute_9_782]) ).
cnf(refute_9_784,plain,
( e23 != e23
| op2(e22,e21) != e23
| op2(e22,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_9_785,plain,
( e23 != e23
| h2(e11) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_9_783,refute_9_784]) ).
cnf(refute_9_786,plain,
( e23 != e23
| h2(e11) = e23
| op1(e11,e13) = e13
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_9_785,refute_9_774]) ).
cnf(refute_9_787,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_9_788,plain,
( h2(e11) = e23
| op1(e11,e13) = e13
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_9_787,refute_9_786]) ).
cnf(refute_9_789,plain,
( e21 != op2(e20,e21)
| op2(e20,e21) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e23) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_9_790,plain,
( e21 != op2(e20,e21)
| e21 = e23
| h2(e11) = e23
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_9_788,refute_9_789]) ).
cnf(refute_9_791,plain,
( e21 = e23
| h2(e11) = e23
| op1(e10,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_9_725,refute_9_790]) ).
cnf(refute_9_792,plain,
e21 != e23,
inference(canonicalize,[],[normalize_9_123]) ).
cnf(refute_9_793,plain,
( h2(e11) = e23
| op1(e10,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_791,refute_9_792]) ).
cnf(refute_9_794,plain,
( h2(e11) != e22
| h2(e11) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e23) ),[0],$fot(e22)]]) ).
cnf(refute_9_795,plain,
( h2(e11) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_9_362,refute_9_794]) ).
cnf(refute_9_796,plain,
( e22 = e23
| op1(e10,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_9_793,refute_9_795]) ).
cnf(refute_9_797,plain,
e22 != e23,
inference(canonicalize,[],[normalize_9_124]) ).
cnf(refute_9_798,plain,
( op1(e10,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_9_796,refute_9_797]) ).
cnf(refute_9_799,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(e10,e11) = e13
| op1(op1(e11,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_9_798,refute_9_669]) ).
cnf(refute_9_800,plain,
( op1(e10,e11) = e13
| op1(op1(e11,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) )],[refute_9_655,refute_9_799]) ).
cnf(refute_9_801,plain,
( op1(op1(e11,e13),e13) != e13
| op1(e10,e11) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_9_798,refute_9_672]) ).
cnf(refute_9_802,plain,
( op1(e10,e11) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),e13) )],[refute_9_800,refute_9_801]) ).
cnf(refute_9_803,plain,
( e11 = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_9_802,refute_9_466]) ).
cnf(refute_9_804,plain,
op1(e10,e11) = e13,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_9_803,refute_9_114]) ).
cnf(refute_9_805,plain,
h4(op1(e10,e11)) = h4(op1(e10,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e11)))]]) ).
cnf(refute_9_806,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e11))
| op1(e10,e11) != e13
| h4(op1(e10,e11)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) ),[1,0],$fot(e13)]]) ).
cnf(refute_9_807,plain,
( op1(e10,e11) != e13
| h4(op1(e10,e11)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) )],[refute_9_805,refute_9_806]) ).
cnf(refute_9_808,plain,
h4(op1(e10,e11)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_9_804,refute_9_807]) ).
cnf(refute_9_809,plain,
( h4(e13) != e23
| h4(op1(e10,e11)) != h4(e13)
| h4(op1(e10,e11)) = e23 ),
inference(subst,[],[refute_9_23:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_9_810,plain,
( h4(e13) != e23
| h4(op1(e10,e11)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(e13)) )],[refute_9_808,refute_9_809]) ).
cnf(refute_9_811,plain,
h4(op1(e10,e11)) = e23,
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_9_33,refute_9_810]) ).
cnf(refute_9_812,plain,
( h4(op1(e10,e11)) != e23
| h4(op1(e10,e11)) != op2(e20,e21)
| e23 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(e23)]]) ).
cnf(refute_9_813,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| e23 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e23) )],[refute_9_811,refute_9_812]) ).
cnf(refute_9_814,plain,
e23 = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_9_719,refute_9_813]) ).
cnf(refute_9_815,plain,
( e23 != op2(e20,e21)
| op2(e20,e21) = e23 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_9_816,plain,
op2(e20,e21) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_9_814,refute_9_815]) ).
cnf(refute_9_817,plain,
( h1(e11) != e23
| op2(e20,e21) != e23
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_9_818,plain,
( h1(e11) != e23
| h1(e11) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_9_816,refute_9_817]) ).
cnf(refute_9_819,plain,
h1(e11) != e23,
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_9_818,refute_9_704]) ).
cnf(refute_9_820,plain,
( e23 != h1(e11)
| h1(e11) = e23 ),
inference(subst,[],[refute_9_4:[bind(X,$fot(e23)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_9_821,plain,
e23 != h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_9_820,refute_9_819]) ).
cnf(refute_9_822,plain,
$false,
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_9_700,refute_9_821]) ).
fof(negate_10_0,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 )
& ( 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)) ),
inference(negate,[],[subgoal_10]) ).
fof(normalize_10_0,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_10_1,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_2,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_3,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,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) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_10_4,plain,
op1(e10,e10) != op1(e10,e11),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_5,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_10_6,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(conjunct,[],[normalize_10_5]) ).
fof(normalize_10_7,plain,
op1(e10,e11) != op1(e10,e13),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_8,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_9,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_10,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13 )
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_10_11,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_10_12,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13 ) ) ),
inference(simplify,[],[normalize_10_10,normalize_10_11]) ).
fof(normalize_10_13,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e10),op1(e11,e10)) = e10 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e11),op1(e11,e11)) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e12),op1(e11,e12)) = e12 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 )
& ( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e11,e12),op1(e11,e12)) != e12
| op1(op1(e11,e13),op1(e11,e13)) != e13
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_10_12]) ).
fof(normalize_10_14,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(conjunct,[],[normalize_10_13]) ).
fof(normalize_10_15,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
& 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))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_10_0]) ).
fof(normalize_10_16,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_10_17,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_10_16]) ).
fof(normalize_10_18,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_10_19,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_10_18]) ).
fof(normalize_10_20,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_10_21,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_10_20]) ).
fof(normalize_10_22,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
& 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))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_10_15,normalize_10_17,normalize_10_19,normalize_10_21]) ).
fof(normalize_10_23,plain,
h4(op1(e12,e12)) != op2(h4(e12),h4(e12)),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_24,plain,
h3(e11) = op2(e22,e22),
inference(conjunct,[],[normalize_10_20]) ).
fof(normalize_10_25,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_10_26,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_10_25]) ).
fof(normalize_10_27,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_10_28,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_10_27]) ).
fof(normalize_10_29,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_10_27]) ).
fof(normalize_10_30,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e11),op1(e10,e11)) = e11
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e12),op1(e10,e12)) = e12
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 )
& ( op1(op1(e10,e10),op1(e10,e10)) != e10
| op1(op1(e10,e11),op1(e10,e11)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e12
| op1(op1(e10,e13),op1(e10,e13)) != e13
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_10_11]) ).
fof(normalize_10_31,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_10_30]) ).
fof(normalize_10_32,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_10_25]) ).
fof(normalize_10_33,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_10_34,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e21),op2(e20,e21)) = e21
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_10_33]) ).
fof(normalize_10_35,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_10_34]) ).
fof(normalize_10_36,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_10_37,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(simplify,[],[normalize_10_36,normalize_10_33]) ).
fof(normalize_10_38,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e22),op2(e21,e22)) = e22 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_10_37]) ).
fof(normalize_10_39,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(conjunct,[],[normalize_10_38]) ).
fof(normalize_10_40,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23 ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_10_41,plain,
( ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e22),op2(e22,e22)) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 )
& ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_10_40]) ).
fof(normalize_10_42,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference(conjunct,[],[normalize_10_41]) ).
fof(normalize_10_43,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,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) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_10_44,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_45,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_10_16]) ).
fof(normalize_10_46,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_47,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_10_18]) ).
fof(normalize_10_48,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_10_49,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(conjunct,[],[normalize_10_48]) ).
fof(normalize_10_50,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_51,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_52,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_10_27]) ).
fof(normalize_10_53,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_10_54,plain,
( definitionFOFtoCNF_3
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_10_53,normalize_10_37,normalize_10_33]) ).
fof(normalize_10_55,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_10_54,normalize_10_40]) ).
fof(normalize_10_56,plain,
( ( op2(op2(e23,e20),op2(e23,e20)) = e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e22
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_10_55]) ).
fof(normalize_10_57,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_10_56]) ).
fof(normalize_10_58,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_10_56]) ).
fof(normalize_10_59,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_60,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_10_48]) ).
fof(normalize_10_61,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_62,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_63,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_64,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_10_25]) ).
fof(normalize_10_65,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_10_5]) ).
fof(normalize_10_66,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_67,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_68,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_10_25]) ).
fof(normalize_10_69,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_10_70,plain,
e21 != e23,
inference(conjunct,[],[normalize_10_69]) ).
fof(normalize_10_71,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_72,plain,
op1(e12,e10) != op1(e12,e13),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_73,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_74,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_10_5]) ).
fof(normalize_10_75,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_76,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_77,plain,
( ( 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(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_10_78,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(conjunct,[],[normalize_10_77]) ).
fof(normalize_10_79,plain,
op1(e13,e10) != op1(e13,e11),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_80,plain,
op2(e22,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_81,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_82,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_10_48]) ).
fof(normalize_10_83,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_84,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_85,plain,
h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_86,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_87,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_88,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_10_5]) ).
fof(normalize_10_89,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_90,plain,
op1(e13,e11) != op1(e13,e12),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_91,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_10_5]) ).
fof(normalize_10_92,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_93,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(conjunct,[],[normalize_10_77]) ).
fof(normalize_10_94,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_95,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_10_96,plain,
e12 != e13,
inference(conjunct,[],[normalize_10_95]) ).
fof(normalize_10_97,plain,
e10 != e12,
inference(conjunct,[],[normalize_10_95]) ).
fof(normalize_10_98,plain,
e20 != e23,
inference(conjunct,[],[normalize_10_69]) ).
fof(normalize_10_99,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_100,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_10_77]) ).
fof(normalize_10_101,plain,
e11 != e13,
inference(conjunct,[],[normalize_10_95]) ).
fof(normalize_10_102,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_103,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_104,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(conjunct,[],[normalize_10_77]) ).
fof(normalize_10_105,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_10_34]) ).
fof(normalize_10_106,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_10_20]) ).
fof(normalize_10_107,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_10_20]) ).
fof(normalize_10_108,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_109,plain,
( ( 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(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_10_110,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_10_109]) ).
fof(normalize_10_111,plain,
e20 != e22,
inference(conjunct,[],[normalize_10_69]) ).
fof(normalize_10_112,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_113,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e13),op1(e12,e13)) != e13 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_10_114,plain,
( ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e10),op1(e12,e10)) = e10 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e11),op1(e12,e11)) = e11 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e12),op1(e12,e12)) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 )
& ( op1(op1(e12,e10),op1(e12,e10)) != e10
| op1(op1(e12,e11),op1(e12,e11)) != e11
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e12,e13),op1(e12,e13)) != e13
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_10_113]) ).
fof(normalize_10_115,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 ),
inference(conjunct,[],[normalize_10_114]) ).
fof(normalize_10_116,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_117,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 )
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_10_118,plain,
( definitionFOFtoCNF_0
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(simplify,[],[normalize_10_117,normalize_10_12,normalize_10_11]) ).
fof(normalize_10_119,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(simplify,[],[normalize_10_118,normalize_10_113]) ).
fof(normalize_10_120,plain,
( ( op1(op1(e13,e10),op1(e13,e10)) = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e12),op1(e13,e12)) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_10_119]) ).
fof(normalize_10_121,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_10_120]) ).
fof(normalize_10_122,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_10_120]) ).
fof(normalize_10_123,plain,
e10 != e13,
inference(conjunct,[],[normalize_10_95]) ).
fof(normalize_10_124,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 ),
inference(conjunct,[],[normalize_10_41]) ).
fof(normalize_10_125,plain,
h1(e12) = op2(op2(e20,op2(e20,e20)),e20),
inference(conjunct,[],[normalize_10_16]) ).
fof(normalize_10_126,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_10_16]) ).
fof(normalize_10_127,plain,
op2(e20,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_128,plain,
op2(e22,e20) != op2(e22,e23),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_129,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(conjunct,[],[normalize_10_48]) ).
fof(normalize_10_130,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_131,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e10),op1(e11,e10)) = e10 ),
inference(conjunct,[],[normalize_10_13]) ).
fof(normalize_10_132,plain,
op2(e21,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_133,plain,
h4(op1(e12,e11)) = op2(h4(e12),h4(e11)),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_134,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(conjunct,[],[normalize_10_77]) ).
fof(normalize_10_135,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_136,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_10_48]) ).
fof(normalize_10_137,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_10_43]) ).
fof(normalize_10_138,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(conjunct,[],[normalize_10_18]) ).
fof(normalize_10_139,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_140,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_141,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(conjunct,[],[normalize_10_77]) ).
fof(normalize_10_142,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(conjunct,[],[normalize_10_77]) ).
fof(normalize_10_143,plain,
e20 != e21,
inference(conjunct,[],[normalize_10_69]) ).
fof(normalize_10_144,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_145,plain,
op1(e11,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_146,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_147,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_10_77]) ).
fof(normalize_10_148,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(conjunct,[],[normalize_10_77]) ).
fof(normalize_10_149,plain,
op1(e11,e10) != op1(e11,e13),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_150,plain,
e10 != e11,
inference(conjunct,[],[normalize_10_95]) ).
cnf(refute_10_0,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_10_1]) ).
cnf(refute_10_1,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_10_2]) ).
cnf(refute_10_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_10_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_10_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_10_2,refute_10_3]) ).
cnf(refute_10_5,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_10_6,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_10_1,refute_10_5]) ).
cnf(refute_10_7,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_10_8,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_10_9,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_10_7,refute_10_8]) ).
cnf(refute_10_10,plain,
op1(e13,op1(e13,e13)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_6,refute_10_9]) ).
cnf(refute_10_11,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e11)
| e10 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_10_12,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e11)) )],[refute_10_10,refute_10_11]) ).
cnf(refute_10_13,plain,
e10 = op1(e13,e11),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_10_0,refute_10_12]) ).
cnf(refute_10_14,plain,
op1(e10,e10) != op1(e10,e11),
inference(canonicalize,[],[normalize_10_4]) ).
cnf(refute_10_15,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(canonicalize,[],[normalize_10_6]) ).
cnf(refute_10_16,plain,
op1(e10,e11) != op1(e10,e13),
inference(canonicalize,[],[normalize_10_7]) ).
cnf(refute_10_17,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(canonicalize,[],[normalize_10_8]) ).
cnf(refute_10_18,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = e10 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).
cnf(refute_10_19,plain,
op1(e13,op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_10_0,refute_10_18]) ).
cnf(refute_10_20,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(op1(e13,op1(e13,e13)),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_10_21,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_10_22,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) )],[refute_10_20,refute_10_21]) ).
cnf(refute_10_23,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_10_19,refute_10_22]) ).
cnf(refute_10_24,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) != op1(e10,e13)
| e12 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e13)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_10_25,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| e12 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(e10,e13)) )],[refute_10_23,refute_10_24]) ).
cnf(refute_10_26,plain,
e12 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),e13)) )],[refute_10_17,refute_10_25]) ).
cnf(refute_10_27,plain,
( e12 != op1(e10,e13)
| op1(e10,e13) = e12 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_10_28,plain,
op1(e10,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_10_26,refute_10_27]) ).
cnf(refute_10_29,plain,
( op1(e10,e11) != e12
| op1(e10,e13) != e12
| op1(e10,e11) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_10_30,plain,
( op1(e10,e11) != e12
| op1(e10,e11) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_10_28,refute_10_29]) ).
cnf(refute_10_31,plain,
op1(e10,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_10_30,refute_10_16]) ).
cnf(refute_10_32,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_10_15,refute_10_31]) ).
cnf(refute_10_33,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_10_9]) ).
cnf(refute_10_34,plain,
( e10 != op1(e13,e11)
| op1(e13,e11) = e10 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_10_35,plain,
op1(e13,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e11)) )],[refute_10_13,refute_10_34]) ).
cnf(refute_10_36,plain,
( op1(e10,e11) != e10
| op1(e13,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_10_37,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_10_35,refute_10_36]) ).
cnf(refute_10_38,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_10_37,refute_10_33]) ).
cnf(refute_10_39,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_10_32,refute_10_38]) ).
cnf(refute_10_40,plain,
( op1(e10,e10) != e13
| op1(e10,e11) != e13
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_10_41,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = op1(e10,e11)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_10_39,refute_10_40]) ).
cnf(refute_10_42,plain,
( op1(e10,e10) != e13
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_10_41,refute_10_14]) ).
cnf(refute_10_43,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(canonicalize,[],[normalize_10_14]) ).
cnf(refute_10_44,plain,
h4(op1(e12,e12)) != op2(h4(e12),h4(e12)),
inference(canonicalize,[],[normalize_10_23]) ).
cnf(refute_10_45,plain,
h3(e11) = op2(e22,e22),
inference(canonicalize,[],[normalize_10_24]) ).
cnf(refute_10_46,plain,
( h3(e11) != op2(e22,e22)
| op2(e22,e22) = h3(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_10_47,plain,
op2(e22,e22) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_10_45,refute_10_46]) ).
cnf(refute_10_48,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_10_26]) ).
cnf(refute_10_49,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_10_28]) ).
cnf(refute_10_50,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_10_29]) ).
cnf(refute_10_51,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_10_52,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_10_50,refute_10_51]) ).
cnf(refute_10_53,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_10_54,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_10_55,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_10_53,refute_10_54]) ).
cnf(refute_10_56,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_10_52,refute_10_55]) ).
cnf(refute_10_57,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_10_58,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_10_56,refute_10_57]) ).
cnf(refute_10_59,plain,
e22 = op2(e20,e23),
inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),e23)) )],[refute_10_49,refute_10_58]) ).
cnf(refute_10_60,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_10_61,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_10_59,refute_10_60]) ).
cnf(refute_10_62,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_10_63,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_10_4,refute_10_62]) ).
cnf(refute_10_64,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_10_65,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_10_56,refute_10_64]) ).
cnf(refute_10_66,plain,
op2(op2(e23,op2(e23,e23)),e23) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_10_61,refute_10_65]) ).
cnf(refute_10_67,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_10_68,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),e22) )],[refute_10_66,refute_10_67]) ).
cnf(refute_10_69,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_10_48,refute_10_68]) ).
cnf(refute_10_70,plain,
op2(e22,h4(e12)) = op2(e22,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e12)))]]) ).
cnf(refute_10_71,plain,
( h4(e12) != e22
| op2(e22,h4(e12)) != op2(e22,h4(e12))
| op2(e22,h4(e12)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_10_72,plain,
( h4(e12) != e22
| op2(e22,h4(e12)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,h4(e12))) )],[refute_10_70,refute_10_71]) ).
cnf(refute_10_73,plain,
op2(e22,h4(e12)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_69,refute_10_72]) ).
cnf(refute_10_74,plain,
op2(h4(e12),h4(e12)) = op2(h4(e12),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e12)))]]) ).
cnf(refute_10_75,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e12)) != op2(h4(e12),h4(e12))
| op2(h4(e12),h4(e12)) = op2(e22,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) ),[1,0],$fot(e22)]]) ).
cnf(refute_10_76,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e12)) = op2(e22,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) )],[refute_10_74,refute_10_75]) ).
cnf(refute_10_77,plain,
op2(h4(e12),h4(e12)) = op2(e22,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_69,refute_10_76]) ).
cnf(refute_10_78,plain,
( op2(e22,h4(e12)) != op2(e22,e22)
| op2(h4(e12),h4(e12)) != op2(e22,h4(e12))
| op2(h4(e12),h4(e12)) = op2(e22,e22) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e22,h4(e12)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_10_79,plain,
( op2(e22,h4(e12)) != op2(e22,e22)
| op2(h4(e12),h4(e12)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e22,h4(e12))) )],[refute_10_77,refute_10_78]) ).
cnf(refute_10_80,plain,
op2(h4(e12),h4(e12)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,e22)) )],[refute_10_73,refute_10_79]) ).
cnf(refute_10_81,plain,
( op2(e22,e22) != h3(e11)
| op2(h4(e12),h4(e12)) != op2(e22,e22)
| op2(h4(e12),h4(e12)) = h3(e11) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_10_82,plain,
( op2(e22,e22) != h3(e11)
| op2(h4(e12),h4(e12)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e22,e22)) )],[refute_10_80,refute_10_81]) ).
cnf(refute_10_83,plain,
op2(h4(e12),h4(e12)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_47,refute_10_82]) ).
cnf(refute_10_84,plain,
( h4(op1(e12,e12)) != h3(e11)
| op2(h4(e12),h4(e12)) != h3(e11)
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e12)),op2(h4(e12),h4(e12))) ),[1],$fot(h3(e11))]]) ).
cnf(refute_10_85,plain,
( h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),h3(e11)) )],[refute_10_83,refute_10_84]) ).
cnf(refute_10_86,plain,
h4(op1(e12,e12)) != h3(e11),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),op2(h4(e12),h4(e12))) )],[refute_10_85,refute_10_44]) ).
cnf(refute_10_87,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_10_31]) ).
cnf(refute_10_88,plain,
op1(e12,op1(e10,e13)) = op1(e12,op1(e10,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e10,e13)))]]) ).
cnf(refute_10_89,plain,
( op1(e10,e13) != e12
| op1(e12,op1(e10,e13)) != op1(e12,op1(e10,e13))
| op1(e12,op1(e10,e13)) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_10_90,plain,
( op1(e10,e13) != e12
| op1(e12,op1(e10,e13)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) )],[refute_10_88,refute_10_89]) ).
cnf(refute_10_91,plain,
op1(e12,op1(e10,e13)) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_10_28,refute_10_90]) ).
cnf(refute_10_92,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(op1(e10,e13),op1(e10,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e10,e13),op1(e10,e13)))]]) ).
cnf(refute_10_93,plain,
( op1(e10,e13) != e12
| op1(op1(e10,e13),op1(e10,e13)) != op1(op1(e10,e13),op1(e10,e13))
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(op1(e10,e13),op1(e10,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_10_94,plain,
( op1(e10,e13) != e12
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(op1(e10,e13),op1(e10,e13))) )],[refute_10_92,refute_10_93]) ).
cnf(refute_10_95,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_10_28,refute_10_94]) ).
cnf(refute_10_96,plain,
( op1(e12,op1(e10,e13)) != op1(e12,e12)
| op1(op1(e10,e13),op1(e10,e13)) != op1(e12,op1(e10,e13))
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op1(op1(e10,e13),op1(e10,e13)))),bind(Y,$fot(op1(e12,op1(e10,e13)))),bind(Z,$fot(op1(e12,e12)))]]) ).
cnf(refute_10_97,plain,
( op1(e12,op1(e10,e13)) != op1(e12,e12)
| op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(e12,op1(e10,e13))) )],[refute_10_95,refute_10_96]) ).
cnf(refute_10_98,plain,
op1(op1(e10,e13),op1(e10,e13)) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,e12)) )],[refute_10_91,refute_10_97]) ).
cnf(refute_10_99,plain,
( op1(op1(e10,e13),op1(e10,e13)) != e13
| op1(op1(e10,e13),op1(e10,e13)) != op1(e12,e12)
| op1(e12,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),e13) ),[0],$fot(op1(e12,e12))]]) ).
cnf(refute_10_100,plain,
( op1(op1(e10,e13),op1(e10,e13)) != e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),op1(e12,e12)) )],[refute_10_98,refute_10_99]) ).
cnf(refute_10_101,plain,
( op1(e12,e12) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),op1(e10,e13)),e13) )],[refute_10_87,refute_10_100]) ).
cnf(refute_10_102,plain,
( h4(e13) != h3(e11)
| op1(e12,e12) != e13
| h4(op1(e12,e12)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e12)),h3(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_10_103,plain,
( h4(e13) != h3(e11)
| h4(op1(e12,e12)) = h3(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_10_101,refute_10_102]) ).
cnf(refute_10_104,plain,
( h4(e13) != h3(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h3(e11)) )],[refute_10_103,refute_10_86]) ).
cnf(refute_10_105,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_10_32]) ).
cnf(refute_10_106,plain,
( e23 != h3(e11)
| h4(e13) != e23
| h4(e13) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[1],$fot(h3(e11))]]) ).
cnf(refute_10_107,plain,
( e23 != h3(e11)
| h4(e13) = h3(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_10_105,refute_10_106]) ).
cnf(refute_10_108,plain,
( e23 != h3(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e13),h3(e11)) )],[refute_10_107,refute_10_104]) ).
cnf(refute_10_109,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_10_35]) ).
cnf(refute_10_110,plain,
op2(e22,op2(e20,e23)) = op2(e22,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e20,e23)))]]) ).
cnf(refute_10_111,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_10_112,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_10_110,refute_10_111]) ).
cnf(refute_10_113,plain,
op2(e22,op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_10_61,refute_10_112]) ).
cnf(refute_10_114,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(op2(e20,e23),op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),op2(e20,e23)))]]) ).
cnf(refute_10_115,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) != op2(op2(e20,e23),op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) ),[1,0],$fot(e22)]]) ).
cnf(refute_10_116,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) )],[refute_10_114,refute_10_115]) ).
cnf(refute_10_117,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_10_61,refute_10_116]) ).
cnf(refute_10_118,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,op2(e20,e23)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_10_119,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_10_117,refute_10_118]) ).
cnf(refute_10_120,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,e22)) )],[refute_10_113,refute_10_119]) ).
cnf(refute_10_121,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_10_122,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,e22)) )],[refute_10_120,refute_10_121]) ).
cnf(refute_10_123,plain,
op2(op2(e20,e23),op2(e20,e23)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_47,refute_10_122]) ).
cnf(refute_10_124,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| op2(op2(e20,e23),op2(e20,e23)) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_10_125,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),h3(e11)) )],[refute_10_123,refute_10_124]) ).
cnf(refute_10_126,plain,
( h3(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) )],[refute_10_109,refute_10_125]) ).
cnf(refute_10_127,plain,
( e23 != e23
| h3(e11) != e23
| e23 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h3(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_10_128,plain,
( e23 != e23
| e23 = h3(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_10_126,refute_10_127]) ).
cnf(refute_10_129,plain,
( e23 != e23
| definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,h3(e11)) )],[refute_10_128,refute_10_108]) ).
cnf(refute_10_130,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_10_131,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_10_130,refute_10_129]) ).
cnf(refute_10_132,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(canonicalize,[],[normalize_10_39]) ).
cnf(refute_10_133,plain,
( ~ definitionFOFtoCNF_3
| op2(op2(e21,e23),op2(e21,e23)) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_10_131,refute_10_132]) ).
cnf(refute_10_134,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference(canonicalize,[],[normalize_10_42]) ).
cnf(refute_10_135,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_10_44]) ).
cnf(refute_10_136,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_10_45]) ).
cnf(refute_10_137,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_10_138,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_10_136,refute_10_137]) ).
cnf(refute_10_139,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_10_140,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_138,refute_10_139]) ).
cnf(refute_10_141,plain,
h1(e11) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_10_140,refute_10_135]) ).
cnf(refute_10_142,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_10_46]) ).
cnf(refute_10_143,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_10_47]) ).
cnf(refute_10_144,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_10_145,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_10_143,refute_10_144]) ).
cnf(refute_10_146,plain,
( op2(e20,e21) != h2(e11)
| op2(e21,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_10_147,plain,
( op2(e20,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_10_145,refute_10_146]) ).
cnf(refute_10_148,plain,
op2(e20,e21) != h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_10_147,refute_10_142]) ).
cnf(refute_10_149,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(canonicalize,[],[normalize_10_49]) ).
cnf(refute_10_150,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_10_50]) ).
cnf(refute_10_151,plain,
( op2(e20,e21) != e22
| op2(e20,e23) != e22
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_10_152,plain,
( op2(e20,e21) != e22
| op2(e20,e21) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_10_61,refute_10_151]) ).
cnf(refute_10_153,plain,
op2(e20,e21) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_10_152,refute_10_150]) ).
cnf(refute_10_154,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_10_149,refute_10_153]) ).
cnf(refute_10_155,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_10_51]) ).
cnf(refute_10_156,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_10_52]) ).
cnf(refute_10_157,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_10_158,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_10_156,refute_10_157]) ).
cnf(refute_10_159,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_10_160,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_10_161,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_10_159,refute_10_160]) ).
cnf(refute_10_162,plain,
op2(e23,op2(e23,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_158,refute_10_161]) ).
cnf(refute_10_163,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e21)
| e20 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_10_164,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e21)) )],[refute_10_162,refute_10_163]) ).
cnf(refute_10_165,plain,
e20 = op2(e23,e21),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_10_50,refute_10_164]) ).
cnf(refute_10_166,plain,
( e20 != op2(e23,e21)
| op2(e23,e21) = e20 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_10_167,plain,
op2(e23,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_10_165,refute_10_166]) ).
cnf(refute_10_168,plain,
( op2(e20,e21) != e20
| op2(e23,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_10_169,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_10_167,refute_10_168]) ).
cnf(refute_10_170,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_10_169,refute_10_155]) ).
cnf(refute_10_171,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_10_154,refute_10_170]) ).
cnf(refute_10_172,plain,
( e23 != h2(e11)
| op2(e20,e21) != e23
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(h2(e11))]]) ).
cnf(refute_10_173,plain,
( e23 != h2(e11)
| op2(e20,e21) = e21
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_10_171,refute_10_172]) ).
cnf(refute_10_174,plain,
( e23 != h2(e11)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_10_173,refute_10_148]) ).
cnf(refute_10_175,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_10_57]) ).
cnf(refute_10_176,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_10_177,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_10_178,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_10_176,refute_10_177]) ).
cnf(refute_10_179,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_158,refute_10_178]) ).
cnf(refute_10_180,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_10_181,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_10_182,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_10_180,refute_10_181]) ).
cnf(refute_10_183,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_158,refute_10_182]) ).
cnf(refute_10_184,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_10_185,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_10_183,refute_10_184]) ).
cnf(refute_10_186,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_10_179,refute_10_185]) ).
cnf(refute_10_187,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_10_188,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_10_186,refute_10_187]) ).
cnf(refute_10_189,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_10_145,refute_10_188]) ).
cnf(refute_10_190,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_10_191,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_10_189,refute_10_190]) ).
cnf(refute_10_192,plain,
( h2(e11) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) )],[refute_10_175,refute_10_191]) ).
cnf(refute_10_193,plain,
( e23 != e23
| h2(e11) != e23
| e23 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h2(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_10_194,plain,
( e23 != e23
| e23 = h2(e11)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_10_192,refute_10_193]) ).
cnf(refute_10_195,plain,
( e23 != e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,h2(e11)) )],[refute_10_194,refute_10_174]) ).
cnf(refute_10_196,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_10_130,refute_10_195]) ).
cnf(refute_10_197,plain,
( h1(e11) != e21
| op2(e20,e21) != e21
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_10_198,plain,
( h1(e11) != e21
| h1(e11) = op2(e20,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_10_196,refute_10_197]) ).
cnf(refute_10_199,plain,
( h1(e11) != e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_10_198,refute_10_141]) ).
cnf(refute_10_200,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_10_58]) ).
cnf(refute_10_201,plain,
op2(e20,op2(e23,e21)) = op2(e20,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e21)))]]) ).
cnf(refute_10_202,plain,
( op2(e20,op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(e23,e21) != e20
| op2(e20,op2(e23,e21)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) ),[1,1],$fot(e20)]]) ).
cnf(refute_10_203,plain,
( op2(e23,e21) != e20
| op2(e20,op2(e23,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_10_201,refute_10_202]) ).
cnf(refute_10_204,plain,
op2(e20,op2(e23,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_10_167,refute_10_203]) ).
cnf(refute_10_205,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(op2(e23,e21),op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),op2(e23,e21)))]]) ).
cnf(refute_10_206,plain,
( op2(e23,e21) != e20
| op2(op2(e23,e21),op2(e23,e21)) != op2(op2(e23,e21),op2(e23,e21))
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(op2(e23,e21),op2(e23,e21))) ),[1,0],$fot(e20)]]) ).
cnf(refute_10_207,plain,
( op2(e23,e21) != e20
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(op2(e23,e21),op2(e23,e21))) )],[refute_10_205,refute_10_206]) ).
cnf(refute_10_208,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_10_167,refute_10_207]) ).
cnf(refute_10_209,plain,
( op2(e20,op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op2(op2(e23,e21),op2(e23,e21)))),bind(Y,$fot(op2(e20,op2(e23,e21)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_10_210,plain,
( op2(e20,op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_10_208,refute_10_209]) ).
cnf(refute_10_211,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,e20)) )],[refute_10_204,refute_10_210]) ).
cnf(refute_10_212,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e23,e21),op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) = h1(e11) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op2(op2(e23,e21),op2(e23,e21)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_10_213,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e23,e21),op2(e23,e21)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(e20,e20)) )],[refute_10_211,refute_10_212]) ).
cnf(refute_10_214,plain,
op2(op2(e23,e21),op2(e23,e21)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_138,refute_10_213]) ).
cnf(refute_10_215,plain,
( op2(op2(e23,e21),op2(e23,e21)) != e21
| op2(op2(e23,e21),op2(e23,e21)) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_10_216,plain,
( op2(op2(e23,e21),op2(e23,e21)) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),h1(e11)) )],[refute_10_214,refute_10_215]) ).
cnf(refute_10_217,plain,
( h1(e11) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),e21) )],[refute_10_200,refute_10_216]) ).
cnf(refute_10_218,plain,
( e21 != e21
| h1(e11) != e21
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_10_219,plain,
( e21 != e21
| h1(e11) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_10_217,refute_10_218]) ).
cnf(refute_10_220,plain,
( e21 != e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_10_219,refute_10_199]) ).
cnf(refute_10_221,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_10_222,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_10_221,refute_10_220]) ).
cnf(refute_10_223,plain,
( op2(op2(e22,e23),op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_10_222,refute_10_134]) ).
cnf(refute_10_224,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_10_59]) ).
cnf(refute_10_225,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_10_60]) ).
cnf(refute_10_226,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_10_61]) ).
cnf(refute_10_227,plain,
( op2(e22,e23) != e21
| op2(e23,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_10_228,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_158,refute_10_227]) ).
cnf(refute_10_229,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_10_228,refute_10_226]) ).
cnf(refute_10_230,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_10_225,refute_10_229]) ).
cnf(refute_10_231,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_10_62]) ).
cnf(refute_10_232,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_10_233,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_10_61,refute_10_232]) ).
cnf(refute_10_234,plain,
e22 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_10_233,refute_10_231]) ).
cnf(refute_10_235,plain,
( op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_10_236,plain,
op2(e22,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_10_235,refute_10_234]) ).
cnf(refute_10_237,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_10_230,refute_10_236]) ).
cnf(refute_10_238,plain,
( op2(e21,e23) != e23
| op2(e22,e23) != e23
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_10_239,plain,
( op2(e21,e23) != e23
| op2(e21,e23) = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_10_237,refute_10_238]) ).
cnf(refute_10_240,plain,
( op2(e21,e23) != e23
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_10_239,refute_10_224]) ).
cnf(refute_10_241,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(canonicalize,[],[normalize_10_63]) ).
cnf(refute_10_242,plain,
op2(e21,h4(e13)) = op2(e21,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_10_243,plain,
( h4(e13) != e23
| op2(e21,h4(e13)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_10_244,plain,
( h4(e13) != e23
| op2(e21,h4(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_10_242,refute_10_243]) ).
cnf(refute_10_245,plain,
op2(e21,h4(e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_10_105,refute_10_244]) ).
cnf(refute_10_246,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_10_64]) ).
cnf(refute_10_247,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_10_248,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_158,refute_10_247]) ).
cnf(refute_10_249,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_10_246,refute_10_248]) ).
cnf(refute_10_250,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_10_251,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_10_252,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) )],[refute_10_250,refute_10_251]) ).
cnf(refute_10_253,plain,
op2(h4(e11),h4(e13)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_10_249,refute_10_252]) ).
cnf(refute_10_254,plain,
( op2(e21,h4(e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) != op2(e21,h4(e13))
| op2(h4(e11),h4(e13)) = op2(e21,e23) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(e21,h4(e13)))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_10_255,plain,
( op2(e21,h4(e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,h4(e13))) )],[refute_10_253,refute_10_254]) ).
cnf(refute_10_256,plain,
op2(h4(e11),h4(e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e23)) )],[refute_10_245,refute_10_255]) ).
cnf(refute_10_257,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) != op2(e21,e23)
| h4(op1(e11,e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0],$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_10_258,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,e23)) )],[refute_10_256,refute_10_257]) ).
cnf(refute_10_259,plain,
h4(op1(e11,e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_10_241,refute_10_258]) ).
cnf(refute_10_260,plain,
( op2(e21,e23) != e20
| op2(e22,e23) != e20
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_10_261,plain,
( op2(e21,e23) != e20
| op2(e21,e23) = op2(e22,e23)
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_10_237,refute_10_260]) ).
cnf(refute_10_262,plain,
( op2(e21,e23) != e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_10_261,refute_10_224]) ).
cnf(refute_10_263,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_10_65]) ).
cnf(refute_10_264,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_10_66]) ).
cnf(refute_10_265,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_10_266,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_6,refute_10_265]) ).
cnf(refute_10_267,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_10_266,refute_10_264]) ).
cnf(refute_10_268,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_10_263,refute_10_267]) ).
cnf(refute_10_269,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_10_67]) ).
cnf(refute_10_270,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_10_271,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_10_28,refute_10_270]) ).
cnf(refute_10_272,plain,
e12 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_10_271,refute_10_269]) ).
cnf(refute_10_273,plain,
( op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_10_274,plain,
op1(e11,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_10_273,refute_10_272]) ).
cnf(refute_10_275,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_10_268,refute_10_274]) ).
cnf(refute_10_276,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| op1(e11,e13) != e10
| h4(e10) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0,0],$fot(e10)]]) ).
cnf(refute_10_277,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| h4(e10) = op2(e21,e23)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_10_275,refute_10_276]) ).
cnf(refute_10_278,plain,
( h4(e10) = op2(e21,e23)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_10_259,refute_10_277]) ).
cnf(refute_10_279,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_10_68]) ).
cnf(refute_10_280,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_10_281,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_10_52,refute_10_280]) ).
cnf(refute_10_282,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_10_279,refute_10_281]) ).
cnf(refute_10_283,plain,
( h4(e10) != e20
| h4(e10) != op2(e21,e23)
| e20 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e21,e23)) ),[0],$fot(e20)]]) ).
cnf(refute_10_284,plain,
( h4(e10) != op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_282,refute_10_283]) ).
cnf(refute_10_285,plain,
( e20 = op2(e21,e23)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_10_278,refute_10_284]) ).
cnf(refute_10_286,plain,
( e20 != op2(e21,e23)
| op2(e21,e23) = e20 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_10_287,plain,
( op1(e11,e13) = e13
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e23)) )],[refute_10_285,refute_10_286]) ).
cnf(refute_10_288,plain,
( e20 != e20
| op2(e21,e23) != e20
| op2(e21,e23) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[1],$fot(e20)]]) ).
cnf(refute_10_289,plain,
( e20 != e20
| op1(e11,e13) = e13
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_10_287,refute_10_288]) ).
cnf(refute_10_290,plain,
( e20 != e20
| op1(e11,e13) = e13
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_10_289,refute_10_262]) ).
cnf(refute_10_291,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_10_292,plain,
( op1(e11,e13) = e13
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_10_291,refute_10_290]) ).
cnf(refute_10_293,plain,
( op2(e22,e23) != e23
| op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(op2(e22,e23),e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_10_294,plain,
( op2(op2(e22,e23),op2(e22,e23)) != e23
| op1(e11,e13) = e13
| op2(op2(e22,e23),e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_10_292,refute_10_293]) ).
cnf(refute_10_295,plain,
( op1(e11,e13) = e13
| op2(op2(e22,e23),e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) )],[refute_10_223,refute_10_294]) ).
cnf(refute_10_296,plain,
( op2(e22,e23) != e23
| op2(op2(e22,e23),e23) != e23
| op2(e23,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_10_297,plain,
( op2(op2(e22,e23),e23) != e23
| op1(e11,e13) = e13
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_10_292,refute_10_296]) ).
cnf(refute_10_298,plain,
( op1(e11,e13) = e13
| op2(e23,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),e23) )],[refute_10_295,refute_10_297]) ).
cnf(refute_10_299,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e21)]]) ).
cnf(refute_10_300,plain,
( op2(e23,e23) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_158,refute_10_299]) ).
cnf(refute_10_301,plain,
( e21 = e23
| op1(e11,e13) = e13
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_10_298,refute_10_300]) ).
cnf(refute_10_302,plain,
e21 != e23,
inference(canonicalize,[],[normalize_10_70]) ).
cnf(refute_10_303,plain,
( op1(e11,e13) = e13
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_10_301,refute_10_302]) ).
cnf(refute_10_304,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| op1(e11,e13) != e13
| h4(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0,0],$fot(e13)]]) ).
cnf(refute_10_305,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| h4(e13) = op2(e21,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_10_303,refute_10_304]) ).
cnf(refute_10_306,plain,
( h4(e13) = op2(e21,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_10_259,refute_10_305]) ).
cnf(refute_10_307,plain,
( h4(e13) != e23
| h4(e13) != op2(e21,e23)
| e23 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e21,e23)) ),[0],$fot(e23)]]) ).
cnf(refute_10_308,plain,
( h4(e13) != op2(e21,e23)
| e23 = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_10_105,refute_10_307]) ).
cnf(refute_10_309,plain,
( e23 = op2(e21,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,e23)) )],[refute_10_306,refute_10_308]) ).
cnf(refute_10_310,plain,
( e23 != op2(e21,e23)
| op2(e21,e23) = e23 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_10_311,plain,
( op2(e21,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e23)) )],[refute_10_309,refute_10_310]) ).
cnf(refute_10_312,plain,
( e23 != e23
| op2(e21,e23) != e23
| op2(e21,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_10_313,plain,
( e23 != e23
| op2(e21,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_10_311,refute_10_312]) ).
cnf(refute_10_314,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_10_313,refute_10_240]) ).
cnf(refute_10_315,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_10_130,refute_10_314]) ).
cnf(refute_10_316,plain,
( op2(e22,e23) != e20
| op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e20,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) ),[0,0],$fot(e20)]]) ).
cnf(refute_10_317,plain,
( op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e20,op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_10_315,refute_10_316]) ).
cnf(refute_10_318,plain,
( op2(e20,op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) )],[refute_10_223,refute_10_317]) ).
cnf(refute_10_319,plain,
( op2(e20,op2(e22,e23)) != e23
| op2(e22,e23) != e20
| op2(e20,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e23)),e23) ),[0,1],$fot(e20)]]) ).
cnf(refute_10_320,plain,
( op2(e20,op2(e22,e23)) != e23
| op2(e20,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_10_315,refute_10_319]) ).
cnf(refute_10_321,plain,
( op2(e20,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e23)),e23) )],[refute_10_318,refute_10_320]) ).
cnf(refute_10_322,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_10_323,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_138,refute_10_322]) ).
cnf(refute_10_324,plain,
( h1(e11) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_10_321,refute_10_323]) ).
cnf(refute_10_325,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_10_71]) ).
cnf(refute_10_326,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_10_327,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_10_328,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_10_326,refute_10_327]) ).
cnf(refute_10_329,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_282,refute_10_328]) ).
cnf(refute_10_330,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_10_331,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_10_332,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_10_330,refute_10_331]) ).
cnf(refute_10_333,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_282,refute_10_332]) ).
cnf(refute_10_334,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_10_335,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_10_333,refute_10_334]) ).
cnf(refute_10_336,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_10_329,refute_10_335]) ).
cnf(refute_10_337,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_10_338,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_10_336,refute_10_337]) ).
cnf(refute_10_339,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_138,refute_10_338]) ).
cnf(refute_10_340,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_10_341,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_10_339,refute_10_340]) ).
cnf(refute_10_342,plain,
h4(op1(e10,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_10_325,refute_10_341]) ).
cnf(refute_10_343,plain,
op1(e12,e10) != op1(e12,e13),
inference(canonicalize,[],[normalize_10_72]) ).
cnf(refute_10_344,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_10_73]) ).
cnf(refute_10_345,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_10_74]) ).
cnf(refute_10_346,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_10_75]) ).
cnf(refute_10_347,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_10_348,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_6,refute_10_347]) ).
cnf(refute_10_349,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_10_348,refute_10_346]) ).
cnf(refute_10_350,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_10_345,refute_10_349]) ).
cnf(refute_10_351,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_10_76]) ).
cnf(refute_10_352,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_10_353,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_10_28,refute_10_352]) ).
cnf(refute_10_354,plain,
e12 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_10_353,refute_10_351]) ).
cnf(refute_10_355,plain,
( op1(e12,e13) != e12
| e12 = op1(e12,e13) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_10_356,plain,
op1(e12,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_10_355,refute_10_354]) ).
cnf(refute_10_357,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_10_350,refute_10_356]) ).
cnf(refute_10_358,plain,
( op1(e11,e13) != e13
| op1(e12,e13) != e13
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_10_359,plain,
( op1(e11,e13) != e13
| op1(e11,e13) = op1(e12,e13)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_10_357,refute_10_358]) ).
cnf(refute_10_360,plain,
( op1(e11,e13) != e13
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_10_359,refute_10_344]) ).
cnf(refute_10_361,plain,
( e13 != e13
| op1(e11,e13) != e13
| op1(e11,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_10_362,plain,
( e13 != e13
| op1(e11,e13) = e13
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_10_303,refute_10_361]) ).
cnf(refute_10_363,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_10_362,refute_10_360]) ).
cnf(refute_10_364,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_10_365,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_10_364,refute_10_363]) ).
cnf(refute_10_366,plain,
( op1(e12,e10) != e10
| op1(e12,e13) != e10
| op1(e12,e10) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_10_367,plain,
( op1(e12,e10) != e10
| op1(e12,e10) = op1(e12,e13)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_10_365,refute_10_366]) ).
cnf(refute_10_368,plain,
( op1(e12,e10) != e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e13)) )],[refute_10_367,refute_10_343]) ).
cnf(refute_10_369,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(canonicalize,[],[normalize_10_78]) ).
cnf(refute_10_370,plain,
op1(e13,e10) != op1(e13,e11),
inference(canonicalize,[],[normalize_10_79]) ).
cnf(refute_10_371,plain,
( op1(e13,e10) != e10
| op1(e13,e11) != e10
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_10_372,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_10_35,refute_10_371]) ).
cnf(refute_10_373,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_10_372,refute_10_370]) ).
cnf(refute_10_374,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_10_369,refute_10_373]) ).
cnf(refute_10_375,plain,
( e10 != e10
| op1(e12,e10) != e10
| op1(e12,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_10_376,plain,
( e10 != e10
| op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_10_374,refute_10_375]) ).
cnf(refute_10_377,plain,
( e10 != e10
| op1(e10,e10) = e10
| op1(e11,e10) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_10_376,refute_10_368]) ).
cnf(refute_10_378,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_10_379,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_10_378,refute_10_377]) ).
cnf(refute_10_380,plain,
op2(e22,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_10_80]) ).
cnf(refute_10_381,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_10_81]) ).
cnf(refute_10_382,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_10_383,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_138,refute_10_382]) ).
cnf(refute_10_384,plain,
h1(e11) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_10_383,refute_10_381]) ).
cnf(refute_10_385,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_10_82]) ).
cnf(refute_10_386,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_10_83]) ).
cnf(refute_10_387,plain,
( op2(e23,e20) != e21
| op2(e23,e23) != e21
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_10_388,plain,
( op2(e23,e20) != e21
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_158,refute_10_387]) ).
cnf(refute_10_389,plain,
op2(e23,e20) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_10_388,refute_10_386]) ).
cnf(refute_10_390,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_10_385,refute_10_389]) ).
cnf(refute_10_391,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_10_84]) ).
cnf(refute_10_392,plain,
( op2(e23,e20) != e20
| op2(e23,e21) != e20
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_10_393,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_10_167,refute_10_392]) ).
cnf(refute_10_394,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_10_393,refute_10_391]) ).
cnf(refute_10_395,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_10_390,refute_10_394]) ).
cnf(refute_10_396,plain,
( h1(e11) != e23
| op2(e23,e20) != e23
| h1(e11) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_10_397,plain,
( h1(e11) != e23
| h1(e11) = op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_10_395,refute_10_396]) ).
cnf(refute_10_398,plain,
( h1(e11) != e23
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,e20)) )],[refute_10_397,refute_10_384]) ).
cnf(refute_10_399,plain,
( e23 != e23
| h1(e11) != e23
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_10_400,plain,
( e23 != e23
| h1(e11) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_10_324,refute_10_399]) ).
cnf(refute_10_401,plain,
( e23 != e23
| op2(e23,e20) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_10_400,refute_10_398]) ).
cnf(refute_10_402,plain,
( op2(e23,e20) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_10_130,refute_10_401]) ).
cnf(refute_10_403,plain,
( op2(e22,e20) != e22
| op2(e23,e20) != e22
| op2(e22,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_10_404,plain,
( op2(e22,e20) != e22
| op2(e22,e20) = op2(e23,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_10_402,refute_10_403]) ).
cnf(refute_10_405,plain,
( op2(e22,e20) != e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e23,e20)) )],[refute_10_404,refute_10_380]) ).
cnf(refute_10_406,plain,
h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
inference(canonicalize,[],[normalize_10_85]) ).
cnf(refute_10_407,plain,
op2(e22,h4(e10)) = op2(e22,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e10)))]]) ).
cnf(refute_10_408,plain,
( h4(e10) != e20
| op2(e22,h4(e10)) != op2(e22,h4(e10))
| op2(e22,h4(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_10_409,plain,
( h4(e10) != e20
| op2(e22,h4(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,h4(e10))) )],[refute_10_407,refute_10_408]) ).
cnf(refute_10_410,plain,
op2(e22,h4(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_282,refute_10_409]) ).
cnf(refute_10_411,plain,
op2(h4(e12),h4(e10)) = op2(h4(e12),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_10_412,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) = op2(e22,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) ),[1,0],$fot(e22)]]) ).
cnf(refute_10_413,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e10)) = op2(e22,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) )],[refute_10_411,refute_10_412]) ).
cnf(refute_10_414,plain,
op2(h4(e12),h4(e10)) = op2(e22,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_69,refute_10_413]) ).
cnf(refute_10_415,plain,
( op2(e22,h4(e10)) != op2(e22,e20)
| op2(h4(e12),h4(e10)) != op2(e22,h4(e10))
| op2(h4(e12),h4(e10)) = op2(e22,e20) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op2(h4(e12),h4(e10)))),bind(Y,$fot(op2(e22,h4(e10)))),bind(Z,$fot(op2(e22,e20)))]]) ).
cnf(refute_10_416,plain,
( op2(e22,h4(e10)) != op2(e22,e20)
| op2(h4(e12),h4(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e22,h4(e10))) )],[refute_10_414,refute_10_415]) ).
cnf(refute_10_417,plain,
op2(h4(e12),h4(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,e20)) )],[refute_10_410,refute_10_416]) ).
cnf(refute_10_418,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) != op2(e22,e20)
| h4(op1(e12,e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e22,e20)) ),[0],$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_10_419,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e22,e20)) )],[refute_10_417,refute_10_418]) ).
cnf(refute_10_420,plain,
h4(op1(e12,e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) )],[refute_10_406,refute_10_419]) ).
cnf(refute_10_421,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_10_86]) ).
cnf(refute_10_422,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_10_87]) ).
cnf(refute_10_423,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_10_424,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_10_101,refute_10_423]) ).
cnf(refute_10_425,plain,
( e13 != op1(e13,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_10_424,refute_10_422]) ).
cnf(refute_10_426,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_10_88]) ).
cnf(refute_10_427,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_10_89]) ).
cnf(refute_10_428,plain,
( op1(e13,e12) != e11
| op1(e13,e13) != e11
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_10_429,plain,
( op1(e13,e12) != e11
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_6,refute_10_428]) ).
cnf(refute_10_430,plain,
op1(e13,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_10_429,refute_10_427]) ).
cnf(refute_10_431,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_10_426,refute_10_430]) ).
cnf(refute_10_432,plain,
op1(e13,e11) != op1(e13,e12),
inference(canonicalize,[],[normalize_10_90]) ).
cnf(refute_10_433,plain,
( e10 != op1(e13,e12)
| op1(e13,e11) != e10
| op1(e13,e11) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e10) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_10_434,plain,
( e10 != op1(e13,e12)
| op1(e13,e11) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_10_35,refute_10_433]) ).
cnf(refute_10_435,plain,
e10 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e12)) )],[refute_10_434,refute_10_432]) ).
cnf(refute_10_436,plain,
( op1(e13,e12) != e10
| e10 = op1(e13,e12) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e10))]]) ).
cnf(refute_10_437,plain,
op1(e13,e12) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_10_436,refute_10_435]) ).
cnf(refute_10_438,plain,
( op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_10_431,refute_10_437]) ).
cnf(refute_10_439,plain,
( e13 != e13
| op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_10_440,plain,
( e13 != e13
| e13 = op1(e13,e12)
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_10_438,refute_10_439]) ).
cnf(refute_10_441,plain,
( e13 != e13
| op1(e13,e12) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_10_440,refute_10_425]) ).
cnf(refute_10_442,plain,
( op1(e13,e12) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_10_364,refute_10_441]) ).
cnf(refute_10_443,plain,
( op1(e13,e10) != e12
| op1(e13,e12) != e12
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_10_444,plain,
( op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_10_442,refute_10_443]) ).
cnf(refute_10_445,plain,
( op1(e13,e10) != e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_10_444,refute_10_421]) ).
cnf(refute_10_446,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_10_91]) ).
cnf(refute_10_447,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_10_92]) ).
cnf(refute_10_448,plain,
( op1(e13,e10) != e11
| op1(e13,e13) != e11
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_10_449,plain,
( op1(e13,e10) != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_6,refute_10_448]) ).
cnf(refute_10_450,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_10_449,refute_10_447]) ).
cnf(refute_10_451,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_10_446,refute_10_450]) ).
cnf(refute_10_452,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_10_451,refute_10_373]) ).
cnf(refute_10_453,plain,
( e12 != e12
| op1(e13,e10) != e12
| op1(e13,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(e12)]]) ).
cnf(refute_10_454,plain,
( e12 != e12
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_10_452,refute_10_453]) ).
cnf(refute_10_455,plain,
( e12 != e12
| op1(e13,e10) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_10_454,refute_10_445]) ).
cnf(refute_10_456,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_10_457,plain,
( op1(e13,e10) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_10_456,refute_10_455]) ).
cnf(refute_10_458,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(canonicalize,[],[normalize_10_93]) ).
cnf(refute_10_459,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_10_94]) ).
cnf(refute_10_460,plain,
( op1(e10,e10) != e12
| op1(e10,e13) != e12
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_10_461,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_10_28,refute_10_460]) ).
cnf(refute_10_462,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_10_461,refute_10_459]) ).
cnf(refute_10_463,plain,
( op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_10_458,refute_10_462]) ).
cnf(refute_10_464,plain,
( op1(e13,e10) != e12
| op1(e13,e10) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[0],$fot(e12)]]) ).
cnf(refute_10_465,plain,
( op1(e13,e10) != e13
| e12 = e13
| op1(e11,e10) = e12
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_10_463,refute_10_464]) ).
cnf(refute_10_466,plain,
( e12 = e13
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_10_457,refute_10_465]) ).
cnf(refute_10_467,plain,
e12 != e13,
inference(canonicalize,[],[normalize_10_96]) ).
cnf(refute_10_468,plain,
( op1(e11,e10) = e12
| op1(e12,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_10_466,refute_10_467]) ).
cnf(refute_10_469,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| op1(e12,e10) != e12
| h4(e12) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),op2(e22,e20)) ),[0,0],$fot(e12)]]) ).
cnf(refute_10_470,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| h4(e12) = op2(e22,e20)
| op1(e11,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_10_468,refute_10_469]) ).
cnf(refute_10_471,plain,
( h4(e12) = op2(e22,e20)
| op1(e11,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e22,e20)) )],[refute_10_420,refute_10_470]) ).
cnf(refute_10_472,plain,
( h4(e12) != e22
| h4(e12) != op2(e22,e20)
| e22 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(e22,e20)) ),[0],$fot(e22)]]) ).
cnf(refute_10_473,plain,
( h4(e12) != op2(e22,e20)
| e22 = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_69,refute_10_472]) ).
cnf(refute_10_474,plain,
( e22 = op2(e22,e20)
| op1(e11,e10) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e22,e20)) )],[refute_10_471,refute_10_473]) ).
cnf(refute_10_475,plain,
( e22 != op2(e22,e20)
| op2(e22,e20) = e22 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_10_476,plain,
( op1(e11,e10) = e12
| op2(e22,e20) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e20)) )],[refute_10_474,refute_10_475]) ).
cnf(refute_10_477,plain,
( e22 != e22
| op2(e22,e20) != e22
| op2(e22,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0,0],$fot(e22)]]) ).
cnf(refute_10_478,plain,
( e22 != e22
| op1(e11,e10) = e12
| op2(e22,e20) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_10_476,refute_10_477]) ).
cnf(refute_10_479,plain,
( e22 != e22
| op1(e11,e10) = e12
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_10_478,refute_10_405]) ).
cnf(refute_10_480,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_10_481,plain,
( op1(e11,e10) = e12
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_10_480,refute_10_479]) ).
cnf(refute_10_482,plain,
( op1(e11,e10) != e10
| op1(e11,e10) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e10) ),[0],$fot(e12)]]) ).
cnf(refute_10_483,plain,
( op1(e11,e10) != e10
| e12 = e10
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_10_481,refute_10_482]) ).
cnf(refute_10_484,plain,
( e12 = e10
| op1(e10,e10) = e10
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_10_379,refute_10_483]) ).
cnf(refute_10_485,plain,
e10 != e12,
inference(canonicalize,[],[normalize_10_97]) ).
cnf(refute_10_486,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_10_487,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_10_486,refute_10_485]) ).
cnf(refute_10_488,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_10_484,refute_10_487]) ).
cnf(refute_10_489,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e10
| h4(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e10)]]) ).
cnf(refute_10_490,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e10) = h1(e11)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_10_488,refute_10_489]) ).
cnf(refute_10_491,plain,
( h4(e10) = h1(e11)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_10_342,refute_10_490]) ).
cnf(refute_10_492,plain,
( h4(e10) != e20
| h4(e10) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h1(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_10_493,plain,
( h4(e10) != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_282,refute_10_492]) ).
cnf(refute_10_494,plain,
( e20 = h1(e11)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_10_491,refute_10_493]) ).
cnf(refute_10_495,plain,
( e20 != h1(e11)
| h1(e11) = e20 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e20)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_10_496,plain,
( h1(e11) = e20
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_10_494,refute_10_495]) ).
cnf(refute_10_497,plain,
( h1(e11) != e20
| h1(e11) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[0],$fot(e20)]]) ).
cnf(refute_10_498,plain,
( h1(e11) != e23
| e20 = e23
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_10_496,refute_10_497]) ).
cnf(refute_10_499,plain,
( e20 = e23
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_10_324,refute_10_498]) ).
cnf(refute_10_500,plain,
e20 != e23,
inference(canonicalize,[],[normalize_10_98]) ).
cnf(refute_10_501,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_10_499,refute_10_500]) ).
cnf(refute_10_502,plain,
( op2(op2(e21,e23),op2(e21,e23)) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_10_501,refute_10_133]) ).
cnf(refute_10_503,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_10_99]) ).
cnf(refute_10_504,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_10_505,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_10_101,refute_10_504]) ).
cnf(refute_10_506,plain,
( e13 != op1(e12,e13)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_10_505,refute_10_503]) ).
cnf(refute_10_507,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_10_100]) ).
cnf(refute_10_508,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e12)]]) ).
cnf(refute_10_509,plain,
( op1(e10,e13) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_10_28,refute_10_508]) ).
cnf(refute_10_510,plain,
( e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_10_507,refute_10_509]) ).
cnf(refute_10_511,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_10_512,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_6,refute_10_511]) ).
cnf(refute_10_513,plain,
( e11 = e13
| e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_10_510,refute_10_512]) ).
cnf(refute_10_514,plain,
e11 != e13,
inference(canonicalize,[],[normalize_10_101]) ).
cnf(refute_10_515,plain,
( e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_10_513,refute_10_514]) ).
cnf(refute_10_516,plain,
( op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_10_515,refute_10_467]) ).
cnf(refute_10_517,plain,
( e13 != e13
| op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_10_518,plain,
( e13 != e13
| e13 = op1(e12,e13)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_10_516,refute_10_517]) ).
cnf(refute_10_519,plain,
( e13 != e13
| op1(e11,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_10_518,refute_10_506]) ).
cnf(refute_10_520,plain,
( op1(e11,e13) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_10_364,refute_10_519]) ).
cnf(refute_10_521,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| h4(e13) = op2(e21,e23)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_10_520,refute_10_304]) ).
cnf(refute_10_522,plain,
( h4(e13) = op2(e21,e23)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_10_259,refute_10_521]) ).
cnf(refute_10_523,plain,
( e23 = op2(e21,e23)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,e23)) )],[refute_10_522,refute_10_308]) ).
cnf(refute_10_524,plain,
( op2(e21,e23) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e23)) )],[refute_10_523,refute_10_310]) ).
cnf(refute_10_525,plain,
( op2(e21,e23) != e23
| op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(op2(e21,e23),e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_10_526,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(op2(e21,e23),e23) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_10_524,refute_10_525]) ).
cnf(refute_10_527,plain,
( op2(op2(e21,e23),e23) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) )],[refute_10_502,refute_10_526]) ).
cnf(refute_10_528,plain,
( op2(e21,e23) != e23
| op2(op2(e21,e23),e23) != e23
| op2(e23,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e23),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_10_529,plain,
( op2(op2(e21,e23),e23) != e23
| op2(e23,e23) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_10_524,refute_10_528]) ).
cnf(refute_10_530,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),e23) )],[refute_10_527,refute_10_529]) ).
cnf(refute_10_531,plain,
( e21 = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_10_530,refute_10_300]) ).
cnf(refute_10_532,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_10_531,refute_10_302]) ).
cnf(refute_10_533,plain,
( ~ definitionFOFtoCNF_0
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_10_532,refute_10_43]) ).
cnf(refute_10_534,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_10_102]) ).
cnf(refute_10_535,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_10_536,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_138,refute_10_535]) ).
cnf(refute_10_537,plain,
h1(e11) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_10_536,refute_10_534]) ).
cnf(refute_10_538,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_10_103]) ).
cnf(refute_10_539,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_10_540,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) != op2(e20,h4(e12))
| op2(e20,h4(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_10_541,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_10_539,refute_10_540]) ).
cnf(refute_10_542,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_69,refute_10_541]) ).
cnf(refute_10_543,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_10_544,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_10_545,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_10_543,refute_10_544]) ).
cnf(refute_10_546,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_282,refute_10_545]) ).
cnf(refute_10_547,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_10_548,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_10_546,refute_10_547]) ).
cnf(refute_10_549,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_10_542,refute_10_548]) ).
cnf(refute_10_550,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_10_551,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_10_549,refute_10_550]) ).
cnf(refute_10_552,plain,
h4(op1(e10,e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_10_538,refute_10_551]) ).
cnf(refute_10_553,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(canonicalize,[],[normalize_10_104]) ).
cnf(refute_10_554,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_10_555,plain,
( op1(e10,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_10_28,refute_10_554]) ).
cnf(refute_10_556,plain,
( e12 = e10
| op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_10_553,refute_10_555]) ).
cnf(refute_10_557,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_10_556,refute_10_487]) ).
cnf(refute_10_558,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_10_557,refute_10_38]) ).
cnf(refute_10_559,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e10
| h4(e10) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e10)]]) ).
cnf(refute_10_560,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e10) = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_10_558,refute_10_559]) ).
cnf(refute_10_561,plain,
( h4(e10) = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_10_552,refute_10_560]) ).
cnf(refute_10_562,plain,
( h4(e10) != e20
| h4(e10) != op2(e20,e22)
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e20,e22)) ),[0],$fot(e20)]]) ).
cnf(refute_10_563,plain,
( h4(e10) != op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_282,refute_10_562]) ).
cnf(refute_10_564,plain,
( e20 = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e22)) )],[refute_10_561,refute_10_563]) ).
cnf(refute_10_565,plain,
( e20 != op2(e20,e22)
| op2(e20,e22) = e20 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_10_566,plain,
( op1(e10,e10) = e10
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_10_564,refute_10_565]) ).
cnf(refute_10_567,plain,
( h1(e11) != e20
| op2(e20,e22) != e20
| h1(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_10_568,plain,
( h1(e11) != e20
| h1(e11) = op2(e20,e22)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_10_566,refute_10_567]) ).
cnf(refute_10_569,plain,
( h1(e11) != e20
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_10_568,refute_10_537]) ).
cnf(refute_10_570,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_10_105]) ).
cnf(refute_10_571,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_10_106]) ).
cnf(refute_10_572,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_10_107]) ).
cnf(refute_10_573,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = h3(e10) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_10_574,plain,
op2(e22,op2(e22,e22)) = h3(e10),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_10_572,refute_10_573]) ).
cnf(refute_10_575,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_10_576,plain,
( op2(e22,op2(e22,e22)) != h3(e10)
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(h3(e10))]]) ).
cnf(refute_10_577,plain,
( op2(e22,op2(e22,e22)) != h3(e10)
| op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_10_575,refute_10_576]) ).
cnf(refute_10_578,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),h3(e10)) )],[refute_10_574,refute_10_577]) ).
cnf(refute_10_579,plain,
( h3(e12) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != op2(h3(e10),e22)
| h3(e12) = op2(h3(e10),e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(h3(e10),e22)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_10_580,plain,
( h3(e12) != op2(op2(e22,op2(e22,e22)),e22)
| h3(e12) = op2(h3(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(h3(e10),e22)) )],[refute_10_578,refute_10_579]) ).
cnf(refute_10_581,plain,
h3(e12) = op2(h3(e10),e22),
inference(resolve,[$cnf( $equal(h3(e12),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_10_571,refute_10_580]) ).
cnf(refute_10_582,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_10_583,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_10_584,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_10_582,refute_10_583]) ).
cnf(refute_10_585,plain,
op2(e22,op2(e22,e22)) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_47,refute_10_584]) ).
cnf(refute_10_586,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) != op2(e22,h3(e11))
| h3(e10) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),op2(e22,h3(e11))) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_10_587,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| h3(e10) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h3(e11))) )],[refute_10_585,refute_10_586]) ).
cnf(refute_10_588,plain,
h3(e10) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_10_572,refute_10_587]) ).
cnf(refute_10_589,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e11) != e23
| h3(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_10_590,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e10) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_10_126,refute_10_589]) ).
cnf(refute_10_591,plain,
( h3(e10) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) )],[refute_10_588,refute_10_590]) ).
cnf(refute_10_592,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_10_108]) ).
cnf(refute_10_593,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_10_594,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_47,refute_10_593]) ).
cnf(refute_10_595,plain,
h3(e11) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_10_594,refute_10_592]) ).
cnf(refute_10_596,plain,
( e23 != op2(e22,e23)
| h3(e11) != e23
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_10_597,plain,
( e23 != op2(e22,e23)
| h3(e11) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_10_126,refute_10_596]) ).
cnf(refute_10_598,plain,
( e23 != op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_10_597,refute_10_595]) ).
cnf(refute_10_599,plain,
( e23 != e23
| op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_10_600,plain,
( e23 != e23
| e23 = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_10_237,refute_10_599]) ).
cnf(refute_10_601,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_10_600,refute_10_598]) ).
cnf(refute_10_602,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_10_130,refute_10_601]) ).
cnf(refute_10_603,plain,
( h3(e10) != op2(e22,e23)
| op2(e22,e23) != e20
| h3(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),e20) ),[0],$fot(op2(e22,e23))]]) ).
cnf(refute_10_604,plain,
( h3(e10) != op2(e22,e23)
| h3(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_10_602,refute_10_603]) ).
cnf(refute_10_605,plain,
( h3(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e23)) )],[refute_10_591,refute_10_604]) ).
cnf(refute_10_606,plain,
( h3(e10) != e20
| h3(e12) != op2(h3(e10),e22)
| h3(e12) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e12),op2(h3(e10),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_10_607,plain,
( h3(e12) != op2(h3(e10),e22)
| h3(e12) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_10_605,refute_10_606]) ).
cnf(refute_10_608,plain,
( h3(e12) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(h3(e10),e22)) )],[refute_10_581,refute_10_607]) ).
cnf(refute_10_609,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) = h3(e12) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_10_610,plain,
( op2(e20,e22) = h3(e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_10_608,refute_10_609]) ).
cnf(refute_10_611,plain,
( op2(e20,e22) != h3(e12)
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e22),h3(e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) ),[0,1],$fot(h3(e12))]]) ).
cnf(refute_10_612,plain,
( op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e22),h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e12)) )],[refute_10_610,refute_10_611]) ).
cnf(refute_10_613,plain,
( op2(op2(e20,e22),h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) )],[refute_10_570,refute_10_612]) ).
cnf(refute_10_614,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_10_110]) ).
cnf(refute_10_615,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_10_616,plain,
( op2(e20,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_138,refute_10_615]) ).
cnf(refute_10_617,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_10_614,refute_10_616]) ).
cnf(refute_10_618,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_10_619,plain,
( op2(e20,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_10_61,refute_10_618]) ).
cnf(refute_10_620,plain,
( e22 = e20
| h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_10_617,refute_10_619]) ).
cnf(refute_10_621,plain,
e20 != e22,
inference(canonicalize,[],[normalize_10_111]) ).
cnf(refute_10_622,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_10_623,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_10_622,refute_10_621]) ).
cnf(refute_10_624,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_10_620,refute_10_623]) ).
cnf(refute_10_625,plain,
( h1(e11) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_10_624,refute_10_170]) ).
cnf(refute_10_626,plain,
( op2(e20,e22) != e20
| op2(op2(e20,e22),h3(e12)) != e22
| op2(e20,h3(e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) ),[0,0],$fot(e20)]]) ).
cnf(refute_10_627,plain,
( op2(op2(e20,e22),h3(e12)) != e22
| h1(e11) = e20
| op2(e20,h3(e12)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_10_625,refute_10_626]) ).
cnf(refute_10_628,plain,
( h1(e11) = e20
| op2(e20,h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) )],[refute_10_613,refute_10_627]) ).
cnf(refute_10_629,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) != e20
| h3(e12) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),e20) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_10_630,plain,
( h3(e12) != op2(e20,e22)
| h1(e11) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_10_625,refute_10_629]) ).
cnf(refute_10_631,plain,
( h1(e11) = e20
| h3(e12) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_10_608,refute_10_630]) ).
cnf(refute_10_632,plain,
( h3(e12) != e20
| op2(e20,h3(e12)) != e22
| op2(e20,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e12)),e22) ),[0,1],$fot(e20)]]) ).
cnf(refute_10_633,plain,
( op2(e20,h3(e12)) != e22
| h1(e11) = e20
| op2(e20,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),e20) )],[refute_10_631,refute_10_632]) ).
cnf(refute_10_634,plain,
( h1(e11) = e20
| op2(e20,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e12)),e22) )],[refute_10_628,refute_10_633]) ).
cnf(refute_10_635,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_10_636,plain,
( op2(e20,e20) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_138,refute_10_635]) ).
cnf(refute_10_637,plain,
( h1(e11) = e20
| h1(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_10_634,refute_10_636]) ).
cnf(refute_10_638,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_10_112]) ).
cnf(refute_10_639,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_10_640,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_138,refute_10_639]) ).
cnf(refute_10_641,plain,
( h1(e11) != e22
| op2(e20,e23) != e22
| h1(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_10_642,plain,
( h1(e11) != e22
| h1(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_10_61,refute_10_641]) ).
cnf(refute_10_643,plain,
( h1(e11) != e22
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e23)) )],[refute_10_642,refute_10_640]) ).
cnf(refute_10_644,plain,
h1(e11) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_10_643,refute_10_638]) ).
cnf(refute_10_645,plain,
( h1(e11) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_10_637,refute_10_644]) ).
cnf(refute_10_646,plain,
( e20 != e20
| h1(e11) != e20
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(e20)]]) ).
cnf(refute_10_647,plain,
( e20 != e20
| h1(e11) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_10_645,refute_10_646]) ).
cnf(refute_10_648,plain,
( e20 != e20
| op1(e10,e10) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_10_647,refute_10_569]) ).
cnf(refute_10_649,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_10_291,refute_10_648]) ).
cnf(refute_10_650,plain,
( ~ definitionFOFtoCNF_2
| op1(op1(e12,e13),op1(e12,e13)) = e13 ),
inference(canonicalize,[],[normalize_10_115]) ).
cnf(refute_10_651,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_10_116]) ).
cnf(refute_10_652,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_10_121]) ).
cnf(refute_10_653,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_10_654,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_10_655,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_10_653,refute_10_654]) ).
cnf(refute_10_656,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_6,refute_10_655]) ).
cnf(refute_10_657,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_10_658,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_10_659,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_10_657,refute_10_658]) ).
cnf(refute_10_660,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_6,refute_10_659]) ).
cnf(refute_10_661,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_10_662,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_10_660,refute_10_661]) ).
cnf(refute_10_663,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_10_656,refute_10_662]) ).
cnf(refute_10_664,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e13
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| op1(e11,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e13) ),[0],$fot(op1(e11,e11))]]) ).
cnf(refute_10_665,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_10_663,refute_10_664]) ).
cnf(refute_10_666,plain,
( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e13) )],[refute_10_652,refute_10_665]) ).
cnf(refute_10_667,plain,
( op1(e10,e11) != e13
| op1(e11,e11) != e13
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_10_668,plain,
( op1(e10,e11) != e13
| op1(e10,e11) = op1(e11,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_10_666,refute_10_667]) ).
cnf(refute_10_669,plain,
( op1(e10,e11) != e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_10_668,refute_10_651]) ).
cnf(refute_10_670,plain,
( e13 != e13
| op1(e10,e11) != e13
| op1(e10,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_10_671,plain,
( e13 != e13
| op1(e10,e11) = e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_10_39,refute_10_670]) ).
cnf(refute_10_672,plain,
( e13 != e13
| op1(e10,e11) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_10_671,refute_10_669]) ).
cnf(refute_10_673,plain,
( op1(e10,e11) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_10_364,refute_10_672]) ).
cnf(refute_10_674,plain,
( op1(e10,e10) != e11
| op1(e10,e11) != e11
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_10_675,plain,
( op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e11)
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_10_39,refute_10_674]) ).
cnf(refute_10_676,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_10_675,refute_10_14]) ).
cnf(refute_10_677,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_10_122]) ).
cnf(refute_10_678,plain,
op1(e10,op1(e13,e11)) = op1(e10,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e11)))]]) ).
cnf(refute_10_679,plain,
( op1(e10,op1(e13,e11)) != op1(e10,op1(e13,e11))
| op1(e13,e11) != e10
| op1(e10,op1(e13,e11)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,op1(e13,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_10_680,plain,
( op1(e13,e11) != e10
| op1(e10,op1(e13,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,op1(e13,e11))) )],[refute_10_678,refute_10_679]) ).
cnf(refute_10_681,plain,
op1(e10,op1(e13,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_10_35,refute_10_680]) ).
cnf(refute_10_682,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(op1(e13,e11),op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e11),op1(e13,e11)))]]) ).
cnf(refute_10_683,plain,
( op1(e13,e11) != e10
| op1(op1(e13,e11),op1(e13,e11)) != op1(op1(e13,e11),op1(e13,e11))
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(op1(e13,e11),op1(e13,e11))) ),[1,0],$fot(e10)]]) ).
cnf(refute_10_684,plain,
( op1(e13,e11) != e10
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(op1(e13,e11),op1(e13,e11))) )],[refute_10_682,refute_10_683]) ).
cnf(refute_10_685,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(e10,op1(e13,e11)),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_10_35,refute_10_684]) ).
cnf(refute_10_686,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e10)
| op1(op1(e13,e11),op1(e13,e11)) != op1(e10,op1(e13,e11))
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op1(op1(e13,e11),op1(e13,e11)))),bind(Y,$fot(op1(e10,op1(e13,e11)))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_10_687,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e10)
| op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(e10,op1(e13,e11))) )],[refute_10_685,refute_10_686]) ).
cnf(refute_10_688,plain,
op1(op1(e13,e11),op1(e13,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,e10)) )],[refute_10_681,refute_10_687]) ).
cnf(refute_10_689,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| op1(op1(e13,e11),op1(e13,e11)) != op1(e10,e10)
| op1(e10,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),e11) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_10_690,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| op1(e10,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),op1(e10,e10)) )],[refute_10_688,refute_10_689]) ).
cnf(refute_10_691,plain,
( op1(e10,e10) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),op1(e13,e11)),e11) )],[refute_10_677,refute_10_690]) ).
cnf(refute_10_692,plain,
( e11 != e11
| op1(e10,e10) != e11
| op1(e10,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(e11)]]) ).
cnf(refute_10_693,plain,
( e11 != e11
| op1(e10,e10) = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_10_691,refute_10_692]) ).
cnf(refute_10_694,plain,
( e11 != e11
| op1(e10,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_10_693,refute_10_676]) ).
cnf(refute_10_695,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_10_696,plain,
( op1(e10,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_10_695,refute_10_694]) ).
cnf(refute_10_697,plain,
( op1(e10,e11) != e11
| op1(e10,e11) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e13)]]) ).
cnf(refute_10_698,plain,
( op1(e10,e11) != e11
| e13 = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_10_696,refute_10_697]) ).
cnf(refute_10_699,plain,
( e13 = e11
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_10_673,refute_10_698]) ).
cnf(refute_10_700,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_10_701,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_10_700,refute_10_514]) ).
cnf(refute_10_702,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_10_699,refute_10_701]) ).
cnf(refute_10_703,plain,
( op1(op1(e12,e13),op1(e12,e13)) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_10_702,refute_10_650]) ).
cnf(refute_10_704,plain,
( op2(e21,e23) != e20
| op2(e21,e23) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_10_602,refute_10_260]) ).
cnf(refute_10_705,plain,
( op2(e21,e23) != e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_10_704,refute_10_224]) ).
cnf(refute_10_706,plain,
( e20 != e20
| op1(e11,e13) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_10_289,refute_10_705]) ).
cnf(refute_10_707,plain,
( op1(e11,e13) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_10_291,refute_10_706]) ).
cnf(refute_10_708,plain,
( e13 != e13
| op1(e11,e13) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_10_707,refute_10_361]) ).
cnf(refute_10_709,plain,
( e13 != e13
| op1(e12,e13) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_10_708,refute_10_360]) ).
cnf(refute_10_710,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_10_364,refute_10_709]) ).
cnf(refute_10_711,plain,
( op1(e12,e13) != e10
| op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(op1(e12,e13),e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) ),[0,1],$fot(e10)]]) ).
cnf(refute_10_712,plain,
( op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(op1(e12,e13),e10) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_10_710,refute_10_711]) ).
cnf(refute_10_713,plain,
( op1(op1(e12,e13),e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) )],[refute_10_703,refute_10_712]) ).
cnf(refute_10_714,plain,
( op1(e12,e13) != e10
| op1(op1(e12,e13),e10) != e13
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e10),e13) ),[0,0],$fot(e10)]]) ).
cnf(refute_10_715,plain,
( op1(op1(e12,e13),e10) != e13
| op1(e10,e10) = e13
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_10_710,refute_10_714]) ).
cnf(refute_10_716,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e10),e13) )],[refute_10_713,refute_10_715]) ).
cnf(refute_10_717,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0],$fot(e13)]]) ).
cnf(refute_10_718,plain,
( op1(e10,e10) != e10
| e13 = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_10_716,refute_10_717]) ).
cnf(refute_10_719,plain,
( e13 = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_10_649,refute_10_718]) ).
cnf(refute_10_720,plain,
e10 != e13,
inference(canonicalize,[],[normalize_10_123]) ).
cnf(refute_10_721,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_10_722,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_10_721,refute_10_720]) ).
cnf(refute_10_723,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_10_719,refute_10_722]) ).
cnf(refute_10_724,plain,
( ~ definitionFOFtoCNF_3
| op2(op2(e21,e23),op2(e21,e23)) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_10_723,refute_10_132]) ).
cnf(refute_10_725,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 ),
inference(canonicalize,[],[normalize_10_124]) ).
cnf(refute_10_726,plain,
( op2(op2(e22,e20),op2(e22,e20)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_10_222,refute_10_725]) ).
cnf(refute_10_727,plain,
h1(e12) = op2(op2(e20,op2(e20,e20)),e20),
inference(canonicalize,[],[normalize_10_125]) ).
cnf(refute_10_728,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_10_126]) ).
cnf(refute_10_729,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = h1(e10) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e20,op2(e20,e20))))]]) ).
cnf(refute_10_730,plain,
op2(e20,op2(e20,e20)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,op2(e20,e20))) )],[refute_10_728,refute_10_729]) ).
cnf(refute_10_731,plain,
op2(op2(e20,op2(e20,e20)),e20) = op2(op2(e20,op2(e20,e20)),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,op2(e20,e20)),e20))]]) ).
cnf(refute_10_732,plain,
( op2(e20,op2(e20,e20)) != h1(e10)
| op2(op2(e20,op2(e20,e20)),e20) != op2(op2(e20,op2(e20,e20)),e20)
| op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e10),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(op2(e20,op2(e20,e20)),e20)) ),[1,0],$fot(h1(e10))]]) ).
cnf(refute_10_733,plain,
( op2(e20,op2(e20,e20)) != h1(e10)
| op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e10),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(op2(e20,op2(e20,e20)),e20)) )],[refute_10_731,refute_10_732]) ).
cnf(refute_10_734,plain,
op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e10),e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),h1(e10)) )],[refute_10_730,refute_10_733]) ).
cnf(refute_10_735,plain,
( h1(e12) != op2(op2(e20,op2(e20,e20)),e20)
| op2(op2(e20,op2(e20,e20)),e20) != op2(h1(e10),e20)
| h1(e12) = op2(h1(e10),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e12),op2(h1(e10),e20)) ),[0],$fot(op2(op2(e20,op2(e20,e20)),e20))]]) ).
cnf(refute_10_736,plain,
( h1(e12) != op2(op2(e20,op2(e20,e20)),e20)
| h1(e12) = op2(h1(e10),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(h1(e10),e20)) )],[refute_10_734,refute_10_735]) ).
cnf(refute_10_737,plain,
h1(e12) = op2(h1(e10),e20),
inference(resolve,[$cnf( $equal(h1(e12),op2(op2(e20,op2(e20,e20)),e20)) )],[refute_10_727,refute_10_736]) ).
cnf(refute_10_738,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_10_739,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_10_740,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_10_738,refute_10_739]) ).
cnf(refute_10_741,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_138,refute_10_740]) ).
cnf(refute_10_742,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) != op2(e20,h1(e11))
| h1(e10) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e20,h1(e11))) ),[0],$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_10_743,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| h1(e10) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e11))) )],[refute_10_741,refute_10_742]) ).
cnf(refute_10_744,plain,
h1(e10) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,op2(e20,e20))) )],[refute_10_728,refute_10_743]) ).
cnf(refute_10_745,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e11) != e23
| h1(e10) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_10_746,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = op2(e20,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_10_324,refute_10_745]) ).
cnf(refute_10_747,plain,
( h1(e10) = op2(e20,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_10_744,refute_10_746]) ).
cnf(refute_10_748,plain,
( h1(e10) != op2(e20,e23)
| op2(e20,e23) != e22
| h1(e10) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e22) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_10_749,plain,
( h1(e10) != op2(e20,e23)
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_10_61,refute_10_748]) ).
cnf(refute_10_750,plain,
( h1(e10) = e22
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e23)) )],[refute_10_747,refute_10_749]) ).
cnf(refute_10_751,plain,
( h1(e10) != e22
| h1(e12) != op2(h1(e10),e20)
| h1(e12) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),op2(h1(e10),e20)) ),[1,0],$fot(e22)]]) ).
cnf(refute_10_752,plain,
( h1(e12) != op2(h1(e10),e20)
| h1(e12) = op2(e22,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_10_750,refute_10_751]) ).
cnf(refute_10_753,plain,
( h1(e12) = op2(e22,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(h1(e10),e20)) )],[refute_10_737,refute_10_752]) ).
cnf(refute_10_754,plain,
( h1(e12) != op2(e22,e20)
| op2(e22,e20) = h1(e12) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h1(e12))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_10_755,plain,
( op2(e22,e20) = h1(e12)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e22,e20)) )],[refute_10_753,refute_10_754]) ).
cnf(refute_10_756,plain,
( op2(e22,e20) != h1(e12)
| op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e20),h1(e12)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e20),op2(e22,e20)),e20) ),[0,1],$fot(h1(e12))]]) ).
cnf(refute_10_757,plain,
( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e20),h1(e12)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h1(e12)) )],[refute_10_755,refute_10_756]) ).
cnf(refute_10_758,plain,
( op2(op2(e22,e20),h1(e12)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),op2(e22,e20)),e20) )],[refute_10_726,refute_10_757]) ).
cnf(refute_10_759,plain,
op2(e20,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_10_127]) ).
cnf(refute_10_760,plain,
( h1(e11) != op2(e22,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_10_761,plain,
( h1(e11) != op2(e22,e20)
| op2(e20,e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_138,refute_10_760]) ).
cnf(refute_10_762,plain,
h1(e11) != op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e22,e20)) )],[refute_10_761,refute_10_759]) ).
cnf(refute_10_763,plain,
( e23 != op2(e22,e20)
| h1(e11) != e23
| h1(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_10_764,plain,
( e23 != op2(e22,e20)
| h1(e11) = op2(e22,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_10_324,refute_10_763]) ).
cnf(refute_10_765,plain,
( e23 != op2(e22,e20)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e22,e20)) )],[refute_10_764,refute_10_762]) ).
cnf(refute_10_766,plain,
op2(e22,e20) != op2(e22,e23),
inference(canonicalize,[],[normalize_10_128]) ).
cnf(refute_10_767,plain,
( op2(e22,e20) != e20
| op2(e22,e23) != e20
| op2(e22,e20) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_10_768,plain,
( op2(e22,e20) != e20
| op2(e22,e20) = op2(e22,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_10_315,refute_10_767]) ).
cnf(refute_10_769,plain,
( op2(e22,e20) != e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e23)) )],[refute_10_768,refute_10_766]) ).
cnf(refute_10_770,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(canonicalize,[],[normalize_10_129]) ).
cnf(refute_10_771,plain,
( e20 != e20
| op2(e22,e20) != e20
| op2(e22,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_10_772,plain,
( e20 != e20
| op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_10_770,refute_10_771]) ).
cnf(refute_10_773,plain,
( e20 != e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_10_772,refute_10_769]) ).
cnf(refute_10_774,plain,
( op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_10_291,refute_10_773]) ).
cnf(refute_10_775,plain,
( e22 != e22
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_10_774,refute_10_477]) ).
cnf(refute_10_776,plain,
( e22 != e22
| op2(e22,e20) = e21
| op2(e22,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_10_775,refute_10_405]) ).
cnf(refute_10_777,plain,
( op2(e22,e20) = e21
| op2(e22,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_10_480,refute_10_776]) ).
cnf(refute_10_778,plain,
( e23 != e23
| op2(e22,e20) != e23
| e23 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_10_779,plain,
( e23 != e23
| e23 = op2(e22,e20)
| op2(e22,e20) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_10_777,refute_10_778]) ).
cnf(refute_10_780,plain,
( e23 != e23
| op2(e22,e20) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e20)) )],[refute_10_779,refute_10_765]) ).
cnf(refute_10_781,plain,
( op2(e22,e20) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_10_130,refute_10_780]) ).
cnf(refute_10_782,plain,
( op2(e22,e20) != e21
| op2(op2(e22,e20),h1(e12)) != e20
| op2(e21,h1(e12)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e20),h1(e12)),e20) ),[0,0],$fot(e21)]]) ).
cnf(refute_10_783,plain,
( op2(op2(e22,e20),h1(e12)) != e20
| op2(e21,h1(e12)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_10_781,refute_10_782]) ).
cnf(refute_10_784,plain,
( op2(e21,h1(e12)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),h1(e12)),e20) )],[refute_10_758,refute_10_783]) ).
cnf(refute_10_785,plain,
( h1(e12) != op2(e22,e20)
| op2(e22,e20) != e21
| h1(e12) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e12),e21) ),[0],$fot(op2(e22,e20))]]) ).
cnf(refute_10_786,plain,
( h1(e12) != op2(e22,e20)
| h1(e12) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_10_781,refute_10_785]) ).
cnf(refute_10_787,plain,
( h1(e12) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e22,e20)) )],[refute_10_753,refute_10_786]) ).
cnf(refute_10_788,plain,
( h1(e12) != e21
| op2(e21,h1(e12)) != e20
| op2(e21,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h1(e12)),e20) ),[0,1],$fot(e21)]]) ).
cnf(refute_10_789,plain,
( op2(e21,h1(e12)) != e20
| op2(e21,e21) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_10_787,refute_10_788]) ).
cnf(refute_10_790,plain,
( op2(e21,e21) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,h1(e12)),e20) )],[refute_10_784,refute_10_789]) ).
cnf(refute_10_791,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e11)
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e11))]]) ).
cnf(refute_10_792,plain,
( op2(e21,e21) != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_10_145,refute_10_791]) ).
cnf(refute_10_793,plain,
( h2(e11) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_10_790,refute_10_792]) ).
cnf(refute_10_794,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_10_130]) ).
cnf(refute_10_795,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_10_796,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_10_145,refute_10_795]) ).
cnf(refute_10_797,plain,
h2(e11) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_10_796,refute_10_794]) ).
cnf(refute_10_798,plain,
( h2(e11) != e20
| op2(e23,e21) != e20
| h2(e11) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_10_799,plain,
( h2(e11) != e20
| h2(e11) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_10_167,refute_10_798]) ).
cnf(refute_10_800,plain,
h2(e11) != e20,
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e21)) )],[refute_10_799,refute_10_797]) ).
cnf(refute_10_801,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_10_793,refute_10_800]) ).
cnf(refute_10_802,plain,
( op2(op2(e21,e23),op2(e21,e23)) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_10_801,refute_10_724]) ).
cnf(refute_10_803,plain,
( op1(e12,e13) != e13
| op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(op1(e12,e13),e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_10_804,plain,
( op1(op1(e12,e13),op1(e12,e13)) != e13
| op1(e11,e13) = e13
| op1(op1(e12,e13),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_10_516,refute_10_803]) ).
cnf(refute_10_805,plain,
( op1(e11,e13) = e13
| op1(op1(e12,e13),e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),op1(e12,e13)),e13) )],[refute_10_703,refute_10_804]) ).
cnf(refute_10_806,plain,
( op1(e12,e13) != e13
| op1(op1(e12,e13),e13) != e13
| op1(e13,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_10_807,plain,
( op1(op1(e12,e13),e13) != e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_10_516,refute_10_806]) ).
cnf(refute_10_808,plain,
( op1(e11,e13) = e13
| op1(e13,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),e13) )],[refute_10_805,refute_10_807]) ).
cnf(refute_10_809,plain,
( e11 = e13
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_10_808,refute_10_512]) ).
cnf(refute_10_810,plain,
( op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_10_809,refute_10_514]) ).
cnf(refute_10_811,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| h4(e13) = op2(e21,e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_10_810,refute_10_304]) ).
cnf(refute_10_812,plain,
( h4(e13) = op2(e21,e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_10_259,refute_10_811]) ).
cnf(refute_10_813,plain,
( e23 = op2(e21,e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,e23)) )],[refute_10_812,refute_10_308]) ).
cnf(refute_10_814,plain,
( op2(e21,e23) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e23)) )],[refute_10_813,refute_10_310]) ).
cnf(refute_10_815,plain,
( op2(e21,e23) != e23
| op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(e23,op2(e21,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_10_816,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(e23,op2(e21,e23)) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_10_814,refute_10_815]) ).
cnf(refute_10_817,plain,
( op2(e23,op2(e21,e23)) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) )],[refute_10_802,refute_10_816]) ).
cnf(refute_10_818,plain,
( op2(e21,e23) != e23
| op2(e23,op2(e21,e23)) != e23
| op2(e23,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_10_819,plain,
( op2(e23,op2(e21,e23)) != e23
| op2(e23,e23) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_10_814,refute_10_818]) ).
cnf(refute_10_820,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e23)),e23) )],[refute_10_817,refute_10_819]) ).
cnf(refute_10_821,plain,
( e21 = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_10_820,refute_10_300]) ).
cnf(refute_10_822,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_10_821,refute_10_302]) ).
cnf(refute_10_823,plain,
op1(op1(e11,e13),op1(e11,e13)) = e13,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_10_822,refute_10_533]) ).
cnf(refute_10_824,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(op1(e11,e10),op1(e11,e10)) = e10 ),
inference(canonicalize,[],[normalize_10_131]) ).
cnf(refute_10_825,plain,
( ~ definitionFOFtoCNF_0
| op1(op1(e11,e10),op1(e11,e10)) = e10 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_10_532,refute_10_824]) ).
cnf(refute_10_826,plain,
op1(op1(e11,e10),op1(e11,e10)) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_10_822,refute_10_825]) ).
cnf(refute_10_827,plain,
op2(e21,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_10_132]) ).
cnf(refute_10_828,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_10_829,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_10_145,refute_10_828]) ).
cnf(refute_10_830,plain,
h2(e11) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_10_829,refute_10_827]) ).
cnf(refute_10_831,plain,
h4(op1(e12,e11)) = op2(h4(e12),h4(e11)),
inference(canonicalize,[],[normalize_10_133]) ).
cnf(refute_10_832,plain,
op2(e22,h4(e11)) = op2(e22,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e11)))]]) ).
cnf(refute_10_833,plain,
( h4(e11) != e21
| op2(e22,h4(e11)) != op2(e22,h4(e11))
| op2(e22,h4(e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_10_834,plain,
( h4(e11) != e21
| op2(e22,h4(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) )],[refute_10_832,refute_10_833]) ).
cnf(refute_10_835,plain,
op2(e22,h4(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_10_249,refute_10_834]) ).
cnf(refute_10_836,plain,
op2(h4(e12),h4(e11)) = op2(h4(e12),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_10_837,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) = op2(e22,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) ),[1,0],$fot(e22)]]) ).
cnf(refute_10_838,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e11)) = op2(e22,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) )],[refute_10_836,refute_10_837]) ).
cnf(refute_10_839,plain,
op2(h4(e12),h4(e11)) = op2(e22,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_69,refute_10_838]) ).
cnf(refute_10_840,plain,
( op2(e22,h4(e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) != op2(e22,h4(e11))
| op2(h4(e12),h4(e11)) = op2(e22,e21) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e22,h4(e11)))),bind(Z,$fot(op2(e22,e21)))]]) ).
cnf(refute_10_841,plain,
( op2(e22,h4(e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,h4(e11))) )],[refute_10_839,refute_10_840]) ).
cnf(refute_10_842,plain,
op2(h4(e12),h4(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,e21)) )],[refute_10_835,refute_10_841]) ).
cnf(refute_10_843,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) != op2(e22,e21)
| h4(op1(e12,e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e22,e21)) ),[0],$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_10_844,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,e21)) )],[refute_10_842,refute_10_843]) ).
cnf(refute_10_845,plain,
h4(op1(e12,e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) )],[refute_10_831,refute_10_844]) ).
cnf(refute_10_846,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(canonicalize,[],[normalize_10_134]) ).
cnf(refute_10_847,plain,
( op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_10_846,refute_10_31]) ).
cnf(refute_10_848,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_10_849,plain,
( op1(e13,e11) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_10_35,refute_10_848]) ).
cnf(refute_10_850,plain,
( e10 = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_10_847,refute_10_849]) ).
cnf(refute_10_851,plain,
( op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_10_850,refute_10_485]) ).
cnf(refute_10_852,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| op1(e12,e11) != e12
| h4(e12) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e22,e21)) ),[0,0],$fot(e12)]]) ).
cnf(refute_10_853,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| h4(e12) = op2(e22,e21)
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_10_851,refute_10_852]) ).
cnf(refute_10_854,plain,
( h4(e12) = op2(e22,e21)
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e22,e21)) )],[refute_10_845,refute_10_853]) ).
cnf(refute_10_855,plain,
( h4(e12) != e22
| h4(e12) != op2(e22,e21)
| e22 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(e22,e21)) ),[0],$fot(e22)]]) ).
cnf(refute_10_856,plain,
( h4(e12) != op2(e22,e21)
| e22 = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_69,refute_10_855]) ).
cnf(refute_10_857,plain,
( e22 = op2(e22,e21)
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e22,e21)) )],[refute_10_854,refute_10_856]) ).
cnf(refute_10_858,plain,
( e22 != op2(e22,e21)
| op2(e22,e21) = e22 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_10_859,plain,
( op1(e11,e11) = e12
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e21)) )],[refute_10_857,refute_10_858]) ).
cnf(refute_10_860,plain,
( h2(e11) != e22
| op2(e22,e21) != e22
| h2(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e22,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_10_861,plain,
( h2(e11) != e22
| h2(e11) = op2(e22,e21)
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_10_859,refute_10_860]) ).
cnf(refute_10_862,plain,
( h2(e11) != e22
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e21)) )],[refute_10_861,refute_10_830]) ).
cnf(refute_10_863,plain,
( e20 != op2(e20,e22)
| h1(e11) != e20
| h1(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_10_864,plain,
( e20 != op2(e20,e22)
| h1(e11) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_10_645,refute_10_863]) ).
cnf(refute_10_865,plain,
( e20 != op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_10_864,refute_10_537]) ).
cnf(refute_10_866,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_10_135]) ).
cnf(refute_10_867,plain,
( op2(e20,e22) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_10_868,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_47,refute_10_867]) ).
cnf(refute_10_869,plain,
op2(e20,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_10_868,refute_10_866]) ).
cnf(refute_10_870,plain,
( h3(e11) != e23
| op2(e20,e22) != e23
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h3(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_10_871,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = h3(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_10_126,refute_10_870]) ).
cnf(refute_10_872,plain,
( op2(e20,e22) != e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_10_871,refute_10_869]) ).
cnf(refute_10_873,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_10_136]) ).
cnf(refute_10_874,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_10_137]) ).
cnf(refute_10_875,plain,
( op2(e20,e22) != e22
| op2(e20,e23) != e22
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_10_876,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_10_61,refute_10_875]) ).
cnf(refute_10_877,plain,
op2(e20,e22) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_10_876,refute_10_874]) ).
cnf(refute_10_878,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_10_873,refute_10_877]) ).
cnf(refute_10_879,plain,
( e23 != e23
| op2(e20,e22) != e23
| op2(e20,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_10_880,plain,
( e23 != e23
| op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_10_878,refute_10_879]) ).
cnf(refute_10_881,plain,
( e23 != e23
| op2(e20,e22) = e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_10_880,refute_10_872]) ).
cnf(refute_10_882,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_10_130,refute_10_881]) ).
cnf(refute_10_883,plain,
( e20 != e20
| op2(e20,e22) != e20
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_10_884,plain,
( e20 != e20
| e20 = op2(e20,e22)
| op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_10_882,refute_10_883]) ).
cnf(refute_10_885,plain,
( e20 != e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_10_884,refute_10_865]) ).
cnf(refute_10_886,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_10_291,refute_10_885]) ).
cnf(refute_10_887,plain,
( op2(e20,e22) != e21
| op2(op2(e20,e22),h3(e12)) != e22
| op2(e21,h3(e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) ),[0,0],$fot(e21)]]) ).
cnf(refute_10_888,plain,
( op2(op2(e20,e22),h3(e12)) != e22
| op2(e21,h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_10_886,refute_10_887]) ).
cnf(refute_10_889,plain,
( op2(e21,h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) )],[refute_10_613,refute_10_888]) ).
cnf(refute_10_890,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) != e21
| h3(e12) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),e21) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_10_891,plain,
( h3(e12) != op2(e20,e22)
| h3(e12) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_10_886,refute_10_890]) ).
cnf(refute_10_892,plain,
( h3(e12) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_10_608,refute_10_891]) ).
cnf(refute_10_893,plain,
( h3(e12) != e21
| op2(e21,h3(e12)) != e22
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e12)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_10_894,plain,
( op2(e21,h3(e12)) != e22
| op2(e21,e21) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),e21) )],[refute_10_892,refute_10_893]) ).
cnf(refute_10_895,plain,
( op2(e21,e21) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e12)),e22) )],[refute_10_889,refute_10_894]) ).
cnf(refute_10_896,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_10_897,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_10_145,refute_10_896]) ).
cnf(refute_10_898,plain,
( h2(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_10_895,refute_10_897]) ).
cnf(refute_10_899,plain,
( e22 != e22
| h2(e11) != e22
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[1],$fot(e22)]]) ).
cnf(refute_10_900,plain,
( e22 != e22
| h2(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_10_898,refute_10_899]) ).
cnf(refute_10_901,plain,
( e22 != e22
| op1(e11,e11) = e12
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_10_900,refute_10_862]) ).
cnf(refute_10_902,plain,
( op1(e11,e11) = e12
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_10_480,refute_10_901]) ).
cnf(refute_10_903,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(canonicalize,[],[normalize_10_138]) ).
cnf(refute_10_904,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_10_905,plain,
( op2(e21,e21) != h2(e11)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_10_906,plain,
( op2(e21,e21) != h2(e11)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_10_904,refute_10_905]) ).
cnf(refute_10_907,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_10_145,refute_10_906]) ).
cnf(refute_10_908,plain,
( h2(e10) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) != op2(e21,h2(e11))
| h2(e10) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e21,h2(e11))) ),[0],$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_10_909,plain,
( h2(e10) != op2(e21,op2(e21,e21))
| h2(e10) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e11))) )],[refute_10_907,refute_10_908]) ).
cnf(refute_10_910,plain,
h2(e10) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,op2(e21,e21))) )],[refute_10_903,refute_10_909]) ).
cnf(refute_10_911,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e11) != e22
| h2(e10) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_10_912,plain,
( h2(e10) != op2(e21,h2(e11))
| h2(e10) = op2(e21,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_10_898,refute_10_911]) ).
cnf(refute_10_913,plain,
( h2(e10) = op2(e21,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e11))) )],[refute_10_910,refute_10_912]) ).
cnf(refute_10_914,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_10_139]) ).
cnf(refute_10_915,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) != e10
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_10_916,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) = op1(e10,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_10_649,refute_10_915]) ).
cnf(refute_10_917,plain,
( e10 != op1(e10,e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_10_916,refute_10_914]) ).
cnf(refute_10_918,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_10_140]) ).
cnf(refute_10_919,plain,
op2(e21,h4(e12)) = op2(e21,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).
cnf(refute_10_920,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) != op2(e21,h4(e12))
| op2(e21,h4(e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_10_921,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) )],[refute_10_919,refute_10_920]) ).
cnf(refute_10_922,plain,
op2(e21,h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_69,refute_10_921]) ).
cnf(refute_10_923,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_10_924,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(e21)]]) ).
cnf(refute_10_925,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_10_923,refute_10_924]) ).
cnf(refute_10_926,plain,
op2(h4(e11),h4(e12)) = op2(e21,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_10_249,refute_10_925]) ).
cnf(refute_10_927,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) != op2(e21,h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).
cnf(refute_10_928,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,h4(e12))) )],[refute_10_926,refute_10_927]) ).
cnf(refute_10_929,plain,
op2(h4(e11),h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e22)) )],[refute_10_922,refute_10_928]) ).
cnf(refute_10_930,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(e21,e22)
| h4(op1(e11,e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_10_931,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,e22)) )],[refute_10_929,refute_10_930]) ).
cnf(refute_10_932,plain,
h4(op1(e11,e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_10_918,refute_10_931]) ).
cnf(refute_10_933,plain,
( op1(e12,e12) != e10
| op1(e12,e13) != e10
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_10_934,plain,
( op1(e12,e12) != e10
| op1(e12,e12) = op1(e12,e13)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_10_710,refute_10_933]) ).
cnf(refute_10_935,plain,
( op1(e12,e12) != e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_10_934,refute_10_503]) ).
cnf(refute_10_936,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(canonicalize,[],[normalize_10_141]) ).
cnf(refute_10_937,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_10_936,refute_10_437]) ).
cnf(refute_10_938,plain,
( e10 != e10
| op1(e12,e12) != e10
| op1(e12,e12) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[1],$fot(e10)]]) ).
cnf(refute_10_939,plain,
( e10 != e10
| op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_10_937,refute_10_938]) ).
cnf(refute_10_940,plain,
( e10 != e10
| op1(e10,e12) = e10
| op1(e11,e12) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_10_939,refute_10_935]) ).
cnf(refute_10_941,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_10_378,refute_10_940]) ).
cnf(refute_10_942,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| op1(e11,e12) != e10
| h4(e10) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0,0],$fot(e10)]]) ).
cnf(refute_10_943,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| h4(e10) = op2(e21,e22)
| op1(e10,e12) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_10_941,refute_10_942]) ).
cnf(refute_10_944,plain,
( h4(e10) = op2(e21,e22)
| op1(e10,e12) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_10_932,refute_10_943]) ).
cnf(refute_10_945,plain,
( h4(e10) != e20
| h4(e10) != op2(e21,e22)
| e20 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e21,e22)) ),[0],$fot(e20)]]) ).
cnf(refute_10_946,plain,
( h4(e10) != op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_282,refute_10_945]) ).
cnf(refute_10_947,plain,
( e20 = op2(e21,e22)
| op1(e10,e12) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e22)) )],[refute_10_944,refute_10_946]) ).
cnf(refute_10_948,plain,
( e20 != op2(e21,e22)
| op2(e21,e22) = e20 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_10_949,plain,
( op1(e10,e12) = e10
| op2(e21,e22) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e22)) )],[refute_10_947,refute_10_948]) ).
cnf(refute_10_950,plain,
( h2(e10) != op2(e21,e22)
| op2(e21,e22) != e20
| h2(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),e20) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_10_951,plain,
( h2(e10) != op2(e21,e22)
| h2(e10) = e20
| op1(e10,e12) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_10_949,refute_10_950]) ).
cnf(refute_10_952,plain,
( h2(e10) = e20
| op1(e10,e12) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e22)) )],[refute_10_913,refute_10_951]) ).
cnf(refute_10_953,plain,
( e10 != e10
| op1(e10,e12) != e10
| e10 = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e10,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_10_954,plain,
( e10 != e10
| e10 = op1(e10,e12)
| h2(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_10_952,refute_10_953]) ).
cnf(refute_10_955,plain,
( e10 != e10
| h2(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e10,op1(e10,e12)) )],[refute_10_954,refute_10_917]) ).
cnf(refute_10_956,plain,
( h2(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_10_378,refute_10_955]) ).
cnf(refute_10_957,plain,
( h2(e10) != e20
| h2(e10) != op2(e21,e22)
| e20 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,e22)) ),[0],$fot(e20)]]) ).
cnf(refute_10_958,plain,
( h2(e10) != op2(e21,e22)
| e20 = op2(e21,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e10),e20) )],[refute_10_956,refute_10_957]) ).
cnf(refute_10_959,plain,
( e20 = op2(e21,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e22)) )],[refute_10_913,refute_10_958]) ).
cnf(refute_10_960,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(canonicalize,[],[normalize_10_142]) ).
cnf(refute_10_961,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_10_960,refute_10_267]) ).
cnf(refute_10_962,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| op1(e11,e12) != e11
| h4(e11) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0,0],$fot(e11)]]) ).
cnf(refute_10_963,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| h4(e11) = op2(e21,e22)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_10_961,refute_10_962]) ).
cnf(refute_10_964,plain,
( h4(e11) = op2(e21,e22)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_10_932,refute_10_963]) ).
cnf(refute_10_965,plain,
( h4(e11) != e21
| h4(e11) != op2(e21,e22)
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e21,e22)) ),[0],$fot(e21)]]) ).
cnf(refute_10_966,plain,
( h4(e11) != op2(e21,e22)
| e21 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_10_249,refute_10_965]) ).
cnf(refute_10_967,plain,
( e21 = op2(e21,e22)
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e22)) )],[refute_10_964,refute_10_966]) ).
cnf(refute_10_968,plain,
( e21 != op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_10_969,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_10_967,refute_10_968]) ).
cnf(refute_10_970,plain,
( e20 != op2(e21,e22)
| op2(e21,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e21) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_10_971,plain,
( e20 != op2(e21,e22)
| e20 = e21
| op1(e11,e10) = e11
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_10_969,refute_10_970]) ).
cnf(refute_10_972,plain,
( e20 = e21
| op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e22)) )],[refute_10_959,refute_10_971]) ).
cnf(refute_10_973,plain,
e20 != e21,
inference(canonicalize,[],[normalize_10_143]) ).
cnf(refute_10_974,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_10_972,refute_10_973]) ).
cnf(refute_10_975,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e11)]]) ).
cnf(refute_10_976,plain,
( op1(e11,e11) != e12
| e11 = e12
| op1(e11,e10) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_10_974,refute_10_975]) ).
cnf(refute_10_977,plain,
( e11 = e12
| op1(e11,e10) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_10_902,refute_10_976]) ).
cnf(refute_10_978,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_10_144]) ).
cnf(refute_10_979,plain,
( e12 != op1(e13,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e13,e13))]]) ).
cnf(refute_10_980,plain,
( e12 != op1(e13,e13)
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_10_28,refute_10_979]) ).
cnf(refute_10_981,plain,
( e12 != e11
| op1(e13,e13) != e11
| e12 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_10_982,plain,
( e12 != e11
| e12 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_6,refute_10_981]) ).
cnf(refute_10_983,plain,
( e12 != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_10_982,refute_10_980]) ).
cnf(refute_10_984,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_10_983,refute_10_978]) ).
cnf(refute_10_985,plain,
( e11 != e12
| e12 = e11 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e11)),bind(Y,$fot(e12))]]) ).
cnf(refute_10_986,plain,
e11 != e12,
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_10_985,refute_10_984]) ).
cnf(refute_10_987,plain,
( op1(e11,e10) = e11
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_10_977,refute_10_986]) ).
cnf(refute_10_988,plain,
( op1(e11,e10) != e11
| op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e10),e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),e10) ),[0,1],$fot(e11)]]) ).
cnf(refute_10_989,plain,
( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e10),e11) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_10_987,refute_10_988]) ).
cnf(refute_10_990,plain,
( op1(op1(e11,e10),e11) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),e10) )],[refute_10_826,refute_10_989]) ).
cnf(refute_10_991,plain,
( op1(e11,e10) != e11
| op1(op1(e11,e10),e11) != e10
| op1(e11,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e11),e10) ),[0,0],$fot(e11)]]) ).
cnf(refute_10_992,plain,
( op1(op1(e11,e10),e11) != e10
| op1(e11,e11) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_10_987,refute_10_991]) ).
cnf(refute_10_993,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e11),e10) )],[refute_10_990,refute_10_992]) ).
cnf(refute_10_994,plain,
op1(e11,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_10_145]) ).
cnf(refute_10_995,plain,
( op1(e11,e11) != e10
| op1(e13,e11) != e10
| op1(e11,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_10_996,plain,
( op1(e11,e11) != e10
| op1(e11,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_10_35,refute_10_995]) ).
cnf(refute_10_997,plain,
op1(e11,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,e11)) )],[refute_10_996,refute_10_994]) ).
cnf(refute_10_998,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_10_993,refute_10_997]) ).
cnf(refute_10_999,plain,
( ~ definitionFOFtoCNF_3
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_10_998,refute_10_132]) ).
cnf(refute_10_1000,plain,
op2(op2(e21,e23),op2(e21,e23)) = e23,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_10_801,refute_10_999]) ).
cnf(refute_10_1001,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| h4(e13) = op2(e21,e23)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_10_275,refute_10_304]) ).
cnf(refute_10_1002,plain,
( h4(e13) = op2(e21,e23)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_10_259,refute_10_1001]) ).
cnf(refute_10_1003,plain,
( e23 = op2(e21,e23)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,e23)) )],[refute_10_1002,refute_10_308]) ).
cnf(refute_10_1004,plain,
( op1(e11,e13) = e10
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e23)) )],[refute_10_1003,refute_10_310]) ).
cnf(refute_10_1005,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e23
| op1(e11,e13) = e10
| op2(op2(e21,e23),e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_10_1004,refute_10_525]) ).
cnf(refute_10_1006,plain,
( op1(e11,e13) = e10
| op2(op2(e21,e23),e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) )],[refute_10_1000,refute_10_1005]) ).
cnf(refute_10_1007,plain,
( op2(op2(e21,e23),e23) != e23
| op1(e11,e13) = e10
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_10_1004,refute_10_528]) ).
cnf(refute_10_1008,plain,
( op1(e11,e13) = e10
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),e23) )],[refute_10_1006,refute_10_1007]) ).
cnf(refute_10_1009,plain,
( e21 = e23
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_10_1008,refute_10_300]) ).
cnf(refute_10_1010,plain,
op1(e11,e13) = e10,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_10_1009,refute_10_302]) ).
cnf(refute_10_1011,plain,
op1(e10,op1(e11,e13)) = op1(e10,op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e11,e13)))]]) ).
cnf(refute_10_1012,plain,
( op1(e10,op1(e11,e13)) != op1(e10,op1(e11,e13))
| op1(e11,e13) != e10
| op1(e10,op1(e11,e13)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,op1(e11,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_10_1013,plain,
( op1(e11,e13) != e10
| op1(e10,op1(e11,e13)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,op1(e11,e13))) )],[refute_10_1011,refute_10_1012]) ).
cnf(refute_10_1014,plain,
op1(e10,op1(e11,e13)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_10_1010,refute_10_1013]) ).
cnf(refute_10_1015,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(op1(e11,e13),op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e11,e13),op1(e11,e13)))]]) ).
cnf(refute_10_1016,plain,
( op1(e11,e13) != e10
| op1(op1(e11,e13),op1(e11,e13)) != op1(op1(e11,e13),op1(e11,e13))
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(op1(e11,e13),op1(e11,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_10_1017,plain,
( op1(e11,e13) != e10
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(op1(e11,e13),op1(e11,e13))) )],[refute_10_1015,refute_10_1016]) ).
cnf(refute_10_1018,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(e10,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_10_1010,refute_10_1017]) ).
cnf(refute_10_1019,plain,
( op1(e10,op1(e11,e13)) != op1(e10,e10)
| op1(op1(e11,e13),op1(e11,e13)) != op1(e10,op1(e11,e13))
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op1(op1(e11,e13),op1(e11,e13)))),bind(Y,$fot(op1(e10,op1(e11,e13)))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_10_1020,plain,
( op1(e10,op1(e11,e13)) != op1(e10,e10)
| op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(e10,op1(e11,e13))) )],[refute_10_1018,refute_10_1019]) ).
cnf(refute_10_1021,plain,
op1(op1(e11,e13),op1(e11,e13)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,e10)) )],[refute_10_1014,refute_10_1020]) ).
cnf(refute_10_1022,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(op1(e11,e13),op1(e11,e13)) != op1(e10,e10)
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_10_1023,plain,
( op1(op1(e11,e13),op1(e11,e13)) != e13
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),op1(e10,e10)) )],[refute_10_1021,refute_10_1022]) ).
cnf(refute_10_1024,plain,
op1(e10,e10) = e13,
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),op1(e11,e13)),e13) )],[refute_10_823,refute_10_1023]) ).
cnf(refute_10_1025,plain,
( e13 != e13
| op1(e10,e10) != e13
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(e13)]]) ).
cnf(refute_10_1026,plain,
( e13 != e13
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_10_1024,refute_10_1025]) ).
cnf(refute_10_1027,plain,
( e13 != e13
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_10_1026,refute_10_42]) ).
cnf(refute_10_1028,plain,
op1(e10,e11) = e11,
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_10_364,refute_10_1027]) ).
cnf(refute_10_1029,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_10_146]) ).
cnf(refute_10_1030,plain,
( op1(e12,e11) != e13
| op1(e12,e13) != e13
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_10_1031,plain,
( op1(e12,e11) != e13
| op1(e11,e13) = e13
| op1(e12,e11) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_10_516,refute_10_1030]) ).
cnf(refute_10_1032,plain,
( op1(e12,e11) != e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_10_1031,refute_10_1029]) ).
cnf(refute_10_1033,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_10_147]) ).
cnf(refute_10_1034,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e10)]]) ).
cnf(refute_10_1035,plain,
( op1(e13,e11) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_10_35,refute_10_1034]) ).
cnf(refute_10_1036,plain,
( e10 = e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_10_1033,refute_10_1035]) ).
cnf(refute_10_1037,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_10_1036,refute_10_720]) ).
cnf(refute_10_1038,plain,
( e13 != e13
| op1(e12,e11) != e13
| op1(e12,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_10_1039,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_10_1037,refute_10_1038]) ).
cnf(refute_10_1040,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_10_1039,refute_10_1032]) ).
cnf(refute_10_1041,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_10_364,refute_10_1040]) ).
cnf(refute_10_1042,plain,
( op1(e10,e11) != e11
| op1(e10,e11) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e11)]]) ).
cnf(refute_10_1043,plain,
( op1(e10,e11) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_10_1028,refute_10_1042]) ).
cnf(refute_10_1044,plain,
( e11 = e13
| op1(e11,e11) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_10_1041,refute_10_1043]) ).
cnf(refute_10_1045,plain,
( op1(e11,e13) != e10
| op1(e11,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_10_1046,plain,
( op1(e11,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_10_1010,refute_10_1045]) ).
cnf(refute_10_1047,plain,
( e10 = e13
| e11 = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_10_1044,refute_10_1046]) ).
cnf(refute_10_1048,plain,
( e11 = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_10_1047,refute_10_720]) ).
cnf(refute_10_1049,plain,
op1(e11,e11) = e13,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_10_1048,refute_10_514]) ).
cnf(refute_10_1050,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(canonicalize,[],[normalize_10_148]) ).
cnf(refute_10_1051,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_10_1050,refute_10_450]) ).
cnf(refute_10_1052,plain,
( op1(e10,e10) != e11
| op1(e10,e10) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[0],$fot(e13)]]) ).
cnf(refute_10_1053,plain,
( op1(e10,e10) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_10_1024,refute_10_1052]) ).
cnf(refute_10_1054,plain,
( e13 = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_10_1051,refute_10_1053]) ).
cnf(refute_10_1055,plain,
( op1(e10,e10) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_10_1024,refute_10_717]) ).
cnf(refute_10_1056,plain,
( e13 = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_10_374,refute_10_1055]) ).
cnf(refute_10_1057,plain,
( op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_10_1056,refute_10_722]) ).
cnf(refute_10_1058,plain,
op1(e11,e10) != op1(e11,e13),
inference(canonicalize,[],[normalize_10_149]) ).
cnf(refute_10_1059,plain,
( op1(e11,e10) != e10
| op1(e11,e13) != e10
| op1(e11,e10) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_10_1060,plain,
( op1(e11,e10) != e10
| op1(e11,e10) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_10_1010,refute_10_1059]) ).
cnf(refute_10_1061,plain,
op1(e11,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e13)) )],[refute_10_1060,refute_10_1058]) ).
cnf(refute_10_1062,plain,
op1(e12,e10) = e10,
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_10_1057,refute_10_1061]) ).
cnf(refute_10_1063,plain,
( op1(e12,e10) != e10
| op1(e12,e10) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e11) ),[0],$fot(e10)]]) ).
cnf(refute_10_1064,plain,
( op1(e12,e10) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_10_1062,refute_10_1063]) ).
cnf(refute_10_1065,plain,
( e10 = e11
| e13 = e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_10_1054,refute_10_1064]) ).
cnf(refute_10_1066,plain,
e10 != e11,
inference(canonicalize,[],[normalize_10_150]) ).
cnf(refute_10_1067,plain,
( e13 = e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_10_1065,refute_10_1066]) ).
cnf(refute_10_1068,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_10_1067,refute_10_701]) ).
cnf(refute_10_1069,plain,
op1(e11,op1(e11,e10)) = op1(e11,op1(e11,e10)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e10)))]]) ).
cnf(refute_10_1070,plain,
( op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) != op1(e11,op1(e11,e10))
| op1(e11,op1(e11,e10)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e10)),op1(e11,op1(e11,e10))) ),[1,1],$fot(e11)]]) ).
cnf(refute_10_1071,plain,
( op1(e11,e10) != e11
| op1(e11,op1(e11,e10)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e10)),op1(e11,op1(e11,e10))) )],[refute_10_1069,refute_10_1070]) ).
cnf(refute_10_1072,plain,
op1(e11,op1(e11,e10)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_10_1068,refute_10_1071]) ).
cnf(refute_10_1073,plain,
op1(op1(e11,e10),op1(e11,e10)) = op1(op1(e11,e10),op1(e11,e10)),
introduced(tautology,[refl,[$fot(op1(op1(e11,e10),op1(e11,e10)))]]) ).
cnf(refute_10_1074,plain,
( op1(e11,e10) != e11
| op1(op1(e11,e10),op1(e11,e10)) != op1(op1(e11,e10),op1(e11,e10))
| op1(op1(e11,e10),op1(e11,e10)) = op1(e11,op1(e11,e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),op1(op1(e11,e10),op1(e11,e10))) ),[1,0],$fot(e11)]]) ).
cnf(refute_10_1075,plain,
( op1(e11,e10) != e11
| op1(op1(e11,e10),op1(e11,e10)) = op1(e11,op1(e11,e10)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),op1(op1(e11,e10),op1(e11,e10))) )],[refute_10_1073,refute_10_1074]) ).
cnf(refute_10_1076,plain,
op1(op1(e11,e10),op1(e11,e10)) = op1(e11,op1(e11,e10)),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_10_1068,refute_10_1075]) ).
cnf(refute_10_1077,plain,
( op1(e11,op1(e11,e10)) != op1(e11,e11)
| op1(op1(e11,e10),op1(e11,e10)) != op1(e11,op1(e11,e10))
| op1(op1(e11,e10),op1(e11,e10)) = op1(e11,e11) ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op1(op1(e11,e10),op1(e11,e10)))),bind(Y,$fot(op1(e11,op1(e11,e10)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_10_1078,plain,
( op1(e11,op1(e11,e10)) != op1(e11,e11)
| op1(op1(e11,e10),op1(e11,e10)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),op1(e11,op1(e11,e10))) )],[refute_10_1076,refute_10_1077]) ).
cnf(refute_10_1079,plain,
op1(op1(e11,e10),op1(e11,e10)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e10)),op1(e11,e11)) )],[refute_10_1072,refute_10_1078]) ).
cnf(refute_10_1080,plain,
( op1(e11,e11) != e13
| op1(op1(e11,e10),op1(e11,e10)) != op1(e11,e11)
| op1(op1(e11,e10),op1(e11,e10)) = e13 ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op1(op1(e11,e10),op1(e11,e10)))),bind(Y,$fot(op1(e11,e11))),bind(Z,$fot(e13))]]) ).
cnf(refute_10_1081,plain,
( op1(e11,e11) != e13
| op1(op1(e11,e10),op1(e11,e10)) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),op1(e11,e11)) )],[refute_10_1079,refute_10_1080]) ).
cnf(refute_10_1082,plain,
op1(op1(e11,e10),op1(e11,e10)) = e13,
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_10_1049,refute_10_1081]) ).
cnf(refute_10_1083,plain,
( op1(op1(e11,e10),op1(e11,e10)) != e10
| op1(op1(e11,e10),op1(e11,e10)) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),e10) ),[0],$fot(e13)]]) ).
cnf(refute_10_1084,plain,
( op1(op1(e11,e10),op1(e11,e10)) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),e13) )],[refute_10_1082,refute_10_1083]) ).
cnf(refute_10_1085,plain,
e13 = e10,
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),op1(e11,e10)),e10) )],[refute_10_826,refute_10_1084]) ).
cnf(refute_10_1086,plain,
op1(e13,e11) = op1(e13,e11),
introduced(tautology,[refl,[$fot(op1(e13,e11))]]) ).
cnf(refute_10_1087,plain,
( e13 != e10
| op1(e13,e11) != op1(e13,e11)
| op1(e13,e11) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),op1(e13,e11)) ),[1,0],$fot(e10)]]) ).
cnf(refute_10_1088,plain,
( e13 != e10
| op1(e13,e11) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e11)) )],[refute_10_1086,refute_10_1087]) ).
cnf(refute_10_1089,plain,
op1(e13,e11) = op1(e10,e11),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_10_1085,refute_10_1088]) ).
cnf(refute_10_1090,plain,
( op1(e10,e11) != e11
| op1(e13,e11) != op1(e10,e11)
| op1(e13,e11) = e11 ),
inference(subst,[],[refute_10_63:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(op1(e10,e11))),bind(Z,$fot(e11))]]) ).
cnf(refute_10_1091,plain,
( op1(e10,e11) != e11
| op1(e13,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e11)) )],[refute_10_1089,refute_10_1090]) ).
cnf(refute_10_1092,plain,
op1(e13,e11) = e11,
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_10_1028,refute_10_1091]) ).
cnf(refute_10_1093,plain,
( e10 != op1(e13,e11)
| op1(e13,e11) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,e11) ),[0],$fot(op1(e13,e11))]]) ).
cnf(refute_10_1094,plain,
( e10 != op1(e13,e11)
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_10_1092,refute_10_1093]) ).
cnf(refute_10_1095,plain,
e10 = e11,
inference(resolve,[$cnf( $equal(e10,op1(e13,e11)) )],[refute_10_13,refute_10_1094]) ).
cnf(refute_10_1096,plain,
$false,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_10_1095,refute_10_1066]) ).
fof(negate_11_0,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 )
& ( 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)) ),
inference(negate,[],[subgoal_11]) ).
fof(normalize_11_0,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
& 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))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_11_0]) ).
fof(normalize_11_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_11_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_11_1]) ).
fof(normalize_11_3,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_11_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_11_3]) ).
fof(normalize_11_5,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_11_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_11_5]) ).
fof(normalize_11_7,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
& 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))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_11_0,normalize_11_2,normalize_11_4,normalize_11_6]) ).
fof(normalize_11_8,plain,
h4(op1(e12,e13)) != op2(h4(e12),h4(e13)),
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_9,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_11_10,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_11,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_12,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_11_13,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_11_12]) ).
fof(normalize_11_14,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_11_12]) ).
fof(normalize_11_15,plain,
( ( 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(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_11_16,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_11_15]) ).
fof(normalize_11_17,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_11_18,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(conjunct,[],[normalize_11_17]) ).
fof(normalize_11_19,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_11_17]) ).
fof(normalize_11_20,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_11_17]) ).
fof(normalize_11_21,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_11_22,plain,
e11 != e13,
inference(conjunct,[],[normalize_11_21]) ).
fof(normalize_11_23,plain,
e12 != e13,
inference(conjunct,[],[normalize_11_21]) ).
fof(normalize_11_24,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_25,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_26,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_11_12]) ).
fof(normalize_11_27,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_11_28,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_11_27]) ).
fof(normalize_11_29,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,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) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_11_30,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_11_29]) ).
fof(normalize_11_31,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_11_29]) ).
fof(normalize_11_32,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_11_15]) ).
fof(normalize_11_33,plain,
e10 != e11,
inference(conjunct,[],[normalize_11_21]) ).
fof(normalize_11_34,plain,
e10 != e12,
inference(conjunct,[],[normalize_11_21]) ).
fof(normalize_11_35,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_36,plain,
( ( 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(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_11_37,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_11_36]) ).
fof(normalize_11_38,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_11_39,plain,
e20 != e21,
inference(conjunct,[],[normalize_11_38]) ).
fof(normalize_11_40,plain,
e20 != e22,
inference(conjunct,[],[normalize_11_38]) ).
fof(normalize_11_41,plain,
e20 != e23,
inference(conjunct,[],[normalize_11_38]) ).
fof(normalize_11_42,plain,
e10 != e13,
inference(conjunct,[],[normalize_11_21]) ).
fof(normalize_11_43,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_11_36]) ).
fof(normalize_11_44,plain,
e21 != e23,
inference(conjunct,[],[normalize_11_38]) ).
fof(normalize_11_45,plain,
e22 != e23,
inference(conjunct,[],[normalize_11_38]) ).
cnf(refute_11_0,plain,
h4(op1(e12,e13)) != op2(h4(e12),h4(e13)),
inference(canonicalize,[],[normalize_11_8]) ).
cnf(refute_11_1,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_11_10]) ).
cnf(refute_11_2,plain,
op2(e22,h4(e13)) = op2(e22,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e13)))]]) ).
cnf(refute_11_3,plain,
( h4(e13) != e23
| op2(e22,h4(e13)) != op2(e22,h4(e13))
| op2(e22,h4(e13)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_11_4,plain,
( h4(e13) != e23
| op2(e22,h4(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) )],[refute_11_2,refute_11_3]) ).
cnf(refute_11_5,plain,
op2(e22,h4(e13)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_1,refute_11_4]) ).
cnf(refute_11_6,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_11_11]) ).
cnf(refute_11_7,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_11_13]) ).
cnf(refute_11_8,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_11_14]) ).
cnf(refute_11_9,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_11_10,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_11_11,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_11_9,refute_11_10]) ).
cnf(refute_11_12,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_11_13,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_11_8,refute_11_12]) ).
cnf(refute_11_14,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_11_15,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_11_16,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_11_14,refute_11_15]) ).
cnf(refute_11_17,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_11_13,refute_11_16]) ).
cnf(refute_11_18,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_11_19,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_11_17,refute_11_18]) ).
cnf(refute_11_20,plain,
e22 = op2(e20,e23),
inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),e23)) )],[refute_11_7,refute_11_19]) ).
cnf(refute_11_21,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_11_22,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_11_20,refute_11_21]) ).
cnf(refute_11_23,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_11_24,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_11_11,refute_11_23]) ).
cnf(refute_11_25,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(subst,[],[refute_11_24:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_11_26,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_11_17,refute_11_25]) ).
cnf(refute_11_27,plain,
op2(op2(e23,op2(e23,e23)),e23) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_11_22,refute_11_26]) ).
cnf(refute_11_28,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_11_29,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),e22) )],[refute_11_27,refute_11_28]) ).
cnf(refute_11_30,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_11_6,refute_11_29]) ).
cnf(refute_11_31,plain,
op2(h4(e12),h4(e13)) = op2(h4(e12),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_11_32,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) = op2(e22,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_11_33,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e13)) = op2(e22,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) )],[refute_11_31,refute_11_32]) ).
cnf(refute_11_34,plain,
op2(h4(e12),h4(e13)) = op2(e22,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_11_30,refute_11_33]) ).
cnf(refute_11_35,plain,
( op2(e22,h4(e13)) != op2(e22,e23)
| op2(h4(e12),h4(e13)) != op2(e22,h4(e13))
| op2(h4(e12),h4(e13)) = op2(e22,e23) ),
inference(subst,[],[refute_11_24:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e22,h4(e13)))),bind(Z,$fot(op2(e22,e23)))]]) ).
cnf(refute_11_36,plain,
( op2(e22,h4(e13)) != op2(e22,e23)
| op2(h4(e12),h4(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e22,h4(e13))) )],[refute_11_34,refute_11_35]) ).
cnf(refute_11_37,plain,
op2(h4(e12),h4(e13)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,e23)) )],[refute_11_5,refute_11_36]) ).
cnf(refute_11_38,plain,
( h4(op1(e12,e13)) != op2(e22,e23)
| op2(h4(e12),h4(e13)) != op2(e22,e23)
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_11_39,plain,
( h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e22,e23)) )],[refute_11_37,refute_11_38]) ).
cnf(refute_11_40,plain,
h4(op1(e12,e13)) != op2(e22,e23),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) )],[refute_11_39,refute_11_0]) ).
cnf(refute_11_41,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_11_16]) ).
cnf(refute_11_42,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(canonicalize,[],[normalize_11_18]) ).
cnf(refute_11_43,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_11_19]) ).
cnf(refute_11_44,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = e10 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).
cnf(refute_11_45,plain,
op1(e13,op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_11_43,refute_11_44]) ).
cnf(refute_11_46,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(op1(e13,op1(e13,e13)),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_11_47,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_11_48,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) )],[refute_11_46,refute_11_47]) ).
cnf(refute_11_49,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_11_45,refute_11_48]) ).
cnf(refute_11_50,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) != op1(e10,e13)
| e12 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e13)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_11_51,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| e12 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(e10,e13)) )],[refute_11_49,refute_11_50]) ).
cnf(refute_11_52,plain,
e12 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),e13)) )],[refute_11_42,refute_11_51]) ).
cnf(refute_11_53,plain,
( e12 != op1(e10,e13)
| op1(e10,e13) = e12 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_11_54,plain,
op1(e10,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_11_52,refute_11_53]) ).
cnf(refute_11_55,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e12)]]) ).
cnf(refute_11_56,plain,
( op1(e10,e13) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_11_54,refute_11_55]) ).
cnf(refute_11_57,plain,
( e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_11_41,refute_11_56]) ).
cnf(refute_11_58,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_11_20]) ).
cnf(refute_11_59,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_11_60,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_11_58,refute_11_59]) ).
cnf(refute_11_61,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_11_62,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_60,refute_11_61]) ).
cnf(refute_11_63,plain,
( e11 = e13
| e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_11_57,refute_11_62]) ).
cnf(refute_11_64,plain,
e11 != e13,
inference(canonicalize,[],[normalize_11_22]) ).
cnf(refute_11_65,plain,
( e12 = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_11_63,refute_11_64]) ).
cnf(refute_11_66,plain,
e12 != e13,
inference(canonicalize,[],[normalize_11_23]) ).
cnf(refute_11_67,plain,
( op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_11_65,refute_11_66]) ).
cnf(refute_11_68,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(canonicalize,[],[normalize_11_24]) ).
cnf(refute_11_69,plain,
op2(e21,h4(e13)) = op2(e21,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_11_70,plain,
( h4(e13) != e23
| op2(e21,h4(e13)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_11_71,plain,
( h4(e13) != e23
| op2(e21,h4(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_11_69,refute_11_70]) ).
cnf(refute_11_72,plain,
op2(e21,h4(e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_1,refute_11_71]) ).
cnf(refute_11_73,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_11_25]) ).
cnf(refute_11_74,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_11_26]) ).
cnf(refute_11_75,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_11_76,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_11_74,refute_11_75]) ).
cnf(refute_11_77,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_11_78,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_76,refute_11_77]) ).
cnf(refute_11_79,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_11_73,refute_11_78]) ).
cnf(refute_11_80,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_11_81,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_11_82,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) )],[refute_11_80,refute_11_81]) ).
cnf(refute_11_83,plain,
op2(h4(e11),h4(e13)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_11_79,refute_11_82]) ).
cnf(refute_11_84,plain,
( op2(e21,h4(e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) != op2(e21,h4(e13))
| op2(h4(e11),h4(e13)) = op2(e21,e23) ),
inference(subst,[],[refute_11_24:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(e21,h4(e13)))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_11_85,plain,
( op2(e21,h4(e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,h4(e13))) )],[refute_11_83,refute_11_84]) ).
cnf(refute_11_86,plain,
op2(h4(e11),h4(e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e23)) )],[refute_11_72,refute_11_85]) ).
cnf(refute_11_87,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) != op2(e21,e23)
| h4(op1(e11,e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0],$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_11_88,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,e23)) )],[refute_11_86,refute_11_87]) ).
cnf(refute_11_89,plain,
h4(op1(e11,e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_11_68,refute_11_88]) ).
cnf(refute_11_90,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_11_28]) ).
cnf(refute_11_91,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_11_30]) ).
cnf(refute_11_92,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_11_93,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_60,refute_11_92]) ).
cnf(refute_11_94,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_11_93,refute_11_91]) ).
cnf(refute_11_95,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_11_90,refute_11_94]) ).
cnf(refute_11_96,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_11_31]) ).
cnf(refute_11_97,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_11_98,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_11_54,refute_11_97]) ).
cnf(refute_11_99,plain,
e12 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_11_98,refute_11_96]) ).
cnf(refute_11_100,plain,
( op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
inference(subst,[],[refute_11_11:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_11_101,plain,
op1(e11,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_11_100,refute_11_99]) ).
cnf(refute_11_102,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_11_95,refute_11_101]) ).
cnf(refute_11_103,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| op1(e11,e13) != e13
| h4(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0,0],$fot(e13)]]) ).
cnf(refute_11_104,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| h4(e13) = op2(e21,e23)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_11_102,refute_11_103]) ).
cnf(refute_11_105,plain,
( h4(e13) = op2(e21,e23)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_11_89,refute_11_104]) ).
cnf(refute_11_106,plain,
( h4(e13) != e23
| h4(e13) != op2(e21,e23)
| e23 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e21,e23)) ),[0],$fot(e23)]]) ).
cnf(refute_11_107,plain,
( h4(e13) != op2(e21,e23)
| e23 = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_1,refute_11_106]) ).
cnf(refute_11_108,plain,
( e23 = op2(e21,e23)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,e23)) )],[refute_11_105,refute_11_107]) ).
cnf(refute_11_109,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_11_32]) ).
cnf(refute_11_110,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_11_111,plain,
( op1(e10,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_11_54,refute_11_110]) ).
cnf(refute_11_112,plain,
( e12 = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_11_109,refute_11_111]) ).
cnf(refute_11_113,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).
cnf(refute_11_114,plain,
( op1(e13,e13) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_60,refute_11_113]) ).
cnf(refute_11_115,plain,
( e11 = e10
| e12 = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_11_112,refute_11_114]) ).
cnf(refute_11_116,plain,
e10 != e11,
inference(canonicalize,[],[normalize_11_33]) ).
cnf(refute_11_117,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_11_118,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_11_117,refute_11_116]) ).
cnf(refute_11_119,plain,
( e12 = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_11_115,refute_11_118]) ).
cnf(refute_11_120,plain,
e10 != e12,
inference(canonicalize,[],[normalize_11_34]) ).
cnf(refute_11_121,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_11_122,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_11_121,refute_11_120]) ).
cnf(refute_11_123,plain,
( op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_11_119,refute_11_122]) ).
cnf(refute_11_124,plain,
( h4(e10) != op2(e22,e23)
| op1(e12,e13) != e10
| h4(op1(e12,e13)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(e22,e23)) ),[0,0],$fot(e10)]]) ).
cnf(refute_11_125,plain,
( h4(e10) != op2(e22,e23)
| h4(op1(e12,e13)) = op2(e22,e23)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_11_123,refute_11_124]) ).
cnf(refute_11_126,plain,
( h4(e10) != op2(e22,e23)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e22,e23)) )],[refute_11_125,refute_11_40]) ).
cnf(refute_11_127,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_11_35]) ).
cnf(refute_11_128,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_11_129,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_11_13,refute_11_128]) ).
cnf(refute_11_130,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_11_127,refute_11_129]) ).
cnf(refute_11_131,plain,
( e20 != op2(e22,e23)
| h4(e10) != e20
| h4(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_11_132,plain,
( e20 != op2(e22,e23)
| h4(e10) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_11_130,refute_11_131]) ).
cnf(refute_11_133,plain,
( e20 != op2(e22,e23)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e22,e23)) )],[refute_11_132,refute_11_126]) ).
cnf(refute_11_134,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_11_37]) ).
cnf(refute_11_135,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_11_136,plain,
( op2(e20,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_11_22,refute_11_135]) ).
cnf(refute_11_137,plain,
( e22 = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_11_134,refute_11_136]) ).
cnf(refute_11_138,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e21)]]) ).
cnf(refute_11_139,plain,
( op2(e23,e23) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_76,refute_11_138]) ).
cnf(refute_11_140,plain,
( e21 = e20
| e22 = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_11_137,refute_11_139]) ).
cnf(refute_11_141,plain,
e20 != e21,
inference(canonicalize,[],[normalize_11_39]) ).
cnf(refute_11_142,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_11_143,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_11_142,refute_11_141]) ).
cnf(refute_11_144,plain,
( e22 = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_11_140,refute_11_143]) ).
cnf(refute_11_145,plain,
e20 != e22,
inference(canonicalize,[],[normalize_11_40]) ).
cnf(refute_11_146,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_11_147,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_11_146,refute_11_145]) ).
cnf(refute_11_148,plain,
( op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_11_144,refute_11_147]) ).
cnf(refute_11_149,plain,
( e20 != e20
| op2(e22,e23) != e20
| e20 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_11_150,plain,
( e20 != e20
| e20 = op2(e22,e23)
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_11_148,refute_11_149]) ).
cnf(refute_11_151,plain,
( e20 != e20
| op1(e11,e13) = e10
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e23)) )],[refute_11_150,refute_11_133]) ).
cnf(refute_11_152,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_11_153,plain,
( op1(e11,e13) = e10
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_11_152,refute_11_151]) ).
cnf(refute_11_154,plain,
( e23 != op2(e21,e23)
| op2(e21,e23) != e20
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e20) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_11_155,plain,
( e23 != op2(e21,e23)
| e23 = e20
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_11_153,refute_11_154]) ).
cnf(refute_11_156,plain,
( e23 = e20
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e23)) )],[refute_11_108,refute_11_155]) ).
cnf(refute_11_157,plain,
e20 != e23,
inference(canonicalize,[],[normalize_11_41]) ).
cnf(refute_11_158,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_11_159,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_11_158,refute_11_157]) ).
cnf(refute_11_160,plain,
op1(e11,e13) = e10,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_11_156,refute_11_159]) ).
cnf(refute_11_161,plain,
( op1(e11,e13) != e10
| op1(e11,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_11_162,plain,
( op1(e11,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_11_160,refute_11_161]) ).
cnf(refute_11_163,plain,
( e10 = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_11_67,refute_11_162]) ).
cnf(refute_11_164,plain,
e10 != e13,
inference(canonicalize,[],[normalize_11_42]) ).
cnf(refute_11_165,plain,
op1(e12,e13) = e13,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_11_163,refute_11_164]) ).
cnf(refute_11_166,plain,
h4(op1(e12,e13)) = h4(op1(e12,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e13)))]]) ).
cnf(refute_11_167,plain,
( h4(op1(e12,e13)) != h4(op1(e12,e13))
| op1(e12,e13) != e13
| h4(op1(e12,e13)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) ),[1,0],$fot(e13)]]) ).
cnf(refute_11_168,plain,
( op1(e12,e13) != e13
| h4(op1(e12,e13)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) )],[refute_11_166,refute_11_167]) ).
cnf(refute_11_169,plain,
h4(op1(e12,e13)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_11_165,refute_11_168]) ).
cnf(refute_11_170,plain,
( h4(e13) != e23
| h4(op1(e12,e13)) != h4(e13)
| h4(op1(e12,e13)) = e23 ),
inference(subst,[],[refute_11_24:[bind(X,$fot(h4(op1(e12,e13)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_11_171,plain,
( h4(e13) != e23
| h4(op1(e12,e13)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(e13)) )],[refute_11_169,refute_11_170]) ).
cnf(refute_11_172,plain,
h4(op1(e12,e13)) = e23,
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_1,refute_11_171]) ).
cnf(refute_11_173,plain,
( e23 != op2(e22,e23)
| h4(op1(e12,e13)) != e23
| h4(op1(e12,e13)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_11_174,plain,
( e23 != op2(e22,e23)
| h4(op1(e12,e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),e23) )],[refute_11_172,refute_11_173]) ).
cnf(refute_11_175,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_11_43]) ).
cnf(refute_11_176,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e22)]]) ).
cnf(refute_11_177,plain,
( op2(e20,e23) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_11_22,refute_11_176]) ).
cnf(refute_11_178,plain,
( e22 = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_11_175,refute_11_177]) ).
cnf(refute_11_179,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e21)]]) ).
cnf(refute_11_180,plain,
( op2(e23,e23) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_76,refute_11_179]) ).
cnf(refute_11_181,plain,
( e21 = e23
| e22 = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_11_178,refute_11_180]) ).
cnf(refute_11_182,plain,
e21 != e23,
inference(canonicalize,[],[normalize_11_44]) ).
cnf(refute_11_183,plain,
( e22 = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_11_181,refute_11_182]) ).
cnf(refute_11_184,plain,
e22 != e23,
inference(canonicalize,[],[normalize_11_45]) ).
cnf(refute_11_185,plain,
( op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_11_183,refute_11_184]) ).
cnf(refute_11_186,plain,
h4(op1(e11,e13)) = h4(op1(e11,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e13)))]]) ).
cnf(refute_11_187,plain,
( h4(op1(e11,e13)) != h4(op1(e11,e13))
| op1(e11,e13) != e10
| h4(op1(e11,e13)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_11_188,plain,
( op1(e11,e13) != e10
| h4(op1(e11,e13)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) )],[refute_11_186,refute_11_187]) ).
cnf(refute_11_189,plain,
h4(op1(e11,e13)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_11_160,refute_11_188]) ).
cnf(refute_11_190,plain,
( h4(e10) != e20
| h4(op1(e11,e13)) != h4(e10)
| h4(op1(e11,e13)) = e20 ),
inference(subst,[],[refute_11_24:[bind(X,$fot(h4(op1(e11,e13)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_11_191,plain,
( h4(e10) != e20
| h4(op1(e11,e13)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(e10)) )],[refute_11_189,refute_11_190]) ).
cnf(refute_11_192,plain,
h4(op1(e11,e13)) = e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_11_130,refute_11_191]) ).
cnf(refute_11_193,plain,
( h4(op1(e11,e13)) != e20
| h4(op1(e11,e13)) != op2(e21,e23)
| e20 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0],$fot(e20)]]) ).
cnf(refute_11_194,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),e20) )],[refute_11_192,refute_11_193]) ).
cnf(refute_11_195,plain,
e20 = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_11_89,refute_11_194]) ).
cnf(refute_11_196,plain,
( e20 != op2(e21,e23)
| op2(e21,e23) = e20 ),
inference(subst,[],[refute_11_11:[bind(X,$fot(e20)),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_11_197,plain,
op2(e21,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e23)) )],[refute_11_195,refute_11_196]) ).
cnf(refute_11_198,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_11_199,plain,
( op2(e21,e23) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_11_197,refute_11_198]) ).
cnf(refute_11_200,plain,
( e20 = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_11_185,refute_11_199]) ).
cnf(refute_11_201,plain,
op2(e22,e23) = e23,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_11_200,refute_11_157]) ).
cnf(refute_11_202,plain,
( e23 != e23
| op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_11_203,plain,
( e23 != e23
| e23 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_11_201,refute_11_202]) ).
cnf(refute_11_204,plain,
( e23 != e23
| h4(op1(e12,e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_11_203,refute_11_174]) ).
cnf(refute_11_205,plain,
e23 != e23,
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e22,e23)) )],[refute_11_204,refute_11_40]) ).
cnf(refute_11_206,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_11_207,plain,
$false,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_206,refute_11_205]) ).
fof(negate_12_0,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 )
& ( 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)) ),
inference(negate,[],[subgoal_12]) ).
fof(normalize_12_0,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_12_1,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_2,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_12_3,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_12_2]) ).
fof(normalize_12_4,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_12_5,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_12_6,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23 ) ) ),
inference(simplify,[],[normalize_12_4,normalize_12_5]) ).
fof(normalize_12_7,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e22),op2(e21,e22)) = e22 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 )
& ( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e22),op2(e21,e22)) != e22
| op2(op2(e21,e23),op2(e21,e23)) != e23
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_12_6]) ).
fof(normalize_12_8,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 ),
inference(conjunct,[],[normalize_12_7]) ).
fof(normalize_12_9,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,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) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_12_10,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_11,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_12_12,plain,
h3(e11) = op2(e22,e22),
inference(conjunct,[],[normalize_12_11]) ).
fof(normalize_12_13,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e21),op2(e20,e21)) = e21
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 )
& ( op2(op2(e20,e20),op2(e20,e20)) != e20
| op2(op2(e20,e21),op2(e20,e21)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e23),op2(e20,e23)) != e23
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_12_5]) ).
fof(normalize_12_14,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_15,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_16,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_17,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_12_18,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_12_17]) ).
fof(normalize_12_19,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_20,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_21,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,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) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_12_22,plain,
op1(e12,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_12_21]) ).
fof(normalize_12_23,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
& 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))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_12_0]) ).
fof(normalize_12_24,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_12_25,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_12_24]) ).
fof(normalize_12_26,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_12_2]) ).
fof(normalize_12_27,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_12_11]) ).
fof(normalize_12_28,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
& 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))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_12_23,normalize_12_25,normalize_12_26,normalize_12_27]) ).
fof(normalize_12_29,plain,
h4(op1(e13,e10)) != op2(h4(e13),h4(e10)),
inference(conjunct,[],[normalize_12_28]) ).
fof(normalize_12_30,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_12_31,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_12_30]) ).
fof(normalize_12_32,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_12_30]) ).
fof(normalize_12_33,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_12_34,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_12_33]) ).
fof(normalize_12_35,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_12_21]) ).
fof(normalize_12_36,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_12_37,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_12_36]) ).
fof(normalize_12_38,plain,
op1(e13,e10) != op1(e13,e11),
inference(conjunct,[],[normalize_12_21]) ).
fof(normalize_12_39,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_12_36]) ).
fof(normalize_12_40,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_41,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_12_17]) ).
fof(normalize_12_42,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_43,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_44,plain,
op2(e21,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_45,plain,
h4(op1(e12,e11)) = op2(h4(e12),h4(e11)),
inference(conjunct,[],[normalize_12_28]) ).
fof(normalize_12_46,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_12_30]) ).
fof(normalize_12_47,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_12_30]) ).
fof(normalize_12_48,plain,
h4(op1(e12,e12)) = op2(h4(e12),h4(e12)),
inference(conjunct,[],[normalize_12_28]) ).
fof(normalize_12_49,plain,
( ( 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(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_12_50,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(conjunct,[],[normalize_12_49]) ).
fof(normalize_12_51,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_12_21]) ).
fof(normalize_12_52,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(conjunct,[],[normalize_12_36]) ).
fof(normalize_12_53,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_54,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_12_11]) ).
fof(normalize_12_55,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_12_11]) ).
fof(normalize_12_56,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_57,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_12_17]) ).
fof(normalize_12_58,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_59,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_60,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_61,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_12_24]) ).
fof(normalize_12_62,plain,
( ( 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(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_12_63,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_12_62]) ).
fof(normalize_12_64,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_12_65,plain,
e20 != e22,
inference(conjunct,[],[normalize_12_64]) ).
fof(normalize_12_66,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_67,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_68,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_69,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_12_17]) ).
fof(normalize_12_70,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_71,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_72,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(conjunct,[],[normalize_12_17]) ).
fof(normalize_12_73,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_74,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23 ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_12_75,plain,
( ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e21),op2(e22,e21)) = e21 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e22),op2(e22,e22)) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 )
& ( op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(op2(e22,e21),op2(e22,e21)) != e21
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e22,e23),op2(e22,e23)) != e23
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_12_74]) ).
fof(normalize_12_76,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference(conjunct,[],[normalize_12_75]) ).
fof(normalize_12_77,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_78,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_12_79,plain,
( definitionFOFtoCNF_3
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_12_78,normalize_12_6,normalize_12_5]) ).
fof(normalize_12_80,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(simplify,[],[normalize_12_79,normalize_12_74]) ).
fof(normalize_12_81,plain,
( ( op2(op2(e23,e20),op2(e23,e20)) = e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e22),op2(e23,e22)) = e22
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_12_80]) ).
fof(normalize_12_82,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_12_81]) ).
fof(normalize_12_83,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_12_81]) ).
fof(normalize_12_84,plain,
h4(op1(e12,e13)) = op2(h4(e12),h4(e13)),
inference(conjunct,[],[normalize_12_28]) ).
fof(normalize_12_85,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_12_33]) ).
fof(normalize_12_86,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_12_21]) ).
fof(normalize_12_87,plain,
e21 != e23,
inference(conjunct,[],[normalize_12_64]) ).
fof(normalize_12_88,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_89,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_90,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(conjunct,[],[normalize_12_62]) ).
fof(normalize_12_91,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_92,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_12_28]) ).
fof(normalize_12_93,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_94,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_12_33]) ).
fof(normalize_12_95,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_12_21]) ).
fof(normalize_12_96,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_97,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 ),
inference(conjunct,[],[normalize_12_75]) ).
fof(normalize_12_98,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_99,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_12_62]) ).
fof(normalize_12_100,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(conjunct,[],[normalize_12_62]) ).
fof(normalize_12_101,plain,
e20 != e21,
inference(conjunct,[],[normalize_12_64]) ).
fof(normalize_12_102,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(conjunct,[],[normalize_12_7]) ).
fof(normalize_12_103,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(conjunct,[],[normalize_12_28]) ).
fof(normalize_12_104,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_12_49]) ).
fof(normalize_12_105,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_12_106,plain,
e10 != e11,
inference(conjunct,[],[normalize_12_105]) ).
fof(normalize_12_107,plain,
e10 != e12,
inference(conjunct,[],[normalize_12_105]) ).
fof(normalize_12_108,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_12_62]) ).
fof(normalize_12_109,plain,
e22 != e23,
inference(conjunct,[],[normalize_12_64]) ).
fof(normalize_12_110,plain,
e20 != e23,
inference(conjunct,[],[normalize_12_64]) ).
fof(normalize_12_111,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(conjunct,[],[normalize_12_62]) ).
fof(normalize_12_112,plain,
h1(e12) = op2(op2(e20,op2(e20,e20)),e20),
inference(conjunct,[],[normalize_12_24]) ).
fof(normalize_12_113,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_12_24]) ).
fof(normalize_12_114,plain,
op2(e21,e20) != op2(e21,e23),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_115,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 ),
inference(conjunct,[],[normalize_12_7]) ).
cnf(refute_12_0,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_12_1]) ).
cnf(refute_12_1,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_12_3]) ).
cnf(refute_12_2,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e20),op2(e21,e20)) = e20 ),
inference(canonicalize,[],[normalize_12_8]) ).
cnf(refute_12_3,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_12_10]) ).
cnf(refute_12_4,plain,
h3(e11) = op2(e22,e22),
inference(canonicalize,[],[normalize_12_12]) ).
cnf(refute_12_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_12_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_12_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_12_5,refute_12_6]) ).
cnf(refute_12_8,plain,
( h3(e11) != op2(e22,e22)
| op2(e22,e22) = h3(e11) ),
inference(subst,[],[refute_12_7:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_12_9,plain,
op2(e22,e22) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_12_4,refute_12_8]) ).
cnf(refute_12_10,plain,
( h3(e11) != op2(e23,e22)
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_12_11,plain,
( h3(e11) != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_12_9,refute_12_10]) ).
cnf(refute_12_12,plain,
h3(e11) != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_12_11,refute_12_3]) ).
cnf(refute_12_13,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_12_14]) ).
cnf(refute_12_14,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_12_15]) ).
cnf(refute_12_15,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_12_16]) ).
cnf(refute_12_16,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_12_17,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_12_15,refute_12_16]) ).
cnf(refute_12_18,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_12_19,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_12_20,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_12_18,refute_12_19]) ).
cnf(refute_12_21,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_12_17,refute_12_20]) ).
cnf(refute_12_22,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_12_23,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_12_21,refute_12_22]) ).
cnf(refute_12_24,plain,
e22 = op2(e20,e23),
inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),e23)) )],[refute_12_14,refute_12_23]) ).
cnf(refute_12_25,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_12_26,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_12_24,refute_12_25]) ).
cnf(refute_12_27,plain,
op2(e22,op2(e20,e23)) = op2(e22,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e20,e23)))]]) ).
cnf(refute_12_28,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_12_29,plain,
( op2(e20,e23) != e22
| op2(e22,op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_12_27,refute_12_28]) ).
cnf(refute_12_30,plain,
op2(e22,op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_12_26,refute_12_29]) ).
cnf(refute_12_31,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(op2(e20,e23),op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),op2(e20,e23)))]]) ).
cnf(refute_12_32,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) != op2(op2(e20,e23),op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) ),[1,0],$fot(e22)]]) ).
cnf(refute_12_33,plain,
( op2(e20,e23) != e22
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(op2(e20,e23),op2(e20,e23))) )],[refute_12_31,refute_12_32]) ).
cnf(refute_12_34,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,op2(e20,e23)),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_12_26,refute_12_33]) ).
cnf(refute_12_35,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_12_36,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_12_7,refute_12_35]) ).
cnf(refute_12_37,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,op2(e20,e23))
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,op2(e20,e23)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_12_38,plain,
( op2(e22,op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,op2(e20,e23))) )],[refute_12_34,refute_12_37]) ).
cnf(refute_12_39,plain,
op2(op2(e20,e23),op2(e20,e23)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e23)),op2(e22,e22)) )],[refute_12_30,refute_12_38]) ).
cnf(refute_12_40,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) != op2(e22,e22)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(op2(e20,e23),op2(e20,e23)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_12_41,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e20,e23),op2(e20,e23)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),op2(e22,e22)) )],[refute_12_39,refute_12_40]) ).
cnf(refute_12_42,plain,
op2(op2(e20,e23),op2(e20,e23)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_12_9,refute_12_41]) ).
cnf(refute_12_43,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| op2(op2(e20,e23),op2(e20,e23)) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_12_44,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),h3(e11)) )],[refute_12_42,refute_12_43]) ).
cnf(refute_12_45,plain,
( h3(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),op2(e20,e23)),e23) )],[refute_12_13,refute_12_44]) ).
cnf(refute_12_46,plain,
( e23 != op2(e23,e22)
| h3(e11) != e23
| h3(e11) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_12_47,plain,
( e23 != op2(e23,e22)
| h3(e11) = op2(e23,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_12_45,refute_12_46]) ).
cnf(refute_12_48,plain,
( e23 != op2(e23,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,e22)) )],[refute_12_47,refute_12_12]) ).
cnf(refute_12_49,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_12_18]) ).
cnf(refute_12_50,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_12_19]) ).
cnf(refute_12_51,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_12_52,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_12_0,refute_12_51]) ).
cnf(refute_12_53,plain,
( op2(e23,e22) != e21
| op2(e23,e23) != e21
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_12_54,plain,
( op2(e23,e22) != e21
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_52,refute_12_53]) ).
cnf(refute_12_55,plain,
op2(e23,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_12_54,refute_12_50]) ).
cnf(refute_12_56,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_12_49,refute_12_55]) ).
cnf(refute_12_57,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_12_20]) ).
cnf(refute_12_58,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_12_59,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_12_60,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_12_58,refute_12_59]) ).
cnf(refute_12_61,plain,
op2(e23,op2(e23,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_52,refute_12_60]) ).
cnf(refute_12_62,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e21)
| e20 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_12_63,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e21)) )],[refute_12_61,refute_12_62]) ).
cnf(refute_12_64,plain,
e20 = op2(e23,e21),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_12_15,refute_12_63]) ).
cnf(refute_12_65,plain,
( e20 != op2(e23,e21)
| op2(e23,e21) = e20 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_12_66,plain,
op2(e23,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_12_64,refute_12_65]) ).
cnf(refute_12_67,plain,
( e20 != op2(e23,e22)
| op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e20) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_12_68,plain,
( e20 != op2(e23,e22)
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_12_66,refute_12_67]) ).
cnf(refute_12_69,plain,
e20 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_12_68,refute_12_57]) ).
cnf(refute_12_70,plain,
( op2(e23,e22) != e20
| e20 = op2(e23,e22) ),
inference(subst,[],[refute_12_7:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e20))]]) ).
cnf(refute_12_71,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_12_70,refute_12_69]) ).
cnf(refute_12_72,plain,
( op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_12_56,refute_12_71]) ).
cnf(refute_12_73,plain,
( e23 != e23
| op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_12_74,plain,
( e23 != e23
| e23 = op2(e23,e22)
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_12_72,refute_12_73]) ).
cnf(refute_12_75,plain,
( e23 != e23
| op2(e23,e22) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_12_74,refute_12_48]) ).
cnf(refute_12_76,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_12_77,plain,
( op2(e23,e22) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_76,refute_12_75]) ).
cnf(refute_12_78,plain,
( h3(e11) != e22
| op2(e23,e22) != e22
| h3(e11) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e23,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_12_79,plain,
( h3(e11) != e22
| h3(e11) = op2(e23,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_12_77,refute_12_78]) ).
cnf(refute_12_80,plain,
( h3(e11) != e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,e22)) )],[refute_12_79,refute_12_12]) ).
cnf(refute_12_81,plain,
op1(e12,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_12_22]) ).
cnf(refute_12_82,plain,
h4(op1(e13,e10)) != op2(h4(e13),h4(e10)),
inference(canonicalize,[],[normalize_12_29]) ).
cnf(refute_12_83,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_12_31]) ).
cnf(refute_12_84,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_12_85,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_12_17,refute_12_84]) ).
cnf(refute_12_86,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_12_83,refute_12_85]) ).
cnf(refute_12_87,plain,
op2(e23,h4(e10)) = op2(e23,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e10)))]]) ).
cnf(refute_12_88,plain,
( h4(e10) != e20
| op2(e23,h4(e10)) != op2(e23,h4(e10))
| op2(e23,h4(e10)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_12_89,plain,
( h4(e10) != e20
| op2(e23,h4(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) )],[refute_12_87,refute_12_88]) ).
cnf(refute_12_90,plain,
op2(e23,h4(e10)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_12_86,refute_12_89]) ).
cnf(refute_12_91,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_12_32]) ).
cnf(refute_12_92,plain,
op2(h4(e13),h4(e10)) = op2(h4(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e10)))]]) ).
cnf(refute_12_93,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e10)) != op2(h4(e13),h4(e10))
| op2(h4(e13),h4(e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_12_94,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e10)) = op2(e23,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) )],[refute_12_92,refute_12_93]) ).
cnf(refute_12_95,plain,
op2(h4(e13),h4(e10)) = op2(e23,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_91,refute_12_94]) ).
cnf(refute_12_96,plain,
( op2(e23,h4(e10)) != op2(e23,e20)
| op2(h4(e13),h4(e10)) != op2(e23,h4(e10))
| op2(h4(e13),h4(e10)) = op2(e23,e20) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(h4(e13),h4(e10)))),bind(Y,$fot(op2(e23,h4(e10)))),bind(Z,$fot(op2(e23,e20)))]]) ).
cnf(refute_12_97,plain,
( op2(e23,h4(e10)) != op2(e23,e20)
| op2(h4(e13),h4(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e23,h4(e10))) )],[refute_12_95,refute_12_96]) ).
cnf(refute_12_98,plain,
op2(h4(e13),h4(e10)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,e20)) )],[refute_12_90,refute_12_97]) ).
cnf(refute_12_99,plain,
( h4(op1(e13,e10)) != op2(e23,e20)
| op2(h4(e13),h4(e10)) != op2(e23,e20)
| h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),op2(h4(e13),h4(e10))) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_12_100,plain,
( h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e23,e20)) )],[refute_12_98,refute_12_99]) ).
cnf(refute_12_101,plain,
h4(op1(e13,e10)) != op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(h4(e13),h4(e10))) )],[refute_12_100,refute_12_82]) ).
cnf(refute_12_102,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_12_34]) ).
cnf(refute_12_103,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_12_35]) ).
cnf(refute_12_104,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_12_37]) ).
cnf(refute_12_105,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_12_106,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_12_104,refute_12_105]) ).
cnf(refute_12_107,plain,
( op1(e13,e10) != e11
| op1(e13,e13) != e11
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_12_108,plain,
( op1(e13,e10) != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_12_106,refute_12_107]) ).
cnf(refute_12_109,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_12_108,refute_12_103]) ).
cnf(refute_12_110,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_12_102,refute_12_109]) ).
cnf(refute_12_111,plain,
op1(e13,e10) != op1(e13,e11),
inference(canonicalize,[],[normalize_12_38]) ).
cnf(refute_12_112,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_12_39]) ).
cnf(refute_12_113,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_12_114,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_12_115,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_12_113,refute_12_114]) ).
cnf(refute_12_116,plain,
op1(e13,op1(e13,e13)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_12_106,refute_12_115]) ).
cnf(refute_12_117,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e11)
| e10 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_12_118,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e11)) )],[refute_12_116,refute_12_117]) ).
cnf(refute_12_119,plain,
e10 = op1(e13,e11),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_12_112,refute_12_118]) ).
cnf(refute_12_120,plain,
( e10 != op1(e13,e11)
| op1(e13,e11) = e10 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_12_121,plain,
op1(e13,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e11)) )],[refute_12_119,refute_12_120]) ).
cnf(refute_12_122,plain,
( op1(e13,e10) != e10
| op1(e13,e11) != e10
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_12_123,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_12_121,refute_12_122]) ).
cnf(refute_12_124,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_12_123,refute_12_111]) ).
cnf(refute_12_125,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_12_110,refute_12_124]) ).
cnf(refute_12_126,plain,
( h4(e13) != op2(e23,e20)
| op1(e13,e10) != e13
| h4(op1(e13,e10)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),op2(e23,e20)) ),[0,0],$fot(e13)]]) ).
cnf(refute_12_127,plain,
( h4(e13) != op2(e23,e20)
| h4(op1(e13,e10)) = op2(e23,e20)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_12_125,refute_12_126]) ).
cnf(refute_12_128,plain,
( h4(e13) != op2(e23,e20)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e23,e20)) )],[refute_12_127,refute_12_101]) ).
cnf(refute_12_129,plain,
( e23 != op2(e23,e20)
| h4(e13) != e23
| h4(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_12_130,plain,
( e23 != op2(e23,e20)
| h4(e13) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_91,refute_12_129]) ).
cnf(refute_12_131,plain,
( e23 != op2(e23,e20)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e20)) )],[refute_12_130,refute_12_128]) ).
cnf(refute_12_132,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_12_40]) ).
cnf(refute_12_133,plain,
( op2(e23,e20) != e22
| op2(e23,e22) != e22
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_12_134,plain,
( op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_12_77,refute_12_133]) ).
cnf(refute_12_135,plain,
( op2(e23,e20) != e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_12_134,refute_12_132]) ).
cnf(refute_12_136,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_12_41]) ).
cnf(refute_12_137,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_12_42]) ).
cnf(refute_12_138,plain,
( op2(e23,e20) != e21
| op2(e23,e23) != e21
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_12_139,plain,
( op2(e23,e20) != e21
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_52,refute_12_138]) ).
cnf(refute_12_140,plain,
op2(e23,e20) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_12_139,refute_12_137]) ).
cnf(refute_12_141,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_12_136,refute_12_140]) ).
cnf(refute_12_142,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_12_43]) ).
cnf(refute_12_143,plain,
( op2(e23,e20) != e20
| op2(e23,e21) != e20
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_12_144,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_12_66,refute_12_143]) ).
cnf(refute_12_145,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_12_144,refute_12_142]) ).
cnf(refute_12_146,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_12_141,refute_12_145]) ).
cnf(refute_12_147,plain,
( e22 != e22
| op2(e23,e20) != e22
| op2(e23,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(e22)]]) ).
cnf(refute_12_148,plain,
( e22 != e22
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_12_146,refute_12_147]) ).
cnf(refute_12_149,plain,
( e22 != e22
| op2(e23,e20) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_12_148,refute_12_135]) ).
cnf(refute_12_150,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_12_151,plain,
( op2(e23,e20) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_12_150,refute_12_149]) ).
cnf(refute_12_152,plain,
( e23 != e23
| op2(e23,e20) != e23
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_12_153,plain,
( e23 != e23
| e23 = op2(e23,e20)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_12_151,refute_12_152]) ).
cnf(refute_12_154,plain,
( e23 != e23
| op1(e13,e10) = e12
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_12_153,refute_12_131]) ).
cnf(refute_12_155,plain,
( op1(e13,e10) = e12
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_76,refute_12_154]) ).
cnf(refute_12_156,plain,
( op1(e12,e10) != e12
| op1(e13,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_12_157,plain,
( op1(e12,e10) != e12
| op1(e12,e10) = op1(e13,e10)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_12_155,refute_12_156]) ).
cnf(refute_12_158,plain,
( op1(e12,e10) != e12
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e13,e10)) )],[refute_12_157,refute_12_81]) ).
cnf(refute_12_159,plain,
op2(e21,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_12_44]) ).
cnf(refute_12_160,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_12_7:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_12_161,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_12_1,refute_12_160]) ).
cnf(refute_12_162,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_12_163,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_12_161,refute_12_162]) ).
cnf(refute_12_164,plain,
h2(e11) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_12_163,refute_12_159]) ).
cnf(refute_12_165,plain,
h4(op1(e12,e11)) = op2(h4(e12),h4(e11)),
inference(canonicalize,[],[normalize_12_45]) ).
cnf(refute_12_166,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_12_46]) ).
cnf(refute_12_167,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_12_168,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_52,refute_12_167]) ).
cnf(refute_12_169,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_12_166,refute_12_168]) ).
cnf(refute_12_170,plain,
op2(e22,h4(e11)) = op2(e22,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e11)))]]) ).
cnf(refute_12_171,plain,
( h4(e11) != e21
| op2(e22,h4(e11)) != op2(e22,h4(e11))
| op2(e22,h4(e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_12_172,plain,
( h4(e11) != e21
| op2(e22,h4(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) )],[refute_12_170,refute_12_171]) ).
cnf(refute_12_173,plain,
op2(e22,h4(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_12_169,refute_12_172]) ).
cnf(refute_12_174,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_12_47]) ).
cnf(refute_12_175,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_12_176,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_12_21,refute_12_175]) ).
cnf(refute_12_177,plain,
op2(op2(e23,op2(e23,e23)),e23) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_12_26,refute_12_176]) ).
cnf(refute_12_178,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_12_179,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),e22) )],[refute_12_177,refute_12_178]) ).
cnf(refute_12_180,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_12_174,refute_12_179]) ).
cnf(refute_12_181,plain,
op2(h4(e12),h4(e11)) = op2(h4(e12),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_12_182,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) = op2(e22,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) ),[1,0],$fot(e22)]]) ).
cnf(refute_12_183,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e11)) = op2(e22,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) )],[refute_12_181,refute_12_182]) ).
cnf(refute_12_184,plain,
op2(h4(e12),h4(e11)) = op2(e22,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_12_180,refute_12_183]) ).
cnf(refute_12_185,plain,
( op2(e22,h4(e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) != op2(e22,h4(e11))
| op2(h4(e12),h4(e11)) = op2(e22,e21) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e22,h4(e11)))),bind(Z,$fot(op2(e22,e21)))]]) ).
cnf(refute_12_186,plain,
( op2(e22,h4(e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,h4(e11))) )],[refute_12_184,refute_12_185]) ).
cnf(refute_12_187,plain,
op2(h4(e12),h4(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,e21)) )],[refute_12_173,refute_12_186]) ).
cnf(refute_12_188,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) != op2(e22,e21)
| h4(op1(e12,e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e22,e21)) ),[0],$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_12_189,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,e21)) )],[refute_12_187,refute_12_188]) ).
cnf(refute_12_190,plain,
h4(op1(e12,e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) )],[refute_12_165,refute_12_189]) ).
cnf(refute_12_191,plain,
h4(op1(e12,e12)) = op2(h4(e12),h4(e12)),
inference(canonicalize,[],[normalize_12_48]) ).
cnf(refute_12_192,plain,
op2(e22,h4(e12)) = op2(e22,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e12)))]]) ).
cnf(refute_12_193,plain,
( h4(e12) != e22
| op2(e22,h4(e12)) != op2(e22,h4(e12))
| op2(e22,h4(e12)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_12_194,plain,
( h4(e12) != e22
| op2(e22,h4(e12)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,h4(e12))) )],[refute_12_192,refute_12_193]) ).
cnf(refute_12_195,plain,
op2(e22,h4(e12)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_12_180,refute_12_194]) ).
cnf(refute_12_196,plain,
op2(h4(e12),h4(e12)) = op2(h4(e12),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e12)))]]) ).
cnf(refute_12_197,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e12)) != op2(h4(e12),h4(e12))
| op2(h4(e12),h4(e12)) = op2(e22,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) ),[1,0],$fot(e22)]]) ).
cnf(refute_12_198,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e12)) = op2(e22,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) )],[refute_12_196,refute_12_197]) ).
cnf(refute_12_199,plain,
op2(h4(e12),h4(e12)) = op2(e22,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_12_180,refute_12_198]) ).
cnf(refute_12_200,plain,
( op2(e22,h4(e12)) != op2(e22,e22)
| op2(h4(e12),h4(e12)) != op2(e22,h4(e12))
| op2(h4(e12),h4(e12)) = op2(e22,e22) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e22,h4(e12)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_12_201,plain,
( op2(e22,h4(e12)) != op2(e22,e22)
| op2(h4(e12),h4(e12)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e22,h4(e12))) )],[refute_12_199,refute_12_200]) ).
cnf(refute_12_202,plain,
op2(h4(e12),h4(e12)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,e22)) )],[refute_12_195,refute_12_201]) ).
cnf(refute_12_203,plain,
( op2(e22,e22) != h3(e11)
| op2(h4(e12),h4(e12)) != op2(e22,e22)
| op2(h4(e12),h4(e12)) = h3(e11) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_12_204,plain,
( op2(e22,e22) != h3(e11)
| op2(h4(e12),h4(e12)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e22,e22)) )],[refute_12_202,refute_12_203]) ).
cnf(refute_12_205,plain,
op2(h4(e12),h4(e12)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_12_9,refute_12_204]) ).
cnf(refute_12_206,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| op2(h4(e12),h4(e12)) != h3(e11)
| h4(op1(e12,e12)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e12)),h3(e11)) ),[0],$fot(op2(h4(e12),h4(e12)))]]) ).
cnf(refute_12_207,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e12)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),h3(e11)) )],[refute_12_205,refute_12_206]) ).
cnf(refute_12_208,plain,
h4(op1(e12,e12)) = h3(e11),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),op2(h4(e12),h4(e12))) )],[refute_12_191,refute_12_207]) ).
cnf(refute_12_209,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(canonicalize,[],[normalize_12_50]) ).
cnf(refute_12_210,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_12_51]) ).
cnf(refute_12_211,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(canonicalize,[],[normalize_12_52]) ).
cnf(refute_12_212,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = e10 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,op1(e13,e13))))]]) ).
cnf(refute_12_213,plain,
op1(e13,op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_12_112,refute_12_212]) ).
cnf(refute_12_214,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(op1(e13,op1(e13,e13)),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_12_215,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_12_216,plain,
( op1(e13,op1(e13,e13)) != e10
| op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(op1(e13,op1(e13,e13)),e13)) )],[refute_12_214,refute_12_215]) ).
cnf(refute_12_217,plain,
op1(op1(e13,op1(e13,e13)),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),e10) )],[refute_12_213,refute_12_216]) ).
cnf(refute_12_218,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| op1(op1(e13,op1(e13,e13)),e13) != op1(e10,e13)
| e12 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e13)) ),[0],$fot(op1(op1(e13,op1(e13,e13)),e13))]]) ).
cnf(refute_12_219,plain,
( e12 != op1(op1(e13,op1(e13,e13)),e13)
| e12 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,op1(e13,e13)),e13),op1(e10,e13)) )],[refute_12_217,refute_12_218]) ).
cnf(refute_12_220,plain,
e12 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e12,op1(op1(e13,op1(e13,e13)),e13)) )],[refute_12_211,refute_12_219]) ).
cnf(refute_12_221,plain,
( e12 != op1(e10,e13)
| op1(e10,e13) = e12 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_12_222,plain,
op1(e10,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_12_220,refute_12_221]) ).
cnf(refute_12_223,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_12_224,plain,
( e12 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_12_222,refute_12_223]) ).
cnf(refute_12_225,plain,
e12 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_12_224,refute_12_210]) ).
cnf(refute_12_226,plain,
( op1(e12,e13) != e12
| e12 = op1(e12,e13) ),
inference(subst,[],[refute_12_7:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_12_227,plain,
op1(e12,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_12_226,refute_12_225]) ).
cnf(refute_12_228,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_12_209,refute_12_227]) ).
cnf(refute_12_229,plain,
( h4(op1(e12,e12)) != h3(e11)
| op1(e12,e12) != e12
| h4(e12) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),h3(e11)) ),[0,0],$fot(e12)]]) ).
cnf(refute_12_230,plain,
( h4(op1(e12,e12)) != h3(e11)
| h4(e12) = h3(e11)
| op1(e12,e10) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_12_228,refute_12_229]) ).
cnf(refute_12_231,plain,
( h4(e12) = h3(e11)
| op1(e12,e10) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h3(e11)) )],[refute_12_208,refute_12_230]) ).
cnf(refute_12_232,plain,
( h4(e12) != e22
| h4(e12) != h3(e11)
| e22 = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h3(e11)) ),[0],$fot(e22)]]) ).
cnf(refute_12_233,plain,
( h4(e12) != h3(e11)
| e22 = h3(e11) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_12_180,refute_12_232]) ).
cnf(refute_12_234,plain,
( e22 = h3(e11)
| op1(e12,e10) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),h3(e11)) )],[refute_12_231,refute_12_233]) ).
cnf(refute_12_235,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| op1(e12,e11) != e12
| h4(e12) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e22,e21)) ),[0,0],$fot(e12)]]) ).
cnf(refute_12_236,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| e22 = h3(e11)
| h4(e12) = op2(e22,e21)
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_12_234,refute_12_235]) ).
cnf(refute_12_237,plain,
( e22 = h3(e11)
| h4(e12) = op2(e22,e21)
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e22,e21)) )],[refute_12_190,refute_12_236]) ).
cnf(refute_12_238,plain,
( h4(e12) != e22
| h4(e12) != op2(e22,e21)
| e22 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(e22,e21)) ),[0],$fot(e22)]]) ).
cnf(refute_12_239,plain,
( h4(e12) != op2(e22,e21)
| e22 = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_12_180,refute_12_238]) ).
cnf(refute_12_240,plain,
( e22 = h3(e11)
| e22 = op2(e22,e21)
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e22,e21)) )],[refute_12_237,refute_12_239]) ).
cnf(refute_12_241,plain,
( e22 != op2(e22,e21)
| op2(e22,e21) = e22 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e22)),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_12_242,plain,
( e22 = h3(e11)
| op1(e12,e10) = e12
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e21)) )],[refute_12_240,refute_12_241]) ).
cnf(refute_12_243,plain,
( h2(e11) != e22
| op2(e22,e21) != e22
| h2(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e22,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_12_244,plain,
( h2(e11) != e22
| e22 = h3(e11)
| h2(e11) = op2(e22,e21)
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_12_242,refute_12_243]) ).
cnf(refute_12_245,plain,
( h2(e11) != e22
| e22 = h3(e11)
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e21)) )],[refute_12_244,refute_12_164]) ).
cnf(refute_12_246,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_12_53]) ).
cnf(refute_12_247,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_12_54]) ).
cnf(refute_12_248,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_12_55]) ).
cnf(refute_12_249,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = h3(e10) ),
inference(subst,[],[refute_12_7:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_12_250,plain,
op2(e22,op2(e22,e22)) = h3(e10),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_12_248,refute_12_249]) ).
cnf(refute_12_251,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_12_252,plain,
( op2(e22,op2(e22,e22)) != h3(e10)
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(h3(e10))]]) ).
cnf(refute_12_253,plain,
( op2(e22,op2(e22,e22)) != h3(e10)
| op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_12_251,refute_12_252]) ).
cnf(refute_12_254,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(h3(e10),e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),h3(e10)) )],[refute_12_250,refute_12_253]) ).
cnf(refute_12_255,plain,
( h3(e12) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != op2(h3(e10),e22)
| h3(e12) = op2(h3(e10),e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(h3(e10),e22)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_12_256,plain,
( h3(e12) != op2(op2(e22,op2(e22,e22)),e22)
| h3(e12) = op2(h3(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(h3(e10),e22)) )],[refute_12_254,refute_12_255]) ).
cnf(refute_12_257,plain,
h3(e12) = op2(h3(e10),e22),
inference(resolve,[$cnf( $equal(h3(e12),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_12_247,refute_12_256]) ).
cnf(refute_12_258,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_12_56]) ).
cnf(refute_12_259,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_12_260,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_12_9,refute_12_259]) ).
cnf(refute_12_261,plain,
h3(e11) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_12_260,refute_12_258]) ).
cnf(refute_12_262,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_12_57]) ).
cnf(refute_12_263,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_12_58]) ).
cnf(refute_12_264,plain,
( op2(e22,e23) != e21
| op2(e23,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_12_265,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_52,refute_12_264]) ).
cnf(refute_12_266,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_12_265,refute_12_263]) ).
cnf(refute_12_267,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_12_262,refute_12_266]) ).
cnf(refute_12_268,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_12_59]) ).
cnf(refute_12_269,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) != e22
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_12_270,plain,
( e22 != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_12_26,refute_12_269]) ).
cnf(refute_12_271,plain,
e22 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_12_270,refute_12_268]) ).
cnf(refute_12_272,plain,
( op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
inference(subst,[],[refute_12_7:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_12_273,plain,
op2(e22,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_12_272,refute_12_271]) ).
cnf(refute_12_274,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_12_267,refute_12_273]) ).
cnf(refute_12_275,plain,
( h3(e11) != e23
| op2(e22,e23) != e23
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_12_276,plain,
( h3(e11) != e23
| h3(e11) = op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_12_274,refute_12_275]) ).
cnf(refute_12_277,plain,
( h3(e11) != e23
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_12_276,refute_12_261]) ).
cnf(refute_12_278,plain,
( e23 != e23
| h3(e11) != e23
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_12_279,plain,
( e23 != e23
| h3(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_12_45,refute_12_278]) ).
cnf(refute_12_280,plain,
( e23 != e23
| op2(e22,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_12_279,refute_12_277]) ).
cnf(refute_12_281,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_76,refute_12_280]) ).
cnf(refute_12_282,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_12_283,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_12_284,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_12_282,refute_12_283]) ).
cnf(refute_12_285,plain,
op2(e22,op2(e22,e22)) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_12_9,refute_12_284]) ).
cnf(refute_12_286,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) != op2(e22,h3(e11))
| h3(e10) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),op2(e22,h3(e11))) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_12_287,plain,
( h3(e10) != op2(e22,op2(e22,e22))
| h3(e10) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h3(e11))) )],[refute_12_285,refute_12_286]) ).
cnf(refute_12_288,plain,
h3(e10) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,op2(e22,e22))) )],[refute_12_248,refute_12_287]) ).
cnf(refute_12_289,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e11) != e23
| h3(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_12_290,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e10) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_12_45,refute_12_289]) ).
cnf(refute_12_291,plain,
( h3(e10) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) )],[refute_12_288,refute_12_290]) ).
cnf(refute_12_292,plain,
( h3(e10) != op2(e22,e23)
| op2(e22,e23) = h3(e10) ),
inference(subst,[],[refute_12_7:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_12_293,plain,
( op2(e22,e23) = h3(e10)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e23)) )],[refute_12_291,refute_12_292]) ).
cnf(refute_12_294,plain,
( op2(e22,e23) != e20
| op2(e22,e23) != h3(e10)
| h3(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e20) ),[0],$fot(h3(e10))]]) ).
cnf(refute_12_295,plain,
( op2(e22,e23) != e20
| h3(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),h3(e10)) )],[refute_12_293,refute_12_294]) ).
cnf(refute_12_296,plain,
( h3(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_12_281,refute_12_295]) ).
cnf(refute_12_297,plain,
( h3(e10) != e20
| h3(e12) != op2(h3(e10),e22)
| h3(e12) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e12),op2(h3(e10),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_12_298,plain,
( h3(e12) != op2(h3(e10),e22)
| h3(e12) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_12_296,refute_12_297]) ).
cnf(refute_12_299,plain,
( h3(e12) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(h3(e10),e22)) )],[refute_12_257,refute_12_298]) ).
cnf(refute_12_300,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) = h3(e12) ),
inference(subst,[],[refute_12_7:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_12_301,plain,
( op2(e20,e22) = h3(e12)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_12_299,refute_12_300]) ).
cnf(refute_12_302,plain,
( op2(e20,e22) != h3(e12)
| op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e22),h3(e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) ),[0,1],$fot(h3(e12))]]) ).
cnf(refute_12_303,plain,
( op2(op2(e20,e22),op2(e20,e22)) != e22
| op2(op2(e20,e22),h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e12)) )],[refute_12_301,refute_12_302]) ).
cnf(refute_12_304,plain,
( op2(op2(e20,e22),h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),op2(e20,e22)),e22) )],[refute_12_246,refute_12_303]) ).
cnf(refute_12_305,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_12_60]) ).
cnf(refute_12_306,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_12_61]) ).
cnf(refute_12_307,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_12_7:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_12_308,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_12_306,refute_12_307]) ).
cnf(refute_12_309,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_12_310,plain,
( h1(e11) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_12_308,refute_12_309]) ).
cnf(refute_12_311,plain,
h1(e11) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_12_310,refute_12_305]) ).
cnf(refute_12_312,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_12_63]) ).
cnf(refute_12_313,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_12_314,plain,
( op2(e20,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_12_308,refute_12_313]) ).
cnf(refute_12_315,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_12_312,refute_12_314]) ).
cnf(refute_12_316,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_12_317,plain,
( op2(e20,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_12_26,refute_12_316]) ).
cnf(refute_12_318,plain,
( e22 = e20
| h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_12_315,refute_12_317]) ).
cnf(refute_12_319,plain,
e20 != e22,
inference(canonicalize,[],[normalize_12_65]) ).
cnf(refute_12_320,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_12_321,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_12_320,refute_12_319]) ).
cnf(refute_12_322,plain,
( h1(e11) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_12_318,refute_12_321]) ).
cnf(refute_12_323,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_12_66]) ).
cnf(refute_12_324,plain,
( op2(e20,e21) != e20
| op2(e23,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_12_325,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_12_66,refute_12_324]) ).
cnf(refute_12_326,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_12_325,refute_12_323]) ).
cnf(refute_12_327,plain,
( h1(e11) = e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_12_322,refute_12_326]) ).
cnf(refute_12_328,plain,
( op2(e20,e22) != e20
| op2(op2(e20,e22),h3(e12)) != e22
| op2(e20,h3(e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) ),[0,0],$fot(e20)]]) ).
cnf(refute_12_329,plain,
( op2(op2(e20,e22),h3(e12)) != e22
| h1(e11) = e20
| op2(e20,h3(e12)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_12_327,refute_12_328]) ).
cnf(refute_12_330,plain,
( h1(e11) = e20
| op2(e20,h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) )],[refute_12_304,refute_12_329]) ).
cnf(refute_12_331,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) != e20
| h3(e12) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),e20) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_12_332,plain,
( h3(e12) != op2(e20,e22)
| h1(e11) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_12_327,refute_12_331]) ).
cnf(refute_12_333,plain,
( h1(e11) = e20
| h3(e12) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_12_299,refute_12_332]) ).
cnf(refute_12_334,plain,
( h3(e12) != e20
| op2(e20,h3(e12)) != e22
| op2(e20,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e12)),e22) ),[0,1],$fot(e20)]]) ).
cnf(refute_12_335,plain,
( op2(e20,h3(e12)) != e22
| h1(e11) = e20
| op2(e20,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),e20) )],[refute_12_333,refute_12_334]) ).
cnf(refute_12_336,plain,
( h1(e11) = e20
| op2(e20,e20) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e12)),e22) )],[refute_12_330,refute_12_335]) ).
cnf(refute_12_337,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_12_338,plain,
( op2(e20,e20) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_12_308,refute_12_337]) ).
cnf(refute_12_339,plain,
( h1(e11) = e20
| h1(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_12_336,refute_12_338]) ).
cnf(refute_12_340,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_12_67]) ).
cnf(refute_12_341,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_12_342,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_12_308,refute_12_341]) ).
cnf(refute_12_343,plain,
( h1(e11) != e22
| op2(e20,e23) != e22
| h1(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_12_344,plain,
( h1(e11) != e22
| h1(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_12_26,refute_12_343]) ).
cnf(refute_12_345,plain,
( h1(e11) != e22
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e23)) )],[refute_12_344,refute_12_342]) ).
cnf(refute_12_346,plain,
h1(e11) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_12_345,refute_12_340]) ).
cnf(refute_12_347,plain,
( h1(e11) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_12_339,refute_12_346]) ).
cnf(refute_12_348,plain,
( e20 != op2(e20,e22)
| h1(e11) != e20
| h1(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_12_349,plain,
( e20 != op2(e20,e22)
| h1(e11) = op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_12_347,refute_12_348]) ).
cnf(refute_12_350,plain,
( e20 != op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_12_349,refute_12_311]) ).
cnf(refute_12_351,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_12_68]) ).
cnf(refute_12_352,plain,
( op2(e20,e22) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_12_353,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_12_9,refute_12_352]) ).
cnf(refute_12_354,plain,
op2(e20,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_12_353,refute_12_351]) ).
cnf(refute_12_355,plain,
( h3(e11) != e23
| op2(e20,e22) != e23
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h3(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_12_356,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = h3(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_12_45,refute_12_355]) ).
cnf(refute_12_357,plain,
( op2(e20,e22) != e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_12_356,refute_12_354]) ).
cnf(refute_12_358,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_12_69]) ).
cnf(refute_12_359,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_12_70]) ).
cnf(refute_12_360,plain,
( op2(e20,e22) != e22
| op2(e20,e23) != e22
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_12_361,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_12_26,refute_12_360]) ).
cnf(refute_12_362,plain,
op2(e20,e22) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_12_361,refute_12_359]) ).
cnf(refute_12_363,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_12_358,refute_12_362]) ).
cnf(refute_12_364,plain,
( e23 != e23
| op2(e20,e22) != e23
| op2(e20,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_12_365,plain,
( e23 != e23
| op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_12_363,refute_12_364]) ).
cnf(refute_12_366,plain,
( e23 != e23
| op2(e20,e22) = e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_12_365,refute_12_357]) ).
cnf(refute_12_367,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_76,refute_12_366]) ).
cnf(refute_12_368,plain,
( e20 != e20
| op2(e20,e22) != e20
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_12_369,plain,
( e20 != e20
| e20 = op2(e20,e22)
| op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_12_367,refute_12_368]) ).
cnf(refute_12_370,plain,
( e20 != e20
| op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_12_369,refute_12_350]) ).
cnf(refute_12_371,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_12_372,plain,
( op2(e20,e22) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_12_371,refute_12_370]) ).
cnf(refute_12_373,plain,
( op2(e20,e22) != e21
| op2(op2(e20,e22),h3(e12)) != e22
| op2(e21,h3(e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) ),[0,0],$fot(e21)]]) ).
cnf(refute_12_374,plain,
( op2(op2(e20,e22),h3(e12)) != e22
| op2(e21,h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_12_372,refute_12_373]) ).
cnf(refute_12_375,plain,
( op2(e21,h3(e12)) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),h3(e12)),e22) )],[refute_12_304,refute_12_374]) ).
cnf(refute_12_376,plain,
( h3(e12) != op2(e20,e22)
| op2(e20,e22) != e21
| h3(e12) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),e21) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_12_377,plain,
( h3(e12) != op2(e20,e22)
| h3(e12) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_12_372,refute_12_376]) ).
cnf(refute_12_378,plain,
( h3(e12) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e20,e22)) )],[refute_12_299,refute_12_377]) ).
cnf(refute_12_379,plain,
( h3(e12) != e21
| op2(e21,h3(e12)) != e22
| op2(e21,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e12)),e22) ),[0,1],$fot(e21)]]) ).
cnf(refute_12_380,plain,
( op2(e21,h3(e12)) != e22
| op2(e21,e21) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e12),e21) )],[refute_12_378,refute_12_379]) ).
cnf(refute_12_381,plain,
( op2(e21,e21) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e12)),e22) )],[refute_12_375,refute_12_380]) ).
cnf(refute_12_382,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_12_383,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_12_161,refute_12_382]) ).
cnf(refute_12_384,plain,
( h2(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_12_381,refute_12_383]) ).
cnf(refute_12_385,plain,
( e22 != e22
| h2(e11) != e22
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[1],$fot(e22)]]) ).
cnf(refute_12_386,plain,
( e22 != e22
| h2(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_12_384,refute_12_385]) ).
cnf(refute_12_387,plain,
( e22 != e22
| e22 = h3(e11)
| op1(e12,e10) = e12
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_12_386,refute_12_245]) ).
cnf(refute_12_388,plain,
( e22 = h3(e11)
| op1(e12,e10) = e12
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_12_150,refute_12_387]) ).
cnf(refute_12_389,plain,
( e12 != e12
| op1(e12,e10) != e12
| op1(e12,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[0,0],$fot(e12)]]) ).
cnf(refute_12_390,plain,
( e12 != e12
| e22 = h3(e11)
| op1(e12,e10) = e12
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_12_388,refute_12_389]) ).
cnf(refute_12_391,plain,
( e12 != e12
| e22 = h3(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_12_390,refute_12_158]) ).
cnf(refute_12_392,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_12_393,plain,
( e22 = h3(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_12_392,refute_12_391]) ).
cnf(refute_12_394,plain,
( e22 != h3(e11)
| h3(e11) = e22 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e22)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_12_395,plain,
( h3(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,h3(e11)) )],[refute_12_393,refute_12_394]) ).
cnf(refute_12_396,plain,
( e22 != e22
| h3(e11) != e22
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[1],$fot(e22)]]) ).
cnf(refute_12_397,plain,
( e22 != e22
| h3(e11) = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_12_395,refute_12_396]) ).
cnf(refute_12_398,plain,
( e22 != e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_12_397,refute_12_80]) ).
cnf(refute_12_399,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_12_150,refute_12_398]) ).
cnf(refute_12_400,plain,
( ~ definitionFOFtoCNF_3
| op2(op2(e21,e20),op2(e21,e20)) = e20 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_12_399,refute_12_2]) ).
cnf(refute_12_401,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_12_71]) ).
cnf(refute_12_402,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_12_403,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_12_308,refute_12_402]) ).
cnf(refute_12_404,plain,
h1(e11) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_12_403,refute_12_401]) ).
cnf(refute_12_405,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(canonicalize,[],[normalize_12_72]) ).
cnf(refute_12_406,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_12_73]) ).
cnf(refute_12_407,plain,
( op2(e20,e21) != e22
| op2(e20,e23) != e22
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_12_408,plain,
( op2(e20,e21) != e22
| op2(e20,e21) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_12_26,refute_12_407]) ).
cnf(refute_12_409,plain,
op2(e20,e21) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_12_408,refute_12_406]) ).
cnf(refute_12_410,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_12_405,refute_12_409]) ).
cnf(refute_12_411,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_12_410,refute_12_326]) ).
cnf(refute_12_412,plain,
( h1(e11) != e23
| op2(e20,e21) != e23
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_12_413,plain,
( h1(e11) != e23
| h1(e11) = op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_12_411,refute_12_412]) ).
cnf(refute_12_414,plain,
( h1(e11) != e23
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_12_413,refute_12_404]) ).
cnf(refute_12_415,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference(canonicalize,[],[normalize_12_76]) ).
cnf(refute_12_416,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_12_77]) ).
cnf(refute_12_417,plain,
( op2(e20,e21) != h2(e11)
| op2(e21,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_12_418,plain,
( op2(e20,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_12_161,refute_12_417]) ).
cnf(refute_12_419,plain,
op2(e20,e21) != h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_12_418,refute_12_416]) ).
cnf(refute_12_420,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_12_82]) ).
cnf(refute_12_421,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_12_422,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_12_423,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_12_421,refute_12_422]) ).
cnf(refute_12_424,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_52,refute_12_423]) ).
cnf(refute_12_425,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_12_426,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_12_427,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_12_425,refute_12_426]) ).
cnf(refute_12_428,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_52,refute_12_427]) ).
cnf(refute_12_429,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_12_430,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_12_428,refute_12_429]) ).
cnf(refute_12_431,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_12_424,refute_12_430]) ).
cnf(refute_12_432,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_12_433,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_12_431,refute_12_432]) ).
cnf(refute_12_434,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_12_161,refute_12_433]) ).
cnf(refute_12_435,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_12_436,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_12_434,refute_12_435]) ).
cnf(refute_12_437,plain,
( h2(e11) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e23) )],[refute_12_420,refute_12_436]) ).
cnf(refute_12_438,plain,
( h2(e11) != e23
| op2(e20,e21) != e23
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),h2(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_12_439,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = h2(e11)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_12_437,refute_12_438]) ).
cnf(refute_12_440,plain,
( op2(e20,e21) != e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_12_439,refute_12_419]) ).
cnf(refute_12_441,plain,
( e23 != e23
| op2(e20,e21) != e23
| op2(e20,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(e23)]]) ).
cnf(refute_12_442,plain,
( e23 != e23
| op2(e20,e21) = e21
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_12_411,refute_12_441]) ).
cnf(refute_12_443,plain,
( e23 != e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_12_442,refute_12_440]) ).
cnf(refute_12_444,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_76,refute_12_443]) ).
cnf(refute_12_445,plain,
( h1(e11) != e21
| op2(e20,e21) != e21
| h1(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_12_446,plain,
( h1(e11) != e21
| h1(e11) = op2(e20,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_12_444,refute_12_445]) ).
cnf(refute_12_447,plain,
( h1(e11) != e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_12_446,refute_12_404]) ).
cnf(refute_12_448,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_12_83]) ).
cnf(refute_12_449,plain,
op2(e20,op2(e23,e21)) = op2(e20,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e21)))]]) ).
cnf(refute_12_450,plain,
( op2(e20,op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(e23,e21) != e20
| op2(e20,op2(e23,e21)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) ),[1,1],$fot(e20)]]) ).
cnf(refute_12_451,plain,
( op2(e23,e21) != e20
| op2(e20,op2(e23,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_12_449,refute_12_450]) ).
cnf(refute_12_452,plain,
op2(e20,op2(e23,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_12_66,refute_12_451]) ).
cnf(refute_12_453,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(op2(e23,e21),op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),op2(e23,e21)))]]) ).
cnf(refute_12_454,plain,
( op2(e23,e21) != e20
| op2(op2(e23,e21),op2(e23,e21)) != op2(op2(e23,e21),op2(e23,e21))
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(op2(e23,e21),op2(e23,e21))) ),[1,0],$fot(e20)]]) ).
cnf(refute_12_455,plain,
( op2(e23,e21) != e20
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(op2(e23,e21),op2(e23,e21))) )],[refute_12_453,refute_12_454]) ).
cnf(refute_12_456,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(e20,op2(e23,e21)),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_12_66,refute_12_455]) ).
cnf(refute_12_457,plain,
( op2(e20,op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(op2(e23,e21),op2(e23,e21)))),bind(Y,$fot(op2(e20,op2(e23,e21)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_12_458,plain,
( op2(e20,op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_12_456,refute_12_457]) ).
cnf(refute_12_459,plain,
op2(op2(e23,e21),op2(e23,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,e20)) )],[refute_12_452,refute_12_458]) ).
cnf(refute_12_460,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e23,e21),op2(e23,e21)) != op2(e20,e20)
| op2(op2(e23,e21),op2(e23,e21)) = h1(e11) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(op2(e23,e21),op2(e23,e21)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_12_461,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e23,e21),op2(e23,e21)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),op2(e20,e20)) )],[refute_12_459,refute_12_460]) ).
cnf(refute_12_462,plain,
op2(op2(e23,e21),op2(e23,e21)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_12_308,refute_12_461]) ).
cnf(refute_12_463,plain,
( op2(op2(e23,e21),op2(e23,e21)) != e21
| op2(op2(e23,e21),op2(e23,e21)) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_12_464,plain,
( op2(op2(e23,e21),op2(e23,e21)) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),h1(e11)) )],[refute_12_462,refute_12_463]) ).
cnf(refute_12_465,plain,
( h1(e11) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),op2(e23,e21)),e21) )],[refute_12_448,refute_12_464]) ).
cnf(refute_12_466,plain,
( e21 != e21
| h1(e11) != e21
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_12_467,plain,
( e21 != e21
| h1(e11) = e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_12_465,refute_12_466]) ).
cnf(refute_12_468,plain,
( e21 != e21
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_12_467,refute_12_447]) ).
cnf(refute_12_469,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_12_470,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_469,refute_12_468]) ).
cnf(refute_12_471,plain,
( op2(op2(e22,e23),op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_12_470,refute_12_415]) ).
cnf(refute_12_472,plain,
h4(op1(e12,e13)) = op2(h4(e12),h4(e13)),
inference(canonicalize,[],[normalize_12_84]) ).
cnf(refute_12_473,plain,
op2(e22,h4(e13)) = op2(e22,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e13)))]]) ).
cnf(refute_12_474,plain,
( h4(e13) != e23
| op2(e22,h4(e13)) != op2(e22,h4(e13))
| op2(e22,h4(e13)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_12_475,plain,
( h4(e13) != e23
| op2(e22,h4(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) )],[refute_12_473,refute_12_474]) ).
cnf(refute_12_476,plain,
op2(e22,h4(e13)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_91,refute_12_475]) ).
cnf(refute_12_477,plain,
op2(h4(e12),h4(e13)) = op2(h4(e12),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_12_478,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) = op2(e22,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_12_479,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e13)) = op2(e22,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) )],[refute_12_477,refute_12_478]) ).
cnf(refute_12_480,plain,
op2(h4(e12),h4(e13)) = op2(e22,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_12_180,refute_12_479]) ).
cnf(refute_12_481,plain,
( op2(e22,h4(e13)) != op2(e22,e23)
| op2(h4(e12),h4(e13)) != op2(e22,h4(e13))
| op2(h4(e12),h4(e13)) = op2(e22,e23) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e22,h4(e13)))),bind(Z,$fot(op2(e22,e23)))]]) ).
cnf(refute_12_482,plain,
( op2(e22,h4(e13)) != op2(e22,e23)
| op2(h4(e12),h4(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e22,h4(e13))) )],[refute_12_480,refute_12_481]) ).
cnf(refute_12_483,plain,
op2(h4(e12),h4(e13)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,e23)) )],[refute_12_476,refute_12_482]) ).
cnf(refute_12_484,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) != op2(e22,e23)
| h4(op1(e12,e13)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(e22,e23)) ),[0],$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_12_485,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e22,e23)) )],[refute_12_483,refute_12_484]) ).
cnf(refute_12_486,plain,
h4(op1(e12,e13)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) )],[refute_12_472,refute_12_485]) ).
cnf(refute_12_487,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_12_85]) ).
cnf(refute_12_488,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_12_86]) ).
cnf(refute_12_489,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_12_490,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_12_106,refute_12_489]) ).
cnf(refute_12_491,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_12_490,refute_12_488]) ).
cnf(refute_12_492,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_12_487,refute_12_491]) ).
cnf(refute_12_493,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_12_492,refute_12_227]) ).
cnf(refute_12_494,plain,
( h4(op1(e12,e13)) != op2(e22,e23)
| op1(e12,e13) != e13
| h4(e13) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),op2(e22,e23)) ),[0,0],$fot(e13)]]) ).
cnf(refute_12_495,plain,
( h4(op1(e12,e13)) != op2(e22,e23)
| h4(e13) = op2(e22,e23)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_12_493,refute_12_494]) ).
cnf(refute_12_496,plain,
( h4(e13) = op2(e22,e23)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e22,e23)) )],[refute_12_486,refute_12_495]) ).
cnf(refute_12_497,plain,
( h4(e13) != e23
| h4(e13) != op2(e22,e23)
| e23 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e22,e23)) ),[0],$fot(e23)]]) ).
cnf(refute_12_498,plain,
( h4(e13) != op2(e22,e23)
| e23 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_91,refute_12_497]) ).
cnf(refute_12_499,plain,
( e23 = op2(e22,e23)
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e22,e23)) )],[refute_12_496,refute_12_498]) ).
cnf(refute_12_500,plain,
( e23 != op2(e22,e23)
| op2(e22,e23) = e23 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_12_501,plain,
( op1(e12,e13) = e10
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_12_499,refute_12_500]) ).
cnf(refute_12_502,plain,
( op2(e22,e23) != e23
| op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(op2(e22,e23),e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_12_503,plain,
( op2(op2(e22,e23),op2(e22,e23)) != e23
| op1(e12,e13) = e10
| op2(op2(e22,e23),e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_12_501,refute_12_502]) ).
cnf(refute_12_504,plain,
( op1(e12,e13) = e10
| op2(op2(e22,e23),e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) )],[refute_12_471,refute_12_503]) ).
cnf(refute_12_505,plain,
( op2(e22,e23) != e23
| op2(op2(e22,e23),e23) != e23
| op2(e23,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_12_506,plain,
( op2(op2(e22,e23),e23) != e23
| op1(e12,e13) = e10
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_12_501,refute_12_505]) ).
cnf(refute_12_507,plain,
( op1(e12,e13) = e10
| op2(e23,e23) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),e23) )],[refute_12_504,refute_12_506]) ).
cnf(refute_12_508,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e21)]]) ).
cnf(refute_12_509,plain,
( op2(e23,e23) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_52,refute_12_508]) ).
cnf(refute_12_510,plain,
( e21 = e23
| op1(e12,e13) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_12_507,refute_12_509]) ).
cnf(refute_12_511,plain,
e21 != e23,
inference(canonicalize,[],[normalize_12_87]) ).
cnf(refute_12_512,plain,
( op1(e12,e13) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_12_510,refute_12_511]) ).
cnf(refute_12_513,plain,
( h4(op1(e12,e13)) != op2(e22,e23)
| op1(e12,e13) != e10
| h4(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),op2(e22,e23)) ),[0,0],$fot(e10)]]) ).
cnf(refute_12_514,plain,
( h4(op1(e12,e13)) != op2(e22,e23)
| h4(e10) = op2(e22,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_12_512,refute_12_513]) ).
cnf(refute_12_515,plain,
( h4(e10) = op2(e22,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e22,e23)) )],[refute_12_486,refute_12_514]) ).
cnf(refute_12_516,plain,
( h4(e10) != e20
| h4(e10) != op2(e22,e23)
| e20 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e22,e23)) ),[0],$fot(e20)]]) ).
cnf(refute_12_517,plain,
( h4(e10) != op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_12_86,refute_12_516]) ).
cnf(refute_12_518,plain,
( e20 = op2(e22,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e22,e23)) )],[refute_12_515,refute_12_517]) ).
cnf(refute_12_519,plain,
( e20 != op2(e22,e23)
| op2(e22,e23) = e20 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_12_520,plain,
( op2(e22,e23) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e23)) )],[refute_12_518,refute_12_519]) ).
cnf(refute_12_521,plain,
( op2(e22,e23) != e20
| op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e20,op2(e22,e23)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) ),[0,0],$fot(e20)]]) ).
cnf(refute_12_522,plain,
( op2(op2(e22,e23),op2(e22,e23)) != e23
| op2(e20,op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_12_520,refute_12_521]) ).
cnf(refute_12_523,plain,
( op2(e20,op2(e22,e23)) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),op2(e22,e23)),e23) )],[refute_12_471,refute_12_522]) ).
cnf(refute_12_524,plain,
( op2(e20,op2(e22,e23)) != e23
| op2(e22,e23) != e20
| op2(e20,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e23)),e23) ),[0,1],$fot(e20)]]) ).
cnf(refute_12_525,plain,
( op2(e20,op2(e22,e23)) != e23
| op2(e20,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_12_520,refute_12_524]) ).
cnf(refute_12_526,plain,
( op2(e20,e20) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e23)),e23) )],[refute_12_523,refute_12_525]) ).
cnf(refute_12_527,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_12_528,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_12_308,refute_12_527]) ).
cnf(refute_12_529,plain,
( h1(e11) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_12_526,refute_12_528]) ).
cnf(refute_12_530,plain,
( e23 != e23
| h1(e11) != e23
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_12_531,plain,
( e23 != e23
| h1(e11) = e23
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_12_529,refute_12_530]) ).
cnf(refute_12_532,plain,
( e23 != e23
| op2(e20,e21) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_12_531,refute_12_414]) ).
cnf(refute_12_533,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_76,refute_12_532]) ).
cnf(refute_12_534,plain,
( h1(e11) != e21
| h1(e11) = op2(e20,e21)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_12_533,refute_12_445]) ).
cnf(refute_12_535,plain,
( h1(e11) != e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_12_534,refute_12_404]) ).
cnf(refute_12_536,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_12_88]) ).
cnf(refute_12_537,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_12_89]) ).
cnf(refute_12_538,plain,
( op2(e21,e23) != e20
| op2(e22,e23) != e20
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_12_539,plain,
( op2(e21,e23) != e20
| op2(e21,e23) = op2(e22,e23)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_12_520,refute_12_538]) ).
cnf(refute_12_540,plain,
( op2(e21,e23) != e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_12_539,refute_12_537]) ).
cnf(refute_12_541,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(canonicalize,[],[normalize_12_90]) ).
cnf(refute_12_542,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e11)
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e11))]]) ).
cnf(refute_12_543,plain,
( op2(e21,e21) != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_12_161,refute_12_542]) ).
cnf(refute_12_544,plain,
( h2(e11) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_12_541,refute_12_543]) ).
cnf(refute_12_545,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_12_91]) ).
cnf(refute_12_546,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_12_547,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_12_161,refute_12_546]) ).
cnf(refute_12_548,plain,
h2(e11) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_12_547,refute_12_545]) ).
cnf(refute_12_549,plain,
( h2(e11) != e20
| op2(e23,e21) != e20
| h2(e11) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_12_550,plain,
( h2(e11) != e20
| h2(e11) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_12_66,refute_12_549]) ).
cnf(refute_12_551,plain,
h2(e11) != e20,
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e21)) )],[refute_12_550,refute_12_548]) ).
cnf(refute_12_552,plain,
( op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_12_544,refute_12_551]) ).
cnf(refute_12_553,plain,
( e20 != e20
| op2(e21,e23) != e20
| op2(e21,e23) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[1],$fot(e20)]]) ).
cnf(refute_12_554,plain,
( e20 != e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_12_552,refute_12_553]) ).
cnf(refute_12_555,plain,
( e20 != e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_12_554,refute_12_540]) ).
cnf(refute_12_556,plain,
( op2(e21,e20) = e20
| op2(e21,e22) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_12_371,refute_12_555]) ).
cnf(refute_12_557,plain,
( op2(e20,e22) != e20
| op2(e21,e22) != e20
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_12_558,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e21,e22)
| op2(e21,e20) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_12_556,refute_12_557]) ).
cnf(refute_12_559,plain,
( op2(e20,e22) != e20
| op2(e21,e20) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_12_558,refute_12_536]) ).
cnf(refute_12_560,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_12_92]) ).
cnf(refute_12_561,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_12_562,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) != op2(e20,h4(e12))
| op2(e20,h4(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_12_563,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_12_561,refute_12_562]) ).
cnf(refute_12_564,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_12_180,refute_12_563]) ).
cnf(refute_12_565,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_12_566,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_12_567,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_12_565,refute_12_566]) ).
cnf(refute_12_568,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_12_86,refute_12_567]) ).
cnf(refute_12_569,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_12_570,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_12_568,refute_12_569]) ).
cnf(refute_12_571,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_12_564,refute_12_570]) ).
cnf(refute_12_572,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_12_573,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_12_571,refute_12_572]) ).
cnf(refute_12_574,plain,
h4(op1(e10,e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_12_560,refute_12_573]) ).
cnf(refute_12_575,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_12_93]) ).
cnf(refute_12_576,plain,
( e21 != op2(e20,e22)
| op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_12_577,plain,
( e21 != op2(e20,e22)
| op2(e20,e21) = op2(e20,e22)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_12_533,refute_12_576]) ).
cnf(refute_12_578,plain,
( e21 != op2(e20,e22)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_12_577,refute_12_575]) ).
cnf(refute_12_579,plain,
( e23 != op2(e20,e22)
| h1(e11) != e23
| h1(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_12_580,plain,
( e23 != op2(e20,e22)
| h1(e11) = op2(e20,e22)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_12_529,refute_12_579]) ).
cnf(refute_12_581,plain,
( e23 != op2(e20,e22)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e22)) )],[refute_12_580,refute_12_311]) ).
cnf(refute_12_582,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_12_94]) ).
cnf(refute_12_583,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_12_95]) ).
cnf(refute_12_584,plain,
( op1(e10,e12) != e12
| op1(e10,e13) != e12
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_12_585,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_12_222,refute_12_584]) ).
cnf(refute_12_586,plain,
op1(e10,e12) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_12_585,refute_12_583]) ).
cnf(refute_12_587,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_12_582,refute_12_586]) ).
cnf(refute_12_588,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e13
| h4(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e13)]]) ).
cnf(refute_12_589,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e13) = op2(e20,e22)
| op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_12_587,refute_12_588]) ).
cnf(refute_12_590,plain,
( h4(e13) = op2(e20,e22)
| op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_12_574,refute_12_589]) ).
cnf(refute_12_591,plain,
( h4(e13) != e23
| h4(e13) != op2(e20,e22)
| e23 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e20,e22)) ),[0],$fot(e23)]]) ).
cnf(refute_12_592,plain,
( h4(e13) != op2(e20,e22)
| e23 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_91,refute_12_591]) ).
cnf(refute_12_593,plain,
( e23 = op2(e20,e22)
| op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e22)) )],[refute_12_590,refute_12_592]) ).
cnf(refute_12_594,plain,
( e23 != op2(e20,e22)
| op2(e20,e22) = e23 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_12_595,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e22)) )],[refute_12_593,refute_12_594]) ).
cnf(refute_12_596,plain,
( e23 != e23
| op2(e20,e22) != e23
| e23 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e20,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_12_597,plain,
( e23 != e23
| e23 = op2(e20,e22)
| op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_12_595,refute_12_596]) ).
cnf(refute_12_598,plain,
( e23 != e23
| op1(e10,e12) = e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e22)) )],[refute_12_597,refute_12_581]) ).
cnf(refute_12_599,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_76,refute_12_598]) ).
cnf(refute_12_600,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e11
| h4(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e11)]]) ).
cnf(refute_12_601,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e11) = op2(e20,e22)
| op1(e10,e12) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_12_599,refute_12_600]) ).
cnf(refute_12_602,plain,
( h4(e11) = op2(e20,e22)
| op1(e10,e12) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_12_574,refute_12_601]) ).
cnf(refute_12_603,plain,
( h4(e11) != e21
| h4(e11) != op2(e20,e22)
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e20,e22)) ),[0],$fot(e21)]]) ).
cnf(refute_12_604,plain,
( h4(e11) != op2(e20,e22)
| e21 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_12_169,refute_12_603]) ).
cnf(refute_12_605,plain,
( e21 = op2(e20,e22)
| op1(e10,e12) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e22)) )],[refute_12_602,refute_12_604]) ).
cnf(refute_12_606,plain,
( e21 != op2(e20,e22)
| op2(e20,e22) = e21 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_12_607,plain,
( op1(e10,e12) = e10
| op2(e20,e22) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_12_605,refute_12_606]) ).
cnf(refute_12_608,plain,
( e21 != e21
| op2(e20,e22) != e21
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_12_609,plain,
( e21 != e21
| e21 = op2(e20,e22)
| op1(e10,e12) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_12_607,refute_12_608]) ).
cnf(refute_12_610,plain,
( e21 != e21
| op1(e10,e12) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_12_609,refute_12_578]) ).
cnf(refute_12_611,plain,
( op1(e10,e12) = e10
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_469,refute_12_610]) ).
cnf(refute_12_612,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e10
| h4(e10) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e10)]]) ).
cnf(refute_12_613,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e10) = op2(e20,e22)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_12_611,refute_12_612]) ).
cnf(refute_12_614,plain,
( h4(e10) = op2(e20,e22)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_12_574,refute_12_613]) ).
cnf(refute_12_615,plain,
( h4(e10) != e20
| h4(e10) != op2(e20,e22)
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e20,e22)) ),[0],$fot(e20)]]) ).
cnf(refute_12_616,plain,
( h4(e10) != op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_12_86,refute_12_615]) ).
cnf(refute_12_617,plain,
( e20 = op2(e20,e22)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e22)) )],[refute_12_614,refute_12_616]) ).
cnf(refute_12_618,plain,
( e20 != op2(e20,e22)
| op2(e20,e22) = e20 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_12_619,plain,
( op2(e20,e22) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_12_617,refute_12_618]) ).
cnf(refute_12_620,plain,
( e20 != e20
| op2(e20,e22) != e20
| op2(e20,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0,0],$fot(e20)]]) ).
cnf(refute_12_621,plain,
( e20 != e20
| op2(e20,e22) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_12_619,refute_12_620]) ).
cnf(refute_12_622,plain,
( e20 != e20
| op2(e21,e20) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_12_621,refute_12_559]) ).
cnf(refute_12_623,plain,
( op2(e21,e20) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_12_371,refute_12_622]) ).
cnf(refute_12_624,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_12_96]) ).
cnf(refute_12_625,plain,
( op2(e22,e20) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_12_626,plain,
( op2(e22,e20) != h3(e11)
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_12_9,refute_12_625]) ).
cnf(refute_12_627,plain,
op2(e22,e20) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_12_626,refute_12_624]) ).
cnf(refute_12_628,plain,
( ~ definitionFOFtoCNF_5
| op2(op2(e22,e20),op2(e22,e20)) = e20 ),
inference(canonicalize,[],[normalize_12_97]) ).
cnf(refute_12_629,plain,
( op2(op2(e22,e20),op2(e22,e20)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_12_470,refute_12_628]) ).
cnf(refute_12_630,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_12_98]) ).
cnf(refute_12_631,plain,
( e21 != op2(e22,e21)
| op2(e20,e21) != e21
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_12_632,plain,
( e21 != op2(e22,e21)
| op2(e20,e21) = op2(e22,e21)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_12_533,refute_12_631]) ).
cnf(refute_12_633,plain,
( e21 != op2(e22,e21)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_12_632,refute_12_630]) ).
cnf(refute_12_634,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_12_99]) ).
cnf(refute_12_635,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_12_636,plain,
( op2(e22,e22) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_12_9,refute_12_635]) ).
cnf(refute_12_637,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_12_634,refute_12_636]) ).
cnf(refute_12_638,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_12_637,refute_12_266]) ).
cnf(refute_12_639,plain,
( e21 != e21
| op2(e22,e21) != e21
| e21 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_12_640,plain,
( e21 != e21
| e21 = op2(e22,e21)
| h3(e11) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_12_638,refute_12_639]) ).
cnf(refute_12_641,plain,
( e21 != e21
| h3(e11) = e21
| op2(e22,e20) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_12_640,refute_12_633]) ).
cnf(refute_12_642,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_469,refute_12_641]) ).
cnf(refute_12_643,plain,
( op2(e22,e20) != e21
| op2(op2(e22,e20),op2(e22,e20)) != e20
| op2(e21,op2(e22,e20)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e20),op2(e22,e20)),e20) ),[0,0],$fot(e21)]]) ).
cnf(refute_12_644,plain,
( op2(op2(e22,e20),op2(e22,e20)) != e20
| h3(e11) = e21
| op2(e21,op2(e22,e20)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_12_642,refute_12_643]) ).
cnf(refute_12_645,plain,
( h3(e11) = e21
| op2(e21,op2(e22,e20)) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),op2(e22,e20)),e20) )],[refute_12_629,refute_12_644]) ).
cnf(refute_12_646,plain,
( op2(e21,op2(e22,e20)) != e20
| op2(e22,e20) != e21
| op2(e21,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e20)),e20) ),[0,1],$fot(e21)]]) ).
cnf(refute_12_647,plain,
( op2(e21,op2(e22,e20)) != e20
| h3(e11) = e21
| op2(e21,e21) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_12_642,refute_12_646]) ).
cnf(refute_12_648,plain,
( h3(e11) = e21
| op2(e21,e21) = e20
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e20)),e20) )],[refute_12_645,refute_12_647]) ).
cnf(refute_12_649,plain,
( h2(e11) = e20
| h3(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_12_648,refute_12_543]) ).
cnf(refute_12_650,plain,
( h3(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_12_649,refute_12_551]) ).
cnf(refute_12_651,plain,
( h3(e11) != e21
| op2(e22,e20) != e21
| op2(e22,e20) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_12_652,plain,
( op2(e22,e20) != e21
| op2(e22,e20) = h3(e11)
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_12_650,refute_12_651]) ).
cnf(refute_12_653,plain,
( op2(e22,e20) != e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h3(e11)) )],[refute_12_652,refute_12_627]) ).
cnf(refute_12_654,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(canonicalize,[],[normalize_12_100]) ).
cnf(refute_12_655,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_12_656,plain,
( op2(e20,e20) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_12_308,refute_12_655]) ).
cnf(refute_12_657,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_12_654,refute_12_656]) ).
cnf(refute_12_658,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_12_657,refute_12_140]) ).
cnf(refute_12_659,plain,
( e21 != e21
| op2(e22,e20) != e21
| op2(e22,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[1],$fot(e21)]]) ).
cnf(refute_12_660,plain,
( e21 != e21
| h1(e11) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_12_658,refute_12_659]) ).
cnf(refute_12_661,plain,
( e21 != e21
| h1(e11) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_12_660,refute_12_653]) ).
cnf(refute_12_662,plain,
( h1(e11) = e21
| op2(e21,e20) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_469,refute_12_661]) ).
cnf(refute_12_663,plain,
( op2(e21,e20) != e20
| op2(e21,e20) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[0],$fot(e21)]]) ).
cnf(refute_12_664,plain,
( op2(e21,e20) != e20
| e21 = e20
| h1(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_12_662,refute_12_663]) ).
cnf(refute_12_665,plain,
( e21 = e20
| h1(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_12_623,refute_12_664]) ).
cnf(refute_12_666,plain,
e20 != e21,
inference(canonicalize,[],[normalize_12_101]) ).
cnf(refute_12_667,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_12_668,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_12_667,refute_12_666]) ).
cnf(refute_12_669,plain,
( h1(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_12_665,refute_12_668]) ).
cnf(refute_12_670,plain,
( e21 != e21
| h1(e11) = e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_12_669,refute_12_466]) ).
cnf(refute_12_671,plain,
( e21 != e21
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_12_670,refute_12_535]) ).
cnf(refute_12_672,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_469,refute_12_671]) ).
cnf(refute_12_673,plain,
op2(op2(e21,e20),op2(e21,e20)) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_12_672,refute_12_400]) ).
cnf(refute_12_674,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(canonicalize,[],[normalize_12_102]) ).
cnf(refute_12_675,plain,
( ~ definitionFOFtoCNF_3
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_12_399,refute_12_674]) ).
cnf(refute_12_676,plain,
op2(op2(e21,e23),op2(e21,e23)) = e23,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_12_672,refute_12_675]) ).
cnf(refute_12_677,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(canonicalize,[],[normalize_12_103]) ).
cnf(refute_12_678,plain,
op2(e21,h4(e13)) = op2(e21,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_12_679,plain,
( h4(e13) != e23
| op2(e21,h4(e13)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_12_680,plain,
( h4(e13) != e23
| op2(e21,h4(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_12_678,refute_12_679]) ).
cnf(refute_12_681,plain,
op2(e21,h4(e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_91,refute_12_680]) ).
cnf(refute_12_682,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_12_683,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_12_684,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) )],[refute_12_682,refute_12_683]) ).
cnf(refute_12_685,plain,
op2(h4(e11),h4(e13)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_12_169,refute_12_684]) ).
cnf(refute_12_686,plain,
( op2(e21,h4(e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) != op2(e21,h4(e13))
| op2(h4(e11),h4(e13)) = op2(e21,e23) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(e21,h4(e13)))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_12_687,plain,
( op2(e21,h4(e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,h4(e13))) )],[refute_12_685,refute_12_686]) ).
cnf(refute_12_688,plain,
op2(h4(e11),h4(e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e23)) )],[refute_12_681,refute_12_687]) ).
cnf(refute_12_689,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) != op2(e21,e23)
| h4(op1(e11,e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0],$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_12_690,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,e23)) )],[refute_12_688,refute_12_689]) ).
cnf(refute_12_691,plain,
h4(op1(e11,e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_12_677,refute_12_690]) ).
cnf(refute_12_692,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_12_104]) ).
cnf(refute_12_693,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_12_694,plain,
( op1(e10,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_12_222,refute_12_693]) ).
cnf(refute_12_695,plain,
( e12 = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_12_692,refute_12_694]) ).
cnf(refute_12_696,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).
cnf(refute_12_697,plain,
( op1(e13,e13) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_12_106,refute_12_696]) ).
cnf(refute_12_698,plain,
( e11 = e10
| e12 = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_12_695,refute_12_697]) ).
cnf(refute_12_699,plain,
e10 != e11,
inference(canonicalize,[],[normalize_12_106]) ).
cnf(refute_12_700,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_12_701,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_12_700,refute_12_699]) ).
cnf(refute_12_702,plain,
( e12 = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_12_698,refute_12_701]) ).
cnf(refute_12_703,plain,
e10 != e12,
inference(canonicalize,[],[normalize_12_107]) ).
cnf(refute_12_704,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_12_705,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_12_704,refute_12_703]) ).
cnf(refute_12_706,plain,
( op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_12_702,refute_12_705]) ).
cnf(refute_12_707,plain,
( h4(op1(e12,e13)) != op2(e22,e23)
| h4(e10) = op2(e22,e23)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_12_706,refute_12_513]) ).
cnf(refute_12_708,plain,
( h4(e10) = op2(e22,e23)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e22,e23)) )],[refute_12_486,refute_12_707]) ).
cnf(refute_12_709,plain,
( e20 = op2(e22,e23)
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e22,e23)) )],[refute_12_708,refute_12_517]) ).
cnf(refute_12_710,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_12_108]) ).
cnf(refute_12_711,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e22)]]) ).
cnf(refute_12_712,plain,
( op2(e20,e23) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_12_26,refute_12_711]) ).
cnf(refute_12_713,plain,
( e22 = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_12_710,refute_12_712]) ).
cnf(refute_12_714,plain,
( e21 = e23
| e22 = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_12_713,refute_12_509]) ).
cnf(refute_12_715,plain,
( e22 = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_12_714,refute_12_511]) ).
cnf(refute_12_716,plain,
e22 != e23,
inference(canonicalize,[],[normalize_12_109]) ).
cnf(refute_12_717,plain,
( op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_12_715,refute_12_716]) ).
cnf(refute_12_718,plain,
( e20 != op2(e22,e23)
| op2(e22,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e23) ),[0],$fot(op2(e22,e23))]]) ).
cnf(refute_12_719,plain,
( e20 != op2(e22,e23)
| e20 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_12_717,refute_12_718]) ).
cnf(refute_12_720,plain,
( e20 = e23
| op1(e11,e13) = e10
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e23)) )],[refute_12_709,refute_12_719]) ).
cnf(refute_12_721,plain,
e20 != e23,
inference(canonicalize,[],[normalize_12_110]) ).
cnf(refute_12_722,plain,
( op1(e11,e13) = e10
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_12_720,refute_12_721]) ).
cnf(refute_12_723,plain,
( op2(e21,e23) != e23
| op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(op2(e21,e23),e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_12_724,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e23
| op1(e11,e13) = e10
| op2(op2(e21,e23),e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_12_722,refute_12_723]) ).
cnf(refute_12_725,plain,
( op1(e11,e13) = e10
| op2(op2(e21,e23),e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) )],[refute_12_676,refute_12_724]) ).
cnf(refute_12_726,plain,
( op2(e21,e23) != e23
| op2(op2(e21,e23),e23) != e23
| op2(e23,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e23),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_12_727,plain,
( op2(op2(e21,e23),e23) != e23
| op1(e11,e13) = e10
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_12_722,refute_12_726]) ).
cnf(refute_12_728,plain,
( op1(e11,e13) = e10
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),e23) )],[refute_12_725,refute_12_727]) ).
cnf(refute_12_729,plain,
( e21 = e23
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_12_728,refute_12_509]) ).
cnf(refute_12_730,plain,
op1(e11,e13) = e10,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_12_729,refute_12_511]) ).
cnf(refute_12_731,plain,
h4(op1(e11,e13)) = h4(op1(e11,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e13)))]]) ).
cnf(refute_12_732,plain,
( h4(op1(e11,e13)) != h4(op1(e11,e13))
| op1(e11,e13) != e10
| h4(op1(e11,e13)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_12_733,plain,
( op1(e11,e13) != e10
| h4(op1(e11,e13)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) )],[refute_12_731,refute_12_732]) ).
cnf(refute_12_734,plain,
h4(op1(e11,e13)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_12_730,refute_12_733]) ).
cnf(refute_12_735,plain,
( h4(e10) != e20
| h4(op1(e11,e13)) != h4(e10)
| h4(op1(e11,e13)) = e20 ),
inference(subst,[],[refute_12_36:[bind(X,$fot(h4(op1(e11,e13)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_12_736,plain,
( h4(e10) != e20
| h4(op1(e11,e13)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(e10)) )],[refute_12_734,refute_12_735]) ).
cnf(refute_12_737,plain,
h4(op1(e11,e13)) = e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_12_86,refute_12_736]) ).
cnf(refute_12_738,plain,
( h4(op1(e11,e13)) != e20
| h4(op1(e11,e13)) != op2(e21,e23)
| e20 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0],$fot(e20)]]) ).
cnf(refute_12_739,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),e20) )],[refute_12_737,refute_12_738]) ).
cnf(refute_12_740,plain,
e20 = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_12_691,refute_12_739]) ).
cnf(refute_12_741,plain,
( e20 != op2(e21,e23)
| op2(e21,e23) = e20 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_12_742,plain,
op2(e21,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e23)) )],[refute_12_740,refute_12_741]) ).
cnf(refute_12_743,plain,
op2(e20,op2(e21,e23)) = op2(e20,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e23)))]]) ).
cnf(refute_12_744,plain,
( op2(e20,op2(e21,e23)) != op2(e20,op2(e21,e23))
| op2(e21,e23) != e20
| op2(e20,op2(e21,e23)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,op2(e21,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_12_745,plain,
( op2(e21,e23) != e20
| op2(e20,op2(e21,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,op2(e21,e23))) )],[refute_12_743,refute_12_744]) ).
cnf(refute_12_746,plain,
op2(e20,op2(e21,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_12_742,refute_12_745]) ).
cnf(refute_12_747,plain,
op2(op2(e21,e23),op2(e21,e23)) = op2(op2(e21,e23),op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),op2(e21,e23)))]]) ).
cnf(refute_12_748,plain,
( op2(e21,e23) != e20
| op2(op2(e21,e23),op2(e21,e23)) != op2(op2(e21,e23),op2(e21,e23))
| op2(op2(e21,e23),op2(e21,e23)) = op2(e20,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),op2(op2(e21,e23),op2(e21,e23))) ),[1,0],$fot(e20)]]) ).
cnf(refute_12_749,plain,
( op2(e21,e23) != e20
| op2(op2(e21,e23),op2(e21,e23)) = op2(e20,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),op2(op2(e21,e23),op2(e21,e23))) )],[refute_12_747,refute_12_748]) ).
cnf(refute_12_750,plain,
op2(op2(e21,e23),op2(e21,e23)) = op2(e20,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_12_742,refute_12_749]) ).
cnf(refute_12_751,plain,
( op2(e20,op2(e21,e23)) != op2(e20,e20)
| op2(op2(e21,e23),op2(e21,e23)) != op2(e20,op2(e21,e23))
| op2(op2(e21,e23),op2(e21,e23)) = op2(e20,e20) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(op2(e21,e23),op2(e21,e23)))),bind(Y,$fot(op2(e20,op2(e21,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_12_752,plain,
( op2(e20,op2(e21,e23)) != op2(e20,e20)
| op2(op2(e21,e23),op2(e21,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),op2(e20,op2(e21,e23))) )],[refute_12_750,refute_12_751]) ).
cnf(refute_12_753,plain,
op2(op2(e21,e23),op2(e21,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,e20)) )],[refute_12_746,refute_12_752]) ).
cnf(refute_12_754,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e21,e23),op2(e21,e23)) != op2(e20,e20)
| op2(op2(e21,e23),op2(e21,e23)) = h1(e11) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(op2(e21,e23),op2(e21,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_12_755,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e21,e23),op2(e21,e23)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),op2(e20,e20)) )],[refute_12_753,refute_12_754]) ).
cnf(refute_12_756,plain,
op2(op2(e21,e23),op2(e21,e23)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_12_308,refute_12_755]) ).
cnf(refute_12_757,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e23
| op2(op2(e21,e23),op2(e21,e23)) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_12_758,plain,
( op2(op2(e21,e23),op2(e21,e23)) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),h1(e11)) )],[refute_12_756,refute_12_757]) ).
cnf(refute_12_759,plain,
h1(e11) = e23,
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),op2(e21,e23)),e23) )],[refute_12_676,refute_12_758]) ).
cnf(refute_12_760,plain,
( h1(e11) != e21
| h1(e11) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[0],$fot(e23)]]) ).
cnf(refute_12_761,plain,
( h1(e11) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_12_759,refute_12_760]) ).
cnf(refute_12_762,plain,
( e23 = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_12_658,refute_12_761]) ).
cnf(refute_12_763,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(canonicalize,[],[normalize_12_111]) ).
cnf(refute_12_764,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_12_763,refute_12_314]) ).
cnf(refute_12_765,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_12_764,refute_12_145]) ).
cnf(refute_12_766,plain,
( h1(e11) != e20
| h1(e11) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[0],$fot(e23)]]) ).
cnf(refute_12_767,plain,
( h1(e11) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_12_759,refute_12_766]) ).
cnf(refute_12_768,plain,
( e23 = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_12_765,refute_12_767]) ).
cnf(refute_12_769,plain,
h1(e12) = op2(op2(e20,op2(e20,e20)),e20),
inference(canonicalize,[],[normalize_12_112]) ).
cnf(refute_12_770,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_12_113]) ).
cnf(refute_12_771,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = h1(e10) ),
inference(subst,[],[refute_12_7:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e20,op2(e20,e20))))]]) ).
cnf(refute_12_772,plain,
op2(e20,op2(e20,e20)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,op2(e20,e20))) )],[refute_12_770,refute_12_771]) ).
cnf(refute_12_773,plain,
op2(op2(e20,op2(e20,e20)),e20) = op2(op2(e20,op2(e20,e20)),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,op2(e20,e20)),e20))]]) ).
cnf(refute_12_774,plain,
( op2(e20,op2(e20,e20)) != h1(e10)
| op2(op2(e20,op2(e20,e20)),e20) != op2(op2(e20,op2(e20,e20)),e20)
| op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e10),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(op2(e20,op2(e20,e20)),e20)) ),[1,0],$fot(h1(e10))]]) ).
cnf(refute_12_775,plain,
( op2(e20,op2(e20,e20)) != h1(e10)
| op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e10),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(op2(e20,op2(e20,e20)),e20)) )],[refute_12_773,refute_12_774]) ).
cnf(refute_12_776,plain,
op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e10),e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),h1(e10)) )],[refute_12_772,refute_12_775]) ).
cnf(refute_12_777,plain,
( h1(e12) != op2(op2(e20,op2(e20,e20)),e20)
| op2(op2(e20,op2(e20,e20)),e20) != op2(h1(e10),e20)
| h1(e12) = op2(h1(e10),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e12),op2(h1(e10),e20)) ),[0],$fot(op2(op2(e20,op2(e20,e20)),e20))]]) ).
cnf(refute_12_778,plain,
( h1(e12) != op2(op2(e20,op2(e20,e20)),e20)
| h1(e12) = op2(h1(e10),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(h1(e10),e20)) )],[refute_12_776,refute_12_777]) ).
cnf(refute_12_779,plain,
h1(e12) = op2(h1(e10),e20),
inference(resolve,[$cnf( $equal(h1(e12),op2(op2(e20,op2(e20,e20)),e20)) )],[refute_12_769,refute_12_778]) ).
cnf(refute_12_780,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_12_781,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_12_782,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_12_780,refute_12_781]) ).
cnf(refute_12_783,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_12_308,refute_12_782]) ).
cnf(refute_12_784,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) != op2(e20,h1(e11))
| h1(e10) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e20,h1(e11))) ),[0],$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_12_785,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| h1(e10) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e11))) )],[refute_12_783,refute_12_784]) ).
cnf(refute_12_786,plain,
h1(e10) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,op2(e20,e20))) )],[refute_12_770,refute_12_785]) ).
cnf(refute_12_787,plain,
op2(e20,h1(e11)) = op2(e20,h1(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h1(e11)))]]) ).
cnf(refute_12_788,plain,
( h1(e11) != e23
| op2(e20,h1(e11)) != op2(e20,h1(e11))
| op2(e20,h1(e11)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_12_789,plain,
( h1(e11) != e23
| op2(e20,h1(e11)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,h1(e11))) )],[refute_12_787,refute_12_788]) ).
cnf(refute_12_790,plain,
op2(e20,h1(e11)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_12_759,refute_12_789]) ).
cnf(refute_12_791,plain,
( op2(e20,e23) != e22
| op2(e20,h1(e11)) != op2(e20,e23)
| op2(e20,h1(e11)) = e22 ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(e20,h1(e11)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_12_792,plain,
( op2(e20,e23) != e22
| op2(e20,h1(e11)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,e23)) )],[refute_12_790,refute_12_791]) ).
cnf(refute_12_793,plain,
op2(e20,h1(e11)) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_12_26,refute_12_792]) ).
cnf(refute_12_794,plain,
( h1(e10) != op2(e20,h1(e11))
| op2(e20,h1(e11)) != e22
| h1(e10) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e22) ),[0],$fot(op2(e20,h1(e11)))]]) ).
cnf(refute_12_795,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),e22) )],[refute_12_793,refute_12_794]) ).
cnf(refute_12_796,plain,
h1(e10) = e22,
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_12_786,refute_12_795]) ).
cnf(refute_12_797,plain,
op2(h1(e10),e20) = op2(h1(e10),e20),
introduced(tautology,[refl,[$fot(op2(h1(e10),e20))]]) ).
cnf(refute_12_798,plain,
( h1(e10) != e22
| op2(h1(e10),e20) != op2(h1(e10),e20)
| op2(h1(e10),e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e20),op2(h1(e10),e20)) ),[1,0],$fot(e22)]]) ).
cnf(refute_12_799,plain,
( h1(e10) != e22
| op2(h1(e10),e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e20),op2(h1(e10),e20)) )],[refute_12_797,refute_12_798]) ).
cnf(refute_12_800,plain,
op2(h1(e10),e20) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_12_796,refute_12_799]) ).
cnf(refute_12_801,plain,
( h1(e12) != op2(h1(e10),e20)
| op2(h1(e10),e20) != op2(e22,e20)
| h1(e12) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e12),op2(e22,e20)) ),[0],$fot(op2(h1(e10),e20))]]) ).
cnf(refute_12_802,plain,
( h1(e12) != op2(h1(e10),e20)
| h1(e12) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e20),op2(e22,e20)) )],[refute_12_800,refute_12_801]) ).
cnf(refute_12_803,plain,
h1(e12) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h1(e12),op2(h1(e10),e20)) )],[refute_12_779,refute_12_802]) ).
cnf(refute_12_804,plain,
( h1(e12) != op2(e22,e20)
| op2(e22,e20) = h1(e12) ),
inference(subst,[],[refute_12_7:[bind(X,$fot(h1(e12))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_12_805,plain,
op2(e22,e20) = h1(e12),
inference(resolve,[$cnf( $equal(h1(e12),op2(e22,e20)) )],[refute_12_803,refute_12_804]) ).
cnf(refute_12_806,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != h1(e12)
| h1(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(h1(e12))]]) ).
cnf(refute_12_807,plain,
( op2(e22,e20) != e20
| h1(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h1(e12)) )],[refute_12_805,refute_12_806]) ).
cnf(refute_12_808,plain,
( e23 = e20
| h1(e12) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_12_768,refute_12_807]) ).
cnf(refute_12_809,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_12_810,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_12_809,refute_12_721]) ).
cnf(refute_12_811,plain,
( h1(e12) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_12_808,refute_12_810]) ).
cnf(refute_12_812,plain,
op2(e21,e20) != op2(e21,e23),
inference(canonicalize,[],[normalize_12_114]) ).
cnf(refute_12_813,plain,
( op2(e21,e20) != e20
| op2(e21,e23) != e20
| op2(e21,e20) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_12_814,plain,
( op2(e21,e20) != e20
| op2(e21,e20) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_12_742,refute_12_813]) ).
cnf(refute_12_815,plain,
op2(e21,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e23)) )],[refute_12_814,refute_12_812]) ).
cnf(refute_12_816,plain,
h1(e12) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_12_811,refute_12_815]) ).
cnf(refute_12_817,plain,
( h1(e12) != e20
| op2(e22,e20) != h1(e12)
| op2(e22,e20) = e20 ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(e22,e20))),bind(Y,$fot(h1(e12))),bind(Z,$fot(e20))]]) ).
cnf(refute_12_818,plain,
( h1(e12) != e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h1(e12)) )],[refute_12_805,refute_12_817]) ).
cnf(refute_12_819,plain,
op2(e22,e20) = e20,
inference(resolve,[$cnf( $equal(h1(e12),e20) )],[refute_12_816,refute_12_818]) ).
cnf(refute_12_820,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[0],$fot(e20)]]) ).
cnf(refute_12_821,plain,
( op2(e22,e20) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_12_819,refute_12_820]) ).
cnf(refute_12_822,plain,
( e20 = e21
| e23 = e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_12_762,refute_12_821]) ).
cnf(refute_12_823,plain,
( e23 = e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_12_822,refute_12_666]) ).
cnf(refute_12_824,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_12_825,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_12_824,refute_12_511]) ).
cnf(refute_12_826,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_12_823,refute_12_825]) ).
cnf(refute_12_827,plain,
op2(e21,op2(e21,e20)) = op2(e21,op2(e21,e20)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e20)))]]) ).
cnf(refute_12_828,plain,
( op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) != op2(e21,op2(e21,e20))
| op2(e21,op2(e21,e20)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e20)),op2(e21,op2(e21,e20))) ),[1,1],$fot(e21)]]) ).
cnf(refute_12_829,plain,
( op2(e21,e20) != e21
| op2(e21,op2(e21,e20)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),op2(e21,op2(e21,e20))) )],[refute_12_827,refute_12_828]) ).
cnf(refute_12_830,plain,
op2(e21,op2(e21,e20)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_12_826,refute_12_829]) ).
cnf(refute_12_831,plain,
op2(op2(e21,e20),op2(e21,e20)) = op2(op2(e21,e20),op2(e21,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e20),op2(e21,e20)))]]) ).
cnf(refute_12_832,plain,
( op2(e21,e20) != e21
| op2(op2(e21,e20),op2(e21,e20)) != op2(op2(e21,e20),op2(e21,e20))
| op2(op2(e21,e20),op2(e21,e20)) = op2(e21,op2(e21,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),op2(e21,e20)),op2(op2(e21,e20),op2(e21,e20))) ),[1,0],$fot(e21)]]) ).
cnf(refute_12_833,plain,
( op2(e21,e20) != e21
| op2(op2(e21,e20),op2(e21,e20)) = op2(e21,op2(e21,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),op2(e21,e20)),op2(op2(e21,e20),op2(e21,e20))) )],[refute_12_831,refute_12_832]) ).
cnf(refute_12_834,plain,
op2(op2(e21,e20),op2(e21,e20)) = op2(e21,op2(e21,e20)),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_12_826,refute_12_833]) ).
cnf(refute_12_835,plain,
( op2(e21,op2(e21,e20)) != op2(e21,e21)
| op2(op2(e21,e20),op2(e21,e20)) != op2(e21,op2(e21,e20))
| op2(op2(e21,e20),op2(e21,e20)) = op2(e21,e21) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(op2(e21,e20),op2(e21,e20)))),bind(Y,$fot(op2(e21,op2(e21,e20)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_12_836,plain,
( op2(e21,op2(e21,e20)) != op2(e21,e21)
| op2(op2(e21,e20),op2(e21,e20)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),op2(e21,e20)),op2(e21,op2(e21,e20))) )],[refute_12_834,refute_12_835]) ).
cnf(refute_12_837,plain,
op2(op2(e21,e20),op2(e21,e20)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),op2(e21,e21)) )],[refute_12_830,refute_12_836]) ).
cnf(refute_12_838,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e21,e20),op2(e21,e20)) != op2(e21,e21)
| op2(op2(e21,e20),op2(e21,e20)) = h2(e11) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(op2(e21,e20),op2(e21,e20)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_12_839,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e21,e20),op2(e21,e20)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),op2(e21,e20)),op2(e21,e21)) )],[refute_12_837,refute_12_838]) ).
cnf(refute_12_840,plain,
op2(op2(e21,e20),op2(e21,e20)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_12_161,refute_12_839]) ).
cnf(refute_12_841,plain,
( op2(op2(e21,e20),op2(e21,e20)) != e20
| op2(op2(e21,e20),op2(e21,e20)) != h2(e11)
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),op2(e21,e20)),e20) ),[0],$fot(h2(e11))]]) ).
cnf(refute_12_842,plain,
( op2(op2(e21,e20),op2(e21,e20)) != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),op2(e21,e20)),h2(e11)) )],[refute_12_840,refute_12_841]) ).
cnf(refute_12_843,plain,
h2(e11) = e20,
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),op2(e21,e20)),e20) )],[refute_12_673,refute_12_842]) ).
cnf(refute_12_844,plain,
( h2(e11) != e20
| h2(e11) != op2(e21,e21)
| e20 = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,e21)) ),[0],$fot(e20)]]) ).
cnf(refute_12_845,plain,
( h2(e11) != op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_12_843,refute_12_844]) ).
cnf(refute_12_846,plain,
e20 = op2(e21,e21),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_12_1,refute_12_845]) ).
cnf(refute_12_847,plain,
( e20 != op2(e21,e21)
| op2(e21,e21) = e20 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_12_848,plain,
op2(e21,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e21)) )],[refute_12_846,refute_12_847]) ).
cnf(refute_12_849,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(op2(e21,e21),op2(e21,e21)) = e21 ),
inference(canonicalize,[],[normalize_12_115]) ).
cnf(refute_12_850,plain,
op2(h2(e11),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e11),op2(e21,e21)))]]) ).
cnf(refute_12_851,plain,
( op2(e21,e21) != h2(e11)
| op2(h2(e11),op2(e21,e21)) != op2(h2(e11),op2(e21,e21))
| op2(h2(e11),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),op2(e21,e21)),op2(h2(e11),op2(e21,e21))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_12_852,plain,
( op2(e21,e21) != h2(e11)
| op2(h2(e11),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),op2(e21,e21)),op2(h2(e11),op2(e21,e21))) )],[refute_12_850,refute_12_851]) ).
cnf(refute_12_853,plain,
op2(h2(e11),op2(e21,e21)) = op2(h2(e11),h2(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_12_161,refute_12_852]) ).
cnf(refute_12_854,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_12_855,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e11))]]) ).
cnf(refute_12_856,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_12_854,refute_12_855]) ).
cnf(refute_12_857,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_12_161,refute_12_856]) ).
cnf(refute_12_858,plain,
( op2(h2(e11),op2(e21,e21)) != op2(h2(e11),h2(e11))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e11),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e11),op2(e21,e21)))),bind(Z,$fot(op2(h2(e11),h2(e11))))]]) ).
cnf(refute_12_859,plain,
( op2(h2(e11),op2(e21,e21)) != op2(h2(e11),h2(e11))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e11),op2(e21,e21))) )],[refute_12_857,refute_12_858]) ).
cnf(refute_12_860,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e11),h2(e11)),
inference(resolve,[$cnf( $equal(op2(h2(e11),op2(e21,e21)),op2(h2(e11),h2(e11))) )],[refute_12_853,refute_12_859]) ).
cnf(refute_12_861,plain,
( op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e11),h2(e11))
| op2(h2(e11),h2(e11)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),e21) ),[0],$fot(op2(h2(e11),h2(e11)))]]) ).
cnf(refute_12_862,plain,
( op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(h2(e11),h2(e11)) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e11),h2(e11))) )],[refute_12_860,refute_12_861]) ).
cnf(refute_12_863,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(h2(e11),h2(e11)) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),e21) )],[refute_12_849,refute_12_862]) ).
cnf(refute_12_864,plain,
( ~ definitionFOFtoCNF_3
| op2(h2(e11),h2(e11)) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_12_399,refute_12_863]) ).
cnf(refute_12_865,plain,
op2(h2(e11),h2(e11)) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_12_672,refute_12_864]) ).
cnf(refute_12_866,plain,
( h1(e11) != e23
| h1(e11) != op2(e20,e20)
| e23 = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e20,e20)) ),[0],$fot(e23)]]) ).
cnf(refute_12_867,plain,
( h1(e11) != op2(e20,e20)
| e23 = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_12_759,refute_12_866]) ).
cnf(refute_12_868,plain,
e23 = op2(e20,e20),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_12_306,refute_12_867]) ).
cnf(refute_12_869,plain,
( e23 != op2(e20,e20)
| op2(e20,e20) = e23 ),
inference(subst,[],[refute_12_7:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_12_870,plain,
op2(e20,e20) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e20,e20)) )],[refute_12_868,refute_12_869]) ).
cnf(refute_12_871,plain,
op2(e20,h2(e11)) = op2(e20,h2(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h2(e11)))]]) ).
cnf(refute_12_872,plain,
( h2(e11) != e20
| op2(e20,h2(e11)) != op2(e20,h2(e11))
| op2(e20,h2(e11)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h2(e11)),op2(e20,h2(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_12_873,plain,
( h2(e11) != e20
| op2(e20,h2(e11)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h2(e11)),op2(e20,h2(e11))) )],[refute_12_871,refute_12_872]) ).
cnf(refute_12_874,plain,
op2(e20,h2(e11)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_12_843,refute_12_873]) ).
cnf(refute_12_875,plain,
op2(h2(e11),h2(e11)) = op2(h2(e11),h2(e11)),
introduced(tautology,[refl,[$fot(op2(h2(e11),h2(e11)))]]) ).
cnf(refute_12_876,plain,
( h2(e11) != e20
| op2(h2(e11),h2(e11)) != op2(h2(e11),h2(e11))
| op2(h2(e11),h2(e11)) = op2(e20,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),h2(e11)),op2(h2(e11),h2(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_12_877,plain,
( h2(e11) != e20
| op2(h2(e11),h2(e11)) = op2(e20,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),h2(e11)),op2(h2(e11),h2(e11))) )],[refute_12_875,refute_12_876]) ).
cnf(refute_12_878,plain,
op2(h2(e11),h2(e11)) = op2(e20,h2(e11)),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_12_843,refute_12_877]) ).
cnf(refute_12_879,plain,
( op2(e20,h2(e11)) != op2(e20,e20)
| op2(h2(e11),h2(e11)) != op2(e20,h2(e11))
| op2(h2(e11),h2(e11)) = op2(e20,e20) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(h2(e11),h2(e11)))),bind(Y,$fot(op2(e20,h2(e11)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_12_880,plain,
( op2(e20,h2(e11)) != op2(e20,e20)
| op2(h2(e11),h2(e11)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),h2(e11)),op2(e20,h2(e11))) )],[refute_12_878,refute_12_879]) ).
cnf(refute_12_881,plain,
op2(h2(e11),h2(e11)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h2(e11)),op2(e20,e20)) )],[refute_12_874,refute_12_880]) ).
cnf(refute_12_882,plain,
( op2(e20,e20) != e23
| op2(h2(e11),h2(e11)) != op2(e20,e20)
| op2(h2(e11),h2(e11)) = e23 ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(h2(e11),h2(e11)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e23))]]) ).
cnf(refute_12_883,plain,
( op2(e20,e20) != e23
| op2(h2(e11),h2(e11)) = e23 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),h2(e11)),op2(e20,e20)) )],[refute_12_881,refute_12_882]) ).
cnf(refute_12_884,plain,
op2(h2(e11),h2(e11)) = e23,
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_12_870,refute_12_883]) ).
cnf(refute_12_885,plain,
( op2(h2(e11),h2(e11)) != e21
| op2(h2(e11),h2(e11)) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),h2(e11)),e21) ),[0],$fot(e23)]]) ).
cnf(refute_12_886,plain,
( op2(h2(e11),h2(e11)) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),h2(e11)),e23) )],[refute_12_884,refute_12_885]) ).
cnf(refute_12_887,plain,
e23 = e21,
inference(resolve,[$cnf( $equal(op2(h2(e11),h2(e11)),e21) )],[refute_12_865,refute_12_886]) ).
cnf(refute_12_888,plain,
op2(e21,e23) = op2(e21,e23),
introduced(tautology,[refl,[$fot(op2(e21,e23))]]) ).
cnf(refute_12_889,plain,
( e23 != e21
| op2(e21,e23) != op2(e21,e23)
| op2(e21,e23) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),op2(e21,e23)) ),[1,1],$fot(e21)]]) ).
cnf(refute_12_890,plain,
( e23 != e21
| op2(e21,e23) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e21,e23)) )],[refute_12_888,refute_12_889]) ).
cnf(refute_12_891,plain,
op2(e21,e23) = op2(e21,e21),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_12_887,refute_12_890]) ).
cnf(refute_12_892,plain,
op2(e23,e23) = op2(e23,e23),
introduced(tautology,[refl,[$fot(op2(e23,e23))]]) ).
cnf(refute_12_893,plain,
( e23 != e21
| op2(e23,e23) != op2(e23,e23)
| op2(e23,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),op2(e23,e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_12_894,plain,
( e23 != e21
| op2(e23,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),op2(e23,e23)) )],[refute_12_892,refute_12_893]) ).
cnf(refute_12_895,plain,
op2(e23,e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_12_887,refute_12_894]) ).
cnf(refute_12_896,plain,
( op2(e21,e23) != op2(e21,e21)
| op2(e23,e23) != op2(e21,e23)
| op2(e23,e23) = op2(e21,e21) ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_12_897,plain,
( op2(e21,e23) != op2(e21,e21)
| op2(e23,e23) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),op2(e21,e23)) )],[refute_12_895,refute_12_896]) ).
cnf(refute_12_898,plain,
op2(e23,e23) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e21,e21)) )],[refute_12_891,refute_12_897]) ).
cnf(refute_12_899,plain,
( op2(e21,e21) != e20
| op2(e23,e23) != op2(e21,e21)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_12_36:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(e20))]]) ).
cnf(refute_12_900,plain,
( op2(e21,e21) != e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),op2(e21,e21)) )],[refute_12_898,refute_12_899]) ).
cnf(refute_12_901,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_12_848,refute_12_900]) ).
cnf(refute_12_902,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) != e20
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e20) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_12_903,plain,
( e21 != op2(e23,e23)
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_12_901,refute_12_902]) ).
cnf(refute_12_904,plain,
e21 = e20,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_12_0,refute_12_903]) ).
cnf(refute_12_905,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_12_904,refute_12_668]) ).
fof(negate_13_0,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 )
& ( 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)) ),
inference(negate,[],[subgoal_13]) ).
fof(normalize_13_0,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
& 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))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_13_0]) ).
fof(normalize_13_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_13_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_13_1]) ).
fof(normalize_13_3,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_13_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_13_3]) ).
fof(normalize_13_5,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_13_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_13_5]) ).
fof(normalize_13_7,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
& 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))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_13_0,normalize_13_2,normalize_13_4,normalize_13_6]) ).
fof(normalize_13_8,plain,
h4(op1(e13,e11)) != op2(h4(e13),h4(e11)),
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_9,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_13_10,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_13_9]) ).
fof(normalize_13_11,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_13_12,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_13,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_13_14,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_13_13]) ).
fof(normalize_13_15,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_13_13]) ).
fof(normalize_13_16,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_17,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_13_9]) ).
fof(normalize_13_18,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_13_9]) ).
cnf(refute_13_0,plain,
h4(op1(e13,e11)) != op2(h4(e13),h4(e11)),
inference(canonicalize,[],[normalize_13_8]) ).
cnf(refute_13_1,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_13_10]) ).
cnf(refute_13_2,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_13_12]) ).
cnf(refute_13_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_13_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_13_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_13_3,refute_13_4]) ).
cnf(refute_13_6,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_13_7,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_13_2,refute_13_6]) ).
cnf(refute_13_8,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_13_9,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_13_7,refute_13_8]) ).
cnf(refute_13_10,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_13_1,refute_13_9]) ).
cnf(refute_13_11,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_13_14]) ).
cnf(refute_13_12,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_13_15]) ).
cnf(refute_13_13,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_13_14,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_13_12,refute_13_13]) ).
cnf(refute_13_15,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_13_16,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_13_17,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_13_15,refute_13_16]) ).
cnf(refute_13_18,plain,
op1(e13,op1(e13,e13)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_13_14,refute_13_17]) ).
cnf(refute_13_19,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e11)
| e10 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_13_20,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e11)) )],[refute_13_18,refute_13_19]) ).
cnf(refute_13_21,plain,
e10 = op1(e13,e11),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_13_11,refute_13_20]) ).
cnf(refute_13_22,plain,
( e10 != op1(e13,e11)
| op1(e13,e11) = e10 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_13_23,plain,
op1(e13,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e11)) )],[refute_13_21,refute_13_22]) ).
cnf(refute_13_24,plain,
h4(op1(e13,e11)) = h4(op1(e13,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e11)))]]) ).
cnf(refute_13_25,plain,
( h4(op1(e13,e11)) != h4(op1(e13,e11))
| op1(e13,e11) != e10
| h4(op1(e13,e11)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),h4(op1(e13,e11))) ),[1,0],$fot(e10)]]) ).
cnf(refute_13_26,plain,
( op1(e13,e11) != e10
| h4(op1(e13,e11)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h4(op1(e13,e11))) )],[refute_13_24,refute_13_25]) ).
cnf(refute_13_27,plain,
h4(op1(e13,e11)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_13_23,refute_13_26]) ).
cnf(refute_13_28,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_13_29,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_13_5,refute_13_28]) ).
cnf(refute_13_30,plain,
( h4(e10) != e20
| h4(op1(e13,e11)) != h4(e10)
| h4(op1(e13,e11)) = e20 ),
inference(subst,[],[refute_13_29:[bind(X,$fot(h4(op1(e13,e11)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_13_31,plain,
( h4(e10) != e20
| h4(op1(e13,e11)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h4(e10)) )],[refute_13_27,refute_13_30]) ).
cnf(refute_13_32,plain,
h4(op1(e13,e11)) = e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_13_10,refute_13_31]) ).
cnf(refute_13_33,plain,
( e20 != op2(h4(e13),h4(e11))
| h4(op1(e13,e11)) != e20
| h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),e20) ),[1],$fot(op2(h4(e13),h4(e11)))]]) ).
cnf(refute_13_34,plain,
( e20 != op2(h4(e13),h4(e11))
| h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),e20) )],[refute_13_32,refute_13_33]) ).
cnf(refute_13_35,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_13_16]) ).
cnf(refute_13_36,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_13_37,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_13_35,refute_13_36]) ).
cnf(refute_13_38,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_13_39,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_40,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_13_38,refute_13_39]) ).
cnf(refute_13_41,plain,
op2(e23,op2(e23,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_37,refute_13_40]) ).
cnf(refute_13_42,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e21)
| e20 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_13_43,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e21)) )],[refute_13_41,refute_13_42]) ).
cnf(refute_13_44,plain,
e20 = op2(e23,e21),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_13_2,refute_13_43]) ).
cnf(refute_13_45,plain,
( e20 != op2(e23,e21)
| op2(e23,e21) = e20 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_13_46,plain,
op2(e23,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_13_44,refute_13_45]) ).
cnf(refute_13_47,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_13_17]) ).
cnf(refute_13_48,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_13_49,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_37,refute_13_48]) ).
cnf(refute_13_50,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_13_47,refute_13_49]) ).
cnf(refute_13_51,plain,
op2(e23,h4(e11)) = op2(e23,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e11)))]]) ).
cnf(refute_13_52,plain,
( h4(e11) != e21
| op2(e23,h4(e11)) != op2(e23,h4(e11))
| op2(e23,h4(e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_53,plain,
( h4(e11) != e21
| op2(e23,h4(e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) )],[refute_13_51,refute_13_52]) ).
cnf(refute_13_54,plain,
op2(e23,h4(e11)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_50,refute_13_53]) ).
cnf(refute_13_55,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_13_18]) ).
cnf(refute_13_56,plain,
op2(h4(e13),h4(e11)) = op2(h4(e13),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e11)))]]) ).
cnf(refute_13_57,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e11)) != op2(h4(e13),h4(e11))
| op2(h4(e13),h4(e11)) = op2(e23,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(h4(e13),h4(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_13_58,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e11)) = op2(e23,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(h4(e13),h4(e11))) )],[refute_13_56,refute_13_57]) ).
cnf(refute_13_59,plain,
op2(h4(e13),h4(e11)) = op2(e23,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_13_55,refute_13_58]) ).
cnf(refute_13_60,plain,
( op2(e23,h4(e11)) != op2(e23,e21)
| op2(h4(e13),h4(e11)) != op2(e23,h4(e11))
| op2(h4(e13),h4(e11)) = op2(e23,e21) ),
inference(subst,[],[refute_13_29:[bind(X,$fot(op2(h4(e13),h4(e11)))),bind(Y,$fot(op2(e23,h4(e11)))),bind(Z,$fot(op2(e23,e21)))]]) ).
cnf(refute_13_61,plain,
( op2(e23,h4(e11)) != op2(e23,e21)
| op2(h4(e13),h4(e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e23,h4(e11))) )],[refute_13_59,refute_13_60]) ).
cnf(refute_13_62,plain,
op2(h4(e13),h4(e11)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,e21)) )],[refute_13_54,refute_13_61]) ).
cnf(refute_13_63,plain,
( op2(e23,e21) != e20
| op2(h4(e13),h4(e11)) != op2(e23,e21)
| op2(h4(e13),h4(e11)) = e20 ),
inference(subst,[],[refute_13_29:[bind(X,$fot(op2(h4(e13),h4(e11)))),bind(Y,$fot(op2(e23,e21))),bind(Z,$fot(e20))]]) ).
cnf(refute_13_64,plain,
( op2(e23,e21) != e20
| op2(h4(e13),h4(e11)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e23,e21)) )],[refute_13_62,refute_13_63]) ).
cnf(refute_13_65,plain,
op2(h4(e13),h4(e11)) = e20,
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_13_46,refute_13_64]) ).
cnf(refute_13_66,plain,
( e20 != e20
| op2(h4(e13),h4(e11)) != e20
| e20 = op2(h4(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(h4(e13),h4(e11))) ),[1],$fot(e20)]]) ).
cnf(refute_13_67,plain,
( e20 != e20
| e20 = op2(h4(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),e20) )],[refute_13_65,refute_13_66]) ).
cnf(refute_13_68,plain,
( e20 != e20
| h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(e20,op2(h4(e13),h4(e11))) )],[refute_13_67,refute_13_34]) ).
cnf(refute_13_69,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(h4(e13),h4(e11))) )],[refute_13_68,refute_13_0]) ).
cnf(refute_13_70,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_13_71,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_13_70,refute_13_69]) ).
fof(negate_14_0,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 )
& ( 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)) ),
inference(negate,[],[subgoal_14]) ).
fof(normalize_14_0,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,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) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_14_1,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_2,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_14_3,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_4,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_5,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_14_6,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_14_5]) ).
fof(normalize_14_7,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_8,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_14_5]) ).
fof(normalize_14_9,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_10,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_11,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_12,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
& 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))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_14_0]) ).
fof(normalize_14_13,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_14_14,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_14_13]) ).
fof(normalize_14_15,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_14_16,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_14_15]) ).
fof(normalize_14_17,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_14_18,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_14_17]) ).
fof(normalize_14_19,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
& 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))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_14_12,normalize_14_14,normalize_14_16,normalize_14_18]) ).
fof(normalize_14_20,plain,
h4(op1(e13,e10)) = op2(h4(e13),h4(e10)),
inference(conjunct,[],[normalize_14_19]) ).
fof(normalize_14_21,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_14_22,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_14_21]) ).
fof(normalize_14_23,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_14_21]) ).
fof(normalize_14_24,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_14_21]) ).
fof(normalize_14_25,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_14_5]) ).
fof(normalize_14_26,plain,
( ( 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 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_14_27,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_14_26]) ).
fof(normalize_14_28,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,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) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_14_29,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_14_28]) ).
fof(normalize_14_30,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_14_31,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_14_30]) ).
fof(normalize_14_32,plain,
op1(e13,e10) != op1(e13,e11),
inference(conjunct,[],[normalize_14_28]) ).
fof(normalize_14_33,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_14_30]) ).
fof(normalize_14_34,plain,
h4(op1(e13,e12)) != op2(h4(e13),h4(e12)),
inference(conjunct,[],[normalize_14_19]) ).
fof(normalize_14_35,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_14_28]) ).
fof(normalize_14_36,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_14_26]) ).
fof(normalize_14_37,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_14_28]) ).
fof(normalize_14_38,plain,
op1(e13,e11) != op1(e13,e12),
inference(conjunct,[],[normalize_14_28]) ).
fof(normalize_14_39,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_14_40,plain,
e22 != e23,
inference(conjunct,[],[normalize_14_39]) ).
fof(normalize_14_41,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_14_42,plain,
e12 != e13,
inference(conjunct,[],[normalize_14_41]) ).
cnf(refute_14_0,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_14_1]) ).
cnf(refute_14_1,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_14_3]) ).
cnf(refute_14_2,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_14_4]) ).
cnf(refute_14_3,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_14_6]) ).
cnf(refute_14_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_14_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_14_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_14_4,refute_14_5]) ).
cnf(refute_14_7,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_14_8,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_14_3,refute_14_7]) ).
cnf(refute_14_9,plain,
( op2(e23,e20) != e21
| op2(e23,e23) != e21
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_14_10,plain,
( op2(e23,e20) != e21
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_8,refute_14_9]) ).
cnf(refute_14_11,plain,
op2(e23,e20) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_14_10,refute_14_2]) ).
cnf(refute_14_12,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_14_1,refute_14_11]) ).
cnf(refute_14_13,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_14_7]) ).
cnf(refute_14_14,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_14_8]) ).
cnf(refute_14_15,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_14_16,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_14_17,plain,
( op2(e23,e23) != e21
| op2(e23,op2(e23,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_14_15,refute_14_16]) ).
cnf(refute_14_18,plain,
op2(e23,op2(e23,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_8,refute_14_17]) ).
cnf(refute_14_19,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e21)
| e20 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_14_20,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e21)) )],[refute_14_18,refute_14_19]) ).
cnf(refute_14_21,plain,
e20 = op2(e23,e21),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_14_14,refute_14_20]) ).
cnf(refute_14_22,plain,
( e20 != op2(e23,e21)
| op2(e23,e21) = e20 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_14_23,plain,
op2(e23,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_14_21,refute_14_22]) ).
cnf(refute_14_24,plain,
( op2(e23,e20) != e20
| op2(e23,e21) != e20
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_14_25,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_14_23,refute_14_24]) ).
cnf(refute_14_26,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_14_25,refute_14_13]) ).
cnf(refute_14_27,plain,
( op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_14_12,refute_14_26]) ).
cnf(refute_14_28,plain,
( e22 != op2(e23,e22)
| op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_14_29,plain,
( e22 != op2(e23,e22)
| op2(e23,e20) = e23
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_14_27,refute_14_28]) ).
cnf(refute_14_30,plain,
( e22 != op2(e23,e22)
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_14_29,refute_14_0]) ).
cnf(refute_14_31,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_14_9]) ).
cnf(refute_14_32,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_14_10]) ).
cnf(refute_14_33,plain,
( op2(e23,e22) != e21
| op2(e23,e23) != e21
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_14_34,plain,
( op2(e23,e22) != e21
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_8,refute_14_33]) ).
cnf(refute_14_35,plain,
op2(e23,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_14_34,refute_14_32]) ).
cnf(refute_14_36,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_14_31,refute_14_35]) ).
cnf(refute_14_37,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_14_11]) ).
cnf(refute_14_38,plain,
( e20 != op2(e23,e22)
| op2(e23,e21) != e20
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e20) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_14_39,plain,
( e20 != op2(e23,e22)
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_14_23,refute_14_38]) ).
cnf(refute_14_40,plain,
e20 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_14_39,refute_14_37]) ).
cnf(refute_14_41,plain,
( op2(e23,e22) != e20
| e20 = op2(e23,e22) ),
inference(subst,[],[refute_14_6:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e20))]]) ).
cnf(refute_14_42,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_14_41,refute_14_40]) ).
cnf(refute_14_43,plain,
( op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_14_36,refute_14_42]) ).
cnf(refute_14_44,plain,
( e22 != e22
| op2(e23,e22) != e22
| e22 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_14_45,plain,
( e22 != e22
| e22 = op2(e23,e22)
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_14_43,refute_14_44]) ).
cnf(refute_14_46,plain,
( e22 != e22
| op2(e23,e20) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e22)) )],[refute_14_45,refute_14_30]) ).
cnf(refute_14_47,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_14_48,plain,
( op2(e23,e20) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_14_47,refute_14_46]) ).
cnf(refute_14_49,plain,
h4(op1(e13,e10)) = op2(h4(e13),h4(e10)),
inference(canonicalize,[],[normalize_14_20]) ).
cnf(refute_14_50,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_14_22]) ).
cnf(refute_14_51,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_14_52,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_14_14,refute_14_51]) ).
cnf(refute_14_53,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_14_54,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_14_52,refute_14_53]) ).
cnf(refute_14_55,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_14_50,refute_14_54]) ).
cnf(refute_14_56,plain,
op2(e23,h4(e10)) = op2(e23,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e10)))]]) ).
cnf(refute_14_57,plain,
( h4(e10) != e20
| op2(e23,h4(e10)) != op2(e23,h4(e10))
| op2(e23,h4(e10)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_14_58,plain,
( h4(e10) != e20
| op2(e23,h4(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) )],[refute_14_56,refute_14_57]) ).
cnf(refute_14_59,plain,
op2(e23,h4(e10)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_14_55,refute_14_58]) ).
cnf(refute_14_60,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_14_23]) ).
cnf(refute_14_61,plain,
op2(h4(e13),h4(e10)) = op2(h4(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e10)))]]) ).
cnf(refute_14_62,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e10)) != op2(h4(e13),h4(e10))
| op2(h4(e13),h4(e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_14_63,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e10)) = op2(e23,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) )],[refute_14_61,refute_14_62]) ).
cnf(refute_14_64,plain,
op2(h4(e13),h4(e10)) = op2(e23,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_14_60,refute_14_63]) ).
cnf(refute_14_65,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_14_66,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_14_6,refute_14_65]) ).
cnf(refute_14_67,plain,
( op2(e23,h4(e10)) != op2(e23,e20)
| op2(h4(e13),h4(e10)) != op2(e23,h4(e10))
| op2(h4(e13),h4(e10)) = op2(e23,e20) ),
inference(subst,[],[refute_14_66:[bind(X,$fot(op2(h4(e13),h4(e10)))),bind(Y,$fot(op2(e23,h4(e10)))),bind(Z,$fot(op2(e23,e20)))]]) ).
cnf(refute_14_68,plain,
( op2(e23,h4(e10)) != op2(e23,e20)
| op2(h4(e13),h4(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e23,h4(e10))) )],[refute_14_64,refute_14_67]) ).
cnf(refute_14_69,plain,
op2(h4(e13),h4(e10)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,e20)) )],[refute_14_59,refute_14_68]) ).
cnf(refute_14_70,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| op2(h4(e13),h4(e10)) != op2(e23,e20)
| h4(op1(e13,e10)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),op2(e23,e20)) ),[0],$fot(op2(h4(e13),h4(e10)))]]) ).
cnf(refute_14_71,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e23,e20)) )],[refute_14_69,refute_14_70]) ).
cnf(refute_14_72,plain,
h4(op1(e13,e10)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(h4(e13),h4(e10))) )],[refute_14_49,refute_14_71]) ).
cnf(refute_14_73,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_14_24]) ).
cnf(refute_14_74,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_14_25]) ).
cnf(refute_14_75,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_14_76,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_14_77,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_14_75,refute_14_76]) ).
cnf(refute_14_78,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_14_52,refute_14_77]) ).
cnf(refute_14_79,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_14_80,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_14_78,refute_14_79]) ).
cnf(refute_14_81,plain,
e22 = op2(e20,e23),
inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),e23)) )],[refute_14_74,refute_14_80]) ).
cnf(refute_14_82,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_14_83,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_14_81,refute_14_82]) ).
cnf(refute_14_84,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(subst,[],[refute_14_66:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_14_85,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_14_78,refute_14_84]) ).
cnf(refute_14_86,plain,
op2(op2(e23,op2(e23,e23)),e23) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_14_83,refute_14_85]) ).
cnf(refute_14_87,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_14_88,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),e22) )],[refute_14_86,refute_14_87]) ).
cnf(refute_14_89,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_14_73,refute_14_88]) ).
cnf(refute_14_90,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_14_27]) ).
cnf(refute_14_91,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_14_29]) ).
cnf(refute_14_92,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_14_31]) ).
cnf(refute_14_93,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_14_94,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_14_92,refute_14_93]) ).
cnf(refute_14_95,plain,
( op1(e13,e10) != e11
| op1(e13,e13) != e11
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_14_96,plain,
( op1(e13,e10) != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_14_94,refute_14_95]) ).
cnf(refute_14_97,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_14_96,refute_14_91]) ).
cnf(refute_14_98,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_14_90,refute_14_97]) ).
cnf(refute_14_99,plain,
op1(e13,e10) != op1(e13,e11),
inference(canonicalize,[],[normalize_14_32]) ).
cnf(refute_14_100,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_14_33]) ).
cnf(refute_14_101,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_14_102,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_14_103,plain,
( op1(e13,e13) != e11
| op1(e13,op1(e13,e13)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_14_101,refute_14_102]) ).
cnf(refute_14_104,plain,
op1(e13,op1(e13,e13)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_14_94,refute_14_103]) ).
cnf(refute_14_105,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e11)
| e10 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_14_106,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e11)) )],[refute_14_104,refute_14_105]) ).
cnf(refute_14_107,plain,
e10 = op1(e13,e11),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_14_100,refute_14_106]) ).
cnf(refute_14_108,plain,
( e10 != op1(e13,e11)
| op1(e13,e11) = e10 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_14_109,plain,
op1(e13,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e11)) )],[refute_14_107,refute_14_108]) ).
cnf(refute_14_110,plain,
( op1(e13,e10) != e10
| op1(e13,e11) != e10
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_14_111,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_14_109,refute_14_110]) ).
cnf(refute_14_112,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_14_111,refute_14_99]) ).
cnf(refute_14_113,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_14_98,refute_14_112]) ).
cnf(refute_14_114,plain,
( h4(op1(e13,e10)) != op2(e23,e20)
| op1(e13,e10) != e13
| h4(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),op2(e23,e20)) ),[0,0],$fot(e13)]]) ).
cnf(refute_14_115,plain,
( h4(op1(e13,e10)) != op2(e23,e20)
| h4(e13) = op2(e23,e20)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_14_113,refute_14_114]) ).
cnf(refute_14_116,plain,
( h4(e13) = op2(e23,e20)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e23,e20)) )],[refute_14_72,refute_14_115]) ).
cnf(refute_14_117,plain,
( h4(e13) != e23
| h4(e13) != op2(e23,e20)
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e20)) ),[0],$fot(e23)]]) ).
cnf(refute_14_118,plain,
( h4(e13) != op2(e23,e20)
| e23 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_14_60,refute_14_117]) ).
cnf(refute_14_119,plain,
( e23 = op2(e23,e20)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e20)) )],[refute_14_116,refute_14_118]) ).
cnf(refute_14_120,plain,
( e23 != op2(e23,e20)
| op2(e23,e20) = e23 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_14_121,plain,
( op1(e13,e10) = e12
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_14_119,refute_14_120]) ).
cnf(refute_14_122,plain,
( e23 != op2(e23,e22)
| op2(e23,e20) != e23
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_14_123,plain,
( e23 != op2(e23,e22)
| op1(e13,e10) = e12
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_14_121,refute_14_122]) ).
cnf(refute_14_124,plain,
( e23 != op2(e23,e22)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_14_123,refute_14_0]) ).
cnf(refute_14_125,plain,
h4(op1(e13,e12)) != op2(h4(e13),h4(e12)),
inference(canonicalize,[],[normalize_14_34]) ).
cnf(refute_14_126,plain,
op2(e23,h4(e12)) = op2(e23,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e12)))]]) ).
cnf(refute_14_127,plain,
( h4(e12) != e22
| op2(e23,h4(e12)) != op2(e23,h4(e12))
| op2(e23,h4(e12)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_14_128,plain,
( h4(e12) != e22
| op2(e23,h4(e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,h4(e12))) )],[refute_14_126,refute_14_127]) ).
cnf(refute_14_129,plain,
op2(e23,h4(e12)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_14_89,refute_14_128]) ).
cnf(refute_14_130,plain,
op2(h4(e13),h4(e12)) = op2(h4(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e12)))]]) ).
cnf(refute_14_131,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e12)) != op2(h4(e13),h4(e12))
| op2(h4(e13),h4(e12)) = op2(e23,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(h4(e13),h4(e12))) ),[1,0],$fot(e23)]]) ).
cnf(refute_14_132,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e12)) = op2(e23,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(h4(e13),h4(e12))) )],[refute_14_130,refute_14_131]) ).
cnf(refute_14_133,plain,
op2(h4(e13),h4(e12)) = op2(e23,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_14_60,refute_14_132]) ).
cnf(refute_14_134,plain,
( op2(e23,h4(e12)) != op2(e23,e22)
| op2(h4(e13),h4(e12)) != op2(e23,h4(e12))
| op2(h4(e13),h4(e12)) = op2(e23,e22) ),
inference(subst,[],[refute_14_66:[bind(X,$fot(op2(h4(e13),h4(e12)))),bind(Y,$fot(op2(e23,h4(e12)))),bind(Z,$fot(op2(e23,e22)))]]) ).
cnf(refute_14_135,plain,
( op2(e23,h4(e12)) != op2(e23,e22)
| op2(h4(e13),h4(e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(e23,h4(e12))) )],[refute_14_133,refute_14_134]) ).
cnf(refute_14_136,plain,
op2(h4(e13),h4(e12)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,e22)) )],[refute_14_129,refute_14_135]) ).
cnf(refute_14_137,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| op2(h4(e13),h4(e12)) != op2(e23,e22)
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e12)),op2(h4(e13),h4(e12))) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_14_138,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(e23,e22)) )],[refute_14_136,refute_14_137]) ).
cnf(refute_14_139,plain,
h4(op1(e13,e12)) != op2(e23,e22),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),op2(h4(e13),h4(e12))) )],[refute_14_138,refute_14_125]) ).
cnf(refute_14_140,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_14_35]) ).
cnf(refute_14_141,plain,
( e13 != op1(e13,e12)
| op1(e13,e10) != e13
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_14_142,plain,
( e13 != op1(e13,e12)
| op1(e13,e10) = e12
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_14_113,refute_14_141]) ).
cnf(refute_14_143,plain,
( e13 != op1(e13,e12)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_14_142,refute_14_140]) ).
cnf(refute_14_144,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_14_36]) ).
cnf(refute_14_145,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_14_37]) ).
cnf(refute_14_146,plain,
( op1(e13,e12) != e11
| op1(e13,e13) != e11
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_14_147,plain,
( op1(e13,e12) != e11
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_14_94,refute_14_146]) ).
cnf(refute_14_148,plain,
op1(e13,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_14_147,refute_14_145]) ).
cnf(refute_14_149,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_14_144,refute_14_148]) ).
cnf(refute_14_150,plain,
op1(e13,e11) != op1(e13,e12),
inference(canonicalize,[],[normalize_14_38]) ).
cnf(refute_14_151,plain,
( e10 != op1(e13,e12)
| op1(e13,e11) != e10
| op1(e13,e11) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e10) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_14_152,plain,
( e10 != op1(e13,e12)
| op1(e13,e11) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_14_109,refute_14_151]) ).
cnf(refute_14_153,plain,
e10 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e12)) )],[refute_14_152,refute_14_150]) ).
cnf(refute_14_154,plain,
( op1(e13,e12) != e10
| e10 = op1(e13,e12) ),
inference(subst,[],[refute_14_6:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e10))]]) ).
cnf(refute_14_155,plain,
op1(e13,e12) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_14_154,refute_14_153]) ).
cnf(refute_14_156,plain,
( op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_14_149,refute_14_155]) ).
cnf(refute_14_157,plain,
( e13 != e13
| op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_14_158,plain,
( e13 != e13
| e13 = op1(e13,e12)
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_14_156,refute_14_157]) ).
cnf(refute_14_159,plain,
( e13 != e13
| op1(e13,e10) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_14_158,refute_14_143]) ).
cnf(refute_14_160,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_14_161,plain,
( op1(e13,e10) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_14_160,refute_14_159]) ).
cnf(refute_14_162,plain,
( h4(e12) != op2(e23,e22)
| op1(e13,e12) != e12
| h4(op1(e13,e12)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e12)),op2(e23,e22)) ),[0,0],$fot(e12)]]) ).
cnf(refute_14_163,plain,
( h4(e12) != op2(e23,e22)
| h4(op1(e13,e12)) = op2(e23,e22)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_14_161,refute_14_162]) ).
cnf(refute_14_164,plain,
( h4(e12) != op2(e23,e22)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),op2(e23,e22)) )],[refute_14_163,refute_14_139]) ).
cnf(refute_14_165,plain,
( e22 != op2(e23,e22)
| h4(e12) != e22
| h4(e12) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_14_166,plain,
( e22 != op2(e23,e22)
| h4(e12) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_14_89,refute_14_165]) ).
cnf(refute_14_167,plain,
( e22 != op2(e23,e22)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e22)) )],[refute_14_166,refute_14_164]) ).
cnf(refute_14_168,plain,
( e22 != e22
| op1(e13,e10) = e12
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e22)) )],[refute_14_45,refute_14_167]) ).
cnf(refute_14_169,plain,
( op1(e13,e10) = e12
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_14_47,refute_14_168]) ).
cnf(refute_14_170,plain,
( e23 != e23
| op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_14_171,plain,
( e23 != e23
| e23 = op2(e23,e22)
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_14_169,refute_14_170]) ).
cnf(refute_14_172,plain,
( e23 != e23
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_14_171,refute_14_124]) ).
cnf(refute_14_173,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_14_174,plain,
op1(e13,e10) = e12,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_14_173,refute_14_172]) ).
cnf(refute_14_175,plain,
h4(op1(e13,e10)) = h4(op1(e13,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e10)))]]) ).
cnf(refute_14_176,plain,
( h4(op1(e13,e10)) != h4(op1(e13,e10))
| op1(e13,e10) != e12
| h4(op1(e13,e10)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),h4(op1(e13,e10))) ),[1,0],$fot(e12)]]) ).
cnf(refute_14_177,plain,
( op1(e13,e10) != e12
| h4(op1(e13,e10)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(op1(e13,e10))) )],[refute_14_175,refute_14_176]) ).
cnf(refute_14_178,plain,
h4(op1(e13,e10)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_14_174,refute_14_177]) ).
cnf(refute_14_179,plain,
( h4(e12) != e22
| h4(op1(e13,e10)) != h4(e12)
| h4(op1(e13,e10)) = e22 ),
inference(subst,[],[refute_14_66:[bind(X,$fot(h4(op1(e13,e10)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_14_180,plain,
( h4(e12) != e22
| h4(op1(e13,e10)) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(e12)) )],[refute_14_178,refute_14_179]) ).
cnf(refute_14_181,plain,
h4(op1(e13,e10)) = e22,
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_14_89,refute_14_180]) ).
cnf(refute_14_182,plain,
( h4(op1(e13,e10)) != e22
| h4(op1(e13,e10)) != op2(e23,e20)
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),op2(e23,e20)) ),[0],$fot(e22)]]) ).
cnf(refute_14_183,plain,
( h4(op1(e13,e10)) != op2(e23,e20)
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),e22) )],[refute_14_181,refute_14_182]) ).
cnf(refute_14_184,plain,
e22 = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e23,e20)) )],[refute_14_72,refute_14_183]) ).
cnf(refute_14_185,plain,
( e22 != op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(subst,[],[refute_14_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_14_186,plain,
op2(e23,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_14_184,refute_14_185]) ).
cnf(refute_14_187,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0],$fot(e22)]]) ).
cnf(refute_14_188,plain,
( op2(e23,e20) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_14_186,refute_14_187]) ).
cnf(refute_14_189,plain,
( e22 = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_14_48,refute_14_188]) ).
cnf(refute_14_190,plain,
e22 != e23,
inference(canonicalize,[],[normalize_14_40]) ).
cnf(refute_14_191,plain,
op2(e23,e22) = e23,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_14_189,refute_14_190]) ).
cnf(refute_14_192,plain,
( e12 != op1(e13,e12)
| op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_14_193,plain,
( e12 != op1(e13,e12)
| op1(e13,e10) = e13
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_14_113,refute_14_192]) ).
cnf(refute_14_194,plain,
( e12 != op1(e13,e12)
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_14_193,refute_14_140]) ).
cnf(refute_14_195,plain,
( e12 != e12
| op1(e13,e12) != e12
| e12 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_14_196,plain,
( e12 != e12
| e12 = op1(e13,e12)
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_14_156,refute_14_195]) ).
cnf(refute_14_197,plain,
( e12 != e12
| op1(e13,e10) = e13
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e12)) )],[refute_14_196,refute_14_194]) ).
cnf(refute_14_198,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_14_199,plain,
( op1(e13,e10) = e13
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_14_198,refute_14_197]) ).
cnf(refute_14_200,plain,
( h4(e13) != op2(e23,e22)
| op1(e13,e12) != e13
| h4(op1(e13,e12)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e12)),op2(e23,e22)) ),[0,0],$fot(e13)]]) ).
cnf(refute_14_201,plain,
( h4(e13) != op2(e23,e22)
| h4(op1(e13,e12)) = op2(e23,e22)
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_14_199,refute_14_200]) ).
cnf(refute_14_202,plain,
( h4(e13) != op2(e23,e22)
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),op2(e23,e22)) )],[refute_14_201,refute_14_139]) ).
cnf(refute_14_203,plain,
( e23 != op2(e23,e22)
| h4(e13) != e23
| h4(e13) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_14_204,plain,
( e23 != op2(e23,e22)
| h4(e13) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_14_60,refute_14_203]) ).
cnf(refute_14_205,plain,
( e23 != op2(e23,e22)
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e22)) )],[refute_14_204,refute_14_202]) ).
cnf(refute_14_206,plain,
( op1(e13,e10) != e12
| op1(e13,e10) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[0],$fot(e12)]]) ).
cnf(refute_14_207,plain,
( op1(e13,e10) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_14_174,refute_14_206]) ).
cnf(refute_14_208,plain,
( e23 != op2(e23,e22)
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_14_205,refute_14_207]) ).
cnf(refute_14_209,plain,
e12 != e13,
inference(canonicalize,[],[normalize_14_42]) ).
cnf(refute_14_210,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_14_208,refute_14_209]) ).
cnf(refute_14_211,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_14_6:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_14_212,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_14_211,refute_14_210]) ).
cnf(refute_14_213,plain,
$false,
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_14_191,refute_14_212]) ).
fof(negate_15_0,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 )
& ( 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)) ),
inference(negate,[],[subgoal_15]) ).
fof(normalize_15_0,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
& 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))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_15_0]) ).
fof(normalize_15_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_15_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_15_1]) ).
fof(normalize_15_3,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_15_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_15_3]) ).
fof(normalize_15_5,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_15_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_15_5]) ).
fof(normalize_15_7,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
& 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))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_15_0,normalize_15_2,normalize_15_4,normalize_15_6]) ).
fof(normalize_15_8,plain,
h4(op1(e13,e13)) != op2(h4(e13),h4(e13)),
inference(conjunct,[],[normalize_15_7]) ).
fof(normalize_15_9,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_15_10,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_15_9]) ).
fof(normalize_15_11,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_15_12,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_13,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_15_14,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_15_13]) ).
fof(normalize_15_15,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_15_9]) ).
cnf(refute_15_0,plain,
h4(op1(e13,e13)) != op2(h4(e13),h4(e13)),
inference(canonicalize,[],[normalize_15_8]) ).
cnf(refute_15_1,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_15_10]) ).
cnf(refute_15_2,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_15_12]) ).
cnf(refute_15_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_15_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_15_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_15_3,refute_15_4]) ).
cnf(refute_15_6,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_15_7,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_15_2,refute_15_6]) ).
cnf(refute_15_8,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_15_9,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_15_7,refute_15_8]) ).
cnf(refute_15_10,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_15_1,refute_15_9]) ).
cnf(refute_15_11,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_15_14]) ).
cnf(refute_15_12,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_15_13,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_15_11,refute_15_12]) ).
cnf(refute_15_14,plain,
h4(op1(e13,e13)) = h4(op1(e13,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e13)))]]) ).
cnf(refute_15_15,plain,
( h4(op1(e13,e13)) != h4(op1(e13,e13))
| op1(e13,e13) != e11
| h4(op1(e13,e13)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_15_16,plain,
( op1(e13,e13) != e11
| h4(op1(e13,e13)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) )],[refute_15_14,refute_15_15]) ).
cnf(refute_15_17,plain,
h4(op1(e13,e13)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_15_13,refute_15_16]) ).
cnf(refute_15_18,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_15_19,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_15_5,refute_15_18]) ).
cnf(refute_15_20,plain,
( h4(e11) != e21
| h4(op1(e13,e13)) != h4(e11)
| h4(op1(e13,e13)) = e21 ),
inference(subst,[],[refute_15_19:[bind(X,$fot(h4(op1(e13,e13)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_15_21,plain,
( h4(e11) != e21
| h4(op1(e13,e13)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(e11)) )],[refute_15_17,refute_15_20]) ).
cnf(refute_15_22,plain,
h4(op1(e13,e13)) = e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_15_10,refute_15_21]) ).
cnf(refute_15_23,plain,
( e21 != op2(h4(e13),h4(e13))
| h4(op1(e13,e13)) != e21
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),e21) ),[1],$fot(op2(h4(e13),h4(e13)))]]) ).
cnf(refute_15_24,plain,
( e21 != op2(h4(e13),h4(e13))
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),e21) )],[refute_15_22,refute_15_23]) ).
cnf(refute_15_25,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_15_15]) ).
cnf(refute_15_26,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_15_27,plain,
( h4(e13) != e23
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_15_28,plain,
( h4(e13) != e23
| op2(e23,h4(e13)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_15_26,refute_15_27]) ).
cnf(refute_15_29,plain,
op2(e23,h4(e13)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_15_25,refute_15_28]) ).
cnf(refute_15_30,plain,
op2(h4(e13),h4(e13)) = op2(h4(e13),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e13)))]]) ).
cnf(refute_15_31,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e13)) != op2(h4(e13),h4(e13))
| op2(h4(e13),h4(e13)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(h4(e13),h4(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_15_32,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e13)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(h4(e13),h4(e13))) )],[refute_15_30,refute_15_31]) ).
cnf(refute_15_33,plain,
op2(h4(e13),h4(e13)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_15_25,refute_15_32]) ).
cnf(refute_15_34,plain,
( op2(e23,h4(e13)) != op2(e23,e23)
| op2(h4(e13),h4(e13)) != op2(e23,h4(e13))
| op2(h4(e13),h4(e13)) = op2(e23,e23) ),
inference(subst,[],[refute_15_19:[bind(X,$fot(op2(h4(e13),h4(e13)))),bind(Y,$fot(op2(e23,h4(e13)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_15_35,plain,
( op2(e23,h4(e13)) != op2(e23,e23)
| op2(h4(e13),h4(e13)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(e23,h4(e13))) )],[refute_15_33,refute_15_34]) ).
cnf(refute_15_36,plain,
op2(h4(e13),h4(e13)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e23)) )],[refute_15_29,refute_15_35]) ).
cnf(refute_15_37,plain,
( op2(e23,e23) != e21
| op2(h4(e13),h4(e13)) != op2(e23,e23)
| op2(h4(e13),h4(e13)) = e21 ),
inference(subst,[],[refute_15_19:[bind(X,$fot(op2(h4(e13),h4(e13)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_15_38,plain,
( op2(e23,e23) != e21
| op2(h4(e13),h4(e13)) = e21 ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(e23,e23)) )],[refute_15_36,refute_15_37]) ).
cnf(refute_15_39,plain,
op2(h4(e13),h4(e13)) = e21,
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_15_7,refute_15_38]) ).
cnf(refute_15_40,plain,
( e21 != e21
| op2(h4(e13),h4(e13)) != e21
| e21 = op2(h4(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h4(e13),h4(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_15_41,plain,
( e21 != e21
| e21 = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),e21) )],[refute_15_39,refute_15_40]) ).
cnf(refute_15_42,plain,
( e21 != e21
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(e21,op2(h4(e13),h4(e13))) )],[refute_15_41,refute_15_24]) ).
cnf(refute_15_43,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),op2(h4(e13),h4(e13))) )],[refute_15_42,refute_15_0]) ).
cnf(refute_15_44,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_15_45,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_15_44,refute_15_43]) ).
fof(negate_16_0,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 )
& ( 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 ),
inference(negate,[],[subgoal_16]) ).
fof(normalize_16_0,plain,
( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& 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))
& ( 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 ) ) ),
inference(canonicalize,[],[negate_16_0]) ).
fof(normalize_16_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_16_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_16_1]) ).
fof(normalize_16_3,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_16_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_16_3]) ).
fof(normalize_16_5,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_16_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_16_5]) ).
fof(normalize_16_7,plain,
( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& 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))
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_16_0,normalize_16_2,normalize_16_4,normalize_16_6]) ).
fof(normalize_16_8,plain,
h4(e10) != e20,
inference(conjunct,[],[normalize_16_7]) ).
fof(normalize_16_9,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_16_10,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_16_9]) ).
fof(normalize_16_11,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_16_12,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_16_11]) ).
cnf(refute_16_0,plain,
h4(e10) != e20,
inference(canonicalize,[],[normalize_16_8]) ).
cnf(refute_16_1,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_16_10]) ).
cnf(refute_16_2,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_16_12]) ).
cnf(refute_16_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_16_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_16_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_16_3,refute_16_4]) ).
cnf(refute_16_6,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_16_7,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_16_2,refute_16_6]) ).
cnf(refute_16_8,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_16_9,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_16_7,refute_16_8]) ).
cnf(refute_16_10,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_16_1,refute_16_9]) ).
cnf(refute_16_11,plain,
( e20 != e20
| h4(e10) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_16_12,plain,
( e20 != e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_16_10,refute_16_11]) ).
cnf(refute_16_13,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_16_12,refute_16_0]) ).
cnf(refute_16_14,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_16_15,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_16_14,refute_16_13]) ).
fof(negate_17_0,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 )
& ( 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 ),
inference(negate,[],[subgoal_17]) ).
fof(normalize_17_0,plain,
( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21
& 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 )
& ( 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 ) ) ),
inference(canonicalize,[],[negate_17_0]) ).
fof(normalize_17_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_17_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_17_1]) ).
fof(normalize_17_3,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_17_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_17_3]) ).
fof(normalize_17_5,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_17_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_17_5]) ).
fof(normalize_17_7,plain,
( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21
& 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 )
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_17_0,normalize_17_2,normalize_17_4,normalize_17_6]) ).
fof(normalize_17_8,plain,
h4(e11) != e21,
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_9,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_17_10,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_17_9]) ).
fof(normalize_17_11,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_17_12,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_17_11]) ).
cnf(refute_17_0,plain,
h4(e11) != e21,
inference(canonicalize,[],[normalize_17_8]) ).
cnf(refute_17_1,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_17_10]) ).
cnf(refute_17_2,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_17_12]) ).
cnf(refute_17_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_17_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_17_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_17_3,refute_17_4]) ).
cnf(refute_17_6,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_17_7,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_17_2,refute_17_6]) ).
cnf(refute_17_8,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_17_9,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_17_7,refute_17_8]) ).
cnf(refute_17_10,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_17_1,refute_17_9]) ).
cnf(refute_17_11,plain,
( e21 != e21
| h4(e11) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_17_12,plain,
( e21 != e21
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_17_10,refute_17_11]) ).
cnf(refute_17_13,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_17_12,refute_17_0]) ).
cnf(refute_17_14,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_17_15,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_17_14,refute_17_13]) ).
fof(negate_18_0,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 )
& ( 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 ),
inference(negate,[],[subgoal_18]) ).
fof(normalize_18_0,plain,
( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22
& 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 )
& ( 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 ) ) ),
inference(canonicalize,[],[negate_18_0]) ).
fof(normalize_18_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_18_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_18_1]) ).
fof(normalize_18_3,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_18_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_18_3]) ).
fof(normalize_18_5,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_18_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_18_5]) ).
fof(normalize_18_7,plain,
( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22
& 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 )
& ( 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) != 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) != 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) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_18_0,normalize_18_2,normalize_18_4,normalize_18_6]) ).
fof(normalize_18_8,plain,
h4(e12) != e22,
inference(conjunct,[],[normalize_18_7]) ).
fof(normalize_18_9,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_18_10,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_18_9]) ).
fof(normalize_18_11,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_18_12,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_18_11]) ).
fof(normalize_18_13,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_18_11]) ).
cnf(refute_18_0,plain,
h4(e12) != e22,
inference(canonicalize,[],[normalize_18_8]) ).
cnf(refute_18_1,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_18_10]) ).
cnf(refute_18_2,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_18_12]) ).
cnf(refute_18_3,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_18_13]) ).
cnf(refute_18_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_18_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_18_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_18_4,refute_18_5]) ).
cnf(refute_18_7,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_18_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_18_8,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_18_3,refute_18_7]) ).
cnf(refute_18_9,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_18_10,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_18_11,plain,
( op2(e23,op2(e23,e23)) != e20
| op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_18_9,refute_18_10]) ).
cnf(refute_18_12,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_18_8,refute_18_11]) ).
cnf(refute_18_13,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_18_14,plain,
( e22 != op2(op2(e23,op2(e23,e23)),e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_18_12,refute_18_13]) ).
cnf(refute_18_15,plain,
e22 = op2(e20,e23),
inference(resolve,[$cnf( $equal(e22,op2(op2(e23,op2(e23,e23)),e23)) )],[refute_18_2,refute_18_14]) ).
cnf(refute_18_16,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_18_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_18_17,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_18_15,refute_18_16]) ).
cnf(refute_18_18,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_18_19,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_18_6,refute_18_18]) ).
cnf(refute_18_20,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) != op2(e20,e23)
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(subst,[],[refute_18_19:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_18_21,plain,
( op2(e20,e23) != e22
| op2(op2(e23,op2(e23,e23)),e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(e20,e23)) )],[refute_18_12,refute_18_20]) ).
cnf(refute_18_22,plain,
op2(op2(e23,op2(e23,e23)),e23) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_18_17,refute_18_21]) ).
cnf(refute_18_23,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_18_24,plain,
( h4(e12) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),e22) )],[refute_18_22,refute_18_23]) ).
cnf(refute_18_25,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_18_1,refute_18_24]) ).
cnf(refute_18_26,plain,
( e22 != e22
| h4(e12) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[1],$fot(e22)]]) ).
cnf(refute_18_27,plain,
( e22 != e22
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_18_25,refute_18_26]) ).
cnf(refute_18_28,plain,
e22 != e22,
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_18_27,refute_18_0]) ).
cnf(refute_18_29,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_18_30,plain,
$false,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_18_29,refute_18_28]) ).
fof(negate_19_0,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 )
& ( 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(negate,[],[subgoal_19]) ).
fof(normalize_19_0,plain,
( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(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 )
& ( 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 ) ) ),
inference(canonicalize,[],[negate_19_0]) ).
fof(normalize_19_1,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_19_2,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_19_1]) ).
fof(normalize_19_3,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_19_4,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_19_3]) ).
fof(normalize_19_5,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_19_6,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_19_5]) ).
fof(normalize_19_7,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_19_8,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_19_7]) ).
fof(normalize_19_9,plain,
$false,
inference(simplify,[],[normalize_19_0,normalize_19_2,normalize_19_4,normalize_19_6,normalize_19_8]) ).
cnf(refute_19_0,plain,
$false,
inference(canonicalize,[],[normalize_19_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG116+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 07:19:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 191.55/191.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 191.55/191.76
% 191.55/191.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 192.61/192.81
%------------------------------------------------------------------------------