%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG110+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 17:35:32 EDT 2022
% Result : Theorem 5.70s 5.96s
% Output : CNFRefutation 6.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 95
% Number of leaves : 2200
% Syntax : Number of formulae : 10345 (3742 unt; 3 def)
% Number of atoms : 38658 (38515 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 43660 (15347 ~;19509 |;8758 &)
% ( 6 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 209 ( 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(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) != e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) != e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) != e10 ) )
& ( ( op1(e10,e11) = e10
& op1(e11,e10) != e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) != e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) != e11 ) )
& ( ( op1(e10,e12) = e10
& op1(e12,e10) != e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) != e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) != e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) != e12 ) )
& ( ( op1(e10,e13) = e10
& op1(e13,e10) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) != e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) != e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) != e13 ) ) ) ).
fof(ax11,axiom,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) != e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) != e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) != e20 ) )
& ( ( op2(e20,e21) = e20
& op2(e21,e20) != e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) != e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) != e21 ) )
& ( ( op2(e20,e22) = e20
& op2(e22,e20) != e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) != e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) != e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) != e22 ) )
& ( ( op2(e20,e23) = e20
& op2(e23,e20) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) != e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) != e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) != e23 ) ) ) ).
fof(ax12,axiom,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ) ).
fof(ax13,axiom,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ) ).
fof(ax14,axiom,
( h1(e12) = e20
& h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e13) = op2(e20,e20) ) ).
fof(ax15,axiom,
( h2(e12) = e21
& h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e13) = op2(e21,e21) ) ).
fof(ax16,axiom,
( h3(e12) = e22
& h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e13) = op2(e22,e22) ) ).
fof(ax17,axiom,
( h4(e12) = e23
& h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e13) = op2(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_10
<=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ) ).
fof(definition_1,definition,
( definitionFOFtoCNF_11
<=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ) ).
fof(definition_2,definition,
( definitionFOFtoCNF_57
<=> ( 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,
( ( ( op2(e20,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) )
& ( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) )
& ( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_0_1,plain,
( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( ( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e23) != e21 )
& ( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e23,e21) = e23 )
& ( op2(e21,e20) != e21
| op2(e21,e23) != e21
| op2(e22,e21) = e22 )
& ( op2(e21,e20) != e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e21,e22) != e21
| op2(e21,e23) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e21) = e20
| op2(e23,e21) = e23 )
& ( op2(e21,e23) != e21
| op2(e20,e21) = e20
| op2(e22,e21) = e22 )
& ( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,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_5,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_0_7,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_0_9,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_0_11,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_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_0_14,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_16,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_0_17,plain,
e21 != e23,
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_0_19,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_21,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_22,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_23,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_25,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_26,plain,
e20 != e23,
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_27,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_28,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_29,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_0_30,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_0_8]) ).
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) != 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_27,normalize_0_28,normalize_0_30,normalize_0_31]) ).
fof(normalize_0_33,plain,
h4(op1(e10,e10)) != op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_0_32]) ).
fof(normalize_0_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_0_35,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_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_0_37,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_39,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_0_40,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(conjunct,[],[normalize_0_39]) ).
fof(normalize_0_42,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_0_39]) ).
fof(normalize_0_43,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_0_44,plain,
e11 != e13,
inference(conjunct,[],[normalize_0_43]) ).
fof(normalize_0_45,plain,
( ( ( op1(e10,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) )
& ( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) )
& ( ( op1(e13,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e12,e13) = e12 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_0_46,plain,
( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) ),
inference(conjunct,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
( ( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e11,e13) != e11 )
& ( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e13,e11) = e13 )
& ( op1(e11,e10) != e11
| op1(e11,e13) != e11
| op1(e12,e11) = e12 )
& ( op1(e11,e10) != e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e11,e12) != e11
| op1(e11,e13) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e12) != e11
| op1(e10,e11) = e10
| op1(e13,e11) = e13 )
& ( op1(e11,e13) != e11
| op1(e10,e11) = e10
| op1(e12,e11) = e12 )
& ( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ) ),
inference(clausify,[],[normalize_0_46]) ).
fof(normalize_0_48,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_0_47]) ).
fof(normalize_0_49,plain,
op1(e10,e11) != op1(e10,e12),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_50,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_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_0_52,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_0_51]) ).
fof(normalize_0_53,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_54,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_55,plain,
( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_0_45]) ).
fof(normalize_0_56,plain,
( ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e12,e13) != e12 )
& ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e13,e12) = e13 )
& ( op1(e12,e10) != e12
| op1(e12,e13) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e10) != e12
| op1(e11,e12) = e11
| op1(e13,e12) = e13 )
& ( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e10,e12) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e12) = e10
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e12
| op1(e10,e12) = e10
| op1(e11,e12) = e11 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ) ),
inference(clausify,[],[normalize_0_55]) ).
fof(normalize_0_57,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_0_56]) ).
fof(normalize_0_58,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_59,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_0_51]) ).
fof(normalize_0_60,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_61,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_62,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_0_51]) ).
fof(normalize_0_63,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_64,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_65,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_66,plain,
e22 != e23,
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_67,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_68,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_69,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_70,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_71,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_72,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_73,plain,
h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_74,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_75,plain,
( op2(e21,e22) != e21
| op2(e20,e21) = e20
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_76,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_77,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_78,plain,
e21 != e22,
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_79,plain,
op2(e22,e21) != op2(e22,e23),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_80,plain,
( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_81,plain,
( ( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e23,e22) != e23 )
& ( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e20) != e23
| op2(e23,e22) != e23
| op2(e21,e23) = e21 )
& ( op2(e23,e20) != e23
| op2(e21,e23) = e21
| op2(e22,e23) = e22 )
& ( op2(e23,e21) != e23
| op2(e23,e22) != e23
| op2(e20,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e23) = e20
| op2(e22,e23) = e22 )
& ( op2(e23,e22) != e23
| op2(e20,e23) = e20
| op2(e21,e23) = e21 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ) ),
inference(clausify,[],[normalize_0_80]) ).
fof(normalize_0_82,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(conjunct,[],[normalize_0_81]) ).
fof(normalize_0_83,plain,
e20 != e21,
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_84,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_0_13]) ).
cnf(refute_0_0,plain,
( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_0_7,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_0_9,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_0_1,refute_0_9]) ).
cnf(refute_0_11,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_12,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_13,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_0_14,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_0_16,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_17,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_20,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = e20 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_0_21,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_0_23,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_24,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e20) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_27,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_5,refute_0_26]) ).
cnf(refute_0_28,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))),bind(Y,$fot(op2(e20,op2(e22,e22)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_0_29,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_0_18,refute_0_29]) ).
cnf(refute_0_31,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,e23)
| h3(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e20,e23)) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_0_32,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| h3(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,e23)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
h3(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_0_11,refute_0_32]) ).
cnf(refute_0_34,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_0_35,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_0_37,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_0_10,refute_0_37]) ).
cnf(refute_0_39,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_40,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_0_41,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_14,refute_0_40]) ).
cnf(refute_0_42,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_0_41,refute_0_39]) ).
cnf(refute_0_43,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_0_38,refute_0_42]) ).
cnf(refute_0_44,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_45,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,op2(e22,e22))) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_0_46,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_0_25,refute_0_45]) ).
cnf(refute_0_47,plain,
e21 = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(e21,op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_0_44,refute_0_46]) ).
cnf(refute_0_48,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op2(e20,op2(e22,e22)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_0_49,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_0_18,refute_0_48]) ).
cnf(refute_0_50,plain,
op2(e20,op2(e22,e22)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_0_35,refute_0_49]) ).
cnf(refute_0_51,plain,
( e21 != op2(e20,op2(e22,e22))
| op2(e20,op2(e22,e22)) != h3(e11)
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[0],$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_0_52,plain,
( e21 != op2(e20,op2(e22,e22))
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),h3(e11)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
e21 = h3(e11),
inference(resolve,[$cnf( $equal(e21,op2(e20,op2(e22,e22))) )],[refute_0_47,refute_0_52]) ).
cnf(refute_0_54,plain,
( e21 != h3(e11)
| h3(e11) = e21 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e21)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_0_55,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( h3(e11) != e21
| h3(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_0_57,plain,
( h3(e11) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( e21 = e23
| h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_0_43,refute_0_57]) ).
cnf(refute_0_59,plain,
e21 != e23,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_60,plain,
( h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_62,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_63,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = h4(e10) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_0_64,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)))]]) ).
cnf(refute_0_66,plain,
( op2(op2(e23,e23),op2(e23,e23)) != h4(e10)
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(h4(e10))]]) ).
cnf(refute_0_67,plain,
( op2(op2(e23,e23),op2(e23,e23)) != h4(e10)
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h4(e10)) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
( h4(e11) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) != op2(h4(e10),op2(e23,e23))
| h4(e11) = op2(h4(e10),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h4(e10),op2(e23,e23))) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)))]]) ).
cnf(refute_0_70,plain,
( h4(e11) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| h4(e11) = op2(h4(e10),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
h4(e11) = op2(h4(e10),op2(e23,e23)),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) )],[refute_0_61,refute_0_70]) ).
cnf(refute_0_72,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_73,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_0_74,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_0_76,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_77,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_14,refute_0_77]) ).
cnf(refute_0_79,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_0_80,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_0_81,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_14,refute_0_81]) ).
cnf(refute_0_83,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_0_84,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_0_78,refute_0_84]) ).
cnf(refute_0_86,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_0_87,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_74,refute_0_87]) ).
cnf(refute_0_89,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_0_90,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_0_19,refute_0_90]) ).
cnf(refute_0_92,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_0_93,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
( h4(e13) != e20
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_0_95,plain,
( h4(e13) != e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_74,refute_0_94]) ).
cnf(refute_0_96,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_0_93,refute_0_95]) ).
cnf(refute_0_97,plain,
op2(h1(e13),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e23,e23)))]]) ).
cnf(refute_0_98,plain,
( op2(e23,e23) != e20
| op2(h1(e13),op2(e23,e23)) != op2(h1(e13),op2(e23,e23))
| op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_99,plain,
( op2(e23,e23) != e20
| op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_0_96,refute_0_99]) ).
cnf(refute_0_101,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_0_102,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_103,plain,
( op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
op2(e20,op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_0_96,refute_0_103]) ).
cnf(refute_0_105,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_0_106,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,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(e20)]]) ).
cnf(refute_0_107,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_0_96,refute_0_107]) ).
cnf(refute_0_109,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_0_110,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_0_104,refute_0_110]) ).
cnf(refute_0_112,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_0_113,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
op2(op2(e23,e23),op2(e23,e23)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_7,refute_0_113]) ).
cnf(refute_0_115,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_0_116,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h1(e13)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_0_62,refute_0_116]) ).
cnf(refute_0_118,plain,
op2(h4(e10),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(h4(e10),op2(e23,e23)))]]) ).
cnf(refute_0_119,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),op2(e23,e23)) != op2(h4(e10),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_0_120,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
( op2(h1(e13),op2(e23,e23)) != op2(h1(e13),e20)
| op2(h4(e10),op2(e23,e23)) != op2(h1(e13),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op2(h4(e10),op2(e23,e23)))),bind(Y,$fot(op2(h1(e13),op2(e23,e23)))),bind(Z,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_0_123,plain,
( op2(h1(e13),op2(e23,e23)) != op2(h1(e13),e20)
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),e20)) )],[refute_0_100,refute_0_123]) ).
cnf(refute_0_125,plain,
( h4(e11) != op2(h4(e10),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) != op2(h1(e13),e20)
| h4(e11) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h1(e13),e20)) ),[0],$fot(op2(h4(e10),op2(e23,e23)))]]) ).
cnf(refute_0_126,plain,
( h4(e11) != op2(h4(e10),op2(e23,e23))
| h4(e11) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h1(e13),e20)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
h4(e11) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e10),op2(e23,e23))) )],[refute_0_71,refute_0_126]) ).
cnf(refute_0_128,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_129,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_0_130,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_7,refute_0_129]) ).
cnf(refute_0_131,plain,
( h1(e13) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_128,refute_0_130]) ).
cnf(refute_0_132,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_0_133,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_7,refute_0_132]) ).
cnf(refute_0_134,plain,
( h1(e13) = e20
| h1(e13) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_0_131,refute_0_133]) ).
cnf(refute_0_135,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_0_136,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_7,refute_0_135]) ).
cnf(refute_0_137,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_0_134,refute_0_136]) ).
cnf(refute_0_138,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_0_137,refute_0_9]) ).
cnf(refute_0_139,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_140,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_0_141,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_7,refute_0_140]) ).
cnf(refute_0_142,plain,
( h1(e13) != h3(e11)
| op2(e20,e23) != h3(e11)
| h1(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_0_143,plain,
( h1(e13) != h3(e11)
| h1(e13) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_0_35,refute_0_142]) ).
cnf(refute_0_144,plain,
( h1(e13) != h3(e11)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_0_143,refute_0_141]) ).
cnf(refute_0_145,plain,
h1(e13) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_0_144,refute_0_139]) ).
cnf(refute_0_146,plain,
( h1(e13) != e21
| h3(e11) != e21
| h1(e13) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_0_147,plain,
( h1(e13) != e21
| h1(e13) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_55,refute_0_146]) ).
cnf(refute_0_148,plain,
h1(e13) != e21,
inference(resolve,[$cnf( $equal(h1(e13),h3(e11)) )],[refute_0_147,refute_0_145]) ).
cnf(refute_0_149,plain,
( h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_0_138,refute_0_148]) ).
cnf(refute_0_150,plain,
( h1(e13) != e20
| h4(e11) != op2(h1(e13),e20)
| h4(e11) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(h1(e13),e20)) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_151,plain,
( h4(e11) != op2(h1(e13),e20)
| h1(e13) = e22
| h1(e13) = e23
| h4(e11) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
( h1(e13) = e22
| h1(e13) = e23
| h4(e11) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h1(e13),e20)) )],[refute_0_127,refute_0_151]) ).
cnf(refute_0_153,plain,
( h4(e11) != op2(e20,e20)
| op2(e20,e20) != h1(e13)
| h4(e11) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h1(e13)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_0_154,plain,
( h4(e11) != op2(e20,e20)
| h4(e11) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_7,refute_0_153]) ).
cnf(refute_0_155,plain,
( h1(e13) = e22
| h1(e13) = e23
| h4(e11) = h1(e13) ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e20)) )],[refute_0_152,refute_0_154]) ).
cnf(refute_0_156,plain,
( h1(e13) != e20
| h4(e11) != h1(e13)
| h4(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_0_157,plain,
( h4(e11) != h1(e13)
| h1(e13) = e22
| h1(e13) = e23
| h4(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_0_149,refute_0_156]) ).
cnf(refute_0_158,plain,
( h1(e13) = e22
| h1(e13) = e23
| h4(e11) = e20 ),
inference(resolve,[$cnf( $equal(h4(e11),h1(e13)) )],[refute_0_155,refute_0_157]) ).
cnf(refute_0_159,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_160,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_0_161,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_0_162,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_7,refute_0_162]) ).
cnf(refute_0_164,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_0_165,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),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(e13))]]) ).
cnf(refute_0_166,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_7,refute_0_166]) ).
cnf(refute_0_168,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_0_169,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_0_163,refute_0_169]) ).
cnf(refute_0_171,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e10) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_0_172,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| h1(e10) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
h1(e10) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_0_159,refute_0_172]) ).
cnf(refute_0_174,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e13) != e20
| h1(e10) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_175,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e10) = op2(h1(e13),e20)
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_0_149,refute_0_174]) ).
cnf(refute_0_176,plain,
( h1(e10) = op2(h1(e13),e20)
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_0_173,refute_0_175]) ).
cnf(refute_0_177,plain,
( h4(e11) != op2(h1(e13),e20)
| op2(h1(e13),e20) = h4(e11) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_0_178,plain,
op2(h1(e13),e20) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(h1(e13),e20)) )],[refute_0_127,refute_0_177]) ).
cnf(refute_0_179,plain,
( h1(e10) != op2(h1(e13),e20)
| op2(h1(e13),e20) != h4(e11)
| h1(e10) = h4(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h4(e11)) ),[0],$fot(op2(h1(e13),e20))]]) ).
cnf(refute_0_180,plain,
( h1(e10) != op2(h1(e13),e20)
| h1(e10) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h4(e11)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
( h1(e10) = h4(e11)
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) )],[refute_0_176,refute_0_180]) ).
cnf(refute_0_182,plain,
( h1(e10) != h4(e11)
| h4(e11) = h1(e10) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_0_183,plain,
( h1(e13) = e22
| h1(e13) = e23
| h4(e11) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),h4(e11)) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
( h4(e11) != e20
| h4(e11) != h1(e10)
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_0_185,plain,
( h4(e11) != e20
| h1(e10) = e20
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h4(e11),h1(e10)) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
( h1(e10) = e20
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_0_158,refute_0_185]) ).
cnf(refute_0_187,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e13) != e23
| h1(e10) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_188,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e10) = op2(e23,h1(e13))
| h1(e13) = e20
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_0_149,refute_0_187]) ).
cnf(refute_0_189,plain,
( h1(e10) = op2(e23,h1(e13))
| h1(e13) = e20
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_0_173,refute_0_188]) ).
cnf(refute_0_190,plain,
( h1(e10) != op2(e23,h1(e13))
| h1(e13) != e23
| h1(e10) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e23,h1(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_191,plain,
( h1(e10) != op2(e23,h1(e13))
| h1(e10) = op2(e23,e23)
| h1(e13) = e20
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_0_149,refute_0_190]) ).
cnf(refute_0_192,plain,
( h1(e10) = op2(e23,e23)
| h1(e13) = e20
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,h1(e13))) )],[refute_0_189,refute_0_191]) ).
cnf(refute_0_193,plain,
( h1(e10) != op2(e23,e23)
| op2(e23,e23) != e20
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e20) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_0_194,plain,
( h1(e10) != op2(e23,e23)
| h1(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_0_96,refute_0_193]) ).
cnf(refute_0_195,plain,
( h1(e10) = e20
| h1(e13) = e20
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,e23)) )],[refute_0_192,refute_0_194]) ).
cnf(refute_0_196,plain,
( h1(e13) != e20
| h1(e13) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[0],$fot(e20)]]) ).
cnf(refute_0_197,plain,
( h1(e13) != e23
| e20 = e23
| h1(e10) = e20
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
( e20 = e23
| h1(e10) = e20
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_0_186,refute_0_197]) ).
cnf(refute_0_199,plain,
e20 != e23,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_200,plain,
( h1(e10) = e20
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
h4(op1(e10,e10)) != op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_202,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) = h1(e10) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_0_203,plain,
op2(h1(e13),h1(e13)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_0_173,refute_0_202]) ).
cnf(refute_0_204,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e10)))]]) ).
cnf(refute_0_205,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_0_206,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_0_117,refute_0_206]) ).
cnf(refute_0_208,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_0_209,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_0_210,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_0_117,refute_0_210]) ).
cnf(refute_0_212,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h4(e10)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_0_213,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_0_207,refute_0_213]) ).
cnf(refute_0_215,plain,
( op2(h1(e13),h1(e13)) != h1(e10)
| op2(h4(e10),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = h1(e10) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h1(e13)))),bind(Z,$fot(h1(e10)))]]) ).
cnf(refute_0_216,plain,
( op2(h1(e13),h1(e13)) != h1(e10)
| op2(h4(e10),h4(e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
op2(h4(e10),h4(e10)) = h1(e10),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),h1(e10)) )],[refute_0_203,refute_0_216]) ).
cnf(refute_0_218,plain,
( h4(op1(e10,e10)) != h1(e10)
| op2(h4(e10),h4(e10)) != h1(e10)
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1],$fot(h1(e10))]]) ).
cnf(refute_0_219,plain,
( h4(op1(e10,e10)) != h1(e10)
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e10)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
h4(op1(e10,e10)) != h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_0_219,refute_0_201]) ).
cnf(refute_0_221,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_222,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_223,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_224,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_225,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_0_226,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_0_228,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_0_228,refute_0_223]) ).
cnf(refute_0_230,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_0_222,refute_0_229]) ).
cnf(refute_0_231,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_232,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_233,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = e10 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e12,e12),op1(e12,e12))))]]) ).
cnf(refute_0_234,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_0_236,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_237,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e10) )],[refute_0_234,refute_0_237]) ).
cnf(refute_0_239,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(e10,op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,op1(e12,e12))) ),[0],$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_0_240,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
e11 = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(e11,op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_0_231,refute_0_240]) ).
cnf(refute_0_242,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_0_243,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_0_244,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_226,refute_0_244]) ).
cnf(refute_0_246,plain,
( e11 != op1(e10,op1(e12,e12))
| op1(e10,op1(e12,e12)) != op1(e10,e13)
| e11 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e13)) ),[0],$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_0_247,plain,
( e11 != op1(e10,op1(e12,e12))
| e11 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
e11 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e11,op1(e10,op1(e12,e12))) )],[refute_0_241,refute_0_247]) ).
cnf(refute_0_249,plain,
( e11 != op1(e10,e13)
| op1(e10,e13) = e11 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_0_250,plain,
op1(e10,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
( op1(e10,e13) != e11
| op1(e10,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_0_252,plain,
( op1(e10,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
( e11 = e13
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_0_230,refute_0_252]) ).
cnf(refute_0_254,plain,
e11 != e13,
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_255,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
( e13 != op1(e13,e11)
| op1(e10,e11) != e13
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(op1(e13,e11))]]) ).
cnf(refute_0_257,plain,
( e13 != op1(e13,e11)
| op1(e10,e10) = e13
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
( e13 != op1(e13,e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_0_257,refute_0_221]) ).
cnf(refute_0_259,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_260,plain,
op1(e10,e11) != op1(e10,e12),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_261,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_262,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_263,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_0_262,refute_0_229]) ).
cnf(refute_0_264,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_265,plain,
( op1(e10,e12) != e11
| op1(e10,e13) != e11
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_0_266,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_0_250,refute_0_265]) ).
cnf(refute_0_267,plain,
op1(e10,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_0_266,refute_0_264]) ).
cnf(refute_0_268,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_0_263,refute_0_267]) ).
cnf(refute_0_269,plain,
( e12 != op1(e13,e12)
| op1(e10,e12) != e12
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_0_270,plain,
( e12 != op1(e13,e12)
| op1(e10,e12) = e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
( e12 != op1(e13,e12)
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_0_270,refute_0_261]) ).
cnf(refute_0_272,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_273,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_274,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_275,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_0_276,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_226,refute_0_275]) ).
cnf(refute_0_277,plain,
e13 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_0_276,refute_0_274]) ).
cnf(refute_0_278,plain,
( op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).
cnf(refute_0_279,plain,
op1(e13,e12) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_0_278,refute_0_277]) ).
cnf(refute_0_280,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_0_273,refute_0_279]) ).
cnf(refute_0_281,plain,
( e11 != op1(e13,e12)
| op1(e11,e12) != e11
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_0_282,plain,
( e11 != op1(e13,e12)
| op1(e10,e12) = e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
( e11 != op1(e13,e12)
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_0_282,refute_0_272]) ).
cnf(refute_0_284,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_285,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_0_284,refute_0_279]) ).
cnf(refute_0_286,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_287,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_0_288,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_0_289,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_226,refute_0_289]) ).
cnf(refute_0_291,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_0_292,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_0_293,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_226,refute_0_293]) ).
cnf(refute_0_295,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_0_296,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_0_290,refute_0_296]) ).
cnf(refute_0_298,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_0_299,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_0_232,refute_0_299]) ).
cnf(refute_0_301,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_0_302,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
( op1(e13,e12) != e10
| op1(e13,e13) != e10
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_0_304,plain,
( op1(e13,e12) != e10
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
op1(e13,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_0_304,refute_0_286]) ).
cnf(refute_0_306,plain,
( op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_285,refute_0_305]) ).
cnf(refute_0_307,plain,
( e11 != e11
| op1(e13,e12) != e11
| e11 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_0_308,plain,
( e11 != e11
| e11 = op1(e13,e12)
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
( e11 != e11
| op1(e10,e12) = e10
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,op1(e13,e12)) )],[refute_0_308,refute_0_283]) ).
cnf(refute_0_310,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_0_311,plain,
( op1(e10,e12) = e10
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_310,refute_0_309]) ).
cnf(refute_0_312,plain,
( e12 != e12
| op1(e13,e12) != e12
| e12 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_0_313,plain,
( e12 != e12
| e12 = op1(e13,e12)
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
( e12 != e12
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e12)) )],[refute_0_313,refute_0_271]) ).
cnf(refute_0_315,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_0_316,plain,
op1(e10,e12) = e10,
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_315,refute_0_314]) ).
cnf(refute_0_317,plain,
( op1(e10,e11) != e10
| op1(e10,e12) != e10
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_0_318,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_0_318,refute_0_260]) ).
cnf(refute_0_320,plain,
( op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_0_259,refute_0_319]) ).
cnf(refute_0_321,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_322,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_323,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_324,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_0_325,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_226,refute_0_324]) ).
cnf(refute_0_326,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_0_325,refute_0_323]) ).
cnf(refute_0_327,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_0_328,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_0_327,refute_0_326]) ).
cnf(refute_0_329,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_0_322,refute_0_328]) ).
cnf(refute_0_330,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_331,plain,
( op1(e12,e13) != e10
| op1(e13,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_0_332,plain,
( op1(e12,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_0_302,refute_0_331]) ).
cnf(refute_0_333,plain,
op1(e12,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_0_332,refute_0_330]) ).
cnf(refute_0_334,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_0_329,refute_0_333]) ).
cnf(refute_0_335,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_336,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_0_337,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_0_250,refute_0_336]) ).
cnf(refute_0_338,plain,
e11 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_0_337,refute_0_335]) ).
cnf(refute_0_339,plain,
( op1(e12,e13) != e11
| e11 = op1(e12,e13) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e11))]]) ).
cnf(refute_0_340,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_0_339,refute_0_338]) ).
cnf(refute_0_341,plain,
op1(e12,e13) = e12,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_0_334,refute_0_340]) ).
cnf(refute_0_342,plain,
( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_0_343,plain,
( op1(e12,e11) != e12
| op1(e12,e11) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
op1(e12,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_0_343,refute_0_321]) ).
cnf(refute_0_345,plain,
op1(e13,e11) = e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_0_320,refute_0_344]) ).
cnf(refute_0_346,plain,
( e13 != e13
| op1(e13,e11) != e13
| e13 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_0_347,plain,
( e13 != e13
| e13 = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
( e13 != e13
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e11)) )],[refute_0_347,refute_0_258]) ).
cnf(refute_0_349,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_0_350,plain,
op1(e10,e10) = e13,
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_349,refute_0_348]) ).
cnf(refute_0_351,plain,
h4(op1(e10,e10)) = h4(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).
cnf(refute_0_352,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_0_353,plain,
( op1(e10,e10) != e13
| h4(op1(e10,e10)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
h4(op1(e10,e10)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_350,refute_0_353]) ).
cnf(refute_0_355,plain,
( h4(e13) != e20
| h4(op1(e10,e10)) != h4(e13)
| h4(op1(e10,e10)) = e20 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_0_356,plain,
( h4(e13) != e20
| h4(op1(e10,e10)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e13)) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
h4(op1(e10,e10)) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_0_93,refute_0_356]) ).
cnf(refute_0_358,plain,
( e20 != h1(e10)
| h4(op1(e10,e10)) != e20
| h4(op1(e10,e10)) = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),e20) ),[1],$fot(h1(e10))]]) ).
cnf(refute_0_359,plain,
( e20 != h1(e10)
| h4(op1(e10,e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e20) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
e20 != h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) )],[refute_0_359,refute_0_220]) ).
cnf(refute_0_361,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e13) != e22
| h1(e10) = op2(e22,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_0_362,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e10) = e20
| h1(e10) = op2(e22,h1(e13)) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_0_200,refute_0_361]) ).
cnf(refute_0_363,plain,
( h1(e10) = e20
| h1(e10) = op2(e22,h1(e13)) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_0_173,refute_0_362]) ).
cnf(refute_0_364,plain,
( h1(e10) != op2(e22,h1(e13))
| h1(e13) != e22
| h1(e10) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e22,h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_0_365,plain,
( h1(e10) != op2(e22,h1(e13))
| h1(e10) = e20
| h1(e10) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_0_200,refute_0_364]) ).
cnf(refute_0_366,plain,
( h1(e10) = e20
| h1(e10) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e22,h1(e13))) )],[refute_0_363,refute_0_365]) ).
cnf(refute_0_367,plain,
( h1(e10) != op2(e22,e22)
| op2(e22,e22) != e23
| h1(e10) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_0_368,plain,
( h1(e10) != op2(e22,e22)
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_14,refute_0_367]) ).
cnf(refute_0_369,plain,
( h1(e10) = e20
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e22,e22)) )],[refute_0_366,refute_0_368]) ).
cnf(refute_0_370,plain,
( e20 != e20
| h1(e10) != e20
| e20 = h1(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h1(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_0_371,plain,
( e20 != e20
| e20 = h1(e10)
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
( e20 != e20
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(e20,h1(e10)) )],[refute_0_371,refute_0_360]) ).
cnf(refute_0_373,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_0_374,plain,
h1(e10) = e23,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_373,refute_0_372]) ).
cnf(refute_0_375,plain,
( h1(e10) != e20
| h1(e10) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e20) ),[0],$fot(e23)]]) ).
cnf(refute_0_376,plain,
( h1(e10) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
( e23 = e20
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_0_200,refute_0_376]) ).
cnf(refute_0_378,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_0_379,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_0_378,refute_0_199]) ).
cnf(refute_0_380,plain,
h1(e13) = e22,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_0_377,refute_0_379]) ).
cnf(refute_0_381,plain,
( h1(e13) != e22
| h1(e13) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[0],$fot(e22)]]) ).
cnf(refute_0_382,plain,
( h1(e13) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
( e22 = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_0_60,refute_0_382]) ).
cnf(refute_0_384,plain,
e22 != e23,
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_385,plain,
op2(e20,e21) = e23,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
( op2(e20,e21) != e20
| op2(e20,e21) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(e23)]]) ).
cnf(refute_0_387,plain,
( op2(e20,e21) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
( e23 = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_0_0,refute_0_387]) ).
cnf(refute_0_389,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_390,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_391,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_392,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_0_393,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_14,refute_0_392]) ).
cnf(refute_0_394,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_0_393,refute_0_391]) ).
cnf(refute_0_395,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_0_396,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_0_395,refute_0_394]) ).
cnf(refute_0_397,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_0_390,refute_0_396]) ).
cnf(refute_0_398,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_399,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_0_400,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_74,refute_0_399]) ).
cnf(refute_0_401,plain,
op2(e23,e22) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_0_400,refute_0_398]) ).
cnf(refute_0_402,plain,
( h4(e13) != e20
| op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_0_403,plain,
( op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_0_93,refute_0_402]) ).
cnf(refute_0_404,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),h4(e13)) )],[refute_0_403,refute_0_401]) ).
cnf(refute_0_405,plain,
( op2(e23,e22) = e21
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_0_397,refute_0_404]) ).
cnf(refute_0_406,plain,
( op2(e23,e21) != e21
| op2(e23,e22) != e21
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_0_407,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = op2(e23,e22)
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
( op2(e23,e21) != e21
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_0_407,refute_0_389]) ).
cnf(refute_0_409,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_410,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_411,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_0_412,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_74,refute_0_411]) ).
cnf(refute_0_413,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_0_412,refute_0_410]) ).
cnf(refute_0_414,plain,
( h4(e13) != e20
| op2(e23,e21) != e20
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_0_415,plain,
( op2(e23,e21) != e20
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_0_93,refute_0_414]) ).
cnf(refute_0_416,plain,
op2(e23,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_0_415,refute_0_413]) ).
cnf(refute_0_417,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_0_409,refute_0_416]) ).
cnf(refute_0_418,plain,
( e21 != e21
| op2(e23,e21) != e21
| op2(e23,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_0_419,plain,
( e21 != e21
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
( e21 != e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_0_419,refute_0_408]) ).
cnf(refute_0_421,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_0_422,plain,
( op2(e23,e21) = e22
| op2(e23,e21) = e23
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_421,refute_0_420]) ).
cnf(refute_0_423,plain,
h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_424,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = h1(e10) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(op2(e20,e20),op2(e20,e20))))]]) ).
cnf(refute_0_425,plain,
op2(op2(e20,e20),op2(e20,e20)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_0_159,refute_0_424]) ).
cnf(refute_0_426,plain,
op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)))]]) ).
cnf(refute_0_427,plain,
( op2(op2(e20,e20),op2(e20,e20)) != h1(e10)
| op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)) != op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
| op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)) = op2(h1(e10),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)),op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))) ),[1,0],$fot(h1(e10))]]) ).
cnf(refute_0_428,plain,
( op2(op2(e20,e20),op2(e20,e20)) != h1(e10)
| op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)) = op2(h1(e10),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)),op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)) = op2(h1(e10),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),h1(e10)) )],[refute_0_425,refute_0_428]) ).
cnf(refute_0_430,plain,
( h1(e11) != op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
| op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)) != op2(h1(e10),op2(e20,e20))
| h1(e11) = op2(h1(e10),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e10),op2(e20,e20))) ),[0],$fot(op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)))]]) ).
cnf(refute_0_431,plain,
( h1(e11) != op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
| h1(e11) = op2(h1(e10),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)),op2(h1(e10),op2(e20,e20))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
h1(e11) = op2(h1(e10),op2(e20,e20)),
inference(resolve,[$cnf( $equal(h1(e11),op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))) )],[refute_0_423,refute_0_431]) ).
cnf(refute_0_433,plain,
op2(h1(e10),op2(e20,e20)) = op2(h1(e10),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e10),op2(e20,e20)))]]) ).
cnf(refute_0_434,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e10),op2(e20,e20)) != op2(h1(e10),op2(e20,e20))
| op2(h1(e10),op2(e20,e20)) = op2(h1(e10),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),op2(e20,e20)),op2(h1(e10),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_0_435,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e10),op2(e20,e20)) = op2(h1(e10),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),op2(e20,e20)),op2(h1(e10),op2(e20,e20))) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
op2(h1(e10),op2(e20,e20)) = op2(h1(e10),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_7,refute_0_435]) ).
cnf(refute_0_437,plain,
( h1(e11) != op2(h1(e10),op2(e20,e20))
| op2(h1(e10),op2(e20,e20)) != op2(h1(e10),h1(e13))
| h1(e11) = op2(h1(e10),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e10),h1(e13))) ),[0],$fot(op2(h1(e10),op2(e20,e20)))]]) ).
cnf(refute_0_438,plain,
( h1(e11) != op2(h1(e10),op2(e20,e20))
| h1(e11) = op2(h1(e10),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),op2(e20,e20)),op2(h1(e10),h1(e13))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
h1(e11) = op2(h1(e10),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e10),op2(e20,e20))) )],[refute_0_432,refute_0_438]) ).
cnf(refute_0_440,plain,
( h1(e11) != op2(h1(e10),h1(e13))
| h1(e13) != e22
| h1(e11) = op2(h1(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(h1(e10),h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_0_441,plain,
( h1(e11) != op2(h1(e10),h1(e13))
| h1(e10) = e20
| h1(e11) = op2(h1(e10),e22) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_0_200,refute_0_440]) ).
cnf(refute_0_442,plain,
( h1(e10) = e20
| h1(e11) = op2(h1(e10),e22) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e10),h1(e13))) )],[refute_0_439,refute_0_441]) ).
cnf(refute_0_443,plain,
( e23 = e20
| h1(e11) = op2(h1(e10),e22) ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_0_442,refute_0_376]) ).
cnf(refute_0_444,plain,
op2(h1(e10),e22) = op2(h1(e10),e22),
introduced(tautology,[refl,[$fot(op2(h1(e10),e22))]]) ).
cnf(refute_0_445,plain,
( h1(e10) != e23
| op2(h1(e10),e22) != op2(h1(e10),e22)
| op2(h1(e10),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e22),op2(h1(e10),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_446,plain,
( h1(e10) != e23
| op2(h1(e10),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e22),op2(h1(e10),e22)) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
op2(h1(e10),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_0_374,refute_0_446]) ).
cnf(refute_0_448,plain,
( h1(e11) != op2(h1(e10),e22)
| op2(h1(e10),e22) != op2(e23,e22)
| h1(e11) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e23,e22)) ),[0],$fot(op2(h1(e10),e22))]]) ).
cnf(refute_0_449,plain,
( h1(e11) != op2(h1(e10),e22)
| h1(e11) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e22),op2(e23,e22)) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
( e23 = e20
| h1(e11) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e10),e22)) )],[refute_0_443,refute_0_449]) ).
cnf(refute_0_451,plain,
h1(e11) = op2(e23,e22),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_0_450,refute_0_379]) ).
cnf(refute_0_452,plain,
( h1(e11) != op2(e23,e22)
| op2(e23,e22) = h1(e11) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_0_453,plain,
op2(e23,e22) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,e22)) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
( op2(e23,e22) != e22
| op2(e23,e22) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_0_455,plain,
( op2(e23,e22) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),h1(e11)) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
( h1(e11) = e22
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_0_422,refute_0_455]) ).
cnf(refute_0_457,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_0_74]) ).
cnf(refute_0_458,plain,
( e23 != op2(e23,e21)
| op2(e20,e21) != e23
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_0_459,plain,
( e23 != op2(e23,e21)
| h1(e13) = e23
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_0_60,refute_0_458]) ).
cnf(refute_0_460,plain,
( e23 != op2(e23,e21)
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_0_459,refute_0_457]) ).
cnf(refute_0_461,plain,
( e23 != op2(e23,e21)
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_0_460,refute_0_382]) ).
cnf(refute_0_462,plain,
e23 != op2(e23,e21),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_0_461,refute_0_384]) ).
cnf(refute_0_463,plain,
( op2(e23,e21) != e23
| e23 = op2(e23,e21) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e23))]]) ).
cnf(refute_0_464,plain,
op2(e23,e21) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_0_463,refute_0_462]) ).
cnf(refute_0_465,plain,
( h1(e11) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_0_456,refute_0_464]) ).
cnf(refute_0_466,plain,
( op2(e21,e22) != e21
| op2(e20,e21) = e20
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_467,plain,
( op2(e21,e22) != e21
| e23 = e20
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_0_466,refute_0_387]) ).
cnf(refute_0_468,plain,
( op2(e21,e22) != e21
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_0_467,refute_0_379]) ).
cnf(refute_0_469,plain,
op2(e21,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_0_468,refute_0_464]) ).
cnf(refute_0_470,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_0_76]) ).
cnf(refute_0_471,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_0_472,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_14,refute_0_471]) ).
cnf(refute_0_473,plain,
( e23 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_0_470,refute_0_472]) ).
cnf(refute_0_474,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_0_475,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_0_474,refute_0_59]) ).
cnf(refute_0_476,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_0_473,refute_0_475]) ).
cnf(refute_0_477,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_0_77]) ).
cnf(refute_0_478,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e23) != h3(e11)
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_0_479,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_0_35,refute_0_478]) ).
cnf(refute_0_480,plain,
op2(e20,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_0_479,refute_0_477]) ).
cnf(refute_0_481,plain,
( h3(e11) != e21
| op2(e20,e22) != e21
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_0_482,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_55,refute_0_481]) ).
cnf(refute_0_483,plain,
op2(e20,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_0_482,refute_0_480]) ).
cnf(refute_0_484,plain,
( op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_0_476,refute_0_483]) ).
cnf(refute_0_485,plain,
( op2(e23,e22) != e21
| op2(e23,e22) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_0_486,plain,
( op2(e23,e22) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),h1(e11)) )],[refute_0_453,refute_0_485]) ).
cnf(refute_0_487,plain,
( h1(e11) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_0_484,refute_0_486]) ).
cnf(refute_0_488,plain,
( e21 != e21
| op2(e21,e22) != e21
| op2(e21,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_0_489,plain,
( e21 != e21
| h1(e11) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
( e21 != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_0_489,refute_0_469]) ).
cnf(refute_0_491,plain,
h1(e11) = e21,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_421,refute_0_490]) ).
cnf(refute_0_492,plain,
( h1(e11) != e21
| h1(e11) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e22) ),[0],$fot(e21)]]) ).
cnf(refute_0_493,plain,
( h1(e11) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
( e21 = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_0_465,refute_0_493]) ).
cnf(refute_0_495,plain,
e21 != e22,
inference(canonicalize,[],[normalize_0_78]) ).
cnf(refute_0_496,plain,
op2(e23,e21) = e22,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
( op2(e23,e21) != e22
| op2(e23,e21) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e22)]]) ).
cnf(refute_0_498,plain,
( op2(e23,e21) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
( e22 = e23
| e23 = e20
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_0_388,refute_0_498]) ).
cnf(refute_0_500,plain,
( e23 = e20
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_0_499,refute_0_384]) ).
cnf(refute_0_501,plain,
op2(e22,e21) = e22,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_0_500,refute_0_379]) ).
cnf(refute_0_502,plain,
op2(e22,e21) != op2(e22,e23),
inference(canonicalize,[],[normalize_0_79]) ).
cnf(refute_0_503,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(canonicalize,[],[normalize_0_82]) ).
cnf(refute_0_504,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_0_505,plain,
( op2(e20,e23) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_0_35,refute_0_504]) ).
cnf(refute_0_506,plain,
( h3(e11) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_0_503,refute_0_505]) ).
cnf(refute_0_507,plain,
( h3(e11) != e20
| h3(e11) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e20) ),[0],$fot(e21)]]) ).
cnf(refute_0_508,plain,
( h3(e11) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_55,refute_0_507]) ).
cnf(refute_0_509,plain,
( e21 = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_0_506,refute_0_508]) ).
cnf(refute_0_510,plain,
e20 != e21,
inference(canonicalize,[],[normalize_0_83]) ).
cnf(refute_0_511,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_0_512,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_0_511,refute_0_510]) ).
cnf(refute_0_513,plain,
( op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_0_509,refute_0_512]) ).
cnf(refute_0_514,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_0_84]) ).
cnf(refute_0_515,plain,
( h3(e11) != op2(e21,e23)
| op2(e20,e23) != h3(e11)
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h3(e11)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_0_516,plain,
( h3(e11) != op2(e21,e23)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_0_35,refute_0_515]) ).
cnf(refute_0_517,plain,
h3(e11) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_0_516,refute_0_514]) ).
cnf(refute_0_518,plain,
( e21 != op2(e21,e23)
| h3(e11) != e21
| h3(e11) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_0_519,plain,
( e21 != op2(e21,e23)
| h3(e11) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_55,refute_0_518]) ).
cnf(refute_0_520,plain,
e21 != op2(e21,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e21,e23)) )],[refute_0_519,refute_0_517]) ).
cnf(refute_0_521,plain,
( op2(e21,e23) != e21
| e21 = op2(e21,e23) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e21))]]) ).
cnf(refute_0_522,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e21,e23)) )],[refute_0_521,refute_0_520]) ).
cnf(refute_0_523,plain,
op2(e22,e23) = e22,
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_0_513,refute_0_522]) ).
cnf(refute_0_524,plain,
( op2(e22,e21) != e22
| op2(e22,e23) != e22
| op2(e22,e21) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_0_525,plain,
( op2(e22,e21) != e22
| op2(e22,e21) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
op2(e22,e21) != e22,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e23)) )],[refute_0_525,refute_0_502]) ).
cnf(refute_0_527,plain,
$false,
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_0_501,refute_0_526]) ).
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,
( 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_1,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_1_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_1_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_1_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_7,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_0,normalize_1_2,normalize_1_4,normalize_1_6]) ).
fof(normalize_1_8,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
( ~ definitionFOFtoCNF_10
<=> ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_1_10,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_10
| ( 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_8,normalize_1_9]) ).
fof(normalize_1_11,plain,
( ~ definitionFOFtoCNF_11
<=> ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_1_12,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ),
inference(simplify,[],[normalize_1_10,normalize_1_11]) ).
fof(normalize_1_13,plain,
( ( h3(e10) != 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))
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 )
& ( h3(e11) != 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))
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 )
& ( h3(e12) != 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))
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 )
& ( h3(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))
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ) ),
inference(clausify,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
( h3(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))
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_1_13]) ).
fof(normalize_1_15,plain,
h3(e10) = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_16,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_1_17,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_18,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_1_19,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_20,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_21,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_1_22,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_1_21]) ).
fof(normalize_1_23,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_24,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_25,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_26,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_27,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_28,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_29,plain,
h3(e13) = op2(e22,e22),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_30,plain,
( ( h3(e10) != e20
| ~ definitionFOFtoCNF_10 )
& ( h3(e11) != e20
| ~ definitionFOFtoCNF_10 )
& ( h3(e12) != e20
| ~ definitionFOFtoCNF_10 )
& ( h3(e13) != e20
| ~ definitionFOFtoCNF_10 )
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20
| definitionFOFtoCNF_10 ) ),
inference(clausify,[],[normalize_1_9]) ).
fof(normalize_1_31,plain,
( h3(e10) != e20
| ~ definitionFOFtoCNF_10 ),
inference(conjunct,[],[normalize_1_30]) ).
fof(normalize_1_32,plain,
( ( h3(e10) != e21
| ~ definitionFOFtoCNF_11 )
& ( h3(e11) != e21
| ~ definitionFOFtoCNF_11 )
& ( h3(e12) != e21
| ~ definitionFOFtoCNF_11 )
& ( h3(e13) != e21
| ~ definitionFOFtoCNF_11 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21
| definitionFOFtoCNF_11 ) ),
inference(clausify,[],[normalize_1_11]) ).
fof(normalize_1_33,plain,
( h3(e11) != e21
| ~ definitionFOFtoCNF_11 ),
inference(conjunct,[],[normalize_1_32]) ).
fof(normalize_1_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_1_35,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_36,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_37,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_1_36]) ).
fof(normalize_1_38,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_39,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_40,plain,
op1(e11,e10) != op1(e11,e12),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_41,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_1_36]) ).
fof(normalize_1_42,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_43,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_44,plain,
( ( ( op1(e10,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) )
& ( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) )
& ( ( op1(e13,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e12,e13) = e12 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_1_45,plain,
( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_1_44]) ).
fof(normalize_1_46,plain,
( ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e12,e13) != e12 )
& ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e13,e12) = e13 )
& ( op1(e12,e10) != e12
| op1(e12,e13) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e10) != e12
| op1(e11,e12) = e11
| op1(e13,e12) = e13 )
& ( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e10,e12) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e12) = e10
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e12
| op1(e10,e12) = e10
| op1(e11,e12) = e11 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ) ),
inference(clausify,[],[normalize_1_45]) ).
fof(normalize_1_47,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_1_46]) ).
fof(normalize_1_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_1_49,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(conjunct,[],[normalize_1_48]) ).
fof(normalize_1_50,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_1_51,plain,
e10 != e13,
inference(conjunct,[],[normalize_1_50]) ).
fof(normalize_1_52,plain,
e10 != e11,
inference(conjunct,[],[normalize_1_50]) ).
fof(normalize_1_53,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_54,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_55,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_56,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_1_21]) ).
fof(normalize_1_57,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(conjunct,[],[normalize_1_36]) ).
fof(normalize_1_58,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_59,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_60,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_1_21]) ).
fof(normalize_1_61,plain,
( ( op1(e10,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) ),
inference(conjunct,[],[normalize_1_44]) ).
fof(normalize_1_62,plain,
( ( op1(e10,e11) != e10
| op1(e10,e12) != e10
| op1(e10,e13) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e12) != e10
| op1(e13,e10) = e13 )
& ( op1(e10,e11) != e10
| op1(e10,e13) != e10
| op1(e12,e10) = e12 )
& ( op1(e10,e11) != e10
| op1(e12,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e10,e12) != e10
| op1(e10,e13) != e10
| op1(e11,e10) = e11 )
& ( op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 )
& ( op1(e10,e13) != e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12 )
& ( op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 ) ),
inference(clausify,[],[normalize_1_61]) ).
fof(normalize_1_63,plain,
( op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_1_62]) ).
fof(normalize_1_64,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_65,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_1_48]) ).
fof(normalize_1_66,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_67,plain,
e11 != e13,
inference(conjunct,[],[normalize_1_50]) ).
fof(normalize_1_68,plain,
( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) ),
inference(conjunct,[],[normalize_1_44]) ).
fof(normalize_1_69,plain,
( ( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e11,e13) != e11 )
& ( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e13,e11) = e13 )
& ( op1(e11,e10) != e11
| op1(e11,e13) != e11
| op1(e12,e11) = e12 )
& ( op1(e11,e10) != e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e11,e12) != e11
| op1(e11,e13) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e12) != e11
| op1(e10,e11) = e10
| op1(e13,e11) = e13 )
& ( op1(e11,e13) != e11
| op1(e10,e11) = e10
| op1(e12,e11) = e12 )
& ( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ) ),
inference(clausify,[],[normalize_1_68]) ).
fof(normalize_1_70,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_1_69]) ).
fof(normalize_1_71,plain,
op1(e10,e11) != op1(e10,e12),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_72,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_73,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_1_36]) ).
fof(normalize_1_74,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_75,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_76,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_77,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_1_78,plain,
e20 != e23,
inference(conjunct,[],[normalize_1_77]) ).
fof(normalize_1_79,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_80,plain,
( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 ),
inference(conjunct,[],[normalize_1_79]) ).
fof(normalize_1_81,plain,
e20 != e21,
inference(conjunct,[],[normalize_1_77]) ).
fof(normalize_1_82,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(conjunct,[],[normalize_1_21]) ).
fof(normalize_1_83,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_84,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_1_83]) ).
fof(normalize_1_85,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_86,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_1_85]) ).
fof(normalize_1_87,plain,
( ( ( op2(e20,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) )
& ( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) )
& ( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_1_88,plain,
( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_1_87]) ).
fof(normalize_1_89,plain,
( ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e22,e23) != e22 )
& ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e23,e22) = e23 )
& ( op2(e22,e20) != e22
| op2(e22,e23) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e20) != e22
| op2(e21,e22) = e21
| op2(e23,e22) = e23 )
& ( op2(e22,e21) != e22
| op2(e22,e23) != e22
| op2(e20,e22) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e22) = e20
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e22
| op2(e20,e22) = e20
| op2(e21,e22) = e21 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ) ),
inference(clausify,[],[normalize_1_88]) ).
fof(normalize_1_90,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_1_89]) ).
fof(normalize_1_91,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_1_85]) ).
fof(normalize_1_92,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
inference(conjunct,[],[normalize_1_79]) ).
fof(normalize_1_93,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_1_85]) ).
fof(normalize_1_94,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_1_85]) ).
fof(normalize_1_95,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_1_79]) ).
fof(normalize_1_96,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_1_85]) ).
fof(normalize_1_97,plain,
e21 != e23,
inference(conjunct,[],[normalize_1_77]) ).
fof(normalize_1_98,plain,
h4(op1(e10,e11)) != op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_99,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(conjunct,[],[normalize_1_48]) ).
fof(normalize_1_100,plain,
e10 != e12,
inference(conjunct,[],[normalize_1_50]) ).
fof(normalize_1_101,plain,
e11 != e12,
inference(conjunct,[],[normalize_1_50]) ).
fof(normalize_1_102,plain,
e12 != e13,
inference(conjunct,[],[normalize_1_50]) ).
fof(normalize_1_103,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_1_79]) ).
fof(normalize_1_104,plain,
e20 != e22,
inference(conjunct,[],[normalize_1_77]) ).
fof(normalize_1_105,plain,
e22 != e23,
inference(conjunct,[],[normalize_1_77]) ).
fof(normalize_1_106,plain,
e21 != e22,
inference(conjunct,[],[normalize_1_77]) ).
fof(normalize_1_107,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_1_36]) ).
fof(normalize_1_108,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_109,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_110,plain,
op1(e13,e10) != op1(e13,e11),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_111,plain,
( op1(e11,e10) != e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_1_69]) ).
fof(normalize_1_112,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_1_48]) ).
fof(normalize_1_113,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_114,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_115,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_1_48]) ).
fof(normalize_1_116,plain,
( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ),
inference(conjunct,[],[normalize_1_87]) ).
fof(normalize_1_117,plain,
( ( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e23,e22) != e23 )
& ( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e20) != e23
| op2(e23,e22) != e23
| op2(e21,e23) = e21 )
& ( op2(e23,e20) != e23
| op2(e21,e23) = e21
| op2(e22,e23) = e22 )
& ( op2(e23,e21) != e23
| op2(e23,e22) != e23
| op2(e20,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e23) = e20
| op2(e22,e23) = e22 )
& ( op2(e23,e22) != e23
| op2(e20,e23) = e20
| op2(e21,e23) = e21 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ) ),
inference(clausify,[],[normalize_1_116]) ).
fof(normalize_1_118,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(conjunct,[],[normalize_1_117]) ).
fof(normalize_1_119,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_1_79]) ).
fof(normalize_1_120,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_1_85]) ).
fof(normalize_1_121,plain,
op1(e12,e10) != op1(e12,e11),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_122,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(conjunct,[],[normalize_1_48]) ).
fof(normalize_1_123,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(conjunct,[],[normalize_1_36]) ).
fof(normalize_1_124,plain,
op2(e22,e21) != op2(e22,e23),
inference(conjunct,[],[normalize_1_85]) ).
fof(normalize_1_125,plain,
op2(e22,e20) != op2(e22,e21),
inference(conjunct,[],[normalize_1_85]) ).
fof(normalize_1_126,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(conjunct,[],[normalize_1_79]) ).
fof(normalize_1_127,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_1_85]) ).
fof(normalize_1_128,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(conjunct,[],[normalize_1_83]) ).
fof(normalize_1_129,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_1_85]) ).
fof(normalize_1_130,plain,
( ( op2(e20,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) ),
inference(conjunct,[],[normalize_1_87]) ).
fof(normalize_1_131,plain,
( ( op2(e20,e21) != e20
| op2(e20,e22) != e20
| op2(e20,e23) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e22) != e20
| op2(e23,e20) = e23 )
& ( op2(e20,e21) != e20
| op2(e20,e23) != e20
| op2(e22,e20) = e22 )
& ( op2(e20,e21) != e20
| op2(e22,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e20,e22) != e20
| op2(e20,e23) != e20
| op2(e21,e20) = e21 )
& ( op2(e20,e22) != e20
| op2(e21,e20) = e21
| op2(e23,e20) = e23 )
& ( op2(e20,e23) != e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22 )
& ( op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 ) ),
inference(clausify,[],[normalize_1_130]) ).
fof(normalize_1_132,plain,
( op2(e20,e22) != e20
| op2(e21,e20) = e21
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_1_131]) ).
fof(normalize_1_133,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_1_79]) ).
fof(normalize_1_134,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(conjunct,[],[normalize_1_48]) ).
fof(normalize_1_135,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_136,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(conjunct,[],[normalize_1_83]) ).
fof(normalize_1_137,plain,
op2(e21,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_1_85]) ).
fof(normalize_1_138,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_1_85]) ).
fof(normalize_1_139,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(conjunct,[],[normalize_1_79]) ).
fof(normalize_1_140,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_1_85]) ).
cnf(refute_1_0,plain,
( h3(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))
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_1_14]) ).
cnf(refute_1_1,plain,
h3(e10) = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_2,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_1_17]) ).
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( $equal(X,X) )],[refute_1_3,refute_1_4]) ).
cnf(refute_1_6,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = e20 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_1_7,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_1_2,refute_1_6]) ).
cnf(refute_1_8,plain,
( h3(e10) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != e20
| h3(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),e20) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_1_9,plain,
( h3(e10) != op2(op2(e22,e22),op2(e22,e22))
| h3(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e20) )],[refute_1_7,refute_1_8]) ).
cnf(refute_1_10,plain,
h3(e10) = e20,
inference(resolve,[$cnf( $equal(h3(e10),op2(op2(e22,e22),op2(e22,e22))) )],[refute_1_1,refute_1_9]) ).
cnf(refute_1_11,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_12,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_1_20]) ).
cnf(refute_1_13,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_1_14,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_1_12,refute_1_13]) ).
cnf(refute_1_15,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_1_16,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_1_17,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_1_15,refute_1_16]) ).
cnf(refute_1_18,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_14,refute_1_17]) ).
cnf(refute_1_19,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_1_20,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_1_21,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_1_19,refute_1_20]) ).
cnf(refute_1_22,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_14,refute_1_21]) ).
cnf(refute_1_23,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_24,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_5,refute_1_23]) ).
cnf(refute_1_25,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_1_26,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_1_22,refute_1_25]) ).
cnf(refute_1_27,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_1_18,refute_1_26]) ).
cnf(refute_1_28,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_1_29,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_1_27,refute_1_28]) ).
cnf(refute_1_30,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_1_11,refute_1_29]) ).
cnf(refute_1_31,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_1_32,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_1_30,refute_1_31]) ).
cnf(refute_1_33,plain,
h3(op1(e13,e13)) = h3(op1(e13,e13)),
introduced(tautology,[refl,[$fot(h3(op1(e13,e13)))]]) ).
cnf(refute_1_34,plain,
( h3(op1(e13,e13)) != h3(op1(e13,e13))
| op1(e13,e13) != e10
| h3(op1(e13,e13)) = h3(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e13)),h3(op1(e13,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_1_35,plain,
( op1(e13,e13) != e10
| h3(op1(e13,e13)) = h3(e10) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e13)),h3(op1(e13,e13))) )],[refute_1_33,refute_1_34]) ).
cnf(refute_1_36,plain,
h3(op1(e13,e13)) = h3(e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_32,refute_1_35]) ).
cnf(refute_1_37,plain,
( h3(e10) != e20
| h3(op1(e13,e13)) != h3(e10)
| h3(op1(e13,e13)) = e20 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h3(op1(e13,e13)))),bind(Y,$fot(h3(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_1_38,plain,
( h3(e10) != e20
| h3(op1(e13,e13)) = e20 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e13)),h3(e10)) )],[refute_1_36,refute_1_37]) ).
cnf(refute_1_39,plain,
h3(op1(e13,e13)) = e20,
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_10,refute_1_38]) ).
cnf(refute_1_40,plain,
( e20 != op2(h3(e13),h3(e13))
| h3(op1(e13,e13)) != e20
| h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e13)),e20) ),[1],$fot(op2(h3(e13),h3(e13)))]]) ).
cnf(refute_1_41,plain,
( e20 != op2(h3(e13),h3(e13))
| h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e13)),e20) )],[refute_1_39,refute_1_40]) ).
cnf(refute_1_42,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_1_22]) ).
cnf(refute_1_43,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_1_44,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_1_42,refute_1_43]) ).
cnf(refute_1_45,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_1_23]) ).
cnf(refute_1_46,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_1_47,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_1_45,refute_1_46]) ).
cnf(refute_1_48,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_1_49,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_50,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_1_48,refute_1_49]) ).
cnf(refute_1_51,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_47,refute_1_50]) ).
cnf(refute_1_52,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_1_53,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_1_54,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_1_52,refute_1_53]) ).
cnf(refute_1_55,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_47,refute_1_54]) ).
cnf(refute_1_56,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_1_57,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_1_55,refute_1_56]) ).
cnf(refute_1_58,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_1_51,refute_1_57]) ).
cnf(refute_1_59,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_1_60,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_1_58,refute_1_59]) ).
cnf(refute_1_61,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_44,refute_1_60]) ).
cnf(refute_1_62,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_1_63,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_1_61,refute_1_62]) ).
cnf(refute_1_64,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_1_2,refute_1_63]) ).
cnf(refute_1_65,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_1_66,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_1_64,refute_1_65]) ).
cnf(refute_1_67,plain,
( h4(e13) != e20
| h4(e13) != op2(e23,e23)
| e20 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e23)) ),[0],$fot(e20)]]) ).
cnf(refute_1_68,plain,
( h4(e13) != op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_1_66,refute_1_67]) ).
cnf(refute_1_69,plain,
e20 = op2(e23,e23),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_1_42,refute_1_68]) ).
cnf(refute_1_70,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_1_71,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_1_69,refute_1_70]) ).
cnf(refute_1_72,plain,
op2(e23,h3(e13)) = op2(e23,h3(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h3(e13)))]]) ).
cnf(refute_1_73,plain,
( h3(e13) != e23
| op2(e23,h3(e13)) != op2(e23,h3(e13))
| op2(e23,h3(e13)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h3(e13)),op2(e23,h3(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_74,plain,
( h3(e13) != e23
| op2(e23,h3(e13)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e13)),op2(e23,h3(e13))) )],[refute_1_72,refute_1_73]) ).
cnf(refute_1_75,plain,
op2(h3(e13),h3(e13)) = op2(h3(e13),h3(e13)),
introduced(tautology,[refl,[$fot(op2(h3(e13),h3(e13)))]]) ).
cnf(refute_1_76,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e13)) != op2(h3(e13),h3(e13))
| op2(h3(e13),h3(e13)) = op2(e23,h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e13),h3(e13)),op2(h3(e13),h3(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_1_77,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e13)) = op2(e23,h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e13)),op2(h3(e13),h3(e13))) )],[refute_1_75,refute_1_76]) ).
cnf(refute_1_78,plain,
( op2(e23,h3(e13)) != op2(e23,e23)
| op2(h3(e13),h3(e13)) != op2(e23,h3(e13))
| op2(h3(e13),h3(e13)) = op2(e23,e23) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e13),h3(e13)))),bind(Y,$fot(op2(e23,h3(e13)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_1_79,plain,
( h3(e13) != e23
| op2(e23,h3(e13)) != op2(e23,e23)
| op2(h3(e13),h3(e13)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e13)),op2(e23,h3(e13))) )],[refute_1_77,refute_1_78]) ).
cnf(refute_1_80,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e13)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e13)),op2(e23,e23)) )],[refute_1_74,refute_1_79]) ).
cnf(refute_1_81,plain,
( op2(e23,e23) != e20
| op2(h3(e13),h3(e13)) != op2(e23,e23)
| op2(h3(e13),h3(e13)) = e20 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e13),h3(e13)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e20))]]) ).
cnf(refute_1_82,plain,
( h3(e13) != e23
| op2(e23,e23) != e20
| op2(h3(e13),h3(e13)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e13)),op2(e23,e23)) )],[refute_1_80,refute_1_81]) ).
cnf(refute_1_83,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e13)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_71,refute_1_82]) ).
cnf(refute_1_84,plain,
( e20 != e20
| op2(h3(e13),h3(e13)) != e20
| e20 = op2(h3(e13),h3(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(h3(e13),h3(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_1_85,plain,
( e20 != e20
| h3(e13) != e23
| e20 = op2(h3(e13),h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e13)),e20) )],[refute_1_83,refute_1_84]) ).
cnf(refute_1_86,plain,
( e20 != e20
| h3(e13) != e23
| h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
inference(resolve,[$cnf( $equal(e20,op2(h3(e13),h3(e13))) )],[refute_1_85,refute_1_41]) ).
cnf(refute_1_87,plain,
( e20 != e20
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e13)),op2(h3(e13),h3(e13))) )],[refute_1_86,refute_1_0]) ).
cnf(refute_1_88,plain,
h3(e12) = e22,
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_89,plain,
op2(e23,h3(e12)) = op2(e23,h3(e12)),
introduced(tautology,[refl,[$fot(op2(e23,h3(e12)))]]) ).
cnf(refute_1_90,plain,
( h3(e12) != e22
| op2(e23,h3(e12)) != op2(e23,h3(e12))
| op2(e23,h3(e12)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h3(e12)),op2(e23,h3(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_1_91,plain,
( h3(e12) != e22
| op2(e23,h3(e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e12)),op2(e23,h3(e12))) )],[refute_1_89,refute_1_90]) ).
cnf(refute_1_92,plain,
op2(e23,h3(e12)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_1_88,refute_1_91]) ).
cnf(refute_1_93,plain,
op2(h3(e13),h3(e12)) = op2(h3(e13),h3(e12)),
introduced(tautology,[refl,[$fot(op2(h3(e13),h3(e12)))]]) ).
cnf(refute_1_94,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e12)) != op2(h3(e13),h3(e12))
| op2(h3(e13),h3(e12)) = op2(e23,h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e13),h3(e12)),op2(h3(e13),h3(e12))) ),[1,0],$fot(e23)]]) ).
cnf(refute_1_95,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e12)) = op2(e23,h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e12)),op2(h3(e13),h3(e12))) )],[refute_1_93,refute_1_94]) ).
cnf(refute_1_96,plain,
( op2(e23,h3(e12)) != op2(e23,e22)
| op2(h3(e13),h3(e12)) != op2(e23,h3(e12))
| op2(h3(e13),h3(e12)) = op2(e23,e22) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e13),h3(e12)))),bind(Y,$fot(op2(e23,h3(e12)))),bind(Z,$fot(op2(e23,e22)))]]) ).
cnf(refute_1_97,plain,
( h3(e13) != e23
| op2(e23,h3(e12)) != op2(e23,e22)
| op2(h3(e13),h3(e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e12)),op2(e23,h3(e12))) )],[refute_1_95,refute_1_96]) ).
cnf(refute_1_98,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e12)),op2(e23,e22)) )],[refute_1_92,refute_1_97]) ).
cnf(refute_1_99,plain,
( h3(op1(e13,e12)) != op2(e23,e22)
| op2(h3(e13),h3(e12)) != op2(e23,e22)
| h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e13,e12)),op2(h3(e13),h3(e12))) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_1_100,plain,
( h3(e13) != e23
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e12)),op2(e23,e22)) )],[refute_1_98,refute_1_99]) ).
cnf(refute_1_101,plain,
( e20 != e20
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),op2(h3(e13),h3(e12))) )],[refute_1_100,refute_1_87]) ).
cnf(refute_1_102,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_1_24]) ).
cnf(refute_1_103,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_1_104,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_105,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_1_103,refute_1_104]) ).
cnf(refute_1_106,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e20) )],[refute_1_7,refute_1_105]) ).
cnf(refute_1_107,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,op2(e22,e22))) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_1_108,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_1_106,refute_1_107]) ).
cnf(refute_1_109,plain,
e21 = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(e21,op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_1_102,refute_1_108]) ).
cnf(refute_1_110,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_1_25]) ).
cnf(refute_1_111,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_1_112,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_113,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_1_111,refute_1_112]) ).
cnf(refute_1_114,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_47,refute_1_113]) ).
cnf(refute_1_115,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))),bind(Y,$fot(op2(e20,op2(e22,e22)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_1_116,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_1_106,refute_1_115]) ).
cnf(refute_1_117,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_1_114,refute_1_116]) ).
cnf(refute_1_118,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,e23)
| h3(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e20,e23)) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_1_119,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| h3(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,e23)) )],[refute_1_117,refute_1_118]) ).
cnf(refute_1_120,plain,
h3(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_1_110,refute_1_119]) ).
cnf(refute_1_121,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_1_122,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_1_120,refute_1_121]) ).
cnf(refute_1_123,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(e20,op2(e22,e22)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_1_124,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_1_114,refute_1_123]) ).
cnf(refute_1_125,plain,
op2(e20,op2(e22,e22)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_1_122,refute_1_124]) ).
cnf(refute_1_126,plain,
( e21 != op2(e20,op2(e22,e22))
| op2(e20,op2(e22,e22)) != h3(e11)
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[0],$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_1_127,plain,
( e21 != op2(e20,op2(e22,e22))
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),h3(e11)) )],[refute_1_125,refute_1_126]) ).
cnf(refute_1_128,plain,
e21 = h3(e11),
inference(resolve,[$cnf( $equal(e21,op2(e20,op2(e22,e22))) )],[refute_1_109,refute_1_127]) ).
cnf(refute_1_129,plain,
( e21 != h3(e11)
| h3(e11) = e21 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e21)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_1_130,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_1_128,refute_1_129]) ).
cnf(refute_1_131,plain,
op2(e23,h3(e11)) = op2(e23,h3(e11)),
introduced(tautology,[refl,[$fot(op2(e23,h3(e11)))]]) ).
cnf(refute_1_132,plain,
( h3(e11) != e21
| op2(e23,h3(e11)) != op2(e23,h3(e11))
| op2(e23,h3(e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h3(e11)),op2(e23,h3(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_133,plain,
( h3(e11) != e21
| op2(e23,h3(e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e11)),op2(e23,h3(e11))) )],[refute_1_131,refute_1_132]) ).
cnf(refute_1_134,plain,
op2(e23,h3(e11)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_133]) ).
cnf(refute_1_135,plain,
op2(h3(e13),h3(e11)) = op2(h3(e13),h3(e11)),
introduced(tautology,[refl,[$fot(op2(h3(e13),h3(e11)))]]) ).
cnf(refute_1_136,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e11)) != op2(h3(e13),h3(e11))
| op2(h3(e13),h3(e11)) = op2(e23,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(h3(e13),h3(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_1_137,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e11)) = op2(e23,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(h3(e13),h3(e11))) )],[refute_1_135,refute_1_136]) ).
cnf(refute_1_138,plain,
( op2(e23,h3(e11)) != op2(e23,e21)
| op2(h3(e13),h3(e11)) != op2(e23,h3(e11))
| op2(h3(e13),h3(e11)) = op2(e23,e21) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e13),h3(e11)))),bind(Y,$fot(op2(e23,h3(e11)))),bind(Z,$fot(op2(e23,e21)))]]) ).
cnf(refute_1_139,plain,
( h3(e13) != e23
| op2(e23,h3(e11)) != op2(e23,e21)
| op2(h3(e13),h3(e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(e23,h3(e11))) )],[refute_1_137,refute_1_138]) ).
cnf(refute_1_140,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e11)),op2(e23,e21)) )],[refute_1_134,refute_1_139]) ).
cnf(refute_1_141,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| op2(h3(e13),h3(e11)) != op2(e23,e21)
| h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e13,e11)),op2(h3(e13),h3(e11))) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_1_142,plain,
( h3(e13) != e23
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(e23,e21)) )],[refute_1_140,refute_1_141]) ).
cnf(refute_1_143,plain,
( e20 != e20
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),op2(h3(e13),h3(e11))) )],[refute_1_142,refute_1_101]) ).
cnf(refute_1_144,plain,
op2(e23,h3(e10)) = op2(e23,h3(e10)),
introduced(tautology,[refl,[$fot(op2(e23,h3(e10)))]]) ).
cnf(refute_1_145,plain,
( h3(e10) != e20
| op2(e23,h3(e10)) != op2(e23,h3(e10))
| op2(e23,h3(e10)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h3(e10)),op2(e23,h3(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_146,plain,
( h3(e10) != e20
| op2(e23,h3(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e10)),op2(e23,h3(e10))) )],[refute_1_144,refute_1_145]) ).
cnf(refute_1_147,plain,
op2(e23,h3(e10)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_10,refute_1_146]) ).
cnf(refute_1_148,plain,
op2(h3(e13),h3(e10)) = op2(h3(e13),h3(e10)),
introduced(tautology,[refl,[$fot(op2(h3(e13),h3(e10)))]]) ).
cnf(refute_1_149,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e10)) != op2(h3(e13),h3(e10))
| op2(h3(e13),h3(e10)) = op2(e23,h3(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e13),h3(e10)),op2(h3(e13),h3(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_1_150,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e10)) = op2(e23,h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e10)),op2(h3(e13),h3(e10))) )],[refute_1_148,refute_1_149]) ).
cnf(refute_1_151,plain,
( op2(e23,h3(e10)) != op2(e23,e20)
| op2(h3(e13),h3(e10)) != op2(e23,h3(e10))
| op2(h3(e13),h3(e10)) = op2(e23,e20) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e13),h3(e10)))),bind(Y,$fot(op2(e23,h3(e10)))),bind(Z,$fot(op2(e23,e20)))]]) ).
cnf(refute_1_152,plain,
( h3(e13) != e23
| op2(e23,h3(e10)) != op2(e23,e20)
| op2(h3(e13),h3(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e10)),op2(e23,h3(e10))) )],[refute_1_150,refute_1_151]) ).
cnf(refute_1_153,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e10)),op2(e23,e20)) )],[refute_1_147,refute_1_152]) ).
cnf(refute_1_154,plain,
( h3(op1(e13,e10)) != op2(e23,e20)
| op2(h3(e13),h3(e10)) != op2(e23,e20)
| h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e13,e10)),op2(h3(e13),h3(e10))) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_1_155,plain,
( h3(e13) != e23
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e10)),op2(e23,e20)) )],[refute_1_153,refute_1_154]) ).
cnf(refute_1_156,plain,
( e20 != e20
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),op2(h3(e13),h3(e10))) )],[refute_1_155,refute_1_143]) ).
cnf(refute_1_157,plain,
op2(e22,h3(e13)) = op2(e22,h3(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h3(e13)))]]) ).
cnf(refute_1_158,plain,
( h3(e13) != e23
| op2(e22,h3(e13)) != op2(e22,h3(e13))
| op2(e22,h3(e13)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e13)),op2(e22,h3(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_159,plain,
( h3(e13) != e23
| op2(e22,h3(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e13)),op2(e22,h3(e13))) )],[refute_1_157,refute_1_158]) ).
cnf(refute_1_160,plain,
op2(h3(e12),h3(e13)) = op2(h3(e12),h3(e13)),
introduced(tautology,[refl,[$fot(op2(h3(e12),h3(e13)))]]) ).
cnf(refute_1_161,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e13)) != op2(h3(e12),h3(e13))
| op2(h3(e12),h3(e13)) = op2(e22,h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),h3(e13)),op2(h3(e12),h3(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_1_162,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e13)) = op2(e22,h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e13)),op2(h3(e12),h3(e13))) )],[refute_1_160,refute_1_161]) ).
cnf(refute_1_163,plain,
op2(h3(e12),h3(e13)) = op2(e22,h3(e13)),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_1_88,refute_1_162]) ).
cnf(refute_1_164,plain,
( op2(e22,h3(e13)) != op2(e22,e23)
| op2(h3(e12),h3(e13)) != op2(e22,h3(e13))
| op2(h3(e12),h3(e13)) = op2(e22,e23) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e12),h3(e13)))),bind(Y,$fot(op2(e22,h3(e13)))),bind(Z,$fot(op2(e22,e23)))]]) ).
cnf(refute_1_165,plain,
( op2(e22,h3(e13)) != op2(e22,e23)
| op2(h3(e12),h3(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e13)),op2(e22,h3(e13))) )],[refute_1_163,refute_1_164]) ).
cnf(refute_1_166,plain,
( h3(e13) != e23
| op2(h3(e12),h3(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e13)),op2(e22,e23)) )],[refute_1_159,refute_1_165]) ).
cnf(refute_1_167,plain,
( h3(op1(e12,e13)) != op2(e22,e23)
| op2(h3(e12),h3(e13)) != op2(e22,e23)
| h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e12,e13)),op2(h3(e12),h3(e13))) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_1_168,plain,
( h3(e13) != e23
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e13)),op2(e22,e23)) )],[refute_1_166,refute_1_167]) ).
cnf(refute_1_169,plain,
( e20 != e20
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),op2(h3(e12),h3(e13))) )],[refute_1_168,refute_1_156]) ).
cnf(refute_1_170,plain,
h3(op1(e12,e12)) = h3(op1(e12,e12)),
introduced(tautology,[refl,[$fot(h3(op1(e12,e12)))]]) ).
cnf(refute_1_171,plain,
( h3(op1(e12,e12)) != h3(op1(e12,e12))
| op1(e12,e12) != e13
| h3(op1(e12,e12)) = h3(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e12)),h3(op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_1_172,plain,
( op1(e12,e12) != e13
| h3(op1(e12,e12)) = h3(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e12)),h3(op1(e12,e12))) )],[refute_1_170,refute_1_171]) ).
cnf(refute_1_173,plain,
h3(op1(e12,e12)) = h3(e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_14,refute_1_172]) ).
cnf(refute_1_174,plain,
( h3(e13) != e23
| h3(op1(e12,e12)) != h3(e13)
| h3(op1(e12,e12)) = e23 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h3(op1(e12,e12)))),bind(Y,$fot(h3(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_1_175,plain,
( h3(e13) != e23
| h3(op1(e12,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e12)),h3(e13)) )],[refute_1_173,refute_1_174]) ).
cnf(refute_1_176,plain,
( e23 != op2(h3(e12),h3(e12))
| h3(op1(e12,e12)) != e23
| h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e12)),e23) ),[1],$fot(op2(h3(e12),h3(e12)))]]) ).
cnf(refute_1_177,plain,
( e23 != op2(h3(e12),h3(e12))
| h3(e13) != e23
| h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e12)),e23) )],[refute_1_175,refute_1_176]) ).
cnf(refute_1_178,plain,
op2(e22,h3(e12)) = op2(e22,h3(e12)),
introduced(tautology,[refl,[$fot(op2(e22,h3(e12)))]]) ).
cnf(refute_1_179,plain,
( h3(e12) != e22
| op2(e22,h3(e12)) != op2(e22,h3(e12))
| op2(e22,h3(e12)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e12)),op2(e22,h3(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_1_180,plain,
( h3(e12) != e22
| op2(e22,h3(e12)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e12)),op2(e22,h3(e12))) )],[refute_1_178,refute_1_179]) ).
cnf(refute_1_181,plain,
op2(e22,h3(e12)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_1_88,refute_1_180]) ).
cnf(refute_1_182,plain,
op2(h3(e12),h3(e12)) = op2(h3(e12),h3(e12)),
introduced(tautology,[refl,[$fot(op2(h3(e12),h3(e12)))]]) ).
cnf(refute_1_183,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e12)) != op2(h3(e12),h3(e12))
| op2(h3(e12),h3(e12)) = op2(e22,h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),h3(e12)),op2(h3(e12),h3(e12))) ),[1,0],$fot(e22)]]) ).
cnf(refute_1_184,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e12)) = op2(e22,h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e12)),op2(h3(e12),h3(e12))) )],[refute_1_182,refute_1_183]) ).
cnf(refute_1_185,plain,
op2(h3(e12),h3(e12)) = op2(e22,h3(e12)),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_1_88,refute_1_184]) ).
cnf(refute_1_186,plain,
( op2(e22,h3(e12)) != op2(e22,e22)
| op2(h3(e12),h3(e12)) != op2(e22,h3(e12))
| op2(h3(e12),h3(e12)) = op2(e22,e22) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e12),h3(e12)))),bind(Y,$fot(op2(e22,h3(e12)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_1_187,plain,
( op2(e22,h3(e12)) != op2(e22,e22)
| op2(h3(e12),h3(e12)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e12)),op2(e22,h3(e12))) )],[refute_1_185,refute_1_186]) ).
cnf(refute_1_188,plain,
op2(h3(e12),h3(e12)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,h3(e12)),op2(e22,e22)) )],[refute_1_181,refute_1_187]) ).
cnf(refute_1_189,plain,
( op2(e22,e22) != e23
| op2(h3(e12),h3(e12)) != op2(e22,e22)
| op2(h3(e12),h3(e12)) = e23 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e12),h3(e12)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(e23))]]) ).
cnf(refute_1_190,plain,
( op2(e22,e22) != e23
| op2(h3(e12),h3(e12)) = e23 ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e12)),op2(e22,e22)) )],[refute_1_188,refute_1_189]) ).
cnf(refute_1_191,plain,
op2(h3(e12),h3(e12)) = e23,
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_47,refute_1_190]) ).
cnf(refute_1_192,plain,
( e23 != e23
| op2(h3(e12),h3(e12)) != e23
| e23 = op2(h3(e12),h3(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(h3(e12),h3(e12))) ),[1],$fot(e23)]]) ).
cnf(refute_1_193,plain,
( e23 != e23
| e23 = op2(h3(e12),h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e12)),e23) )],[refute_1_191,refute_1_192]) ).
cnf(refute_1_194,plain,
( e23 != e23
| h3(e13) != e23
| h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
inference(resolve,[$cnf( $equal(e23,op2(h3(e12),h3(e12))) )],[refute_1_193,refute_1_177]) ).
cnf(refute_1_195,plain,
( e20 != e20
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e12)),op2(h3(e12),h3(e12))) )],[refute_1_194,refute_1_169]) ).
cnf(refute_1_196,plain,
op2(e22,h3(e11)) = op2(e22,h3(e11)),
introduced(tautology,[refl,[$fot(op2(e22,h3(e11)))]]) ).
cnf(refute_1_197,plain,
( h3(e11) != e21
| op2(e22,h3(e11)) != op2(e22,h3(e11))
| op2(e22,h3(e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,h3(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_198,plain,
( h3(e11) != e21
| op2(e22,h3(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,h3(e11))) )],[refute_1_196,refute_1_197]) ).
cnf(refute_1_199,plain,
op2(e22,h3(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_198]) ).
cnf(refute_1_200,plain,
op2(h3(e12),h3(e11)) = op2(h3(e12),h3(e11)),
introduced(tautology,[refl,[$fot(op2(h3(e12),h3(e11)))]]) ).
cnf(refute_1_201,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e11)) != op2(h3(e12),h3(e11))
| op2(h3(e12),h3(e11)) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),h3(e11)),op2(h3(e12),h3(e11))) ),[1,0],$fot(e22)]]) ).
cnf(refute_1_202,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e11)) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e11)),op2(h3(e12),h3(e11))) )],[refute_1_200,refute_1_201]) ).
cnf(refute_1_203,plain,
op2(h3(e12),h3(e11)) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_1_88,refute_1_202]) ).
cnf(refute_1_204,plain,
( op2(e22,h3(e11)) != op2(e22,e21)
| op2(h3(e12),h3(e11)) != op2(e22,h3(e11))
| op2(h3(e12),h3(e11)) = op2(e22,e21) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e12),h3(e11)))),bind(Y,$fot(op2(e22,h3(e11)))),bind(Z,$fot(op2(e22,e21)))]]) ).
cnf(refute_1_205,plain,
( op2(e22,h3(e11)) != op2(e22,e21)
| op2(h3(e12),h3(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e11)),op2(e22,h3(e11))) )],[refute_1_203,refute_1_204]) ).
cnf(refute_1_206,plain,
op2(h3(e12),h3(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,e21)) )],[refute_1_199,refute_1_205]) ).
cnf(refute_1_207,plain,
( h3(op1(e12,e11)) != op2(e22,e21)
| op2(h3(e12),h3(e11)) != op2(e22,e21)
| h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e12,e11)),op2(h3(e12),h3(e11))) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_1_208,plain,
( h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e11)),op2(e22,e21)) )],[refute_1_206,refute_1_207]) ).
cnf(refute_1_209,plain,
( e20 != e20
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e11)),op2(h3(e12),h3(e11))) )],[refute_1_208,refute_1_195]) ).
cnf(refute_1_210,plain,
op2(e22,h3(e10)) = op2(e22,h3(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h3(e10)))]]) ).
cnf(refute_1_211,plain,
( h3(e10) != e20
| op2(e22,h3(e10)) != op2(e22,h3(e10))
| op2(e22,h3(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e10)),op2(e22,h3(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_212,plain,
( h3(e10) != e20
| op2(e22,h3(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e10)),op2(e22,h3(e10))) )],[refute_1_210,refute_1_211]) ).
cnf(refute_1_213,plain,
op2(e22,h3(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_10,refute_1_212]) ).
cnf(refute_1_214,plain,
op2(h3(e12),h3(e10)) = op2(h3(e12),h3(e10)),
introduced(tautology,[refl,[$fot(op2(h3(e12),h3(e10)))]]) ).
cnf(refute_1_215,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e10)) != op2(h3(e12),h3(e10))
| op2(h3(e12),h3(e10)) = op2(e22,h3(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(h3(e12),h3(e10))) ),[1,0],$fot(e22)]]) ).
cnf(refute_1_216,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e10)) = op2(e22,h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(h3(e12),h3(e10))) )],[refute_1_214,refute_1_215]) ).
cnf(refute_1_217,plain,
op2(h3(e12),h3(e10)) = op2(e22,h3(e10)),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_1_88,refute_1_216]) ).
cnf(refute_1_218,plain,
( op2(e22,h3(e10)) != op2(e22,e20)
| op2(h3(e12),h3(e10)) != op2(e22,h3(e10))
| op2(h3(e12),h3(e10)) = op2(e22,e20) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e12),h3(e10)))),bind(Y,$fot(op2(e22,h3(e10)))),bind(Z,$fot(op2(e22,e20)))]]) ).
cnf(refute_1_219,plain,
( op2(e22,h3(e10)) != op2(e22,e20)
| op2(h3(e12),h3(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(e22,h3(e10))) )],[refute_1_217,refute_1_218]) ).
cnf(refute_1_220,plain,
op2(h3(e12),h3(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e22,h3(e10)),op2(e22,e20)) )],[refute_1_213,refute_1_219]) ).
cnf(refute_1_221,plain,
( h3(op1(e12,e10)) != op2(e22,e20)
| op2(h3(e12),h3(e10)) != op2(e22,e20)
| h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e12,e10)),op2(h3(e12),h3(e10))) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_1_222,plain,
( h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(e22,e20)) )],[refute_1_220,refute_1_221]) ).
cnf(refute_1_223,plain,
( e20 != e20
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),op2(h3(e12),h3(e10))) )],[refute_1_222,refute_1_209]) ).
cnf(refute_1_224,plain,
op2(e21,h3(e13)) = op2(e21,h3(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h3(e13)))]]) ).
cnf(refute_1_225,plain,
( h3(e13) != e23
| op2(e21,h3(e13)) != op2(e21,h3(e13))
| op2(e21,h3(e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e13)),op2(e21,h3(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_226,plain,
( h3(e13) != e23
| op2(e21,h3(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e13)),op2(e21,h3(e13))) )],[refute_1_224,refute_1_225]) ).
cnf(refute_1_227,plain,
op2(h3(e11),h3(e13)) = op2(h3(e11),h3(e13)),
introduced(tautology,[refl,[$fot(op2(h3(e11),h3(e13)))]]) ).
cnf(refute_1_228,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e13)) != op2(h3(e11),h3(e13))
| op2(h3(e11),h3(e13)) = op2(e21,h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(h3(e11),h3(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_229,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e13)) = op2(e21,h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(h3(e11),h3(e13))) )],[refute_1_227,refute_1_228]) ).
cnf(refute_1_230,plain,
op2(h3(e11),h3(e13)) = op2(e21,h3(e13)),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_229]) ).
cnf(refute_1_231,plain,
( op2(e21,h3(e13)) != op2(e21,e23)
| op2(h3(e11),h3(e13)) != op2(e21,h3(e13))
| op2(h3(e11),h3(e13)) = op2(e21,e23) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e11),h3(e13)))),bind(Y,$fot(op2(e21,h3(e13)))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_1_232,plain,
( op2(e21,h3(e13)) != op2(e21,e23)
| op2(h3(e11),h3(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(e21,h3(e13))) )],[refute_1_230,refute_1_231]) ).
cnf(refute_1_233,plain,
( h3(e13) != e23
| op2(h3(e11),h3(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e13)),op2(e21,e23)) )],[refute_1_226,refute_1_232]) ).
cnf(refute_1_234,plain,
( h3(op1(e11,e13)) != op2(e21,e23)
| op2(h3(e11),h3(e13)) != op2(e21,e23)
| h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e11,e13)),op2(h3(e11),h3(e13))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_1_235,plain,
( h3(e13) != e23
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(e21,e23)) )],[refute_1_233,refute_1_234]) ).
cnf(refute_1_236,plain,
( e20 != e20
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),op2(h3(e11),h3(e13))) )],[refute_1_235,refute_1_223]) ).
cnf(refute_1_237,plain,
op2(e21,h3(e12)) = op2(e21,h3(e12)),
introduced(tautology,[refl,[$fot(op2(e21,h3(e12)))]]) ).
cnf(refute_1_238,plain,
( h3(e12) != e22
| op2(e21,h3(e12)) != op2(e21,h3(e12))
| op2(e21,h3(e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e12)),op2(e21,h3(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_1_239,plain,
( h3(e12) != e22
| op2(e21,h3(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e12)),op2(e21,h3(e12))) )],[refute_1_237,refute_1_238]) ).
cnf(refute_1_240,plain,
op2(e21,h3(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_1_88,refute_1_239]) ).
cnf(refute_1_241,plain,
op2(h3(e11),h3(e12)) = op2(h3(e11),h3(e12)),
introduced(tautology,[refl,[$fot(op2(h3(e11),h3(e12)))]]) ).
cnf(refute_1_242,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e12)) != op2(h3(e11),h3(e12))
| op2(h3(e11),h3(e12)) = op2(e21,h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e12)),op2(h3(e11),h3(e12))) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_243,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e12)) = op2(e21,h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e12)),op2(h3(e11),h3(e12))) )],[refute_1_241,refute_1_242]) ).
cnf(refute_1_244,plain,
op2(h3(e11),h3(e12)) = op2(e21,h3(e12)),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_243]) ).
cnf(refute_1_245,plain,
( op2(e21,h3(e12)) != op2(e21,e22)
| op2(h3(e11),h3(e12)) != op2(e21,h3(e12))
| op2(h3(e11),h3(e12)) = op2(e21,e22) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e11),h3(e12)))),bind(Y,$fot(op2(e21,h3(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).
cnf(refute_1_246,plain,
( op2(e21,h3(e12)) != op2(e21,e22)
| op2(h3(e11),h3(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e12)),op2(e21,h3(e12))) )],[refute_1_244,refute_1_245]) ).
cnf(refute_1_247,plain,
op2(h3(e11),h3(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,h3(e12)),op2(e21,e22)) )],[refute_1_240,refute_1_246]) ).
cnf(refute_1_248,plain,
( h3(op1(e11,e12)) != op2(e21,e22)
| op2(h3(e11),h3(e12)) != op2(e21,e22)
| h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e11,e12)),op2(h3(e11),h3(e12))) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_1_249,plain,
( h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e12)),op2(e21,e22)) )],[refute_1_247,refute_1_248]) ).
cnf(refute_1_250,plain,
( e20 != e20
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),op2(h3(e11),h3(e12))) )],[refute_1_249,refute_1_236]) ).
cnf(refute_1_251,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_1_26]) ).
cnf(refute_1_252,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_1_253,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_1_251,refute_1_252]) ).
cnf(refute_1_254,plain,
op2(e21,h3(e11)) = op2(e21,h3(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h3(e11)))]]) ).
cnf(refute_1_255,plain,
( h3(e11) != e21
| op2(e21,h3(e11)) != op2(e21,h3(e11))
| op2(e21,h3(e11)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e11)),op2(e21,h3(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_256,plain,
( h3(e11) != e21
| op2(e21,h3(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e11)),op2(e21,h3(e11))) )],[refute_1_254,refute_1_255]) ).
cnf(refute_1_257,plain,
op2(e21,h3(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_256]) ).
cnf(refute_1_258,plain,
op2(h3(e11),h3(e11)) = op2(h3(e11),h3(e11)),
introduced(tautology,[refl,[$fot(op2(h3(e11),h3(e11)))]]) ).
cnf(refute_1_259,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e11)) != op2(h3(e11),h3(e11))
| op2(h3(e11),h3(e11)) = op2(e21,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e11)),op2(h3(e11),h3(e11))) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_260,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e11)) = op2(e21,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),op2(h3(e11),h3(e11))) )],[refute_1_258,refute_1_259]) ).
cnf(refute_1_261,plain,
op2(h3(e11),h3(e11)) = op2(e21,h3(e11)),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_260]) ).
cnf(refute_1_262,plain,
( op2(e21,h3(e11)) != op2(e21,e21)
| op2(h3(e11),h3(e11)) != op2(e21,h3(e11))
| op2(h3(e11),h3(e11)) = op2(e21,e21) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e11),h3(e11)))),bind(Y,$fot(op2(e21,h3(e11)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_1_263,plain,
( op2(e21,h3(e11)) != op2(e21,e21)
| op2(h3(e11),h3(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),op2(e21,h3(e11))) )],[refute_1_261,refute_1_262]) ).
cnf(refute_1_264,plain,
op2(h3(e11),h3(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,h3(e11)),op2(e21,e21)) )],[refute_1_257,refute_1_263]) ).
cnf(refute_1_265,plain,
( op2(e21,e21) != h2(e13)
| op2(h3(e11),h3(e11)) != op2(e21,e21)
| op2(h3(e11),h3(e11)) = h2(e13) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e11),h3(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_1_266,plain,
( op2(e21,e21) != h2(e13)
| op2(h3(e11),h3(e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),op2(e21,e21)) )],[refute_1_264,refute_1_265]) ).
cnf(refute_1_267,plain,
op2(h3(e11),h3(e11)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_253,refute_1_266]) ).
cnf(refute_1_268,plain,
( h3(op1(e11,e11)) != h2(e13)
| op2(h3(e11),h3(e11)) != h2(e13)
| h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e11,e11)),op2(h3(e11),h3(e11))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_1_269,plain,
( h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),h2(e13)) )],[refute_1_267,refute_1_268]) ).
cnf(refute_1_270,plain,
( e20 != e20
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),op2(h3(e11),h3(e11))) )],[refute_1_269,refute_1_250]) ).
cnf(refute_1_271,plain,
op2(e21,h3(e10)) = op2(e21,h3(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h3(e10)))]]) ).
cnf(refute_1_272,plain,
( h3(e10) != e20
| op2(e21,h3(e10)) != op2(e21,h3(e10))
| op2(e21,h3(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e10)),op2(e21,h3(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_273,plain,
( h3(e10) != e20
| op2(e21,h3(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e10)),op2(e21,h3(e10))) )],[refute_1_271,refute_1_272]) ).
cnf(refute_1_274,plain,
op2(e21,h3(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_10,refute_1_273]) ).
cnf(refute_1_275,plain,
op2(h3(e11),h3(e10)) = op2(h3(e11),h3(e10)),
introduced(tautology,[refl,[$fot(op2(h3(e11),h3(e10)))]]) ).
cnf(refute_1_276,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e10)) != op2(h3(e11),h3(e10))
| op2(h3(e11),h3(e10)) = op2(e21,h3(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(h3(e11),h3(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_277,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e10)) = op2(e21,h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(h3(e11),h3(e10))) )],[refute_1_275,refute_1_276]) ).
cnf(refute_1_278,plain,
op2(h3(e11),h3(e10)) = op2(e21,h3(e10)),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_277]) ).
cnf(refute_1_279,plain,
( op2(e21,h3(e10)) != op2(e21,e20)
| op2(h3(e11),h3(e10)) != op2(e21,h3(e10))
| op2(h3(e11),h3(e10)) = op2(e21,e20) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e11),h3(e10)))),bind(Y,$fot(op2(e21,h3(e10)))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_1_280,plain,
( op2(e21,h3(e10)) != op2(e21,e20)
| op2(h3(e11),h3(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(e21,h3(e10))) )],[refute_1_278,refute_1_279]) ).
cnf(refute_1_281,plain,
op2(h3(e11),h3(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e21,h3(e10)),op2(e21,e20)) )],[refute_1_274,refute_1_280]) ).
cnf(refute_1_282,plain,
( h3(op1(e11,e10)) != op2(e21,e20)
| op2(h3(e11),h3(e10)) != op2(e21,e20)
| h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e11,e10)),op2(h3(e11),h3(e10))) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_1_283,plain,
( h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(e21,e20)) )],[refute_1_281,refute_1_282]) ).
cnf(refute_1_284,plain,
( e20 != e20
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),op2(h3(e11),h3(e10))) )],[refute_1_283,refute_1_270]) ).
cnf(refute_1_285,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(canonicalize,[],[normalize_1_27]) ).
cnf(refute_1_286,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = e10 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e12,e12),op1(e12,e12))))]]) ).
cnf(refute_1_287,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_1_11,refute_1_286]) ).
cnf(refute_1_288,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_1_289,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_1_290,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_1_288,refute_1_289]) ).
cnf(refute_1_291,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e10) )],[refute_1_287,refute_1_290]) ).
cnf(refute_1_292,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(e10,op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,op1(e12,e12))) ),[0],$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_1_293,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_1_291,refute_1_292]) ).
cnf(refute_1_294,plain,
e11 = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(e11,op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_1_285,refute_1_293]) ).
cnf(refute_1_295,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_1_296,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_1_297,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_1_295,refute_1_296]) ).
cnf(refute_1_298,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_14,refute_1_297]) ).
cnf(refute_1_299,plain,
( e11 != op1(e10,op1(e12,e12))
| op1(e10,op1(e12,e12)) != op1(e10,e13)
| e11 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e13)) ),[0],$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_1_300,plain,
( e11 != op1(e10,op1(e12,e12))
| e11 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_1_298,refute_1_299]) ).
cnf(refute_1_301,plain,
e11 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e11,op1(e10,op1(e12,e12))) )],[refute_1_294,refute_1_300]) ).
cnf(refute_1_302,plain,
( e11 != op1(e10,e13)
| op1(e10,e13) = e11 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_1_303,plain,
op1(e10,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_1_301,refute_1_302]) ).
cnf(refute_1_304,plain,
h3(op1(e10,e13)) = h3(op1(e10,e13)),
introduced(tautology,[refl,[$fot(h3(op1(e10,e13)))]]) ).
cnf(refute_1_305,plain,
( h3(op1(e10,e13)) != h3(op1(e10,e13))
| op1(e10,e13) != e11
| h3(op1(e10,e13)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e13)),h3(op1(e10,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_1_306,plain,
( op1(e10,e13) != e11
| h3(op1(e10,e13)) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),h3(op1(e10,e13))) )],[refute_1_304,refute_1_305]) ).
cnf(refute_1_307,plain,
h3(op1(e10,e13)) = h3(e11),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_1_303,refute_1_306]) ).
cnf(refute_1_308,plain,
( h3(e11) != e21
| h3(op1(e10,e13)) != h3(e11)
| h3(op1(e10,e13)) = e21 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h3(op1(e10,e13)))),bind(Y,$fot(h3(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_1_309,plain,
( h3(e11) != e21
| h3(op1(e10,e13)) = e21 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),h3(e11)) )],[refute_1_307,refute_1_308]) ).
cnf(refute_1_310,plain,
h3(op1(e10,e13)) = e21,
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_309]) ).
cnf(refute_1_311,plain,
( e21 != op2(h3(e10),h3(e13))
| h3(op1(e10,e13)) != e21
| h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e13)),e21) ),[1],$fot(op2(h3(e10),h3(e13)))]]) ).
cnf(refute_1_312,plain,
( e21 != op2(h3(e10),h3(e13))
| h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),e21) )],[refute_1_310,refute_1_311]) ).
cnf(refute_1_313,plain,
( h3(e11) != e21
| h3(e11) != op2(e20,e23)
| e21 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),op2(e20,e23)) ),[0],$fot(e21)]]) ).
cnf(refute_1_314,plain,
( h3(e11) != op2(e20,e23)
| e21 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_313]) ).
cnf(refute_1_315,plain,
e21 = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_1_120,refute_1_314]) ).
cnf(refute_1_316,plain,
( e21 != op2(e20,e23)
| op2(e20,e23) = e21 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_1_317,plain,
op2(e20,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_1_315,refute_1_316]) ).
cnf(refute_1_318,plain,
op2(e20,h3(e13)) = op2(e20,h3(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h3(e13)))]]) ).
cnf(refute_1_319,plain,
( h3(e13) != e23
| op2(e20,h3(e13)) != op2(e20,h3(e13))
| op2(e20,h3(e13)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e13)),op2(e20,h3(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_320,plain,
( h3(e13) != e23
| op2(e20,h3(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e13)),op2(e20,h3(e13))) )],[refute_1_318,refute_1_319]) ).
cnf(refute_1_321,plain,
op2(h3(e10),h3(e13)) = op2(h3(e10),h3(e13)),
introduced(tautology,[refl,[$fot(op2(h3(e10),h3(e13)))]]) ).
cnf(refute_1_322,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e13)) != op2(h3(e10),h3(e13))
| op2(h3(e10),h3(e13)) = op2(e20,h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e10),h3(e13)),op2(h3(e10),h3(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_323,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e13)) = op2(e20,h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e13)),op2(h3(e10),h3(e13))) )],[refute_1_321,refute_1_322]) ).
cnf(refute_1_324,plain,
op2(h3(e10),h3(e13)) = op2(e20,h3(e13)),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_10,refute_1_323]) ).
cnf(refute_1_325,plain,
( op2(e20,h3(e13)) != op2(e20,e23)
| op2(h3(e10),h3(e13)) != op2(e20,h3(e13))
| op2(h3(e10),h3(e13)) = op2(e20,e23) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e10),h3(e13)))),bind(Y,$fot(op2(e20,h3(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_1_326,plain,
( op2(e20,h3(e13)) != op2(e20,e23)
| op2(h3(e10),h3(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e13)),op2(e20,h3(e13))) )],[refute_1_324,refute_1_325]) ).
cnf(refute_1_327,plain,
( h3(e13) != e23
| op2(h3(e10),h3(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e13)),op2(e20,e23)) )],[refute_1_320,refute_1_326]) ).
cnf(refute_1_328,plain,
( op2(e20,e23) != e21
| op2(h3(e10),h3(e13)) != op2(e20,e23)
| op2(h3(e10),h3(e13)) = e21 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e10),h3(e13)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_1_329,plain,
( h3(e13) != e23
| op2(e20,e23) != e21
| op2(h3(e10),h3(e13)) = e21 ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e13)),op2(e20,e23)) )],[refute_1_327,refute_1_328]) ).
cnf(refute_1_330,plain,
( h3(e13) != e23
| op2(h3(e10),h3(e13)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_1_317,refute_1_329]) ).
cnf(refute_1_331,plain,
( e21 != e21
| op2(h3(e10),h3(e13)) != e21
| e21 = op2(h3(e10),h3(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h3(e10),h3(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_1_332,plain,
( e21 != e21
| h3(e13) != e23
| e21 = op2(h3(e10),h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e13)),e21) )],[refute_1_330,refute_1_331]) ).
cnf(refute_1_333,plain,
( e21 != e21
| h3(e13) != e23
| h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
inference(resolve,[$cnf( $equal(e21,op2(h3(e10),h3(e13))) )],[refute_1_332,refute_1_312]) ).
cnf(refute_1_334,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),op2(h3(e10),h3(e13))) )],[refute_1_333,refute_1_284]) ).
cnf(refute_1_335,plain,
op2(e20,h3(e12)) = op2(e20,h3(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h3(e12)))]]) ).
cnf(refute_1_336,plain,
( h3(e12) != e22
| op2(e20,h3(e12)) != op2(e20,h3(e12))
| op2(e20,h3(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e12)),op2(e20,h3(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_1_337,plain,
( h3(e12) != e22
| op2(e20,h3(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e12)),op2(e20,h3(e12))) )],[refute_1_335,refute_1_336]) ).
cnf(refute_1_338,plain,
op2(e20,h3(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_1_88,refute_1_337]) ).
cnf(refute_1_339,plain,
op2(h3(e10),h3(e12)) = op2(h3(e10),h3(e12)),
introduced(tautology,[refl,[$fot(op2(h3(e10),h3(e12)))]]) ).
cnf(refute_1_340,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e12)) != op2(h3(e10),h3(e12))
| op2(h3(e10),h3(e12)) = op2(e20,h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e10),h3(e12)),op2(h3(e10),h3(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_341,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e12)) = op2(e20,h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e12)),op2(h3(e10),h3(e12))) )],[refute_1_339,refute_1_340]) ).
cnf(refute_1_342,plain,
op2(h3(e10),h3(e12)) = op2(e20,h3(e12)),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_10,refute_1_341]) ).
cnf(refute_1_343,plain,
( op2(e20,h3(e12)) != op2(e20,e22)
| op2(h3(e10),h3(e12)) != op2(e20,h3(e12))
| op2(h3(e10),h3(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e10),h3(e12)))),bind(Y,$fot(op2(e20,h3(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_1_344,plain,
( op2(e20,h3(e12)) != op2(e20,e22)
| op2(h3(e10),h3(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e12)),op2(e20,h3(e12))) )],[refute_1_342,refute_1_343]) ).
cnf(refute_1_345,plain,
op2(h3(e10),h3(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h3(e12)),op2(e20,e22)) )],[refute_1_338,refute_1_344]) ).
cnf(refute_1_346,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| op2(h3(e10),h3(e12)) != op2(e20,e22)
| h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e12)),op2(h3(e10),h3(e12))) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_1_347,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e12)),op2(e20,e22)) )],[refute_1_345,refute_1_346]) ).
cnf(refute_1_348,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),op2(h3(e10),h3(e12))) )],[refute_1_347,refute_1_334]) ).
cnf(refute_1_349,plain,
op2(e20,h3(e11)) = op2(e20,h3(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h3(e11)))]]) ).
cnf(refute_1_350,plain,
( h3(e11) != e21
| op2(e20,h3(e11)) != op2(e20,h3(e11))
| op2(e20,h3(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h3(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_351,plain,
( h3(e11) != e21
| op2(e20,h3(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h3(e11))) )],[refute_1_349,refute_1_350]) ).
cnf(refute_1_352,plain,
op2(e20,h3(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_351]) ).
cnf(refute_1_353,plain,
op2(h3(e10),h3(e11)) = op2(h3(e10),h3(e11)),
introduced(tautology,[refl,[$fot(op2(h3(e10),h3(e11)))]]) ).
cnf(refute_1_354,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e11)) != op2(h3(e10),h3(e11))
| op2(h3(e10),h3(e11)) = op2(e20,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e10),h3(e11)),op2(h3(e10),h3(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_355,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e11)) = op2(e20,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e11)),op2(h3(e10),h3(e11))) )],[refute_1_353,refute_1_354]) ).
cnf(refute_1_356,plain,
op2(h3(e10),h3(e11)) = op2(e20,h3(e11)),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_10,refute_1_355]) ).
cnf(refute_1_357,plain,
( op2(e20,h3(e11)) != op2(e20,e21)
| op2(h3(e10),h3(e11)) != op2(e20,h3(e11))
| op2(h3(e10),h3(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e10),h3(e11)))),bind(Y,$fot(op2(e20,h3(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_1_358,plain,
( op2(e20,h3(e11)) != op2(e20,e21)
| op2(h3(e10),h3(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e11)),op2(e20,h3(e11))) )],[refute_1_356,refute_1_357]) ).
cnf(refute_1_359,plain,
op2(h3(e10),h3(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,e21)) )],[refute_1_352,refute_1_358]) ).
cnf(refute_1_360,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| op2(h3(e10),h3(e11)) != op2(e20,e21)
| h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e11)),op2(h3(e10),h3(e11))) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_1_361,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e11)),op2(e20,e21)) )],[refute_1_359,refute_1_360]) ).
cnf(refute_1_362,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),op2(h3(e10),h3(e11))) )],[refute_1_361,refute_1_348]) ).
cnf(refute_1_363,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_1_28]) ).
cnf(refute_1_364,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_1_365,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_1_363,refute_1_364]) ).
cnf(refute_1_366,plain,
op2(e20,h3(e10)) = op2(e20,h3(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h3(e10)))]]) ).
cnf(refute_1_367,plain,
( h3(e10) != e20
| op2(e20,h3(e10)) != op2(e20,h3(e10))
| op2(e20,h3(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e10)),op2(e20,h3(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_368,plain,
( h3(e10) != e20
| op2(e20,h3(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e10)),op2(e20,h3(e10))) )],[refute_1_366,refute_1_367]) ).
cnf(refute_1_369,plain,
op2(e20,h3(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_10,refute_1_368]) ).
cnf(refute_1_370,plain,
op2(h3(e10),h3(e10)) = op2(h3(e10),h3(e10)),
introduced(tautology,[refl,[$fot(op2(h3(e10),h3(e10)))]]) ).
cnf(refute_1_371,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e10)) != op2(h3(e10),h3(e10))
| op2(h3(e10),h3(e10)) = op2(e20,h3(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e10),h3(e10)),op2(h3(e10),h3(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_372,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e10)) = op2(e20,h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e10)),op2(h3(e10),h3(e10))) )],[refute_1_370,refute_1_371]) ).
cnf(refute_1_373,plain,
op2(h3(e10),h3(e10)) = op2(e20,h3(e10)),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_10,refute_1_372]) ).
cnf(refute_1_374,plain,
( op2(e20,h3(e10)) != op2(e20,e20)
| op2(h3(e10),h3(e10)) != op2(e20,h3(e10))
| op2(h3(e10),h3(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e10),h3(e10)))),bind(Y,$fot(op2(e20,h3(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_1_375,plain,
( op2(e20,h3(e10)) != op2(e20,e20)
| op2(h3(e10),h3(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e10)),op2(e20,h3(e10))) )],[refute_1_373,refute_1_374]) ).
cnf(refute_1_376,plain,
op2(h3(e10),h3(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h3(e10)),op2(e20,e20)) )],[refute_1_369,refute_1_375]) ).
cnf(refute_1_377,plain,
( op2(e20,e20) != h1(e13)
| op2(h3(e10),h3(e10)) != op2(e20,e20)
| op2(h3(e10),h3(e10)) = h1(e13) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h3(e10),h3(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_1_378,plain,
( op2(e20,e20) != h1(e13)
| op2(h3(e10),h3(e10)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e10)),op2(e20,e20)) )],[refute_1_376,refute_1_377]) ).
cnf(refute_1_379,plain,
op2(h3(e10),h3(e10)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_365,refute_1_378]) ).
cnf(refute_1_380,plain,
( h3(op1(e10,e10)) != h1(e13)
| op2(h3(e10),h3(e10)) != h1(e13)
| h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e10)),op2(h3(e10),h3(e10))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_1_381,plain,
( h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e10)),h1(e13)) )],[refute_1_379,refute_1_380]) ).
cnf(refute_1_382,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),op2(h3(e10),h3(e10))) )],[refute_1_381,refute_1_362]) ).
cnf(refute_1_383,plain,
h3(e13) = op2(e22,e22),
inference(canonicalize,[],[normalize_1_29]) ).
cnf(refute_1_384,plain,
( h3(e13) != op2(e22,e22)
| op2(e22,e22) != e23
| h3(e13) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e13),e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_1_385,plain,
( h3(e13) != op2(e22,e22)
| h3(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_47,refute_1_384]) ).
cnf(refute_1_386,plain,
h3(e13) = e23,
inference(resolve,[$cnf( $equal(h3(e13),op2(e22,e22)) )],[refute_1_383,refute_1_385]) ).
cnf(refute_1_387,plain,
( e23 != e23
| h3(e13) != e23
| h3(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_1_388,plain,
( e23 != e23
| h3(e13) = e23 ),
inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_1_386,refute_1_387]) ).
cnf(refute_1_389,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_1_388,refute_1_382]) ).
cnf(refute_1_390,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_1_391,plain,
( e21 != e21
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_390,refute_1_389]) ).
cnf(refute_1_392,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_1_393,plain,
( e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_392,refute_1_391]) ).
cnf(refute_1_394,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_1_395,plain,
( h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_10
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_394,refute_1_393]) ).
cnf(refute_1_396,plain,
( h3(e10) != e20
| ~ definitionFOFtoCNF_10 ),
inference(canonicalize,[],[normalize_1_31]) ).
cnf(refute_1_397,plain,
( e20 != e20
| h3(e10) != e20
| h3(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_1_398,plain,
( e20 != e20
| h3(e10) = e20 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_10,refute_1_397]) ).
cnf(refute_1_399,plain,
( e20 != e20
| ~ definitionFOFtoCNF_10 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_398,refute_1_396]) ).
cnf(refute_1_400,plain,
~ definitionFOFtoCNF_10,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_390,refute_1_399]) ).
cnf(refute_1_401,plain,
( h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22)
| definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( definitionFOFtoCNF_10 )],[refute_1_395,refute_1_400]) ).
cnf(refute_1_402,plain,
( h3(e11) != e21
| ~ definitionFOFtoCNF_11 ),
inference(canonicalize,[],[normalize_1_33]) ).
cnf(refute_1_403,plain,
( e21 != e21
| h3(e11) != e21
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_1_404,plain,
( e21 != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_403]) ).
cnf(refute_1_405,plain,
( e21 != e21
| ~ definitionFOFtoCNF_11 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_404,refute_1_402]) ).
cnf(refute_1_406,plain,
~ definitionFOFtoCNF_11,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_392,refute_1_405]) ).
cnf(refute_1_407,plain,
( h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e12)) != op2(e23,e22) ),
inference(resolve,[$cnf( definitionFOFtoCNF_11 )],[refute_1_401,refute_1_406]) ).
cnf(refute_1_408,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_1_35]) ).
cnf(refute_1_409,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_1_37]) ).
cnf(refute_1_410,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_1_38]) ).
cnf(refute_1_411,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_1_412,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_14,refute_1_411]) ).
cnf(refute_1_413,plain,
e13 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_1_412,refute_1_410]) ).
cnf(refute_1_414,plain,
( op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).
cnf(refute_1_415,plain,
op1(e13,e12) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_1_414,refute_1_413]) ).
cnf(refute_1_416,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_1_409,refute_1_415]) ).
cnf(refute_1_417,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_1_39]) ).
cnf(refute_1_418,plain,
( op1(e13,e12) != e10
| op1(e13,e13) != e10
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_1_419,plain,
( op1(e13,e12) != e10
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_32,refute_1_418]) ).
cnf(refute_1_420,plain,
op1(e13,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_1_419,refute_1_417]) ).
cnf(refute_1_421,plain,
( op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_1_416,refute_1_420]) ).
cnf(refute_1_422,plain,
( op1(e11,e12) != e12
| op1(e13,e12) != e12
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_1_423,plain,
( op1(e11,e12) != e12
| op1(e11,e12) = op1(e13,e12)
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_1_421,refute_1_422]) ).
cnf(refute_1_424,plain,
( op1(e11,e12) != e12
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_1_423,refute_1_408]) ).
cnf(refute_1_425,plain,
op1(e11,e10) != op1(e11,e12),
inference(canonicalize,[],[normalize_1_40]) ).
cnf(refute_1_426,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_1_41]) ).
cnf(refute_1_427,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_1_42]) ).
cnf(refute_1_428,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_1_429,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_14,refute_1_428]) ).
cnf(refute_1_430,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_1_429,refute_1_427]) ).
cnf(refute_1_431,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_1_426,refute_1_430]) ).
cnf(refute_1_432,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_1_43]) ).
cnf(refute_1_433,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_1_47]) ).
cnf(refute_1_434,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_1_433,refute_1_415]) ).
cnf(refute_1_435,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(canonicalize,[],[normalize_1_49]) ).
cnf(refute_1_436,plain,
( op1(e12,e12) != e10
| op1(e12,e12) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).
cnf(refute_1_437,plain,
( op1(e12,e12) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_14,refute_1_436]) ).
cnf(refute_1_438,plain,
( e13 = e10
| op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_1_435,refute_1_437]) ).
cnf(refute_1_439,plain,
e10 != e13,
inference(canonicalize,[],[normalize_1_51]) ).
cnf(refute_1_440,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_1_441,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_1_440,refute_1_439]) ).
cnf(refute_1_442,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_1_438,refute_1_441]) ).
cnf(refute_1_443,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_1_442,refute_1_420]) ).
cnf(refute_1_444,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0],$fot(e10)]]) ).
cnf(refute_1_445,plain,
( op1(e11,e12) != e11
| e10 = e11
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_1_443,refute_1_444]) ).
cnf(refute_1_446,plain,
( e10 = e11
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_1_434,refute_1_445]) ).
cnf(refute_1_447,plain,
e10 != e11,
inference(canonicalize,[],[normalize_1_52]) ).
cnf(refute_1_448,plain,
op1(e10,e12) = e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_1_446,refute_1_447]) ).
cnf(refute_1_449,plain,
( e10 != op1(e11,e12)
| op1(e10,e12) != e10
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_1_450,plain,
( e10 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_1_448,refute_1_449]) ).
cnf(refute_1_451,plain,
e10 != op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_1_450,refute_1_432]) ).
cnf(refute_1_452,plain,
( op1(e11,e12) != e10
| e10 = op1(e11,e12) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(e10))]]) ).
cnf(refute_1_453,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_1_452,refute_1_451]) ).
cnf(refute_1_454,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_1_431,refute_1_453]) ).
cnf(refute_1_455,plain,
( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e11,e10) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_1_456,plain,
( op1(e11,e10) != e11
| op1(e11,e10) = op1(e11,e12)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_1_454,refute_1_455]) ).
cnf(refute_1_457,plain,
( op1(e11,e10) != e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_1_456,refute_1_425]) ).
cnf(refute_1_458,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_1_53]) ).
cnf(refute_1_459,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_1_54]) ).
cnf(refute_1_460,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_1_55]) ).
cnf(refute_1_461,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_1_462,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_1_463,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_1_461,refute_1_462]) ).
cnf(refute_1_464,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_365,refute_1_463]) ).
cnf(refute_1_465,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_1_466,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),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(e13))]]) ).
cnf(refute_1_467,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_1_465,refute_1_466]) ).
cnf(refute_1_468,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_365,refute_1_467]) ).
cnf(refute_1_469,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_1_470,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_1_468,refute_1_469]) ).
cnf(refute_1_471,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_1_464,refute_1_470]) ).
cnf(refute_1_472,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e10) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_1_473,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| h1(e10) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_1_471,refute_1_472]) ).
cnf(refute_1_474,plain,
h1(e10) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_1_460,refute_1_473]) ).
cnf(refute_1_475,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) = h1(e10) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_1_476,plain,
op2(h1(e13),h1(e13)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_1_474,refute_1_475]) ).
cnf(refute_1_477,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_1_56]) ).
cnf(refute_1_478,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_1_479,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_480,plain,
( op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_1_478,refute_1_479]) ).
cnf(refute_1_481,plain,
op2(e20,op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_71,refute_1_480]) ).
cnf(refute_1_482,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_1_483,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,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(e20)]]) ).
cnf(refute_1_484,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_1_482,refute_1_483]) ).
cnf(refute_1_485,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_71,refute_1_484]) ).
cnf(refute_1_486,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_1_487,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_1_485,refute_1_486]) ).
cnf(refute_1_488,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_1_481,refute_1_487]) ).
cnf(refute_1_489,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_1_490,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_1_488,refute_1_489]) ).
cnf(refute_1_491,plain,
op2(op2(e23,e23),op2(e23,e23)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_365,refute_1_490]) ).
cnf(refute_1_492,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_1_493,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h1(e13)) )],[refute_1_491,refute_1_492]) ).
cnf(refute_1_494,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_1_477,refute_1_493]) ).
cnf(refute_1_495,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e10)))]]) ).
cnf(refute_1_496,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_1_497,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_1_495,refute_1_496]) ).
cnf(refute_1_498,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_1_494,refute_1_497]) ).
cnf(refute_1_499,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_1_500,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_1_501,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_1_499,refute_1_500]) ).
cnf(refute_1_502,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_1_494,refute_1_501]) ).
cnf(refute_1_503,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h4(e10)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_1_504,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_1_502,refute_1_503]) ).
cnf(refute_1_505,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_1_498,refute_1_504]) ).
cnf(refute_1_506,plain,
( op2(h1(e13),h1(e13)) != h1(e10)
| op2(h4(e10),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = h1(e10) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h1(e13)))),bind(Z,$fot(h1(e10)))]]) ).
cnf(refute_1_507,plain,
( op2(h1(e13),h1(e13)) != h1(e10)
| op2(h4(e10),h4(e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_1_505,refute_1_506]) ).
cnf(refute_1_508,plain,
op2(h4(e10),h4(e10)) = h1(e10),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),h1(e10)) )],[refute_1_476,refute_1_507]) ).
cnf(refute_1_509,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e10)
| h4(op1(e10,e10)) = h1(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e10)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_1_510,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e10)) )],[refute_1_508,refute_1_509]) ).
cnf(refute_1_511,plain,
h4(op1(e10,e10)) = h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_1_459,refute_1_510]) ).
cnf(refute_1_512,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(canonicalize,[],[normalize_1_57]) ).
cnf(refute_1_513,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_1_58]) ).
cnf(refute_1_514,plain,
( op1(e10,e10) != e10
| op1(e10,e12) != e10
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_1_515,plain,
( op1(e10,e10) != e10
| op1(e10,e10) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_1_448,refute_1_514]) ).
cnf(refute_1_516,plain,
op1(e10,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_1_515,refute_1_513]) ).
cnf(refute_1_517,plain,
( op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_512,refute_1_516]) ).
cnf(refute_1_518,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_1_59]) ).
cnf(refute_1_519,plain,
( op1(e10,e10) != e11
| op1(e10,e13) != e11
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_1_520,plain,
( op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_1_303,refute_1_519]) ).
cnf(refute_1_521,plain,
op1(e10,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_1_520,refute_1_518]) ).
cnf(refute_1_522,plain,
( op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_517,refute_1_521]) ).
cnf(refute_1_523,plain,
( h4(op1(e10,e10)) != h1(e10)
| op1(e10,e10) != e12
| h4(e12) = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) ),[0,0],$fot(e12)]]) ).
cnf(refute_1_524,plain,
( h4(op1(e10,e10)) != h1(e10)
| h4(e12) = h1(e10)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_1_522,refute_1_523]) ).
cnf(refute_1_525,plain,
( h4(e12) = h1(e10)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) )],[refute_1_511,refute_1_524]) ).
cnf(refute_1_526,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_1_60]) ).
cnf(refute_1_527,plain,
( h4(e12) != e23
| h4(e12) != h1(e10)
| e23 = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h1(e10)) ),[0],$fot(e23)]]) ).
cnf(refute_1_528,plain,
( h4(e12) != h1(e10)
| e23 = h1(e10) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_1_526,refute_1_527]) ).
cnf(refute_1_529,plain,
( e23 = h1(e10)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(e12),h1(e10)) )],[refute_1_525,refute_1_528]) ).
cnf(refute_1_530,plain,
( e13 != op1(e13,e10)
| op1(e10,e10) != e13
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(op1(e13,e10))]]) ).
cnf(refute_1_531,plain,
( e13 != op1(e13,e10)
| e23 = h1(e10)
| op1(e10,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_1_529,refute_1_530]) ).
cnf(refute_1_532,plain,
( e13 != op1(e13,e10)
| e23 = h1(e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_1_531,refute_1_458]) ).
cnf(refute_1_533,plain,
( op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_1_63]) ).
cnf(refute_1_534,plain,
( e10 != e10
| op1(e10,e12) != e10
| op1(e10,e12) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_1_535,plain,
( e10 != e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_1_448,refute_1_534]) ).
cnf(refute_1_536,plain,
( e10 != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_1_535,refute_1_533]) ).
cnf(refute_1_537,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_1_538,plain,
( op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_1_537,refute_1_536]) ).
cnf(refute_1_539,plain,
( e13 != e13
| op1(e13,e10) != e13
| e13 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_1_540,plain,
( e13 != e13
| e13 = op1(e13,e10)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_1_538,refute_1_539]) ).
cnf(refute_1_541,plain,
( e13 != e13
| e23 = h1(e10)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e10)) )],[refute_1_540,refute_1_532]) ).
cnf(refute_1_542,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_1_543,plain,
( e23 = h1(e10)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_542,refute_1_541]) ).
cnf(refute_1_544,plain,
( e11 != e11
| op1(e11,e10) != e11
| op1(e11,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_1_545,plain,
( e11 != e11
| e23 = h1(e10)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_543,refute_1_544]) ).
cnf(refute_1_546,plain,
( e11 != e11
| e23 = h1(e10)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_545,refute_1_457]) ).
cnf(refute_1_547,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_1_548,plain,
( e23 = h1(e10)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_547,refute_1_546]) ).
cnf(refute_1_549,plain,
( e12 != e12
| op1(e11,e12) != e12
| op1(e11,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_1_550,plain,
( e12 != e12
| e23 = h1(e10)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_1_548,refute_1_549]) ).
cnf(refute_1_551,plain,
( e12 != e12
| e23 = h1(e10)
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_1_550,refute_1_424]) ).
cnf(refute_1_552,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_1_553,plain,
( e23 = h1(e10)
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_1_552,refute_1_551]) ).
cnf(refute_1_554,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_1_64]) ).
cnf(refute_1_555,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_1_65]) ).
cnf(refute_1_556,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_1_66]) ).
cnf(refute_1_557,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_1_558,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_14,refute_1_557]) ).
cnf(refute_1_559,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_1_558,refute_1_556]) ).
cnf(refute_1_560,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_1_555,refute_1_559]) ).
cnf(refute_1_561,plain,
( op1(e10,e13) != e11
| op1(e10,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_1_562,plain,
( op1(e10,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_1_303,refute_1_561]) ).
cnf(refute_1_563,plain,
( e11 = e13
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_1_560,refute_1_562]) ).
cnf(refute_1_564,plain,
e11 != e13,
inference(canonicalize,[],[normalize_1_67]) ).
cnf(refute_1_565,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_1_563,refute_1_564]) ).
cnf(refute_1_566,plain,
( e13 != op1(e13,e11)
| op1(e10,e11) != e13
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(op1(e13,e11))]]) ).
cnf(refute_1_567,plain,
( e13 != op1(e13,e11)
| op1(e10,e10) = e13
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_1_565,refute_1_566]) ).
cnf(refute_1_568,plain,
( e13 != op1(e13,e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_1_567,refute_1_554]) ).
cnf(refute_1_569,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_1_70]) ).
cnf(refute_1_570,plain,
op1(e10,e11) != op1(e10,e12),
inference(canonicalize,[],[normalize_1_71]) ).
cnf(refute_1_571,plain,
( op1(e10,e11) != e10
| op1(e10,e12) != e10
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_1_572,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_1_448,refute_1_571]) ).
cnf(refute_1_573,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_1_572,refute_1_570]) ).
cnf(refute_1_574,plain,
( op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_1_569,refute_1_573]) ).
cnf(refute_1_575,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_1_72]) ).
cnf(refute_1_576,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_1_73]) ).
cnf(refute_1_577,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_1_74]) ).
cnf(refute_1_578,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_1_579,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_14,refute_1_578]) ).
cnf(refute_1_580,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_1_579,refute_1_577]) ).
cnf(refute_1_581,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_1_582,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_1_581,refute_1_580]) ).
cnf(refute_1_583,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_1_576,refute_1_582]) ).
cnf(refute_1_584,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_1_75]) ).
cnf(refute_1_585,plain,
( op1(e12,e13) != e10
| op1(e13,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_1_586,plain,
( op1(e12,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_32,refute_1_585]) ).
cnf(refute_1_587,plain,
op1(e12,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_1_586,refute_1_584]) ).
cnf(refute_1_588,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_1_583,refute_1_587]) ).
cnf(refute_1_589,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_1_76]) ).
cnf(refute_1_590,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_1_591,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_1_303,refute_1_590]) ).
cnf(refute_1_592,plain,
e11 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_1_591,refute_1_589]) ).
cnf(refute_1_593,plain,
( op1(e12,e13) != e11
| e11 = op1(e12,e13) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e11))]]) ).
cnf(refute_1_594,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_1_593,refute_1_592]) ).
cnf(refute_1_595,plain,
op1(e12,e13) = e12,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_1_588,refute_1_594]) ).
cnf(refute_1_596,plain,
( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_1_597,plain,
( op1(e12,e11) != e12
| op1(e12,e11) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_1_595,refute_1_596]) ).
cnf(refute_1_598,plain,
op1(e12,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_1_597,refute_1_575]) ).
cnf(refute_1_599,plain,
op1(e13,e11) = e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_1_574,refute_1_598]) ).
cnf(refute_1_600,plain,
( e13 != e13
| op1(e13,e11) != e13
| e13 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_1_601,plain,
( e13 != e13
| e13 = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_1_599,refute_1_600]) ).
cnf(refute_1_602,plain,
( e13 != e13
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e11)) )],[refute_1_601,refute_1_568]) ).
cnf(refute_1_603,plain,
op1(e10,e10) = e13,
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_542,refute_1_602]) ).
cnf(refute_1_604,plain,
h4(op1(e10,e10)) = h4(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).
cnf(refute_1_605,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_1_606,plain,
( op1(e10,e10) != e13
| h4(op1(e10,e10)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_1_604,refute_1_605]) ).
cnf(refute_1_607,plain,
h4(op1(e10,e10)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_1_603,refute_1_606]) ).
cnf(refute_1_608,plain,
( h4(e13) != e20
| h4(op1(e10,e10)) != h4(e13)
| h4(op1(e10,e10)) = e20 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_1_609,plain,
( h4(e13) != e20
| h4(op1(e10,e10)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e13)) )],[refute_1_607,refute_1_608]) ).
cnf(refute_1_610,plain,
h4(op1(e10,e10)) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_1_66,refute_1_609]) ).
cnf(refute_1_611,plain,
( h4(op1(e10,e10)) != e20
| h4(op1(e10,e10)) != h1(e10)
| e20 = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) ),[0],$fot(e20)]]) ).
cnf(refute_1_612,plain,
( h4(op1(e10,e10)) != h1(e10)
| e20 = h1(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e20) )],[refute_1_610,refute_1_611]) ).
cnf(refute_1_613,plain,
e20 = h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) )],[refute_1_511,refute_1_612]) ).
cnf(refute_1_614,plain,
( e20 != h1(e10)
| h1(e10) = e20 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e20)),bind(Y,$fot(h1(e10)))]]) ).
cnf(refute_1_615,plain,
h1(e10) = e20,
inference(resolve,[$cnf( $equal(e20,h1(e10)) )],[refute_1_613,refute_1_614]) ).
cnf(refute_1_616,plain,
( e23 != h1(e10)
| h1(e10) != e20
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_1_617,plain,
( e23 != h1(e10)
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_1_615,refute_1_616]) ).
cnf(refute_1_618,plain,
( e23 = e20
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(e23,h1(e10)) )],[refute_1_553,refute_1_617]) ).
cnf(refute_1_619,plain,
e20 != e23,
inference(canonicalize,[],[normalize_1_78]) ).
cnf(refute_1_620,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_1_621,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_620,refute_1_619]) ).
cnf(refute_1_622,plain,
op1(e13,e12) = e11,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_1_618,refute_1_621]) ).
cnf(refute_1_623,plain,
h3(op1(e13,e12)) = h3(op1(e13,e12)),
introduced(tautology,[refl,[$fot(h3(op1(e13,e12)))]]) ).
cnf(refute_1_624,plain,
( h3(op1(e13,e12)) != h3(op1(e13,e12))
| op1(e13,e12) != e11
| h3(op1(e13,e12)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e12)),h3(op1(e13,e12))) ),[1,0],$fot(e11)]]) ).
cnf(refute_1_625,plain,
( op1(e13,e12) != e11
| h3(op1(e13,e12)) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),h3(op1(e13,e12))) )],[refute_1_623,refute_1_624]) ).
cnf(refute_1_626,plain,
h3(op1(e13,e12)) = h3(e11),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_1_622,refute_1_625]) ).
cnf(refute_1_627,plain,
( h3(e11) != e21
| h3(op1(e13,e12)) != h3(e11)
| h3(op1(e13,e12)) = e21 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h3(op1(e13,e12)))),bind(Y,$fot(h3(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_1_628,plain,
( h3(e11) != e21
| h3(op1(e13,e12)) = e21 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),h3(e11)) )],[refute_1_626,refute_1_627]) ).
cnf(refute_1_629,plain,
h3(op1(e13,e12)) = e21,
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_628]) ).
cnf(refute_1_630,plain,
( e21 != op2(e23,e22)
| h3(op1(e13,e12)) != e21
| h3(op1(e13,e12)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e12)),e21) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_1_631,plain,
( e21 != op2(e23,e22)
| h3(op1(e13,e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),e21) )],[refute_1_629,refute_1_630]) ).
cnf(refute_1_632,plain,
( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 ),
inference(canonicalize,[],[normalize_1_80]) ).
cnf(refute_1_633,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != h4(e13)
| h4(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[0],$fot(h4(e13))]]) ).
cnf(refute_1_634,plain,
( op2(e23,e23) != e21
| h4(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_44,refute_1_633]) ).
cnf(refute_1_635,plain,
( h4(e13) = e21
| op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_632,refute_1_634]) ).
cnf(refute_1_636,plain,
( h4(e13) != e20
| h4(e13) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e21) ),[0],$fot(e20)]]) ).
cnf(refute_1_637,plain,
( h4(e13) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_1_66,refute_1_636]) ).
cnf(refute_1_638,plain,
( e20 = e21
| op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_1_635,refute_1_637]) ).
cnf(refute_1_639,plain,
e20 != e21,
inference(canonicalize,[],[normalize_1_81]) ).
cnf(refute_1_640,plain,
( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_638,refute_1_639]) ).
cnf(refute_1_641,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(canonicalize,[],[normalize_1_82]) ).
cnf(refute_1_642,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = h4(e10) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_1_643,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_1_477,refute_1_642]) ).
cnf(refute_1_644,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)))]]) ).
cnf(refute_1_645,plain,
( op2(op2(e23,e23),op2(e23,e23)) != h4(e10)
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(h4(e10))]]) ).
cnf(refute_1_646,plain,
( op2(op2(e23,e23),op2(e23,e23)) != h4(e10)
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) )],[refute_1_644,refute_1_645]) ).
cnf(refute_1_647,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h4(e10)) )],[refute_1_643,refute_1_646]) ).
cnf(refute_1_648,plain,
( h4(e11) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) != op2(h4(e10),op2(e23,e23))
| h4(e11) = op2(h4(e10),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h4(e10),op2(e23,e23))) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)))]]) ).
cnf(refute_1_649,plain,
( h4(e11) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| h4(e11) = op2(h4(e10),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) )],[refute_1_647,refute_1_648]) ).
cnf(refute_1_650,plain,
h4(e11) = op2(h4(e10),op2(e23,e23)),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) )],[refute_1_641,refute_1_649]) ).
cnf(refute_1_651,plain,
op2(h1(e13),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e23,e23)))]]) ).
cnf(refute_1_652,plain,
( op2(e23,e23) != e20
| op2(h1(e13),op2(e23,e23)) != op2(h1(e13),op2(e23,e23))
| op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_653,plain,
( op2(e23,e23) != e20
| op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) )],[refute_1_651,refute_1_652]) ).
cnf(refute_1_654,plain,
op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_71,refute_1_653]) ).
cnf(refute_1_655,plain,
op2(h4(e10),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(h4(e10),op2(e23,e23)))]]) ).
cnf(refute_1_656,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),op2(e23,e23)) != op2(h4(e10),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_1_657,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) )],[refute_1_655,refute_1_656]) ).
cnf(refute_1_658,plain,
op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_1_494,refute_1_657]) ).
cnf(refute_1_659,plain,
( op2(h1(e13),op2(e23,e23)) != op2(h1(e13),e20)
| op2(h4(e10),op2(e23,e23)) != op2(h1(e13),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(subst,[],[refute_1_24:[bind(X,$fot(op2(h4(e10),op2(e23,e23)))),bind(Y,$fot(op2(h1(e13),op2(e23,e23)))),bind(Z,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_1_660,plain,
( op2(h1(e13),op2(e23,e23)) != op2(h1(e13),e20)
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) )],[refute_1_658,refute_1_659]) ).
cnf(refute_1_661,plain,
op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),e20)) )],[refute_1_654,refute_1_660]) ).
cnf(refute_1_662,plain,
( h4(e11) != op2(h4(e10),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) != op2(h1(e13),e20)
| h4(e11) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h1(e13),e20)) ),[0],$fot(op2(h4(e10),op2(e23,e23)))]]) ).
cnf(refute_1_663,plain,
( h4(e11) != op2(h4(e10),op2(e23,e23))
| h4(e11) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h1(e13),e20)) )],[refute_1_661,refute_1_662]) ).
cnf(refute_1_664,plain,
h4(e11) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e10),op2(e23,e23))) )],[refute_1_650,refute_1_663]) ).
cnf(refute_1_665,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_1_84]) ).
cnf(refute_1_666,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_1_667,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_365,refute_1_666]) ).
cnf(refute_1_668,plain,
( h1(e13) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_1_665,refute_1_667]) ).
cnf(refute_1_669,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_1_670,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_365,refute_1_669]) ).
cnf(refute_1_671,plain,
( h1(e13) = e20
| h1(e13) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_1_668,refute_1_670]) ).
cnf(refute_1_672,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_1_673,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_365,refute_1_672]) ).
cnf(refute_1_674,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_1_671,refute_1_673]) ).
cnf(refute_1_675,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_1_676,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_365,refute_1_675]) ).
cnf(refute_1_677,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_1_674,refute_1_676]) ).
cnf(refute_1_678,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_1_86]) ).
cnf(refute_1_679,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_1_680,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_365,refute_1_679]) ).
cnf(refute_1_681,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_1_680,refute_1_678]) ).
cnf(refute_1_682,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_1_90]) ).
cnf(refute_1_683,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_1_91]) ).
cnf(refute_1_684,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_1_685,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_47,refute_1_684]) ).
cnf(refute_1_686,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_1_685,refute_1_683]) ).
cnf(refute_1_687,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_1_688,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_1_687,refute_1_686]) ).
cnf(refute_1_689,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_1_682,refute_1_688]) ).
cnf(refute_1_690,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
inference(canonicalize,[],[normalize_1_92]) ).
cnf(refute_1_691,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).
cnf(refute_1_692,plain,
( op2(e22,e22) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_47,refute_1_691]) ).
cnf(refute_1_693,plain,
( e23 = e20
| op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_1_690,refute_1_692]) ).
cnf(refute_1_694,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_1_693,refute_1_621]) ).
cnf(refute_1_695,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_93]) ).
cnf(refute_1_696,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_1_697,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_44,refute_1_696]) ).
cnf(refute_1_698,plain,
op2(e23,e22) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_1_697,refute_1_695]) ).
cnf(refute_1_699,plain,
( h4(e13) != e20
| op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_1_700,plain,
( op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_1_66,refute_1_699]) ).
cnf(refute_1_701,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),h4(e13)) )],[refute_1_700,refute_1_698]) ).
cnf(refute_1_702,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_1_694,refute_1_701]) ).
cnf(refute_1_703,plain,
( op2(e21,e22) != e20
| op2(e21,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0],$fot(e20)]]) ).
cnf(refute_1_704,plain,
( op2(e21,e22) != e21
| e20 = e21
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_1_702,refute_1_703]) ).
cnf(refute_1_705,plain,
( e20 = e21
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_1_689,refute_1_704]) ).
cnf(refute_1_706,plain,
op2(e20,e22) = e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_705,refute_1_639]) ).
cnf(refute_1_707,plain,
( h1(e13) != e20
| op2(e20,e22) != e20
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_1_708,plain,
( h1(e13) != e20
| h1(e13) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_1_706,refute_1_707]) ).
cnf(refute_1_709,plain,
h1(e13) != e20,
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_1_708,refute_1_681]) ).
cnf(refute_1_710,plain,
( h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_1_677,refute_1_709]) ).
cnf(refute_1_711,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_1_94]) ).
cnf(refute_1_712,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_1_713,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_365,refute_1_712]) ).
cnf(refute_1_714,plain,
( h1(e13) != h3(e11)
| op2(e20,e23) != h3(e11)
| h1(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_1_715,plain,
( h1(e13) != h3(e11)
| h1(e13) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_1_122,refute_1_714]) ).
cnf(refute_1_716,plain,
( h1(e13) != h3(e11)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_1_715,refute_1_713]) ).
cnf(refute_1_717,plain,
h1(e13) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_1_716,refute_1_711]) ).
cnf(refute_1_718,plain,
( h1(e13) != e21
| h3(e11) != e21
| h1(e13) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_1_719,plain,
( h1(e13) != e21
| h1(e13) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_718]) ).
cnf(refute_1_720,plain,
h1(e13) != e21,
inference(resolve,[$cnf( $equal(h1(e13),h3(e11)) )],[refute_1_719,refute_1_717]) ).
cnf(refute_1_721,plain,
( h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_1_710,refute_1_720]) ).
cnf(refute_1_722,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e13) != e22
| h1(e10) = op2(e22,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_1_723,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e10) = op2(e22,h1(e13))
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_1_721,refute_1_722]) ).
cnf(refute_1_724,plain,
( h1(e10) = op2(e22,h1(e13))
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_1_474,refute_1_723]) ).
cnf(refute_1_725,plain,
( h1(e10) != op2(e22,h1(e13))
| h1(e13) != e22
| h1(e10) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e22,h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_1_726,plain,
( h1(e10) != op2(e22,h1(e13))
| h1(e10) = op2(e22,e22)
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_1_721,refute_1_725]) ).
cnf(refute_1_727,plain,
( h1(e10) = op2(e22,e22)
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e22,h1(e13))) )],[refute_1_724,refute_1_726]) ).
cnf(refute_1_728,plain,
( h1(e10) != op2(e22,e22)
| op2(e22,e22) != e23
| h1(e10) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_1_729,plain,
( h1(e10) != op2(e22,e22)
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_47,refute_1_728]) ).
cnf(refute_1_730,plain,
( h1(e10) = e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e22,e22)) )],[refute_1_727,refute_1_729]) ).
cnf(refute_1_731,plain,
( h1(e13) != e23
| h4(e11) != op2(h1(e13),e20)
| h4(e11) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(h1(e13),e20)) ),[1,0],$fot(e23)]]) ).
cnf(refute_1_732,plain,
( h4(e11) != op2(h1(e13),e20)
| h1(e10) = e23
| h4(e11) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_1_730,refute_1_731]) ).
cnf(refute_1_733,plain,
( h1(e10) = e23
| h4(e11) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h1(e13),e20)) )],[refute_1_664,refute_1_732]) ).
cnf(refute_1_734,plain,
( h1(e10) != e20
| h1(e10) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e23) ),[0],$fot(e20)]]) ).
cnf(refute_1_735,plain,
( h1(e10) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_1_615,refute_1_734]) ).
cnf(refute_1_736,plain,
( e20 = e23
| h4(e11) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_1_733,refute_1_735]) ).
cnf(refute_1_737,plain,
h4(e11) = op2(e23,e20),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_736,refute_1_619]) ).
cnf(refute_1_738,plain,
( h4(e11) != op2(e23,e20)
| op2(e23,e20) = h4(e11) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_1_739,plain,
op2(e23,e20) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e20)) )],[refute_1_737,refute_1_738]) ).
cnf(refute_1_740,plain,
( op2(e23,e20) != e21
| op2(e23,e20) != h4(e11)
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e21) ),[0],$fot(h4(e11))]]) ).
cnf(refute_1_741,plain,
( op2(e23,e20) != e21
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h4(e11)) )],[refute_1_739,refute_1_740]) ).
cnf(refute_1_742,plain,
( h4(e11) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_1_640,refute_1_741]) ).
cnf(refute_1_743,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_1_95]) ).
cnf(refute_1_744,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_1_745,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_44,refute_1_744]) ).
cnf(refute_1_746,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_1_743,refute_1_745]) ).
cnf(refute_1_747,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_1_746,refute_1_688]) ).
cnf(refute_1_748,plain,
( h4(e13) != e20
| h4(e13) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e20)]]) ).
cnf(refute_1_749,plain,
( h4(e13) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_1_66,refute_1_748]) ).
cnf(refute_1_750,plain,
( e20 = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_1_747,refute_1_749]) ).
cnf(refute_1_751,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_750,refute_1_619]) ).
cnf(refute_1_752,plain,
( op2(e23,e20) != e23
| op2(e23,e20) != h4(e11)
| h4(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0],$fot(h4(e11))]]) ).
cnf(refute_1_753,plain,
( op2(e23,e20) != e23
| h4(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h4(e11)) )],[refute_1_739,refute_1_752]) ).
cnf(refute_1_754,plain,
( h4(e11) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_1_751,refute_1_753]) ).
cnf(refute_1_755,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_1_96]) ).
cnf(refute_1_756,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_1_757,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_365,refute_1_756]) ).
cnf(refute_1_758,plain,
h1(e13) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_1_757,refute_1_755]) ).
cnf(refute_1_759,plain,
( e20 = e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_1_730,refute_1_735]) ).
cnf(refute_1_760,plain,
h1(e13) = e23,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_759,refute_1_619]) ).
cnf(refute_1_761,plain,
( e23 != op2(e23,e20)
| h1(e13) != e23
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_1_762,plain,
( e23 != op2(e23,e20)
| h1(e13) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_1_760,refute_1_761]) ).
cnf(refute_1_763,plain,
( e23 != h4(e11)
| op2(e23,e20) != h4(e11)
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e20)) ),[1],$fot(h4(e11))]]) ).
cnf(refute_1_764,plain,
( e23 != h4(e11)
| e23 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h4(e11)) )],[refute_1_739,refute_1_763]) ).
cnf(refute_1_765,plain,
( e23 != h4(e11)
| h1(e13) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_1_764,refute_1_762]) ).
cnf(refute_1_766,plain,
e23 != h4(e11),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_1_765,refute_1_758]) ).
cnf(refute_1_767,plain,
( h4(e11) != e23
| e23 = h4(e11) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(h4(e11))),bind(Y,$fot(e23))]]) ).
cnf(refute_1_768,plain,
h4(e11) != e23,
inference(resolve,[$cnf( $equal(e23,h4(e11)) )],[refute_1_767,refute_1_766]) ).
cnf(refute_1_769,plain,
op2(e23,e21) = e23,
inference(resolve,[$cnf( $equal(h4(e11),e23) )],[refute_1_754,refute_1_768]) ).
cnf(refute_1_770,plain,
( op2(e23,e21) != e21
| op2(e23,e21) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e23)]]) ).
cnf(refute_1_771,plain,
( op2(e23,e21) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_1_769,refute_1_770]) ).
cnf(refute_1_772,plain,
( e23 = e21
| h4(e11) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_1_742,refute_1_771]) ).
cnf(refute_1_773,plain,
e21 != e23,
inference(canonicalize,[],[normalize_1_97]) ).
cnf(refute_1_774,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_1_775,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_1_774,refute_1_773]) ).
cnf(refute_1_776,plain,
( h4(e11) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_1_772,refute_1_775]) ).
cnf(refute_1_777,plain,
h4(op1(e10,e11)) != op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_1_98]) ).
cnf(refute_1_778,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_1_779,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(h1(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_1_780,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e11)) = op2(h1(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_1_778,refute_1_779]) ).
cnf(refute_1_781,plain,
op2(h4(e10),h4(e11)) = op2(h1(e13),h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_1_494,refute_1_780]) ).
cnf(refute_1_782,plain,
( h4(op1(e10,e11)) != op2(h1(e13),h4(e11))
| op2(h4(e10),h4(e11)) != op2(h1(e13),h4(e11))
| h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) ),[1],$fot(op2(h1(e13),h4(e11)))]]) ).
cnf(refute_1_783,plain,
( h4(op1(e10,e11)) != op2(h1(e13),h4(e11))
| h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h1(e13),h4(e11))) )],[refute_1_781,refute_1_782]) ).
cnf(refute_1_784,plain,
h4(op1(e10,e11)) != op2(h1(e13),h4(e11)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_1_783,refute_1_777]) ).
cnf(refute_1_785,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(canonicalize,[],[normalize_1_99]) ).
cnf(refute_1_786,plain,
( op1(e10,e12) != e10
| op1(e10,e12) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0],$fot(e10)]]) ).
cnf(refute_1_787,plain,
( op1(e10,e12) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_1_448,refute_1_786]) ).
cnf(refute_1_788,plain,
( e10 = e12
| op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_1_785,refute_1_787]) ).
cnf(refute_1_789,plain,
( op1(e10,e13) != e11
| op1(e10,e13) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[0],$fot(e11)]]) ).
cnf(refute_1_790,plain,
( op1(e10,e13) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_1_303,refute_1_789]) ).
cnf(refute_1_791,plain,
( e10 = e12
| e11 = e12
| op1(e10,e10) = e12
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_1_788,refute_1_790]) ).
cnf(refute_1_792,plain,
e10 != e12,
inference(canonicalize,[],[normalize_1_100]) ).
cnf(refute_1_793,plain,
( e11 = e12
| op1(e10,e10) = e12
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_1_791,refute_1_792]) ).
cnf(refute_1_794,plain,
e11 != e12,
inference(canonicalize,[],[normalize_1_101]) ).
cnf(refute_1_795,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_1_793,refute_1_794]) ).
cnf(refute_1_796,plain,
( op1(e10,e10) != e12
| op1(e10,e10) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[0],$fot(e13)]]) ).
cnf(refute_1_797,plain,
( op1(e10,e10) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_1_603,refute_1_796]) ).
cnf(refute_1_798,plain,
( e13 = e12
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_1_795,refute_1_797]) ).
cnf(refute_1_799,plain,
e12 != e13,
inference(canonicalize,[],[normalize_1_102]) ).
cnf(refute_1_800,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_1_801,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_1_800,refute_1_799]) ).
cnf(refute_1_802,plain,
op1(e10,e11) = e12,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_1_798,refute_1_801]) ).
cnf(refute_1_803,plain,
h4(op1(e10,e11)) = h4(op1(e10,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e11)))]]) ).
cnf(refute_1_804,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e11))
| op1(e10,e11) != e12
| h4(op1(e10,e11)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) ),[1,0],$fot(e12)]]) ).
cnf(refute_1_805,plain,
( op1(e10,e11) != e12
| h4(op1(e10,e11)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) )],[refute_1_803,refute_1_804]) ).
cnf(refute_1_806,plain,
h4(op1(e10,e11)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_1_802,refute_1_805]) ).
cnf(refute_1_807,plain,
( h4(e12) != e23
| h4(op1(e10,e11)) != h4(e12)
| h4(op1(e10,e11)) = e23 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).
cnf(refute_1_808,plain,
( h4(e12) != e23
| h4(op1(e10,e11)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(e12)) )],[refute_1_806,refute_1_807]) ).
cnf(refute_1_809,plain,
h4(op1(e10,e11)) = e23,
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_1_526,refute_1_808]) ).
cnf(refute_1_810,plain,
( e23 != op2(h1(e13),h4(e11))
| h4(op1(e10,e11)) != e23
| h4(op1(e10,e11)) = op2(h1(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),e23) ),[1],$fot(op2(h1(e13),h4(e11)))]]) ).
cnf(refute_1_811,plain,
( e23 != op2(h1(e13),h4(e11))
| h4(op1(e10,e11)) = op2(h1(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e23) )],[refute_1_809,refute_1_810]) ).
cnf(refute_1_812,plain,
op2(h1(e13),h4(e11)) = op2(h1(e13),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e11)))]]) ).
cnf(refute_1_813,plain,
( h1(e13) != e23
| op2(h1(e13),h4(e11)) != op2(h1(e13),h4(e11))
| op2(h1(e13),h4(e11)) = op2(e23,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e11)),op2(h1(e13),h4(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_1_814,plain,
( h1(e13) != e23
| op2(h1(e13),h4(e11)) = op2(e23,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e11)),op2(h1(e13),h4(e11))) )],[refute_1_812,refute_1_813]) ).
cnf(refute_1_815,plain,
op2(h1(e13),h4(e11)) = op2(e23,h4(e11)),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_1_760,refute_1_814]) ).
cnf(refute_1_816,plain,
( e23 != op2(e23,h4(e11))
| op2(h1(e13),h4(e11)) != op2(e23,h4(e11))
| e23 = op2(h1(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(h1(e13),h4(e11))) ),[1],$fot(op2(e23,h4(e11)))]]) ).
cnf(refute_1_817,plain,
( e23 != op2(e23,h4(e11))
| e23 = op2(h1(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e11)),op2(e23,h4(e11))) )],[refute_1_815,refute_1_816]) ).
cnf(refute_1_818,plain,
( e23 != op2(e23,h4(e11))
| h4(op1(e10,e11)) = op2(h1(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(e23,op2(h1(e13),h4(e11))) )],[refute_1_817,refute_1_811]) ).
cnf(refute_1_819,plain,
e23 != op2(e23,h4(e11)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h1(e13),h4(e11))) )],[refute_1_818,refute_1_784]) ).
cnf(refute_1_820,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_1_103]) ).
cnf(refute_1_821,plain,
( op2(e23,e23) != e22
| op2(e23,e23) != h4(e13)
| h4(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(h4(e13))]]) ).
cnf(refute_1_822,plain,
( op2(e23,e23) != e22
| h4(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_44,refute_1_821]) ).
cnf(refute_1_823,plain,
( h4(e13) = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_1_820,refute_1_822]) ).
cnf(refute_1_824,plain,
( h4(e13) != e20
| h4(e13) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e22) ),[0],$fot(e20)]]) ).
cnf(refute_1_825,plain,
( h4(e13) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_1_66,refute_1_824]) ).
cnf(refute_1_826,plain,
( e20 = e22
| op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_1_823,refute_1_825]) ).
cnf(refute_1_827,plain,
e20 != e22,
inference(canonicalize,[],[normalize_1_104]) ).
cnf(refute_1_828,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_826,refute_1_827]) ).
cnf(refute_1_829,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != h4(e11)
| h4(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[0],$fot(h4(e11))]]) ).
cnf(refute_1_830,plain,
( op2(e23,e20) != e22
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h4(e11)) )],[refute_1_739,refute_1_829]) ).
cnf(refute_1_831,plain,
( h4(e11) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_828,refute_1_830]) ).
cnf(refute_1_832,plain,
( op2(e23,e21) != e22
| op2(e23,e21) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e22) ),[0],$fot(e23)]]) ).
cnf(refute_1_833,plain,
( op2(e23,e21) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_1_769,refute_1_832]) ).
cnf(refute_1_834,plain,
( e23 = e22
| h4(e11) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_1_831,refute_1_833]) ).
cnf(refute_1_835,plain,
e22 != e23,
inference(canonicalize,[],[normalize_1_105]) ).
cnf(refute_1_836,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_1_837,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_1_836,refute_1_835]) ).
cnf(refute_1_838,plain,
( h4(e11) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_1_834,refute_1_837]) ).
cnf(refute_1_839,plain,
( op2(e23,e22) != e21
| op2(e23,e22) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e21) ),[0],$fot(e22)]]) ).
cnf(refute_1_840,plain,
( op2(e23,e22) != e21
| e22 = e21
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_1_838,refute_1_839]) ).
cnf(refute_1_841,plain,
( e22 = e21
| h4(e11) = e21
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_1_776,refute_1_840]) ).
cnf(refute_1_842,plain,
e21 != e22,
inference(canonicalize,[],[normalize_1_106]) ).
cnf(refute_1_843,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_1_844,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_843,refute_1_842]) ).
cnf(refute_1_845,plain,
( h4(e11) = e21
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_1_841,refute_1_844]) ).
cnf(refute_1_846,plain,
( e23 != op2(e23,e21)
| h4(e11) != e21
| e23 = op2(e23,h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_847,plain,
( e23 != op2(e23,e21)
| e23 = op2(e23,h4(e11))
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_1_845,refute_1_846]) ).
cnf(refute_1_848,plain,
( e23 != op2(e23,e21)
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,h4(e11))) )],[refute_1_847,refute_1_819]) ).
cnf(refute_1_849,plain,
( e23 != e23
| op2(e23,e21) != e23
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_1_850,plain,
( e23 != e23
| e23 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_1_769,refute_1_849]) ).
cnf(refute_1_851,plain,
( e23 != e23
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_1_850,refute_1_848]) ).
cnf(refute_1_852,plain,
h4(e11) = e22,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_394,refute_1_851]) ).
cnf(refute_1_853,plain,
( h4(e11) != e21
| h4(e11) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[0],$fot(e22)]]) ).
cnf(refute_1_854,plain,
( h4(e11) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),e22) )],[refute_1_852,refute_1_853]) ).
cnf(refute_1_855,plain,
( e22 = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_1_776,refute_1_854]) ).
cnf(refute_1_856,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_1_855,refute_1_844]) ).
cnf(refute_1_857,plain,
( e21 != e21
| op2(e23,e22) != e21
| e21 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e23,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_1_858,plain,
( e21 != e21
| e21 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_1_856,refute_1_857]) ).
cnf(refute_1_859,plain,
( e21 != e21
| h3(op1(e13,e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e22)) )],[refute_1_858,refute_1_631]) ).
cnf(refute_1_860,plain,
( e21 != e21
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e13,e11)) != op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),op2(e23,e22)) )],[refute_1_859,refute_1_407]) ).
cnf(refute_1_861,plain,
h3(op1(e13,e11)) = h3(op1(e13,e11)),
introduced(tautology,[refl,[$fot(h3(op1(e13,e11)))]]) ).
cnf(refute_1_862,plain,
( h3(op1(e13,e11)) != h3(op1(e13,e11))
| op1(e13,e11) != e13
| h3(op1(e13,e11)) = h3(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e11)),h3(op1(e13,e11))) ),[1,0],$fot(e13)]]) ).
cnf(refute_1_863,plain,
( op1(e13,e11) != e13
| h3(op1(e13,e11)) = h3(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),h3(op1(e13,e11))) )],[refute_1_861,refute_1_862]) ).
cnf(refute_1_864,plain,
h3(op1(e13,e11)) = h3(e13),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_1_599,refute_1_863]) ).
cnf(refute_1_865,plain,
( h3(e13) != e23
| h3(op1(e13,e11)) != h3(e13)
| h3(op1(e13,e11)) = e23 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h3(op1(e13,e11)))),bind(Y,$fot(h3(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_1_866,plain,
( h3(e13) != e23
| h3(op1(e13,e11)) = e23 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),h3(e13)) )],[refute_1_864,refute_1_865]) ).
cnf(refute_1_867,plain,
h3(op1(e13,e11)) = e23,
inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_1_386,refute_1_866]) ).
cnf(refute_1_868,plain,
( e23 != op2(e23,e21)
| h3(op1(e13,e11)) != e23
| h3(op1(e13,e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e11)),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_1_869,plain,
( e23 != op2(e23,e21)
| h3(op1(e13,e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),e23) )],[refute_1_867,refute_1_868]) ).
cnf(refute_1_870,plain,
( e23 != e23
| h3(op1(e13,e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_1_850,refute_1_869]) ).
cnf(refute_1_871,plain,
( e21 != e21
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e13,e10)) != op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),op2(e23,e21)) )],[refute_1_870,refute_1_860]) ).
cnf(refute_1_872,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_1_107]) ).
cnf(refute_1_873,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_1_108]) ).
cnf(refute_1_874,plain,
( op1(e13,e10) != e10
| op1(e13,e13) != e10
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_1_875,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_32,refute_1_874]) ).
cnf(refute_1_876,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_1_875,refute_1_873]) ).
cnf(refute_1_877,plain,
( op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_1_872,refute_1_876]) ).
cnf(refute_1_878,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_1_109]) ).
cnf(refute_1_879,plain,
( op1(e13,e10) != e11
| op1(e13,e12) != e11
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_1_880,plain,
( op1(e13,e10) != e11
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_1_622,refute_1_879]) ).
cnf(refute_1_881,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_1_880,refute_1_878]) ).
cnf(refute_1_882,plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_1_877,refute_1_881]) ).
cnf(refute_1_883,plain,
op1(e13,e10) != op1(e13,e11),
inference(canonicalize,[],[normalize_1_110]) ).
cnf(refute_1_884,plain,
( op1(e11,e10) != e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_1_111]) ).
cnf(refute_1_885,plain,
( op1(e11,e10) != e11
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_1_884,refute_1_598]) ).
cnf(refute_1_886,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_1_112]) ).
cnf(refute_1_887,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_1_113]) ).
cnf(refute_1_888,plain,
( op1(e12,e11) != e13
| op1(e12,e12) != e13
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_1_889,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_14,refute_1_888]) ).
cnf(refute_1_890,plain,
op1(e12,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_1_889,refute_1_887]) ).
cnf(refute_1_891,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_1_886,refute_1_890]) ).
cnf(refute_1_892,plain,
( op1(e13,e10) != e13
| op1(e13,e11) != e13
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_1_893,plain,
( op1(e13,e10) != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e13,e10) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_1_891,refute_1_892]) ).
cnf(refute_1_894,plain,
( op1(e13,e10) != e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_1_893,refute_1_883]) ).
cnf(refute_1_895,plain,
( e13 != e13
| op1(e13,e10) != e13
| op1(e13,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_1_896,plain,
( e13 != e13
| op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_1_538,refute_1_895]) ).
cnf(refute_1_897,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e10) = e11
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_1_896,refute_1_894]) ).
cnf(refute_1_898,plain,
( op1(e10,e11) = e13
| op1(e11,e10) = e11
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_542,refute_1_897]) ).
cnf(refute_1_899,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_1_114]) ).
cnf(refute_1_900,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_1_115]) ).
cnf(refute_1_901,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_1_900,refute_1_582]) ).
cnf(refute_1_902,plain,
( e11 = e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_1_901,refute_1_562]) ).
cnf(refute_1_903,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_1_904,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_32,refute_1_903]) ).
cnf(refute_1_905,plain,
( e10 = e13
| e11 = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_1_902,refute_1_904]) ).
cnf(refute_1_906,plain,
( e11 = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_1_905,refute_1_439]) ).
cnf(refute_1_907,plain,
op1(e11,e13) = e13,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_1_906,refute_1_564]) ).
cnf(refute_1_908,plain,
( op1(e11,e11) != e13
| op1(e11,e13) != e13
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_1_909,plain,
( op1(e11,e11) != e13
| op1(e11,e11) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_1_907,refute_1_908]) ).
cnf(refute_1_910,plain,
op1(e11,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_1_909,refute_1_899]) ).
cnf(refute_1_911,plain,
( op1(e10,e11) = e13
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_1_898,refute_1_910]) ).
cnf(refute_1_912,plain,
( e11 != e11
| op1(e10,e11) = e13
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_911,refute_1_544]) ).
cnf(refute_1_913,plain,
( e11 != e11
| op1(e10,e11) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_912,refute_1_885]) ).
cnf(refute_1_914,plain,
( op1(e10,e11) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_547,refute_1_913]) ).
cnf(refute_1_915,plain,
( op1(e13,e10) != e13
| op1(e10,e11) = e13
| op1(e13,e10) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_1_914,refute_1_892]) ).
cnf(refute_1_916,plain,
( op1(e13,e10) != e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_1_915,refute_1_883]) ).
cnf(refute_1_917,plain,
( op1(e10,e11) != e12
| op1(e10,e11) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e12)]]) ).
cnf(refute_1_918,plain,
( op1(e10,e11) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_1_802,refute_1_917]) ).
cnf(refute_1_919,plain,
( op1(e13,e10) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_1_916,refute_1_918]) ).
cnf(refute_1_920,plain,
op1(e13,e10) != e13,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_1_919,refute_1_799]) ).
cnf(refute_1_921,plain,
op1(e13,e10) = e12,
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_1_882,refute_1_920]) ).
cnf(refute_1_922,plain,
h3(op1(e13,e10)) = h3(op1(e13,e10)),
introduced(tautology,[refl,[$fot(h3(op1(e13,e10)))]]) ).
cnf(refute_1_923,plain,
( h3(op1(e13,e10)) != h3(op1(e13,e10))
| op1(e13,e10) != e12
| h3(op1(e13,e10)) = h3(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e10)),h3(op1(e13,e10))) ),[1,0],$fot(e12)]]) ).
cnf(refute_1_924,plain,
( op1(e13,e10) != e12
| h3(op1(e13,e10)) = h3(e12) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),h3(op1(e13,e10))) )],[refute_1_922,refute_1_923]) ).
cnf(refute_1_925,plain,
h3(op1(e13,e10)) = h3(e12),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_1_921,refute_1_924]) ).
cnf(refute_1_926,plain,
( h3(e12) != e22
| h3(op1(e13,e10)) != h3(e12)
| h3(op1(e13,e10)) = e22 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h3(op1(e13,e10)))),bind(Y,$fot(h3(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_1_927,plain,
( h3(e12) != e22
| h3(op1(e13,e10)) = e22 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),h3(e12)) )],[refute_1_925,refute_1_926]) ).
cnf(refute_1_928,plain,
h3(op1(e13,e10)) = e22,
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_1_88,refute_1_927]) ).
cnf(refute_1_929,plain,
( e22 != op2(e23,e20)
| h3(op1(e13,e10)) != e22
| h3(op1(e13,e10)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e10)),e22) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_1_930,plain,
( e22 != op2(e23,e20)
| h3(op1(e13,e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),e22) )],[refute_1_928,refute_1_929]) ).
cnf(refute_1_931,plain,
( h4(e11) != e22
| h4(e11) != op2(e23,e20)
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e23,e20)) ),[0],$fot(e22)]]) ).
cnf(refute_1_932,plain,
( h4(e11) != op2(e23,e20)
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h4(e11),e22) )],[refute_1_852,refute_1_931]) ).
cnf(refute_1_933,plain,
e22 = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e20)) )],[refute_1_737,refute_1_932]) ).
cnf(refute_1_934,plain,
( e22 != op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_1_935,plain,
op2(e23,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_1_933,refute_1_934]) ).
cnf(refute_1_936,plain,
( e22 != e22
| op2(e23,e20) != e22
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_1_937,plain,
( e22 != e22
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_935,refute_1_936]) ).
cnf(refute_1_938,plain,
( e22 != e22
| h3(op1(e13,e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_1_937,refute_1_930]) ).
cnf(refute_1_939,plain,
( e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),op2(e23,e20)) )],[refute_1_938,refute_1_871]) ).
cnf(refute_1_940,plain,
h3(op1(e12,e13)) = h3(op1(e12,e13)),
introduced(tautology,[refl,[$fot(h3(op1(e12,e13)))]]) ).
cnf(refute_1_941,plain,
( h3(op1(e12,e13)) != h3(op1(e12,e13))
| op1(e12,e13) != e12
| h3(op1(e12,e13)) = h3(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e13)),h3(op1(e12,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_1_942,plain,
( op1(e12,e13) != e12
| h3(op1(e12,e13)) = h3(e12) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),h3(op1(e12,e13))) )],[refute_1_940,refute_1_941]) ).
cnf(refute_1_943,plain,
h3(op1(e12,e13)) = h3(e12),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_1_595,refute_1_942]) ).
cnf(refute_1_944,plain,
( h3(e12) != e22
| h3(op1(e12,e13)) != h3(e12)
| h3(op1(e12,e13)) = e22 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h3(op1(e12,e13)))),bind(Y,$fot(h3(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_1_945,plain,
( h3(e12) != e22
| h3(op1(e12,e13)) = e22 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),h3(e12)) )],[refute_1_943,refute_1_944]) ).
cnf(refute_1_946,plain,
h3(op1(e12,e13)) = e22,
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_1_88,refute_1_945]) ).
cnf(refute_1_947,plain,
( e22 != op2(e22,e23)
| h3(op1(e12,e13)) != e22
| h3(op1(e12,e13)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e13)),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_1_948,plain,
( e22 != op2(e22,e23)
| h3(op1(e12,e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),e22) )],[refute_1_946,refute_1_947]) ).
cnf(refute_1_949,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(canonicalize,[],[normalize_1_118]) ).
cnf(refute_1_950,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_951,plain,
( op2(e20,e23) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_1_122,refute_1_950]) ).
cnf(refute_1_952,plain,
( h3(e11) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_1_949,refute_1_951]) ).
cnf(refute_1_953,plain,
( h3(e11) != e20
| h3(e11) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e20) ),[0],$fot(e21)]]) ).
cnf(refute_1_954,plain,
( h3(e11) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_953]) ).
cnf(refute_1_955,plain,
( e21 = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_1_952,refute_1_954]) ).
cnf(refute_1_956,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_1_119]) ).
cnf(refute_1_957,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_958,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_1_122,refute_1_957]) ).
cnf(refute_1_959,plain,
( h3(e11) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_1_956,refute_1_958]) ).
cnf(refute_1_960,plain,
( h3(e11) = e23
| h4(e13) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_1_959,refute_1_745]) ).
cnf(refute_1_961,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_1_120]) ).
cnf(refute_1_962,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_1_963,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_47,refute_1_962]) ).
cnf(refute_1_964,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_1_963,refute_1_961]) ).
cnf(refute_1_965,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_1_966,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_1_965,refute_1_964]) ).
cnf(refute_1_967,plain,
( h3(e11) = e23
| h4(e13) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_1_960,refute_1_966]) ).
cnf(refute_1_968,plain,
( h3(e11) != e21
| h3(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_1_969,plain,
( h3(e11) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_968]) ).
cnf(refute_1_970,plain,
( e21 = e23
| h4(e13) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_1_967,refute_1_969]) ).
cnf(refute_1_971,plain,
( e20 = e23
| e21 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_1_970,refute_1_749]) ).
cnf(refute_1_972,plain,
( e21 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_971,refute_1_619]) ).
cnf(refute_1_973,plain,
op2(e21,e23) = e23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_1_972,refute_1_773]) ).
cnf(refute_1_974,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(e23)]]) ).
cnf(refute_1_975,plain,
( op2(e21,e23) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_1_973,refute_1_974]) ).
cnf(refute_1_976,plain,
( e21 = e20
| e23 = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_1_955,refute_1_975]) ).
cnf(refute_1_977,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_1_978,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_977,refute_1_639]) ).
cnf(refute_1_979,plain,
( e23 = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_1_976,refute_1_978]) ).
cnf(refute_1_980,plain,
op2(e22,e23) = e22,
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_1_979,refute_1_775]) ).
cnf(refute_1_981,plain,
( e22 != e22
| op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_1_982,plain,
( e22 != e22
| e22 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_1_980,refute_1_981]) ).
cnf(refute_1_983,plain,
( e22 != e22
| h3(op1(e12,e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_1_982,refute_1_948]) ).
cnf(refute_1_984,plain,
( e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e12,e11)) != op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),op2(e22,e23)) )],[refute_1_983,refute_1_939]) ).
cnf(refute_1_985,plain,
op1(e12,e10) != op1(e12,e11),
inference(canonicalize,[],[normalize_1_121]) ).
cnf(refute_1_986,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(canonicalize,[],[normalize_1_122]) ).
cnf(refute_1_987,plain,
( op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_986,refute_1_516]) ).
cnf(refute_1_988,plain,
( op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_1_987,refute_1_876]) ).
cnf(refute_1_989,plain,
( e10 != op1(e12,e11)
| op1(e12,e10) != e10
| op1(e12,e10) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_1_990,plain,
( e10 != op1(e12,e11)
| op1(e11,e10) = e10
| op1(e12,e10) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_1_988,refute_1_989]) ).
cnf(refute_1_991,plain,
( e10 != op1(e12,e11)
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e11)) )],[refute_1_990,refute_1_985]) ).
cnf(refute_1_992,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(canonicalize,[],[normalize_1_123]) ).
cnf(refute_1_993,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_1_992,refute_1_890]) ).
cnf(refute_1_994,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_1_993,refute_1_598]) ).
cnf(refute_1_995,plain,
( e10 != e10
| op1(e12,e11) != e10
| e10 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_1_996,plain,
( e10 != e10
| e10 = op1(e12,e11)
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_1_994,refute_1_995]) ).
cnf(refute_1_997,plain,
( e10 != e10
| op1(e11,e10) = e10
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(e10,op1(e12,e11)) )],[refute_1_996,refute_1_991]) ).
cnf(refute_1_998,plain,
( op1(e11,e10) = e10
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_1_537,refute_1_997]) ).
cnf(refute_1_999,plain,
( e13 != op1(e13,e11)
| op1(e13,e10) != e13
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[1],$fot(op1(e13,e11))]]) ).
cnf(refute_1_1000,plain,
( e13 != op1(e13,e11)
| op1(e11,e10) = e11
| op1(e13,e10) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_1_538,refute_1_999]) ).
cnf(refute_1_1001,plain,
( e13 != op1(e13,e11)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_1_1000,refute_1_883]) ).
cnf(refute_1_1002,plain,
( e13 != e13
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e11)) )],[refute_1_601,refute_1_1001]) ).
cnf(refute_1_1003,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_542,refute_1_1002]) ).
cnf(refute_1_1004,plain,
( op1(e11,e10) != e10
| op1(e11,e10) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e10) ),[0],$fot(e11)]]) ).
cnf(refute_1_1005,plain,
( op1(e11,e10) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_1003,refute_1_1004]) ).
cnf(refute_1_1006,plain,
( e11 = e10
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_1_998,refute_1_1005]) ).
cnf(refute_1_1007,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_1_1008,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_1_1007,refute_1_447]) ).
cnf(refute_1_1009,plain,
op1(e12,e11) = e11,
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_1_1006,refute_1_1008]) ).
cnf(refute_1_1010,plain,
h3(op1(e12,e11)) = h3(op1(e12,e11)),
introduced(tautology,[refl,[$fot(h3(op1(e12,e11)))]]) ).
cnf(refute_1_1011,plain,
( h3(op1(e12,e11)) != h3(op1(e12,e11))
| op1(e12,e11) != e11
| h3(op1(e12,e11)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e11)),h3(op1(e12,e11))) ),[1,0],$fot(e11)]]) ).
cnf(refute_1_1012,plain,
( op1(e12,e11) != e11
| h3(op1(e12,e11)) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e11)),h3(op1(e12,e11))) )],[refute_1_1010,refute_1_1011]) ).
cnf(refute_1_1013,plain,
h3(op1(e12,e11)) = h3(e11),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_1_1009,refute_1_1012]) ).
cnf(refute_1_1014,plain,
( h3(e11) != e21
| h3(op1(e12,e11)) != h3(e11)
| h3(op1(e12,e11)) = e21 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h3(op1(e12,e11)))),bind(Y,$fot(h3(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_1_1015,plain,
( h3(e11) != e21
| h3(op1(e12,e11)) = e21 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e11)),h3(e11)) )],[refute_1_1013,refute_1_1014]) ).
cnf(refute_1_1016,plain,
h3(op1(e12,e11)) = e21,
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_1015]) ).
cnf(refute_1_1017,plain,
( e21 != op2(e22,e21)
| h3(op1(e12,e11)) != e21
| h3(op1(e12,e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e11)),e21) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_1_1018,plain,
( e21 != op2(e22,e21)
| h3(op1(e12,e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e11)),e21) )],[refute_1_1016,refute_1_1017]) ).
cnf(refute_1_1019,plain,
op2(e22,e21) != op2(e22,e23),
inference(canonicalize,[],[normalize_1_124]) ).
cnf(refute_1_1020,plain,
op2(e22,e20) != op2(e22,e21),
inference(canonicalize,[],[normalize_1_125]) ).
cnf(refute_1_1021,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(canonicalize,[],[normalize_1_126]) ).
cnf(refute_1_1022,plain,
( h1(e13) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_1_1021,refute_1_667]) ).
cnf(refute_1_1023,plain,
( op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_1_1022,refute_1_709]) ).
cnf(refute_1_1024,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_127]) ).
cnf(refute_1_1025,plain,
( op2(e23,e20) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_1_1026,plain,
( op2(e23,e20) != h4(e13)
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_44,refute_1_1025]) ).
cnf(refute_1_1027,plain,
op2(e23,e20) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_1_1026,refute_1_1024]) ).
cnf(refute_1_1028,plain,
( h4(e13) != e20
| op2(e23,e20) != e20
| op2(e23,e20) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_1_1029,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_1_66,refute_1_1028]) ).
cnf(refute_1_1030,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),h4(e13)) )],[refute_1_1029,refute_1_1027]) ).
cnf(refute_1_1031,plain,
( op2(e21,e20) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_1_1023,refute_1_1030]) ).
cnf(refute_1_1032,plain,
( e20 != op2(e22,e21)
| op2(e22,e20) != e20
| op2(e22,e20) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_1_1033,plain,
( e20 != op2(e22,e21)
| op2(e21,e20) = e20
| op2(e22,e20) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_1_1031,refute_1_1032]) ).
cnf(refute_1_1034,plain,
( e20 != op2(e22,e21)
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e21)) )],[refute_1_1033,refute_1_1020]) ).
cnf(refute_1_1035,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(canonicalize,[],[normalize_1_128]) ).
cnf(refute_1_1036,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_1_129]) ).
cnf(refute_1_1037,plain,
( op2(e22,e21) != e23
| op2(e22,e22) != e23
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_1_1038,plain,
( op2(e22,e21) != e23
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_47,refute_1_1037]) ).
cnf(refute_1_1039,plain,
op2(e22,e21) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_1_1038,refute_1_1036]) ).
cnf(refute_1_1040,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_1_1035,refute_1_1039]) ).
cnf(refute_1_1041,plain,
( e20 != e20
| op2(e22,e21) != e20
| e20 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_1_1042,plain,
( e20 != e20
| e20 = op2(e22,e21)
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_1_1040,refute_1_1041]) ).
cnf(refute_1_1043,plain,
( e20 != e20
| op2(e21,e20) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_1_1042,refute_1_1034]) ).
cnf(refute_1_1044,plain,
( op2(e21,e20) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_390,refute_1_1043]) ).
cnf(refute_1_1045,plain,
( e22 != op2(e22,e23)
| op2(e22,e21) != e22
| op2(e22,e21) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_1_1046,plain,
( e22 != op2(e22,e23)
| op2(e21,e20) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_1_1044,refute_1_1045]) ).
cnf(refute_1_1047,plain,
( e22 != op2(e22,e23)
| op2(e21,e20) = e20
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e23)) )],[refute_1_1046,refute_1_1019]) ).
cnf(refute_1_1048,plain,
( e22 != e22
| op2(e21,e20) = e20
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_1_982,refute_1_1047]) ).
cnf(refute_1_1049,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_1_1050,plain,
( op2(e21,e20) = e20
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_1049,refute_1_1048]) ).
cnf(refute_1_1051,plain,
( op2(e20,e22) != e20
| op2(e21,e20) = e21
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_1_132]) ).
cnf(refute_1_1052,plain,
( e20 != e20
| op2(e20,e22) != e20
| op2(e20,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0,0],$fot(e20)]]) ).
cnf(refute_1_1053,plain,
( e20 != e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_1_706,refute_1_1052]) ).
cnf(refute_1_1054,plain,
( e20 != e20
| op2(e21,e20) = e21
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_1_1053,refute_1_1051]) ).
cnf(refute_1_1055,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0],$fot(e22)]]) ).
cnf(refute_1_1056,plain,
( op2(e23,e20) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_935,refute_1_1055]) ).
cnf(refute_1_1057,plain,
( e20 != e20
| e22 = e23
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_1_1054,refute_1_1056]) ).
cnf(refute_1_1058,plain,
( e22 = e23
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_390,refute_1_1057]) ).
cnf(refute_1_1059,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_1_1058,refute_1_835]) ).
cnf(refute_1_1060,plain,
( op2(e21,e20) != e20
| op2(e21,e20) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[0],$fot(e21)]]) ).
cnf(refute_1_1061,plain,
( op2(e21,e20) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_1_1059,refute_1_1060]) ).
cnf(refute_1_1062,plain,
( e21 = e20
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_1_1050,refute_1_1061]) ).
cnf(refute_1_1063,plain,
op2(e22,e21) = e21,
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_1_1062,refute_1_978]) ).
cnf(refute_1_1064,plain,
( e21 != e21
| op2(e22,e21) != e21
| e21 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_1_1065,plain,
( e21 != e21
| e21 = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_1_1063,refute_1_1064]) ).
cnf(refute_1_1066,plain,
( e21 != e21
| h3(op1(e12,e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_1_1065,refute_1_1018]) ).
cnf(refute_1_1067,plain,
( e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e12,e10)) != op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e11)),op2(e22,e21)) )],[refute_1_1066,refute_1_984]) ).
cnf(refute_1_1068,plain,
( e11 = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_1_988,refute_1_1005]) ).
cnf(refute_1_1069,plain,
op1(e12,e10) = e10,
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_1_1068,refute_1_1008]) ).
cnf(refute_1_1070,plain,
h3(op1(e12,e10)) = h3(op1(e12,e10)),
introduced(tautology,[refl,[$fot(h3(op1(e12,e10)))]]) ).
cnf(refute_1_1071,plain,
( h3(op1(e12,e10)) != h3(op1(e12,e10))
| op1(e12,e10) != e10
| h3(op1(e12,e10)) = h3(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e10)),h3(op1(e12,e10))) ),[1,0],$fot(e10)]]) ).
cnf(refute_1_1072,plain,
( op1(e12,e10) != e10
| h3(op1(e12,e10)) = h3(e10) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),h3(op1(e12,e10))) )],[refute_1_1070,refute_1_1071]) ).
cnf(refute_1_1073,plain,
h3(op1(e12,e10)) = h3(e10),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_1_1069,refute_1_1072]) ).
cnf(refute_1_1074,plain,
( h3(e10) != e20
| h3(op1(e12,e10)) != h3(e10)
| h3(op1(e12,e10)) = e20 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h3(op1(e12,e10)))),bind(Y,$fot(h3(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_1_1075,plain,
( h3(e10) != e20
| h3(op1(e12,e10)) = e20 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),h3(e10)) )],[refute_1_1073,refute_1_1074]) ).
cnf(refute_1_1076,plain,
h3(op1(e12,e10)) = e20,
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_10,refute_1_1075]) ).
cnf(refute_1_1077,plain,
( e20 != op2(e22,e20)
| h3(op1(e12,e10)) != e20
| h3(op1(e12,e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e10)),e20) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_1_1078,plain,
( e20 != op2(e22,e20)
| h3(op1(e12,e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),e20) )],[refute_1_1076,refute_1_1077]) ).
cnf(refute_1_1079,plain,
( e21 = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_1_1031,refute_1_1061]) ).
cnf(refute_1_1080,plain,
op2(e22,e20) = e20,
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_1_1079,refute_1_978]) ).
cnf(refute_1_1081,plain,
( e20 != e20
| op2(e22,e20) != e20
| e20 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_1_1082,plain,
( e20 != e20
| e20 = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_1_1080,refute_1_1081]) ).
cnf(refute_1_1083,plain,
( e20 != e20
| h3(op1(e12,e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e20)) )],[refute_1_1082,refute_1_1078]) ).
cnf(refute_1_1084,plain,
( e20 != e20
| e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e13)) != op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),op2(e22,e20)) )],[refute_1_1083,refute_1_1067]) ).
cnf(refute_1_1085,plain,
h3(op1(e11,e13)) = h3(op1(e11,e13)),
introduced(tautology,[refl,[$fot(h3(op1(e11,e13)))]]) ).
cnf(refute_1_1086,plain,
( h3(op1(e11,e13)) != h3(op1(e11,e13))
| op1(e11,e13) != e13
| h3(op1(e11,e13)) = h3(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e13)),h3(op1(e11,e13))) ),[1,0],$fot(e13)]]) ).
cnf(refute_1_1087,plain,
( op1(e11,e13) != e13
| h3(op1(e11,e13)) = h3(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),h3(op1(e11,e13))) )],[refute_1_1085,refute_1_1086]) ).
cnf(refute_1_1088,plain,
h3(op1(e11,e13)) = h3(e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_1_907,refute_1_1087]) ).
cnf(refute_1_1089,plain,
( h3(e13) != e23
| h3(op1(e11,e13)) != h3(e13)
| h3(op1(e11,e13)) = e23 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h3(op1(e11,e13)))),bind(Y,$fot(h3(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_1_1090,plain,
( h3(e13) != e23
| h3(op1(e11,e13)) = e23 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),h3(e13)) )],[refute_1_1088,refute_1_1089]) ).
cnf(refute_1_1091,plain,
h3(op1(e11,e13)) = e23,
inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_1_386,refute_1_1090]) ).
cnf(refute_1_1092,plain,
( e23 != op2(e21,e23)
| h3(op1(e11,e13)) != e23
| h3(op1(e11,e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e13)),e23) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_1_1093,plain,
( e23 != op2(e21,e23)
| h3(op1(e11,e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),e23) )],[refute_1_1091,refute_1_1092]) ).
cnf(refute_1_1094,plain,
( e23 != e23
| op2(e21,e23) != e23
| e23 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_1_1095,plain,
( e23 != e23
| e23 = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_1_973,refute_1_1094]) ).
cnf(refute_1_1096,plain,
( e23 != e23
| h3(op1(e11,e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e23)) )],[refute_1_1095,refute_1_1093]) ).
cnf(refute_1_1097,plain,
( e20 != e20
| e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e12)) != op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),op2(e21,e23)) )],[refute_1_1096,refute_1_1084]) ).
cnf(refute_1_1098,plain,
( e11 != e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_1003,refute_1_544]) ).
cnf(refute_1_1099,plain,
( e11 != e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_1098,refute_1_457]) ).
cnf(refute_1_1100,plain,
op1(e11,e12) = e12,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_547,refute_1_1099]) ).
cnf(refute_1_1101,plain,
h3(op1(e11,e12)) = h3(op1(e11,e12)),
introduced(tautology,[refl,[$fot(h3(op1(e11,e12)))]]) ).
cnf(refute_1_1102,plain,
( h3(op1(e11,e12)) != h3(op1(e11,e12))
| op1(e11,e12) != e12
| h3(op1(e11,e12)) = h3(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e12)),h3(op1(e11,e12))) ),[1,0],$fot(e12)]]) ).
cnf(refute_1_1103,plain,
( op1(e11,e12) != e12
| h3(op1(e11,e12)) = h3(e12) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),h3(op1(e11,e12))) )],[refute_1_1101,refute_1_1102]) ).
cnf(refute_1_1104,plain,
h3(op1(e11,e12)) = h3(e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_1_1100,refute_1_1103]) ).
cnf(refute_1_1105,plain,
( h3(e12) != e22
| h3(op1(e11,e12)) != h3(e12)
| h3(op1(e11,e12)) = e22 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h3(op1(e11,e12)))),bind(Y,$fot(h3(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_1_1106,plain,
( h3(e12) != e22
| h3(op1(e11,e12)) = e22 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),h3(e12)) )],[refute_1_1104,refute_1_1105]) ).
cnf(refute_1_1107,plain,
h3(op1(e11,e12)) = e22,
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_1_88,refute_1_1106]) ).
cnf(refute_1_1108,plain,
( e22 != op2(e21,e22)
| h3(op1(e11,e12)) != e22
| h3(op1(e11,e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e12)),e22) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_1_1109,plain,
( e22 != op2(e21,e22)
| h3(op1(e11,e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),e22) )],[refute_1_1107,refute_1_1108]) ).
cnf(refute_1_1110,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_1_133]) ).
cnf(refute_1_1111,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_1_1112,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_47,refute_1_1111]) ).
cnf(refute_1_1113,plain,
( e23 = e22
| op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_1_1110,refute_1_1112]) ).
cnf(refute_1_1114,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_1_1113,refute_1_837]) ).
cnf(refute_1_1115,plain,
( op2(e20,e22) != e20
| op2(e20,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_1_1116,plain,
( op2(e20,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_1_706,refute_1_1115]) ).
cnf(refute_1_1117,plain,
( e20 = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_1_1114,refute_1_1116]) ).
cnf(refute_1_1118,plain,
( op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_1117,refute_1_827]) ).
cnf(refute_1_1119,plain,
( op2(e23,e22) != e21
| op2(e23,e22) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e21)]]) ).
cnf(refute_1_1120,plain,
( op2(e23,e22) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_1_856,refute_1_1119]) ).
cnf(refute_1_1121,plain,
( e21 = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_1_1118,refute_1_1120]) ).
cnf(refute_1_1122,plain,
op2(e21,e22) = e22,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_1121,refute_1_842]) ).
cnf(refute_1_1123,plain,
( e22 != e22
| op2(e21,e22) != e22
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_1_1124,plain,
( e22 != e22
| e22 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_1_1122,refute_1_1123]) ).
cnf(refute_1_1125,plain,
( e22 != e22
| h3(op1(e11,e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_1_1124,refute_1_1109]) ).
cnf(refute_1_1126,plain,
( e20 != e20
| e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e11,e11)) != h2(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),op2(e21,e22)) )],[refute_1_1125,refute_1_1097]) ).
cnf(refute_1_1127,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(canonicalize,[],[normalize_1_134]) ).
cnf(refute_1_1128,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_1_1127,refute_1_453]) ).
cnf(refute_1_1129,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_1_135]) ).
cnf(refute_1_1130,plain,
( op1(e11,e13) != e10
| op1(e13,e13) != e10
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_1_1131,plain,
( op1(e11,e13) != e10
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_32,refute_1_1130]) ).
cnf(refute_1_1132,plain,
op1(e11,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_1_1131,refute_1_1129]) ).
cnf(refute_1_1133,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_1_1128,refute_1_1132]) ).
cnf(refute_1_1134,plain,
( e11 = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_1_1133,refute_1_1005]) ).
cnf(refute_1_1135,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_1_1134,refute_1_1008]) ).
cnf(refute_1_1136,plain,
h3(op1(e11,e11)) = h3(op1(e11,e11)),
introduced(tautology,[refl,[$fot(h3(op1(e11,e11)))]]) ).
cnf(refute_1_1137,plain,
( h3(op1(e11,e11)) != h3(op1(e11,e11))
| op1(e11,e11) != e10
| h3(op1(e11,e11)) = h3(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e11)),h3(op1(e11,e11))) ),[1,0],$fot(e10)]]) ).
cnf(refute_1_1138,plain,
( op1(e11,e11) != e10
| h3(op1(e11,e11)) = h3(e10) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),h3(op1(e11,e11))) )],[refute_1_1136,refute_1_1137]) ).
cnf(refute_1_1139,plain,
h3(op1(e11,e11)) = h3(e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_1_1135,refute_1_1138]) ).
cnf(refute_1_1140,plain,
( h3(e10) != e20
| h3(op1(e11,e11)) != h3(e10)
| h3(op1(e11,e11)) = e20 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h3(op1(e11,e11)))),bind(Y,$fot(h3(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_1_1141,plain,
( h3(e10) != e20
| h3(op1(e11,e11)) = e20 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),h3(e10)) )],[refute_1_1139,refute_1_1140]) ).
cnf(refute_1_1142,plain,
h3(op1(e11,e11)) = e20,
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_10,refute_1_1141]) ).
cnf(refute_1_1143,plain,
( e20 != h2(e13)
| h3(op1(e11,e11)) != e20
| h3(op1(e11,e11)) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e11)),e20) ),[1],$fot(h2(e13))]]) ).
cnf(refute_1_1144,plain,
( e20 != h2(e13)
| h3(op1(e11,e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),e20) )],[refute_1_1142,refute_1_1143]) ).
cnf(refute_1_1145,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(canonicalize,[],[normalize_1_136]) ).
cnf(refute_1_1146,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_1_1147,plain,
( op2(e21,e21) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_253,refute_1_1146]) ).
cnf(refute_1_1148,plain,
( h2(e13) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_1_1145,refute_1_1147]) ).
cnf(refute_1_1149,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_1_1150,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_253,refute_1_1149]) ).
cnf(refute_1_1151,plain,
( h2(e13) = e20
| h2(e13) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_1_1148,refute_1_1150]) ).
cnf(refute_1_1152,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_1_1153,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_253,refute_1_1152]) ).
cnf(refute_1_1154,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_1_1151,refute_1_1153]) ).
cnf(refute_1_1155,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_1_1156,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_253,refute_1_1155]) ).
cnf(refute_1_1157,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_1_1154,refute_1_1156]) ).
cnf(refute_1_1158,plain,
op2(e21,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_1_137]) ).
cnf(refute_1_1159,plain,
( h2(e13) != op2(e22,e21)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_1_1160,plain,
( h2(e13) != op2(e22,e21)
| op2(e21,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_253,refute_1_1159]) ).
cnf(refute_1_1161,plain,
h2(e13) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_1_1160,refute_1_1158]) ).
cnf(refute_1_1162,plain,
( h2(e13) != e21
| op2(e22,e21) != e21
| h2(e13) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_1_1163,plain,
( h2(e13) != e21
| h2(e13) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_1_1063,refute_1_1162]) ).
cnf(refute_1_1164,plain,
h2(e13) != e21,
inference(resolve,[$cnf( $equal(h2(e13),op2(e22,e21)) )],[refute_1_1163,refute_1_1161]) ).
cnf(refute_1_1165,plain,
( h2(e13) = e20
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_1_1157,refute_1_1164]) ).
cnf(refute_1_1166,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_1_138]) ).
cnf(refute_1_1167,plain,
( op2(e20,e21) != h2(e13)
| op2(e21,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_1_1168,plain,
( op2(e20,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_253,refute_1_1167]) ).
cnf(refute_1_1169,plain,
op2(e20,e21) != h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_1_1168,refute_1_1166]) ).
cnf(refute_1_1170,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(canonicalize,[],[normalize_1_139]) ).
cnf(refute_1_1171,plain,
( h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_1_1170,refute_1_673]) ).
cnf(refute_1_1172,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_1173,plain,
( op2(e20,e23) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_1_122,refute_1_1172]) ).
cnf(refute_1_1174,plain,
( h1(e13) = e22
| h3(e11) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_1171,refute_1_1173]) ).
cnf(refute_1_1175,plain,
( h3(e11) != e21
| h3(e11) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[0],$fot(e21)]]) ).
cnf(refute_1_1176,plain,
( h3(e11) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_1175]) ).
cnf(refute_1_1177,plain,
( e21 = e22
| h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_1_1174,refute_1_1176]) ).
cnf(refute_1_1178,plain,
( e20 = e22
| e21 = e22
| h1(e13) = e22
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_1_1177,refute_1_1116]) ).
cnf(refute_1_1179,plain,
( e21 = e22
| h1(e13) = e22
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_1178,refute_1_827]) ).
cnf(refute_1_1180,plain,
( h1(e13) = e22
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_1179,refute_1_842]) ).
cnf(refute_1_1181,plain,
( h1(e13) != e22
| h1(e13) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[0],$fot(e23)]]) ).
cnf(refute_1_1182,plain,
( h1(e13) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_1_760,refute_1_1181]) ).
cnf(refute_1_1183,plain,
( e23 = e22
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_1_1180,refute_1_1182]) ).
cnf(refute_1_1184,plain,
op2(e20,e21) = e22,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_1_1183,refute_1_837]) ).
cnf(refute_1_1185,plain,
( e22 != h2(e13)
| op2(e20,e21) != e22
| op2(e20,e21) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(h2(e13))]]) ).
cnf(refute_1_1186,plain,
( e22 != h2(e13)
| op2(e20,e21) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_1_1184,refute_1_1185]) ).
cnf(refute_1_1187,plain,
e22 != h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_1_1186,refute_1_1169]) ).
cnf(refute_1_1188,plain,
( h2(e13) != e22
| e22 = h2(e13) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(e22))]]) ).
cnf(refute_1_1189,plain,
h2(e13) != e22,
inference(resolve,[$cnf( $equal(e22,h2(e13)) )],[refute_1_1188,refute_1_1187]) ).
cnf(refute_1_1190,plain,
( h2(e13) = e20
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_1_1165,refute_1_1189]) ).
cnf(refute_1_1191,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_1_140]) ).
cnf(refute_1_1192,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_1_1193,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_253,refute_1_1192]) ).
cnf(refute_1_1194,plain,
h2(e13) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_1_1193,refute_1_1191]) ).
cnf(refute_1_1195,plain,
( h2(e13) != e23
| op2(e21,e23) != e23
| h2(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_1_1196,plain,
( h2(e13) != e23
| h2(e13) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_1_973,refute_1_1195]) ).
cnf(refute_1_1197,plain,
h2(e13) != e23,
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e23)) )],[refute_1_1196,refute_1_1194]) ).
cnf(refute_1_1198,plain,
h2(e13) = e20,
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_1_1190,refute_1_1197]) ).
cnf(refute_1_1199,plain,
( e20 != e20
| h2(e13) != e20
| e20 = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_1_1200,plain,
( e20 != e20
| e20 = h2(e13) ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_1_1198,refute_1_1199]) ).
cnf(refute_1_1201,plain,
( e20 != e20
| h3(op1(e11,e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(e20,h2(e13)) )],[refute_1_1200,refute_1_1144]) ).
cnf(refute_1_1202,plain,
( e20 != e20
| e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e10)) != op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),h2(e13)) )],[refute_1_1201,refute_1_1126]) ).
cnf(refute_1_1203,plain,
h3(op1(e11,e10)) = h3(op1(e11,e10)),
introduced(tautology,[refl,[$fot(h3(op1(e11,e10)))]]) ).
cnf(refute_1_1204,plain,
( h3(op1(e11,e10)) != h3(op1(e11,e10))
| op1(e11,e10) != e11
| h3(op1(e11,e10)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e10)),h3(op1(e11,e10))) ),[1,0],$fot(e11)]]) ).
cnf(refute_1_1205,plain,
( op1(e11,e10) != e11
| h3(op1(e11,e10)) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),h3(op1(e11,e10))) )],[refute_1_1203,refute_1_1204]) ).
cnf(refute_1_1206,plain,
h3(op1(e11,e10)) = h3(e11),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_1003,refute_1_1205]) ).
cnf(refute_1_1207,plain,
( h3(e11) != e21
| h3(op1(e11,e10)) != h3(e11)
| h3(op1(e11,e10)) = e21 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h3(op1(e11,e10)))),bind(Y,$fot(h3(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_1_1208,plain,
( h3(e11) != e21
| h3(op1(e11,e10)) = e21 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),h3(e11)) )],[refute_1_1206,refute_1_1207]) ).
cnf(refute_1_1209,plain,
h3(op1(e11,e10)) = e21,
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_130,refute_1_1208]) ).
cnf(refute_1_1210,plain,
( e21 != op2(e21,e20)
| h3(op1(e11,e10)) != e21
| h3(op1(e11,e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e10)),e21) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_1_1211,plain,
( e21 != op2(e21,e20)
| h3(op1(e11,e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),e21) )],[refute_1_1209,refute_1_1210]) ).
cnf(refute_1_1212,plain,
( e21 != e21
| op2(e21,e20) != e21
| e21 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e20)) ),[1],$fot(e21)]]) ).
cnf(refute_1_1213,plain,
( e21 != e21
| e21 = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_1_1059,refute_1_1212]) ).
cnf(refute_1_1214,plain,
( e21 != e21
| h3(op1(e11,e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_1_1213,refute_1_1211]) ).
cnf(refute_1_1215,plain,
( e20 != e20
| e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),op2(e21,e20)) )],[refute_1_1214,refute_1_1202]) ).
cnf(refute_1_1216,plain,
h3(op1(e10,e12)) = h3(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h3(op1(e10,e12)))]]) ).
cnf(refute_1_1217,plain,
( h3(op1(e10,e12)) != h3(op1(e10,e12))
| op1(e10,e12) != e10
| h3(op1(e10,e12)) = h3(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e12)),h3(op1(e10,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_1_1218,plain,
( op1(e10,e12) != e10
| h3(op1(e10,e12)) = h3(e10) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),h3(op1(e10,e12))) )],[refute_1_1216,refute_1_1217]) ).
cnf(refute_1_1219,plain,
h3(op1(e10,e12)) = h3(e10),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_1_448,refute_1_1218]) ).
cnf(refute_1_1220,plain,
( h3(e10) != e20
| h3(op1(e10,e12)) != h3(e10)
| h3(op1(e10,e12)) = e20 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h3(op1(e10,e12)))),bind(Y,$fot(h3(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_1_1221,plain,
( h3(e10) != e20
| h3(op1(e10,e12)) = e20 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),h3(e10)) )],[refute_1_1219,refute_1_1220]) ).
cnf(refute_1_1222,plain,
h3(op1(e10,e12)) = e20,
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_10,refute_1_1221]) ).
cnf(refute_1_1223,plain,
( e20 != op2(e20,e22)
| h3(op1(e10,e12)) != e20
| h3(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e12)),e20) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_1_1224,plain,
( e20 != op2(e20,e22)
| h3(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),e20) )],[refute_1_1222,refute_1_1223]) ).
cnf(refute_1_1225,plain,
( e20 != e20
| op2(e20,e22) != e20
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_1_1226,plain,
( e20 != e20
| e20 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_1_706,refute_1_1225]) ).
cnf(refute_1_1227,plain,
( e20 != e20
| h3(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_1_1226,refute_1_1224]) ).
cnf(refute_1_1228,plain,
( e20 != e20
| e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),op2(e20,e22)) )],[refute_1_1227,refute_1_1215]) ).
cnf(refute_1_1229,plain,
h3(op1(e10,e11)) = h3(op1(e10,e11)),
introduced(tautology,[refl,[$fot(h3(op1(e10,e11)))]]) ).
cnf(refute_1_1230,plain,
( h3(op1(e10,e11)) != h3(op1(e10,e11))
| op1(e10,e11) != e12
| h3(op1(e10,e11)) = h3(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e11)),h3(op1(e10,e11))) ),[1,0],$fot(e12)]]) ).
cnf(refute_1_1231,plain,
( op1(e10,e11) != e12
| h3(op1(e10,e11)) = h3(e12) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),h3(op1(e10,e11))) )],[refute_1_1229,refute_1_1230]) ).
cnf(refute_1_1232,plain,
h3(op1(e10,e11)) = h3(e12),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_1_802,refute_1_1231]) ).
cnf(refute_1_1233,plain,
( h3(e12) != e22
| h3(op1(e10,e11)) != h3(e12)
| h3(op1(e10,e11)) = e22 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h3(op1(e10,e11)))),bind(Y,$fot(h3(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_1_1234,plain,
( h3(e12) != e22
| h3(op1(e10,e11)) = e22 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),h3(e12)) )],[refute_1_1232,refute_1_1233]) ).
cnf(refute_1_1235,plain,
h3(op1(e10,e11)) = e22,
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_1_88,refute_1_1234]) ).
cnf(refute_1_1236,plain,
( e22 != op2(e20,e21)
| h3(op1(e10,e11)) != e22
| h3(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e11)),e22) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_1_1237,plain,
( e22 != op2(e20,e21)
| h3(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),e22) )],[refute_1_1235,refute_1_1236]) ).
cnf(refute_1_1238,plain,
( e22 != e22
| op2(e20,e21) != e22
| e22 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_1_1239,plain,
( e22 != e22
| e22 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_1_1184,refute_1_1238]) ).
cnf(refute_1_1240,plain,
( e22 != e22
| h3(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_1_1239,refute_1_1237]) ).
cnf(refute_1_1241,plain,
( e20 != e20
| e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),op2(e20,e21)) )],[refute_1_1240,refute_1_1228]) ).
cnf(refute_1_1242,plain,
h3(op1(e10,e10)) = h3(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h3(op1(e10,e10)))]]) ).
cnf(refute_1_1243,plain,
( h3(op1(e10,e10)) != h3(op1(e10,e10))
| op1(e10,e10) != e13
| h3(op1(e10,e10)) = h3(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e10)),h3(op1(e10,e10))) ),[1,0],$fot(e13)]]) ).
cnf(refute_1_1244,plain,
( op1(e10,e10) != e13
| h3(op1(e10,e10)) = h3(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),h3(op1(e10,e10))) )],[refute_1_1242,refute_1_1243]) ).
cnf(refute_1_1245,plain,
h3(op1(e10,e10)) = h3(e13),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_1_603,refute_1_1244]) ).
cnf(refute_1_1246,plain,
( h3(e13) != e23
| h3(op1(e10,e10)) != h3(e13)
| h3(op1(e10,e10)) = e23 ),
inference(subst,[],[refute_1_24:[bind(X,$fot(h3(op1(e10,e10)))),bind(Y,$fot(h3(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_1_1247,plain,
( h3(e13) != e23
| h3(op1(e10,e10)) = e23 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),h3(e13)) )],[refute_1_1245,refute_1_1246]) ).
cnf(refute_1_1248,plain,
h3(op1(e10,e10)) = e23,
inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_1_386,refute_1_1247]) ).
cnf(refute_1_1249,plain,
( e23 != h1(e13)
| h3(op1(e10,e10)) != e23
| h3(op1(e10,e10)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e10)),e23) ),[1],$fot(h1(e13))]]) ).
cnf(refute_1_1250,plain,
( e23 != h1(e13)
| h3(op1(e10,e10)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),e23) )],[refute_1_1248,refute_1_1249]) ).
cnf(refute_1_1251,plain,
( e23 != e23
| h1(e13) != e23
| e23 = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h1(e13)) ),[1],$fot(e23)]]) ).
cnf(refute_1_1252,plain,
( e23 != e23
| e23 = h1(e13) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_1_760,refute_1_1251]) ).
cnf(refute_1_1253,plain,
( e23 != e23
| h3(op1(e10,e10)) = h1(e13) ),
inference(resolve,[$cnf( $equal(e23,h1(e13)) )],[refute_1_1252,refute_1_1250]) ).
cnf(refute_1_1254,plain,
( e20 != e20
| e21 != e21
| e22 != e22
| e23 != e23 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),h1(e13)) )],[refute_1_1253,refute_1_1241]) ).
cnf(refute_1_1255,plain,
( e21 != e21
| e22 != e22
| e23 != e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_390,refute_1_1254]) ).
cnf(refute_1_1256,plain,
( e22 != e22
| e23 != e23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_392,refute_1_1255]) ).
cnf(refute_1_1257,plain,
e23 != e23,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_1049,refute_1_1256]) ).
cnf(refute_1_1258,plain,
$false,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_394,refute_1_1257]) ).
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(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_2_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_2_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_2_6,plain,
h3(e12) = 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,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_2_7]) ).
fof(normalize_2_9,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_2_10,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_2_9]) ).
fof(normalize_2_11,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_12,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_2_13,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_2_12]) ).
fof(normalize_2_14,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_2_9]) ).
fof(normalize_2_15,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_2_12]) ).
fof(normalize_2_16,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_17,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_2_16]) ).
fof(normalize_2_18,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_2_5]) ).
fof(normalize_2_19,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_20,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_21,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_2_12]) ).
fof(normalize_2_22,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_2_23,plain,
e21 != e23,
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_24,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(conjunct,[],[normalize_2_16]) ).
fof(normalize_2_25,plain,
( ( ( op2(e20,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) )
& ( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) )
& ( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_2_26,plain,
( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_2_25]) ).
fof(normalize_2_27,plain,
( ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e22,e23) != e22 )
& ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e23,e22) = e23 )
& ( op2(e22,e20) != e22
| op2(e22,e23) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e20) != e22
| op2(e21,e22) = e21
| op2(e23,e22) = e23 )
& ( op2(e22,e21) != e22
| op2(e22,e23) != e22
| op2(e20,e22) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e22) = e20
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e22
| op2(e20,e22) = e20
| op2(e21,e22) = e21 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ) ),
inference(clausify,[],[normalize_2_26]) ).
fof(normalize_2_28,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_2_27]) ).
fof(normalize_2_29,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_30,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
inference(conjunct,[],[normalize_2_16]) ).
fof(normalize_2_31,plain,
e20 != e23,
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_32,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_33,plain,
e20 != e21,
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_34,plain,
e20 != e22,
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_35,plain,
e21 != e22,
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_36,plain,
e22 != e23,
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_37,plain,
h4(op1(e10,e12)) != op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_2_7]) ).
fof(normalize_2_38,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_2_9]) ).
fof(normalize_2_39,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_40,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_2_39]) ).
fof(normalize_2_41,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_2_39]) ).
fof(normalize_2_42,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_43,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_2_42]) ).
fof(normalize_2_44,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_2_39]) ).
fof(normalize_2_45,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_2_46,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_2_45]) ).
fof(normalize_2_47,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_2_39]) ).
fof(normalize_2_48,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_2_45]) ).
fof(normalize_2_49,plain,
( ( ( op1(e10,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) )
& ( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) )
& ( ( op1(e13,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e12,e13) = e12 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_2_50,plain,
( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_2_49]) ).
fof(normalize_2_51,plain,
( ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e12,e13) != e12 )
& ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e13,e12) = e13 )
& ( op1(e12,e10) != e12
| op1(e12,e13) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e10) != e12
| op1(e11,e12) = e11
| op1(e13,e12) = e13 )
& ( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e10,e12) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e12) = e10
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e12
| op1(e10,e12) = e10
| op1(e11,e12) = e11 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ) ),
inference(clausify,[],[normalize_2_50]) ).
fof(normalize_2_52,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_2_51]) ).
fof(normalize_2_53,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_2_54,plain,
e10 != e12,
inference(conjunct,[],[normalize_2_53]) ).
fof(normalize_2_55,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_2_42]) ).
fof(normalize_2_56,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_2_39]) ).
fof(normalize_2_57,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_2_39]) ).
fof(normalize_2_58,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(conjunct,[],[normalize_2_45]) ).
fof(normalize_2_59,plain,
( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ),
inference(conjunct,[],[normalize_2_25]) ).
fof(normalize_2_60,plain,
( ( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e23,e22) != e23 )
& ( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e20) != e23
| op2(e23,e22) != e23
| op2(e21,e23) = e21 )
& ( op2(e23,e20) != e23
| op2(e21,e23) = e21
| op2(e22,e23) = e22 )
& ( op2(e23,e21) != e23
| op2(e23,e22) != e23
| op2(e20,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e23) = e20
| op2(e22,e23) = e22 )
& ( op2(e23,e22) != e23
| op2(e20,e23) = e20
| op2(e21,e23) = e21 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ) ),
inference(clausify,[],[normalize_2_59]) ).
fof(normalize_2_61,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(conjunct,[],[normalize_2_60]) ).
fof(normalize_2_62,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_63,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(conjunct,[],[normalize_2_16]) ).
fof(normalize_2_64,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_65,plain,
( ( op2(e20,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) ),
inference(conjunct,[],[normalize_2_25]) ).
fof(normalize_2_66,plain,
( ( op2(e20,e21) != e20
| op2(e20,e22) != e20
| op2(e20,e23) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e22) != e20
| op2(e23,e20) = e23 )
& ( op2(e20,e21) != e20
| op2(e20,e23) != e20
| op2(e22,e20) = e22 )
& ( op2(e20,e21) != e20
| op2(e22,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e20,e22) != e20
| op2(e20,e23) != e20
| op2(e21,e20) = e21 )
& ( op2(e20,e22) != e20
| op2(e21,e20) = e21
| op2(e23,e20) = e23 )
& ( op2(e20,e23) != e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22 )
& ( op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 ) ),
inference(clausify,[],[normalize_2_65]) ).
fof(normalize_2_67,plain,
( op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_2_66]) ).
fof(normalize_2_68,plain,
op2(e22,e20) != op2(e22,e23),
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_69,plain,
op2(e21,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_70,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_71,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(conjunct,[],[normalize_2_70]) ).
fof(normalize_2_72,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_73,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(conjunct,[],[normalize_2_9]) ).
fof(normalize_2_74,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(conjunct,[],[normalize_2_42]) ).
fof(normalize_2_75,plain,
op1(e10,e11) != op1(e10,e12),
inference(conjunct,[],[normalize_2_39]) ).
fof(normalize_2_76,plain,
op1(e10,e11) != op1(e10,e13),
inference(conjunct,[],[normalize_2_39]) ).
fof(normalize_2_77,plain,
op1(e10,e10) != op1(e10,e11),
inference(conjunct,[],[normalize_2_39]) ).
fof(normalize_2_78,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_79,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_2_78]) ).
fof(normalize_2_80,plain,
e11 != e13,
inference(conjunct,[],[normalize_2_53]) ).
cnf(refute_2_0,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_2_8]) ).
cnf(refute_2_1,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_2_10]) ).
cnf(refute_2_2,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_2_11]) ).
cnf(refute_2_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_2_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_2_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_2_3,refute_2_4]) ).
cnf(refute_2_6,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_2_7,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_2_2,refute_2_6]) ).
cnf(refute_2_8,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_2_13]) ).
cnf(refute_2_9,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_2_14]) ).
cnf(refute_2_10,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_2_11,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_2_9,refute_2_10]) ).
cnf(refute_2_12,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_2_15]) ).
cnf(refute_2_13,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_2_14,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_2_12,refute_2_13]) ).
cnf(refute_2_15,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_2_16,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_2_17,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_2_15,refute_2_16]) ).
cnf(refute_2_18,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_14,refute_2_17]) ).
cnf(refute_2_19,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_2_20,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_2_21,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_2_19,refute_2_20]) ).
cnf(refute_2_22,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_14,refute_2_21]) ).
cnf(refute_2_23,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_2_24,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_2_5,refute_2_23]) ).
cnf(refute_2_25,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_2_24:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_2_26,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_2_22,refute_2_25]) ).
cnf(refute_2_27,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_2_18,refute_2_26]) ).
cnf(refute_2_28,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_2_24:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_2_29,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_2_27,refute_2_28]) ).
cnf(refute_2_30,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_11,refute_2_29]) ).
cnf(refute_2_31,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_2_32,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_2_30,refute_2_31]) ).
cnf(refute_2_33,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_2_8,refute_2_32]) ).
cnf(refute_2_34,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_2_35,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_2_33,refute_2_34]) ).
cnf(refute_2_36,plain,
( h4(e13) != e20
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_2_24:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_2_37,plain,
( h4(e13) != e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_11,refute_2_36]) ).
cnf(refute_2_38,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_2_35,refute_2_37]) ).
cnf(refute_2_39,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_2_40,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_2_41,plain,
( op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_2_39,refute_2_40]) ).
cnf(refute_2_42,plain,
op2(e20,op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_38,refute_2_41]) ).
cnf(refute_2_43,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_2_44,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,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(e20)]]) ).
cnf(refute_2_45,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_2_43,refute_2_44]) ).
cnf(refute_2_46,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_38,refute_2_45]) ).
cnf(refute_2_47,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(subst,[],[refute_2_24:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_2_48,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_2_46,refute_2_47]) ).
cnf(refute_2_49,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_2_42,refute_2_48]) ).
cnf(refute_2_50,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(subst,[],[refute_2_24:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_2_51,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_2_49,refute_2_50]) ).
cnf(refute_2_52,plain,
op2(op2(e23,e23),op2(e23,e23)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_7,refute_2_51]) ).
cnf(refute_2_53,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_2_54,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h1(e13)) )],[refute_2_52,refute_2_53]) ).
cnf(refute_2_55,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_2_1,refute_2_54]) ).
cnf(refute_2_56,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_2_57,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(h1(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_2_58,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e11)) = op2(h1(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_2_56,refute_2_57]) ).
cnf(refute_2_59,plain,
op2(h4(e10),h4(e11)) = op2(h1(e13),h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_2_55,refute_2_58]) ).
cnf(refute_2_60,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(h1(e13),h4(e11))
| h4(op1(e10,e11)) = op2(h1(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h1(e13),h4(e11))) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_2_61,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(h1(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h1(e13),h4(e11))) )],[refute_2_59,refute_2_60]) ).
cnf(refute_2_62,plain,
h4(op1(e10,e11)) = op2(h1(e13),h4(e11)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_2_0,refute_2_61]) ).
cnf(refute_2_63,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_2_17]) ).
cnf(refute_2_64,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_2_65,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_7,refute_2_64]) ).
cnf(refute_2_66,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_2_63,refute_2_65]) ).
cnf(refute_2_67,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_2_18]) ).
cnf(refute_2_68,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_2_69,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_2_70,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_2_68,refute_2_69]) ).
cnf(refute_2_71,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_14,refute_2_70]) ).
cnf(refute_2_72,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = e20 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_2_73,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_2_8,refute_2_72]) ).
cnf(refute_2_74,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_2_75,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_76,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_2_74,refute_2_75]) ).
cnf(refute_2_77,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e20) )],[refute_2_73,refute_2_76]) ).
cnf(refute_2_78,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(subst,[],[refute_2_24:[bind(X,$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))),bind(Y,$fot(op2(e20,op2(e22,e22)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_2_79,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_2_77,refute_2_78]) ).
cnf(refute_2_80,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_2_71,refute_2_79]) ).
cnf(refute_2_81,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,e23)
| h3(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e20,e23)) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_2_82,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| h3(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,e23)) )],[refute_2_80,refute_2_81]) ).
cnf(refute_2_83,plain,
h3(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_2_67,refute_2_82]) ).
cnf(refute_2_84,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_2_85,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_2_83,refute_2_84]) ).
cnf(refute_2_86,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_2_87,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_2_85,refute_2_86]) ).
cnf(refute_2_88,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_2_66,refute_2_87]) ).
cnf(refute_2_89,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_2_20]) ).
cnf(refute_2_90,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_2_91,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_14,refute_2_90]) ).
cnf(refute_2_92,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_2_91,refute_2_89]) ).
cnf(refute_2_93,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_2_88,refute_2_92]) ).
cnf(refute_2_94,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_2_21]) ).
cnf(refute_2_95,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,op2(e22,e22))) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_2_96,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_2_77,refute_2_95]) ).
cnf(refute_2_97,plain,
e21 = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(e21,op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_2_94,refute_2_96]) ).
cnf(refute_2_98,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(subst,[],[refute_2_24:[bind(X,$fot(op2(e20,op2(e22,e22)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_2_99,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_2_71,refute_2_98]) ).
cnf(refute_2_100,plain,
op2(e20,op2(e22,e22)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_2_85,refute_2_99]) ).
cnf(refute_2_101,plain,
( e21 != op2(e20,op2(e22,e22))
| op2(e20,op2(e22,e22)) != h3(e11)
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[0],$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_2_102,plain,
( e21 != op2(e20,op2(e22,e22))
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),h3(e11)) )],[refute_2_100,refute_2_101]) ).
cnf(refute_2_103,plain,
e21 = h3(e11),
inference(resolve,[$cnf( $equal(e21,op2(e20,op2(e22,e22))) )],[refute_2_97,refute_2_102]) ).
cnf(refute_2_104,plain,
( e21 != h3(e11)
| h3(e11) = e21 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e21)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_2_105,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_2_103,refute_2_104]) ).
cnf(refute_2_106,plain,
( h3(e11) != e21
| h3(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_2_107,plain,
( h3(e11) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_2_105,refute_2_106]) ).
cnf(refute_2_108,plain,
( e21 = e23
| h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_2_93,refute_2_107]) ).
cnf(refute_2_109,plain,
e21 != e23,
inference(canonicalize,[],[normalize_2_23]) ).
cnf(refute_2_110,plain,
( h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_2_108,refute_2_109]) ).
cnf(refute_2_111,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(canonicalize,[],[normalize_2_24]) ).
cnf(refute_2_112,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_2_113,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_7,refute_2_112]) ).
cnf(refute_2_114,plain,
( h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_2_111,refute_2_113]) ).
cnf(refute_2_115,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_2_116,plain,
( op2(e20,e23) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_2_85,refute_2_115]) ).
cnf(refute_2_117,plain,
( h1(e13) = e22
| h3(e11) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_2_114,refute_2_116]) ).
cnf(refute_2_118,plain,
( h3(e11) != e21
| h3(e11) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[0],$fot(e21)]]) ).
cnf(refute_2_119,plain,
( h3(e11) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_2_105,refute_2_118]) ).
cnf(refute_2_120,plain,
( e21 = e22
| h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_2_117,refute_2_119]) ).
cnf(refute_2_121,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_2_28]) ).
cnf(refute_2_122,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_2_29]) ).
cnf(refute_2_123,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_2_124,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_14,refute_2_123]) ).
cnf(refute_2_125,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_2_124,refute_2_122]) ).
cnf(refute_2_126,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_2_127,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_2_126,refute_2_125]) ).
cnf(refute_2_128,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_2_121,refute_2_127]) ).
cnf(refute_2_129,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
inference(canonicalize,[],[normalize_2_30]) ).
cnf(refute_2_130,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).
cnf(refute_2_131,plain,
( op2(e22,e22) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_14,refute_2_130]) ).
cnf(refute_2_132,plain,
( e23 = e20
| op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_2_129,refute_2_131]) ).
cnf(refute_2_133,plain,
e20 != e23,
inference(canonicalize,[],[normalize_2_31]) ).
cnf(refute_2_134,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_2_135,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_2_134,refute_2_133]) ).
cnf(refute_2_136,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_2_132,refute_2_135]) ).
cnf(refute_2_137,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_2_32]) ).
cnf(refute_2_138,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_2_139,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_11,refute_2_138]) ).
cnf(refute_2_140,plain,
op2(e23,e22) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_2_139,refute_2_137]) ).
cnf(refute_2_141,plain,
( h4(e13) != e20
| op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_2_142,plain,
( op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_2_35,refute_2_141]) ).
cnf(refute_2_143,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),h4(e13)) )],[refute_2_142,refute_2_140]) ).
cnf(refute_2_144,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_2_136,refute_2_143]) ).
cnf(refute_2_145,plain,
( op2(e21,e22) != e20
| op2(e21,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0],$fot(e20)]]) ).
cnf(refute_2_146,plain,
( op2(e21,e22) != e21
| e20 = e21
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_2_144,refute_2_145]) ).
cnf(refute_2_147,plain,
( e20 = e21
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_128,refute_2_146]) ).
cnf(refute_2_148,plain,
e20 != e21,
inference(canonicalize,[],[normalize_2_33]) ).
cnf(refute_2_149,plain,
op2(e20,e22) = e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_2_147,refute_2_148]) ).
cnf(refute_2_150,plain,
( op2(e20,e22) != e20
| op2(e20,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_2_151,plain,
( op2(e20,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_2_149,refute_2_150]) ).
cnf(refute_2_152,plain,
( e20 = e22
| e21 = e22
| h1(e13) = e22
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_2_120,refute_2_151]) ).
cnf(refute_2_153,plain,
e20 != e22,
inference(canonicalize,[],[normalize_2_34]) ).
cnf(refute_2_154,plain,
( e21 = e22
| h1(e13) = e22
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_2_152,refute_2_153]) ).
cnf(refute_2_155,plain,
e21 != e22,
inference(canonicalize,[],[normalize_2_35]) ).
cnf(refute_2_156,plain,
( h1(e13) = e22
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_2_154,refute_2_155]) ).
cnf(refute_2_157,plain,
( op2(e20,e21) != e22
| op2(e20,e21) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e22)]]) ).
cnf(refute_2_158,plain,
( op2(e20,e21) != e23
| e22 = e23
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_2_156,refute_2_157]) ).
cnf(refute_2_159,plain,
( e22 = e23
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_2_110,refute_2_158]) ).
cnf(refute_2_160,plain,
e22 != e23,
inference(canonicalize,[],[normalize_2_36]) ).
cnf(refute_2_161,plain,
( h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_2_159,refute_2_160]) ).
cnf(refute_2_162,plain,
( h1(e13) != e23
| h4(op1(e10,e11)) != op2(h1(e13),h4(e11))
| h4(op1(e10,e11)) = op2(e23,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h1(e13),h4(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_2_163,plain,
( h4(op1(e10,e11)) != op2(h1(e13),h4(e11))
| h1(e13) = e22
| h4(op1(e10,e11)) = op2(e23,h4(e11)) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_2_161,refute_2_162]) ).
cnf(refute_2_164,plain,
( h1(e13) = e22
| h4(op1(e10,e11)) = op2(e23,h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h1(e13),h4(e11))) )],[refute_2_62,refute_2_163]) ).
cnf(refute_2_165,plain,
h4(op1(e10,e12)) != op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_2_37]) ).
cnf(refute_2_166,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_2_38]) ).
cnf(refute_2_167,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e12)))]]) ).
cnf(refute_2_168,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_2_169,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_2_167,refute_2_168]) ).
cnf(refute_2_170,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_2_166,refute_2_169]) ).
cnf(refute_2_171,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_2_172,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_2_173,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_2_171,refute_2_172]) ).
cnf(refute_2_174,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_2_55,refute_2_173]) ).
cnf(refute_2_175,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(subst,[],[refute_2_24:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),h4(e12)))),bind(Z,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_2_176,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_2_174,refute_2_175]) ).
cnf(refute_2_177,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),e23)) )],[refute_2_170,refute_2_176]) ).
cnf(refute_2_178,plain,
( h4(op1(e10,e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),e23)
| h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) ),[1],$fot(op2(h1(e13),e23))]]) ).
cnf(refute_2_179,plain,
( h4(op1(e10,e12)) != op2(h1(e13),e23)
| h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),e23)) )],[refute_2_177,refute_2_178]) ).
cnf(refute_2_180,plain,
h4(op1(e10,e12)) != op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_2_179,refute_2_165]) ).
cnf(refute_2_181,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_2_40]) ).
cnf(refute_2_182,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_2_41]) ).
cnf(refute_2_183,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_2_43]) ).
cnf(refute_2_184,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_2_44]) ).
cnf(refute_2_185,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_2_46]) ).
cnf(refute_2_186,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_2_187,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_2_185,refute_2_186]) ).
cnf(refute_2_188,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_2_189,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_187,refute_2_188]) ).
cnf(refute_2_190,plain,
e13 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_2_189,refute_2_184]) ).
cnf(refute_2_191,plain,
( op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).
cnf(refute_2_192,plain,
op1(e13,e12) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_2_191,refute_2_190]) ).
cnf(refute_2_193,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_2_183,refute_2_192]) ).
cnf(refute_2_194,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_47]) ).
cnf(refute_2_195,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_2_48]) ).
cnf(refute_2_196,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_2_197,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_2_198,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_2_196,refute_2_197]) ).
cnf(refute_2_199,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_187,refute_2_198]) ).
cnf(refute_2_200,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_2_201,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_2_202,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_2_200,refute_2_201]) ).
cnf(refute_2_203,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_187,refute_2_202]) ).
cnf(refute_2_204,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_2_24:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_2_205,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_2_203,refute_2_204]) ).
cnf(refute_2_206,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_2_199,refute_2_205]) ).
cnf(refute_2_207,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_2_208,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_2_206,refute_2_207]) ).
cnf(refute_2_209,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_2_195,refute_2_208]) ).
cnf(refute_2_210,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_2_211,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_2_209,refute_2_210]) ).
cnf(refute_2_212,plain,
( op1(e13,e12) != e10
| op1(e13,e13) != e10
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_2_213,plain,
( op1(e13,e12) != e10
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_211,refute_2_212]) ).
cnf(refute_2_214,plain,
op1(e13,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_2_213,refute_2_194]) ).
cnf(refute_2_215,plain,
( op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_2_193,refute_2_214]) ).
cnf(refute_2_216,plain,
( op1(e11,e12) != e11
| op1(e13,e12) != e11
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_2_217,plain,
( op1(e11,e12) != e11
| op1(e11,e12) = op1(e13,e12)
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_2_215,refute_2_216]) ).
cnf(refute_2_218,plain,
( op1(e11,e12) != e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_2_217,refute_2_182]) ).
cnf(refute_2_219,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_2_52]) ).
cnf(refute_2_220,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_2_219,refute_2_192]) ).
cnf(refute_2_221,plain,
( e11 != e11
| op1(e11,e12) != e11
| op1(e11,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_2_222,plain,
( e11 != e11
| op1(e10,e12) = e10
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_2_220,refute_2_221]) ).
cnf(refute_2_223,plain,
( e11 != e11
| op1(e10,e12) = e10
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_2_222,refute_2_218]) ).
cnf(refute_2_224,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_2_225,plain,
( op1(e10,e12) = e10
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_224,refute_2_223]) ).
cnf(refute_2_226,plain,
( op1(e10,e12) != e12
| op1(e13,e12) != e12
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_2_227,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_2_225,refute_2_226]) ).
cnf(refute_2_228,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_2_227,refute_2_181]) ).
cnf(refute_2_229,plain,
( op1(e10,e12) != e10
| op1(e10,e12) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[0],$fot(e12)]]) ).
cnf(refute_2_230,plain,
( op1(e10,e12) != e12
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_2_228,refute_2_229]) ).
cnf(refute_2_231,plain,
e10 != e12,
inference(canonicalize,[],[normalize_2_54]) ).
cnf(refute_2_232,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_2_233,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_2_232,refute_2_231]) ).
cnf(refute_2_234,plain,
op1(e10,e12) != e12,
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_2_230,refute_2_233]) ).
cnf(refute_2_235,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_2_55]) ).
cnf(refute_2_236,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_2_56]) ).
cnf(refute_2_237,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_2_238,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_187,refute_2_237]) ).
cnf(refute_2_239,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_2_238,refute_2_236]) ).
cnf(refute_2_240,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_2_235,refute_2_239]) ).
cnf(refute_2_241,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_2_57]) ).
cnf(refute_2_242,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(canonicalize,[],[normalize_2_58]) ).
cnf(refute_2_243,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = e10 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e12,e12),op1(e12,e12))))]]) ).
cnf(refute_2_244,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_2_195,refute_2_243]) ).
cnf(refute_2_245,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_2_246,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_2_247,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_2_245,refute_2_246]) ).
cnf(refute_2_248,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e10) )],[refute_2_244,refute_2_247]) ).
cnf(refute_2_249,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(e10,op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,op1(e12,e12))) ),[0],$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_2_250,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_2_248,refute_2_249]) ).
cnf(refute_2_251,plain,
e11 = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(e11,op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_2_242,refute_2_250]) ).
cnf(refute_2_252,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_2_253,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_2_254,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_2_252,refute_2_253]) ).
cnf(refute_2_255,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_187,refute_2_254]) ).
cnf(refute_2_256,plain,
( e11 != op1(e10,op1(e12,e12))
| op1(e10,op1(e12,e12)) != op1(e10,e13)
| e11 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e13)) ),[0],$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_2_257,plain,
( e11 != op1(e10,op1(e12,e12))
| e11 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_2_255,refute_2_256]) ).
cnf(refute_2_258,plain,
e11 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e11,op1(e10,op1(e12,e12))) )],[refute_2_251,refute_2_257]) ).
cnf(refute_2_259,plain,
( e11 != op1(e10,e13)
| op1(e10,e13) = e11 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_2_260,plain,
op1(e10,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_2_258,refute_2_259]) ).
cnf(refute_2_261,plain,
( op1(e10,e12) != e11
| op1(e10,e13) != e11
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_262,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_2_260,refute_2_261]) ).
cnf(refute_2_263,plain,
op1(e10,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_2_262,refute_2_241]) ).
cnf(refute_2_264,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_240,refute_2_263]) ).
cnf(refute_2_265,plain,
( e12 != e12
| op1(e10,e12) != e12
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_2_266,plain,
( e12 != e12
| op1(e10,e12) = e10
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_264,refute_2_265]) ).
cnf(refute_2_267,plain,
( e12 != e12
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_266,refute_2_234]) ).
cnf(refute_2_268,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_2_269,plain,
op1(e10,e12) = e10,
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_268,refute_2_267]) ).
cnf(refute_2_270,plain,
h4(op1(e10,e12)) = h4(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_2_271,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| op1(e10,e12) != e10
| h4(op1(e10,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_2_272,plain,
( op1(e10,e12) != e10
| h4(op1(e10,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_2_270,refute_2_271]) ).
cnf(refute_2_273,plain,
h4(op1(e10,e12)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_2_269,refute_2_272]) ).
cnf(refute_2_274,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) != h4(e10)
| h4(op1(e10,e12)) = h1(e13) ),
inference(subst,[],[refute_2_24:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_2_275,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e10)) )],[refute_2_273,refute_2_274]) ).
cnf(refute_2_276,plain,
h4(op1(e10,e12)) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_2_55,refute_2_275]) ).
cnf(refute_2_277,plain,
( h1(e13) != op2(h1(e13),e23)
| h4(op1(e10,e12)) != h1(e13)
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h1(e13)) ),[1],$fot(op2(h1(e13),e23))]]) ).
cnf(refute_2_278,plain,
( h1(e13) != op2(h1(e13),e23)
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h1(e13)) )],[refute_2_276,refute_2_277]) ).
cnf(refute_2_279,plain,
h1(e13) != op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) )],[refute_2_278,refute_2_180]) ).
cnf(refute_2_280,plain,
( h1(e13) != e22
| h1(e13) != op2(e22,e23)
| h1(e13) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(h1(e13),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_2_281,plain,
( h1(e13) != op2(e22,e23)
| h1(e13) = e23
| h1(e13) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_2_161,refute_2_280]) ).
cnf(refute_2_282,plain,
( h1(e13) != op2(e22,e23)
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) )],[refute_2_281,refute_2_279]) ).
cnf(refute_2_283,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(canonicalize,[],[normalize_2_61]) ).
cnf(refute_2_284,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_2_285,plain,
( op2(e20,e23) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_2_85,refute_2_284]) ).
cnf(refute_2_286,plain,
( h3(e11) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_2_283,refute_2_285]) ).
cnf(refute_2_287,plain,
( h3(e11) != e20
| h3(e11) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e20) ),[0],$fot(e21)]]) ).
cnf(refute_2_288,plain,
( h3(e11) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_2_105,refute_2_287]) ).
cnf(refute_2_289,plain,
( e21 = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_2_286,refute_2_288]) ).
cnf(refute_2_290,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_2_291,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_2_290,refute_2_148]) ).
cnf(refute_2_292,plain,
( op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_2_289,refute_2_291]) ).
cnf(refute_2_293,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_2_62]) ).
cnf(refute_2_294,plain,
( h3(e11) != op2(e21,e23)
| op2(e20,e23) != h3(e11)
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h3(e11)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_2_295,plain,
( h3(e11) != op2(e21,e23)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_2_85,refute_2_294]) ).
cnf(refute_2_296,plain,
h3(e11) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_2_295,refute_2_293]) ).
cnf(refute_2_297,plain,
( e21 != op2(e21,e23)
| h3(e11) != e21
| h3(e11) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_2_298,plain,
( e21 != op2(e21,e23)
| h3(e11) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_2_105,refute_2_297]) ).
cnf(refute_2_299,plain,
e21 != op2(e21,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e21,e23)) )],[refute_2_298,refute_2_296]) ).
cnf(refute_2_300,plain,
( op2(e21,e23) != e21
| e21 = op2(e21,e23) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e21))]]) ).
cnf(refute_2_301,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e21,e23)) )],[refute_2_300,refute_2_299]) ).
cnf(refute_2_302,plain,
op2(e22,e23) = e22,
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_2_292,refute_2_301]) ).
cnf(refute_2_303,plain,
( h1(e13) != e22
| op2(e22,e23) != e22
| h1(e13) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_2_304,plain,
( h1(e13) != e22
| h1(e13) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_2_302,refute_2_303]) ).
cnf(refute_2_305,plain,
( h1(e13) != e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e22,e23)) )],[refute_2_304,refute_2_282]) ).
cnf(refute_2_306,plain,
( h1(e13) != e22
| h1(e13) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[0],$fot(e22)]]) ).
cnf(refute_2_307,plain,
( h1(e13) != e22
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_2_305,refute_2_306]) ).
cnf(refute_2_308,plain,
h1(e13) != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_2_307,refute_2_160]) ).
cnf(refute_2_309,plain,
h1(e13) = e23,
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_2_161,refute_2_308]) ).
cnf(refute_2_310,plain,
( h1(e13) != e22
| h1(e13) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[0],$fot(e23)]]) ).
cnf(refute_2_311,plain,
( h1(e13) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_2_309,refute_2_310]) ).
cnf(refute_2_312,plain,
( e23 = e22
| h4(op1(e10,e11)) = op2(e23,h4(e11)) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_2_164,refute_2_311]) ).
cnf(refute_2_313,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_2_314,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_2_313,refute_2_160]) ).
cnf(refute_2_315,plain,
h4(op1(e10,e11)) = op2(e23,h4(e11)),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_312,refute_2_314]) ).
cnf(refute_2_316,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(canonicalize,[],[normalize_2_63]) ).
cnf(refute_2_317,plain,
( h1(e13) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_2_316,refute_2_113]) ).
cnf(refute_2_318,plain,
( e23 = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_2_317,refute_2_311]) ).
cnf(refute_2_319,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_2_64]) ).
cnf(refute_2_320,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_2_321,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_7,refute_2_320]) ).
cnf(refute_2_322,plain,
h1(e13) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_2_321,refute_2_319]) ).
cnf(refute_2_323,plain,
( op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_2_67]) ).
cnf(refute_2_324,plain,
op2(e22,e20) != op2(e22,e23),
inference(canonicalize,[],[normalize_2_68]) ).
cnf(refute_2_325,plain,
( op2(e22,e20) != e22
| op2(e22,e23) != e22
| op2(e22,e20) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_2_326,plain,
( op2(e22,e20) != e22
| op2(e22,e20) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_2_302,refute_2_325]) ).
cnf(refute_2_327,plain,
op2(e22,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e23)) )],[refute_2_326,refute_2_324]) ).
cnf(refute_2_328,plain,
( op2(e21,e20) = e21
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_2_323,refute_2_327]) ).
cnf(refute_2_329,plain,
( h1(e13) != e23
| op2(e23,e20) != e23
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_2_330,plain,
( h1(e13) != e23
| h1(e13) = op2(e23,e20)
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_2_328,refute_2_329]) ).
cnf(refute_2_331,plain,
( h1(e13) != e23
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_2_330,refute_2_322]) ).
cnf(refute_2_332,plain,
( e23 != e23
| h1(e13) != e23
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_2_333,plain,
( e23 != e23
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_2_161,refute_2_332]) ).
cnf(refute_2_334,plain,
( e23 != e23
| h1(e13) = e22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_2_333,refute_2_331]) ).
cnf(refute_2_335,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_2_336,plain,
( h1(e13) = e22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_2_335,refute_2_334]) ).
cnf(refute_2_337,plain,
( e23 = e22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_2_336,refute_2_311]) ).
cnf(refute_2_338,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_337,refute_2_314]) ).
cnf(refute_2_339,plain,
( op2(e21,e20) != e21
| op2(e21,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e22) ),[0],$fot(e21)]]) ).
cnf(refute_2_340,plain,
( op2(e21,e20) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_2_338,refute_2_339]) ).
cnf(refute_2_341,plain,
( e21 = e22
| e23 = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_2_318,refute_2_340]) ).
cnf(refute_2_342,plain,
op2(e21,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_2_69]) ).
cnf(refute_2_343,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(canonicalize,[],[normalize_2_71]) ).
cnf(refute_2_344,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_2_72]) ).
cnf(refute_2_345,plain,
( op2(e22,e20) != e23
| op2(e22,e22) != e23
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_2_346,plain,
( op2(e22,e20) != e23
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_14,refute_2_345]) ).
cnf(refute_2_347,plain,
op2(e22,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_2_346,refute_2_344]) ).
cnf(refute_2_348,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_2_343,refute_2_347]) ).
cnf(refute_2_349,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_2_348,refute_2_327]) ).
cnf(refute_2_350,plain,
( op2(e21,e20) != e21
| op2(e22,e20) != e21
| op2(e21,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e22,e20)) ),[1],$fot(e21)]]) ).
cnf(refute_2_351,plain,
( op2(e21,e20) != e21
| op2(e21,e20) = op2(e22,e20)
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_2_349,refute_2_350]) ).
cnf(refute_2_352,plain,
( op2(e21,e20) != e21
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e22,e20)) )],[refute_2_351,refute_2_342]) ).
cnf(refute_2_353,plain,
( e21 != e21
| op2(e21,e20) != e21
| op2(e21,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_2_354,plain,
( e21 != e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_2_338,refute_2_353]) ).
cnf(refute_2_355,plain,
( e21 != e21
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_2_354,refute_2_352]) ).
cnf(refute_2_356,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_2_357,plain,
op2(e22,e20) = e20,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_356,refute_2_355]) ).
cnf(refute_2_358,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e20)]]) ).
cnf(refute_2_359,plain,
( op2(e22,e20) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_2_357,refute_2_358]) ).
cnf(refute_2_360,plain,
( e20 = e22
| e21 = e22
| e23 = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_2_341,refute_2_359]) ).
cnf(refute_2_361,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(canonicalize,[],[normalize_2_73]) ).
cnf(refute_2_362,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = h4(e10) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_2_363,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_2_1,refute_2_362]) ).
cnf(refute_2_364,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)))]]) ).
cnf(refute_2_365,plain,
( op2(op2(e23,e23),op2(e23,e23)) != h4(e10)
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(h4(e10))]]) ).
cnf(refute_2_366,plain,
( op2(op2(e23,e23),op2(e23,e23)) != h4(e10)
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) )],[refute_2_364,refute_2_365]) ).
cnf(refute_2_367,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h4(e10)) )],[refute_2_363,refute_2_366]) ).
cnf(refute_2_368,plain,
( h4(e11) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) != op2(h4(e10),op2(e23,e23))
| h4(e11) = op2(h4(e10),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h4(e10),op2(e23,e23))) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)))]]) ).
cnf(refute_2_369,plain,
( h4(e11) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| h4(e11) = op2(h4(e10),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) )],[refute_2_367,refute_2_368]) ).
cnf(refute_2_370,plain,
h4(e11) = op2(h4(e10),op2(e23,e23)),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) )],[refute_2_361,refute_2_369]) ).
cnf(refute_2_371,plain,
op2(h1(e13),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e23,e23)))]]) ).
cnf(refute_2_372,plain,
( op2(e23,e23) != e20
| op2(h1(e13),op2(e23,e23)) != op2(h1(e13),op2(e23,e23))
| op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_2_373,plain,
( op2(e23,e23) != e20
| op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) )],[refute_2_371,refute_2_372]) ).
cnf(refute_2_374,plain,
op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_38,refute_2_373]) ).
cnf(refute_2_375,plain,
op2(h4(e10),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(h4(e10),op2(e23,e23)))]]) ).
cnf(refute_2_376,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),op2(e23,e23)) != op2(h4(e10),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_2_377,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) )],[refute_2_375,refute_2_376]) ).
cnf(refute_2_378,plain,
op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_2_55,refute_2_377]) ).
cnf(refute_2_379,plain,
( op2(h1(e13),op2(e23,e23)) != op2(h1(e13),e20)
| op2(h4(e10),op2(e23,e23)) != op2(h1(e13),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(subst,[],[refute_2_24:[bind(X,$fot(op2(h4(e10),op2(e23,e23)))),bind(Y,$fot(op2(h1(e13),op2(e23,e23)))),bind(Z,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_2_380,plain,
( op2(h1(e13),op2(e23,e23)) != op2(h1(e13),e20)
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) )],[refute_2_378,refute_2_379]) ).
cnf(refute_2_381,plain,
op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),e20)) )],[refute_2_374,refute_2_380]) ).
cnf(refute_2_382,plain,
( h4(e11) != op2(h4(e10),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) != op2(h1(e13),e20)
| h4(e11) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h1(e13),e20)) ),[0],$fot(op2(h4(e10),op2(e23,e23)))]]) ).
cnf(refute_2_383,plain,
( h4(e11) != op2(h4(e10),op2(e23,e23))
| h4(e11) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h1(e13),e20)) )],[refute_2_381,refute_2_382]) ).
cnf(refute_2_384,plain,
h4(e11) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e10),op2(e23,e23))) )],[refute_2_370,refute_2_383]) ).
cnf(refute_2_385,plain,
( h1(e13) != e23
| h4(e11) != op2(h1(e13),e20)
| h4(e11) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(h1(e13),e20)) ),[1,0],$fot(e23)]]) ).
cnf(refute_2_386,plain,
( h4(e11) != op2(h1(e13),e20)
| h1(e13) = e22
| h4(e11) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_2_161,refute_2_385]) ).
cnf(refute_2_387,plain,
( h1(e13) = e22
| h4(e11) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h1(e13),e20)) )],[refute_2_384,refute_2_386]) ).
cnf(refute_2_388,plain,
( e23 = e22
| h4(e11) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_2_387,refute_2_311]) ).
cnf(refute_2_389,plain,
h4(e11) = op2(e23,e20),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_388,refute_2_314]) ).
cnf(refute_2_390,plain,
( h4(e11) != op2(e23,e20)
| op2(e23,e20) = h4(e11) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_2_391,plain,
op2(e23,e20) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e20)) )],[refute_2_389,refute_2_390]) ).
cnf(refute_2_392,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != h4(e11)
| h4(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[0],$fot(h4(e11))]]) ).
cnf(refute_2_393,plain,
( op2(e23,e20) != e22
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h4(e11)) )],[refute_2_391,refute_2_392]) ).
cnf(refute_2_394,plain,
( e20 = e22
| e21 = e22
| e23 = e22
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_2_360,refute_2_393]) ).
cnf(refute_2_395,plain,
( e21 = e22
| e23 = e22
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_2_394,refute_2_153]) ).
cnf(refute_2_396,plain,
( e23 = e22
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_2_395,refute_2_155]) ).
cnf(refute_2_397,plain,
h4(e11) = e22,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_396,refute_2_314]) ).
cnf(refute_2_398,plain,
op2(e23,h4(e11)) = op2(e23,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e11)))]]) ).
cnf(refute_2_399,plain,
( h4(e11) != e22
| op2(e23,h4(e11)) != op2(e23,h4(e11))
| op2(e23,h4(e11)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_2_400,plain,
( h4(e11) != e22
| op2(e23,h4(e11)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) )],[refute_2_398,refute_2_399]) ).
cnf(refute_2_401,plain,
op2(e23,h4(e11)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(h4(e11),e22) )],[refute_2_397,refute_2_400]) ).
cnf(refute_2_402,plain,
( h4(op1(e10,e11)) != op2(e23,h4(e11))
| op2(e23,h4(e11)) != op2(e23,e22)
| h4(op1(e10,e11)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e23,e22)) ),[0],$fot(op2(e23,h4(e11)))]]) ).
cnf(refute_2_403,plain,
( h4(op1(e10,e11)) != op2(e23,h4(e11))
| h4(op1(e10,e11)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,e22)) )],[refute_2_401,refute_2_402]) ).
cnf(refute_2_404,plain,
h4(op1(e10,e11)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,h4(e11))) )],[refute_2_315,refute_2_403]) ).
cnf(refute_2_405,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(canonicalize,[],[normalize_2_74]) ).
cnf(refute_2_406,plain,
op1(e10,e11) != op1(e10,e12),
inference(canonicalize,[],[normalize_2_75]) ).
cnf(refute_2_407,plain,
( op1(e10,e11) != e10
| op1(e10,e12) != e10
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_2_408,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_2_269,refute_2_407]) ).
cnf(refute_2_409,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_2_408,refute_2_406]) ).
cnf(refute_2_410,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_2_405,refute_2_409]) ).
cnf(refute_2_411,plain,
op1(e10,e11) != op1(e10,e13),
inference(canonicalize,[],[normalize_2_76]) ).
cnf(refute_2_412,plain,
( op1(e10,e11) != e11
| op1(e10,e13) != e11
| op1(e10,e11) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_413,plain,
( op1(e10,e11) != e11
| op1(e10,e11) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_2_260,refute_2_412]) ).
cnf(refute_2_414,plain,
op1(e10,e11) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e13)) )],[refute_2_413,refute_2_411]) ).
cnf(refute_2_415,plain,
( op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_410,refute_2_414]) ).
cnf(refute_2_416,plain,
op1(e10,e10) != op1(e10,e11),
inference(canonicalize,[],[normalize_2_77]) ).
cnf(refute_2_417,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_2_79]) ).
cnf(refute_2_418,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_2_417,refute_2_239]) ).
cnf(refute_2_419,plain,
( op1(e10,e13) != e11
| op1(e10,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_2_420,plain,
( op1(e10,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_2_260,refute_2_419]) ).
cnf(refute_2_421,plain,
( e11 = e13
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_2_418,refute_2_420]) ).
cnf(refute_2_422,plain,
e11 != e13,
inference(canonicalize,[],[normalize_2_80]) ).
cnf(refute_2_423,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_2_421,refute_2_422]) ).
cnf(refute_2_424,plain,
( h4(op1(e10,e11)) != op2(h1(e13),h4(e11))
| op1(e10,e11) != e13
| h4(e13) = op2(h1(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h1(e13),h4(e11))) ),[0,0],$fot(e13)]]) ).
cnf(refute_2_425,plain,
( h4(op1(e10,e11)) != op2(h1(e13),h4(e11))
| h4(e13) = op2(h1(e13),h4(e11))
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_2_423,refute_2_424]) ).
cnf(refute_2_426,plain,
( h4(e13) = op2(h1(e13),h4(e11))
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h1(e13),h4(e11))) )],[refute_2_62,refute_2_425]) ).
cnf(refute_2_427,plain,
( h4(e13) != e20
| h4(e13) != op2(h1(e13),h4(e11))
| e20 = op2(h1(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(h1(e13),h4(e11))) ),[0],$fot(e20)]]) ).
cnf(refute_2_428,plain,
( h4(e13) != op2(h1(e13),h4(e11))
| e20 = op2(h1(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_2_35,refute_2_427]) ).
cnf(refute_2_429,plain,
( h4(op1(e10,e11)) != op2(h1(e13),h4(e11))
| op2(h1(e13),h4(e11)) = h4(op1(e10,e11)) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(op2(h1(e13),h4(e11))))]]) ).
cnf(refute_2_430,plain,
op2(h1(e13),h4(e11)) = h4(op1(e10,e11)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h1(e13),h4(e11))) )],[refute_2_62,refute_2_429]) ).
cnf(refute_2_431,plain,
( e20 != op2(h1(e13),h4(e11))
| op2(h1(e13),h4(e11)) != h4(op1(e10,e11))
| e20 = h4(op1(e10,e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(op1(e10,e11))) ),[0],$fot(op2(h1(e13),h4(e11)))]]) ).
cnf(refute_2_432,plain,
( e20 != op2(h1(e13),h4(e11))
| e20 = h4(op1(e10,e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e11)),h4(op1(e10,e11))) )],[refute_2_430,refute_2_431]) ).
cnf(refute_2_433,plain,
( h4(e13) != op2(h1(e13),h4(e11))
| e20 = h4(op1(e10,e11)) ),
inference(resolve,[$cnf( $equal(e20,op2(h1(e13),h4(e11))) )],[refute_2_428,refute_2_432]) ).
cnf(refute_2_434,plain,
( e20 = h4(op1(e10,e11))
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(h1(e13),h4(e11))) )],[refute_2_426,refute_2_433]) ).
cnf(refute_2_435,plain,
( e20 != h4(op1(e10,e11))
| h4(op1(e10,e11)) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(h4(op1(e10,e11)))]]) ).
cnf(refute_2_436,plain,
( e20 != h4(op1(e10,e11))
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e22)) )],[refute_2_404,refute_2_435]) ).
cnf(refute_2_437,plain,
( e20 = op2(e23,e22)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e20,h4(op1(e10,e11))) )],[refute_2_434,refute_2_436]) ).
cnf(refute_2_438,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_2_439,plain,
e20 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_2_438,refute_2_143]) ).
cnf(refute_2_440,plain,
op1(e10,e10) = e13,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_2_437,refute_2_439]) ).
cnf(refute_2_441,plain,
( e13 != op1(e10,e11)
| op1(e10,e10) != e13
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(op1(e10,e11))]]) ).
cnf(refute_2_442,plain,
( e13 != op1(e10,e11)
| op1(e10,e10) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_2_440,refute_2_441]) ).
cnf(refute_2_443,plain,
e13 != op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_2_442,refute_2_416]) ).
cnf(refute_2_444,plain,
( op1(e10,e11) != e13
| e13 = op1(e10,e11) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(e13))]]) ).
cnf(refute_2_445,plain,
op1(e10,e11) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e10,e11)) )],[refute_2_444,refute_2_443]) ).
cnf(refute_2_446,plain,
op1(e10,e11) = e12,
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_2_415,refute_2_445]) ).
cnf(refute_2_447,plain,
h4(op1(e10,e11)) = h4(op1(e10,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e11)))]]) ).
cnf(refute_2_448,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e11))
| op1(e10,e11) != e12
| h4(op1(e10,e11)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) ),[1,0],$fot(e12)]]) ).
cnf(refute_2_449,plain,
( op1(e10,e11) != e12
| h4(op1(e10,e11)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) )],[refute_2_447,refute_2_448]) ).
cnf(refute_2_450,plain,
h4(op1(e10,e11)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_2_446,refute_2_449]) ).
cnf(refute_2_451,plain,
( h4(e12) != e23
| h4(op1(e10,e11)) != h4(e12)
| h4(op1(e10,e11)) = e23 ),
inference(subst,[],[refute_2_24:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).
cnf(refute_2_452,plain,
( h4(e12) != e23
| h4(op1(e10,e11)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(e12)) )],[refute_2_450,refute_2_451]) ).
cnf(refute_2_453,plain,
h4(op1(e10,e11)) = e23,
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_2_166,refute_2_452]) ).
cnf(refute_2_454,plain,
( h4(op1(e10,e11)) != e23
| h4(op1(e10,e11)) != op2(e23,e22)
| e23 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e22)) ),[0],$fot(e23)]]) ).
cnf(refute_2_455,plain,
( h4(op1(e10,e11)) != op2(e23,e22)
| e23 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e23) )],[refute_2_453,refute_2_454]) ).
cnf(refute_2_456,plain,
e23 = op2(e23,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e23,e22)) )],[refute_2_404,refute_2_455]) ).
cnf(refute_2_457,plain,
$false,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_2_456,refute_2_125]) ).
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(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_3_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_3_1]) ).
fof(normalize_3_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_3_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_3_3]) ).
fof(normalize_3_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_3_6,plain,
h3(e12) = 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,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_3_10,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_11,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_12,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_13,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_3_14,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_15,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_16,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_3_17,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_3_16]) ).
fof(normalize_3_18,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_19,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_3_16]) ).
fof(normalize_3_20,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_3_1]) ).
cnf(refute_3_0,plain,
h4(op1(e10,e13)) != op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_3_8]) ).
cnf(refute_3_1,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(canonicalize,[],[normalize_3_10]) ).
cnf(refute_3_2,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_3_11]) ).
cnf(refute_3_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_3_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_3_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_3_3,refute_3_4]) ).
cnf(refute_3_6,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = e10 ),
inference(subst,[],[refute_3_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e12,e12),op1(e12,e12))))]]) ).
cnf(refute_3_7,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_3_2,refute_3_6]) ).
cnf(refute_3_8,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_3_9,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_3_10,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_3_8,refute_3_9]) ).
cnf(refute_3_11,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e10) )],[refute_3_7,refute_3_10]) ).
cnf(refute_3_12,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(e10,op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,op1(e12,e12))) ),[0],$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_3_13,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_3_11,refute_3_12]) ).
cnf(refute_3_14,plain,
e11 = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(e11,op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_3_1,refute_3_13]) ).
cnf(refute_3_15,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_3_12]) ).
cnf(refute_3_16,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_3_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_3_17,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_3_15,refute_3_16]) ).
cnf(refute_3_18,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_3_19,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_3_20,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_3_18,refute_3_19]) ).
cnf(refute_3_21,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_17,refute_3_20]) ).
cnf(refute_3_22,plain,
( e11 != op1(e10,op1(e12,e12))
| op1(e10,op1(e12,e12)) != op1(e10,e13)
| e11 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e13)) ),[0],$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_3_23,plain,
( e11 != op1(e10,op1(e12,e12))
| e11 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_3_21,refute_3_22]) ).
cnf(refute_3_24,plain,
e11 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e11,op1(e10,op1(e12,e12))) )],[refute_3_14,refute_3_23]) ).
cnf(refute_3_25,plain,
( e11 != op1(e10,e13)
| op1(e10,e13) = e11 ),
inference(subst,[],[refute_3_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_3_26,plain,
op1(e10,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_3_24,refute_3_25]) ).
cnf(refute_3_27,plain,
h4(op1(e10,e13)) = h4(op1(e10,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_3_28,plain,
( h4(op1(e10,e13)) != h4(op1(e10,e13))
| op1(e10,e13) != e11
| h4(op1(e10,e13)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_3_29,plain,
( op1(e10,e13) != e11
| h4(op1(e10,e13)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) )],[refute_3_27,refute_3_28]) ).
cnf(refute_3_30,plain,
h4(op1(e10,e13)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_3_26,refute_3_29]) ).
cnf(refute_3_31,plain,
( h4(e11) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) != h4(e11)
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),h4(e11)) ),[1],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_3_32,plain,
( h4(e11) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(e11)) )],[refute_3_30,refute_3_31]) ).
cnf(refute_3_33,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(canonicalize,[],[normalize_3_14]) ).
cnf(refute_3_34,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_3_15]) ).
cnf(refute_3_35,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = h4(e10) ),
inference(subst,[],[refute_3_5:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_3_36,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_3_34,refute_3_35]) ).
cnf(refute_3_37,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)))]]) ).
cnf(refute_3_38,plain,
( op2(op2(e23,e23),op2(e23,e23)) != h4(e10)
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(h4(e10))]]) ).
cnf(refute_3_39,plain,
( op2(op2(e23,e23),op2(e23,e23)) != h4(e10)
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) )],[refute_3_37,refute_3_38]) ).
cnf(refute_3_40,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h4(e10)) )],[refute_3_36,refute_3_39]) ).
cnf(refute_3_41,plain,
( h4(e11) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) != op2(h4(e10),op2(e23,e23))
| h4(e11) = op2(h4(e10),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h4(e10),op2(e23,e23))) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)))]]) ).
cnf(refute_3_42,plain,
( h4(e11) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| h4(e11) = op2(h4(e10),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) )],[refute_3_40,refute_3_41]) ).
cnf(refute_3_43,plain,
h4(e11) = op2(h4(e10),op2(e23,e23)),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) )],[refute_3_33,refute_3_42]) ).
cnf(refute_3_44,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_3_17]) ).
cnf(refute_3_45,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_3_18]) ).
cnf(refute_3_46,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_3_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_3_47,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_3_45,refute_3_46]) ).
cnf(refute_3_48,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_3_19]) ).
cnf(refute_3_49,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_3_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_3_50,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_3_48,refute_3_49]) ).
cnf(refute_3_51,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_3_52,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_3_53,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_3_51,refute_3_52]) ).
cnf(refute_3_54,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_50,refute_3_53]) ).
cnf(refute_3_55,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_3_56,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_3_57,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_3_55,refute_3_56]) ).
cnf(refute_3_58,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_50,refute_3_57]) ).
cnf(refute_3_59,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_3_60,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_3_5,refute_3_59]) ).
cnf(refute_3_61,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_3_60:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_3_62,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_3_58,refute_3_61]) ).
cnf(refute_3_63,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_3_54,refute_3_62]) ).
cnf(refute_3_64,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_3_60:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_3_65,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_3_63,refute_3_64]) ).
cnf(refute_3_66,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_47,refute_3_65]) ).
cnf(refute_3_67,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_3_68,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_3_66,refute_3_67]) ).
cnf(refute_3_69,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_3_44,refute_3_68]) ).
cnf(refute_3_70,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_3_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_3_71,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_3_69,refute_3_70]) ).
cnf(refute_3_72,plain,
( h4(e13) != e20
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_3_60:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_3_73,plain,
( h4(e13) != e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_47,refute_3_72]) ).
cnf(refute_3_74,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_3_71,refute_3_73]) ).
cnf(refute_3_75,plain,
op2(h1(e13),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e23,e23)))]]) ).
cnf(refute_3_76,plain,
( op2(e23,e23) != e20
| op2(h1(e13),op2(e23,e23)) != op2(h1(e13),op2(e23,e23))
| op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_3_77,plain,
( op2(e23,e23) != e20
| op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) )],[refute_3_75,refute_3_76]) ).
cnf(refute_3_78,plain,
op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_3_74,refute_3_77]) ).
cnf(refute_3_79,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_3_20]) ).
cnf(refute_3_80,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_3_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_3_81,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_3_79,refute_3_80]) ).
cnf(refute_3_82,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_3_83,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_3_84,plain,
( op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_3_82,refute_3_83]) ).
cnf(refute_3_85,plain,
op2(e20,op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_3_74,refute_3_84]) ).
cnf(refute_3_86,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_3_87,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,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(e20)]]) ).
cnf(refute_3_88,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_3_86,refute_3_87]) ).
cnf(refute_3_89,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_3_74,refute_3_88]) ).
cnf(refute_3_90,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(subst,[],[refute_3_60:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_3_91,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_3_89,refute_3_90]) ).
cnf(refute_3_92,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_3_85,refute_3_91]) ).
cnf(refute_3_93,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(subst,[],[refute_3_60:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_3_94,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_3_92,refute_3_93]) ).
cnf(refute_3_95,plain,
op2(op2(e23,e23),op2(e23,e23)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_81,refute_3_94]) ).
cnf(refute_3_96,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_3_97,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h1(e13)) )],[refute_3_95,refute_3_96]) ).
cnf(refute_3_98,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_3_34,refute_3_97]) ).
cnf(refute_3_99,plain,
op2(h4(e10),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(h4(e10),op2(e23,e23)))]]) ).
cnf(refute_3_100,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),op2(e23,e23)) != op2(h4(e10),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_3_101,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) )],[refute_3_99,refute_3_100]) ).
cnf(refute_3_102,plain,
op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_3_98,refute_3_101]) ).
cnf(refute_3_103,plain,
( op2(h1(e13),op2(e23,e23)) != op2(h1(e13),e20)
| op2(h4(e10),op2(e23,e23)) != op2(h1(e13),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(subst,[],[refute_3_60:[bind(X,$fot(op2(h4(e10),op2(e23,e23)))),bind(Y,$fot(op2(h1(e13),op2(e23,e23)))),bind(Z,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_3_104,plain,
( op2(h1(e13),op2(e23,e23)) != op2(h1(e13),e20)
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) )],[refute_3_102,refute_3_103]) ).
cnf(refute_3_105,plain,
op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),e20)) )],[refute_3_78,refute_3_104]) ).
cnf(refute_3_106,plain,
( h4(e11) != op2(h4(e10),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) != op2(h1(e13),e20)
| h4(e11) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h1(e13),e20)) ),[0],$fot(op2(h4(e10),op2(e23,e23)))]]) ).
cnf(refute_3_107,plain,
( h4(e11) != op2(h4(e10),op2(e23,e23))
| h4(e11) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h1(e13),e20)) )],[refute_3_105,refute_3_106]) ).
cnf(refute_3_108,plain,
h4(e11) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e10),op2(e23,e23))) )],[refute_3_43,refute_3_107]) ).
cnf(refute_3_109,plain,
( h4(e11) != op2(h1(e13),e20)
| op2(h1(e13),e20) = h4(e11) ),
inference(subst,[],[refute_3_5:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_3_110,plain,
op2(h1(e13),e20) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(h1(e13),e20)) )],[refute_3_108,refute_3_109]) ).
cnf(refute_3_111,plain,
op2(h1(e13),h4(e13)) = op2(h1(e13),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e13)))]]) ).
cnf(refute_3_112,plain,
( h4(e13) != e20
| op2(h1(e13),h4(e13)) != op2(h1(e13),h4(e13))
| op2(h1(e13),h4(e13)) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e13)),op2(h1(e13),h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_3_113,plain,
( h4(e13) != e20
| op2(h1(e13),h4(e13)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e13)),op2(h1(e13),h4(e13))) )],[refute_3_111,refute_3_112]) ).
cnf(refute_3_114,plain,
op2(h1(e13),h4(e13)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_3_71,refute_3_113]) ).
cnf(refute_3_115,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_3_116,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h1(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_3_117,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e13)) = op2(h1(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_3_115,refute_3_116]) ).
cnf(refute_3_118,plain,
op2(h4(e10),h4(e13)) = op2(h1(e13),h4(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_3_98,refute_3_117]) ).
cnf(refute_3_119,plain,
( op2(h1(e13),h4(e13)) != op2(h1(e13),e20)
| op2(h4(e10),h4(e13)) != op2(h1(e13),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h1(e13),e20) ),
inference(subst,[],[refute_3_60:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(h1(e13),h4(e13)))),bind(Z,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_3_120,plain,
( op2(h1(e13),h4(e13)) != op2(h1(e13),e20)
| op2(h4(e10),h4(e13)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h1(e13),h4(e13))) )],[refute_3_118,refute_3_119]) ).
cnf(refute_3_121,plain,
op2(h4(e10),h4(e13)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e13)),op2(h1(e13),e20)) )],[refute_3_114,refute_3_120]) ).
cnf(refute_3_122,plain,
( op2(h1(e13),e20) != h4(e11)
| op2(h4(e10),h4(e13)) != op2(h1(e13),e20)
| op2(h4(e10),h4(e13)) = h4(e11) ),
inference(subst,[],[refute_3_60:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(h1(e13),e20))),bind(Z,$fot(h4(e11)))]]) ).
cnf(refute_3_123,plain,
( op2(h1(e13),e20) != h4(e11)
| op2(h4(e10),h4(e13)) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h1(e13),e20)) )],[refute_3_121,refute_3_122]) ).
cnf(refute_3_124,plain,
op2(h4(e10),h4(e13)) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h4(e11)) )],[refute_3_110,refute_3_123]) ).
cnf(refute_3_125,plain,
( h4(e11) != h4(e11)
| op2(h4(e10),h4(e13)) != h4(e11)
| h4(e11) = op2(h4(e10),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h4(e10),h4(e13))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_3_126,plain,
( h4(e11) != h4(e11)
| h4(e11) = op2(h4(e10),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),h4(e11)) )],[refute_3_124,refute_3_125]) ).
cnf(refute_3_127,plain,
( h4(e11) != h4(e11)
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e10),h4(e13))) )],[refute_3_126,refute_3_32]) ).
cnf(refute_3_128,plain,
h4(e11) != h4(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_3_127,refute_3_0]) ).
cnf(refute_3_129,plain,
h4(e11) = h4(e11),
introduced(tautology,[refl,[$fot(h4(e11))]]) ).
cnf(refute_3_130,plain,
$false,
inference(resolve,[$cnf( $equal(h4(e11),h4(e11)) )],[refute_3_129,refute_3_128]) ).
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,
( ( ( op2(e20,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) )
& ( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) )
& ( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_4_1,plain,
( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_2,plain,
( ( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e23,e22) != e23 )
& ( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e20) != e23
| op2(e23,e22) != e23
| op2(e21,e23) = e21 )
& ( op2(e23,e20) != e23
| op2(e21,e23) = e21
| op2(e22,e23) = e22 )
& ( op2(e23,e21) != e23
| op2(e23,e22) != e23
| op2(e20,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e23) = e20
| op2(e22,e23) = e22 )
& ( op2(e23,e22) != e23
| op2(e20,e23) = e20
| op2(e21,e23) = e21 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ) ),
inference(clausify,[],[normalize_4_1]) ).
fof(normalize_4_3,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_4,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_4_5,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_6,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_4_7,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_8,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_9,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_10,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_4_11,plain,
e20 != e21,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_12,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_13,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_14,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_4_15,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_4_14]) ).
fof(normalize_4_16,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_4_14]) ).
fof(normalize_4_17,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_18,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_4_14]) ).
fof(normalize_4_19,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_4_20,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_4_19]) ).
fof(normalize_4_21,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_22,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_17,normalize_4_18,normalize_4_20,normalize_4_21]) ).
fof(normalize_4_23,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_4_22]) ).
fof(normalize_4_24,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_4_25,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_26,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_27,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_28,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_4_27]) ).
fof(normalize_4_29,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_4_27]) ).
fof(normalize_4_30,plain,
( ( ( op1(e10,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) )
& ( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) )
& ( ( op1(e13,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e12,e13) = e12 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_4_31,plain,
( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) ),
inference(conjunct,[],[normalize_4_30]) ).
fof(normalize_4_32,plain,
( ( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e11,e13) != e11 )
& ( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e13,e11) = e13 )
& ( op1(e11,e10) != e11
| op1(e11,e13) != e11
| op1(e12,e11) = e12 )
& ( op1(e11,e10) != e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e11,e12) != e11
| op1(e11,e13) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e12) != e11
| op1(e10,e11) = e10
| op1(e13,e11) = e13 )
& ( op1(e11,e13) != e11
| op1(e10,e11) = e10
| op1(e12,e11) = e12 )
& ( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ) ),
inference(clausify,[],[normalize_4_31]) ).
fof(normalize_4_33,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_4_32]) ).
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 != e13,
inference(conjunct,[],[normalize_4_34]) ).
fof(normalize_4_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_4_37,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_38,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_4_27]) ).
fof(normalize_4_39,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_4_40,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_4_39]) ).
fof(normalize_4_41,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(conjunct,[],[normalize_4_39]) ).
fof(normalize_4_42,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_4_39]) ).
fof(normalize_4_43,plain,
e11 != e13,
inference(conjunct,[],[normalize_4_34]) ).
fof(normalize_4_44,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_45,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_4_44]) ).
fof(normalize_4_46,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_4_27]) ).
fof(normalize_4_47,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_4_27]) ).
fof(normalize_4_48,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_4_27]) ).
fof(normalize_4_49,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_4_22]) ).
fof(normalize_4_50,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_51,plain,
op1(e11,e10) != op1(e11,e12),
inference(conjunct,[],[normalize_4_27]) ).
fof(normalize_4_52,plain,
( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_4_30]) ).
fof(normalize_4_53,plain,
( ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e12,e13) != e12 )
& ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e13,e12) = e13 )
& ( op1(e12,e10) != e12
| op1(e12,e13) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e10) != e12
| op1(e11,e12) = e11
| op1(e13,e12) = e13 )
& ( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e10,e12) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e12) = e10
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e12
| op1(e10,e12) = e10
| op1(e11,e12) = e11 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ) ),
inference(clausify,[],[normalize_4_52]) ).
fof(normalize_4_54,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_4_53]) ).
fof(normalize_4_55,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_4_27]) ).
fof(normalize_4_56,plain,
op1(e12,e10) != op1(e12,e13),
inference(conjunct,[],[normalize_4_27]) ).
fof(normalize_4_57,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_4_27]) ).
fof(normalize_4_58,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(conjunct,[],[normalize_4_44]) ).
fof(normalize_4_59,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_4_27]) ).
fof(normalize_4_60,plain,
( op1(e12,e11) != e12
| op1(e10,e12) = e10
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_4_53]) ).
fof(normalize_4_61,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_4_27]) ).
fof(normalize_4_62,plain,
( ( op1(e10,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) ),
inference(conjunct,[],[normalize_4_30]) ).
fof(normalize_4_63,plain,
( ( op1(e10,e11) != e10
| op1(e10,e12) != e10
| op1(e10,e13) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e12) != e10
| op1(e13,e10) = e13 )
& ( op1(e10,e11) != e10
| op1(e10,e13) != e10
| op1(e12,e10) = e12 )
& ( op1(e10,e11) != e10
| op1(e12,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e10,e12) != e10
| op1(e10,e13) != e10
| op1(e11,e10) = e11 )
& ( op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 )
& ( op1(e10,e13) != e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12 )
& ( op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 ) ),
inference(clausify,[],[normalize_4_62]) ).
fof(normalize_4_64,plain,
( op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_4_63]) ).
fof(normalize_4_65,plain,
e12 != e13,
inference(conjunct,[],[normalize_4_34]) ).
fof(normalize_4_66,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_67,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_68,plain,
( ( op2(e20,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) ),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_69,plain,
( ( op2(e20,e21) != e20
| op2(e20,e22) != e20
| op2(e20,e23) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e22) != e20
| op2(e23,e20) = e23 )
& ( op2(e20,e21) != e20
| op2(e20,e23) != e20
| op2(e22,e20) = e22 )
& ( op2(e20,e21) != e20
| op2(e22,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e20,e22) != e20
| op2(e20,e23) != e20
| op2(e21,e20) = e21 )
& ( op2(e20,e22) != e20
| op2(e21,e20) = e21
| op2(e23,e20) = e23 )
& ( op2(e20,e23) != e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22 )
& ( op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 ) ),
inference(clausify,[],[normalize_4_68]) ).
fof(normalize_4_70,plain,
( op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_4_69]) ).
fof(normalize_4_71,plain,
op2(e22,e20) != op2(e22,e23),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_72,plain,
( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) ),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_73,plain,
( ( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e23) != e21 )
& ( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e23,e21) = e23 )
& ( op2(e21,e20) != e21
| op2(e21,e23) != e21
| op2(e22,e21) = e22 )
& ( op2(e21,e20) != e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e21,e22) != e21
| op2(e21,e23) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e21) = e20
| op2(e23,e21) = e23 )
& ( op2(e21,e23) != e21
| op2(e20,e21) = e20
| op2(e22,e21) = e22 )
& ( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ) ),
inference(clausify,[],[normalize_4_72]) ).
fof(normalize_4_74,plain,
( op2(e21,e22) != e21
| op2(e20,e21) = e20
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_4_73]) ).
fof(normalize_4_75,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_76,plain,
( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_77,plain,
( ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e22,e23) != e22 )
& ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e23,e22) = e23 )
& ( op2(e22,e20) != e22
| op2(e22,e23) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e20) != e22
| op2(e21,e22) = e21
| op2(e23,e22) = e23 )
& ( op2(e22,e21) != e22
| op2(e22,e23) != e22
| op2(e20,e22) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e22) = e20
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e22
| op2(e20,e22) = e20
| op2(e21,e22) = e21 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ) ),
inference(clausify,[],[normalize_4_76]) ).
fof(normalize_4_78,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_4_77]) ).
fof(normalize_4_79,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_80,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_81,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_4_80]) ).
fof(normalize_4_82,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_4_19]) ).
fof(normalize_4_83,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_84,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_85,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_4_80]) ).
fof(normalize_4_86,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_87,plain,
e20 != e23,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_88,plain,
e21 != e23,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_89,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_4_80]) ).
fof(normalize_4_90,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_91,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_4_80]) ).
fof(normalize_4_92,plain,
e22 != e23,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_93,plain,
e21 != e22,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_94,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_95,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_96,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_4_95]) ).
fof(normalize_4_97,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_98,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_99,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_4_95]) ).
fof(normalize_4_100,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_101,plain,
e20 != e22,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_102,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(conjunct,[],[normalize_4_80]) ).
fof(normalize_4_103,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_4_80]) ).
fof(normalize_4_104,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_105,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_106,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_4_12]) ).
cnf(refute_4_0,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(canonicalize,[],[normalize_4_3]) ).
cnf(refute_4_1,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_4_5]) ).
cnf(refute_4_2,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_4_7]) ).
cnf(refute_4_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_4_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_4_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_4_3,refute_4_4]) ).
cnf(refute_4_6,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_4_7,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_4_2,refute_4_6]) ).
cnf(refute_4_8,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_4_9,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_10,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_4_8,refute_4_9]) ).
cnf(refute_4_11,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_10]) ).
cnf(refute_4_12,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_4_8]) ).
cnf(refute_4_13,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = e20 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_4_14,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_4_12,refute_4_13]) ).
cnf(refute_4_15,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_4_16,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_17,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_4_15,refute_4_16]) ).
cnf(refute_4_18,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e20) )],[refute_4_14,refute_4_17]) ).
cnf(refute_4_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_4_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_4_5,refute_4_19]) ).
cnf(refute_4_21,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(subst,[],[refute_4_20:[bind(X,$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))),bind(Y,$fot(op2(e20,op2(e22,e22)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_4_22,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_4_18,refute_4_21]) ).
cnf(refute_4_23,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_4_11,refute_4_22]) ).
cnf(refute_4_24,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,e23)
| h3(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e20,e23)) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_4_25,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| h3(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,e23)) )],[refute_4_23,refute_4_24]) ).
cnf(refute_4_26,plain,
h3(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_4_1,refute_4_25]) ).
cnf(refute_4_27,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_4_28,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_4_26,refute_4_27]) ).
cnf(refute_4_29,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_4_30,plain,
( op2(e20,e23) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_4_28,refute_4_29]) ).
cnf(refute_4_31,plain,
( h3(e11) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_4_0,refute_4_30]) ).
cnf(refute_4_32,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_4_9]) ).
cnf(refute_4_33,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,op2(e22,e22))) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_4_34,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_4_18,refute_4_33]) ).
cnf(refute_4_35,plain,
e21 = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(e21,op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_4_32,refute_4_34]) ).
cnf(refute_4_36,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(subst,[],[refute_4_20:[bind(X,$fot(op2(e20,op2(e22,e22)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_4_37,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_4_11,refute_4_36]) ).
cnf(refute_4_38,plain,
op2(e20,op2(e22,e22)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_4_28,refute_4_37]) ).
cnf(refute_4_39,plain,
( e21 != op2(e20,op2(e22,e22))
| op2(e20,op2(e22,e22)) != h3(e11)
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[0],$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_4_40,plain,
( e21 != op2(e20,op2(e22,e22))
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),h3(e11)) )],[refute_4_38,refute_4_39]) ).
cnf(refute_4_41,plain,
e21 = h3(e11),
inference(resolve,[$cnf( $equal(e21,op2(e20,op2(e22,e22))) )],[refute_4_35,refute_4_40]) ).
cnf(refute_4_42,plain,
( e21 != h3(e11)
| h3(e11) = e21 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e21)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_4_43,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_4_41,refute_4_42]) ).
cnf(refute_4_44,plain,
( h3(e11) != e20
| h3(e11) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e20) ),[0],$fot(e21)]]) ).
cnf(refute_4_45,plain,
( h3(e11) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_4_43,refute_4_44]) ).
cnf(refute_4_46,plain,
( e21 = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_4_31,refute_4_45]) ).
cnf(refute_4_47,plain,
e20 != e21,
inference(canonicalize,[],[normalize_4_11]) ).
cnf(refute_4_48,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_4_49,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_4_48,refute_4_47]) ).
cnf(refute_4_50,plain,
( op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_4_46,refute_4_49]) ).
cnf(refute_4_51,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_4_13]) ).
cnf(refute_4_52,plain,
( h3(e11) != op2(e21,e23)
| op2(e20,e23) != h3(e11)
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h3(e11)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_4_53,plain,
( h3(e11) != op2(e21,e23)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_4_28,refute_4_52]) ).
cnf(refute_4_54,plain,
h3(e11) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_4_53,refute_4_51]) ).
cnf(refute_4_55,plain,
( e21 != op2(e21,e23)
| h3(e11) != e21
| h3(e11) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_4_56,plain,
( e21 != op2(e21,e23)
| h3(e11) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_4_43,refute_4_55]) ).
cnf(refute_4_57,plain,
e21 != op2(e21,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e21,e23)) )],[refute_4_56,refute_4_54]) ).
cnf(refute_4_58,plain,
( op2(e21,e23) != e21
| e21 = op2(e21,e23) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e21))]]) ).
cnf(refute_4_59,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e21,e23)) )],[refute_4_58,refute_4_57]) ).
cnf(refute_4_60,plain,
op2(e22,e23) = e22,
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_4_50,refute_4_59]) ).
cnf(refute_4_61,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_4_15]) ).
cnf(refute_4_62,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_4_16]) ).
cnf(refute_4_63,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_4_64,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_4_62,refute_4_63]) ).
cnf(refute_4_65,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_4_66,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_4_67,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_4_65,refute_4_66]) ).
cnf(refute_4_68,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_64,refute_4_67]) ).
cnf(refute_4_69,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_4_70,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),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(e13))]]) ).
cnf(refute_4_71,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_4_69,refute_4_70]) ).
cnf(refute_4_72,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_64,refute_4_71]) ).
cnf(refute_4_73,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_4_20:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_4_74,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_4_72,refute_4_73]) ).
cnf(refute_4_75,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_4_68,refute_4_74]) ).
cnf(refute_4_76,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e10) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_4_77,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| h1(e10) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_4_75,refute_4_76]) ).
cnf(refute_4_78,plain,
h1(e10) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_4_61,refute_4_77]) ).
cnf(refute_4_79,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_4_23]) ).
cnf(refute_4_80,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) = h1(e10) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_4_81,plain,
op2(h1(e13),h1(e13)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_4_78,refute_4_80]) ).
cnf(refute_4_82,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_4_25]) ).
cnf(refute_4_83,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_4_26]) ).
cnf(refute_4_84,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_4_85,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_4_83,refute_4_84]) ).
cnf(refute_4_86,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_4_87,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_88,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_4_86,refute_4_87]) ).
cnf(refute_4_89,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_88]) ).
cnf(refute_4_90,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_4_91,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_4_92,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_4_90,refute_4_91]) ).
cnf(refute_4_93,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_92]) ).
cnf(refute_4_94,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_4_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_4_95,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_4_93,refute_4_94]) ).
cnf(refute_4_96,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_4_89,refute_4_95]) ).
cnf(refute_4_97,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_4_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_4_98,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_4_96,refute_4_97]) ).
cnf(refute_4_99,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_85,refute_4_98]) ).
cnf(refute_4_100,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_4_101,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_4_99,refute_4_100]) ).
cnf(refute_4_102,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_4_12,refute_4_101]) ).
cnf(refute_4_103,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_4_104,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_4_102,refute_4_103]) ).
cnf(refute_4_105,plain,
( h4(e13) != e20
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_4_20:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_4_106,plain,
( h4(e13) != e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_85,refute_4_105]) ).
cnf(refute_4_107,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_4_104,refute_4_106]) ).
cnf(refute_4_108,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_4_109,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_110,plain,
( op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_4_108,refute_4_109]) ).
cnf(refute_4_111,plain,
op2(e20,op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_107,refute_4_110]) ).
cnf(refute_4_112,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_4_113,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,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(e20)]]) ).
cnf(refute_4_114,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_4_112,refute_4_113]) ).
cnf(refute_4_115,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_107,refute_4_114]) ).
cnf(refute_4_116,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(subst,[],[refute_4_20:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_4_117,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_4_115,refute_4_116]) ).
cnf(refute_4_118,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_4_111,refute_4_117]) ).
cnf(refute_4_119,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(subst,[],[refute_4_20:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_4_120,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_4_118,refute_4_119]) ).
cnf(refute_4_121,plain,
op2(op2(e23,e23),op2(e23,e23)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_64,refute_4_120]) ).
cnf(refute_4_122,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_4_123,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h1(e13)) )],[refute_4_121,refute_4_122]) ).
cnf(refute_4_124,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_4_82,refute_4_123]) ).
cnf(refute_4_125,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e10)))]]) ).
cnf(refute_4_126,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_4_127,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_4_125,refute_4_126]) ).
cnf(refute_4_128,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_4_124,refute_4_127]) ).
cnf(refute_4_129,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_4_130,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_4_131,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_4_129,refute_4_130]) ).
cnf(refute_4_132,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_4_124,refute_4_131]) ).
cnf(refute_4_133,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_4_20:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h4(e10)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_4_134,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_4_132,refute_4_133]) ).
cnf(refute_4_135,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_4_128,refute_4_134]) ).
cnf(refute_4_136,plain,
( op2(h1(e13),h1(e13)) != h1(e10)
| op2(h4(e10),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = h1(e10) ),
inference(subst,[],[refute_4_20:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h1(e13)))),bind(Z,$fot(h1(e10)))]]) ).
cnf(refute_4_137,plain,
( op2(h1(e13),h1(e13)) != h1(e10)
| op2(h4(e10),h4(e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_4_135,refute_4_136]) ).
cnf(refute_4_138,plain,
op2(h4(e10),h4(e10)) = h1(e10),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),h1(e10)) )],[refute_4_81,refute_4_137]) ).
cnf(refute_4_139,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e10)
| h4(op1(e10,e10)) = h1(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e10)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_4_140,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e10)) )],[refute_4_138,refute_4_139]) ).
cnf(refute_4_141,plain,
h4(op1(e10,e10)) = h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_4_79,refute_4_140]) ).
cnf(refute_4_142,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_4_28]) ).
cnf(refute_4_143,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_4_29]) ).
cnf(refute_4_144,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_4_33]) ).
cnf(refute_4_145,plain,
( op1(e10,e11) != e13
| op1(e13,e11) != e13
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_4_146,plain,
( op1(e10,e11) != e13
| op1(e10,e11) = e10
| op1(e10,e11) = op1(e13,e11)
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_4_144,refute_4_145]) ).
cnf(refute_4_147,plain,
( op1(e10,e11) != e13
| op1(e10,e11) = e10
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_4_146,refute_4_143]) ).
cnf(refute_4_148,plain,
( op1(e10,e11) != e10
| op1(e10,e11) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[0],$fot(e13)]]) ).
cnf(refute_4_149,plain,
( op1(e10,e11) != e13
| e13 = e10
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_4_147,refute_4_148]) ).
cnf(refute_4_150,plain,
e10 != e13,
inference(canonicalize,[],[normalize_4_35]) ).
cnf(refute_4_151,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_4_152,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_4_151,refute_4_150]) ).
cnf(refute_4_153,plain,
( op1(e10,e11) != e13
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_4_149,refute_4_152]) ).
cnf(refute_4_154,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_4_37]) ).
cnf(refute_4_155,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_4_38]) ).
cnf(refute_4_156,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_4_40]) ).
cnf(refute_4_157,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_4_158,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_4_156,refute_4_157]) ).
cnf(refute_4_159,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_4_160,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_158,refute_4_159]) ).
cnf(refute_4_161,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_4_160,refute_4_155]) ).
cnf(refute_4_162,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_4_154,refute_4_161]) ).
cnf(refute_4_163,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(canonicalize,[],[normalize_4_41]) ).
cnf(refute_4_164,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_4_42]) ).
cnf(refute_4_165,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = e10 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e12,e12),op1(e12,e12))))]]) ).
cnf(refute_4_166,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_4_164,refute_4_165]) ).
cnf(refute_4_167,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_4_168,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_4_169,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_4_167,refute_4_168]) ).
cnf(refute_4_170,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e10) )],[refute_4_166,refute_4_169]) ).
cnf(refute_4_171,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(e10,op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,op1(e12,e12))) ),[0],$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_4_172,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_4_170,refute_4_171]) ).
cnf(refute_4_173,plain,
e11 = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(e11,op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_4_163,refute_4_172]) ).
cnf(refute_4_174,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_4_175,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_4_176,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_4_174,refute_4_175]) ).
cnf(refute_4_177,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_158,refute_4_176]) ).
cnf(refute_4_178,plain,
( e11 != op1(e10,op1(e12,e12))
| op1(e10,op1(e12,e12)) != op1(e10,e13)
| e11 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e13)) ),[0],$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_4_179,plain,
( e11 != op1(e10,op1(e12,e12))
| e11 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_4_177,refute_4_178]) ).
cnf(refute_4_180,plain,
e11 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e11,op1(e10,op1(e12,e12))) )],[refute_4_173,refute_4_179]) ).
cnf(refute_4_181,plain,
( e11 != op1(e10,e13)
| op1(e10,e13) = e11 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_4_182,plain,
op1(e10,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_4_180,refute_4_181]) ).
cnf(refute_4_183,plain,
( op1(e10,e13) != e11
| op1(e10,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_4_184,plain,
( op1(e10,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_4_182,refute_4_183]) ).
cnf(refute_4_185,plain,
( e11 = e13
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_4_162,refute_4_184]) ).
cnf(refute_4_186,plain,
e11 != e13,
inference(canonicalize,[],[normalize_4_43]) ).
cnf(refute_4_187,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_4_185,refute_4_186]) ).
cnf(refute_4_188,plain,
( e13 != e13
| op1(e10,e11) != e13
| op1(e10,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_4_189,plain,
( e13 != e13
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_4_187,refute_4_188]) ).
cnf(refute_4_190,plain,
( e13 != e13
| op1(e10,e10) = e13
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_4_189,refute_4_153]) ).
cnf(refute_4_191,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_4_192,plain,
( op1(e10,e10) = e13
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_4_191,refute_4_190]) ).
cnf(refute_4_193,plain,
( e12 != op1(e12,e13)
| op1(e12,e11) != e12
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_4_194,plain,
( e12 != op1(e12,e13)
| op1(e10,e10) = e13
| op1(e12,e11) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_4_192,refute_4_193]) ).
cnf(refute_4_195,plain,
( e12 != op1(e12,e13)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_4_194,refute_4_142]) ).
cnf(refute_4_196,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_4_45]) ).
cnf(refute_4_197,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_4_46]) ).
cnf(refute_4_198,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_4_199,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_158,refute_4_198]) ).
cnf(refute_4_200,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_4_199,refute_4_197]) ).
cnf(refute_4_201,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_4_202,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_4_201,refute_4_200]) ).
cnf(refute_4_203,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_4_196,refute_4_202]) ).
cnf(refute_4_204,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_4_47]) ).
cnf(refute_4_205,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_4_206,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_4_207,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_4_205,refute_4_206]) ).
cnf(refute_4_208,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_158,refute_4_207]) ).
cnf(refute_4_209,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_4_210,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_4_211,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_4_209,refute_4_210]) ).
cnf(refute_4_212,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_158,refute_4_211]) ).
cnf(refute_4_213,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_4_20:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_4_214,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_4_212,refute_4_213]) ).
cnf(refute_4_215,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_4_208,refute_4_214]) ).
cnf(refute_4_216,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_4_217,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_4_215,refute_4_216]) ).
cnf(refute_4_218,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_4_164,refute_4_217]) ).
cnf(refute_4_219,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_4_220,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_4_218,refute_4_219]) ).
cnf(refute_4_221,plain,
( op1(e12,e13) != e10
| op1(e13,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_4_222,plain,
( op1(e12,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_220,refute_4_221]) ).
cnf(refute_4_223,plain,
op1(e12,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_4_222,refute_4_204]) ).
cnf(refute_4_224,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_4_203,refute_4_223]) ).
cnf(refute_4_225,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_4_48]) ).
cnf(refute_4_226,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_4_227,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_4_182,refute_4_226]) ).
cnf(refute_4_228,plain,
e11 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_4_227,refute_4_225]) ).
cnf(refute_4_229,plain,
( op1(e12,e13) != e11
| e11 = op1(e12,e13) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e11))]]) ).
cnf(refute_4_230,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_4_229,refute_4_228]) ).
cnf(refute_4_231,plain,
op1(e12,e13) = e12,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_4_224,refute_4_230]) ).
cnf(refute_4_232,plain,
( e12 != e12
| op1(e12,e13) != e12
| e12 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_4_233,plain,
( e12 != e12
| e12 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_4_231,refute_4_232]) ).
cnf(refute_4_234,plain,
( e12 != e12
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_4_233,refute_4_195]) ).
cnf(refute_4_235,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_4_236,plain,
op1(e10,e10) = e13,
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_4_235,refute_4_234]) ).
cnf(refute_4_237,plain,
h4(op1(e10,e10)) = h4(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).
cnf(refute_4_238,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_239,plain,
( op1(e10,e10) != e13
| h4(op1(e10,e10)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_4_237,refute_4_238]) ).
cnf(refute_4_240,plain,
h4(op1(e10,e10)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_4_236,refute_4_239]) ).
cnf(refute_4_241,plain,
( h4(e13) != e20
| h4(op1(e10,e10)) != h4(e13)
| h4(op1(e10,e10)) = e20 ),
inference(subst,[],[refute_4_20:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_4_242,plain,
( h4(e13) != e20
| h4(op1(e10,e10)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e13)) )],[refute_4_240,refute_4_241]) ).
cnf(refute_4_243,plain,
h4(op1(e10,e10)) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_4_104,refute_4_242]) ).
cnf(refute_4_244,plain,
( h4(op1(e10,e10)) != e20
| h4(op1(e10,e10)) != h1(e10)
| e20 = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) ),[0],$fot(e20)]]) ).
cnf(refute_4_245,plain,
( h4(op1(e10,e10)) != h1(e10)
| e20 = h1(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e20) )],[refute_4_243,refute_4_244]) ).
cnf(refute_4_246,plain,
e20 = h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) )],[refute_4_141,refute_4_245]) ).
cnf(refute_4_247,plain,
( e20 != h1(e10)
| h1(e10) = e20 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e20)),bind(Y,$fot(h1(e10)))]]) ).
cnf(refute_4_248,plain,
h1(e10) = e20,
inference(resolve,[$cnf( $equal(e20,h1(e10)) )],[refute_4_246,refute_4_247]) ).
cnf(refute_4_249,plain,
( h1(e10) != e20
| h1(e10) != op2(h1(e13),h1(e13))
| e20 = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) ),[0],$fot(e20)]]) ).
cnf(refute_4_250,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| e20 = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_4_248,refute_4_249]) ).
cnf(refute_4_251,plain,
e20 = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_4_78,refute_4_250]) ).
cnf(refute_4_252,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_4_49]) ).
cnf(refute_4_253,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_4_50]) ).
cnf(refute_4_254,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e12)))]]) ).
cnf(refute_4_255,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_256,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_4_254,refute_4_255]) ).
cnf(refute_4_257,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_4_253,refute_4_256]) ).
cnf(refute_4_258,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_4_259,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_4_260,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_4_258,refute_4_259]) ).
cnf(refute_4_261,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_4_124,refute_4_260]) ).
cnf(refute_4_262,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(subst,[],[refute_4_20:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),h4(e12)))),bind(Z,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_4_263,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_4_261,refute_4_262]) ).
cnf(refute_4_264,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),e23)) )],[refute_4_257,refute_4_263]) ).
cnf(refute_4_265,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h1(e13),e23)
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_4_266,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),e23)) )],[refute_4_264,refute_4_265]) ).
cnf(refute_4_267,plain,
h4(op1(e10,e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_4_252,refute_4_266]) ).
cnf(refute_4_268,plain,
op1(e11,e10) != op1(e11,e12),
inference(canonicalize,[],[normalize_4_51]) ).
cnf(refute_4_269,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_4_54]) ).
cnf(refute_4_270,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_4_55]) ).
cnf(refute_4_271,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_4_272,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_158,refute_4_271]) ).
cnf(refute_4_273,plain,
e13 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_4_272,refute_4_270]) ).
cnf(refute_4_274,plain,
( op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).
cnf(refute_4_275,plain,
op1(e13,e12) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_4_274,refute_4_273]) ).
cnf(refute_4_276,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_4_269,refute_4_275]) ).
cnf(refute_4_277,plain,
( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e11,e10) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_4_278,plain,
( op1(e11,e10) != e11
| op1(e10,e12) = e10
| op1(e11,e10) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_4_276,refute_4_277]) ).
cnf(refute_4_279,plain,
( op1(e11,e10) != e11
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_4_278,refute_4_268]) ).
cnf(refute_4_280,plain,
op1(e12,e10) != op1(e12,e13),
inference(canonicalize,[],[normalize_4_56]) ).
cnf(refute_4_281,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_4_57]) ).
cnf(refute_4_282,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(canonicalize,[],[normalize_4_58]) ).
cnf(refute_4_283,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_4_59]) ).
cnf(refute_4_284,plain,
( op1(e12,e11) != e12
| op1(e10,e12) = e10
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_4_60]) ).
cnf(refute_4_285,plain,
( op1(e12,e11) != e12
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_4_284,refute_4_275]) ).
cnf(refute_4_286,plain,
( e12 != e12
| op1(e12,e11) != e12
| op1(e12,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0,0],$fot(e12)]]) ).
cnf(refute_4_287,plain,
( e12 != e12
| op1(e10,e10) = e13
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_4_192,refute_4_286]) ).
cnf(refute_4_288,plain,
( e12 != e12
| op1(e10,e10) = e13
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_4_287,refute_4_285]) ).
cnf(refute_4_289,plain,
( op1(e10,e10) = e13
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_4_235,refute_4_288]) ).
cnf(refute_4_290,plain,
( op1(e10,e10) != e10
| op1(e10,e12) != e10
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_4_291,plain,
( op1(e10,e10) != e10
| op1(e10,e10) = e13
| op1(e10,e10) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_4_289,refute_4_290]) ).
cnf(refute_4_292,plain,
( op1(e10,e10) != e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_4_291,refute_4_283]) ).
cnf(refute_4_293,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[0],$fot(e10)]]) ).
cnf(refute_4_294,plain,
( op1(e10,e10) != e10
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_4_292,refute_4_293]) ).
cnf(refute_4_295,plain,
op1(e10,e10) != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_4_294,refute_4_150]) ).
cnf(refute_4_296,plain,
( op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_4_282,refute_4_295]) ).
cnf(refute_4_297,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_4_61]) ).
cnf(refute_4_298,plain,
( op1(e10,e10) != e11
| op1(e10,e13) != e11
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_4_299,plain,
( op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_4_182,refute_4_298]) ).
cnf(refute_4_300,plain,
op1(e10,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_4_299,refute_4_297]) ).
cnf(refute_4_301,plain,
( op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_4_296,refute_4_300]) ).
cnf(refute_4_302,plain,
( e13 != op1(e13,e10)
| op1(e10,e10) != e13
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(op1(e13,e10))]]) ).
cnf(refute_4_303,plain,
( e13 != op1(e13,e10)
| op1(e10,e10) = e12
| op1(e10,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_4_301,refute_4_302]) ).
cnf(refute_4_304,plain,
( e13 != op1(e13,e10)
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_4_303,refute_4_281]) ).
cnf(refute_4_305,plain,
( op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_4_64]) ).
cnf(refute_4_306,plain,
( e13 != e13
| op1(e13,e10) != e13
| e13 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_4_307,plain,
( e13 != e13
| e13 = op1(e13,e10)
| op1(e11,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_4_305,refute_4_306]) ).
cnf(refute_4_308,plain,
( e13 != e13
| op1(e10,e10) = e12
| op1(e11,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e10)) )],[refute_4_307,refute_4_304]) ).
cnf(refute_4_309,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_4_191,refute_4_308]) ).
cnf(refute_4_310,plain,
( e12 != op1(e12,e13)
| op1(e12,e10) != e12
| op1(e12,e10) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_4_311,plain,
( e12 != op1(e12,e13)
| op1(e10,e10) = e12
| op1(e11,e10) = e11
| op1(e12,e10) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_4_309,refute_4_310]) ).
cnf(refute_4_312,plain,
( e12 != op1(e12,e13)
| op1(e10,e10) = e12
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e13)) )],[refute_4_311,refute_4_280]) ).
cnf(refute_4_313,plain,
( e12 != e12
| op1(e10,e10) = e12
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_4_233,refute_4_312]) ).
cnf(refute_4_314,plain,
( op1(e10,e10) != e12
| op1(e10,e10) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[0],$fot(e13)]]) ).
cnf(refute_4_315,plain,
( op1(e10,e10) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_4_236,refute_4_314]) ).
cnf(refute_4_316,plain,
( e12 != e12
| e13 = e12
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_4_313,refute_4_315]) ).
cnf(refute_4_317,plain,
( e13 = e12
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_4_235,refute_4_316]) ).
cnf(refute_4_318,plain,
e12 != e13,
inference(canonicalize,[],[normalize_4_65]) ).
cnf(refute_4_319,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_4_320,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_4_319,refute_4_318]) ).
cnf(refute_4_321,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_4_317,refute_4_320]) ).
cnf(refute_4_322,plain,
( e11 != e11
| op1(e11,e10) != e11
| op1(e11,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_4_323,plain,
( e11 != e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_4_321,refute_4_322]) ).
cnf(refute_4_324,plain,
( e11 != e11
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_4_323,refute_4_279]) ).
cnf(refute_4_325,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_4_326,plain,
op1(e10,e12) = e10,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_4_325,refute_4_324]) ).
cnf(refute_4_327,plain,
h4(op1(e10,e12)) = h4(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_4_328,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| op1(e10,e12) != e10
| h4(op1(e10,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_4_329,plain,
( op1(e10,e12) != e10
| h4(op1(e10,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_4_327,refute_4_328]) ).
cnf(refute_4_330,plain,
h4(op1(e10,e12)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_4_326,refute_4_329]) ).
cnf(refute_4_331,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) != h4(e10)
| h4(op1(e10,e12)) = h1(e13) ),
inference(subst,[],[refute_4_20:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_4_332,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e10)) )],[refute_4_330,refute_4_331]) ).
cnf(refute_4_333,plain,
h4(op1(e10,e12)) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_4_124,refute_4_332]) ).
cnf(refute_4_334,plain,
( h4(op1(e10,e12)) != h1(e13)
| h4(op1(e10,e12)) != op2(h1(e13),e23)
| h1(e13) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(h1(e13))]]) ).
cnf(refute_4_335,plain,
( h4(op1(e10,e12)) != op2(h1(e13),e23)
| h1(e13) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h1(e13)) )],[refute_4_333,refute_4_334]) ).
cnf(refute_4_336,plain,
h1(e13) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) )],[refute_4_267,refute_4_335]) ).
cnf(refute_4_337,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_4_66]) ).
cnf(refute_4_338,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_4_67]) ).
cnf(refute_4_339,plain,
( op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_4_70]) ).
cnf(refute_4_340,plain,
op2(e22,e20) != op2(e22,e23),
inference(canonicalize,[],[normalize_4_71]) ).
cnf(refute_4_341,plain,
( op2(e22,e20) != e22
| op2(e22,e23) != e22
| op2(e22,e20) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_4_342,plain,
( op2(e22,e20) != e22
| op2(e22,e20) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_4_60,refute_4_341]) ).
cnf(refute_4_343,plain,
op2(e22,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e23)) )],[refute_4_342,refute_4_340]) ).
cnf(refute_4_344,plain,
( op2(e21,e20) = e21
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_4_339,refute_4_343]) ).
cnf(refute_4_345,plain,
( e23 != op2(e23,e21)
| op2(e23,e20) != e23
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_4_346,plain,
( e23 != op2(e23,e21)
| op2(e21,e20) = e21
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_4_344,refute_4_345]) ).
cnf(refute_4_347,plain,
( e23 != op2(e23,e21)
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_4_346,refute_4_338]) ).
cnf(refute_4_348,plain,
( op2(e21,e22) != e21
| op2(e20,e21) = e20
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_4_74]) ).
cnf(refute_4_349,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_4_75]) ).
cnf(refute_4_350,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_4_78]) ).
cnf(refute_4_351,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_4_79]) ).
cnf(refute_4_352,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_4_353,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_352]) ).
cnf(refute_4_354,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_4_353,refute_4_351]) ).
cnf(refute_4_355,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_4_356,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_4_355,refute_4_354]) ).
cnf(refute_4_357,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_4_350,refute_4_356]) ).
cnf(refute_4_358,plain,
( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_4_359,plain,
( op2(e21,e20) != e21
| op2(e20,e22) = e20
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_357,refute_4_358]) ).
cnf(refute_4_360,plain,
( op2(e21,e20) != e21
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_4_359,refute_4_337]) ).
cnf(refute_4_361,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_4_81]) ).
cnf(refute_4_362,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_4_82]) ).
cnf(refute_4_363,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_4_364,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_4_362,refute_4_363]) ).
cnf(refute_4_365,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_4_366,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_364,refute_4_365]) ).
cnf(refute_4_367,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_4_361,refute_4_366]) ).
cnf(refute_4_368,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_4_83]) ).
cnf(refute_4_369,plain,
( op2(e22,e21) != e23
| op2(e22,e22) != e23
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_4_370,plain,
( op2(e22,e21) != e23
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_369]) ).
cnf(refute_4_371,plain,
op2(e22,e21) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_4_370,refute_4_368]) ).
cnf(refute_4_372,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_4_367,refute_4_371]) ).
cnf(refute_4_373,plain,
( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_4_374,plain,
( op2(e23,e20) != e23
| h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_4_372,refute_4_373]) ).
cnf(refute_4_375,plain,
( op2(e23,e20) != e23
| h2(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_4_374,refute_4_338]) ).
cnf(refute_4_376,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_4_84]) ).
cnf(refute_4_377,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_4_378,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_364,refute_4_377]) ).
cnf(refute_4_379,plain,
h2(e13) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_4_378,refute_4_376]) ).
cnf(refute_4_380,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_4_85]) ).
cnf(refute_4_381,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_4_382,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_4_28,refute_4_381]) ).
cnf(refute_4_383,plain,
( h3(e11) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_4_380,refute_4_382]) ).
cnf(refute_4_384,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_4_385,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_85,refute_4_384]) ).
cnf(refute_4_386,plain,
( h3(e11) = e23
| h4(e13) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_4_383,refute_4_385]) ).
cnf(refute_4_387,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_4_86]) ).
cnf(refute_4_388,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_4_389,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_388]) ).
cnf(refute_4_390,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_4_389,refute_4_387]) ).
cnf(refute_4_391,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_4_392,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_4_391,refute_4_390]) ).
cnf(refute_4_393,plain,
( h3(e11) = e23
| h4(e13) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_4_386,refute_4_392]) ).
cnf(refute_4_394,plain,
( h3(e11) != e21
| h3(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_4_395,plain,
( h3(e11) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_4_43,refute_4_394]) ).
cnf(refute_4_396,plain,
( e21 = e23
| h4(e13) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_4_393,refute_4_395]) ).
cnf(refute_4_397,plain,
( h4(e13) != e20
| h4(e13) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e20)]]) ).
cnf(refute_4_398,plain,
( h4(e13) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_4_104,refute_4_397]) ).
cnf(refute_4_399,plain,
( e20 = e23
| e21 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_4_396,refute_4_398]) ).
cnf(refute_4_400,plain,
e20 != e23,
inference(canonicalize,[],[normalize_4_87]) ).
cnf(refute_4_401,plain,
( e21 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_399,refute_4_400]) ).
cnf(refute_4_402,plain,
e21 != e23,
inference(canonicalize,[],[normalize_4_88]) ).
cnf(refute_4_403,plain,
op2(e21,e23) = e23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_401,refute_4_402]) ).
cnf(refute_4_404,plain,
( h2(e13) != e23
| op2(e21,e23) != e23
| h2(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_4_405,plain,
( h2(e13) != e23
| h2(e13) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_4_403,refute_4_404]) ).
cnf(refute_4_406,plain,
h2(e13) != e23,
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e23)) )],[refute_4_405,refute_4_379]) ).
cnf(refute_4_407,plain,
( op2(e23,e20) != e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_4_375,refute_4_406]) ).
cnf(refute_4_408,plain,
( e23 != e23
| op2(e23,e20) != e23
| op2(e23,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_4_409,plain,
( e23 != e23
| op2(e21,e20) = e21
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_4_344,refute_4_408]) ).
cnf(refute_4_410,plain,
( e23 != e23
| op2(e20,e21) = e23
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_4_409,refute_4_407]) ).
cnf(refute_4_411,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_4_412,plain,
( op2(e20,e21) = e23
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_411,refute_4_410]) ).
cnf(refute_4_413,plain,
( e21 != e21
| op2(e21,e20) != e21
| op2(e21,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_4_414,plain,
( e21 != e21
| op2(e20,e21) = e23
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_4_412,refute_4_413]) ).
cnf(refute_4_415,plain,
( e21 != e21
| op2(e20,e21) = e23
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_4_414,refute_4_360]) ).
cnf(refute_4_416,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_4_417,plain,
( op2(e20,e21) = e23
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_416,refute_4_415]) ).
cnf(refute_4_418,plain,
( op2(e20,e21) != e20
| op2(e20,e22) != e20
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_4_419,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = e23
| op2(e20,e21) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_417,refute_4_418]) ).
cnf(refute_4_420,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_4_419,refute_4_349]) ).
cnf(refute_4_421,plain,
( op2(e20,e21) != e20
| op2(e20,e21) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e20)]]) ).
cnf(refute_4_422,plain,
( op2(e20,e21) != e20
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_420,refute_4_421]) ).
cnf(refute_4_423,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_422,refute_4_400]) ).
cnf(refute_4_424,plain,
( op2(e21,e22) != e21
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_4_348,refute_4_423]) ).
cnf(refute_4_425,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_4_89]) ).
cnf(refute_4_426,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_4_427,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_426]) ).
cnf(refute_4_428,plain,
( e23 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_4_425,refute_4_427]) ).
cnf(refute_4_429,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_4_430,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_429,refute_4_402]) ).
cnf(refute_4_431,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_4_428,refute_4_430]) ).
cnf(refute_4_432,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_4_90]) ).
cnf(refute_4_433,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e23) != h3(e11)
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_4_434,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_4_28,refute_4_433]) ).
cnf(refute_4_435,plain,
op2(e20,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_4_434,refute_4_432]) ).
cnf(refute_4_436,plain,
( h3(e11) != e21
| op2(e20,e22) != e21
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_4_437,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_4_43,refute_4_436]) ).
cnf(refute_4_438,plain,
op2(e20,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_4_437,refute_4_435]) ).
cnf(refute_4_439,plain,
( op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_431,refute_4_438]) ).
cnf(refute_4_440,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_4_91]) ).
cnf(refute_4_441,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_4_442,plain,
( op2(e22,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_441]) ).
cnf(refute_4_443,plain,
( e23 = e22
| op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_4_440,refute_4_442]) ).
cnf(refute_4_444,plain,
e22 != e23,
inference(canonicalize,[],[normalize_4_92]) ).
cnf(refute_4_445,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_4_446,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_445,refute_4_444]) ).
cnf(refute_4_447,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_4_443,refute_4_446]) ).
cnf(refute_4_448,plain,
( op2(e23,e22) != e21
| op2(e23,e22) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e21) ),[0],$fot(e22)]]) ).
cnf(refute_4_449,plain,
( op2(e23,e22) != e21
| e22 = e21
| op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_4_447,refute_4_448]) ).
cnf(refute_4_450,plain,
( e22 = e21
| op2(e20,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_4_439,refute_4_449]) ).
cnf(refute_4_451,plain,
e21 != e22,
inference(canonicalize,[],[normalize_4_93]) ).
cnf(refute_4_452,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_4_453,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_452,refute_4_451]) ).
cnf(refute_4_454,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_4_450,refute_4_453]) ).
cnf(refute_4_455,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_4_94]) ).
cnf(refute_4_456,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_4_96]) ).
cnf(refute_4_457,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_4_97]) ).
cnf(refute_4_458,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_4_459,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_458]) ).
cnf(refute_4_460,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_4_459,refute_4_457]) ).
cnf(refute_4_461,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_4_456,refute_4_460]) ).
cnf(refute_4_462,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_461,refute_4_438]) ).
cnf(refute_4_463,plain,
( e22 != op2(e23,e22)
| op2(e20,e22) != e22
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_4_464,plain,
( e22 != op2(e23,e22)
| op2(e20,e22) = e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_4_462,refute_4_463]) ).
cnf(refute_4_465,plain,
( e22 != op2(e23,e22)
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_4_464,refute_4_455]) ).
cnf(refute_4_466,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_4_98]) ).
cnf(refute_4_467,plain,
( e21 != op2(e23,e22)
| op2(e21,e22) != e21
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_4_468,plain,
( e21 != op2(e23,e22)
| op2(e20,e22) = e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_357,refute_4_467]) ).
cnf(refute_4_469,plain,
( e21 != op2(e23,e22)
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_4_468,refute_4_466]) ).
cnf(refute_4_470,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_4_99]) ).
cnf(refute_4_471,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_4_470,refute_4_356]) ).
cnf(refute_4_472,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_4_100]) ).
cnf(refute_4_473,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_4_474,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_85,refute_4_473]) ).
cnf(refute_4_475,plain,
op2(e23,e22) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_4_474,refute_4_472]) ).
cnf(refute_4_476,plain,
( h4(e13) != e20
| op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_4_477,plain,
( op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_4_104,refute_4_476]) ).
cnf(refute_4_478,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),h4(e13)) )],[refute_4_477,refute_4_475]) ).
cnf(refute_4_479,plain,
( op2(e23,e22) = e21
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_4_471,refute_4_478]) ).
cnf(refute_4_480,plain,
( e21 != e21
| op2(e23,e22) != e21
| e21 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e23,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_4_481,plain,
( e21 != e21
| e21 = op2(e23,e22)
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_4_479,refute_4_480]) ).
cnf(refute_4_482,plain,
( e21 != e21
| op2(e20,e22) = e20
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e22)) )],[refute_4_481,refute_4_469]) ).
cnf(refute_4_483,plain,
( op2(e20,e22) = e20
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_416,refute_4_482]) ).
cnf(refute_4_484,plain,
( e22 != e22
| op2(e23,e22) != e22
| e22 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_4_485,plain,
( e22 != e22
| e22 = op2(e23,e22)
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_4_483,refute_4_484]) ).
cnf(refute_4_486,plain,
( e22 != e22
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e22)) )],[refute_4_485,refute_4_465]) ).
cnf(refute_4_487,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_4_488,plain,
op2(e20,e22) = e20,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_487,refute_4_486]) ).
cnf(refute_4_489,plain,
( op2(e20,e22) != e20
| op2(e20,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_4_490,plain,
( op2(e20,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_488,refute_4_489]) ).
cnf(refute_4_491,plain,
( e20 = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_4_454,refute_4_490]) ).
cnf(refute_4_492,plain,
e20 != e22,
inference(canonicalize,[],[normalize_4_101]) ).
cnf(refute_4_493,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_4_491,refute_4_492]) ).
cnf(refute_4_494,plain,
( e21 != e21
| op2(e21,e22) != e21
| op2(e21,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_4_495,plain,
( e21 != e21
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_493,refute_4_494]) ).
cnf(refute_4_496,plain,
( e21 != e21
| op2(e21,e22) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_495,refute_4_424]) ).
cnf(refute_4_497,plain,
( op2(e21,e22) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_416,refute_4_496]) ).
cnf(refute_4_498,plain,
( e23 != e23
| op2(e23,e21) != e23
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_4_499,plain,
( e23 != e23
| e23 = op2(e23,e21)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_4_497,refute_4_498]) ).
cnf(refute_4_500,plain,
( e23 != e23
| op2(e21,e20) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_4_499,refute_4_347]) ).
cnf(refute_4_501,plain,
( op2(e21,e20) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_411,refute_4_500]) ).
cnf(refute_4_502,plain,
( op2(e21,e20) != e22
| op2(e21,e22) != e22
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_4_503,plain,
( op2(e21,e20) != e22
| op2(e21,e20) = e21
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_4_501,refute_4_502]) ).
cnf(refute_4_504,plain,
( op2(e21,e20) != e22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_4_503,refute_4_337]) ).
cnf(refute_4_505,plain,
( op2(e21,e20) != e21
| op2(e21,e20) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0],$fot(e22)]]) ).
cnf(refute_4_506,plain,
( op2(e21,e20) != e22
| e22 = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_4_504,refute_4_505]) ).
cnf(refute_4_507,plain,
op2(e21,e20) != e22,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_4_506,refute_4_453]) ).
cnf(refute_4_508,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(canonicalize,[],[normalize_4_102]) ).
cnf(refute_4_509,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_4_510,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_64,refute_4_509]) ).
cnf(refute_4_511,plain,
( h1(e13) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_4_508,refute_4_510]) ).
cnf(refute_4_512,plain,
( h1(e13) = e22
| op2(e21,e20) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_4_511,refute_4_343]) ).
cnf(refute_4_513,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_4_103]) ).
cnf(refute_4_514,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_4_515,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_64,refute_4_514]) ).
cnf(refute_4_516,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_4_513,refute_4_515]) ).
cnf(refute_4_517,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_4_104]) ).
cnf(refute_4_518,plain,
( op2(e22,e20) != e23
| op2(e22,e22) != e23
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_4_519,plain,
( op2(e22,e20) != e23
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_518]) ).
cnf(refute_4_520,plain,
op2(e22,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_4_519,refute_4_517]) ).
cnf(refute_4_521,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_4_516,refute_4_520]) ).
cnf(refute_4_522,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_4_105]) ).
cnf(refute_4_523,plain,
( op2(e21,e20) != e23
| op2(e23,e20) != e23
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_4_524,plain,
( op2(e21,e20) != e23
| op2(e21,e20) = e21
| op2(e21,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_4_344,refute_4_523]) ).
cnf(refute_4_525,plain,
( op2(e21,e20) != e23
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_4_524,refute_4_522]) ).
cnf(refute_4_526,plain,
( op2(e21,e20) != e21
| op2(e21,e20) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0],$fot(e23)]]) ).
cnf(refute_4_527,plain,
( op2(e21,e20) != e23
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_4_525,refute_4_526]) ).
cnf(refute_4_528,plain,
op2(e21,e20) != e23,
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_4_527,refute_4_430]) ).
cnf(refute_4_529,plain,
( h1(e13) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_4_521,refute_4_528]) ).
cnf(refute_4_530,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[0],$fot(e23)]]) ).
cnf(refute_4_531,plain,
( op2(e23,e20) != e22
| e23 = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_4_529,refute_4_530]) ).
cnf(refute_4_532,plain,
( e23 = e22
| h1(e13) = e22
| h1(e13) = e23
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_4_512,refute_4_531]) ).
cnf(refute_4_533,plain,
( h1(e13) = e22
| h1(e13) = e23
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_4_532,refute_4_446]) ).
cnf(refute_4_534,plain,
( e22 != e22
| op2(e21,e20) != e22
| op2(e21,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e22) ),[1],$fot(e22)]]) ).
cnf(refute_4_535,plain,
( e22 != e22
| h1(e13) = e22
| h1(e13) = e23
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_4_533,refute_4_534]) ).
cnf(refute_4_536,plain,
( e22 != e22
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_4_535,refute_4_507]) ).
cnf(refute_4_537,plain,
( h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_4_487,refute_4_536]) ).
cnf(refute_4_538,plain,
( h1(e13) != e23
| h1(e13) != op2(h1(e13),e23)
| h1(e13) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_4_539,plain,
( h1(e13) != op2(h1(e13),e23)
| h1(e13) = e22
| h1(e13) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_4_537,refute_4_538]) ).
cnf(refute_4_540,plain,
( h1(e13) = e22
| h1(e13) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) )],[refute_4_336,refute_4_539]) ).
cnf(refute_4_541,plain,
( h1(e13) != op2(e23,e23)
| op2(e23,e23) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),e20) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_4_542,plain,
( h1(e13) != op2(e23,e23)
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_107,refute_4_541]) ).
cnf(refute_4_543,plain,
( h1(e13) = e20
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e23)) )],[refute_4_540,refute_4_542]) ).
cnf(refute_4_544,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_4_106]) ).
cnf(refute_4_545,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_4_546,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_64,refute_4_545]) ).
cnf(refute_4_547,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_4_546,refute_4_544]) ).
cnf(refute_4_548,plain,
( h1(e13) != e20
| op2(e20,e22) != e20
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_4_549,plain,
( h1(e13) != e20
| h1(e13) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_488,refute_4_548]) ).
cnf(refute_4_550,plain,
h1(e13) != e20,
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_4_549,refute_4_547]) ).
cnf(refute_4_551,plain,
h1(e13) = e22,
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_4_543,refute_4_550]) ).
cnf(refute_4_552,plain,
op2(e22,h1(e13)) = op2(e22,h1(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h1(e13)))]]) ).
cnf(refute_4_553,plain,
( h1(e13) != e22
| op2(e22,h1(e13)) != op2(e22,h1(e13))
| op2(e22,h1(e13)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h1(e13)),op2(e22,h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_4_554,plain,
( h1(e13) != e22
| op2(e22,h1(e13)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h1(e13)),op2(e22,h1(e13))) )],[refute_4_552,refute_4_553]) ).
cnf(refute_4_555,plain,
op2(e22,h1(e13)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_4_551,refute_4_554]) ).
cnf(refute_4_556,plain,
op2(h1(e13),h1(e13)) = op2(h1(e13),h1(e13)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h1(e13)))]]) ).
cnf(refute_4_557,plain,
( h1(e13) != e22
| op2(h1(e13),h1(e13)) != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) = op2(e22,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(h1(e13),h1(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_4_558,plain,
( h1(e13) != e22
| op2(h1(e13),h1(e13)) = op2(e22,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(h1(e13),h1(e13))) )],[refute_4_556,refute_4_557]) ).
cnf(refute_4_559,plain,
op2(h1(e13),h1(e13)) = op2(e22,h1(e13)),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_4_551,refute_4_558]) ).
cnf(refute_4_560,plain,
( op2(e22,h1(e13)) != op2(e22,e22)
| op2(h1(e13),h1(e13)) != op2(e22,h1(e13))
| op2(h1(e13),h1(e13)) = op2(e22,e22) ),
inference(subst,[],[refute_4_20:[bind(X,$fot(op2(h1(e13),h1(e13)))),bind(Y,$fot(op2(e22,h1(e13)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_4_561,plain,
( op2(e22,h1(e13)) != op2(e22,e22)
| op2(h1(e13),h1(e13)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(e22,h1(e13))) )],[refute_4_559,refute_4_560]) ).
cnf(refute_4_562,plain,
op2(h1(e13),h1(e13)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,h1(e13)),op2(e22,e22)) )],[refute_4_555,refute_4_561]) ).
cnf(refute_4_563,plain,
( op2(e22,e22) != e23
| op2(h1(e13),h1(e13)) != op2(e22,e22)
| op2(h1(e13),h1(e13)) = e23 ),
inference(subst,[],[refute_4_20:[bind(X,$fot(op2(h1(e13),h1(e13)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(e23))]]) ).
cnf(refute_4_564,plain,
( op2(e22,e22) != e23
| op2(h1(e13),h1(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(e22,e22)) )],[refute_4_562,refute_4_563]) ).
cnf(refute_4_565,plain,
op2(h1(e13),h1(e13)) = e23,
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_564]) ).
cnf(refute_4_566,plain,
( e20 != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e23) ),[0],$fot(op2(h1(e13),h1(e13)))]]) ).
cnf(refute_4_567,plain,
( e20 != op2(h1(e13),h1(e13))
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),e23) )],[refute_4_565,refute_4_566]) ).
cnf(refute_4_568,plain,
e20 = e23,
inference(resolve,[$cnf( $equal(e20,op2(h1(e13),h1(e13))) )],[refute_4_251,refute_4_567]) ).
cnf(refute_4_569,plain,
( e20 != e23
| e23 = e20 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e20)),bind(Y,$fot(e23))]]) ).
cnf(refute_4_570,plain,
e23 = e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_568,refute_4_569]) ).
cnf(refute_4_571,plain,
op2(e22,e23) = op2(e22,e23),
introduced(tautology,[refl,[$fot(op2(e22,e23))]]) ).
cnf(refute_4_572,plain,
( e23 != e20
| op2(e22,e23) != op2(e22,e23)
| op2(e22,e23) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),op2(e22,e23)) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_573,plain,
( e23 != e20
| op2(e22,e23) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e22,e23)) )],[refute_4_571,refute_4_572]) ).
cnf(refute_4_574,plain,
op2(e22,e23) = op2(e22,e20),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_4_570,refute_4_573]) ).
cnf(refute_4_575,plain,
( op2(e22,e23) != e22
| op2(e22,e23) != op2(e22,e20)
| op2(e22,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e22) ),[0],$fot(op2(e22,e20))]]) ).
cnf(refute_4_576,plain,
( op2(e22,e23) != e22
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e22,e20)) )],[refute_4_574,refute_4_575]) ).
cnf(refute_4_577,plain,
op2(e22,e20) = e22,
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_4_60,refute_4_576]) ).
cnf(refute_4_578,plain,
op2(e21,e23) = op2(e21,e23),
introduced(tautology,[refl,[$fot(op2(e21,e23))]]) ).
cnf(refute_4_579,plain,
( e23 != e20
| op2(e21,e23) != op2(e21,e23)
| op2(e21,e23) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),op2(e21,e23)) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_580,plain,
( e23 != e20
| op2(e21,e23) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e21,e23)) )],[refute_4_578,refute_4_579]) ).
cnf(refute_4_581,plain,
op2(e21,e23) = op2(e21,e20),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_4_570,refute_4_580]) ).
cnf(refute_4_582,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != op2(e21,e20)
| op2(e21,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(op2(e21,e20))]]) ).
cnf(refute_4_583,plain,
( op2(e21,e23) != e23
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e21,e20)) )],[refute_4_581,refute_4_582]) ).
cnf(refute_4_584,plain,
( e23 != e20
| op2(e21,e20) != e23
| op2(e21,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[1],$fot(e20)]]) ).
cnf(refute_4_585,plain,
( op2(e21,e20) != e23
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_4_570,refute_4_584]) ).
cnf(refute_4_586,plain,
( op2(e21,e23) != e23
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_4_583,refute_4_585]) ).
cnf(refute_4_587,plain,
op2(e21,e20) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_4_403,refute_4_586]) ).
cnf(refute_4_588,plain,
( h3(e11) != e21
| h3(e11) != op2(e20,e23)
| e21 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),op2(e20,e23)) ),[0],$fot(e21)]]) ).
cnf(refute_4_589,plain,
( h3(e11) != op2(e20,e23)
| e21 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_4_43,refute_4_588]) ).
cnf(refute_4_590,plain,
e21 = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_4_26,refute_4_589]) ).
cnf(refute_4_591,plain,
( h1(e13) != e22
| h1(e13) != op2(e20,e20)
| e22 = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(e20,e20)) ),[0],$fot(e22)]]) ).
cnf(refute_4_592,plain,
( h1(e13) != op2(e20,e20)
| e22 = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_4_551,refute_4_591]) ).
cnf(refute_4_593,plain,
e22 = op2(e20,e20),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_4_62,refute_4_592]) ).
cnf(refute_4_594,plain,
( e22 != op2(e20,e20)
| op2(e20,e20) = e22 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_4_595,plain,
op2(e20,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e20)) )],[refute_4_593,refute_4_594]) ).
cnf(refute_4_596,plain,
op2(e20,e23) = op2(e20,e23),
introduced(tautology,[refl,[$fot(op2(e20,e23))]]) ).
cnf(refute_4_597,plain,
( e23 != e20
| op2(e20,e23) != op2(e20,e23)
| op2(e20,e23) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),op2(e20,e23)) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_598,plain,
( e23 != e20
| op2(e20,e23) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e20,e23)) )],[refute_4_596,refute_4_597]) ).
cnf(refute_4_599,plain,
op2(e20,e23) = op2(e20,e20),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_4_570,refute_4_598]) ).
cnf(refute_4_600,plain,
( op2(e20,e20) != e22
| op2(e20,e23) != op2(e20,e20)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_4_20:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e22))]]) ).
cnf(refute_4_601,plain,
( op2(e20,e20) != e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e20,e20)) )],[refute_4_599,refute_4_600]) ).
cnf(refute_4_602,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_4_595,refute_4_601]) ).
cnf(refute_4_603,plain,
( e21 != op2(e20,e23)
| op2(e20,e23) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e22) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_4_604,plain,
( e21 != op2(e20,e23)
| e21 = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_4_602,refute_4_603]) ).
cnf(refute_4_605,plain,
e21 = e22,
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_4_590,refute_4_604]) ).
cnf(refute_4_606,plain,
( e21 != e22
| e22 = e21 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e21)),bind(Y,$fot(e22))]]) ).
cnf(refute_4_607,plain,
e22 = e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_605,refute_4_606]) ).
cnf(refute_4_608,plain,
op2(e22,e20) = op2(e22,e20),
introduced(tautology,[refl,[$fot(op2(e22,e20))]]) ).
cnf(refute_4_609,plain,
( e22 != e21
| op2(e22,e20) != op2(e22,e20)
| op2(e22,e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),op2(e22,e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_4_610,plain,
( e22 != e21
| op2(e22,e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e20)) )],[refute_4_608,refute_4_609]) ).
cnf(refute_4_611,plain,
op2(e22,e20) = op2(e21,e20),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_4_607,refute_4_610]) ).
cnf(refute_4_612,plain,
( op2(e21,e20) != e20
| op2(e22,e20) != op2(e21,e20)
| op2(e22,e20) = e20 ),
inference(subst,[],[refute_4_20:[bind(X,$fot(op2(e22,e20))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(e20))]]) ).
cnf(refute_4_613,plain,
( op2(e21,e20) != e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e21,e20)) )],[refute_4_611,refute_4_612]) ).
cnf(refute_4_614,plain,
op2(e22,e20) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_4_587,refute_4_613]) ).
cnf(refute_4_615,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e20)]]) ).
cnf(refute_4_616,plain,
( op2(e22,e20) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_4_614,refute_4_615]) ).
cnf(refute_4_617,plain,
( e20 != e22
| e22 != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e21) ),[0],$fot(e22)]]) ).
cnf(refute_4_618,plain,
( e20 != e22
| e20 = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_4_607,refute_4_617]) ).
cnf(refute_4_619,plain,
( op2(e22,e20) != e22
| e20 = e21 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_4_616,refute_4_618]) ).
cnf(refute_4_620,plain,
e20 = e21,
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_4_577,refute_4_619]) ).
cnf(refute_4_621,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_4_620,refute_4_47]) ).
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,
( ( ( op1(e10,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) )
& ( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) )
& ( ( op1(e13,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e12,e13) = e12 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_5_1,plain,
( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) ),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_2,plain,
( ( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e11,e13) != e11 )
& ( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e13,e11) = e13 )
& ( op1(e11,e10) != e11
| op1(e11,e13) != e11
| op1(e12,e11) = e12 )
& ( op1(e11,e10) != e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e11,e12) != e11
| op1(e11,e13) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e12) != e11
| op1(e10,e11) = e10
| op1(e13,e11) = e13 )
& ( op1(e11,e13) != e11
| op1(e10,e11) = e10
| op1(e12,e11) = e12 )
& ( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ) ),
inference(clausify,[],[normalize_5_1]) ).
fof(normalize_5_3,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_5_2]) ).
fof(normalize_5_4,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_5,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_6,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_7,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_5_6]) ).
fof(normalize_5_8,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_5_9,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_5_8]) ).
fof(normalize_5_10,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(conjunct,[],[normalize_5_8]) ).
fof(normalize_5_11,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_5_8]) ).
fof(normalize_5_12,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_5_13,plain,
e11 != e13,
inference(conjunct,[],[normalize_5_12]) ).
fof(normalize_5_14,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_15,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_5_16,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_5_15]) ).
fof(normalize_5_17,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_5_18,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_5_17]) ).
fof(normalize_5_19,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_5_20,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_5_19]) ).
fof(normalize_5_21,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_14,normalize_5_16,normalize_5_18,normalize_5_20]) ).
fof(normalize_5_22,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_5_21]) ).
fof(normalize_5_23,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_5_15]) ).
fof(normalize_5_24,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_5_15]) ).
fof(normalize_5_25,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_5_26,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_5_25]) ).
fof(normalize_5_27,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_5_28,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_5_27]) ).
fof(normalize_5_29,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_5_25]) ).
fof(normalize_5_30,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_5_27]) ).
fof(normalize_5_31,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_5_21]) ).
fof(normalize_5_32,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_5_25]) ).
fof(normalize_5_33,plain,
( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_5_0]) ).
fof(normalize_5_34,plain,
( ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e12,e13) != e12 )
& ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e13,e12) = e13 )
& ( op1(e12,e10) != e12
| op1(e12,e13) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e10) != e12
| op1(e11,e12) = e11
| op1(e13,e12) = e13 )
& ( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e10,e12) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e12) = e10
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e12
| op1(e10,e12) = e10
| op1(e11,e12) = e11 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ) ),
inference(clausify,[],[normalize_5_33]) ).
fof(normalize_5_35,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_36,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_5_6]) ).
fof(normalize_5_37,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_38,plain,
e10 != e13,
inference(conjunct,[],[normalize_5_12]) ).
fof(normalize_5_39,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_5_6]) ).
fof(normalize_5_40,plain,
e10 != e11,
inference(conjunct,[],[normalize_5_12]) ).
fof(normalize_5_41,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_42,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(conjunct,[],[normalize_5_41]) ).
fof(normalize_5_43,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_5_19]) ).
fof(normalize_5_44,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_5_27]) ).
fof(normalize_5_45,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_5_46,plain,
e21 != e22,
inference(conjunct,[],[normalize_5_45]) ).
fof(normalize_5_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_5_48,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_5_47]) ).
fof(normalize_5_49,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_5_47]) ).
fof(normalize_5_50,plain,
( ( ( op2(e20,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) )
& ( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) )
& ( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_5_51,plain,
( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_5_50]) ).
fof(normalize_5_52,plain,
( ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e22,e23) != e22 )
& ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e23,e22) = e23 )
& ( op2(e22,e20) != e22
| op2(e22,e23) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e20) != e22
| op2(e21,e22) = e21
| op2(e23,e22) = e23 )
& ( op2(e22,e21) != e22
| op2(e22,e23) != e22
| op2(e20,e22) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e22) = e20
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e22
| op2(e20,e22) = e20
| op2(e21,e22) = e21 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ) ),
inference(clausify,[],[normalize_5_51]) ).
fof(normalize_5_53,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_5_52]) ).
fof(normalize_5_54,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_5_47]) ).
fof(normalize_5_55,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_56,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_5_55]) ).
fof(normalize_5_57,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_5_47]) ).
fof(normalize_5_58,plain,
e20 != e22,
inference(conjunct,[],[normalize_5_45]) ).
fof(normalize_5_59,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_5_41]) ).
fof(normalize_5_60,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_5_47]) ).
fof(normalize_5_61,plain,
e21 != e23,
inference(conjunct,[],[normalize_5_45]) ).
fof(normalize_5_62,plain,
e22 != e23,
inference(conjunct,[],[normalize_5_45]) ).
fof(normalize_5_63,plain,
e20 != e23,
inference(conjunct,[],[normalize_5_45]) ).
fof(normalize_5_64,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_65,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(conjunct,[],[normalize_5_64]) ).
fof(normalize_5_66,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_5_6]) ).
fof(normalize_5_67,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_5_6]) ).
fof(normalize_5_68,plain,
e12 != e13,
inference(conjunct,[],[normalize_5_12]) ).
fof(normalize_5_69,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_5_6]) ).
fof(normalize_5_70,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_5_64]) ).
fof(normalize_5_71,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_5_6]) ).
fof(normalize_5_72,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_5_6]) ).
fof(normalize_5_73,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_5_6]) ).
fof(normalize_5_74,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_5_6]) ).
cnf(refute_5_0,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_5_3]) ).
cnf(refute_5_1,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_5_5]) ).
cnf(refute_5_2,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_5_7]) ).
cnf(refute_5_3,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_5_9]) ).
cnf(refute_5_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_5_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_5_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_5_4,refute_5_5]) ).
cnf(refute_5_7,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_5_8,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_5_3,refute_5_7]) ).
cnf(refute_5_9,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_5_10,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_8,refute_5_9]) ).
cnf(refute_5_11,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_5_10,refute_5_2]) ).
cnf(refute_5_12,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_5_1,refute_5_11]) ).
cnf(refute_5_13,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(canonicalize,[],[normalize_5_10]) ).
cnf(refute_5_14,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_5_11]) ).
cnf(refute_5_15,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = e10 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e12,e12),op1(e12,e12))))]]) ).
cnf(refute_5_16,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_5_14,refute_5_15]) ).
cnf(refute_5_17,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_5_18,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_5_19,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_5_17,refute_5_18]) ).
cnf(refute_5_20,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e10) )],[refute_5_16,refute_5_19]) ).
cnf(refute_5_21,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(e10,op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,op1(e12,e12))) ),[0],$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_5_22,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_5_20,refute_5_21]) ).
cnf(refute_5_23,plain,
e11 = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(e11,op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_5_13,refute_5_22]) ).
cnf(refute_5_24,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_5_25,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_5_26,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_5_24,refute_5_25]) ).
cnf(refute_5_27,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_8,refute_5_26]) ).
cnf(refute_5_28,plain,
( e11 != op1(e10,op1(e12,e12))
| op1(e10,op1(e12,e12)) != op1(e10,e13)
| e11 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e13)) ),[0],$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_5_29,plain,
( e11 != op1(e10,op1(e12,e12))
| e11 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_5_27,refute_5_28]) ).
cnf(refute_5_30,plain,
e11 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e11,op1(e10,op1(e12,e12))) )],[refute_5_23,refute_5_29]) ).
cnf(refute_5_31,plain,
( e11 != op1(e10,e13)
| op1(e10,e13) = e11 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_5_32,plain,
op1(e10,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_5_30,refute_5_31]) ).
cnf(refute_5_33,plain,
( op1(e10,e13) != e11
| op1(e10,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_5_34,plain,
( op1(e10,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_5_32,refute_5_33]) ).
cnf(refute_5_35,plain,
( e11 = e13
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_5_12,refute_5_34]) ).
cnf(refute_5_36,plain,
e11 != e13,
inference(canonicalize,[],[normalize_5_13]) ).
cnf(refute_5_37,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_5_35,refute_5_36]) ).
cnf(refute_5_38,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_5_22]) ).
cnf(refute_5_39,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_5_23]) ).
cnf(refute_5_40,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_5_24]) ).
cnf(refute_5_41,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_5_42,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_5_40,refute_5_41]) ).
cnf(refute_5_43,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_5_44,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_5_45,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_5_43,refute_5_44]) ).
cnf(refute_5_46,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_42,refute_5_45]) ).
cnf(refute_5_47,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_5_48,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),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(e13))]]) ).
cnf(refute_5_49,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_5_47,refute_5_48]) ).
cnf(refute_5_50,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_42,refute_5_49]) ).
cnf(refute_5_51,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_5_52,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_5_6,refute_5_51]) ).
cnf(refute_5_53,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_5_52:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_5_54,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_5_50,refute_5_53]) ).
cnf(refute_5_55,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_5_46,refute_5_54]) ).
cnf(refute_5_56,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e10) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_5_57,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| h1(e10) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_5_55,refute_5_56]) ).
cnf(refute_5_58,plain,
h1(e10) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_5_39,refute_5_57]) ).
cnf(refute_5_59,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) = h1(e10) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_5_60,plain,
op2(h1(e13),h1(e13)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_5_58,refute_5_59]) ).
cnf(refute_5_61,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_5_26]) ).
cnf(refute_5_62,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_5_28]) ).
cnf(refute_5_63,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_5_29]) ).
cnf(refute_5_64,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_5_65,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_5_63,refute_5_64]) ).
cnf(refute_5_66,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_5_30]) ).
cnf(refute_5_67,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_5_68,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_5_66,refute_5_67]) ).
cnf(refute_5_69,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_5_70,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_71,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_5_69,refute_5_70]) ).
cnf(refute_5_72,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_68,refute_5_71]) ).
cnf(refute_5_73,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_5_74,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_5_75,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_5_73,refute_5_74]) ).
cnf(refute_5_76,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_68,refute_5_75]) ).
cnf(refute_5_77,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_5_52:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_5_78,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_5_76,refute_5_77]) ).
cnf(refute_5_79,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_5_72,refute_5_78]) ).
cnf(refute_5_80,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_5_52:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_5_81,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_5_79,refute_5_80]) ).
cnf(refute_5_82,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_65,refute_5_81]) ).
cnf(refute_5_83,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_5_84,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_5_82,refute_5_83]) ).
cnf(refute_5_85,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_5_62,refute_5_84]) ).
cnf(refute_5_86,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_5_87,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_5_85,refute_5_86]) ).
cnf(refute_5_88,plain,
( h4(e13) != e20
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_5_52:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_5_89,plain,
( h4(e13) != e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_65,refute_5_88]) ).
cnf(refute_5_90,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_5_87,refute_5_89]) ).
cnf(refute_5_91,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_5_92,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_5_93,plain,
( op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_5_91,refute_5_92]) ).
cnf(refute_5_94,plain,
op2(e20,op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_5_90,refute_5_93]) ).
cnf(refute_5_95,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_5_96,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,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(e20)]]) ).
cnf(refute_5_97,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_5_95,refute_5_96]) ).
cnf(refute_5_98,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_5_90,refute_5_97]) ).
cnf(refute_5_99,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(subst,[],[refute_5_52:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_5_100,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_5_98,refute_5_99]) ).
cnf(refute_5_101,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_5_94,refute_5_100]) ).
cnf(refute_5_102,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(subst,[],[refute_5_52:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_5_103,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_5_101,refute_5_102]) ).
cnf(refute_5_104,plain,
op2(op2(e23,e23),op2(e23,e23)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_42,refute_5_103]) ).
cnf(refute_5_105,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_5_106,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h1(e13)) )],[refute_5_104,refute_5_105]) ).
cnf(refute_5_107,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_5_61,refute_5_106]) ).
cnf(refute_5_108,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e10)))]]) ).
cnf(refute_5_109,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_5_110,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_5_108,refute_5_109]) ).
cnf(refute_5_111,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_5_107,refute_5_110]) ).
cnf(refute_5_112,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_5_113,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_5_114,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_5_112,refute_5_113]) ).
cnf(refute_5_115,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_5_107,refute_5_114]) ).
cnf(refute_5_116,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_5_52:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h4(e10)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_5_117,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_5_115,refute_5_116]) ).
cnf(refute_5_118,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_5_111,refute_5_117]) ).
cnf(refute_5_119,plain,
( op2(h1(e13),h1(e13)) != h1(e10)
| op2(h4(e10),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = h1(e10) ),
inference(subst,[],[refute_5_52:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h1(e13)))),bind(Z,$fot(h1(e10)))]]) ).
cnf(refute_5_120,plain,
( op2(h1(e13),h1(e13)) != h1(e10)
| op2(h4(e10),h4(e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_5_118,refute_5_119]) ).
cnf(refute_5_121,plain,
op2(h4(e10),h4(e10)) = h1(e10),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),h1(e10)) )],[refute_5_60,refute_5_120]) ).
cnf(refute_5_122,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e10)
| h4(op1(e10,e10)) = h1(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e10)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_5_123,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e10)) )],[refute_5_121,refute_5_122]) ).
cnf(refute_5_124,plain,
h4(op1(e10,e10)) = h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_5_38,refute_5_123]) ).
cnf(refute_5_125,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_5_31]) ).
cnf(refute_5_126,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_5_32]) ).
cnf(refute_5_127,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e12)))]]) ).
cnf(refute_5_128,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_129,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_5_127,refute_5_128]) ).
cnf(refute_5_130,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_5_126,refute_5_129]) ).
cnf(refute_5_131,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_5_132,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_5_133,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_5_131,refute_5_132]) ).
cnf(refute_5_134,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_5_107,refute_5_133]) ).
cnf(refute_5_135,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(subst,[],[refute_5_52:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),h4(e12)))),bind(Z,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_5_136,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_5_134,refute_5_135]) ).
cnf(refute_5_137,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),e23)) )],[refute_5_130,refute_5_136]) ).
cnf(refute_5_138,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h1(e13),e23)
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_5_139,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),e23)) )],[refute_5_137,refute_5_138]) ).
cnf(refute_5_140,plain,
h4(op1(e10,e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_5_125,refute_5_139]) ).
cnf(refute_5_141,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_5_35]) ).
cnf(refute_5_142,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_5_36]) ).
cnf(refute_5_143,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_5_144,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_8,refute_5_143]) ).
cnf(refute_5_145,plain,
e13 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_5_144,refute_5_142]) ).
cnf(refute_5_146,plain,
( op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).
cnf(refute_5_147,plain,
op1(e13,e12) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_5_146,refute_5_145]) ).
cnf(refute_5_148,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_5_141,refute_5_147]) ).
cnf(refute_5_149,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(canonicalize,[],[normalize_5_37]) ).
cnf(refute_5_150,plain,
( op1(e12,e12) != e10
| op1(e12,e12) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).
cnf(refute_5_151,plain,
( op1(e12,e12) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_8,refute_5_150]) ).
cnf(refute_5_152,plain,
( e13 = e10
| op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_5_149,refute_5_151]) ).
cnf(refute_5_153,plain,
e10 != e13,
inference(canonicalize,[],[normalize_5_38]) ).
cnf(refute_5_154,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_5_155,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_5_154,refute_5_153]) ).
cnf(refute_5_156,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_5_152,refute_5_155]) ).
cnf(refute_5_157,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_5_39]) ).
cnf(refute_5_158,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_5_159,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_5_160,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_5_158,refute_5_159]) ).
cnf(refute_5_161,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_8,refute_5_160]) ).
cnf(refute_5_162,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_5_163,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_5_164,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_5_162,refute_5_163]) ).
cnf(refute_5_165,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_8,refute_5_164]) ).
cnf(refute_5_166,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_5_52:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_5_167,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_5_165,refute_5_166]) ).
cnf(refute_5_168,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_5_161,refute_5_167]) ).
cnf(refute_5_169,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_5_170,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_5_168,refute_5_169]) ).
cnf(refute_5_171,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_5_14,refute_5_170]) ).
cnf(refute_5_172,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_5_173,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_5_171,refute_5_172]) ).
cnf(refute_5_174,plain,
( op1(e13,e12) != e10
| op1(e13,e13) != e10
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_5_175,plain,
( op1(e13,e12) != e10
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_5_173,refute_5_174]) ).
cnf(refute_5_176,plain,
op1(e13,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_5_175,refute_5_157]) ).
cnf(refute_5_177,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_5_156,refute_5_176]) ).
cnf(refute_5_178,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0],$fot(e10)]]) ).
cnf(refute_5_179,plain,
( op1(e11,e12) != e11
| e10 = e11
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_5_177,refute_5_178]) ).
cnf(refute_5_180,plain,
( e10 = e11
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_5_148,refute_5_179]) ).
cnf(refute_5_181,plain,
e10 != e11,
inference(canonicalize,[],[normalize_5_40]) ).
cnf(refute_5_182,plain,
op1(e10,e12) = e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_5_180,refute_5_181]) ).
cnf(refute_5_183,plain,
h4(op1(e10,e12)) = h4(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_5_184,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| op1(e10,e12) != e10
| h4(op1(e10,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_5_185,plain,
( op1(e10,e12) != e10
| h4(op1(e10,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_5_183,refute_5_184]) ).
cnf(refute_5_186,plain,
h4(op1(e10,e12)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_5_182,refute_5_185]) ).
cnf(refute_5_187,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) != h4(e10)
| h4(op1(e10,e12)) = h1(e13) ),
inference(subst,[],[refute_5_52:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_5_188,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e10)) )],[refute_5_186,refute_5_187]) ).
cnf(refute_5_189,plain,
h4(op1(e10,e12)) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_5_107,refute_5_188]) ).
cnf(refute_5_190,plain,
( h4(op1(e10,e12)) != h1(e13)
| h4(op1(e10,e12)) != op2(h1(e13),e23)
| h1(e13) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(h1(e13))]]) ).
cnf(refute_5_191,plain,
( h4(op1(e10,e12)) != op2(h1(e13),e23)
| h1(e13) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h1(e13)) )],[refute_5_189,refute_5_190]) ).
cnf(refute_5_192,plain,
h1(e13) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) )],[refute_5_140,refute_5_191]) ).
cnf(refute_5_193,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(canonicalize,[],[normalize_5_42]) ).
cnf(refute_5_194,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_5_195,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_42,refute_5_194]) ).
cnf(refute_5_196,plain,
( h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_5_193,refute_5_195]) ).
cnf(refute_5_197,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_5_43]) ).
cnf(refute_5_198,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_5_199,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_200,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_5_198,refute_5_199]) ).
cnf(refute_5_201,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_68,refute_5_200]) ).
cnf(refute_5_202,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = e20 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_5_203,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_5_62,refute_5_202]) ).
cnf(refute_5_204,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_5_205,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_206,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_5_204,refute_5_205]) ).
cnf(refute_5_207,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e20) )],[refute_5_203,refute_5_206]) ).
cnf(refute_5_208,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(subst,[],[refute_5_52:[bind(X,$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))),bind(Y,$fot(op2(e20,op2(e22,e22)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_5_209,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_5_207,refute_5_208]) ).
cnf(refute_5_210,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_5_201,refute_5_209]) ).
cnf(refute_5_211,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,e23)
| h3(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e20,e23)) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_5_212,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| h3(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,e23)) )],[refute_5_210,refute_5_211]) ).
cnf(refute_5_213,plain,
h3(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_5_197,refute_5_212]) ).
cnf(refute_5_214,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_5_215,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_5_213,refute_5_214]) ).
cnf(refute_5_216,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_5_217,plain,
( op2(e20,e23) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_5_215,refute_5_216]) ).
cnf(refute_5_218,plain,
( h1(e13) = e22
| h3(e11) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_5_196,refute_5_217]) ).
cnf(refute_5_219,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_5_44]) ).
cnf(refute_5_220,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,op2(e22,e22))) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_5_221,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_5_207,refute_5_220]) ).
cnf(refute_5_222,plain,
e21 = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(e21,op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_5_219,refute_5_221]) ).
cnf(refute_5_223,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(subst,[],[refute_5_52:[bind(X,$fot(op2(e20,op2(e22,e22)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_5_224,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_5_201,refute_5_223]) ).
cnf(refute_5_225,plain,
op2(e20,op2(e22,e22)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_5_215,refute_5_224]) ).
cnf(refute_5_226,plain,
( e21 != op2(e20,op2(e22,e22))
| op2(e20,op2(e22,e22)) != h3(e11)
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[0],$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_5_227,plain,
( e21 != op2(e20,op2(e22,e22))
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),h3(e11)) )],[refute_5_225,refute_5_226]) ).
cnf(refute_5_228,plain,
e21 = h3(e11),
inference(resolve,[$cnf( $equal(e21,op2(e20,op2(e22,e22))) )],[refute_5_222,refute_5_227]) ).
cnf(refute_5_229,plain,
( e21 != h3(e11)
| h3(e11) = e21 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e21)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_5_230,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_5_228,refute_5_229]) ).
cnf(refute_5_231,plain,
( h3(e11) != e21
| h3(e11) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[0],$fot(e21)]]) ).
cnf(refute_5_232,plain,
( h3(e11) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_5_230,refute_5_231]) ).
cnf(refute_5_233,plain,
( e21 = e22
| h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_5_218,refute_5_232]) ).
cnf(refute_5_234,plain,
e21 != e22,
inference(canonicalize,[],[normalize_5_46]) ).
cnf(refute_5_235,plain,
( h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_5_233,refute_5_234]) ).
cnf(refute_5_236,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_5_48]) ).
cnf(refute_5_237,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_5_49]) ).
cnf(refute_5_238,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_5_53]) ).
cnf(refute_5_239,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_5_54]) ).
cnf(refute_5_240,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_5_241,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_68,refute_5_240]) ).
cnf(refute_5_242,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_5_241,refute_5_239]) ).
cnf(refute_5_243,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_5_244,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_5_243,refute_5_242]) ).
cnf(refute_5_245,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_5_238,refute_5_244]) ).
cnf(refute_5_246,plain,
( e21 != op2(e23,e22)
| op2(e21,e22) != e21
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_5_247,plain,
( e21 != op2(e23,e22)
| op2(e20,e22) = e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_5_245,refute_5_246]) ).
cnf(refute_5_248,plain,
( e21 != op2(e23,e22)
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_5_247,refute_5_237]) ).
cnf(refute_5_249,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_5_56]) ).
cnf(refute_5_250,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_5_249,refute_5_244]) ).
cnf(refute_5_251,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_5_57]) ).
cnf(refute_5_252,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_5_253,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_65,refute_5_252]) ).
cnf(refute_5_254,plain,
op2(e23,e22) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_5_253,refute_5_251]) ).
cnf(refute_5_255,plain,
( h4(e13) != e20
| op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_5_256,plain,
( op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_5_87,refute_5_255]) ).
cnf(refute_5_257,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),h4(e13)) )],[refute_5_256,refute_5_254]) ).
cnf(refute_5_258,plain,
( op2(e23,e22) = e21
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_5_250,refute_5_257]) ).
cnf(refute_5_259,plain,
( e21 != e21
| op2(e23,e22) != e21
| e21 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e23,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_5_260,plain,
( e21 != e21
| e21 = op2(e23,e22)
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_5_258,refute_5_259]) ).
cnf(refute_5_261,plain,
( e21 != e21
| op2(e20,e22) = e20
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e22)) )],[refute_5_260,refute_5_248]) ).
cnf(refute_5_262,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_5_263,plain,
( op2(e20,e22) = e20
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_5_262,refute_5_261]) ).
cnf(refute_5_264,plain,
( op2(e20,e22) != e22
| op2(e23,e22) != e22
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_5_265,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_5_263,refute_5_264]) ).
cnf(refute_5_266,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_5_265,refute_5_236]) ).
cnf(refute_5_267,plain,
( op2(e20,e22) != e20
| op2(e20,e22) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0],$fot(e22)]]) ).
cnf(refute_5_268,plain,
( op2(e20,e22) != e22
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_5_266,refute_5_267]) ).
cnf(refute_5_269,plain,
e20 != e22,
inference(canonicalize,[],[normalize_5_58]) ).
cnf(refute_5_270,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_5_271,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_5_270,refute_5_269]) ).
cnf(refute_5_272,plain,
op2(e20,e22) != e22,
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_5_268,refute_5_271]) ).
cnf(refute_5_273,plain,
( h1(e13) = e22
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_5_235,refute_5_272]) ).
cnf(refute_5_274,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_5_59]) ).
cnf(refute_5_275,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_5_276,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_42,refute_5_275]) ).
cnf(refute_5_277,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_5_274,refute_5_276]) ).
cnf(refute_5_278,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_5_279,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_5_215,refute_5_278]) ).
cnf(refute_5_280,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_5_277,refute_5_279]) ).
cnf(refute_5_281,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_5_60]) ).
cnf(refute_5_282,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_5_283,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_68,refute_5_282]) ).
cnf(refute_5_284,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_5_283,refute_5_281]) ).
cnf(refute_5_285,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_5_280,refute_5_284]) ).
cnf(refute_5_286,plain,
( h3(e11) != e21
| h3(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_5_287,plain,
( h3(e11) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_5_230,refute_5_286]) ).
cnf(refute_5_288,plain,
( e21 = e23
| h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_5_285,refute_5_287]) ).
cnf(refute_5_289,plain,
e21 != e23,
inference(canonicalize,[],[normalize_5_61]) ).
cnf(refute_5_290,plain,
( h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_5_288,refute_5_289]) ).
cnf(refute_5_291,plain,
( op2(e20,e21) != e22
| op2(e20,e21) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[0],$fot(e23)]]) ).
cnf(refute_5_292,plain,
( op2(e20,e21) != e22
| e23 = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_5_290,refute_5_291]) ).
cnf(refute_5_293,plain,
( e23 = e22
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_5_273,refute_5_292]) ).
cnf(refute_5_294,plain,
e22 != e23,
inference(canonicalize,[],[normalize_5_62]) ).
cnf(refute_5_295,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_5_296,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_5_295,refute_5_294]) ).
cnf(refute_5_297,plain,
( h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_5_293,refute_5_296]) ).
cnf(refute_5_298,plain,
( h1(e13) != e23
| h1(e13) != op2(h1(e13),e23)
| h1(e13) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_5_299,plain,
( h1(e13) != op2(h1(e13),e23)
| h1(e13) = e22
| h1(e13) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_5_297,refute_5_298]) ).
cnf(refute_5_300,plain,
( h1(e13) = e22
| h1(e13) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) )],[refute_5_192,refute_5_299]) ).
cnf(refute_5_301,plain,
( h1(e13) != op2(e23,e23)
| op2(e23,e23) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),e20) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_5_302,plain,
( h1(e13) != op2(e23,e23)
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_5_90,refute_5_301]) ).
cnf(refute_5_303,plain,
( h1(e13) = e20
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e23)) )],[refute_5_300,refute_5_302]) ).
cnf(refute_5_304,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e13) != e22
| h1(e10) = op2(e22,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_5_305,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e10) = op2(e22,h1(e13))
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_5_303,refute_5_304]) ).
cnf(refute_5_306,plain,
( h1(e10) = op2(e22,h1(e13))
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_5_58,refute_5_305]) ).
cnf(refute_5_307,plain,
( h1(e13) != e20
| h1(e13) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[0],$fot(e20)]]) ).
cnf(refute_5_308,plain,
( h1(e13) != e23
| e20 = e23
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_5_303,refute_5_307]) ).
cnf(refute_5_309,plain,
( e20 = e23
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_5_297,refute_5_308]) ).
cnf(refute_5_310,plain,
e20 != e23,
inference(canonicalize,[],[normalize_5_63]) ).
cnf(refute_5_311,plain,
h1(e13) = e22,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_5_309,refute_5_310]) ).
cnf(refute_5_312,plain,
op2(e22,h1(e13)) = op2(e22,h1(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h1(e13)))]]) ).
cnf(refute_5_313,plain,
( h1(e13) != e22
| op2(e22,h1(e13)) != op2(e22,h1(e13))
| op2(e22,h1(e13)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h1(e13)),op2(e22,h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_5_314,plain,
( h1(e13) != e22
| op2(e22,h1(e13)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h1(e13)),op2(e22,h1(e13))) )],[refute_5_312,refute_5_313]) ).
cnf(refute_5_315,plain,
op2(e22,h1(e13)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_5_311,refute_5_314]) ).
cnf(refute_5_316,plain,
( op2(e22,e22) != e23
| op2(e22,h1(e13)) != op2(e22,e22)
| op2(e22,h1(e13)) = e23 ),
inference(subst,[],[refute_5_52:[bind(X,$fot(op2(e22,h1(e13)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(e23))]]) ).
cnf(refute_5_317,plain,
( op2(e22,e22) != e23
| op2(e22,h1(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,h1(e13)),op2(e22,e22)) )],[refute_5_315,refute_5_316]) ).
cnf(refute_5_318,plain,
op2(e22,h1(e13)) = e23,
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_68,refute_5_317]) ).
cnf(refute_5_319,plain,
( h1(e10) != op2(e22,h1(e13))
| op2(e22,h1(e13)) != e23
| h1(e10) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e23) ),[0],$fot(op2(e22,h1(e13)))]]) ).
cnf(refute_5_320,plain,
( h1(e10) != op2(e22,h1(e13))
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,h1(e13)),e23) )],[refute_5_318,refute_5_319]) ).
cnf(refute_5_321,plain,
( h1(e10) = e23
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e22,h1(e13))) )],[refute_5_306,refute_5_320]) ).
cnf(refute_5_322,plain,
( h1(e13) != e20
| h1(e13) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(e22)]]) ).
cnf(refute_5_323,plain,
( h1(e13) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_5_311,refute_5_322]) ).
cnf(refute_5_324,plain,
( e22 = e20
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_5_321,refute_5_323]) ).
cnf(refute_5_325,plain,
h1(e10) = e23,
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_5_324,refute_5_271]) ).
cnf(refute_5_326,plain,
( h1(e10) != e23
| h4(op1(e10,e10)) != h1(e10)
| h4(op1(e10,e10)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_5_327,plain,
( h4(op1(e10,e10)) != h1(e10)
| h4(op1(e10,e10)) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_5_325,refute_5_326]) ).
cnf(refute_5_328,plain,
h4(op1(e10,e10)) = e23,
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) )],[refute_5_124,refute_5_327]) ).
cnf(refute_5_329,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(canonicalize,[],[normalize_5_65]) ).
cnf(refute_5_330,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_5_66]) ).
cnf(refute_5_331,plain,
( op1(e10,e10) != e10
| op1(e10,e12) != e10
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_5_332,plain,
( op1(e10,e10) != e10
| op1(e10,e10) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_5_182,refute_5_331]) ).
cnf(refute_5_333,plain,
op1(e10,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_5_332,refute_5_330]) ).
cnf(refute_5_334,plain,
( op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_5_329,refute_5_333]) ).
cnf(refute_5_335,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_5_67]) ).
cnf(refute_5_336,plain,
( op1(e10,e10) != e11
| op1(e10,e13) != e11
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_5_337,plain,
( op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_5_32,refute_5_336]) ).
cnf(refute_5_338,plain,
op1(e10,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_5_337,refute_5_335]) ).
cnf(refute_5_339,plain,
( op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_5_334,refute_5_338]) ).
cnf(refute_5_340,plain,
( h4(op1(e10,e10)) != e23
| op1(e10,e10) != e13
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),e23) ),[0,0],$fot(e13)]]) ).
cnf(refute_5_341,plain,
( h4(op1(e10,e10)) != e23
| h4(e13) = e23
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_5_339,refute_5_340]) ).
cnf(refute_5_342,plain,
( h4(e13) = e23
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e23) )],[refute_5_328,refute_5_341]) ).
cnf(refute_5_343,plain,
( h4(e13) != e20
| h4(e13) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e20)]]) ).
cnf(refute_5_344,plain,
( h4(e13) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_5_87,refute_5_343]) ).
cnf(refute_5_345,plain,
( e20 = e23
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_5_342,refute_5_344]) ).
cnf(refute_5_346,plain,
op1(e10,e10) = e12,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_5_345,refute_5_310]) ).
cnf(refute_5_347,plain,
( op1(e10,e10) != e12
| op1(e10,e10) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[0],$fot(e12)]]) ).
cnf(refute_5_348,plain,
( op1(e10,e10) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_5_346,refute_5_347]) ).
cnf(refute_5_349,plain,
( e12 = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_5_37,refute_5_348]) ).
cnf(refute_5_350,plain,
e12 != e13,
inference(canonicalize,[],[normalize_5_68]) ).
cnf(refute_5_351,plain,
op1(e10,e11) = e13,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_5_349,refute_5_350]) ).
cnf(refute_5_352,plain,
( op1(e10,e11) != e10
| op1(e10,e11) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[0],$fot(e13)]]) ).
cnf(refute_5_353,plain,
( op1(e10,e11) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_5_351,refute_5_352]) ).
cnf(refute_5_354,plain,
( e13 = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_5_0,refute_5_353]) ).
cnf(refute_5_355,plain,
( op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_5_354,refute_5_155]) ).
cnf(refute_5_356,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_5_69]) ).
cnf(refute_5_357,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_5_70]) ).
cnf(refute_5_358,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_5_71]) ).
cnf(refute_5_359,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_5_360,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_8,refute_5_359]) ).
cnf(refute_5_361,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_5_360,refute_5_358]) ).
cnf(refute_5_362,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_5_363,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_5_362,refute_5_361]) ).
cnf(refute_5_364,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_5_357,refute_5_363]) ).
cnf(refute_5_365,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_5_72]) ).
cnf(refute_5_366,plain,
( op1(e12,e13) != e10
| op1(e13,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_5_367,plain,
( op1(e12,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_5_173,refute_5_366]) ).
cnf(refute_5_368,plain,
op1(e12,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_5_367,refute_5_365]) ).
cnf(refute_5_369,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_5_364,refute_5_368]) ).
cnf(refute_5_370,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_5_73]) ).
cnf(refute_5_371,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_5_372,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_5_32,refute_5_371]) ).
cnf(refute_5_373,plain,
e11 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_5_372,refute_5_370]) ).
cnf(refute_5_374,plain,
( op1(e12,e13) != e11
| e11 = op1(e12,e13) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e11))]]) ).
cnf(refute_5_375,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_5_374,refute_5_373]) ).
cnf(refute_5_376,plain,
op1(e12,e13) = e12,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_5_369,refute_5_375]) ).
cnf(refute_5_377,plain,
( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_5_378,plain,
( op1(e12,e11) != e12
| op1(e12,e11) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_5_376,refute_5_377]) ).
cnf(refute_5_379,plain,
op1(e12,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_5_378,refute_5_356]) ).
cnf(refute_5_380,plain,
op1(e13,e11) = e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_5_355,refute_5_379]) ).
cnf(refute_5_381,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_5_74]) ).
cnf(refute_5_382,plain,
( e13 != op1(e13,e11)
| op1(e10,e11) != e13
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(op1(e13,e11))]]) ).
cnf(refute_5_383,plain,
( e13 != op1(e13,e11)
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_5_351,refute_5_382]) ).
cnf(refute_5_384,plain,
e13 != op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_5_383,refute_5_381]) ).
cnf(refute_5_385,plain,
( op1(e13,e11) != e13
| e13 = op1(e13,e11) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(e13))]]) ).
cnf(refute_5_386,plain,
op1(e13,e11) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e11)) )],[refute_5_385,refute_5_384]) ).
cnf(refute_5_387,plain,
$false,
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_5_380,refute_5_386]) ).
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,
( 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_1,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_2,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_6_3,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_6_2]) ).
fof(normalize_6_4,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_5,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_6_4]) ).
fof(normalize_6_6,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_6_7,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_6_6]) ).
fof(normalize_6_8,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_6_9,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_6_8]) ).
fof(normalize_6_10,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_6_11,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_6_10]) ).
fof(normalize_6_12,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_6_10]) ).
fof(normalize_6_13,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_14,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_15,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_6_6]) ).
fof(normalize_6_16,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_6_2]) ).
fof(normalize_6_17,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_6_8]) ).
fof(normalize_6_18,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_14,normalize_6_15,normalize_6_16,normalize_6_17]) ).
fof(normalize_6_19,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_6_18]) ).
fof(normalize_6_20,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_6_21,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_6_20]) ).
fof(normalize_6_22,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_6_20]) ).
fof(normalize_6_23,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_6_20]) ).
fof(normalize_6_24,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_25,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_26,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_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_6_28,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_6_27]) ).
fof(normalize_6_29,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_30,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_6_31,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_6_30]) ).
fof(normalize_6_32,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_33,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_6_30]) ).
fof(normalize_6_34,plain,
( ( ( op1(e10,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) )
& ( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) )
& ( ( op1(e13,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e12,e13) = e12 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_6_35,plain,
( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_6_34]) ).
fof(normalize_6_36,plain,
( ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e12,e13) != e12 )
& ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e13,e12) = e13 )
& ( op1(e12,e10) != e12
| op1(e12,e13) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e10) != e12
| op1(e11,e12) = e11
| op1(e13,e12) = e13 )
& ( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e10,e12) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e12) = e10
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e12
| op1(e10,e12) = e10
| op1(e11,e12) = e11 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ) ),
inference(clausify,[],[normalize_6_35]) ).
fof(normalize_6_37,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_6_36]) ).
fof(normalize_6_38,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_6_39,plain,
e10 != e12,
inference(conjunct,[],[normalize_6_38]) ).
fof(normalize_6_40,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_6_27]) ).
fof(normalize_6_41,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_42,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_43,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(conjunct,[],[normalize_6_30]) ).
fof(normalize_6_44,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_45,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_6_44]) ).
fof(normalize_6_46,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_47,plain,
( ( ( op2(e20,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) )
& ( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) )
& ( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_6_48,plain,
( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_6_47]) ).
fof(normalize_6_49,plain,
( ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e22,e23) != e22 )
& ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e23,e22) = e23 )
& ( op2(e22,e20) != e22
| op2(e22,e23) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e20) != e22
| op2(e21,e22) = e21
| op2(e23,e22) = e23 )
& ( op2(e22,e21) != e22
| op2(e22,e23) != e22
| op2(e20,e22) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e22) = e20
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e22
| op2(e20,e22) = e20
| op2(e21,e22) = e21 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ) ),
inference(clausify,[],[normalize_6_48]) ).
fof(normalize_6_50,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_6_49]) ).
fof(normalize_6_51,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_52,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
inference(conjunct,[],[normalize_6_4]) ).
fof(normalize_6_53,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_6_54,plain,
e20 != e23,
inference(conjunct,[],[normalize_6_53]) ).
fof(normalize_6_55,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_56,plain,
e20 != e21,
inference(conjunct,[],[normalize_6_53]) ).
fof(normalize_6_57,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_58,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_6_10]) ).
fof(normalize_6_59,plain,
e21 != e23,
inference(conjunct,[],[normalize_6_53]) ).
fof(normalize_6_60,plain,
e22 != e23,
inference(conjunct,[],[normalize_6_53]) ).
fof(normalize_6_61,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(conjunct,[],[normalize_6_18]) ).
fof(normalize_6_62,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_63,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(conjunct,[],[normalize_6_62]) ).
fof(normalize_6_64,plain,
( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) ),
inference(conjunct,[],[normalize_6_34]) ).
fof(normalize_6_65,plain,
( ( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e11,e13) != e11 )
& ( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e13,e11) = e13 )
& ( op1(e11,e10) != e11
| op1(e11,e13) != e11
| op1(e12,e11) = e12 )
& ( op1(e11,e10) != e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e11,e12) != e11
| op1(e11,e13) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e12) != e11
| op1(e10,e11) = e10
| op1(e13,e11) = e13 )
& ( op1(e11,e13) != e11
| op1(e10,e11) = e10
| op1(e12,e11) = e12 )
& ( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ) ),
inference(clausify,[],[normalize_6_64]) ).
fof(normalize_6_66,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_6_65]) ).
fof(normalize_6_67,plain,
op1(e10,e11) != op1(e10,e12),
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_68,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_69,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_6_27]) ).
fof(normalize_6_70,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_71,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_72,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_73,plain,
e12 != e13,
inference(conjunct,[],[normalize_6_38]) ).
fof(normalize_6_74,plain,
op1(e10,e10) != op1(e10,e11),
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_75,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_6_18]) ).
fof(normalize_6_76,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_6_6]) ).
fof(normalize_6_77,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(conjunct,[],[normalize_6_27]) ).
fof(normalize_6_78,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_79,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_6_24]) ).
fof(normalize_6_80,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(conjunct,[],[normalize_6_4]) ).
fof(normalize_6_81,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_82,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_6_4]) ).
fof(normalize_6_83,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_84,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(conjunct,[],[normalize_6_20]) ).
cnf(refute_6_0,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_6_1]) ).
cnf(refute_6_1,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_6_3]) ).
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( $equal(X,X) )],[refute_6_2,refute_6_3]) ).
cnf(refute_6_5,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_6_6,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_6_1,refute_6_5]) ).
cnf(refute_6_7,plain,
( op2(e20,e21) != h2(e13)
| op2(e21,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_6_8,plain,
( op2(e20,e21) != h2(e13)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_6,refute_6_7]) ).
cnf(refute_6_9,plain,
op2(e20,e21) != h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_6_8,refute_6_0]) ).
cnf(refute_6_10,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_6_5]) ).
cnf(refute_6_11,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_6_7]) ).
cnf(refute_6_12,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_6_13,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_6_11,refute_6_12]) ).
cnf(refute_6_14,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_6_15,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_13,refute_6_14]) ).
cnf(refute_6_16,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_6_10,refute_6_15]) ).
cnf(refute_6_17,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_6_9]) ).
cnf(refute_6_18,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_6_11]) ).
cnf(refute_6_19,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_6_20,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_6_18,refute_6_19]) ).
cnf(refute_6_21,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_6_22,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_23,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_6_21,refute_6_22]) ).
cnf(refute_6_24,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_20,refute_6_23]) ).
cnf(refute_6_25,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_6_12]) ).
cnf(refute_6_26,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = e20 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_6_27,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_6_25,refute_6_26]) ).
cnf(refute_6_28,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_6_29,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_30,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_6_28,refute_6_29]) ).
cnf(refute_6_31,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e20) )],[refute_6_27,refute_6_30]) ).
cnf(refute_6_32,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_6_33,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_6_4,refute_6_32]) ).
cnf(refute_6_34,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))),bind(Y,$fot(op2(e20,op2(e22,e22)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_6_35,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_6_31,refute_6_34]) ).
cnf(refute_6_36,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_6_24,refute_6_35]) ).
cnf(refute_6_37,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,e23)
| h3(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e20,e23)) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_6_38,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| h3(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,e23)) )],[refute_6_36,refute_6_37]) ).
cnf(refute_6_39,plain,
h3(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_6_17,refute_6_38]) ).
cnf(refute_6_40,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_6_41,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_6_39,refute_6_40]) ).
cnf(refute_6_42,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_6_43,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_6_41,refute_6_42]) ).
cnf(refute_6_44,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_6_16,refute_6_43]) ).
cnf(refute_6_45,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_6_13]) ).
cnf(refute_6_46,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_6_47,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_20,refute_6_46]) ).
cnf(refute_6_48,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_6_47,refute_6_45]) ).
cnf(refute_6_49,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_6_44,refute_6_48]) ).
cnf(refute_6_50,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_6_19]) ).
cnf(refute_6_51,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_6_21]) ).
cnf(refute_6_52,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e12)))]]) ).
cnf(refute_6_53,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_54,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_6_52,refute_6_53]) ).
cnf(refute_6_55,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_6_51,refute_6_54]) ).
cnf(refute_6_56,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_6_22]) ).
cnf(refute_6_57,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_6_23]) ).
cnf(refute_6_58,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_6_59,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_6_57,refute_6_58]) ).
cnf(refute_6_60,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_6_61,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_62,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_6_60,refute_6_61]) ).
cnf(refute_6_63,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_20,refute_6_62]) ).
cnf(refute_6_64,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_6_65,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_6_66,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_6_64,refute_6_65]) ).
cnf(refute_6_67,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_20,refute_6_66]) ).
cnf(refute_6_68,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_6_69,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_6_67,refute_6_68]) ).
cnf(refute_6_70,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_6_63,refute_6_69]) ).
cnf(refute_6_71,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_6_72,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_6_70,refute_6_71]) ).
cnf(refute_6_73,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_59,refute_6_72]) ).
cnf(refute_6_74,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_6_75,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_6_73,refute_6_74]) ).
cnf(refute_6_76,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_6_25,refute_6_75]) ).
cnf(refute_6_77,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_6_78,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_6_76,refute_6_77]) ).
cnf(refute_6_79,plain,
( h4(e13) != e20
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_6_80,plain,
( h4(e13) != e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_59,refute_6_79]) ).
cnf(refute_6_81,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_6_78,refute_6_80]) ).
cnf(refute_6_82,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_6_83,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_84,plain,
( op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_6_82,refute_6_83]) ).
cnf(refute_6_85,plain,
op2(e20,op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_81,refute_6_84]) ).
cnf(refute_6_86,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_6_87,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,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(e20)]]) ).
cnf(refute_6_88,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_6_86,refute_6_87]) ).
cnf(refute_6_89,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_81,refute_6_88]) ).
cnf(refute_6_90,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_6_91,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_6_89,refute_6_90]) ).
cnf(refute_6_92,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_6_85,refute_6_91]) ).
cnf(refute_6_93,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_6_94,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_6_92,refute_6_93]) ).
cnf(refute_6_95,plain,
op2(op2(e23,e23),op2(e23,e23)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_13,refute_6_94]) ).
cnf(refute_6_96,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_6_97,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h1(e13)) )],[refute_6_95,refute_6_96]) ).
cnf(refute_6_98,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_6_56,refute_6_97]) ).
cnf(refute_6_99,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_6_100,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_6_101,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_6_99,refute_6_100]) ).
cnf(refute_6_102,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_6_98,refute_6_101]) ).
cnf(refute_6_103,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),h4(e12)))),bind(Z,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_6_104,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_6_102,refute_6_103]) ).
cnf(refute_6_105,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),e23)) )],[refute_6_55,refute_6_104]) ).
cnf(refute_6_106,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h1(e13),e23)
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_6_107,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),e23)) )],[refute_6_105,refute_6_106]) ).
cnf(refute_6_108,plain,
h4(op1(e10,e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_6_50,refute_6_107]) ).
cnf(refute_6_109,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_6_25]) ).
cnf(refute_6_110,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_6_26]) ).
cnf(refute_6_111,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_6_28]) ).
cnf(refute_6_112,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_6_29]) ).
cnf(refute_6_113,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_6_31]) ).
cnf(refute_6_114,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_6_115,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_6_113,refute_6_114]) ).
cnf(refute_6_116,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_6_117,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_115,refute_6_116]) ).
cnf(refute_6_118,plain,
e13 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_6_117,refute_6_112]) ).
cnf(refute_6_119,plain,
( op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).
cnf(refute_6_120,plain,
op1(e13,e12) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_6_119,refute_6_118]) ).
cnf(refute_6_121,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_6_111,refute_6_120]) ).
cnf(refute_6_122,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_6_32]) ).
cnf(refute_6_123,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_6_33]) ).
cnf(refute_6_124,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_6_125,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_6_126,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_6_124,refute_6_125]) ).
cnf(refute_6_127,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_115,refute_6_126]) ).
cnf(refute_6_128,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_6_129,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_6_130,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_6_128,refute_6_129]) ).
cnf(refute_6_131,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_115,refute_6_130]) ).
cnf(refute_6_132,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_6_133,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_6_131,refute_6_132]) ).
cnf(refute_6_134,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_6_127,refute_6_133]) ).
cnf(refute_6_135,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_6_136,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_6_134,refute_6_135]) ).
cnf(refute_6_137,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_6_123,refute_6_136]) ).
cnf(refute_6_138,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_6_139,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_6_137,refute_6_138]) ).
cnf(refute_6_140,plain,
( op1(e13,e12) != e10
| op1(e13,e13) != e10
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_6_141,plain,
( op1(e13,e12) != e10
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_6_139,refute_6_140]) ).
cnf(refute_6_142,plain,
op1(e13,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_6_141,refute_6_122]) ).
cnf(refute_6_143,plain,
( op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_6_121,refute_6_142]) ).
cnf(refute_6_144,plain,
( op1(e11,e12) != e11
| op1(e13,e12) != e11
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_6_145,plain,
( op1(e11,e12) != e11
| op1(e11,e12) = op1(e13,e12)
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_6_143,refute_6_144]) ).
cnf(refute_6_146,plain,
( op1(e11,e12) != e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_6_145,refute_6_110]) ).
cnf(refute_6_147,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_6_37]) ).
cnf(refute_6_148,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_6_147,refute_6_120]) ).
cnf(refute_6_149,plain,
( e11 != e11
| op1(e11,e12) != e11
| op1(e11,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_6_150,plain,
( e11 != e11
| op1(e10,e12) = e10
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_6_148,refute_6_149]) ).
cnf(refute_6_151,plain,
( e11 != e11
| op1(e10,e12) = e10
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_6_150,refute_6_146]) ).
cnf(refute_6_152,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_6_153,plain,
( op1(e10,e12) = e10
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_152,refute_6_151]) ).
cnf(refute_6_154,plain,
( op1(e10,e12) != e12
| op1(e13,e12) != e12
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_6_155,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_6_153,refute_6_154]) ).
cnf(refute_6_156,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_6_155,refute_6_109]) ).
cnf(refute_6_157,plain,
( op1(e10,e12) != e10
| op1(e10,e12) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[0],$fot(e12)]]) ).
cnf(refute_6_158,plain,
( op1(e10,e12) != e12
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_6_156,refute_6_157]) ).
cnf(refute_6_159,plain,
e10 != e12,
inference(canonicalize,[],[normalize_6_39]) ).
cnf(refute_6_160,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_6_161,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_6_160,refute_6_159]) ).
cnf(refute_6_162,plain,
op1(e10,e12) != e12,
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_6_158,refute_6_161]) ).
cnf(refute_6_163,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_6_40]) ).
cnf(refute_6_164,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_6_41]) ).
cnf(refute_6_165,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_6_166,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_115,refute_6_165]) ).
cnf(refute_6_167,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_6_166,refute_6_164]) ).
cnf(refute_6_168,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_6_163,refute_6_167]) ).
cnf(refute_6_169,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_6_42]) ).
cnf(refute_6_170,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(canonicalize,[],[normalize_6_43]) ).
cnf(refute_6_171,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = e10 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e12,e12),op1(e12,e12))))]]) ).
cnf(refute_6_172,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_6_123,refute_6_171]) ).
cnf(refute_6_173,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_6_174,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_6_175,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_6_173,refute_6_174]) ).
cnf(refute_6_176,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e10) )],[refute_6_172,refute_6_175]) ).
cnf(refute_6_177,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(e10,op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,op1(e12,e12))) ),[0],$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_6_178,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_6_176,refute_6_177]) ).
cnf(refute_6_179,plain,
e11 = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(e11,op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_6_170,refute_6_178]) ).
cnf(refute_6_180,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_6_181,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_6_182,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_6_180,refute_6_181]) ).
cnf(refute_6_183,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_115,refute_6_182]) ).
cnf(refute_6_184,plain,
( e11 != op1(e10,op1(e12,e12))
| op1(e10,op1(e12,e12)) != op1(e10,e13)
| e11 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e13)) ),[0],$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_6_185,plain,
( e11 != op1(e10,op1(e12,e12))
| e11 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_6_183,refute_6_184]) ).
cnf(refute_6_186,plain,
e11 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e11,op1(e10,op1(e12,e12))) )],[refute_6_179,refute_6_185]) ).
cnf(refute_6_187,plain,
( e11 != op1(e10,e13)
| op1(e10,e13) = e11 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_6_188,plain,
op1(e10,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_6_186,refute_6_187]) ).
cnf(refute_6_189,plain,
( op1(e10,e12) != e11
| op1(e10,e13) != e11
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_190,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_6_188,refute_6_189]) ).
cnf(refute_6_191,plain,
op1(e10,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_6_190,refute_6_169]) ).
cnf(refute_6_192,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_168,refute_6_191]) ).
cnf(refute_6_193,plain,
( e12 != e12
| op1(e10,e12) != e12
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_6_194,plain,
( e12 != e12
| op1(e10,e12) = e10
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_6_192,refute_6_193]) ).
cnf(refute_6_195,plain,
( e12 != e12
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_6_194,refute_6_162]) ).
cnf(refute_6_196,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_6_197,plain,
op1(e10,e12) = e10,
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_6_196,refute_6_195]) ).
cnf(refute_6_198,plain,
h4(op1(e10,e12)) = h4(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_6_199,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| op1(e10,e12) != e10
| h4(op1(e10,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_6_200,plain,
( op1(e10,e12) != e10
| h4(op1(e10,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_6_198,refute_6_199]) ).
cnf(refute_6_201,plain,
h4(op1(e10,e12)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_6_197,refute_6_200]) ).
cnf(refute_6_202,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) != h4(e10)
| h4(op1(e10,e12)) = h1(e13) ),
inference(subst,[],[refute_6_33:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_6_203,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e10)) )],[refute_6_201,refute_6_202]) ).
cnf(refute_6_204,plain,
h4(op1(e10,e12)) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_6_98,refute_6_203]) ).
cnf(refute_6_205,plain,
( h4(op1(e10,e12)) != h1(e13)
| h4(op1(e10,e12)) != op2(h1(e13),e23)
| h1(e13) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(h1(e13))]]) ).
cnf(refute_6_206,plain,
( h4(op1(e10,e12)) != op2(h1(e13),e23)
| h1(e13) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h1(e13)) )],[refute_6_204,refute_6_205]) ).
cnf(refute_6_207,plain,
h1(e13) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) )],[refute_6_108,refute_6_206]) ).
cnf(refute_6_208,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_6_45]) ).
cnf(refute_6_209,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_6_210,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_13,refute_6_209]) ).
cnf(refute_6_211,plain,
( h1(e13) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_6_208,refute_6_210]) ).
cnf(refute_6_212,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_6_213,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_13,refute_6_212]) ).
cnf(refute_6_214,plain,
( h1(e13) = e20
| h1(e13) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_6_211,refute_6_213]) ).
cnf(refute_6_215,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_6_216,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_13,refute_6_215]) ).
cnf(refute_6_217,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_6_214,refute_6_216]) ).
cnf(refute_6_218,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_6_217,refute_6_15]) ).
cnf(refute_6_219,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_6_46]) ).
cnf(refute_6_220,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_6_221,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_13,refute_6_220]) ).
cnf(refute_6_222,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_6_221,refute_6_219]) ).
cnf(refute_6_223,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_6_50]) ).
cnf(refute_6_224,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_6_51]) ).
cnf(refute_6_225,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_6_226,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_20,refute_6_225]) ).
cnf(refute_6_227,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_6_226,refute_6_224]) ).
cnf(refute_6_228,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_6_229,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_6_228,refute_6_227]) ).
cnf(refute_6_230,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_6_223,refute_6_229]) ).
cnf(refute_6_231,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
inference(canonicalize,[],[normalize_6_52]) ).
cnf(refute_6_232,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).
cnf(refute_6_233,plain,
( op2(e22,e22) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_20,refute_6_232]) ).
cnf(refute_6_234,plain,
( e23 = e20
| op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_6_231,refute_6_233]) ).
cnf(refute_6_235,plain,
e20 != e23,
inference(canonicalize,[],[normalize_6_54]) ).
cnf(refute_6_236,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_6_237,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_6_236,refute_6_235]) ).
cnf(refute_6_238,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_6_234,refute_6_237]) ).
cnf(refute_6_239,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_55]) ).
cnf(refute_6_240,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_6_241,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_59,refute_6_240]) ).
cnf(refute_6_242,plain,
op2(e23,e22) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_6_241,refute_6_239]) ).
cnf(refute_6_243,plain,
( h4(e13) != e20
| op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_6_244,plain,
( op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_6_78,refute_6_243]) ).
cnf(refute_6_245,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),h4(e13)) )],[refute_6_244,refute_6_242]) ).
cnf(refute_6_246,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_6_238,refute_6_245]) ).
cnf(refute_6_247,plain,
( op2(e21,e22) != e20
| op2(e21,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0],$fot(e20)]]) ).
cnf(refute_6_248,plain,
( op2(e21,e22) != e21
| e20 = e21
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_6_246,refute_6_247]) ).
cnf(refute_6_249,plain,
( e20 = e21
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_230,refute_6_248]) ).
cnf(refute_6_250,plain,
e20 != e21,
inference(canonicalize,[],[normalize_6_56]) ).
cnf(refute_6_251,plain,
op2(e20,e22) = e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_6_249,refute_6_250]) ).
cnf(refute_6_252,plain,
( h1(e13) != e20
| op2(e20,e22) != e20
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_6_253,plain,
( h1(e13) != e20
| h1(e13) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_6_251,refute_6_252]) ).
cnf(refute_6_254,plain,
h1(e13) != e20,
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_6_253,refute_6_222]) ).
cnf(refute_6_255,plain,
( h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_218,refute_6_254]) ).
cnf(refute_6_256,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_6_57]) ).
cnf(refute_6_257,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_6_258,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_13,refute_6_257]) ).
cnf(refute_6_259,plain,
( h1(e13) != h3(e11)
| op2(e20,e23) != h3(e11)
| h1(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_6_260,plain,
( h1(e13) != h3(e11)
| h1(e13) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_6_41,refute_6_259]) ).
cnf(refute_6_261,plain,
( h1(e13) != h3(e11)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_6_260,refute_6_258]) ).
cnf(refute_6_262,plain,
h1(e13) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_6_261,refute_6_256]) ).
cnf(refute_6_263,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_6_58]) ).
cnf(refute_6_264,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,op2(e22,e22))) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_6_265,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_6_31,refute_6_264]) ).
cnf(refute_6_266,plain,
e21 = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(e21,op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_6_263,refute_6_265]) ).
cnf(refute_6_267,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op2(e20,op2(e22,e22)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_6_268,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_6_24,refute_6_267]) ).
cnf(refute_6_269,plain,
op2(e20,op2(e22,e22)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_6_41,refute_6_268]) ).
cnf(refute_6_270,plain,
( e21 != op2(e20,op2(e22,e22))
| op2(e20,op2(e22,e22)) != h3(e11)
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[0],$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_6_271,plain,
( e21 != op2(e20,op2(e22,e22))
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),h3(e11)) )],[refute_6_269,refute_6_270]) ).
cnf(refute_6_272,plain,
e21 = h3(e11),
inference(resolve,[$cnf( $equal(e21,op2(e20,op2(e22,e22))) )],[refute_6_266,refute_6_271]) ).
cnf(refute_6_273,plain,
( e21 != h3(e11)
| h3(e11) = e21 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e21)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_6_274,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_6_272,refute_6_273]) ).
cnf(refute_6_275,plain,
( h1(e13) != e21
| h3(e11) != e21
| h1(e13) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_6_276,plain,
( h1(e13) != e21
| h1(e13) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_6_274,refute_6_275]) ).
cnf(refute_6_277,plain,
h1(e13) != e21,
inference(resolve,[$cnf( $equal(h1(e13),h3(e11)) )],[refute_6_276,refute_6_262]) ).
cnf(refute_6_278,plain,
( h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_6_255,refute_6_277]) ).
cnf(refute_6_279,plain,
( h1(e13) != e23
| h1(e13) != op2(h1(e13),e23)
| h1(e13) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_6_280,plain,
( h1(e13) != op2(h1(e13),e23)
| h1(e13) = e22
| h1(e13) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_6_278,refute_6_279]) ).
cnf(refute_6_281,plain,
( h1(e13) = e22
| h1(e13) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) )],[refute_6_207,refute_6_280]) ).
cnf(refute_6_282,plain,
( h1(e13) != op2(e23,e23)
| op2(e23,e23) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),e20) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_6_283,plain,
( h1(e13) != op2(e23,e23)
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_81,refute_6_282]) ).
cnf(refute_6_284,plain,
( h1(e13) = e20
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e23)) )],[refute_6_281,refute_6_283]) ).
cnf(refute_6_285,plain,
h1(e13) = e22,
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_6_284,refute_6_254]) ).
cnf(refute_6_286,plain,
( h1(e13) != e22
| h1(e13) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[0],$fot(e22)]]) ).
cnf(refute_6_287,plain,
( h1(e13) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_285,refute_6_286]) ).
cnf(refute_6_288,plain,
( e22 = e23
| h3(e11) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_6_49,refute_6_287]) ).
cnf(refute_6_289,plain,
( h3(e11) != e21
| h3(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_6_290,plain,
( h3(e11) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_6_274,refute_6_289]) ).
cnf(refute_6_291,plain,
( e21 = e23
| e22 = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_6_288,refute_6_290]) ).
cnf(refute_6_292,plain,
e21 != e23,
inference(canonicalize,[],[normalize_6_59]) ).
cnf(refute_6_293,plain,
( e22 = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_291,refute_6_292]) ).
cnf(refute_6_294,plain,
e22 != e23,
inference(canonicalize,[],[normalize_6_60]) ).
cnf(refute_6_295,plain,
op2(e20,e21) = e23,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_293,refute_6_294]) ).
cnf(refute_6_296,plain,
( e23 != h2(e13)
| op2(e20,e21) != e23
| op2(e20,e21) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(h2(e13))]]) ).
cnf(refute_6_297,plain,
( e23 != h2(e13)
| op2(e20,e21) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_6_295,refute_6_296]) ).
cnf(refute_6_298,plain,
e23 != h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_6_297,refute_6_9]) ).
cnf(refute_6_299,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(canonicalize,[],[normalize_6_61]) ).
cnf(refute_6_300,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(canonicalize,[],[normalize_6_63]) ).
cnf(refute_6_301,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_6_66]) ).
cnf(refute_6_302,plain,
op1(e10,e11) != op1(e10,e12),
inference(canonicalize,[],[normalize_6_67]) ).
cnf(refute_6_303,plain,
( op1(e10,e11) != e10
| op1(e10,e12) != e10
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_6_304,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_6_197,refute_6_303]) ).
cnf(refute_6_305,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_6_304,refute_6_302]) ).
cnf(refute_6_306,plain,
( op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_6_301,refute_6_305]) ).
cnf(refute_6_307,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_6_68]) ).
cnf(refute_6_308,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_6_69]) ).
cnf(refute_6_309,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_6_70]) ).
cnf(refute_6_310,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_6_311,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_115,refute_6_310]) ).
cnf(refute_6_312,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_6_311,refute_6_309]) ).
cnf(refute_6_313,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_6_314,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_6_313,refute_6_312]) ).
cnf(refute_6_315,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_6_308,refute_6_314]) ).
cnf(refute_6_316,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_6_71]) ).
cnf(refute_6_317,plain,
( op1(e12,e13) != e10
| op1(e13,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_6_318,plain,
( op1(e12,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_6_139,refute_6_317]) ).
cnf(refute_6_319,plain,
op1(e12,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_6_318,refute_6_316]) ).
cnf(refute_6_320,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_6_315,refute_6_319]) ).
cnf(refute_6_321,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_6_72]) ).
cnf(refute_6_322,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_6_323,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_6_188,refute_6_322]) ).
cnf(refute_6_324,plain,
e11 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_6_323,refute_6_321]) ).
cnf(refute_6_325,plain,
( op1(e12,e13) != e11
| e11 = op1(e12,e13) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e11))]]) ).
cnf(refute_6_326,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_6_325,refute_6_324]) ).
cnf(refute_6_327,plain,
op1(e12,e13) = e12,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_6_320,refute_6_326]) ).
cnf(refute_6_328,plain,
( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_6_329,plain,
( op1(e12,e11) != e12
| op1(e12,e11) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_6_327,refute_6_328]) ).
cnf(refute_6_330,plain,
op1(e12,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_6_329,refute_6_307]) ).
cnf(refute_6_331,plain,
op1(e13,e11) = e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_6_306,refute_6_330]) ).
cnf(refute_6_332,plain,
( op1(e13,e11) != e12
| op1(e13,e11) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(e13)]]) ).
cnf(refute_6_333,plain,
( op1(e13,e11) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_6_331,refute_6_332]) ).
cnf(refute_6_334,plain,
( e13 = e12
| op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_6_300,refute_6_333]) ).
cnf(refute_6_335,plain,
e12 != e13,
inference(canonicalize,[],[normalize_6_73]) ).
cnf(refute_6_336,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_6_337,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_6_336,refute_6_335]) ).
cnf(refute_6_338,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_6_334,refute_6_337]) ).
cnf(refute_6_339,plain,
op1(e10,e10) != op1(e10,e11),
inference(canonicalize,[],[normalize_6_74]) ).
cnf(refute_6_340,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_6_75]) ).
cnf(refute_6_341,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_6_76]) ).
cnf(refute_6_342,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_6_343,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_6_344,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_6_342,refute_6_343]) ).
cnf(refute_6_345,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_13,refute_6_344]) ).
cnf(refute_6_346,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_6_347,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),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(e13))]]) ).
cnf(refute_6_348,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_6_346,refute_6_347]) ).
cnf(refute_6_349,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_13,refute_6_348]) ).
cnf(refute_6_350,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_6_351,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_6_349,refute_6_350]) ).
cnf(refute_6_352,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_6_345,refute_6_351]) ).
cnf(refute_6_353,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e10) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_6_354,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| h1(e10) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_6_352,refute_6_353]) ).
cnf(refute_6_355,plain,
h1(e10) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_6_341,refute_6_354]) ).
cnf(refute_6_356,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) = h1(e10) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_6_357,plain,
op2(h1(e13),h1(e13)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_6_355,refute_6_356]) ).
cnf(refute_6_358,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e10)))]]) ).
cnf(refute_6_359,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_6_360,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_6_358,refute_6_359]) ).
cnf(refute_6_361,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_6_98,refute_6_360]) ).
cnf(refute_6_362,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_6_363,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_6_364,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_6_362,refute_6_363]) ).
cnf(refute_6_365,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_6_98,refute_6_364]) ).
cnf(refute_6_366,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h4(e10)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_6_367,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_6_365,refute_6_366]) ).
cnf(refute_6_368,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_6_361,refute_6_367]) ).
cnf(refute_6_369,plain,
( op2(h1(e13),h1(e13)) != h1(e10)
| op2(h4(e10),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = h1(e10) ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h1(e13)))),bind(Z,$fot(h1(e10)))]]) ).
cnf(refute_6_370,plain,
( op2(h1(e13),h1(e13)) != h1(e10)
| op2(h4(e10),h4(e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_6_368,refute_6_369]) ).
cnf(refute_6_371,plain,
op2(h4(e10),h4(e10)) = h1(e10),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),h1(e10)) )],[refute_6_357,refute_6_370]) ).
cnf(refute_6_372,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e10)
| h4(op1(e10,e10)) = h1(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e10)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_6_373,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e10)) )],[refute_6_371,refute_6_372]) ).
cnf(refute_6_374,plain,
h4(op1(e10,e10)) = h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_6_340,refute_6_373]) ).
cnf(refute_6_375,plain,
op2(e22,h1(e13)) = op2(e22,h1(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h1(e13)))]]) ).
cnf(refute_6_376,plain,
( h1(e13) != e22
| op2(e22,h1(e13)) != op2(e22,h1(e13))
| op2(e22,h1(e13)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h1(e13)),op2(e22,h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_6_377,plain,
( h1(e13) != e22
| op2(e22,h1(e13)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h1(e13)),op2(e22,h1(e13))) )],[refute_6_375,refute_6_376]) ).
cnf(refute_6_378,plain,
op2(e22,h1(e13)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_285,refute_6_377]) ).
cnf(refute_6_379,plain,
op2(h1(e13),h1(e13)) = op2(h1(e13),h1(e13)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h1(e13)))]]) ).
cnf(refute_6_380,plain,
( h1(e13) != e22
| op2(h1(e13),h1(e13)) != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) = op2(e22,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(h1(e13),h1(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_6_381,plain,
( h1(e13) != e22
| op2(h1(e13),h1(e13)) = op2(e22,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(h1(e13),h1(e13))) )],[refute_6_379,refute_6_380]) ).
cnf(refute_6_382,plain,
op2(h1(e13),h1(e13)) = op2(e22,h1(e13)),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_285,refute_6_381]) ).
cnf(refute_6_383,plain,
( op2(e22,h1(e13)) != op2(e22,e22)
| op2(h1(e13),h1(e13)) != op2(e22,h1(e13))
| op2(h1(e13),h1(e13)) = op2(e22,e22) ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op2(h1(e13),h1(e13)))),bind(Y,$fot(op2(e22,h1(e13)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_6_384,plain,
( op2(e22,h1(e13)) != op2(e22,e22)
| op2(h1(e13),h1(e13)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(e22,h1(e13))) )],[refute_6_382,refute_6_383]) ).
cnf(refute_6_385,plain,
op2(h1(e13),h1(e13)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,h1(e13)),op2(e22,e22)) )],[refute_6_378,refute_6_384]) ).
cnf(refute_6_386,plain,
( op2(e22,e22) != e23
| op2(h1(e13),h1(e13)) != op2(e22,e22)
| op2(h1(e13),h1(e13)) = e23 ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op2(h1(e13),h1(e13)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(e23))]]) ).
cnf(refute_6_387,plain,
( op2(e22,e22) != e23
| op2(h1(e13),h1(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(e22,e22)) )],[refute_6_385,refute_6_386]) ).
cnf(refute_6_388,plain,
op2(h1(e13),h1(e13)) = e23,
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_20,refute_6_387]) ).
cnf(refute_6_389,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) != e23
| h1(e10) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e23) ),[0],$fot(op2(h1(e13),h1(e13)))]]) ).
cnf(refute_6_390,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),e23) )],[refute_6_388,refute_6_389]) ).
cnf(refute_6_391,plain,
h1(e10) = e23,
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_6_355,refute_6_390]) ).
cnf(refute_6_392,plain,
( h1(e10) != e23
| h4(op1(e10,e10)) != h1(e10)
| h4(op1(e10,e10)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_6_393,plain,
( h4(op1(e10,e10)) != h1(e10)
| h4(op1(e10,e10)) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_6_391,refute_6_392]) ).
cnf(refute_6_394,plain,
h4(op1(e10,e10)) = e23,
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) )],[refute_6_374,refute_6_393]) ).
cnf(refute_6_395,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(canonicalize,[],[normalize_6_77]) ).
cnf(refute_6_396,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_6_78]) ).
cnf(refute_6_397,plain,
( op1(e10,e10) != e10
| op1(e10,e12) != e10
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_6_398,plain,
( op1(e10,e10) != e10
| op1(e10,e10) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_6_197,refute_6_397]) ).
cnf(refute_6_399,plain,
op1(e10,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_6_398,refute_6_396]) ).
cnf(refute_6_400,plain,
( op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_6_395,refute_6_399]) ).
cnf(refute_6_401,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_6_79]) ).
cnf(refute_6_402,plain,
( op1(e10,e10) != e11
| op1(e10,e13) != e11
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_403,plain,
( op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_6_188,refute_6_402]) ).
cnf(refute_6_404,plain,
op1(e10,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_6_403,refute_6_401]) ).
cnf(refute_6_405,plain,
( op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_6_400,refute_6_404]) ).
cnf(refute_6_406,plain,
( h4(op1(e10,e10)) != e23
| op1(e10,e10) != e13
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),e23) ),[0,0],$fot(e13)]]) ).
cnf(refute_6_407,plain,
( h4(op1(e10,e10)) != e23
| h4(e13) = e23
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_6_405,refute_6_406]) ).
cnf(refute_6_408,plain,
( h4(e13) = e23
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e23) )],[refute_6_394,refute_6_407]) ).
cnf(refute_6_409,plain,
( h4(e13) != e20
| h4(e13) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e20)]]) ).
cnf(refute_6_410,plain,
( h4(e13) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_6_78,refute_6_409]) ).
cnf(refute_6_411,plain,
( e20 = e23
| op1(e10,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_6_408,refute_6_410]) ).
cnf(refute_6_412,plain,
op1(e10,e10) = e12,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_6_411,refute_6_235]) ).
cnf(refute_6_413,plain,
( e12 != op1(e10,e11)
| op1(e10,e10) != e12
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[1],$fot(op1(e10,e11))]]) ).
cnf(refute_6_414,plain,
( e12 != op1(e10,e11)
| op1(e10,e10) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_6_412,refute_6_413]) ).
cnf(refute_6_415,plain,
e12 != op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_6_414,refute_6_339]) ).
cnf(refute_6_416,plain,
( op1(e10,e11) != e12
| e12 = op1(e10,e11) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(e12))]]) ).
cnf(refute_6_417,plain,
op1(e10,e11) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e10,e11)) )],[refute_6_416,refute_6_415]) ).
cnf(refute_6_418,plain,
( op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_6_338,refute_6_417]) ).
cnf(refute_6_419,plain,
op1(e11,e11) = e12,
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_6_418,refute_6_330]) ).
cnf(refute_6_420,plain,
h4(op1(e11,e11)) = h4(op1(e11,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e11)))]]) ).
cnf(refute_6_421,plain,
( h4(op1(e11,e11)) != h4(op1(e11,e11))
| op1(e11,e11) != e12
| h4(op1(e11,e11)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) ),[1,0],$fot(e12)]]) ).
cnf(refute_6_422,plain,
( op1(e11,e11) != e12
| h4(op1(e11,e11)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) )],[refute_6_420,refute_6_421]) ).
cnf(refute_6_423,plain,
h4(op1(e11,e11)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_6_419,refute_6_422]) ).
cnf(refute_6_424,plain,
( h4(e12) != e23
| h4(op1(e11,e11)) != h4(e12)
| h4(op1(e11,e11)) = e23 ),
inference(subst,[],[refute_6_33:[bind(X,$fot(h4(op1(e11,e11)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).
cnf(refute_6_425,plain,
( h4(e12) != e23
| h4(op1(e11,e11)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(e12)) )],[refute_6_423,refute_6_424]) ).
cnf(refute_6_426,plain,
h4(op1(e11,e11)) = e23,
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_6_51,refute_6_425]) ).
cnf(refute_6_427,plain,
( h4(op1(e11,e11)) != e23
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| e23 = op2(h4(e11),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) ),[0],$fot(e23)]]) ).
cnf(refute_6_428,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| e23 = op2(h4(e11),h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e23) )],[refute_6_426,refute_6_427]) ).
cnf(refute_6_429,plain,
e23 = op2(h4(e11),h4(e11)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_6_299,refute_6_428]) ).
cnf(refute_6_430,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(canonicalize,[],[normalize_6_80]) ).
cnf(refute_6_431,plain,
( e23 = e20
| op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_6_430,refute_6_233]) ).
cnf(refute_6_432,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_6_431,refute_6_237]) ).
cnf(refute_6_433,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_81]) ).
cnf(refute_6_434,plain,
( op2(e22,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_6_435,plain,
( op2(e22,e23) != h4(e13)
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_59,refute_6_434]) ).
cnf(refute_6_436,plain,
op2(e22,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_6_435,refute_6_433]) ).
cnf(refute_6_437,plain,
( h4(e13) != e20
| op2(e22,e23) != e20
| op2(e22,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_6_438,plain,
( op2(e22,e23) != e20
| op2(e22,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_6_78,refute_6_437]) ).
cnf(refute_6_439,plain,
op2(e22,e23) != e20,
inference(resolve,[$cnf( $equal(op2(e22,e23),h4(e13)) )],[refute_6_438,refute_6_436]) ).
cnf(refute_6_440,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_6_432,refute_6_439]) ).
cnf(refute_6_441,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_6_82]) ).
cnf(refute_6_442,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_6_443,plain,
( op2(e22,e22) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_20,refute_6_442]) ).
cnf(refute_6_444,plain,
( e23 = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_6_441,refute_6_443]) ).
cnf(refute_6_445,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_6_446,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_445,refute_6_292]) ).
cnf(refute_6_447,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_6_444,refute_6_446]) ).
cnf(refute_6_448,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_6_83]) ).
cnf(refute_6_449,plain,
( h3(e11) != op2(e22,e23)
| op2(e20,e23) != h3(e11)
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h3(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_6_450,plain,
( h3(e11) != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_6_41,refute_6_449]) ).
cnf(refute_6_451,plain,
h3(e11) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_6_450,refute_6_448]) ).
cnf(refute_6_452,plain,
( e21 != op2(e22,e23)
| h3(e11) != e21
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_6_453,plain,
( e21 != op2(e22,e23)
| h3(e11) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_6_274,refute_6_452]) ).
cnf(refute_6_454,plain,
e21 != op2(e22,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_6_453,refute_6_451]) ).
cnf(refute_6_455,plain,
( op2(e22,e23) != e21
| e21 = op2(e22,e23) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e21))]]) ).
cnf(refute_6_456,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_6_455,refute_6_454]) ).
cnf(refute_6_457,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_6_447,refute_6_456]) ).
cnf(refute_6_458,plain,
( op2(e22,e21) != e20
| op2(e22,e21) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e20) ),[0],$fot(e21)]]) ).
cnf(refute_6_459,plain,
( op2(e22,e21) != e20
| e21 = e20
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_6_457,refute_6_458]) ).
cnf(refute_6_460,plain,
( e21 = e20
| op2(e22,e20) = e20
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_6_440,refute_6_459]) ).
cnf(refute_6_461,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_6_462,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_6_461,refute_6_250]) ).
cnf(refute_6_463,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_6_460,refute_6_462]) ).
cnf(refute_6_464,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(canonicalize,[],[normalize_6_84]) ).
cnf(refute_6_465,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = h4(e10) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_6_466,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_6_56,refute_6_465]) ).
cnf(refute_6_467,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)))]]) ).
cnf(refute_6_468,plain,
( op2(op2(e23,e23),op2(e23,e23)) != h4(e10)
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(h4(e10))]]) ).
cnf(refute_6_469,plain,
( op2(op2(e23,e23),op2(e23,e23)) != h4(e10)
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) )],[refute_6_467,refute_6_468]) ).
cnf(refute_6_470,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h4(e10)) )],[refute_6_466,refute_6_469]) ).
cnf(refute_6_471,plain,
( h4(e11) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) != op2(h4(e10),op2(e23,e23))
| h4(e11) = op2(h4(e10),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h4(e10),op2(e23,e23))) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)))]]) ).
cnf(refute_6_472,plain,
( h4(e11) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| h4(e11) = op2(h4(e10),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) )],[refute_6_470,refute_6_471]) ).
cnf(refute_6_473,plain,
h4(e11) = op2(h4(e10),op2(e23,e23)),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) )],[refute_6_464,refute_6_472]) ).
cnf(refute_6_474,plain,
op2(h1(e13),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e23,e23)))]]) ).
cnf(refute_6_475,plain,
( op2(e23,e23) != e20
| op2(h1(e13),op2(e23,e23)) != op2(h1(e13),op2(e23,e23))
| op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_476,plain,
( op2(e23,e23) != e20
| op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) )],[refute_6_474,refute_6_475]) ).
cnf(refute_6_477,plain,
op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_81,refute_6_476]) ).
cnf(refute_6_478,plain,
op2(h4(e10),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(h4(e10),op2(e23,e23)))]]) ).
cnf(refute_6_479,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),op2(e23,e23)) != op2(h4(e10),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_6_480,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) )],[refute_6_478,refute_6_479]) ).
cnf(refute_6_481,plain,
op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_6_98,refute_6_480]) ).
cnf(refute_6_482,plain,
( op2(h1(e13),op2(e23,e23)) != op2(h1(e13),e20)
| op2(h4(e10),op2(e23,e23)) != op2(h1(e13),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op2(h4(e10),op2(e23,e23)))),bind(Y,$fot(op2(h1(e13),op2(e23,e23)))),bind(Z,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_6_483,plain,
( op2(h1(e13),op2(e23,e23)) != op2(h1(e13),e20)
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) )],[refute_6_481,refute_6_482]) ).
cnf(refute_6_484,plain,
op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),e20)) )],[refute_6_477,refute_6_483]) ).
cnf(refute_6_485,plain,
( h4(e11) != op2(h4(e10),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) != op2(h1(e13),e20)
| h4(e11) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h1(e13),e20)) ),[0],$fot(op2(h4(e10),op2(e23,e23)))]]) ).
cnf(refute_6_486,plain,
( h4(e11) != op2(h4(e10),op2(e23,e23))
| h4(e11) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h1(e13),e20)) )],[refute_6_484,refute_6_485]) ).
cnf(refute_6_487,plain,
h4(e11) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e10),op2(e23,e23))) )],[refute_6_473,refute_6_486]) ).
cnf(refute_6_488,plain,
op2(h1(e13),e20) = op2(h1(e13),e20),
introduced(tautology,[refl,[$fot(op2(h1(e13),e20))]]) ).
cnf(refute_6_489,plain,
( h1(e13) != e22
| op2(h1(e13),e20) != op2(h1(e13),e20)
| op2(h1(e13),e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) ),[1,0],$fot(e22)]]) ).
cnf(refute_6_490,plain,
( h1(e13) != e22
| op2(h1(e13),e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) )],[refute_6_488,refute_6_489]) ).
cnf(refute_6_491,plain,
op2(h1(e13),e20) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_285,refute_6_490]) ).
cnf(refute_6_492,plain,
( h4(e11) != op2(h1(e13),e20)
| op2(h1(e13),e20) != op2(e22,e20)
| h4(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(e22,e20)) ),[0],$fot(op2(h1(e13),e20))]]) ).
cnf(refute_6_493,plain,
( h4(e11) != op2(h1(e13),e20)
| h4(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e22,e20)) )],[refute_6_491,refute_6_492]) ).
cnf(refute_6_494,plain,
h4(e11) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(e11),op2(h1(e13),e20)) )],[refute_6_487,refute_6_493]) ).
cnf(refute_6_495,plain,
( h4(e11) != op2(e22,e20)
| op2(e22,e20) = h4(e11) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_6_496,plain,
op2(e22,e20) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e22,e20)) )],[refute_6_494,refute_6_495]) ).
cnf(refute_6_497,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != h4(e11)
| h4(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(h4(e11))]]) ).
cnf(refute_6_498,plain,
( op2(e22,e20) != e20
| h4(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h4(e11)) )],[refute_6_496,refute_6_497]) ).
cnf(refute_6_499,plain,
( h4(e11) = e20
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_6_463,refute_6_498]) ).
cnf(refute_6_500,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != h4(e11)
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[0],$fot(h4(e11))]]) ).
cnf(refute_6_501,plain,
( op2(e22,e20) != e21
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h4(e11)) )],[refute_6_496,refute_6_500]) ).
cnf(refute_6_502,plain,
( h4(e11) = e20
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_6_499,refute_6_501]) ).
cnf(refute_6_503,plain,
( h4(e11) != e20
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e11)) = op2(e20,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_504,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(e11) = e21
| h4(op1(e11,e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_6_502,refute_6_503]) ).
cnf(refute_6_505,plain,
( h4(e11) = e21
| h4(op1(e11,e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_6_299,refute_6_504]) ).
cnf(refute_6_506,plain,
( h4(e11) != e20
| h4(op1(e11,e11)) != op2(e20,h4(e11))
| h4(op1(e11,e11)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),op2(e20,h4(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_507,plain,
( h4(op1(e11,e11)) != op2(e20,h4(e11))
| h4(e11) = e21
| h4(op1(e11,e11)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_6_502,refute_6_506]) ).
cnf(refute_6_508,plain,
( h4(e11) = e21
| h4(op1(e11,e11)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(e20,h4(e11))) )],[refute_6_505,refute_6_507]) ).
cnf(refute_6_509,plain,
( h1(e13) != e22
| h1(e13) != op2(e20,e20)
| e22 = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(e20,e20)) ),[0],$fot(e22)]]) ).
cnf(refute_6_510,plain,
( h1(e13) != op2(e20,e20)
| e22 = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_285,refute_6_509]) ).
cnf(refute_6_511,plain,
e22 = op2(e20,e20),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_6_11,refute_6_510]) ).
cnf(refute_6_512,plain,
( e22 != op2(e20,e20)
| op2(e20,e20) = e22 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_6_513,plain,
op2(e20,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e20)) )],[refute_6_511,refute_6_512]) ).
cnf(refute_6_514,plain,
( h4(op1(e11,e11)) != op2(e20,e20)
| op2(e20,e20) != e22
| h4(op1(e11,e11)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),e22) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_6_515,plain,
( h4(op1(e11,e11)) != op2(e20,e20)
| h4(op1(e11,e11)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_6_513,refute_6_514]) ).
cnf(refute_6_516,plain,
( h4(e11) = e21
| h4(op1(e11,e11)) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(e20,e20)) )],[refute_6_508,refute_6_515]) ).
cnf(refute_6_517,plain,
( h4(op1(e11,e11)) != e22
| h4(op1(e11,e11)) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),e22) ),[0],$fot(e23)]]) ).
cnf(refute_6_518,plain,
( h4(op1(e11,e11)) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e23) )],[refute_6_426,refute_6_517]) ).
cnf(refute_6_519,plain,
( e23 = e22
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e22) )],[refute_6_516,refute_6_518]) ).
cnf(refute_6_520,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_6_521,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_520,refute_6_294]) ).
cnf(refute_6_522,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_6_519,refute_6_521]) ).
cnf(refute_6_523,plain,
op2(e21,h4(e11)) = op2(e21,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e11)))]]) ).
cnf(refute_6_524,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_525,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) )],[refute_6_523,refute_6_524]) ).
cnf(refute_6_526,plain,
op2(e21,h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_522,refute_6_525]) ).
cnf(refute_6_527,plain,
op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_6_528,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_529,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_6_527,refute_6_528]) ).
cnf(refute_6_530,plain,
op2(h4(e11),h4(e11)) = op2(e21,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_522,refute_6_529]) ).
cnf(refute_6_531,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) != op2(e21,h4(e11))
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,h4(e11)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_6_532,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,h4(e11))) )],[refute_6_530,refute_6_531]) ).
cnf(refute_6_533,plain,
op2(h4(e11),h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,e21)) )],[refute_6_526,refute_6_532]) ).
cnf(refute_6_534,plain,
( op2(e21,e21) != h2(e13)
| op2(h4(e11),h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = h2(e13) ),
inference(subst,[],[refute_6_33:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_6_535,plain,
( op2(e21,e21) != h2(e13)
| op2(h4(e11),h4(e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,e21)) )],[refute_6_533,refute_6_534]) ).
cnf(refute_6_536,plain,
op2(h4(e11),h4(e11)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_6,refute_6_535]) ).
cnf(refute_6_537,plain,
( e23 != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) != h2(e13)
| e23 = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h2(e13)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_6_538,plain,
( e23 != op2(h4(e11),h4(e11))
| e23 = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e13)) )],[refute_6_536,refute_6_537]) ).
cnf(refute_6_539,plain,
e23 = h2(e13),
inference(resolve,[$cnf( $equal(e23,op2(h4(e11),h4(e11))) )],[refute_6_429,refute_6_538]) ).
cnf(refute_6_540,plain,
( e23 != h2(e13)
| h2(e13) = e23 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e23)),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_6_541,plain,
h2(e13) = e23,
inference(resolve,[$cnf( $equal(e23,h2(e13)) )],[refute_6_539,refute_6_540]) ).
cnf(refute_6_542,plain,
( e23 != e23
| h2(e13) != e23
| e23 = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h2(e13)) ),[1],$fot(e23)]]) ).
cnf(refute_6_543,plain,
( e23 != e23
| e23 = h2(e13) ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_6_541,refute_6_542]) ).
cnf(refute_6_544,plain,
e23 != e23,
inference(resolve,[$cnf( $equal(e23,h2(e13)) )],[refute_6_543,refute_6_298]) ).
cnf(refute_6_545,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_6_546,plain,
$false,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_545,refute_6_544]) ).
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,
( ( ( op2(e20,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) )
& ( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) )
& ( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_7_1,plain,
( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_2,plain,
( ( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e23,e22) != e23 )
& ( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e20) != e23
| op2(e23,e22) != e23
| op2(e21,e23) = e21 )
& ( op2(e23,e20) != e23
| op2(e21,e23) = e21
| op2(e22,e23) = e22 )
& ( op2(e23,e21) != e23
| op2(e23,e22) != e23
| op2(e20,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e23) = e20
| op2(e22,e23) = e22 )
& ( op2(e23,e22) != e23
| op2(e20,e23) = e20
| op2(e21,e23) = e21 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ) ),
inference(clausify,[],[normalize_7_1]) ).
fof(normalize_7_3,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(conjunct,[],[normalize_7_2]) ).
fof(normalize_7_4,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_7_5,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_6,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_7_7,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_7_6]) ).
fof(normalize_7_8,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_7_6]) ).
fof(normalize_7_9,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_7_6]) ).
fof(normalize_7_10,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_11,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_7_10]) ).
fof(normalize_7_12,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_7_13,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_14,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_15,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_16,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_7_17,plain,
e20 != e23,
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_18,plain,
e21 != e23,
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_19,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_20,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_7_21,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_7_20]) ).
fof(normalize_7_22,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_7_20]) ).
fof(normalize_7_23,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_24,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_7_20]) ).
fof(normalize_7_25,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_7_26,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_7_25]) ).
fof(normalize_7_27,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_28,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_23,normalize_7_24,normalize_7_26,normalize_7_27]) ).
fof(normalize_7_29,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_7_28]) ).
fof(normalize_7_30,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_31,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_32,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_33,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_34,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_35,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_7_36,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_7_35]) ).
fof(normalize_7_37,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_38,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_39,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_40,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_7_35]) ).
fof(normalize_7_41,plain,
op1(e12,e10) != op1(e12,e11),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_42,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_43,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_44,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_7_43]) ).
fof(normalize_7_45,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_46,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_47,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_48,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(conjunct,[],[normalize_7_35]) ).
fof(normalize_7_49,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(conjunct,[],[normalize_7_43]) ).
fof(normalize_7_50,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_51,plain,
op1(e11,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_52,plain,
op1(e12,e10) != op1(e12,e13),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_53,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_7_43]) ).
fof(normalize_7_54,plain,
op1(e12,e10) != op1(e12,e12),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_55,plain,
op1(e13,e10) != op1(e13,e11),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_56,plain,
( ( ( op1(e10,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) )
& ( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) )
& ( ( op1(e13,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e12,e13) = e12 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_7_57,plain,
( ( op1(e10,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) ),
inference(conjunct,[],[normalize_7_56]) ).
fof(normalize_7_58,plain,
( ( op1(e10,e11) != e10
| op1(e10,e12) != e10
| op1(e10,e13) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e12) != e10
| op1(e13,e10) = e13 )
& ( op1(e10,e11) != e10
| op1(e10,e13) != e10
| op1(e12,e10) = e12 )
& ( op1(e10,e11) != e10
| op1(e12,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e10,e12) != e10
| op1(e10,e13) != e10
| op1(e11,e10) = e11 )
& ( op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 )
& ( op1(e10,e13) != e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12 )
& ( op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 ) ),
inference(clausify,[],[normalize_7_57]) ).
fof(normalize_7_59,plain,
( op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_7_58]) ).
fof(normalize_7_60,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_61,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_7_43]) ).
fof(normalize_7_62,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_63,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_64,plain,
( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_7_56]) ).
fof(normalize_7_65,plain,
( ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e12,e13) != e12 )
& ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e13,e12) = e13 )
& ( op1(e12,e10) != e12
| op1(e12,e13) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e10) != e12
| op1(e11,e12) = e11
| op1(e13,e12) = e13 )
& ( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e10,e12) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e12) = e10
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e12
| op1(e10,e12) = e10
| op1(e11,e12) = e11 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ) ),
inference(clausify,[],[normalize_7_64]) ).
fof(normalize_7_66,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_7_65]) ).
fof(normalize_7_67,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_68,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_7_43]) ).
fof(normalize_7_69,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_70,plain,
( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) ),
inference(conjunct,[],[normalize_7_56]) ).
fof(normalize_7_71,plain,
( ( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e11,e13) != e11 )
& ( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e13,e11) = e13 )
& ( op1(e11,e10) != e11
| op1(e11,e13) != e11
| op1(e12,e11) = e12 )
& ( op1(e11,e10) != e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e11,e12) != e11
| op1(e11,e13) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e12) != e11
| op1(e10,e11) = e10
| op1(e13,e11) = e13 )
& ( op1(e11,e13) != e11
| op1(e10,e11) = e10
| op1(e12,e11) = e12 )
& ( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ) ),
inference(clausify,[],[normalize_7_70]) ).
fof(normalize_7_72,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_7_71]) ).
fof(normalize_7_73,plain,
op1(e10,e11) != op1(e10,e12),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_74,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_7_75,plain,
e10 != e11,
inference(conjunct,[],[normalize_7_74]) ).
fof(normalize_7_76,plain,
e11 != e12,
inference(conjunct,[],[normalize_7_74]) ).
fof(normalize_7_77,plain,
e10 != e12,
inference(conjunct,[],[normalize_7_74]) ).
fof(normalize_7_78,plain,
e12 != e13,
inference(conjunct,[],[normalize_7_74]) ).
fof(normalize_7_79,plain,
e11 != e13,
inference(conjunct,[],[normalize_7_74]) ).
fof(normalize_7_80,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_81,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_82,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_7_10]) ).
fof(normalize_7_83,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_84,plain,
( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) ),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_85,plain,
( ( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e23) != e21 )
& ( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e23,e21) = e23 )
& ( op2(e21,e20) != e21
| op2(e21,e23) != e21
| op2(e22,e21) = e22 )
& ( op2(e21,e20) != e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e21,e22) != e21
| op2(e21,e23) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e21) = e20
| op2(e23,e21) = e23 )
& ( op2(e21,e23) != e21
| op2(e20,e21) = e20
| op2(e22,e21) = e22 )
& ( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ) ),
inference(clausify,[],[normalize_7_84]) ).
fof(normalize_7_86,plain,
( op2(e21,e22) != e21
| op2(e20,e21) = e20
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_7_85]) ).
fof(normalize_7_87,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_88,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_7_87]) ).
fof(normalize_7_89,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_90,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_91,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_7_87]) ).
fof(normalize_7_92,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_93,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_94,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_95,plain,
( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_7_0]) ).
fof(normalize_7_96,plain,
( ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e22,e23) != e22 )
& ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e23,e22) = e23 )
& ( op2(e22,e20) != e22
| op2(e22,e23) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e20) != e22
| op2(e21,e22) = e21
| op2(e23,e22) = e23 )
& ( op2(e22,e21) != e22
| op2(e22,e23) != e22
| op2(e20,e22) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e22) = e20
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e22
| op2(e20,e22) = e20
| op2(e21,e22) = e21 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ) ),
inference(clausify,[],[normalize_7_95]) ).
fof(normalize_7_97,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_7_96]) ).
fof(normalize_7_98,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_99,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_7_87]) ).
fof(normalize_7_100,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_101,plain,
e20 != e22,
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_102,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_103,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(conjunct,[],[normalize_7_10]) ).
fof(normalize_7_104,plain,
op2(e22,e20) != op2(e22,e23),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_105,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_7_10]) ).
fof(normalize_7_106,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_107,plain,
op2(e21,e20) != op2(e21,e23),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_108,plain,
e22 != e23,
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_109,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_7_28]) ).
fof(normalize_7_110,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_111,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_7_14]) ).
cnf(refute_7_0,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(canonicalize,[],[normalize_7_3]) ).
cnf(refute_7_1,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_7_5]) ).
cnf(refute_7_2,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_7_7]) ).
cnf(refute_7_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_7_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_7_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_7_3,refute_7_4]) ).
cnf(refute_7_6,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_7_7,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_7_2,refute_7_6]) ).
cnf(refute_7_8,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_7_9,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_10,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_7_8,refute_7_9]) ).
cnf(refute_7_11,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_7,refute_7_10]) ).
cnf(refute_7_12,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_7_8]) ).
cnf(refute_7_13,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = e20 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_7_14,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_7_12,refute_7_13]) ).
cnf(refute_7_15,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_7_16,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) ),[1,0],$fot(e20)]]) ).
cnf(refute_7_17,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_7_15,refute_7_16]) ).
cnf(refute_7_18,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e20) )],[refute_7_14,refute_7_17]) ).
cnf(refute_7_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_7_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_7_5,refute_7_19]) ).
cnf(refute_7_21,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(subst,[],[refute_7_20:[bind(X,$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))),bind(Y,$fot(op2(e20,op2(e22,e22)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_7_22,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_7_18,refute_7_21]) ).
cnf(refute_7_23,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_7_11,refute_7_22]) ).
cnf(refute_7_24,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,e23)
| h3(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e20,e23)) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_7_25,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| h3(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,e23)) )],[refute_7_23,refute_7_24]) ).
cnf(refute_7_26,plain,
h3(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_7_1,refute_7_25]) ).
cnf(refute_7_27,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_7_28,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_7_26,refute_7_27]) ).
cnf(refute_7_29,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_7_30,plain,
( op2(e20,e23) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_7_28,refute_7_29]) ).
cnf(refute_7_31,plain,
( h3(e11) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_7_0,refute_7_30]) ).
cnf(refute_7_32,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_7_9]) ).
cnf(refute_7_33,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,op2(e22,e22))) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_7_34,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_7_18,refute_7_33]) ).
cnf(refute_7_35,plain,
e21 = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(e21,op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_7_32,refute_7_34]) ).
cnf(refute_7_36,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(subst,[],[refute_7_20:[bind(X,$fot(op2(e20,op2(e22,e22)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_7_37,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_7_11,refute_7_36]) ).
cnf(refute_7_38,plain,
op2(e20,op2(e22,e22)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_7_28,refute_7_37]) ).
cnf(refute_7_39,plain,
( e21 != op2(e20,op2(e22,e22))
| op2(e20,op2(e22,e22)) != h3(e11)
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[0],$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_7_40,plain,
( e21 != op2(e20,op2(e22,e22))
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),h3(e11)) )],[refute_7_38,refute_7_39]) ).
cnf(refute_7_41,plain,
e21 = h3(e11),
inference(resolve,[$cnf( $equal(e21,op2(e20,op2(e22,e22))) )],[refute_7_35,refute_7_40]) ).
cnf(refute_7_42,plain,
( e21 != h3(e11)
| h3(e11) = e21 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e21)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_7_43,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_7_41,refute_7_42]) ).
cnf(refute_7_44,plain,
( h3(e11) != e20
| h3(e11) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e20) ),[0],$fot(e21)]]) ).
cnf(refute_7_45,plain,
( h3(e11) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_7_43,refute_7_44]) ).
cnf(refute_7_46,plain,
( e21 = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_7_31,refute_7_45]) ).
cnf(refute_7_47,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_7_11]) ).
cnf(refute_7_48,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_7_49,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_7_28,refute_7_48]) ).
cnf(refute_7_50,plain,
( h3(e11) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_7_47,refute_7_49]) ).
cnf(refute_7_51,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_7_13]) ).
cnf(refute_7_52,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_7_53,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_7_51,refute_7_52]) ).
cnf(refute_7_54,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_7_55,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_53,refute_7_54]) ).
cnf(refute_7_56,plain,
( h3(e11) = e23
| h4(e13) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_7_50,refute_7_55]) ).
cnf(refute_7_57,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_7_15]) ).
cnf(refute_7_58,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_7_59,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_7,refute_7_58]) ).
cnf(refute_7_60,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_7_59,refute_7_57]) ).
cnf(refute_7_61,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_7_62,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_7_61,refute_7_60]) ).
cnf(refute_7_63,plain,
( h3(e11) = e23
| h4(e13) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_7_56,refute_7_62]) ).
cnf(refute_7_64,plain,
( h3(e11) != e21
| h3(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_7_65,plain,
( h3(e11) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_7_43,refute_7_64]) ).
cnf(refute_7_66,plain,
( e21 = e23
| h4(e13) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_7_63,refute_7_65]) ).
cnf(refute_7_67,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_7_68,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_69,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_7_67,refute_7_68]) ).
cnf(refute_7_70,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_7,refute_7_69]) ).
cnf(refute_7_71,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_7_72,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_7_73,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_7_71,refute_7_72]) ).
cnf(refute_7_74,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_7,refute_7_73]) ).
cnf(refute_7_75,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_7_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_7_76,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_7_74,refute_7_75]) ).
cnf(refute_7_77,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_7_70,refute_7_76]) ).
cnf(refute_7_78,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_7_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_7_79,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_7_77,refute_7_78]) ).
cnf(refute_7_80,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_53,refute_7_79]) ).
cnf(refute_7_81,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_7_82,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_7_80,refute_7_81]) ).
cnf(refute_7_83,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_7_12,refute_7_82]) ).
cnf(refute_7_84,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_7_85,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_7_83,refute_7_84]) ).
cnf(refute_7_86,plain,
( h4(e13) != e20
| h4(e13) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e20)]]) ).
cnf(refute_7_87,plain,
( h4(e13) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_7_85,refute_7_86]) ).
cnf(refute_7_88,plain,
( e20 = e23
| e21 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_66,refute_7_87]) ).
cnf(refute_7_89,plain,
e20 != e23,
inference(canonicalize,[],[normalize_7_17]) ).
cnf(refute_7_90,plain,
( e21 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_7_88,refute_7_89]) ).
cnf(refute_7_91,plain,
e21 != e23,
inference(canonicalize,[],[normalize_7_18]) ).
cnf(refute_7_92,plain,
op2(e21,e23) = e23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_7_90,refute_7_91]) ).
cnf(refute_7_93,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(e23)]]) ).
cnf(refute_7_94,plain,
( op2(e21,e23) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_7_92,refute_7_93]) ).
cnf(refute_7_95,plain,
( e21 = e20
| e23 = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_7_46,refute_7_94]) ).
cnf(refute_7_96,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_7_19]) ).
cnf(refute_7_97,plain,
( h3(e11) != op2(e23,e23)
| op2(e20,e23) != h3(e11)
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h3(e11)) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_7_98,plain,
( h3(e11) != op2(e23,e23)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_7_28,refute_7_97]) ).
cnf(refute_7_99,plain,
( h3(e11) != h4(e13)
| op2(e23,e23) != h4(e13)
| h3(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_7_100,plain,
( h3(e11) != h4(e13)
| h3(e11) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_53,refute_7_99]) ).
cnf(refute_7_101,plain,
( h3(e11) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,e23)) )],[refute_7_100,refute_7_98]) ).
cnf(refute_7_102,plain,
h3(e11) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_7_101,refute_7_96]) ).
cnf(refute_7_103,plain,
( e21 != h4(e13)
| h3(e11) != e21
| h3(e11) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[1],$fot(h4(e13))]]) ).
cnf(refute_7_104,plain,
( e21 != h4(e13)
| h3(e11) = h4(e13) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_7_43,refute_7_103]) ).
cnf(refute_7_105,plain,
( e21 != e20
| h4(e13) != e20
| e21 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_7_106,plain,
( e21 != e20
| e21 = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_7_85,refute_7_105]) ).
cnf(refute_7_107,plain,
( e21 != e20
| h3(e11) = h4(e13) ),
inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_7_106,refute_7_104]) ).
cnf(refute_7_108,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(h3(e11),h4(e13)) )],[refute_7_107,refute_7_102]) ).
cnf(refute_7_109,plain,
( e23 = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_7_95,refute_7_108]) ).
cnf(refute_7_110,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_7_111,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_7_110,refute_7_91]) ).
cnf(refute_7_112,plain,
op2(e22,e23) = e22,
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_7_109,refute_7_111]) ).
cnf(refute_7_113,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_7_21]) ).
cnf(refute_7_114,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_7_22]) ).
cnf(refute_7_115,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_7_116,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_7_114,refute_7_115]) ).
cnf(refute_7_117,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_7_118,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_7_119,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_7_117,refute_7_118]) ).
cnf(refute_7_120,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_116,refute_7_119]) ).
cnf(refute_7_121,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_7_122,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),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(e13))]]) ).
cnf(refute_7_123,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_7_121,refute_7_122]) ).
cnf(refute_7_124,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_116,refute_7_123]) ).
cnf(refute_7_125,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_7_20:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_7_126,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_7_124,refute_7_125]) ).
cnf(refute_7_127,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_7_120,refute_7_126]) ).
cnf(refute_7_128,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e10) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_7_129,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| h1(e10) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_7_127,refute_7_128]) ).
cnf(refute_7_130,plain,
h1(e10) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_7_113,refute_7_129]) ).
cnf(refute_7_131,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_7_29]) ).
cnf(refute_7_132,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) = h1(e10) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_7_133,plain,
op2(h1(e13),h1(e13)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_7_130,refute_7_132]) ).
cnf(refute_7_134,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_7_30]) ).
cnf(refute_7_135,plain,
( h4(e13) != e20
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_7_20:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_7_136,plain,
( h4(e13) != e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_53,refute_7_135]) ).
cnf(refute_7_137,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_7_85,refute_7_136]) ).
cnf(refute_7_138,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_7_139,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_7_140,plain,
( op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_7_138,refute_7_139]) ).
cnf(refute_7_141,plain,
op2(e20,op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_7_137,refute_7_140]) ).
cnf(refute_7_142,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_7_143,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,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(e20)]]) ).
cnf(refute_7_144,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_7_142,refute_7_143]) ).
cnf(refute_7_145,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_7_137,refute_7_144]) ).
cnf(refute_7_146,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(subst,[],[refute_7_20:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_7_147,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_7_145,refute_7_146]) ).
cnf(refute_7_148,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_7_141,refute_7_147]) ).
cnf(refute_7_149,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(subst,[],[refute_7_20:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_7_150,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_7_148,refute_7_149]) ).
cnf(refute_7_151,plain,
op2(op2(e23,e23),op2(e23,e23)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_116,refute_7_150]) ).
cnf(refute_7_152,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_7_153,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h1(e13)) )],[refute_7_151,refute_7_152]) ).
cnf(refute_7_154,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_7_134,refute_7_153]) ).
cnf(refute_7_155,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e10)))]]) ).
cnf(refute_7_156,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_7_157,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_7_155,refute_7_156]) ).
cnf(refute_7_158,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_7_154,refute_7_157]) ).
cnf(refute_7_159,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_7_160,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_7_161,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_7_159,refute_7_160]) ).
cnf(refute_7_162,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_7_154,refute_7_161]) ).
cnf(refute_7_163,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_7_20:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h4(e10)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_7_164,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_7_162,refute_7_163]) ).
cnf(refute_7_165,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_7_158,refute_7_164]) ).
cnf(refute_7_166,plain,
( op2(h1(e13),h1(e13)) != h1(e10)
| op2(h4(e10),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = h1(e10) ),
inference(subst,[],[refute_7_20:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h1(e13)))),bind(Z,$fot(h1(e10)))]]) ).
cnf(refute_7_167,plain,
( op2(h1(e13),h1(e13)) != h1(e10)
| op2(h4(e10),h4(e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_7_165,refute_7_166]) ).
cnf(refute_7_168,plain,
op2(h4(e10),h4(e10)) = h1(e10),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),h1(e10)) )],[refute_7_133,refute_7_167]) ).
cnf(refute_7_169,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e10)
| h4(op1(e10,e10)) = h1(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e10)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_7_170,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e10)) )],[refute_7_168,refute_7_169]) ).
cnf(refute_7_171,plain,
h4(op1(e10,e10)) = h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_7_131,refute_7_170]) ).
cnf(refute_7_172,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_7_32]) ).
cnf(refute_7_173,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_7_34]) ).
cnf(refute_7_174,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_7_36]) ).
cnf(refute_7_175,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_7_176,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_7_174,refute_7_175]) ).
cnf(refute_7_177,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_7_178,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_176,refute_7_177]) ).
cnf(refute_7_179,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_7_178,refute_7_173]) ).
cnf(refute_7_180,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_7_172,refute_7_179]) ).
cnf(refute_7_181,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(canonicalize,[],[normalize_7_37]) ).
cnf(refute_7_182,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference(canonicalize,[],[normalize_7_38]) ).
cnf(refute_7_183,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_7_39]) ).
cnf(refute_7_184,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_7_40]) ).
cnf(refute_7_185,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_7_186,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_7_187,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_7_185,refute_7_186]) ).
cnf(refute_7_188,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_176,refute_7_187]) ).
cnf(refute_7_189,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_7_190,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_7_191,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_7_189,refute_7_190]) ).
cnf(refute_7_192,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_176,refute_7_191]) ).
cnf(refute_7_193,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_7_20:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_7_194,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_7_192,refute_7_193]) ).
cnf(refute_7_195,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_7_188,refute_7_194]) ).
cnf(refute_7_196,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_7_197,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_7_195,refute_7_196]) ).
cnf(refute_7_198,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_7_184,refute_7_197]) ).
cnf(refute_7_199,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_7_200,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_7_198,refute_7_199]) ).
cnf(refute_7_201,plain,
( op1(e13,e11) != e10
| op1(e13,e13) != e10
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_7_202,plain,
( op1(e13,e11) != e10
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_7_200,refute_7_201]) ).
cnf(refute_7_203,plain,
op1(e13,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_7_202,refute_7_183]) ).
cnf(refute_7_204,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_7_182,refute_7_203]) ).
cnf(refute_7_205,plain,
op1(e12,e10) != op1(e12,e11),
inference(canonicalize,[],[normalize_7_41]) ).
cnf(refute_7_206,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_7_42]) ).
cnf(refute_7_207,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_7_44]) ).
cnf(refute_7_208,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_7_45]) ).
cnf(refute_7_209,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_7_210,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_176,refute_7_209]) ).
cnf(refute_7_211,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_7_210,refute_7_208]) ).
cnf(refute_7_212,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_7_213,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_7_212,refute_7_211]) ).
cnf(refute_7_214,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_7_207,refute_7_213]) ).
cnf(refute_7_215,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_7_46]) ).
cnf(refute_7_216,plain,
( op1(e12,e13) != e10
| op1(e13,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_7_217,plain,
( op1(e12,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_7_200,refute_7_216]) ).
cnf(refute_7_218,plain,
op1(e12,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_7_217,refute_7_215]) ).
cnf(refute_7_219,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_7_214,refute_7_218]) ).
cnf(refute_7_220,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_7_47]) ).
cnf(refute_7_221,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(canonicalize,[],[normalize_7_48]) ).
cnf(refute_7_222,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = e10 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e12,e12),op1(e12,e12))))]]) ).
cnf(refute_7_223,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_7_184,refute_7_222]) ).
cnf(refute_7_224,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_7_225,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_7_226,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_7_224,refute_7_225]) ).
cnf(refute_7_227,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e10) )],[refute_7_223,refute_7_226]) ).
cnf(refute_7_228,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(e10,op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,op1(e12,e12))) ),[0],$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_7_229,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_7_227,refute_7_228]) ).
cnf(refute_7_230,plain,
e11 = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(e11,op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_7_221,refute_7_229]) ).
cnf(refute_7_231,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_7_232,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_7_233,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_7_231,refute_7_232]) ).
cnf(refute_7_234,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_176,refute_7_233]) ).
cnf(refute_7_235,plain,
( e11 != op1(e10,op1(e12,e12))
| op1(e10,op1(e12,e12)) != op1(e10,e13)
| e11 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e13)) ),[0],$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_7_236,plain,
( e11 != op1(e10,op1(e12,e12))
| e11 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_7_234,refute_7_235]) ).
cnf(refute_7_237,plain,
e11 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e11,op1(e10,op1(e12,e12))) )],[refute_7_230,refute_7_236]) ).
cnf(refute_7_238,plain,
( e11 != op1(e10,e13)
| op1(e10,e13) = e11 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_7_239,plain,
op1(e10,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_7_237,refute_7_238]) ).
cnf(refute_7_240,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_7_241,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_7_239,refute_7_240]) ).
cnf(refute_7_242,plain,
e11 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_7_241,refute_7_220]) ).
cnf(refute_7_243,plain,
( op1(e12,e13) != e11
| e11 = op1(e12,e13) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e11))]]) ).
cnf(refute_7_244,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_7_243,refute_7_242]) ).
cnf(refute_7_245,plain,
op1(e12,e13) = e12,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_7_219,refute_7_244]) ).
cnf(refute_7_246,plain,
( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_7_247,plain,
( op1(e12,e11) != e12
| op1(e12,e11) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_7_245,refute_7_246]) ).
cnf(refute_7_248,plain,
op1(e12,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_7_247,refute_7_206]) ).
cnf(refute_7_249,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(canonicalize,[],[normalize_7_49]) ).
cnf(refute_7_250,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_7_50]) ).
cnf(refute_7_251,plain,
( op1(e12,e11) != e13
| op1(e12,e12) != e13
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_7_252,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_176,refute_7_251]) ).
cnf(refute_7_253,plain,
op1(e12,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_7_252,refute_7_250]) ).
cnf(refute_7_254,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_7_249,refute_7_253]) ).
cnf(refute_7_255,plain,
( e12 != e12
| op1(e12,e11) != e12
| op1(e12,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0,0],$fot(e12)]]) ).
cnf(refute_7_256,plain,
( e12 != e12
| op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_7_254,refute_7_255]) ).
cnf(refute_7_257,plain,
( e12 != e12
| op1(e12,e11) = e10
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_7_256,refute_7_248]) ).
cnf(refute_7_258,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_7_259,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_7_258,refute_7_257]) ).
cnf(refute_7_260,plain,
( op1(e12,e10) != e10
| op1(e12,e11) != e10
| op1(e12,e10) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_7_261,plain,
( op1(e12,e10) != e10
| op1(e12,e10) = op1(e12,e11)
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_7_259,refute_7_260]) ).
cnf(refute_7_262,plain,
( op1(e12,e10) != e10
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e11)) )],[refute_7_261,refute_7_205]) ).
cnf(refute_7_263,plain,
op1(e11,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_7_51]) ).
cnf(refute_7_264,plain,
op1(e12,e10) != op1(e12,e13),
inference(canonicalize,[],[normalize_7_52]) ).
cnf(refute_7_265,plain,
( op1(e12,e10) != e12
| op1(e12,e13) != e12
| op1(e12,e10) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_7_266,plain,
( op1(e12,e10) != e12
| op1(e12,e10) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_7_245,refute_7_265]) ).
cnf(refute_7_267,plain,
op1(e12,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e13)) )],[refute_7_266,refute_7_264]) ).
cnf(refute_7_268,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_7_53]) ).
cnf(refute_7_269,plain,
op1(e12,e10) != op1(e12,e12),
inference(canonicalize,[],[normalize_7_54]) ).
cnf(refute_7_270,plain,
( op1(e12,e10) != e13
| op1(e12,e12) != e13
| op1(e12,e10) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_7_271,plain,
( op1(e12,e10) != e13
| op1(e12,e10) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_176,refute_7_270]) ).
cnf(refute_7_272,plain,
op1(e12,e10) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_7_271,refute_7_269]) ).
cnf(refute_7_273,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_7_268,refute_7_272]) ).
cnf(refute_7_274,plain,
( e12 != e12
| op1(e12,e10) != e12
| op1(e12,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[0,0],$fot(e12)]]) ).
cnf(refute_7_275,plain,
( e12 != e12
| op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_7_273,refute_7_274]) ).
cnf(refute_7_276,plain,
( e12 != e12
| op1(e12,e10) = e10
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_7_275,refute_7_267]) ).
cnf(refute_7_277,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_7_258,refute_7_276]) ).
cnf(refute_7_278,plain,
( op1(e11,e10) != e11
| op1(e12,e10) != e11
| op1(e11,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e12,e10)) ),[1],$fot(e11)]]) ).
cnf(refute_7_279,plain,
( op1(e11,e10) != e11
| op1(e11,e10) = op1(e12,e10)
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_7_277,refute_7_278]) ).
cnf(refute_7_280,plain,
( op1(e11,e10) != e11
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,e10)) )],[refute_7_279,refute_7_263]) ).
cnf(refute_7_281,plain,
op1(e13,e10) != op1(e13,e11),
inference(canonicalize,[],[normalize_7_55]) ).
cnf(refute_7_282,plain,
( op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_7_59]) ).
cnf(refute_7_283,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_7_60]) ).
cnf(refute_7_284,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_7_61]) ).
cnf(refute_7_285,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_7_284,refute_7_179]) ).
cnf(refute_7_286,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_7_62]) ).
cnf(refute_7_287,plain,
( op1(e10,e12) != e11
| op1(e10,e13) != e11
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_7_288,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_7_239,refute_7_287]) ).
cnf(refute_7_289,plain,
op1(e10,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_7_288,refute_7_286]) ).
cnf(refute_7_290,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_7_285,refute_7_289]) ).
cnf(refute_7_291,plain,
( e12 != op1(e13,e12)
| op1(e10,e12) != e12
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_7_292,plain,
( e12 != op1(e13,e12)
| op1(e10,e12) = e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_7_290,refute_7_291]) ).
cnf(refute_7_293,plain,
( e12 != op1(e13,e12)
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_7_292,refute_7_283]) ).
cnf(refute_7_294,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_7_63]) ).
cnf(refute_7_295,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_7_66]) ).
cnf(refute_7_296,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_7_67]) ).
cnf(refute_7_297,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_7_298,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_176,refute_7_297]) ).
cnf(refute_7_299,plain,
e13 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_7_298,refute_7_296]) ).
cnf(refute_7_300,plain,
( op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).
cnf(refute_7_301,plain,
op1(e13,e12) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_7_300,refute_7_299]) ).
cnf(refute_7_302,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_7_295,refute_7_301]) ).
cnf(refute_7_303,plain,
( e11 != op1(e13,e12)
| op1(e11,e12) != e11
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_7_304,plain,
( e11 != op1(e13,e12)
| op1(e10,e12) = e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_7_302,refute_7_303]) ).
cnf(refute_7_305,plain,
( e11 != op1(e13,e12)
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_7_304,refute_7_294]) ).
cnf(refute_7_306,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_7_68]) ).
cnf(refute_7_307,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_7_306,refute_7_301]) ).
cnf(refute_7_308,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_7_69]) ).
cnf(refute_7_309,plain,
( op1(e13,e12) != e10
| op1(e13,e13) != e10
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_7_310,plain,
( op1(e13,e12) != e10
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_7_200,refute_7_309]) ).
cnf(refute_7_311,plain,
op1(e13,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_7_310,refute_7_308]) ).
cnf(refute_7_312,plain,
( op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_7_307,refute_7_311]) ).
cnf(refute_7_313,plain,
( e11 != e11
| op1(e13,e12) != e11
| e11 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_7_314,plain,
( e11 != e11
| e11 = op1(e13,e12)
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_7_312,refute_7_313]) ).
cnf(refute_7_315,plain,
( e11 != e11
| op1(e10,e12) = e10
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,op1(e13,e12)) )],[refute_7_314,refute_7_305]) ).
cnf(refute_7_316,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_7_317,plain,
( op1(e10,e12) = e10
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_7_316,refute_7_315]) ).
cnf(refute_7_318,plain,
( e12 != e12
| op1(e13,e12) != e12
| e12 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_7_319,plain,
( e12 != e12
| e12 = op1(e13,e12)
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_7_317,refute_7_318]) ).
cnf(refute_7_320,plain,
( e12 != e12
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e12)) )],[refute_7_319,refute_7_293]) ).
cnf(refute_7_321,plain,
op1(e10,e12) = e10,
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_7_258,refute_7_320]) ).
cnf(refute_7_322,plain,
( e10 != e10
| op1(e10,e12) != e10
| op1(e10,e12) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_7_323,plain,
( e10 != e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_7_321,refute_7_322]) ).
cnf(refute_7_324,plain,
( e10 != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_7_323,refute_7_282]) ).
cnf(refute_7_325,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_7_326,plain,
( op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_7_325,refute_7_324]) ).
cnf(refute_7_327,plain,
( e13 != op1(e13,e11)
| op1(e13,e10) != e13
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[1],$fot(op1(e13,e11))]]) ).
cnf(refute_7_328,plain,
( e13 != op1(e13,e11)
| op1(e11,e10) = e11
| op1(e13,e10) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_7_326,refute_7_327]) ).
cnf(refute_7_329,plain,
( e13 != op1(e13,e11)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_7_328,refute_7_281]) ).
cnf(refute_7_330,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_7_72]) ).
cnf(refute_7_331,plain,
( e13 != e13
| op1(e13,e11) != e13
| e13 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_7_332,plain,
( e13 != e13
| e13 = op1(e13,e11)
| op1(e10,e11) = e10
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_7_330,refute_7_331]) ).
cnf(refute_7_333,plain,
( e13 != e13
| op1(e10,e11) = e10
| op1(e11,e10) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e11)) )],[refute_7_332,refute_7_329]) ).
cnf(refute_7_334,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_7_335,plain,
( op1(e10,e11) = e10
| op1(e11,e10) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_7_334,refute_7_333]) ).
cnf(refute_7_336,plain,
op1(e10,e11) != op1(e10,e12),
inference(canonicalize,[],[normalize_7_73]) ).
cnf(refute_7_337,plain,
( op1(e10,e11) != e10
| op1(e10,e12) != e10
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_7_338,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_7_321,refute_7_337]) ).
cnf(refute_7_339,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_7_338,refute_7_336]) ).
cnf(refute_7_340,plain,
( op1(e11,e10) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_7_335,refute_7_339]) ).
cnf(refute_7_341,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_7_340,refute_7_248]) ).
cnf(refute_7_342,plain,
( e11 != e11
| op1(e11,e10) != e11
| op1(e11,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_7_343,plain,
( e11 != e11
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_7_341,refute_7_342]) ).
cnf(refute_7_344,plain,
( e11 != e11
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_7_343,refute_7_280]) ).
cnf(refute_7_345,plain,
op1(e12,e10) = e10,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_7_316,refute_7_344]) ).
cnf(refute_7_346,plain,
( e10 != e10
| op1(e12,e10) != e10
| op1(e12,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_7_347,plain,
( e10 != e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_7_345,refute_7_346]) ).
cnf(refute_7_348,plain,
( e10 != e10
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_7_347,refute_7_262]) ).
cnf(refute_7_349,plain,
op1(e12,e11) = e11,
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_7_325,refute_7_348]) ).
cnf(refute_7_350,plain,
( op1(e12,e11) != e10
| op1(e12,e11) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e10) ),[0],$fot(e11)]]) ).
cnf(refute_7_351,plain,
( op1(e12,e11) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_7_349,refute_7_350]) ).
cnf(refute_7_352,plain,
( e11 = e10
| op1(e10,e11) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_7_204,refute_7_351]) ).
cnf(refute_7_353,plain,
e10 != e11,
inference(canonicalize,[],[normalize_7_75]) ).
cnf(refute_7_354,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_7_355,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_7_354,refute_7_353]) ).
cnf(refute_7_356,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_7_352,refute_7_355]) ).
cnf(refute_7_357,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_7_356,refute_7_339]) ).
cnf(refute_7_358,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_7_359,plain,
( op1(e11,e11) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_7_357,refute_7_358]) ).
cnf(refute_7_360,plain,
( e10 = e12
| op1(e10,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_7_181,refute_7_359]) ).
cnf(refute_7_361,plain,
( op1(e12,e11) != e11
| op1(e12,e11) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0],$fot(e11)]]) ).
cnf(refute_7_362,plain,
( op1(e12,e11) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_7_349,refute_7_361]) ).
cnf(refute_7_363,plain,
( e10 = e12
| e11 = e12
| op1(e10,e11) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_7_360,refute_7_362]) ).
cnf(refute_7_364,plain,
( e11 = e12
| op1(e10,e11) = e10
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_7_330,refute_7_362]) ).
cnf(refute_7_365,plain,
e11 != e12,
inference(canonicalize,[],[normalize_7_76]) ).
cnf(refute_7_366,plain,
( op1(e10,e11) = e10
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_7_364,refute_7_365]) ).
cnf(refute_7_367,plain,
op1(e13,e11) = e13,
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_7_366,refute_7_339]) ).
cnf(refute_7_368,plain,
( op1(e13,e11) != e12
| op1(e13,e11) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(e13)]]) ).
cnf(refute_7_369,plain,
( op1(e13,e11) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_7_367,refute_7_368]) ).
cnf(refute_7_370,plain,
( e10 = e12
| e11 = e12
| e13 = e12
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_7_363,refute_7_369]) ).
cnf(refute_7_371,plain,
e10 != e12,
inference(canonicalize,[],[normalize_7_77]) ).
cnf(refute_7_372,plain,
( e11 = e12
| e13 = e12
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_7_370,refute_7_371]) ).
cnf(refute_7_373,plain,
( e13 = e12
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_7_372,refute_7_365]) ).
cnf(refute_7_374,plain,
e12 != e13,
inference(canonicalize,[],[normalize_7_78]) ).
cnf(refute_7_375,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_7_376,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_7_375,refute_7_374]) ).
cnf(refute_7_377,plain,
op1(e10,e11) = e12,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_7_373,refute_7_376]) ).
cnf(refute_7_378,plain,
( op1(e10,e11) != e12
| op1(e10,e11) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e12)]]) ).
cnf(refute_7_379,plain,
( op1(e10,e11) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_7_377,refute_7_378]) ).
cnf(refute_7_380,plain,
( e12 = e13
| op1(e10,e10) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_7_180,refute_7_379]) ).
cnf(refute_7_381,plain,
( op1(e10,e13) != e11
| op1(e10,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_7_382,plain,
( op1(e10,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_7_239,refute_7_381]) ).
cnf(refute_7_383,plain,
( e11 = e13
| e12 = e13
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_7_380,refute_7_382]) ).
cnf(refute_7_384,plain,
e11 != e13,
inference(canonicalize,[],[normalize_7_79]) ).
cnf(refute_7_385,plain,
( e12 = e13
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_7_383,refute_7_384]) ).
cnf(refute_7_386,plain,
op1(e10,e10) = e13,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_7_385,refute_7_374]) ).
cnf(refute_7_387,plain,
h4(op1(e10,e10)) = h4(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).
cnf(refute_7_388,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_7_389,plain,
( op1(e10,e10) != e13
| h4(op1(e10,e10)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_7_387,refute_7_388]) ).
cnf(refute_7_390,plain,
h4(op1(e10,e10)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_7_386,refute_7_389]) ).
cnf(refute_7_391,plain,
( h4(e13) != e20
| h4(op1(e10,e10)) != h4(e13)
| h4(op1(e10,e10)) = e20 ),
inference(subst,[],[refute_7_20:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_7_392,plain,
( h4(e13) != e20
| h4(op1(e10,e10)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e13)) )],[refute_7_390,refute_7_391]) ).
cnf(refute_7_393,plain,
h4(op1(e10,e10)) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_7_85,refute_7_392]) ).
cnf(refute_7_394,plain,
( h4(op1(e10,e10)) != e20
| h4(op1(e10,e10)) != h1(e10)
| e20 = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) ),[0],$fot(e20)]]) ).
cnf(refute_7_395,plain,
( h4(op1(e10,e10)) != h1(e10)
| e20 = h1(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e20) )],[refute_7_393,refute_7_394]) ).
cnf(refute_7_396,plain,
e20 = h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) )],[refute_7_171,refute_7_395]) ).
cnf(refute_7_397,plain,
( e20 != h1(e10)
| h1(e10) = e20 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e20)),bind(Y,$fot(h1(e10)))]]) ).
cnf(refute_7_398,plain,
h1(e10) = e20,
inference(resolve,[$cnf( $equal(e20,h1(e10)) )],[refute_7_396,refute_7_397]) ).
cnf(refute_7_399,plain,
( h1(e10) != e20
| h1(e10) != op2(h1(e13),h1(e13))
| e20 = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) ),[0],$fot(e20)]]) ).
cnf(refute_7_400,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| e20 = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_7_398,refute_7_399]) ).
cnf(refute_7_401,plain,
e20 = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_7_130,refute_7_400]) ).
cnf(refute_7_402,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_7_80]) ).
cnf(refute_7_403,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_7_81]) ).
cnf(refute_7_404,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_7_82]) ).
cnf(refute_7_405,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_7_406,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_116,refute_7_405]) ).
cnf(refute_7_407,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_7_404,refute_7_406]) ).
cnf(refute_7_408,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_7_407,refute_7_49]) ).
cnf(refute_7_409,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_7_83]) ).
cnf(refute_7_410,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_7_411,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_7,refute_7_410]) ).
cnf(refute_7_412,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_7_411,refute_7_409]) ).
cnf(refute_7_413,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_7_408,refute_7_412]) ).
cnf(refute_7_414,plain,
( e21 = e23
| h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_7_413,refute_7_65]) ).
cnf(refute_7_415,plain,
( h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_7_414,refute_7_91]) ).
cnf(refute_7_416,plain,
( e23 != op2(e23,e21)
| op2(e20,e21) != e23
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_7_417,plain,
( e23 != op2(e23,e21)
| h1(e13) = e23
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_7_415,refute_7_416]) ).
cnf(refute_7_418,plain,
( e23 != op2(e23,e21)
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_7_417,refute_7_403]) ).
cnf(refute_7_419,plain,
( op2(e21,e22) != e21
| op2(e20,e21) = e20
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_7_86]) ).
cnf(refute_7_420,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_7_88]) ).
cnf(refute_7_421,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_7_89]) ).
cnf(refute_7_422,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_7_423,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_7,refute_7_422]) ).
cnf(refute_7_424,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_7_423,refute_7_421]) ).
cnf(refute_7_425,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_7_420,refute_7_424]) ).
cnf(refute_7_426,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_7_90]) ).
cnf(refute_7_427,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_7_91]) ).
cnf(refute_7_428,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_7_427,refute_7_412]) ).
cnf(refute_7_429,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_7_92]) ).
cnf(refute_7_430,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e23) != h3(e11)
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_7_431,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_7_28,refute_7_430]) ).
cnf(refute_7_432,plain,
op2(e20,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_7_431,refute_7_429]) ).
cnf(refute_7_433,plain,
( h3(e11) != e21
| op2(e20,e22) != e21
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_7_434,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_7_43,refute_7_433]) ).
cnf(refute_7_435,plain,
op2(e20,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_7_434,refute_7_432]) ).
cnf(refute_7_436,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_7_428,refute_7_435]) ).
cnf(refute_7_437,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_7_93]) ).
cnf(refute_7_438,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_7_94]) ).
cnf(refute_7_439,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_7_97]) ).
cnf(refute_7_440,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_7_98]) ).
cnf(refute_7_441,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_7_442,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_7,refute_7_441]) ).
cnf(refute_7_443,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_7_442,refute_7_440]) ).
cnf(refute_7_444,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_7_445,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_7_444,refute_7_443]) ).
cnf(refute_7_446,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_7_439,refute_7_445]) ).
cnf(refute_7_447,plain,
( e21 != op2(e23,e22)
| op2(e21,e22) != e21
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_7_448,plain,
( e21 != op2(e23,e22)
| op2(e20,e22) = e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_7_446,refute_7_447]) ).
cnf(refute_7_449,plain,
( e21 != op2(e23,e22)
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_7_448,refute_7_438]) ).
cnf(refute_7_450,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_7_99]) ).
cnf(refute_7_451,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_7_450,refute_7_445]) ).
cnf(refute_7_452,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_7_100]) ).
cnf(refute_7_453,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_7_454,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_53,refute_7_453]) ).
cnf(refute_7_455,plain,
op2(e23,e22) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_7_454,refute_7_452]) ).
cnf(refute_7_456,plain,
( h4(e13) != e20
| op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_7_457,plain,
( op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_7_85,refute_7_456]) ).
cnf(refute_7_458,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),h4(e13)) )],[refute_7_457,refute_7_455]) ).
cnf(refute_7_459,plain,
( op2(e23,e22) = e21
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_7_451,refute_7_458]) ).
cnf(refute_7_460,plain,
( e21 != e21
| op2(e23,e22) != e21
| e21 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e23,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_7_461,plain,
( e21 != e21
| e21 = op2(e23,e22)
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_7_459,refute_7_460]) ).
cnf(refute_7_462,plain,
( e21 != e21
| op2(e20,e22) = e20
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e22)) )],[refute_7_461,refute_7_449]) ).
cnf(refute_7_463,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_7_464,plain,
( op2(e20,e22) = e20
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_463,refute_7_462]) ).
cnf(refute_7_465,plain,
( op2(e20,e22) != e22
| op2(e23,e22) != e22
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_7_466,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_7_464,refute_7_465]) ).
cnf(refute_7_467,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_7_466,refute_7_437]) ).
cnf(refute_7_468,plain,
( op2(e20,e22) != e20
| op2(e20,e22) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0],$fot(e22)]]) ).
cnf(refute_7_469,plain,
( op2(e20,e22) != e22
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_7_467,refute_7_468]) ).
cnf(refute_7_470,plain,
e20 != e22,
inference(canonicalize,[],[normalize_7_101]) ).
cnf(refute_7_471,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_7_472,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_7_471,refute_7_470]) ).
cnf(refute_7_473,plain,
op2(e20,e22) != e22,
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_7_469,refute_7_472]) ).
cnf(refute_7_474,plain,
op2(e20,e22) = e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_7_436,refute_7_473]) ).
cnf(refute_7_475,plain,
( e20 != op2(e21,e22)
| op2(e20,e22) != e20
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_7_476,plain,
( e20 != op2(e21,e22)
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_7_474,refute_7_475]) ).
cnf(refute_7_477,plain,
e20 != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_7_476,refute_7_426]) ).
cnf(refute_7_478,plain,
( op2(e21,e22) != e20
| e20 = op2(e21,e22) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op2(e21,e22))),bind(Y,$fot(e20))]]) ).
cnf(refute_7_479,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e22)) )],[refute_7_478,refute_7_477]) ).
cnf(refute_7_480,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_7_425,refute_7_479]) ).
cnf(refute_7_481,plain,
( e21 != e21
| op2(e21,e22) != e21
| op2(e21,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_7_482,plain,
( e21 != e21
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_7_480,refute_7_481]) ).
cnf(refute_7_483,plain,
( e21 != e21
| op2(e20,e21) = e20
| op2(e21,e22) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_7_482,refute_7_419]) ).
cnf(refute_7_484,plain,
( op2(e20,e21) = e20
| op2(e21,e22) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_7_463,refute_7_483]) ).
cnf(refute_7_485,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_7_102]) ).
cnf(refute_7_486,plain,
( op2(e20,e21) != e20
| op2(e20,e22) != e20
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_7_487,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_7_474,refute_7_486]) ).
cnf(refute_7_488,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_7_487,refute_7_485]) ).
cnf(refute_7_489,plain,
( op2(e21,e22) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_7_484,refute_7_488]) ).
cnf(refute_7_490,plain,
( e23 != e23
| op2(e23,e21) != e23
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_7_491,plain,
( e23 != e23
| e23 = op2(e23,e21)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_7_489,refute_7_490]) ).
cnf(refute_7_492,plain,
( e23 != e23
| h1(e13) = e23
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_7_491,refute_7_418]) ).
cnf(refute_7_493,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_7_494,plain,
( h1(e13) = e23
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_493,refute_7_492]) ).
cnf(refute_7_495,plain,
( op2(e21,e20) != e22
| op2(e21,e22) != e22
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_7_496,plain,
( op2(e21,e20) != e22
| h1(e13) = e23
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_7_494,refute_7_495]) ).
cnf(refute_7_497,plain,
( op2(e21,e20) != e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_7_496,refute_7_402]) ).
cnf(refute_7_498,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(canonicalize,[],[normalize_7_103]) ).
cnf(refute_7_499,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_7_500,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_116,refute_7_499]) ).
cnf(refute_7_501,plain,
( h1(e13) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_7_498,refute_7_500]) ).
cnf(refute_7_502,plain,
op2(e22,e20) != op2(e22,e23),
inference(canonicalize,[],[normalize_7_104]) ).
cnf(refute_7_503,plain,
( op2(e22,e20) != e22
| op2(e22,e23) != e22
| op2(e22,e20) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_7_504,plain,
( op2(e22,e20) != e22
| op2(e22,e20) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_7_112,refute_7_503]) ).
cnf(refute_7_505,plain,
op2(e22,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e23)) )],[refute_7_504,refute_7_502]) ).
cnf(refute_7_506,plain,
( h1(e13) = e22
| op2(e21,e20) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_7_501,refute_7_505]) ).
cnf(refute_7_507,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_7_105]) ).
cnf(refute_7_508,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_7_507,refute_7_406]) ).
cnf(refute_7_509,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_7_106]) ).
cnf(refute_7_510,plain,
( op2(e22,e20) != e23
| op2(e22,e22) != e23
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_7_511,plain,
( op2(e22,e20) != e23
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_7,refute_7_510]) ).
cnf(refute_7_512,plain,
op2(e22,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_7_511,refute_7_509]) ).
cnf(refute_7_513,plain,
( h1(e13) = e23
| op2(e21,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_7_508,refute_7_512]) ).
cnf(refute_7_514,plain,
op2(e21,e20) != op2(e21,e23),
inference(canonicalize,[],[normalize_7_107]) ).
cnf(refute_7_515,plain,
( op2(e21,e20) != e23
| op2(e21,e23) != e23
| op2(e21,e20) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_7_516,plain,
( op2(e21,e20) != e23
| op2(e21,e20) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_7_92,refute_7_515]) ).
cnf(refute_7_517,plain,
op2(e21,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e23)) )],[refute_7_516,refute_7_514]) ).
cnf(refute_7_518,plain,
( h1(e13) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_7_513,refute_7_517]) ).
cnf(refute_7_519,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[0],$fot(e23)]]) ).
cnf(refute_7_520,plain,
( op2(e23,e20) != e22
| e23 = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_7_518,refute_7_519]) ).
cnf(refute_7_521,plain,
( e23 = e22
| h1(e13) = e22
| h1(e13) = e23
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_7_506,refute_7_520]) ).
cnf(refute_7_522,plain,
e22 != e23,
inference(canonicalize,[],[normalize_7_108]) ).
cnf(refute_7_523,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_7_524,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_7_523,refute_7_522]) ).
cnf(refute_7_525,plain,
( h1(e13) = e22
| h1(e13) = e23
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_7_521,refute_7_524]) ).
cnf(refute_7_526,plain,
( e22 != e22
| op2(e21,e20) != e22
| op2(e21,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e22) ),[1],$fot(e22)]]) ).
cnf(refute_7_527,plain,
( e22 != e22
| h1(e13) = e22
| h1(e13) = e23
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_7_525,refute_7_526]) ).
cnf(refute_7_528,plain,
( e22 != e22
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_7_527,refute_7_497]) ).
cnf(refute_7_529,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_7_530,plain,
( h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_7_529,refute_7_528]) ).
cnf(refute_7_531,plain,
( e20 != op2(h1(e13),h1(e13))
| h1(e13) != e23
| e20 = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(h1(e13),h1(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_532,plain,
( e20 != op2(h1(e13),h1(e13))
| e20 = op2(h1(e13),e23)
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_7_530,refute_7_531]) ).
cnf(refute_7_533,plain,
( e20 = op2(h1(e13),e23)
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(e20,op2(h1(e13),h1(e13))) )],[refute_7_401,refute_7_532]) ).
cnf(refute_7_534,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_7_109]) ).
cnf(refute_7_535,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_7_110]) ).
cnf(refute_7_536,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e12)))]]) ).
cnf(refute_7_537,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_538,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_7_536,refute_7_537]) ).
cnf(refute_7_539,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_7_535,refute_7_538]) ).
cnf(refute_7_540,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_7_541,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_7_542,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_7_540,refute_7_541]) ).
cnf(refute_7_543,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_7_154,refute_7_542]) ).
cnf(refute_7_544,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(subst,[],[refute_7_20:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),h4(e12)))),bind(Z,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_7_545,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_7_543,refute_7_544]) ).
cnf(refute_7_546,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),e23)) )],[refute_7_539,refute_7_545]) ).
cnf(refute_7_547,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h1(e13),e23)
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_7_548,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),e23)) )],[refute_7_546,refute_7_547]) ).
cnf(refute_7_549,plain,
h4(op1(e10,e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_7_534,refute_7_548]) ).
cnf(refute_7_550,plain,
h4(op1(e10,e12)) = h4(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_7_551,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| op1(e10,e12) != e10
| h4(op1(e10,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_7_552,plain,
( op1(e10,e12) != e10
| h4(op1(e10,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_7_550,refute_7_551]) ).
cnf(refute_7_553,plain,
h4(op1(e10,e12)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_7_321,refute_7_552]) ).
cnf(refute_7_554,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) != h4(e10)
| h4(op1(e10,e12)) = h1(e13) ),
inference(subst,[],[refute_7_20:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_7_555,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e10)) )],[refute_7_553,refute_7_554]) ).
cnf(refute_7_556,plain,
h4(op1(e10,e12)) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_7_154,refute_7_555]) ).
cnf(refute_7_557,plain,
( h4(op1(e10,e12)) != h1(e13)
| h4(op1(e10,e12)) != op2(h1(e13),e23)
| h1(e13) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(h1(e13))]]) ).
cnf(refute_7_558,plain,
( h4(op1(e10,e12)) != op2(h1(e13),e23)
| h1(e13) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h1(e13)) )],[refute_7_556,refute_7_557]) ).
cnf(refute_7_559,plain,
h1(e13) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) )],[refute_7_549,refute_7_558]) ).
cnf(refute_7_560,plain,
( h1(e13) != op2(h1(e13),e23)
| op2(h1(e13),e23) = h1(e13) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_7_561,plain,
op2(h1(e13),e23) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) )],[refute_7_559,refute_7_560]) ).
cnf(refute_7_562,plain,
( e20 != op2(h1(e13),e23)
| op2(h1(e13),e23) != h1(e13)
| e20 = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h1(e13)) ),[0],$fot(op2(h1(e13),e23))]]) ).
cnf(refute_7_563,plain,
( e20 != op2(h1(e13),e23)
| e20 = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),h1(e13)) )],[refute_7_561,refute_7_562]) ).
cnf(refute_7_564,plain,
( e20 = h1(e13)
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(e20,op2(h1(e13),e23)) )],[refute_7_533,refute_7_563]) ).
cnf(refute_7_565,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_7_111]) ).
cnf(refute_7_566,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_7_567,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_116,refute_7_566]) ).
cnf(refute_7_568,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_7_567,refute_7_565]) ).
cnf(refute_7_569,plain,
( h1(e13) != e20
| op2(e20,e22) != e20
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_7_570,plain,
( h1(e13) != e20
| h1(e13) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_7_474,refute_7_569]) ).
cnf(refute_7_571,plain,
h1(e13) != e20,
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_7_570,refute_7_568]) ).
cnf(refute_7_572,plain,
( e20 != h1(e13)
| h1(e13) = e20 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e20)),bind(Y,$fot(h1(e13)))]]) ).
cnf(refute_7_573,plain,
e20 != h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_7_572,refute_7_571]) ).
cnf(refute_7_574,plain,
h1(e13) = e22,
inference(resolve,[$cnf( $equal(e20,h1(e13)) )],[refute_7_564,refute_7_573]) ).
cnf(refute_7_575,plain,
op2(e22,h1(e13)) = op2(e22,h1(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h1(e13)))]]) ).
cnf(refute_7_576,plain,
( h1(e13) != e22
| op2(e22,h1(e13)) != op2(e22,h1(e13))
| op2(e22,h1(e13)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h1(e13)),op2(e22,h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_7_577,plain,
( h1(e13) != e22
| op2(e22,h1(e13)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h1(e13)),op2(e22,h1(e13))) )],[refute_7_575,refute_7_576]) ).
cnf(refute_7_578,plain,
op2(e22,h1(e13)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_7_574,refute_7_577]) ).
cnf(refute_7_579,plain,
op2(h1(e13),h1(e13)) = op2(h1(e13),h1(e13)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h1(e13)))]]) ).
cnf(refute_7_580,plain,
( h1(e13) != e22
| op2(h1(e13),h1(e13)) != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) = op2(e22,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(h1(e13),h1(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_7_581,plain,
( h1(e13) != e22
| op2(h1(e13),h1(e13)) = op2(e22,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(h1(e13),h1(e13))) )],[refute_7_579,refute_7_580]) ).
cnf(refute_7_582,plain,
op2(h1(e13),h1(e13)) = op2(e22,h1(e13)),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_7_574,refute_7_581]) ).
cnf(refute_7_583,plain,
( op2(e22,h1(e13)) != op2(e22,e22)
| op2(h1(e13),h1(e13)) != op2(e22,h1(e13))
| op2(h1(e13),h1(e13)) = op2(e22,e22) ),
inference(subst,[],[refute_7_20:[bind(X,$fot(op2(h1(e13),h1(e13)))),bind(Y,$fot(op2(e22,h1(e13)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_7_584,plain,
( op2(e22,h1(e13)) != op2(e22,e22)
| op2(h1(e13),h1(e13)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(e22,h1(e13))) )],[refute_7_582,refute_7_583]) ).
cnf(refute_7_585,plain,
op2(h1(e13),h1(e13)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,h1(e13)),op2(e22,e22)) )],[refute_7_578,refute_7_584]) ).
cnf(refute_7_586,plain,
( op2(e22,e22) != e23
| op2(h1(e13),h1(e13)) != op2(e22,e22)
| op2(h1(e13),h1(e13)) = e23 ),
inference(subst,[],[refute_7_20:[bind(X,$fot(op2(h1(e13),h1(e13)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(e23))]]) ).
cnf(refute_7_587,plain,
( op2(e22,e22) != e23
| op2(h1(e13),h1(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(e22,e22)) )],[refute_7_585,refute_7_586]) ).
cnf(refute_7_588,plain,
op2(h1(e13),h1(e13)) = e23,
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_7,refute_7_587]) ).
cnf(refute_7_589,plain,
( e20 != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e23) ),[0],$fot(op2(h1(e13),h1(e13)))]]) ).
cnf(refute_7_590,plain,
( e20 != op2(h1(e13),h1(e13))
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),e23) )],[refute_7_588,refute_7_589]) ).
cnf(refute_7_591,plain,
e20 = e23,
inference(resolve,[$cnf( $equal(e20,op2(h1(e13),h1(e13))) )],[refute_7_401,refute_7_590]) ).
cnf(refute_7_592,plain,
( e20 != e23
| e23 = e20 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e20)),bind(Y,$fot(e23))]]) ).
cnf(refute_7_593,plain,
e23 = e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_7_591,refute_7_592]) ).
cnf(refute_7_594,plain,
op2(e22,e23) = op2(e22,e23),
introduced(tautology,[refl,[$fot(op2(e22,e23))]]) ).
cnf(refute_7_595,plain,
( e23 != e20
| op2(e22,e23) != op2(e22,e23)
| op2(e22,e23) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),op2(e22,e23)) ),[1,1],$fot(e20)]]) ).
cnf(refute_7_596,plain,
( e23 != e20
| op2(e22,e23) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e22,e23)) )],[refute_7_594,refute_7_595]) ).
cnf(refute_7_597,plain,
op2(e22,e23) = op2(e22,e20),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_7_593,refute_7_596]) ).
cnf(refute_7_598,plain,
( op2(e22,e23) != e22
| op2(e22,e23) != op2(e22,e20)
| op2(e22,e20) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e22) ),[0],$fot(op2(e22,e20))]]) ).
cnf(refute_7_599,plain,
( op2(e22,e23) != e22
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e22,e20)) )],[refute_7_597,refute_7_598]) ).
cnf(refute_7_600,plain,
op2(e22,e20) = e22,
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_7_112,refute_7_599]) ).
cnf(refute_7_601,plain,
op2(e21,e23) = op2(e21,e23),
introduced(tautology,[refl,[$fot(op2(e21,e23))]]) ).
cnf(refute_7_602,plain,
( e23 != e20
| op2(e21,e23) != op2(e21,e23)
| op2(e21,e23) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),op2(e21,e23)) ),[1,1],$fot(e20)]]) ).
cnf(refute_7_603,plain,
( e23 != e20
| op2(e21,e23) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e21,e23)) )],[refute_7_601,refute_7_602]) ).
cnf(refute_7_604,plain,
op2(e21,e23) = op2(e21,e20),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_7_593,refute_7_603]) ).
cnf(refute_7_605,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != op2(e21,e20)
| op2(e21,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(op2(e21,e20))]]) ).
cnf(refute_7_606,plain,
( op2(e21,e23) != e23
| op2(e21,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e21,e20)) )],[refute_7_604,refute_7_605]) ).
cnf(refute_7_607,plain,
( e23 != e20
| op2(e21,e20) != e23
| op2(e21,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[1],$fot(e20)]]) ).
cnf(refute_7_608,plain,
( op2(e21,e20) != e23
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_7_593,refute_7_607]) ).
cnf(refute_7_609,plain,
( op2(e21,e23) != e23
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_7_606,refute_7_608]) ).
cnf(refute_7_610,plain,
op2(e21,e20) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_7_92,refute_7_609]) ).
cnf(refute_7_611,plain,
( h3(e11) != e21
| h3(e11) != op2(e20,e23)
| e21 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),op2(e20,e23)) ),[0],$fot(e21)]]) ).
cnf(refute_7_612,plain,
( h3(e11) != op2(e20,e23)
| e21 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_7_43,refute_7_611]) ).
cnf(refute_7_613,plain,
e21 = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_7_26,refute_7_612]) ).
cnf(refute_7_614,plain,
( h1(e13) != e22
| h1(e13) != op2(e20,e20)
| e22 = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(e20,e20)) ),[0],$fot(e22)]]) ).
cnf(refute_7_615,plain,
( h1(e13) != op2(e20,e20)
| e22 = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_7_574,refute_7_614]) ).
cnf(refute_7_616,plain,
e22 = op2(e20,e20),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_7_114,refute_7_615]) ).
cnf(refute_7_617,plain,
( e22 != op2(e20,e20)
| op2(e20,e20) = e22 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_7_618,plain,
op2(e20,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e20)) )],[refute_7_616,refute_7_617]) ).
cnf(refute_7_619,plain,
op2(e20,e23) = op2(e20,e23),
introduced(tautology,[refl,[$fot(op2(e20,e23))]]) ).
cnf(refute_7_620,plain,
( e23 != e20
| op2(e20,e23) != op2(e20,e23)
| op2(e20,e23) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),op2(e20,e23)) ),[1,1],$fot(e20)]]) ).
cnf(refute_7_621,plain,
( e23 != e20
| op2(e20,e23) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e20,e23)) )],[refute_7_619,refute_7_620]) ).
cnf(refute_7_622,plain,
op2(e20,e23) = op2(e20,e20),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_7_593,refute_7_621]) ).
cnf(refute_7_623,plain,
( op2(e20,e20) != e22
| op2(e20,e23) != op2(e20,e20)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_7_20:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e22))]]) ).
cnf(refute_7_624,plain,
( op2(e20,e20) != e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e20,e20)) )],[refute_7_622,refute_7_623]) ).
cnf(refute_7_625,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_7_618,refute_7_624]) ).
cnf(refute_7_626,plain,
( e21 != op2(e20,e23)
| op2(e20,e23) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e22) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_7_627,plain,
( e21 != op2(e20,e23)
| e21 = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_7_625,refute_7_626]) ).
cnf(refute_7_628,plain,
e21 = e22,
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_7_613,refute_7_627]) ).
cnf(refute_7_629,plain,
( e21 != e22
| e22 = e21 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e21)),bind(Y,$fot(e22))]]) ).
cnf(refute_7_630,plain,
e22 = e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_7_628,refute_7_629]) ).
cnf(refute_7_631,plain,
op2(e22,e20) = op2(e22,e20),
introduced(tautology,[refl,[$fot(op2(e22,e20))]]) ).
cnf(refute_7_632,plain,
( e22 != e21
| op2(e22,e20) != op2(e22,e20)
| op2(e22,e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),op2(e22,e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_633,plain,
( e22 != e21
| op2(e22,e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e20)) )],[refute_7_631,refute_7_632]) ).
cnf(refute_7_634,plain,
op2(e22,e20) = op2(e21,e20),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_7_630,refute_7_633]) ).
cnf(refute_7_635,plain,
( op2(e21,e20) != e20
| op2(e22,e20) != op2(e21,e20)
| op2(e22,e20) = e20 ),
inference(subst,[],[refute_7_20:[bind(X,$fot(op2(e22,e20))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(e20))]]) ).
cnf(refute_7_636,plain,
( op2(e21,e20) != e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e21,e20)) )],[refute_7_634,refute_7_635]) ).
cnf(refute_7_637,plain,
op2(e22,e20) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_7_610,refute_7_636]) ).
cnf(refute_7_638,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e20)]]) ).
cnf(refute_7_639,plain,
( op2(e22,e20) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_7_637,refute_7_638]) ).
cnf(refute_7_640,plain,
( e20 != e22
| e22 != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e21) ),[0],$fot(e22)]]) ).
cnf(refute_7_641,plain,
( e20 != e22
| e20 = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_7_630,refute_7_640]) ).
cnf(refute_7_642,plain,
( op2(e22,e20) != e22
| e20 = e21 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_7_639,refute_7_641]) ).
cnf(refute_7_643,plain,
e20 = e21,
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_7_600,refute_7_642]) ).
cnf(refute_7_644,plain,
( e20 != e21
| e21 = e20 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e20)),bind(Y,$fot(e21))]]) ).
cnf(refute_7_645,plain,
e20 != e21,
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_7_644,refute_7_108]) ).
cnf(refute_7_646,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_7_643,refute_7_645]) ).
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,
( ( 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_1,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_2,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_8_3,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_4,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_8_5,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_6,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_7,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_8_8,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_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_8_10,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_11,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_12,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_8_13,plain,
e20 != e23,
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_14,plain,
e21 != e23,
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_15,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_16,plain,
( ( ( op2(e20,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) )
& ( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) )
& ( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_8_17,plain,
( ( op2(e20,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) ),
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_18,plain,
( ( op2(e20,e21) != e20
| op2(e20,e22) != e20
| op2(e20,e23) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e22) != e20
| op2(e23,e20) = e23 )
& ( op2(e20,e21) != e20
| op2(e20,e23) != e20
| op2(e22,e20) = e22 )
& ( op2(e20,e21) != e20
| op2(e22,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e20,e22) != e20
| op2(e20,e23) != e20
| op2(e21,e20) = e21 )
& ( op2(e20,e22) != e20
| op2(e21,e20) = e21
| op2(e23,e20) = e23 )
& ( op2(e20,e23) != e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22 )
& ( op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 ) ),
inference(clausify,[],[normalize_8_17]) ).
fof(normalize_8_19,plain,
( op2(e20,e22) != e20
| op2(e21,e20) = e21
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_8_18]) ).
fof(normalize_8_20,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_21,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_8_20]) ).
fof(normalize_8_22,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_23,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_24,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_25,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_26,plain,
( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_27,plain,
( ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e22,e23) != e22 )
& ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e23,e22) = e23 )
& ( op2(e22,e20) != e22
| op2(e22,e23) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e20) != e22
| op2(e21,e22) = e21
| op2(e23,e22) = e23 )
& ( op2(e22,e21) != e22
| op2(e22,e23) != e22
| op2(e20,e22) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e22) = e20
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e22
| op2(e20,e22) = e20
| op2(e21,e22) = e21 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ) ),
inference(clausify,[],[normalize_8_26]) ).
fof(normalize_8_28,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_8_27]) ).
fof(normalize_8_29,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_30,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_8_20]) ).
fof(normalize_8_31,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_32,plain,
e20 != e22,
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_33,plain,
( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) ),
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_34,plain,
( ( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e23) != e21 )
& ( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e23,e21) = e23 )
& ( op2(e21,e20) != e21
| op2(e21,e23) != e21
| op2(e22,e21) = e22 )
& ( op2(e21,e20) != e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e21,e22) != e21
| op2(e21,e23) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e21) = e20
| op2(e23,e21) = e23 )
& ( op2(e21,e23) != e21
| op2(e20,e21) = e20
| op2(e22,e21) = e22 )
& ( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ) ),
inference(clausify,[],[normalize_8_33]) ).
fof(normalize_8_35,plain,
( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_8_34]) ).
fof(normalize_8_36,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_37,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_38,plain,
op2(e22,e20) != op2(e22,e23),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_39,plain,
( op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_8_18]) ).
fof(normalize_8_40,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_41,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_8_42,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_8_41]) ).
fof(normalize_8_43,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_44,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_45,plain,
( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ),
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_46,plain,
( ( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e23,e22) != e23 )
& ( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e20) != e23
| op2(e23,e22) != e23
| op2(e21,e23) = e21 )
& ( op2(e23,e20) != e23
| op2(e21,e23) = e21
| op2(e22,e23) = e22 )
& ( op2(e23,e21) != e23
| op2(e23,e22) != e23
| op2(e20,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e23) = e20
| op2(e22,e23) = e22 )
& ( op2(e23,e22) != e23
| op2(e20,e23) = e20
| op2(e21,e23) = e21 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ) ),
inference(clausify,[],[normalize_8_45]) ).
fof(normalize_8_47,plain,
( op2(e23,e21) != e23
| op2(e20,e23) = e20
| op2(e22,e23) = e22 ),
inference(conjunct,[],[normalize_8_46]) ).
fof(normalize_8_48,plain,
e20 != e21,
inference(conjunct,[],[normalize_8_12]) ).
fof(normalize_8_49,plain,
op2(e22,e21) != op2(e22,e23),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_50,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(conjunct,[],[normalize_8_46]) ).
fof(normalize_8_51,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_52,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_8_53,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_8_52]) ).
fof(normalize_8_54,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_8_41]) ).
fof(normalize_8_55,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_8_2]) ).
fof(normalize_8_56,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_51,normalize_8_53,normalize_8_54,normalize_8_55]) ).
fof(normalize_8_57,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_8_56]) ).
fof(normalize_8_58,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_59,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_60,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_8_52]) ).
fof(normalize_8_61,plain,
( ( ( op1(e10,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) )
& ( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) )
& ( ( op1(e13,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e12,e13) = e12 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_8_62,plain,
( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_8_61]) ).
fof(normalize_8_63,plain,
( ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e12,e13) != e12 )
& ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e13,e12) = e13 )
& ( op1(e12,e10) != e12
| op1(e12,e13) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e10) != e12
| op1(e11,e12) = e11
| op1(e13,e12) = e13 )
& ( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e10,e12) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e12) = e10
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e12
| op1(e10,e12) = e10
| op1(e11,e12) = e11 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ) ),
inference(clausify,[],[normalize_8_62]) ).
fof(normalize_8_64,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_8_63]) ).
fof(normalize_8_65,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_66,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_8_65]) ).
fof(normalize_8_67,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_8_68,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_8_67]) ).
fof(normalize_8_69,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_70,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(conjunct,[],[normalize_8_69]) ).
fof(normalize_8_71,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_8_72,plain,
e10 != e13,
inference(conjunct,[],[normalize_8_71]) ).
fof(normalize_8_73,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_8_65]) ).
fof(normalize_8_74,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_8_67]) ).
fof(normalize_8_75,plain,
e10 != e11,
inference(conjunct,[],[normalize_8_71]) ).
fof(normalize_8_76,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_77,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_8_0]) ).
cnf(refute_8_0,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_8_1]) ).
cnf(refute_8_1,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_8_3]) ).
cnf(refute_8_2,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_8_5]) ).
cnf(refute_8_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_8_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_8_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_8_3,refute_8_4]) ).
cnf(refute_8_6,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_8_7,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_8_2,refute_8_6]) ).
cnf(refute_8_8,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_8_9,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_8_10,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_8_8,refute_8_9]) ).
cnf(refute_8_11,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_7,refute_8_10]) ).
cnf(refute_8_12,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_8_6]) ).
cnf(refute_8_13,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = e20 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_8_14,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_8_12,refute_8_13]) ).
cnf(refute_8_15,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_8_16,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) ),[1,0],$fot(e20)]]) ).
cnf(refute_8_17,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_8_15,refute_8_16]) ).
cnf(refute_8_18,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e20) )],[refute_8_14,refute_8_17]) ).
cnf(refute_8_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_8_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_8_5,refute_8_19]) ).
cnf(refute_8_21,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(subst,[],[refute_8_20:[bind(X,$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))),bind(Y,$fot(op2(e20,op2(e22,e22)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_8_22,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_8_18,refute_8_21]) ).
cnf(refute_8_23,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_8_11,refute_8_22]) ).
cnf(refute_8_24,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,e23)
| h3(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e20,e23)) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_8_25,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| h3(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,e23)) )],[refute_8_23,refute_8_24]) ).
cnf(refute_8_26,plain,
h3(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_8_1,refute_8_25]) ).
cnf(refute_8_27,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_8_28,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_8_26,refute_8_27]) ).
cnf(refute_8_29,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_8_30,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_8_28,refute_8_29]) ).
cnf(refute_8_31,plain,
( h3(e11) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_8_0,refute_8_30]) ).
cnf(refute_8_32,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_8_8]) ).
cnf(refute_8_33,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_8_34,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_8_32,refute_8_33]) ).
cnf(refute_8_35,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_8_36,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_34,refute_8_35]) ).
cnf(refute_8_37,plain,
( h3(e11) = e23
| h4(e13) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_8_31,refute_8_36]) ).
cnf(refute_8_38,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_8_10]) ).
cnf(refute_8_39,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_8_40,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_7,refute_8_39]) ).
cnf(refute_8_41,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_8_40,refute_8_38]) ).
cnf(refute_8_42,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_8_43,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_8_42,refute_8_41]) ).
cnf(refute_8_44,plain,
( h3(e11) = e23
| h4(e13) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_8_37,refute_8_43]) ).
cnf(refute_8_45,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_8_11]) ).
cnf(refute_8_46,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,op2(e22,e22))) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_8_47,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_8_18,refute_8_46]) ).
cnf(refute_8_48,plain,
e21 = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(e21,op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_8_45,refute_8_47]) ).
cnf(refute_8_49,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(subst,[],[refute_8_20:[bind(X,$fot(op2(e20,op2(e22,e22)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_8_50,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_8_11,refute_8_49]) ).
cnf(refute_8_51,plain,
op2(e20,op2(e22,e22)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_8_28,refute_8_50]) ).
cnf(refute_8_52,plain,
( e21 != op2(e20,op2(e22,e22))
| op2(e20,op2(e22,e22)) != h3(e11)
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[0],$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_8_53,plain,
( e21 != op2(e20,op2(e22,e22))
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),h3(e11)) )],[refute_8_51,refute_8_52]) ).
cnf(refute_8_54,plain,
e21 = h3(e11),
inference(resolve,[$cnf( $equal(e21,op2(e20,op2(e22,e22))) )],[refute_8_48,refute_8_53]) ).
cnf(refute_8_55,plain,
( e21 != h3(e11)
| h3(e11) = e21 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e21)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_8_56,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_8_54,refute_8_55]) ).
cnf(refute_8_57,plain,
( h3(e11) != e21
| h3(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_8_58,plain,
( h3(e11) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_8_56,refute_8_57]) ).
cnf(refute_8_59,plain,
( e21 = e23
| h4(e13) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_8_44,refute_8_58]) ).
cnf(refute_8_60,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_8_61,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_8_62,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_8_60,refute_8_61]) ).
cnf(refute_8_63,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_7,refute_8_62]) ).
cnf(refute_8_64,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_8_65,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_8_66,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_8_64,refute_8_65]) ).
cnf(refute_8_67,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_7,refute_8_66]) ).
cnf(refute_8_68,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_8_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_8_69,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_8_67,refute_8_68]) ).
cnf(refute_8_70,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_8_63,refute_8_69]) ).
cnf(refute_8_71,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_8_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_8_72,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_8_70,refute_8_71]) ).
cnf(refute_8_73,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_34,refute_8_72]) ).
cnf(refute_8_74,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_8_75,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_8_73,refute_8_74]) ).
cnf(refute_8_76,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_8_12,refute_8_75]) ).
cnf(refute_8_77,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_8_78,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_8_76,refute_8_77]) ).
cnf(refute_8_79,plain,
( h4(e13) != e20
| h4(e13) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e20)]]) ).
cnf(refute_8_80,plain,
( h4(e13) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_8_78,refute_8_79]) ).
cnf(refute_8_81,plain,
( e20 = e23
| e21 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_8_59,refute_8_80]) ).
cnf(refute_8_82,plain,
e20 != e23,
inference(canonicalize,[],[normalize_8_13]) ).
cnf(refute_8_83,plain,
( e21 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_8_81,refute_8_82]) ).
cnf(refute_8_84,plain,
e21 != e23,
inference(canonicalize,[],[normalize_8_14]) ).
cnf(refute_8_85,plain,
op2(e21,e23) = e23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_8_83,refute_8_84]) ).
cnf(refute_8_86,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_8_15]) ).
cnf(refute_8_87,plain,
( op2(e20,e22) != e20
| op2(e21,e20) = e21
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_8_19]) ).
cnf(refute_8_88,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_8_21]) ).
cnf(refute_8_89,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_8_22]) ).
cnf(refute_8_90,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_8_91,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_7,refute_8_90]) ).
cnf(refute_8_92,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_8_91,refute_8_89]) ).
cnf(refute_8_93,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_8_88,refute_8_92]) ).
cnf(refute_8_94,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_8_23]) ).
cnf(refute_8_95,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e23) != h3(e11)
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_8_96,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_8_28,refute_8_95]) ).
cnf(refute_8_97,plain,
op2(e20,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_8_96,refute_8_94]) ).
cnf(refute_8_98,plain,
( h3(e11) != e21
| op2(e20,e22) != e21
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_8_99,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_8_56,refute_8_98]) ).
cnf(refute_8_100,plain,
op2(e20,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_8_99,refute_8_97]) ).
cnf(refute_8_101,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_8_93,refute_8_100]) ).
cnf(refute_8_102,plain,
( e20 != e20
| op2(e20,e22) != e20
| op2(e20,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0,0],$fot(e20)]]) ).
cnf(refute_8_103,plain,
( e20 != e20
| op2(e20,e22) = e20
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_8_101,refute_8_102]) ).
cnf(refute_8_104,plain,
( e20 != e20
| op2(e20,e22) = e22
| op2(e21,e20) = e21
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_8_103,refute_8_87]) ).
cnf(refute_8_105,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_8_106,plain,
( op2(e20,e22) = e22
| op2(e21,e20) = e21
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_8_105,refute_8_104]) ).
cnf(refute_8_107,plain,
( e23 != op2(e23,e21)
| op2(e23,e20) != e23
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_8_108,plain,
( e23 != op2(e23,e21)
| op2(e20,e22) = e22
| op2(e21,e20) = e21
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_8_106,refute_8_107]) ).
cnf(refute_8_109,plain,
( e23 != op2(e23,e21)
| op2(e20,e22) = e22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_8_108,refute_8_86]) ).
cnf(refute_8_110,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_8_24]) ).
cnf(refute_8_111,plain,
( e22 != op2(e23,e22)
| op2(e20,e22) != e22
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_8_112,plain,
( e22 != op2(e23,e22)
| op2(e20,e22) = e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_8_101,refute_8_111]) ).
cnf(refute_8_113,plain,
( e22 != op2(e23,e22)
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_8_112,refute_8_110]) ).
cnf(refute_8_114,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_8_25]) ).
cnf(refute_8_115,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_8_28]) ).
cnf(refute_8_116,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_8_29]) ).
cnf(refute_8_117,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_8_118,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_7,refute_8_117]) ).
cnf(refute_8_119,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_8_118,refute_8_116]) ).
cnf(refute_8_120,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_8_121,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_8_120,refute_8_119]) ).
cnf(refute_8_122,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_8_115,refute_8_121]) ).
cnf(refute_8_123,plain,
( e21 != op2(e23,e22)
| op2(e21,e22) != e21
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_8_124,plain,
( e21 != op2(e23,e22)
| op2(e20,e22) = e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_8_122,refute_8_123]) ).
cnf(refute_8_125,plain,
( e21 != op2(e23,e22)
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_8_124,refute_8_114]) ).
cnf(refute_8_126,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_8_30]) ).
cnf(refute_8_127,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_8_126,refute_8_121]) ).
cnf(refute_8_128,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_8_31]) ).
cnf(refute_8_129,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_8_130,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_34,refute_8_129]) ).
cnf(refute_8_131,plain,
op2(e23,e22) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_8_130,refute_8_128]) ).
cnf(refute_8_132,plain,
( h4(e13) != e20
| op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_8_133,plain,
( op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_8_78,refute_8_132]) ).
cnf(refute_8_134,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),h4(e13)) )],[refute_8_133,refute_8_131]) ).
cnf(refute_8_135,plain,
( op2(e23,e22) = e21
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_8_127,refute_8_134]) ).
cnf(refute_8_136,plain,
( e21 != e21
| op2(e23,e22) != e21
| e21 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e23,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_8_137,plain,
( e21 != e21
| e21 = op2(e23,e22)
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_8_135,refute_8_136]) ).
cnf(refute_8_138,plain,
( e21 != e21
| op2(e20,e22) = e20
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e22)) )],[refute_8_137,refute_8_125]) ).
cnf(refute_8_139,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_8_140,plain,
( op2(e20,e22) = e20
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_8_139,refute_8_138]) ).
cnf(refute_8_141,plain,
( e22 != e22
| op2(e23,e22) != e22
| e22 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_8_142,plain,
( e22 != e22
| e22 = op2(e23,e22)
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_8_140,refute_8_141]) ).
cnf(refute_8_143,plain,
( e22 != e22
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e22)) )],[refute_8_142,refute_8_113]) ).
cnf(refute_8_144,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_8_145,plain,
op2(e20,e22) = e20,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_8_144,refute_8_143]) ).
cnf(refute_8_146,plain,
( op2(e20,e22) != e20
| op2(e20,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_8_147,plain,
( op2(e20,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_8_145,refute_8_146]) ).
cnf(refute_8_148,plain,
( e23 != op2(e23,e21)
| e20 = e22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_8_109,refute_8_147]) ).
cnf(refute_8_149,plain,
e20 != e22,
inference(canonicalize,[],[normalize_8_32]) ).
cnf(refute_8_150,plain,
( e23 != op2(e23,e21)
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_8_148,refute_8_149]) ).
cnf(refute_8_151,plain,
( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_8_35]) ).
cnf(refute_8_152,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_8_36]) ).
cnf(refute_8_153,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_8_37]) ).
cnf(refute_8_154,plain,
( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_8_155,plain,
( op2(e21,e20) != e21
| op2(e20,e22) = e20
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_8_122,refute_8_154]) ).
cnf(refute_8_156,plain,
( op2(e21,e20) != e21
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_8_155,refute_8_153]) ).
cnf(refute_8_157,plain,
op2(e22,e20) != op2(e22,e23),
inference(canonicalize,[],[normalize_8_38]) ).
cnf(refute_8_158,plain,
( op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_8_39]) ).
cnf(refute_8_159,plain,
( e23 != op2(e23,e21)
| op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_8_158,refute_8_107]) ).
cnf(refute_8_160,plain,
( e23 != op2(e23,e21)
| op2(e21,e20) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_8_159,refute_8_86]) ).
cnf(refute_8_161,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_8_40]) ).
cnf(refute_8_162,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_8_42]) ).
cnf(refute_8_163,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_8_164,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_8_162,refute_8_163]) ).
cnf(refute_8_165,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_8_166,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_164,refute_8_165]) ).
cnf(refute_8_167,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_8_161,refute_8_166]) ).
cnf(refute_8_168,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_8_43]) ).
cnf(refute_8_169,plain,
( op2(e22,e21) != e23
| op2(e22,e22) != e23
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_8_170,plain,
( op2(e22,e21) != e23
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_7,refute_8_169]) ).
cnf(refute_8_171,plain,
op2(e22,e21) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_8_170,refute_8_168]) ).
cnf(refute_8_172,plain,
( h2(e13) = e23
| op2(e20,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_8_167,refute_8_171]) ).
cnf(refute_8_173,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_8_44]) ).
cnf(refute_8_174,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_8_175,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_164,refute_8_174]) ).
cnf(refute_8_176,plain,
h2(e13) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_8_175,refute_8_173]) ).
cnf(refute_8_177,plain,
( h2(e13) != e23
| op2(e21,e23) != e23
| h2(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_8_178,plain,
( h2(e13) != e23
| h2(e13) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_8_85,refute_8_177]) ).
cnf(refute_8_179,plain,
h2(e13) != e23,
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e23)) )],[refute_8_178,refute_8_176]) ).
cnf(refute_8_180,plain,
( op2(e20,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_8_172,refute_8_179]) ).
cnf(refute_8_181,plain,
( e23 != e23
| op2(e23,e21) != e23
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_8_182,plain,
( e23 != e23
| e23 = op2(e23,e21)
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_8_180,refute_8_181]) ).
cnf(refute_8_183,plain,
( e23 != e23
| op2(e20,e21) = e23
| op2(e21,e20) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_8_182,refute_8_160]) ).
cnf(refute_8_184,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_8_185,plain,
( op2(e20,e21) = e23
| op2(e21,e20) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_184,refute_8_183]) ).
cnf(refute_8_186,plain,
( e22 != op2(e22,e23)
| op2(e22,e20) != e22
| op2(e22,e20) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_8_187,plain,
( e22 != op2(e22,e23)
| op2(e20,e21) = e23
| op2(e21,e20) = e21
| op2(e22,e20) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_8_185,refute_8_186]) ).
cnf(refute_8_188,plain,
( e22 != op2(e22,e23)
| op2(e20,e21) = e23
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e23)) )],[refute_8_187,refute_8_157]) ).
cnf(refute_8_189,plain,
( op2(e23,e21) != e23
| op2(e20,e23) = e20
| op2(e22,e23) = e22 ),
inference(canonicalize,[],[normalize_8_47]) ).
cnf(refute_8_190,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_8_191,plain,
( op2(e20,e23) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_8_28,refute_8_190]) ).
cnf(refute_8_192,plain,
( op2(e23,e21) != e23
| h3(e11) = e20
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_8_189,refute_8_191]) ).
cnf(refute_8_193,plain,
( h3(e11) != e20
| h3(e11) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e20) ),[0],$fot(e21)]]) ).
cnf(refute_8_194,plain,
( h3(e11) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_8_56,refute_8_193]) ).
cnf(refute_8_195,plain,
( op2(e23,e21) != e23
| e21 = e20
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_8_192,refute_8_194]) ).
cnf(refute_8_196,plain,
e20 != e21,
inference(canonicalize,[],[normalize_8_48]) ).
cnf(refute_8_197,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_8_198,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_8_197,refute_8_196]) ).
cnf(refute_8_199,plain,
( op2(e23,e21) != e23
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_8_195,refute_8_198]) ).
cnf(refute_8_200,plain,
( e23 != e23
| op2(e23,e21) != e23
| op2(e23,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0,0],$fot(e23)]]) ).
cnf(refute_8_201,plain,
( e23 != e23
| op2(e20,e21) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_8_180,refute_8_200]) ).
cnf(refute_8_202,plain,
( e23 != e23
| op2(e20,e21) = e23
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_8_201,refute_8_199]) ).
cnf(refute_8_203,plain,
( op2(e20,e21) = e23
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_184,refute_8_202]) ).
cnf(refute_8_204,plain,
( e22 != e22
| op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_8_205,plain,
( e22 != e22
| e22 = op2(e22,e23)
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_8_203,refute_8_204]) ).
cnf(refute_8_206,plain,
( e22 != e22
| op2(e20,e21) = e23
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_8_205,refute_8_188]) ).
cnf(refute_8_207,plain,
( op2(e20,e21) = e23
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_8_144,refute_8_206]) ).
cnf(refute_8_208,plain,
( e21 != e21
| op2(e21,e20) != e21
| op2(e21,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_8_209,plain,
( e21 != e21
| op2(e20,e21) = e23
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_8_207,refute_8_208]) ).
cnf(refute_8_210,plain,
( e21 != e21
| op2(e20,e21) = e23
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_8_209,refute_8_156]) ).
cnf(refute_8_211,plain,
( op2(e20,e21) = e23
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_8_139,refute_8_210]) ).
cnf(refute_8_212,plain,
( op2(e20,e21) != e20
| op2(e20,e22) != e20
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_8_213,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = e23
| op2(e20,e21) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_8_211,refute_8_212]) ).
cnf(refute_8_214,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_8_213,refute_8_152]) ).
cnf(refute_8_215,plain,
( op2(e20,e21) != e20
| op2(e20,e21) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(e20)]]) ).
cnf(refute_8_216,plain,
( op2(e20,e21) != e20
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_8_214,refute_8_215]) ).
cnf(refute_8_217,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_8_216,refute_8_82]) ).
cnf(refute_8_218,plain,
( op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_8_151,refute_8_217]) ).
cnf(refute_8_219,plain,
op2(e22,e21) != op2(e22,e23),
inference(canonicalize,[],[normalize_8_49]) ).
cnf(refute_8_220,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(canonicalize,[],[normalize_8_50]) ).
cnf(refute_8_221,plain,
( h3(e11) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_8_220,refute_8_191]) ).
cnf(refute_8_222,plain,
( e21 = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_8_221,refute_8_194]) ).
cnf(refute_8_223,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(e23)]]) ).
cnf(refute_8_224,plain,
( op2(e21,e23) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_8_85,refute_8_223]) ).
cnf(refute_8_225,plain,
( e21 = e20
| e23 = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_8_222,refute_8_224]) ).
cnf(refute_8_226,plain,
( e23 = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_8_225,refute_8_198]) ).
cnf(refute_8_227,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_8_228,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_8_227,refute_8_84]) ).
cnf(refute_8_229,plain,
op2(e22,e23) = e22,
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_8_226,refute_8_228]) ).
cnf(refute_8_230,plain,
( op2(e22,e21) != e22
| op2(e22,e23) != e22
| op2(e22,e21) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_8_231,plain,
( op2(e22,e21) != e22
| op2(e22,e21) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_8_229,refute_8_230]) ).
cnf(refute_8_232,plain,
op2(e22,e21) != e22,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e23)) )],[refute_8_231,refute_8_219]) ).
cnf(refute_8_233,plain,
op2(e23,e21) = e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_8_218,refute_8_232]) ).
cnf(refute_8_234,plain,
( e23 != e23
| e23 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_8_233,refute_8_181]) ).
cnf(refute_8_235,plain,
( e23 != e23
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_8_234,refute_8_150]) ).
cnf(refute_8_236,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_184,refute_8_235]) ).
cnf(refute_8_237,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_8_57]) ).
cnf(refute_8_238,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_8_58]) ).
cnf(refute_8_239,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e12)))]]) ).
cnf(refute_8_240,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_8_241,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_8_239,refute_8_240]) ).
cnf(refute_8_242,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_8_238,refute_8_241]) ).
cnf(refute_8_243,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_8_59]) ).
cnf(refute_8_244,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_8_60]) ).
cnf(refute_8_245,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_8_246,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_8_244,refute_8_245]) ).
cnf(refute_8_247,plain,
( h4(e13) != e20
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_8_20:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_8_248,plain,
( h4(e13) != e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_34,refute_8_247]) ).
cnf(refute_8_249,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_8_78,refute_8_248]) ).
cnf(refute_8_250,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_8_251,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_8_252,plain,
( op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_8_250,refute_8_251]) ).
cnf(refute_8_253,plain,
op2(e20,op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_8_249,refute_8_252]) ).
cnf(refute_8_254,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_8_255,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,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(e20)]]) ).
cnf(refute_8_256,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_8_254,refute_8_255]) ).
cnf(refute_8_257,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_8_249,refute_8_256]) ).
cnf(refute_8_258,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(subst,[],[refute_8_20:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_8_259,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_8_257,refute_8_258]) ).
cnf(refute_8_260,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_8_253,refute_8_259]) ).
cnf(refute_8_261,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(subst,[],[refute_8_20:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_8_262,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_8_260,refute_8_261]) ).
cnf(refute_8_263,plain,
op2(op2(e23,e23),op2(e23,e23)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_8_246,refute_8_262]) ).
cnf(refute_8_264,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_8_265,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h1(e13)) )],[refute_8_263,refute_8_264]) ).
cnf(refute_8_266,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_8_243,refute_8_265]) ).
cnf(refute_8_267,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_8_268,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_8_269,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_8_267,refute_8_268]) ).
cnf(refute_8_270,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_8_266,refute_8_269]) ).
cnf(refute_8_271,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(subst,[],[refute_8_20:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),h4(e12)))),bind(Z,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_8_272,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_8_270,refute_8_271]) ).
cnf(refute_8_273,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),e23)) )],[refute_8_242,refute_8_272]) ).
cnf(refute_8_274,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h1(e13),e23)
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_8_275,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),e23)) )],[refute_8_273,refute_8_274]) ).
cnf(refute_8_276,plain,
h4(op1(e10,e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_8_237,refute_8_275]) ).
cnf(refute_8_277,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_8_64]) ).
cnf(refute_8_278,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_8_66]) ).
cnf(refute_8_279,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_8_68]) ).
cnf(refute_8_280,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_8_281,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_8_279,refute_8_280]) ).
cnf(refute_8_282,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_8_283,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_281,refute_8_282]) ).
cnf(refute_8_284,plain,
e13 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_8_283,refute_8_278]) ).
cnf(refute_8_285,plain,
( op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).
cnf(refute_8_286,plain,
op1(e13,e12) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_8_285,refute_8_284]) ).
cnf(refute_8_287,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_8_277,refute_8_286]) ).
cnf(refute_8_288,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(canonicalize,[],[normalize_8_70]) ).
cnf(refute_8_289,plain,
( op1(e12,e12) != e10
| op1(e12,e12) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).
cnf(refute_8_290,plain,
( op1(e12,e12) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_281,refute_8_289]) ).
cnf(refute_8_291,plain,
( e13 = e10
| op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_8_288,refute_8_290]) ).
cnf(refute_8_292,plain,
e10 != e13,
inference(canonicalize,[],[normalize_8_72]) ).
cnf(refute_8_293,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_8_294,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_8_293,refute_8_292]) ).
cnf(refute_8_295,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_8_291,refute_8_294]) ).
cnf(refute_8_296,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_8_73]) ).
cnf(refute_8_297,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_8_74]) ).
cnf(refute_8_298,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_8_299,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_8_300,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_8_298,refute_8_299]) ).
cnf(refute_8_301,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_281,refute_8_300]) ).
cnf(refute_8_302,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_8_303,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_8_304,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_8_302,refute_8_303]) ).
cnf(refute_8_305,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_281,refute_8_304]) ).
cnf(refute_8_306,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_8_20:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_8_307,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_8_305,refute_8_306]) ).
cnf(refute_8_308,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_8_301,refute_8_307]) ).
cnf(refute_8_309,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_8_310,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_8_308,refute_8_309]) ).
cnf(refute_8_311,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_8_297,refute_8_310]) ).
cnf(refute_8_312,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_8_313,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_8_311,refute_8_312]) ).
cnf(refute_8_314,plain,
( op1(e13,e12) != e10
| op1(e13,e13) != e10
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_8_315,plain,
( op1(e13,e12) != e10
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_8_313,refute_8_314]) ).
cnf(refute_8_316,plain,
op1(e13,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_8_315,refute_8_296]) ).
cnf(refute_8_317,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_8_295,refute_8_316]) ).
cnf(refute_8_318,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0],$fot(e10)]]) ).
cnf(refute_8_319,plain,
( op1(e11,e12) != e11
| e10 = e11
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_8_317,refute_8_318]) ).
cnf(refute_8_320,plain,
( e10 = e11
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_8_287,refute_8_319]) ).
cnf(refute_8_321,plain,
e10 != e11,
inference(canonicalize,[],[normalize_8_75]) ).
cnf(refute_8_322,plain,
op1(e10,e12) = e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_8_320,refute_8_321]) ).
cnf(refute_8_323,plain,
h4(op1(e10,e12)) = h4(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_8_324,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| op1(e10,e12) != e10
| h4(op1(e10,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_8_325,plain,
( op1(e10,e12) != e10
| h4(op1(e10,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_8_323,refute_8_324]) ).
cnf(refute_8_326,plain,
h4(op1(e10,e12)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_8_322,refute_8_325]) ).
cnf(refute_8_327,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) != h4(e10)
| h4(op1(e10,e12)) = h1(e13) ),
inference(subst,[],[refute_8_20:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_8_328,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e10)) )],[refute_8_326,refute_8_327]) ).
cnf(refute_8_329,plain,
h4(op1(e10,e12)) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_8_266,refute_8_328]) ).
cnf(refute_8_330,plain,
( h4(op1(e10,e12)) != h1(e13)
| h4(op1(e10,e12)) != op2(h1(e13),e23)
| h1(e13) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(h1(e13))]]) ).
cnf(refute_8_331,plain,
( h4(op1(e10,e12)) != op2(h1(e13),e23)
| h1(e13) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h1(e13)) )],[refute_8_329,refute_8_330]) ).
cnf(refute_8_332,plain,
h1(e13) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) )],[refute_8_276,refute_8_331]) ).
cnf(refute_8_333,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_8_76]) ).
cnf(refute_8_334,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_8_77]) ).
cnf(refute_8_335,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_8_336,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_8_246,refute_8_335]) ).
cnf(refute_8_337,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_8_334,refute_8_336]) ).
cnf(refute_8_338,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_8_337,refute_8_30]) ).
cnf(refute_8_339,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_8_338,refute_8_92]) ).
cnf(refute_8_340,plain,
( e21 = e23
| h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_8_339,refute_8_58]) ).
cnf(refute_8_341,plain,
( h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_8_340,refute_8_84]) ).
cnf(refute_8_342,plain,
( e23 != op2(e23,e21)
| op2(e20,e21) != e23
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_8_343,plain,
( e23 != op2(e23,e21)
| h1(e13) = e23
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_8_341,refute_8_342]) ).
cnf(refute_8_344,plain,
( e23 != op2(e23,e21)
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_8_343,refute_8_333]) ).
cnf(refute_8_345,plain,
( e23 != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_8_234,refute_8_344]) ).
cnf(refute_8_346,plain,
h1(e13) = e23,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_184,refute_8_345]) ).
cnf(refute_8_347,plain,
( h1(e13) != e23
| h1(e13) != op2(h1(e13),e23)
| e23 = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_8_348,plain,
( h1(e13) != op2(h1(e13),e23)
| e23 = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_8_346,refute_8_347]) ).
cnf(refute_8_349,plain,
op2(h1(e13),e23) = op2(h1(e13),e23),
introduced(tautology,[refl,[$fot(op2(h1(e13),e23))]]) ).
cnf(refute_8_350,plain,
( h1(e13) != e23
| op2(h1(e13),e23) != op2(h1(e13),e23)
| op2(h1(e13),e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),op2(h1(e13),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_8_351,plain,
( h1(e13) != e23
| op2(h1(e13),e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(h1(e13),e23)) )],[refute_8_349,refute_8_350]) ).
cnf(refute_8_352,plain,
op2(h1(e13),e23) = op2(e23,e23),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_8_346,refute_8_351]) ).
cnf(refute_8_353,plain,
( op2(e23,e23) != e20
| op2(h1(e13),e23) != op2(e23,e23)
| op2(h1(e13),e23) = e20 ),
inference(subst,[],[refute_8_20:[bind(X,$fot(op2(h1(e13),e23))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e20))]]) ).
cnf(refute_8_354,plain,
( op2(e23,e23) != e20
| op2(h1(e13),e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e23,e23)) )],[refute_8_352,refute_8_353]) ).
cnf(refute_8_355,plain,
op2(h1(e13),e23) = e20,
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_8_249,refute_8_354]) ).
cnf(refute_8_356,plain,
( e23 != op2(h1(e13),e23)
| op2(h1(e13),e23) != e20
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e20) ),[0],$fot(op2(h1(e13),e23))]]) ).
cnf(refute_8_357,plain,
( e23 != op2(h1(e13),e23)
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),e20) )],[refute_8_355,refute_8_356]) ).
cnf(refute_8_358,plain,
( h1(e13) != op2(h1(e13),e23)
| e23 = e20 ),
inference(resolve,[$cnf( $equal(e23,op2(h1(e13),e23)) )],[refute_8_348,refute_8_357]) ).
cnf(refute_8_359,plain,
e23 = e20,
inference(resolve,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) )],[refute_8_332,refute_8_358]) ).
cnf(refute_8_360,plain,
op2(e21,e23) = op2(e21,e23),
introduced(tautology,[refl,[$fot(op2(e21,e23))]]) ).
cnf(refute_8_361,plain,
( e23 != e20
| op2(e21,e23) != op2(e21,e23)
| op2(e21,e23) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),op2(e21,e23)) ),[1,1],$fot(e20)]]) ).
cnf(refute_8_362,plain,
( e23 != e20
| op2(e21,e23) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e21,e23)) )],[refute_8_360,refute_8_361]) ).
cnf(refute_8_363,plain,
op2(e21,e23) = op2(e21,e20),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_8_359,refute_8_362]) ).
cnf(refute_8_364,plain,
( op2(e21,e20) != e21
| op2(e21,e23) != op2(e21,e20)
| op2(e21,e23) = e21 ),
inference(subst,[],[refute_8_20:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(e21))]]) ).
cnf(refute_8_365,plain,
( op2(e21,e20) != e21
| op2(e21,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e21,e20)) )],[refute_8_363,refute_8_364]) ).
cnf(refute_8_366,plain,
op2(e21,e23) = e21,
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_8_236,refute_8_365]) ).
cnf(refute_8_367,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(e21)]]) ).
cnf(refute_8_368,plain,
( op2(e21,e23) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_8_366,refute_8_367]) ).
cnf(refute_8_369,plain,
( e21 != e23
| e23 != e20
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e20) ),[0],$fot(e23)]]) ).
cnf(refute_8_370,plain,
( e21 != e23
| e21 = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_8_359,refute_8_369]) ).
cnf(refute_8_371,plain,
( op2(e21,e23) != e23
| e21 = e20 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_8_368,refute_8_370]) ).
cnf(refute_8_372,plain,
e21 = e20,
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_8_85,refute_8_371]) ).
cnf(refute_8_373,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_8_372,refute_8_198]) ).
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,
( ( ( op1(e10,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) )
& ( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) )
& ( ( op1(e13,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e12,e13) = e12 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_9_1,plain,
( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) ),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_2,plain,
( ( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e11,e13) != e11 )
& ( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e13,e11) = e13 )
& ( op1(e11,e10) != e11
| op1(e11,e13) != e11
| op1(e12,e11) = e12 )
& ( op1(e11,e10) != e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e11,e12) != e11
| op1(e11,e13) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e12) != e11
| op1(e10,e11) = e10
| op1(e13,e11) = e13 )
& ( op1(e11,e13) != e11
| op1(e10,e11) = e10
| op1(e12,e11) = e12 )
& ( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ) ),
inference(clausify,[],[normalize_9_1]) ).
fof(normalize_9_3,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_9_2]) ).
fof(normalize_9_4,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_5,plain,
op2(e21,e21) != op2(e21,e22),
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_6,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_9_7,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_8,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_9,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_9_8]) ).
fof(normalize_9_10,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_11,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_9_12,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_13,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_14,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_9_8]) ).
fof(normalize_9_15,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_16,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_17,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_9_18,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_9_17]) ).
fof(normalize_9_19,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_20,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_21,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_22,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_9_23,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_9_22]) ).
fof(normalize_9_24,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_25,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_9_22]) ).
fof(normalize_9_26,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_27,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_9_17]) ).
fof(normalize_9_28,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_24,normalize_9_25,normalize_9_26,normalize_9_27]) ).
fof(normalize_9_29,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_9_28]) ).
fof(normalize_9_30,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_9_31,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_9_30]) ).
fof(normalize_9_32,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_9_30]) ).
fof(normalize_9_33,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_9_30]) ).
fof(normalize_9_34,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_35,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_9_34]) ).
fof(normalize_9_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_9_37,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_38,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_9_39,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_9_38]) ).
fof(normalize_9_40,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_41,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(conjunct,[],[normalize_9_38]) ).
fof(normalize_9_42,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_9_38]) ).
fof(normalize_9_43,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_44,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_45,plain,
( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_46,plain,
( ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e12,e13) != e12 )
& ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e13,e12) = e13 )
& ( op1(e12,e10) != e12
| op1(e12,e13) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e10) != e12
| op1(e11,e12) = e11
| op1(e13,e12) = e13 )
& ( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e10,e12) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e12) = e10
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e12
| op1(e10,e12) = e10
| op1(e11,e12) = e11 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ) ),
inference(clausify,[],[normalize_9_45]) ).
fof(normalize_9_47,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_9_46]) ).
fof(normalize_9_48,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_9_36]) ).
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_34]) ).
fof(normalize_9_50,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_51,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_9_52,plain,
e10 != e12,
inference(conjunct,[],[normalize_9_51]) ).
fof(normalize_9_53,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_9_8]) ).
fof(normalize_9_54,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_55,plain,
op2(e21,e20) != op2(e21,e21),
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_56,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_57,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_58,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_59,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_9_58]) ).
fof(normalize_9_60,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_61,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_9_62,plain,
e20 != e23,
inference(conjunct,[],[normalize_9_61]) ).
fof(normalize_9_63,plain,
e21 != e23,
inference(conjunct,[],[normalize_9_61]) ).
fof(normalize_9_64,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(conjunct,[],[normalize_9_8]) ).
fof(normalize_9_65,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(conjunct,[],[normalize_9_28]) ).
fof(normalize_9_66,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_67,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_9_66]) ).
fof(normalize_9_68,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_69,plain,
e10 != e13,
inference(conjunct,[],[normalize_9_51]) ).
fof(normalize_9_70,plain,
e11 != e13,
inference(conjunct,[],[normalize_9_51]) ).
fof(normalize_9_71,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(conjunct,[],[normalize_9_8]) ).
fof(normalize_9_72,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_73,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(conjunct,[],[normalize_9_30]) ).
fof(normalize_9_74,plain,
e20 != e22,
inference(conjunct,[],[normalize_9_61]) ).
fof(normalize_9_75,plain,
op2(e20,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_76,plain,
e20 != e21,
inference(conjunct,[],[normalize_9_61]) ).
fof(normalize_9_77,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(conjunct,[],[normalize_9_28]) ).
fof(normalize_9_78,plain,
op1(e12,e10) != op1(e12,e11),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_79,plain,
op1(e11,e11) != op1(e12,e11),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_80,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_81,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(conjunct,[],[normalize_9_66]) ).
fof(normalize_9_82,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(conjunct,[],[normalize_9_34]) ).
fof(normalize_9_83,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_84,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_85,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_9_34]) ).
fof(normalize_9_86,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_87,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_88,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_89,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(conjunct,[],[normalize_9_66]) ).
fof(normalize_9_90,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_91,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_9_28]) ).
fof(normalize_9_92,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_9_34]) ).
fof(normalize_9_93,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_94,plain,
e11 != e12,
inference(conjunct,[],[normalize_9_51]) ).
fof(normalize_9_95,plain,
e21 != e22,
inference(conjunct,[],[normalize_9_61]) ).
fof(normalize_9_96,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_9_66]) ).
fof(normalize_9_97,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_9_66]) ).
fof(normalize_9_98,plain,
e12 != e13,
inference(conjunct,[],[normalize_9_51]) ).
fof(normalize_9_99,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_100,plain,
( ( op1(e10,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) ),
inference(conjunct,[],[normalize_9_0]) ).
fof(normalize_9_101,plain,
( ( op1(e10,e11) != e10
| op1(e10,e12) != e10
| op1(e10,e13) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e12) != e10
| op1(e13,e10) = e13 )
& ( op1(e10,e11) != e10
| op1(e10,e13) != e10
| op1(e12,e10) = e12 )
& ( op1(e10,e11) != e10
| op1(e12,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e10,e12) != e10
| op1(e10,e13) != e10
| op1(e11,e10) = e11 )
& ( op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 )
& ( op1(e10,e13) != e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12 )
& ( op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 ) ),
inference(clausify,[],[normalize_9_100]) ).
fof(normalize_9_102,plain,
( op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_9_101]) ).
fof(normalize_9_103,plain,
e10 != e11,
inference(conjunct,[],[normalize_9_51]) ).
fof(normalize_9_104,plain,
( ~ definitionFOFtoCNF_57
<=> ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_9_105,plain,
( ( h2(e10) != e22
| ~ definitionFOFtoCNF_57 )
& ( h2(e11) != e22
| ~ definitionFOFtoCNF_57 )
& ( h2(e12) != e22
| ~ definitionFOFtoCNF_57 )
& ( h2(e13) != e22
| ~ definitionFOFtoCNF_57 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_57 ) ),
inference(clausify,[],[normalize_9_104]) ).
fof(normalize_9_106,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_57 ),
inference(conjunct,[],[normalize_9_105]) ).
fof(normalize_9_107,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_9_28]) ).
fof(normalize_9_108,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_9_22]) ).
fof(normalize_9_109,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_110,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_9_66]) ).
fof(normalize_9_111,plain,
( op1(e11,e10) != e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_9_2]) ).
fof(normalize_9_112,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_113,plain,
h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
inference(conjunct,[],[normalize_9_28]) ).
fof(normalize_9_114,plain,
h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)),
inference(conjunct,[],[normalize_9_22]) ).
fof(normalize_9_115,plain,
h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),
inference(conjunct,[],[normalize_9_6]) ).
fof(normalize_9_116,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_9_34]) ).
fof(normalize_9_117,plain,
op1(e12,e10) != op1(e12,e12),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_118,plain,
op1(e12,e10) != op1(e12,e13),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_119,plain,
( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_57 ),
inference(conjunct,[],[normalize_9_105]) ).
fof(normalize_9_120,plain,
op2(e22,e20) != op2(e22,e21),
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_121,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(conjunct,[],[normalize_9_28]) ).
fof(normalize_9_122,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(conjunct,[],[normalize_9_66]) ).
fof(normalize_9_123,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference(conjunct,[],[normalize_9_66]) ).
fof(normalize_9_124,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_125,plain,
op1(e10,e11) != op1(e10,e12),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_126,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_9_66]) ).
cnf(refute_9_0,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_9_3]) ).
cnf(refute_9_1,plain,
op2(e21,e21) != op2(e21,e22),
inference(canonicalize,[],[normalize_9_5]) ).
cnf(refute_9_2,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_9_7]) ).
cnf(refute_9_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_9_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_9_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_9_3,refute_9_4]) ).
cnf(refute_9_6,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_9_7,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_9_2,refute_9_6]) ).
cnf(refute_9_8,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_9_9,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_7,refute_9_8]) ).
cnf(refute_9_10,plain,
h2(e13) != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e22)) )],[refute_9_9,refute_9_1]) ).
cnf(refute_9_11,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_9_9]) ).
cnf(refute_9_12,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_9_10]) ).
cnf(refute_9_13,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_9_12]) ).
cnf(refute_9_14,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_9_15,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_9_13,refute_9_14]) ).
cnf(refute_9_16,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_9_17,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_16]) ).
cnf(refute_9_18,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_9_17,refute_9_12]) ).
cnf(refute_9_19,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_9_11,refute_9_18]) ).
cnf(refute_9_20,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_9_13]) ).
cnf(refute_9_21,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_9_14]) ).
cnf(refute_9_22,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_9_15]) ).
cnf(refute_9_23,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_9_24,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_23]) ).
cnf(refute_9_25,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_9_24,refute_9_22]) ).
cnf(refute_9_26,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_9_21,refute_9_25]) ).
cnf(refute_9_27,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_9_16]) ).
cnf(refute_9_28,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_9_18]) ).
cnf(refute_9_29,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_9_30,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_9_31,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_9_29,refute_9_30]) ).
cnf(refute_9_32,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_31]) ).
cnf(refute_9_33,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_9_19]) ).
cnf(refute_9_34,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = e20 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_9_35,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_9_33,refute_9_34]) ).
cnf(refute_9_36,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_9_37,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) ),[1,0],$fot(e20)]]) ).
cnf(refute_9_38,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_9_36,refute_9_37]) ).
cnf(refute_9_39,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e20) )],[refute_9_35,refute_9_38]) ).
cnf(refute_9_40,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_9_41,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_9_5,refute_9_40]) ).
cnf(refute_9_42,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))),bind(Y,$fot(op2(e20,op2(e22,e22)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_9_43,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_9_39,refute_9_42]) ).
cnf(refute_9_44,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_9_32,refute_9_43]) ).
cnf(refute_9_45,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,e23)
| h3(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e20,e23)) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_9_46,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| h3(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,e23)) )],[refute_9_44,refute_9_45]) ).
cnf(refute_9_47,plain,
h3(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_9_28,refute_9_46]) ).
cnf(refute_9_48,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_9_49,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_9_47,refute_9_48]) ).
cnf(refute_9_50,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e23) != h3(e11)
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_9_51,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_9_49,refute_9_50]) ).
cnf(refute_9_52,plain,
op2(e20,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_9_51,refute_9_27]) ).
cnf(refute_9_53,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_9_20]) ).
cnf(refute_9_54,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,op2(e22,e22))) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_9_55,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_9_39,refute_9_54]) ).
cnf(refute_9_56,plain,
e21 = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(e21,op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_9_53,refute_9_55]) ).
cnf(refute_9_57,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op2(e20,op2(e22,e22)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_9_58,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_9_32,refute_9_57]) ).
cnf(refute_9_59,plain,
op2(e20,op2(e22,e22)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_9_49,refute_9_58]) ).
cnf(refute_9_60,plain,
( e21 != op2(e20,op2(e22,e22))
| op2(e20,op2(e22,e22)) != h3(e11)
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[0],$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_9_61,plain,
( e21 != op2(e20,op2(e22,e22))
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),h3(e11)) )],[refute_9_59,refute_9_60]) ).
cnf(refute_9_62,plain,
e21 = h3(e11),
inference(resolve,[$cnf( $equal(e21,op2(e20,op2(e22,e22))) )],[refute_9_56,refute_9_61]) ).
cnf(refute_9_63,plain,
( e21 != h3(e11)
| h3(e11) = e21 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e21)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_9_64,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_9_62,refute_9_63]) ).
cnf(refute_9_65,plain,
( h3(e11) != e21
| op2(e20,e22) != e21
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_9_66,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_9_64,refute_9_65]) ).
cnf(refute_9_67,plain,
op2(e20,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_9_66,refute_9_52]) ).
cnf(refute_9_68,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_9_26,refute_9_67]) ).
cnf(refute_9_69,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_9_21]) ).
cnf(refute_9_70,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_9_23]) ).
cnf(refute_9_71,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_9_72,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_9_70,refute_9_71]) ).
cnf(refute_9_73,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_9_74,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_72,refute_9_73]) ).
cnf(refute_9_75,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_9_74,refute_9_69]) ).
cnf(refute_9_76,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_9_29]) ).
cnf(refute_9_77,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_9_31]) ).
cnf(refute_9_78,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e12)))]]) ).
cnf(refute_9_79,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_9_80,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_9_78,refute_9_79]) ).
cnf(refute_9_81,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_9_77,refute_9_80]) ).
cnf(refute_9_82,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_9_32]) ).
cnf(refute_9_83,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_9_33]) ).
cnf(refute_9_84,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_9_85,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_9_83,refute_9_84]) ).
cnf(refute_9_86,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_9_87,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_9_88,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_9_86,refute_9_87]) ).
cnf(refute_9_89,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_88]) ).
cnf(refute_9_90,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_9_91,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_9_92,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_9_90,refute_9_91]) ).
cnf(refute_9_93,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_92]) ).
cnf(refute_9_94,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_9_95,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_9_93,refute_9_94]) ).
cnf(refute_9_96,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_9_89,refute_9_95]) ).
cnf(refute_9_97,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_9_98,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_9_96,refute_9_97]) ).
cnf(refute_9_99,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_85,refute_9_98]) ).
cnf(refute_9_100,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_9_101,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_9_99,refute_9_100]) ).
cnf(refute_9_102,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_9_33,refute_9_101]) ).
cnf(refute_9_103,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_9_104,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_9_102,refute_9_103]) ).
cnf(refute_9_105,plain,
( h4(e13) != e20
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_9_106,plain,
( h4(e13) != e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_85,refute_9_105]) ).
cnf(refute_9_107,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_9_104,refute_9_106]) ).
cnf(refute_9_108,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_9_109,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_9_110,plain,
( op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_9_108,refute_9_109]) ).
cnf(refute_9_111,plain,
op2(e20,op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_9_107,refute_9_110]) ).
cnf(refute_9_112,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_9_113,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,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(e20)]]) ).
cnf(refute_9_114,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_9_112,refute_9_113]) ).
cnf(refute_9_115,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_9_107,refute_9_114]) ).
cnf(refute_9_116,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_9_117,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_9_115,refute_9_116]) ).
cnf(refute_9_118,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_9_111,refute_9_117]) ).
cnf(refute_9_119,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_9_120,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_9_118,refute_9_119]) ).
cnf(refute_9_121,plain,
op2(op2(e23,e23),op2(e23,e23)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_72,refute_9_120]) ).
cnf(refute_9_122,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_9_123,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h1(e13)) )],[refute_9_121,refute_9_122]) ).
cnf(refute_9_124,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_9_82,refute_9_123]) ).
cnf(refute_9_125,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_9_126,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_9_127,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_9_125,refute_9_126]) ).
cnf(refute_9_128,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_9_124,refute_9_127]) ).
cnf(refute_9_129,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),h4(e12)))),bind(Z,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_9_130,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_9_128,refute_9_129]) ).
cnf(refute_9_131,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),e23)) )],[refute_9_81,refute_9_130]) ).
cnf(refute_9_132,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h1(e13),e23)
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_9_133,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),e23)) )],[refute_9_131,refute_9_132]) ).
cnf(refute_9_134,plain,
h4(op1(e10,e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_9_76,refute_9_133]) ).
cnf(refute_9_135,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_9_35]) ).
cnf(refute_9_136,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_9_37]) ).
cnf(refute_9_137,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_9_39]) ).
cnf(refute_9_138,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_9_139,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_9_137,refute_9_138]) ).
cnf(refute_9_140,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_9_141,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_139,refute_9_140]) ).
cnf(refute_9_142,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_9_141,refute_9_136]) ).
cnf(refute_9_143,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_9_135,refute_9_142]) ).
cnf(refute_9_144,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_9_40]) ).
cnf(refute_9_145,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(canonicalize,[],[normalize_9_41]) ).
cnf(refute_9_146,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_9_42]) ).
cnf(refute_9_147,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = e10 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e12,e12),op1(e12,e12))))]]) ).
cnf(refute_9_148,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_9_146,refute_9_147]) ).
cnf(refute_9_149,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_9_150,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_9_151,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_9_149,refute_9_150]) ).
cnf(refute_9_152,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e10) )],[refute_9_148,refute_9_151]) ).
cnf(refute_9_153,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(e10,op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,op1(e12,e12))) ),[0],$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_9_154,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_9_152,refute_9_153]) ).
cnf(refute_9_155,plain,
e11 = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(e11,op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_9_145,refute_9_154]) ).
cnf(refute_9_156,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_9_157,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_9_158,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_9_156,refute_9_157]) ).
cnf(refute_9_159,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_139,refute_9_158]) ).
cnf(refute_9_160,plain,
( e11 != op1(e10,op1(e12,e12))
| op1(e10,op1(e12,e12)) != op1(e10,e13)
| e11 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e13)) ),[0],$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_9_161,plain,
( e11 != op1(e10,op1(e12,e12))
| e11 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_9_159,refute_9_160]) ).
cnf(refute_9_162,plain,
e11 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e11,op1(e10,op1(e12,e12))) )],[refute_9_155,refute_9_161]) ).
cnf(refute_9_163,plain,
( e11 != op1(e10,e13)
| op1(e10,e13) = e11 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_9_164,plain,
op1(e10,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_9_162,refute_9_163]) ).
cnf(refute_9_165,plain,
( op1(e10,e12) != e11
| op1(e10,e13) != e11
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_9_166,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_9_164,refute_9_165]) ).
cnf(refute_9_167,plain,
op1(e10,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_9_166,refute_9_144]) ).
cnf(refute_9_168,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_9_143,refute_9_167]) ).
cnf(refute_9_169,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_9_43]) ).
cnf(refute_9_170,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_9_44]) ).
cnf(refute_9_171,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_9_47]) ).
cnf(refute_9_172,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_9_48]) ).
cnf(refute_9_173,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_9_174,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_139,refute_9_173]) ).
cnf(refute_9_175,plain,
e13 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_9_174,refute_9_172]) ).
cnf(refute_9_176,plain,
( op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).
cnf(refute_9_177,plain,
op1(e13,e12) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_9_176,refute_9_175]) ).
cnf(refute_9_178,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_9_171,refute_9_177]) ).
cnf(refute_9_179,plain,
( e11 != op1(e13,e12)
| op1(e11,e12) != e11
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_9_180,plain,
( e11 != op1(e13,e12)
| op1(e10,e12) = e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_9_178,refute_9_179]) ).
cnf(refute_9_181,plain,
( e11 != op1(e13,e12)
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_9_180,refute_9_170]) ).
cnf(refute_9_182,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_9_49]) ).
cnf(refute_9_183,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_9_182,refute_9_177]) ).
cnf(refute_9_184,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_9_50]) ).
cnf(refute_9_185,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_9_186,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_9_187,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_9_185,refute_9_186]) ).
cnf(refute_9_188,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_139,refute_9_187]) ).
cnf(refute_9_189,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_9_190,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_9_191,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_9_189,refute_9_190]) ).
cnf(refute_9_192,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_139,refute_9_191]) ).
cnf(refute_9_193,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_9_194,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_9_192,refute_9_193]) ).
cnf(refute_9_195,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_9_188,refute_9_194]) ).
cnf(refute_9_196,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_9_197,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_9_195,refute_9_196]) ).
cnf(refute_9_198,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_9_146,refute_9_197]) ).
cnf(refute_9_199,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_9_200,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_9_198,refute_9_199]) ).
cnf(refute_9_201,plain,
( op1(e13,e12) != e10
| op1(e13,e13) != e10
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_9_202,plain,
( op1(e13,e12) != e10
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_200,refute_9_201]) ).
cnf(refute_9_203,plain,
op1(e13,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_9_202,refute_9_184]) ).
cnf(refute_9_204,plain,
( op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_9_183,refute_9_203]) ).
cnf(refute_9_205,plain,
( e11 != e11
| op1(e13,e12) != e11
| e11 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_9_206,plain,
( e11 != e11
| e11 = op1(e13,e12)
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_9_204,refute_9_205]) ).
cnf(refute_9_207,plain,
( e11 != e11
| op1(e10,e12) = e10
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,op1(e13,e12)) )],[refute_9_206,refute_9_181]) ).
cnf(refute_9_208,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_9_209,plain,
( op1(e10,e12) = e10
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_9_208,refute_9_207]) ).
cnf(refute_9_210,plain,
( op1(e10,e12) != e12
| op1(e13,e12) != e12
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_9_211,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_9_209,refute_9_210]) ).
cnf(refute_9_212,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_9_211,refute_9_169]) ).
cnf(refute_9_213,plain,
( op1(e10,e12) != e10
| op1(e10,e12) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[0],$fot(e12)]]) ).
cnf(refute_9_214,plain,
( op1(e10,e12) != e12
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_9_212,refute_9_213]) ).
cnf(refute_9_215,plain,
e10 != e12,
inference(canonicalize,[],[normalize_9_52]) ).
cnf(refute_9_216,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_9_217,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_9_216,refute_9_215]) ).
cnf(refute_9_218,plain,
op1(e10,e12) != e12,
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_9_214,refute_9_217]) ).
cnf(refute_9_219,plain,
op1(e10,e12) = e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_9_168,refute_9_218]) ).
cnf(refute_9_220,plain,
h4(op1(e10,e12)) = h4(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_9_221,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| op1(e10,e12) != e10
| h4(op1(e10,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_9_222,plain,
( op1(e10,e12) != e10
| h4(op1(e10,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_9_220,refute_9_221]) ).
cnf(refute_9_223,plain,
h4(op1(e10,e12)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_9_219,refute_9_222]) ).
cnf(refute_9_224,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) != h4(e10)
| h4(op1(e10,e12)) = h1(e13) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_9_225,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e10)) )],[refute_9_223,refute_9_224]) ).
cnf(refute_9_226,plain,
h4(op1(e10,e12)) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_9_124,refute_9_225]) ).
cnf(refute_9_227,plain,
( h4(op1(e10,e12)) != h1(e13)
| h4(op1(e10,e12)) != op2(h1(e13),e23)
| h1(e13) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(h1(e13))]]) ).
cnf(refute_9_228,plain,
( h4(op1(e10,e12)) != op2(h1(e13),e23)
| h1(e13) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h1(e13)) )],[refute_9_226,refute_9_227]) ).
cnf(refute_9_229,plain,
h1(e13) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) )],[refute_9_134,refute_9_228]) ).
cnf(refute_9_230,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_9_53]) ).
cnf(refute_9_231,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_9_232,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_72,refute_9_231]) ).
cnf(refute_9_233,plain,
( h1(e13) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_9_230,refute_9_232]) ).
cnf(refute_9_234,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_9_235,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_72,refute_9_234]) ).
cnf(refute_9_236,plain,
( h1(e13) = e20
| h1(e13) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_9_233,refute_9_235]) ).
cnf(refute_9_237,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_9_238,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_72,refute_9_237]) ).
cnf(refute_9_239,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_9_236,refute_9_238]) ).
cnf(refute_9_240,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_9_241,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_72,refute_9_240]) ).
cnf(refute_9_242,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_9_239,refute_9_241]) ).
cnf(refute_9_243,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_9_54]) ).
cnf(refute_9_244,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_9_245,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_72,refute_9_244]) ).
cnf(refute_9_246,plain,
( h1(e13) != h3(e11)
| op2(e20,e23) != h3(e11)
| h1(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_9_247,plain,
( h1(e13) != h3(e11)
| h1(e13) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_9_49,refute_9_246]) ).
cnf(refute_9_248,plain,
( h1(e13) != h3(e11)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_9_247,refute_9_245]) ).
cnf(refute_9_249,plain,
h1(e13) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_9_248,refute_9_243]) ).
cnf(refute_9_250,plain,
( h1(e13) != e21
| h3(e11) != e21
| h1(e13) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_9_251,plain,
( h1(e13) != e21
| h1(e13) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_9_64,refute_9_250]) ).
cnf(refute_9_252,plain,
h1(e13) != e21,
inference(resolve,[$cnf( $equal(h1(e13),h3(e11)) )],[refute_9_251,refute_9_249]) ).
cnf(refute_9_253,plain,
( h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_9_242,refute_9_252]) ).
cnf(refute_9_254,plain,
( h1(e13) != e23
| h1(e13) != op2(h1(e13),e23)
| h1(e13) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_9_255,plain,
( h1(e13) != op2(h1(e13),e23)
| h1(e13) = e20
| h1(e13) = e22
| h1(e13) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_9_253,refute_9_254]) ).
cnf(refute_9_256,plain,
( h1(e13) = e20
| h1(e13) = e22
| h1(e13) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) )],[refute_9_229,refute_9_255]) ).
cnf(refute_9_257,plain,
( h1(e13) != op2(e23,e23)
| op2(e23,e23) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),e20) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_9_258,plain,
( h1(e13) != op2(e23,e23)
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_9_107,refute_9_257]) ).
cnf(refute_9_259,plain,
( h1(e13) = e20
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e23)) )],[refute_9_256,refute_9_258]) ).
cnf(refute_9_260,plain,
( h1(e13) != e20
| h1(e13) != op2(h1(e13),e23)
| h1(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_9_261,plain,
( h1(e13) != op2(h1(e13),e23)
| h1(e13) = e22
| h1(e13) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_9_259,refute_9_260]) ).
cnf(refute_9_262,plain,
( h1(e13) = e22
| h1(e13) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) )],[refute_9_229,refute_9_261]) ).
cnf(refute_9_263,plain,
( h3(e11) != e21
| h3(e11) != op2(e20,e23)
| e21 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),op2(e20,e23)) ),[0],$fot(e21)]]) ).
cnf(refute_9_264,plain,
( h3(e11) != op2(e20,e23)
| e21 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_9_64,refute_9_263]) ).
cnf(refute_9_265,plain,
e21 = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_9_47,refute_9_264]) ).
cnf(refute_9_266,plain,
( e21 != op2(e20,e23)
| op2(e20,e23) = e21 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_9_267,plain,
op2(e20,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_9_265,refute_9_266]) ).
cnf(refute_9_268,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e23) != e21
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),e21) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_9_269,plain,
( h1(e13) != op2(e20,e23)
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_9_267,refute_9_268]) ).
cnf(refute_9_270,plain,
( h1(e13) = e21
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_9_262,refute_9_269]) ).
cnf(refute_9_271,plain,
h1(e13) = e22,
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_9_270,refute_9_252]) ).
cnf(refute_9_272,plain,
( e22 != op2(e20,e22)
| h1(e13) != e22
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_9_273,plain,
( e22 != op2(e20,e22)
| h1(e13) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_9_271,refute_9_272]) ).
cnf(refute_9_274,plain,
e22 != op2(e20,e22),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_9_273,refute_9_75]) ).
cnf(refute_9_275,plain,
( op2(e20,e22) != e22
| e22 = op2(e20,e22) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(e22))]]) ).
cnf(refute_9_276,plain,
op2(e20,e22) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e22)) )],[refute_9_275,refute_9_274]) ).
cnf(refute_9_277,plain,
op2(e20,e22) = e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_9_68,refute_9_276]) ).
cnf(refute_9_278,plain,
( e20 != op2(e21,e22)
| op2(e20,e22) != e20
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_9_279,plain,
( e20 != op2(e21,e22)
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_9_277,refute_9_278]) ).
cnf(refute_9_280,plain,
e20 != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_9_279,refute_9_20]) ).
cnf(refute_9_281,plain,
( op2(e21,e22) != e20
| e20 = op2(e21,e22) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(op2(e21,e22))),bind(Y,$fot(e20))]]) ).
cnf(refute_9_282,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e22)) )],[refute_9_281,refute_9_280]) ).
cnf(refute_9_283,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_9_19,refute_9_282]) ).
cnf(refute_9_284,plain,
( h2(e13) != e21
| op2(e21,e22) != e21
| h2(e13) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_9_285,plain,
( h2(e13) != e21
| h2(e13) = op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_9_283,refute_9_284]) ).
cnf(refute_9_286,plain,
( h2(e13) != e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_9_285,refute_9_10]) ).
cnf(refute_9_287,plain,
op2(e21,e20) != op2(e21,e21),
inference(canonicalize,[],[normalize_9_55]) ).
cnf(refute_9_288,plain,
( op2(e21,e20) != h2(e13)
| op2(e21,e21) != h2(e13)
| op2(e21,e20) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_9_289,plain,
( op2(e21,e20) != h2(e13)
| op2(e21,e20) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_7,refute_9_288]) ).
cnf(refute_9_290,plain,
op2(e21,e20) != h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e21)) )],[refute_9_289,refute_9_287]) ).
cnf(refute_9_291,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_9_56]) ).
cnf(refute_9_292,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_9_293,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_9_294,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_9_292,refute_9_293]) ).
cnf(refute_9_295,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_7,refute_9_294]) ).
cnf(refute_9_296,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_9_297,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),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(e13))]]) ).
cnf(refute_9_298,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_9_296,refute_9_297]) ).
cnf(refute_9_299,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_7,refute_9_298]) ).
cnf(refute_9_300,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_9_301,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_9_299,refute_9_300]) ).
cnf(refute_9_302,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_9_295,refute_9_301]) ).
cnf(refute_9_303,plain,
( h2(e10) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e10) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_9_304,plain,
( h2(e10) != op2(op2(e21,e21),op2(e21,e21))
| h2(e10) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_9_302,refute_9_303]) ).
cnf(refute_9_305,plain,
h2(e10) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),op2(e21,e21))) )],[refute_9_291,refute_9_304]) ).
cnf(refute_9_306,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_9_57]) ).
cnf(refute_9_307,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_9_308,plain,
( h2(e13) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_7,refute_9_307]) ).
cnf(refute_9_309,plain,
h2(e13) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_9_308,refute_9_306]) ).
cnf(refute_9_310,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_9_59]) ).
cnf(refute_9_311,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_9_312,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_9_49,refute_9_311]) ).
cnf(refute_9_313,plain,
( h3(e11) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_9_310,refute_9_312]) ).
cnf(refute_9_314,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_9_315,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_85,refute_9_314]) ).
cnf(refute_9_316,plain,
( h3(e11) = e23
| h4(e13) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_9_313,refute_9_315]) ).
cnf(refute_9_317,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_9_60]) ).
cnf(refute_9_318,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_9_319,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_318]) ).
cnf(refute_9_320,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_9_319,refute_9_317]) ).
cnf(refute_9_321,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_9_322,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_9_321,refute_9_320]) ).
cnf(refute_9_323,plain,
( h3(e11) = e23
| h4(e13) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_9_316,refute_9_322]) ).
cnf(refute_9_324,plain,
( h3(e11) != e21
| h3(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_9_325,plain,
( h3(e11) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_9_64,refute_9_324]) ).
cnf(refute_9_326,plain,
( e21 = e23
| h4(e13) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_9_323,refute_9_325]) ).
cnf(refute_9_327,plain,
( h4(e13) != e20
| h4(e13) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e20)]]) ).
cnf(refute_9_328,plain,
( h4(e13) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_9_104,refute_9_327]) ).
cnf(refute_9_329,plain,
( e20 = e23
| e21 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_9_326,refute_9_328]) ).
cnf(refute_9_330,plain,
e20 != e23,
inference(canonicalize,[],[normalize_9_62]) ).
cnf(refute_9_331,plain,
( e21 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_9_329,refute_9_330]) ).
cnf(refute_9_332,plain,
e21 != e23,
inference(canonicalize,[],[normalize_9_63]) ).
cnf(refute_9_333,plain,
op2(e21,e23) = e23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_331,refute_9_332]) ).
cnf(refute_9_334,plain,
( h2(e13) != e23
| op2(e21,e23) != e23
| h2(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_9_335,plain,
( h2(e13) != e23
| h2(e13) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_9_333,refute_9_334]) ).
cnf(refute_9_336,plain,
h2(e13) != e23,
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e23)) )],[refute_9_335,refute_9_309]) ).
cnf(refute_9_337,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(canonicalize,[],[normalize_9_64]) ).
cnf(refute_9_338,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_9_339,plain,
( op2(e21,e21) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_7,refute_9_338]) ).
cnf(refute_9_340,plain,
( h2(e13) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_9_337,refute_9_339]) ).
cnf(refute_9_341,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_9_342,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_7,refute_9_341]) ).
cnf(refute_9_343,plain,
( h2(e13) = e20
| h2(e13) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_9_340,refute_9_342]) ).
cnf(refute_9_344,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_9_345,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_7,refute_9_344]) ).
cnf(refute_9_346,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_9_343,refute_9_345]) ).
cnf(refute_9_347,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_9_348,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_7,refute_9_347]) ).
cnf(refute_9_349,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_9_346,refute_9_348]) ).
cnf(refute_9_350,plain,
( e23 != e23
| h2(e13) != e23
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_9_351,plain,
( e23 != e23
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_9_349,refute_9_350]) ).
cnf(refute_9_352,plain,
( e23 != e23
| h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_9_351,refute_9_336]) ).
cnf(refute_9_353,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_9_354,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_9_353,refute_9_352]) ).
cnf(refute_9_355,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| h2(e13) != e22
| h2(e10) = op2(e22,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),h2(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_9_356,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| h2(e10) = op2(e22,h2(e13))
| h2(e13) = e20
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_9_354,refute_9_355]) ).
cnf(refute_9_357,plain,
( h2(e10) = op2(e22,h2(e13))
| h2(e13) = e20
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),h2(e13))) )],[refute_9_305,refute_9_356]) ).
cnf(refute_9_358,plain,
( h2(e10) != op2(e22,h2(e13))
| h2(e13) != e22
| h2(e10) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e22,h2(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_9_359,plain,
( h2(e10) != op2(e22,h2(e13))
| h2(e10) = op2(e22,e22)
| h2(e13) = e20
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_9_354,refute_9_358]) ).
cnf(refute_9_360,plain,
( h2(e10) = op2(e22,e22)
| h2(e13) = e20
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,h2(e13))) )],[refute_9_357,refute_9_359]) ).
cnf(refute_9_361,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) != e23
| h2(e10) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_9_362,plain,
( h2(e10) != op2(e22,e22)
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_361]) ).
cnf(refute_9_363,plain,
( h2(e10) = e23
| h2(e13) = e20
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_9_360,refute_9_362]) ).
cnf(refute_9_364,plain,
( h2(e13) != e20
| op2(e21,e20) != e20
| op2(e21,e20) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),h2(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_9_365,plain,
( op2(e21,e20) != e20
| h2(e10) = e23
| h2(e13) = e21
| op2(e21,e20) = h2(e13) ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_9_363,refute_9_364]) ).
cnf(refute_9_366,plain,
( op2(e21,e20) != e20
| h2(e10) = e23
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e13)) )],[refute_9_365,refute_9_290]) ).
cnf(refute_9_367,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(canonicalize,[],[normalize_9_65]) ).
cnf(refute_9_368,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_9_369,plain,
( h4(e13) != e20
| op2(h4(e11),h4(e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) = op2(h4(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_9_370,plain,
( h4(e13) != e20
| op2(h4(e11),h4(e13)) = op2(h4(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) )],[refute_9_368,refute_9_369]) ).
cnf(refute_9_371,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_9_104,refute_9_370]) ).
cnf(refute_9_372,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) != op2(h4(e11),e20)
| h4(op1(e11,e13)) = op2(h4(e11),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(h4(e11),e20)) ),[0],$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_9_373,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e13)) = op2(h4(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),e20)) )],[refute_9_371,refute_9_372]) ).
cnf(refute_9_374,plain,
h4(op1(e11,e13)) = op2(h4(e11),e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_9_367,refute_9_373]) ).
cnf(refute_9_375,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_9_67]) ).
cnf(refute_9_376,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_9_68]) ).
cnf(refute_9_377,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_9_378,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_139,refute_9_377]) ).
cnf(refute_9_379,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_9_378,refute_9_376]) ).
cnf(refute_9_380,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_9_381,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_9_380,refute_9_379]) ).
cnf(refute_9_382,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_9_375,refute_9_381]) ).
cnf(refute_9_383,plain,
( op1(e10,e13) != e11
| op1(e10,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_9_384,plain,
( op1(e10,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_9_164,refute_9_383]) ).
cnf(refute_9_385,plain,
( e11 = e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_9_382,refute_9_384]) ).
cnf(refute_9_386,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_9_387,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_200,refute_9_386]) ).
cnf(refute_9_388,plain,
( e10 = e13
| e11 = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_9_385,refute_9_387]) ).
cnf(refute_9_389,plain,
e10 != e13,
inference(canonicalize,[],[normalize_9_69]) ).
cnf(refute_9_390,plain,
( e11 = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_9_388,refute_9_389]) ).
cnf(refute_9_391,plain,
e11 != e13,
inference(canonicalize,[],[normalize_9_70]) ).
cnf(refute_9_392,plain,
op1(e11,e13) = e13,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_9_390,refute_9_391]) ).
cnf(refute_9_393,plain,
h4(op1(e11,e13)) = h4(op1(e11,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e13)))]]) ).
cnf(refute_9_394,plain,
( h4(op1(e11,e13)) != h4(op1(e11,e13))
| op1(e11,e13) != e13
| h4(op1(e11,e13)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) ),[1,0],$fot(e13)]]) ).
cnf(refute_9_395,plain,
( op1(e11,e13) != e13
| h4(op1(e11,e13)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) )],[refute_9_393,refute_9_394]) ).
cnf(refute_9_396,plain,
h4(op1(e11,e13)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_9_392,refute_9_395]) ).
cnf(refute_9_397,plain,
( h4(e13) != e20
| h4(op1(e11,e13)) != h4(e13)
| h4(op1(e11,e13)) = e20 ),
inference(subst,[],[refute_9_41:[bind(X,$fot(h4(op1(e11,e13)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_9_398,plain,
( h4(e13) != e20
| h4(op1(e11,e13)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(e13)) )],[refute_9_396,refute_9_397]) ).
cnf(refute_9_399,plain,
h4(op1(e11,e13)) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_9_104,refute_9_398]) ).
cnf(refute_9_400,plain,
( h4(op1(e11,e13)) != e20
| h4(op1(e11,e13)) != op2(h4(e11),e20)
| e20 = op2(h4(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),e20)) ),[0],$fot(e20)]]) ).
cnf(refute_9_401,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e20)
| e20 = op2(h4(e11),e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),e20) )],[refute_9_399,refute_9_400]) ).
cnf(refute_9_402,plain,
e20 = op2(h4(e11),e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),e20)) )],[refute_9_374,refute_9_401]) ).
cnf(refute_9_403,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(canonicalize,[],[normalize_9_71]) ).
cnf(refute_9_404,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_9_72]) ).
cnf(refute_9_405,plain,
( op2(e22,e20) != e23
| op2(e22,e22) != e23
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_9_406,plain,
( op2(e22,e20) != e23
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_405]) ).
cnf(refute_9_407,plain,
op2(e22,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_9_406,refute_9_404]) ).
cnf(refute_9_408,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_9_403,refute_9_407]) ).
cnf(refute_9_409,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(canonicalize,[],[normalize_9_73]) ).
cnf(refute_9_410,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = h4(e10) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_9_411,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_9_82,refute_9_410]) ).
cnf(refute_9_412,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)))]]) ).
cnf(refute_9_413,plain,
( op2(op2(e23,e23),op2(e23,e23)) != h4(e10)
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(h4(e10))]]) ).
cnf(refute_9_414,plain,
( op2(op2(e23,e23),op2(e23,e23)) != h4(e10)
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) )],[refute_9_412,refute_9_413]) ).
cnf(refute_9_415,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h4(e10)) )],[refute_9_411,refute_9_414]) ).
cnf(refute_9_416,plain,
( h4(e11) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) != op2(h4(e10),op2(e23,e23))
| h4(e11) = op2(h4(e10),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h4(e10),op2(e23,e23))) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)))]]) ).
cnf(refute_9_417,plain,
( h4(e11) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| h4(e11) = op2(h4(e10),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) )],[refute_9_415,refute_9_416]) ).
cnf(refute_9_418,plain,
h4(e11) = op2(h4(e10),op2(e23,e23)),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) )],[refute_9_409,refute_9_417]) ).
cnf(refute_9_419,plain,
op2(h1(e13),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e23,e23)))]]) ).
cnf(refute_9_420,plain,
( op2(e23,e23) != e20
| op2(h1(e13),op2(e23,e23)) != op2(h1(e13),op2(e23,e23))
| op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_9_421,plain,
( op2(e23,e23) != e20
| op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) )],[refute_9_419,refute_9_420]) ).
cnf(refute_9_422,plain,
op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_9_107,refute_9_421]) ).
cnf(refute_9_423,plain,
op2(h4(e10),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(h4(e10),op2(e23,e23)))]]) ).
cnf(refute_9_424,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),op2(e23,e23)) != op2(h4(e10),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_9_425,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) )],[refute_9_423,refute_9_424]) ).
cnf(refute_9_426,plain,
op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_9_124,refute_9_425]) ).
cnf(refute_9_427,plain,
( op2(h1(e13),op2(e23,e23)) != op2(h1(e13),e20)
| op2(h4(e10),op2(e23,e23)) != op2(h1(e13),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op2(h4(e10),op2(e23,e23)))),bind(Y,$fot(op2(h1(e13),op2(e23,e23)))),bind(Z,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_9_428,plain,
( op2(h1(e13),op2(e23,e23)) != op2(h1(e13),e20)
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) )],[refute_9_426,refute_9_427]) ).
cnf(refute_9_429,plain,
op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),e20)) )],[refute_9_422,refute_9_428]) ).
cnf(refute_9_430,plain,
( h4(e11) != op2(h4(e10),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) != op2(h1(e13),e20)
| h4(e11) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h1(e13),e20)) ),[0],$fot(op2(h4(e10),op2(e23,e23)))]]) ).
cnf(refute_9_431,plain,
( h4(e11) != op2(h4(e10),op2(e23,e23))
| h4(e11) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h1(e13),e20)) )],[refute_9_429,refute_9_430]) ).
cnf(refute_9_432,plain,
h4(e11) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e10),op2(e23,e23))) )],[refute_9_418,refute_9_431]) ).
cnf(refute_9_433,plain,
( h1(e13) != e22
| h4(e11) != op2(h1(e13),e20)
| h4(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(h1(e13),e20)) ),[1,0],$fot(e22)]]) ).
cnf(refute_9_434,plain,
( h4(e11) != op2(h1(e13),e20)
| h1(e13) = e20
| h4(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_9_259,refute_9_433]) ).
cnf(refute_9_435,plain,
( h1(e13) = e20
| h4(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h1(e13),e20)) )],[refute_9_432,refute_9_434]) ).
cnf(refute_9_436,plain,
( h1(e13) != e20
| h1(e13) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(e22)]]) ).
cnf(refute_9_437,plain,
( h1(e13) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_9_271,refute_9_436]) ).
cnf(refute_9_438,plain,
( e22 = e20
| h4(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_9_435,refute_9_437]) ).
cnf(refute_9_439,plain,
e20 != e22,
inference(canonicalize,[],[normalize_9_74]) ).
cnf(refute_9_440,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_9_441,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_9_440,refute_9_439]) ).
cnf(refute_9_442,plain,
h4(e11) = op2(e22,e20),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_9_438,refute_9_441]) ).
cnf(refute_9_443,plain,
( h4(e11) != op2(e22,e20)
| op2(e22,e20) = h4(e11) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_9_444,plain,
op2(e22,e20) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e22,e20)) )],[refute_9_442,refute_9_443]) ).
cnf(refute_9_445,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != h4(e11)
| h4(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(h4(e11))]]) ).
cnf(refute_9_446,plain,
( op2(e22,e20) != e20
| h4(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h4(e11)) )],[refute_9_444,refute_9_445]) ).
cnf(refute_9_447,plain,
( h4(e11) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_9_408,refute_9_446]) ).
cnf(refute_9_448,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != h4(e11)
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[0],$fot(h4(e11))]]) ).
cnf(refute_9_449,plain,
( op2(e22,e20) != e21
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h4(e11)) )],[refute_9_444,refute_9_448]) ).
cnf(refute_9_450,plain,
( h4(e11) = e20
| h4(e11) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_9_447,refute_9_449]) ).
cnf(refute_9_451,plain,
( op2(e22,e20) != e22
| op2(e22,e20) != h4(e11)
| h4(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(h4(e11))]]) ).
cnf(refute_9_452,plain,
( op2(e22,e20) != e22
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h4(e11)) )],[refute_9_444,refute_9_451]) ).
cnf(refute_9_453,plain,
( h4(e11) = e20
| h4(e11) = e21
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_9_450,refute_9_452]) ).
cnf(refute_9_454,plain,
op2(e20,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_9_75]) ).
cnf(refute_9_455,plain,
( h1(e13) != op2(e22,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_9_456,plain,
( h1(e13) != op2(e22,e20)
| op2(e20,e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_72,refute_9_455]) ).
cnf(refute_9_457,plain,
h1(e13) != op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e22,e20)) )],[refute_9_456,refute_9_454]) ).
cnf(refute_9_458,plain,
( e22 != op2(e22,e20)
| h1(e13) != e22
| h1(e13) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_9_459,plain,
( e22 != op2(e22,e20)
| h1(e13) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_9_271,refute_9_458]) ).
cnf(refute_9_460,plain,
( e22 != h4(e11)
| op2(e22,e20) != h4(e11)
| e22 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e20)) ),[1],$fot(h4(e11))]]) ).
cnf(refute_9_461,plain,
( e22 != h4(e11)
| e22 = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h4(e11)) )],[refute_9_444,refute_9_460]) ).
cnf(refute_9_462,plain,
( e22 != h4(e11)
| h1(e13) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e20)) )],[refute_9_461,refute_9_459]) ).
cnf(refute_9_463,plain,
e22 != h4(e11),
inference(resolve,[$cnf( $equal(h1(e13),op2(e22,e20)) )],[refute_9_462,refute_9_457]) ).
cnf(refute_9_464,plain,
( h4(e11) != e22
| e22 = h4(e11) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h4(e11))),bind(Y,$fot(e22))]]) ).
cnf(refute_9_465,plain,
h4(e11) != e22,
inference(resolve,[$cnf( $equal(e22,h4(e11)) )],[refute_9_464,refute_9_463]) ).
cnf(refute_9_466,plain,
( h4(e11) = e20
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),e22) )],[refute_9_453,refute_9_465]) ).
cnf(refute_9_467,plain,
( e20 != op2(h4(e11),e20)
| h4(e11) != e21
| e20 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(h4(e11),e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_468,plain,
( e20 != op2(h4(e11),e20)
| e20 = op2(e21,e20)
| h4(e11) = e20 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_466,refute_9_467]) ).
cnf(refute_9_469,plain,
( e20 = op2(e21,e20)
| h4(e11) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(h4(e11),e20)) )],[refute_9_402,refute_9_468]) ).
cnf(refute_9_470,plain,
( e20 != op2(h4(e11),e20)
| h4(e11) != e20
| e20 = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(h4(e11),e20)) ),[1,0],$fot(e20)]]) ).
cnf(refute_9_471,plain,
( e20 != op2(h4(e11),e20)
| e20 = op2(e20,e20)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_9_466,refute_9_470]) ).
cnf(refute_9_472,plain,
( e20 = op2(e20,e20)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(e20,op2(h4(e11),e20)) )],[refute_9_402,refute_9_471]) ).
cnf(refute_9_473,plain,
( h1(e13) != e22
| h1(e13) != op2(e20,e20)
| e22 = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(e20,e20)) ),[0],$fot(e22)]]) ).
cnf(refute_9_474,plain,
( h1(e13) != op2(e20,e20)
| e22 = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_9_271,refute_9_473]) ).
cnf(refute_9_475,plain,
e22 = op2(e20,e20),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_9_70,refute_9_474]) ).
cnf(refute_9_476,plain,
( e22 != op2(e20,e20)
| op2(e20,e20) = e22 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_9_477,plain,
op2(e20,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e20)) )],[refute_9_475,refute_9_476]) ).
cnf(refute_9_478,plain,
( e20 != op2(e20,e20)
| op2(e20,e20) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e22) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_9_479,plain,
( e20 != op2(e20,e20)
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_9_477,refute_9_478]) ).
cnf(refute_9_480,plain,
( e20 = e22
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e20)) )],[refute_9_472,refute_9_479]) ).
cnf(refute_9_481,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_9_480,refute_9_439]) ).
cnf(refute_9_482,plain,
( h4(e11) != e20
| h4(e11) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e20) ),[0],$fot(e21)]]) ).
cnf(refute_9_483,plain,
( h4(e11) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_481,refute_9_482]) ).
cnf(refute_9_484,plain,
( e20 = op2(e21,e20)
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_9_469,refute_9_483]) ).
cnf(refute_9_485,plain,
e20 != e21,
inference(canonicalize,[],[normalize_9_76]) ).
cnf(refute_9_486,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_9_487,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_9_486,refute_9_485]) ).
cnf(refute_9_488,plain,
e20 = op2(e21,e20),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_9_484,refute_9_487]) ).
cnf(refute_9_489,plain,
( e20 != op2(e21,e20)
| op2(e21,e20) = e20 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_9_490,plain,
op2(e21,e20) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e20)) )],[refute_9_488,refute_9_489]) ).
cnf(refute_9_491,plain,
( e20 != e20
| op2(e21,e20) != e20
| op2(e21,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_9_492,plain,
( e20 != e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_9_490,refute_9_491]) ).
cnf(refute_9_493,plain,
( e20 != e20
| h2(e10) = e23
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_9_492,refute_9_366]) ).
cnf(refute_9_494,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_9_495,plain,
( h2(e10) = e23
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_9_494,refute_9_493]) ).
cnf(refute_9_496,plain,
( e21 != e21
| h2(e13) != e21
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[1],$fot(e21)]]) ).
cnf(refute_9_497,plain,
( e21 != e21
| h2(e10) = e23
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_495,refute_9_496]) ).
cnf(refute_9_498,plain,
( e21 != e21
| h2(e10) = e23
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_497,refute_9_286]) ).
cnf(refute_9_499,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_9_500,plain,
( h2(e10) = e23
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_9_499,refute_9_498]) ).
cnf(refute_9_501,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(canonicalize,[],[normalize_9_77]) ).
cnf(refute_9_502,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_9_503,plain,
( h4(e10) != h1(e13)
| op2(h4(e11),h4(e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) = op2(h4(e11),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_9_504,plain,
( h4(e10) != h1(e13)
| op2(h4(e11),h4(e10)) = op2(h4(e11),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_9_502,refute_9_503]) ).
cnf(refute_9_505,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h1(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_9_124,refute_9_504]) ).
cnf(refute_9_506,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) != op2(h4(e11),h1(e13))
| h4(op1(e11,e10)) = op2(h4(e11),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(h4(e11),h1(e13))) ),[0],$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_9_507,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e10)) = op2(h4(e11),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h1(e13))) )],[refute_9_505,refute_9_506]) ).
cnf(refute_9_508,plain,
h4(op1(e11,e10)) = op2(h4(e11),h1(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_9_501,refute_9_507]) ).
cnf(refute_9_509,plain,
( h1(e13) != e22
| h4(op1(e11,e10)) != op2(h4(e11),h1(e13))
| h4(op1(e11,e10)) = op2(h4(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_9_510,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h1(e13))
| h1(e13) = e20
| h4(op1(e11,e10)) = op2(h4(e11),e22) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_9_259,refute_9_509]) ).
cnf(refute_9_511,plain,
( h1(e13) = e20
| h4(op1(e11,e10)) = op2(h4(e11),e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h1(e13))) )],[refute_9_508,refute_9_510]) ).
cnf(refute_9_512,plain,
( e22 = e20
| h4(op1(e11,e10)) = op2(h4(e11),e22) ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_9_511,refute_9_437]) ).
cnf(refute_9_513,plain,
h4(op1(e11,e10)) = op2(h4(e11),e22),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_9_512,refute_9_441]) ).
cnf(refute_9_514,plain,
( h4(e11) != e21
| h4(op1(e11,e10)) != op2(h4(e11),e22)
| h4(op1(e11,e10)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_515,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e22)
| h4(e11) = e20
| h4(op1(e11,e10)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_466,refute_9_514]) ).
cnf(refute_9_516,plain,
( h4(e11) = e20
| h4(op1(e11,e10)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),e22)) )],[refute_9_513,refute_9_515]) ).
cnf(refute_9_517,plain,
( e21 = e20
| h4(op1(e11,e10)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_9_516,refute_9_483]) ).
cnf(refute_9_518,plain,
h4(op1(e11,e10)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_9_517,refute_9_487]) ).
cnf(refute_9_519,plain,
op1(e12,e10) != op1(e12,e11),
inference(canonicalize,[],[normalize_9_78]) ).
cnf(refute_9_520,plain,
op1(e11,e11) != op1(e12,e11),
inference(canonicalize,[],[normalize_9_79]) ).
cnf(refute_9_521,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_9_80]) ).
cnf(refute_9_522,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(canonicalize,[],[normalize_9_81]) ).
cnf(refute_9_523,plain,
( op1(e11,e13) != e10
| op1(e11,e13) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e10) ),[0],$fot(e13)]]) ).
cnf(refute_9_524,plain,
( op1(e11,e13) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_9_392,refute_9_523]) ).
cnf(refute_9_525,plain,
( e13 = e10
| op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_9_522,refute_9_524]) ).
cnf(refute_9_526,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_9_527,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_9_526,refute_9_389]) ).
cnf(refute_9_528,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_9_525,refute_9_527]) ).
cnf(refute_9_529,plain,
( op1(e10,e12) != e10
| op1(e11,e12) != e10
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_9_530,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_9_528,refute_9_529]) ).
cnf(refute_9_531,plain,
( op1(e10,e12) != e10
| op1(e11,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_9_530,refute_9_521]) ).
cnf(refute_9_532,plain,
( e10 != e10
| op1(e10,e12) != e10
| op1(e10,e12) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_9_533,plain,
( e10 != e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_9_219,refute_9_532]) ).
cnf(refute_9_534,plain,
( e10 != e10
| op1(e11,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_9_533,refute_9_531]) ).
cnf(refute_9_535,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_9_536,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_9_535,refute_9_534]) ).
cnf(refute_9_537,plain,
( e10 != op1(e12,e11)
| op1(e11,e11) != e10
| op1(e11,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_9_538,plain,
( e10 != op1(e12,e11)
| op1(e11,e10) = e10
| op1(e11,e11) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_9_536,refute_9_537]) ).
cnf(refute_9_539,plain,
( e10 != op1(e12,e11)
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e12,e11)) )],[refute_9_538,refute_9_520]) ).
cnf(refute_9_540,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(canonicalize,[],[normalize_9_82]) ).
cnf(refute_9_541,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_9_83]) ).
cnf(refute_9_542,plain,
( op1(e12,e11) != e13
| op1(e12,e12) != e13
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_9_543,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_139,refute_9_542]) ).
cnf(refute_9_544,plain,
op1(e12,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_9_543,refute_9_541]) ).
cnf(refute_9_545,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_9_540,refute_9_544]) ).
cnf(refute_9_546,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_9_84]) ).
cnf(refute_9_547,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_9_85]) ).
cnf(refute_9_548,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_9_547,refute_9_381]) ).
cnf(refute_9_549,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_9_86]) ).
cnf(refute_9_550,plain,
( op1(e12,e13) != e10
| op1(e13,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_9_551,plain,
( op1(e12,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_200,refute_9_550]) ).
cnf(refute_9_552,plain,
op1(e12,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_9_551,refute_9_549]) ).
cnf(refute_9_553,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_9_548,refute_9_552]) ).
cnf(refute_9_554,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_9_87]) ).
cnf(refute_9_555,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_9_556,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_9_164,refute_9_555]) ).
cnf(refute_9_557,plain,
e11 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_9_556,refute_9_554]) ).
cnf(refute_9_558,plain,
( op1(e12,e13) != e11
| e11 = op1(e12,e13) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e11))]]) ).
cnf(refute_9_559,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_9_558,refute_9_557]) ).
cnf(refute_9_560,plain,
op1(e12,e13) = e12,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_9_553,refute_9_559]) ).
cnf(refute_9_561,plain,
( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_9_562,plain,
( op1(e12,e11) != e12
| op1(e12,e11) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_9_560,refute_9_561]) ).
cnf(refute_9_563,plain,
op1(e12,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_9_562,refute_9_546]) ).
cnf(refute_9_564,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_9_545,refute_9_563]) ).
cnf(refute_9_565,plain,
( e10 != e10
| op1(e12,e11) != e10
| e10 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_9_566,plain,
( e10 != e10
| e10 = op1(e12,e11)
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_9_564,refute_9_565]) ).
cnf(refute_9_567,plain,
( e10 != e10
| op1(e11,e10) = e10
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(e10,op1(e12,e11)) )],[refute_9_566,refute_9_539]) ).
cnf(refute_9_568,plain,
( op1(e11,e10) = e10
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_9_535,refute_9_567]) ).
cnf(refute_9_569,plain,
( op1(e12,e10) != e11
| op1(e12,e11) != e11
| op1(e12,e10) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_9_570,plain,
( op1(e12,e10) != e11
| op1(e11,e10) = e10
| op1(e12,e10) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_9_568,refute_9_569]) ).
cnf(refute_9_571,plain,
( op1(e12,e10) != e11
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e11)) )],[refute_9_570,refute_9_519]) ).
cnf(refute_9_572,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_9_88]) ).
cnf(refute_9_573,plain,
( op1(e13,e10) != e11
| op1(e13,e12) != e11
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_9_574,plain,
( op1(e13,e10) != e11
| op1(e13,e10) = op1(e13,e12)
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_9_204,refute_9_573]) ).
cnf(refute_9_575,plain,
( op1(e13,e10) != e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_9_574,refute_9_572]) ).
cnf(refute_9_576,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(canonicalize,[],[normalize_9_89]) ).
cnf(refute_9_577,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_9_90]) ).
cnf(refute_9_578,plain,
( op1(e10,e10) != e11
| op1(e10,e13) != e11
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_9_579,plain,
( op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_9_164,refute_9_578]) ).
cnf(refute_9_580,plain,
op1(e10,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_9_579,refute_9_577]) ).
cnf(refute_9_581,plain,
( op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_9_576,refute_9_580]) ).
cnf(refute_9_582,plain,
( e11 != e11
| op1(e13,e10) != e11
| op1(e13,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e11) ),[1],$fot(e11)]]) ).
cnf(refute_9_583,plain,
( e11 != e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_9_581,refute_9_582]) ).
cnf(refute_9_584,plain,
( e11 != e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_9_583,refute_9_575]) ).
cnf(refute_9_585,plain,
( op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_9_208,refute_9_584]) ).
cnf(refute_9_586,plain,
( op1(e11,e12) != e12
| op1(e13,e12) != e12
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_9_587,plain,
( op1(e11,e12) != e12
| op1(e11,e12) = op1(e13,e12)
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_9_204,refute_9_586]) ).
cnf(refute_9_588,plain,
( op1(e11,e12) != e12
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_9_587,refute_9_170]) ).
cnf(refute_9_589,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_9_91]) ).
cnf(refute_9_590,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_9_591,plain,
( h4(e12) != e23
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h4(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_9_592,plain,
( h4(e12) != e23
| op2(h4(e11),h4(e12)) = op2(h4(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_9_590,refute_9_591]) ).
cnf(refute_9_593,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_9_77,refute_9_592]) ).
cnf(refute_9_594,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) = op2(h4(e11),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h4(e11),e23)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_9_595,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(h4(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),e23)) )],[refute_9_593,refute_9_594]) ).
cnf(refute_9_596,plain,
h4(op1(e11,e12)) = op2(h4(e11),e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_9_589,refute_9_595]) ).
cnf(refute_9_597,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_9_92]) ).
cnf(refute_9_598,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_9_93]) ).
cnf(refute_9_599,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_9_600,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_139,refute_9_599]) ).
cnf(refute_9_601,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_9_600,refute_9_598]) ).
cnf(refute_9_602,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_9_597,refute_9_601]) ).
cnf(refute_9_603,plain,
( e10 != op1(e11,e12)
| op1(e10,e12) != e10
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_9_604,plain,
( e10 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_9_219,refute_9_603]) ).
cnf(refute_9_605,plain,
e10 != op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_9_604,refute_9_521]) ).
cnf(refute_9_606,plain,
( op1(e11,e12) != e10
| e10 = op1(e11,e12) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(e10))]]) ).
cnf(refute_9_607,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_9_606,refute_9_605]) ).
cnf(refute_9_608,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_9_602,refute_9_607]) ).
cnf(refute_9_609,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| op1(e11,e12) != e11
| h4(e11) = op2(h4(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),e23)) ),[0,0],$fot(e11)]]) ).
cnf(refute_9_610,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| h4(e11) = op2(h4(e11),e23)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_9_608,refute_9_609]) ).
cnf(refute_9_611,plain,
( h4(e11) = op2(h4(e11),e23)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),e23)) )],[refute_9_596,refute_9_610]) ).
cnf(refute_9_612,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| op2(h4(e11),e23) = h4(op1(e11,e12)) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(op2(h4(e11),e23)))]]) ).
cnf(refute_9_613,plain,
op2(h4(e11),e23) = h4(op1(e11,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),e23)) )],[refute_9_596,refute_9_612]) ).
cnf(refute_9_614,plain,
( h4(e11) != op2(h4(e11),e23)
| op2(h4(e11),e23) != h4(op1(e11,e12))
| h4(e11) = h4(op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h4(op1(e11,e12))) ),[0],$fot(op2(h4(e11),e23))]]) ).
cnf(refute_9_615,plain,
( h4(e11) != op2(h4(e11),e23)
| h4(e11) = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e23),h4(op1(e11,e12))) )],[refute_9_613,refute_9_614]) ).
cnf(refute_9_616,plain,
( h4(e11) = h4(op1(e11,e12))
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e11),e23)) )],[refute_9_611,refute_9_615]) ).
cnf(refute_9_617,plain,
( h4(e11) != e21
| h4(e11) != h4(op1(e11,e12))
| e21 = h4(op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h4(op1(e11,e12))) ),[0],$fot(e21)]]) ).
cnf(refute_9_618,plain,
( h4(e11) != h4(op1(e11,e12))
| e21 = h4(op1(e11,e12))
| h4(e11) = e20 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_466,refute_9_617]) ).
cnf(refute_9_619,plain,
( e21 = h4(op1(e11,e12))
| h4(e11) = e20
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),h4(op1(e11,e12))) )],[refute_9_616,refute_9_618]) ).
cnf(refute_9_620,plain,
( h4(e11) != e21
| h4(op1(e11,e12)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_621,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| h4(e11) = e20
| h4(op1(e11,e12)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_466,refute_9_620]) ).
cnf(refute_9_622,plain,
( h4(e11) = e20
| h4(op1(e11,e12)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),e23)) )],[refute_9_596,refute_9_621]) ).
cnf(refute_9_623,plain,
( e21 = e20
| h4(op1(e11,e12)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_9_622,refute_9_483]) ).
cnf(refute_9_624,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| op2(e21,e23) != e23
| h4(op1(e11,e12)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),e23) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_9_625,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| h4(op1(e11,e12)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_9_333,refute_9_624]) ).
cnf(refute_9_626,plain,
( e21 = e20
| h4(op1(e11,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e23)) )],[refute_9_623,refute_9_625]) ).
cnf(refute_9_627,plain,
h4(op1(e11,e12)) = e23,
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_9_626,refute_9_487]) ).
cnf(refute_9_628,plain,
( e21 != h4(op1(e11,e12))
| h4(op1(e11,e12)) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e23) ),[0],$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_9_629,plain,
( e21 != h4(op1(e11,e12))
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e23) )],[refute_9_627,refute_9_628]) ).
cnf(refute_9_630,plain,
( e21 = e23
| h4(e11) = e20
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e11,e12))) )],[refute_9_619,refute_9_629]) ).
cnf(refute_9_631,plain,
( e21 = e20
| e21 = e23
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_9_630,refute_9_483]) ).
cnf(refute_9_632,plain,
( e21 = e23
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_9_631,refute_9_487]) ).
cnf(refute_9_633,plain,
op1(e11,e12) = e12,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_632,refute_9_332]) ).
cnf(refute_9_634,plain,
( e12 != e12
| op1(e11,e12) != e12
| op1(e11,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_9_635,plain,
( e12 != e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_9_633,refute_9_634]) ).
cnf(refute_9_636,plain,
( e12 != e12
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_9_635,refute_9_588]) ).
cnf(refute_9_637,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_9_638,plain,
op1(e13,e12) = e11,
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_9_637,refute_9_636]) ).
cnf(refute_9_639,plain,
( op1(e13,e12) != e11
| op1(e13,e12) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e12) ),[0],$fot(e11)]]) ).
cnf(refute_9_640,plain,
( op1(e13,e12) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_9_638,refute_9_639]) ).
cnf(refute_9_641,plain,
( e11 = e12
| op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_9_585,refute_9_640]) ).
cnf(refute_9_642,plain,
e11 != e12,
inference(canonicalize,[],[normalize_9_94]) ).
cnf(refute_9_643,plain,
( op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_9_641,refute_9_642]) ).
cnf(refute_9_644,plain,
( e11 != e11
| op1(e12,e10) != e11
| op1(e12,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e11) ),[1],$fot(e11)]]) ).
cnf(refute_9_645,plain,
( e11 != e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_9_643,refute_9_644]) ).
cnf(refute_9_646,plain,
( e11 != e11
| op1(e11,e10) = e10
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_9_645,refute_9_571]) ).
cnf(refute_9_647,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_9_208,refute_9_646]) ).
cnf(refute_9_648,plain,
( h4(op1(e11,e10)) != op2(e21,e22)
| op1(e11,e10) != e11
| h4(e11) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e22)) ),[0,0],$fot(e11)]]) ).
cnf(refute_9_649,plain,
( h4(op1(e11,e10)) != op2(e21,e22)
| h4(e11) = op2(e21,e22)
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_9_647,refute_9_648]) ).
cnf(refute_9_650,plain,
( h4(e11) = op2(e21,e22)
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e22)) )],[refute_9_518,refute_9_649]) ).
cnf(refute_9_651,plain,
( h4(e11) != e21
| h4(e11) != op2(e21,e22)
| e21 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e21,e22)) ),[0],$fot(e21)]]) ).
cnf(refute_9_652,plain,
( h4(e11) != op2(e21,e22)
| e21 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_481,refute_9_651]) ).
cnf(refute_9_653,plain,
( e21 = op2(e21,e22)
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e22)) )],[refute_9_650,refute_9_652]) ).
cnf(refute_9_654,plain,
( e21 != op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_9_655,plain,
( op1(e11,e10) = e10
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_9_653,refute_9_654]) ).
cnf(refute_9_656,plain,
( op2(e21,e22) != e21
| op2(e21,e22) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e21)]]) ).
cnf(refute_9_657,plain,
( op2(e21,e22) != e22
| e21 = e22
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_9_655,refute_9_656]) ).
cnf(refute_9_658,plain,
( e21 = e22
| h2(e10) = e23
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_9_500,refute_9_657]) ).
cnf(refute_9_659,plain,
e21 != e22,
inference(canonicalize,[],[normalize_9_95]) ).
cnf(refute_9_660,plain,
( h2(e10) = e23
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_9_658,refute_9_659]) ).
cnf(refute_9_661,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_9_96]) ).
cnf(refute_9_662,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_9_661,refute_9_544]) ).
cnf(refute_9_663,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_9_97]) ).
cnf(refute_9_664,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_9_665,plain,
( op1(e13,e13) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_200,refute_9_664]) ).
cnf(refute_9_666,plain,
( e10 = e12
| op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_9_663,refute_9_665]) ).
cnf(refute_9_667,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_9_666,refute_9_215]) ).
cnf(refute_9_668,plain,
( e11 = e12
| op1(e13,e10) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_9_667,refute_9_640]) ).
cnf(refute_9_669,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_9_668,refute_9_642]) ).
cnf(refute_9_670,plain,
( op1(e13,e11) != e12
| op1(e13,e11) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e12)]]) ).
cnf(refute_9_671,plain,
( op1(e13,e11) != e13
| e12 = e13
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_9_669,refute_9_670]) ).
cnf(refute_9_672,plain,
( e12 = e13
| op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_9_662,refute_9_671]) ).
cnf(refute_9_673,plain,
e12 != e13,
inference(canonicalize,[],[normalize_9_98]) ).
cnf(refute_9_674,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_9_672,refute_9_673]) ).
cnf(refute_9_675,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_9_99]) ).
cnf(refute_9_676,plain,
( op1(e11,e11) != e13
| op1(e11,e13) != e13
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_9_677,plain,
( op1(e11,e11) != e13
| op1(e11,e11) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_9_392,refute_9_676]) ).
cnf(refute_9_678,plain,
op1(e11,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_9_677,refute_9_675]) ).
cnf(refute_9_679,plain,
( op1(e10,e11) = e13
| op1(e13,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_9_674,refute_9_678]) ).
cnf(refute_9_680,plain,
( op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_9_102]) ).
cnf(refute_9_681,plain,
( e10 != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_9_533,refute_9_680]) ).
cnf(refute_9_682,plain,
( op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_9_535,refute_9_681]) ).
cnf(refute_9_683,plain,
( op1(e13,e10) != e12
| op1(e13,e10) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[0],$fot(e13)]]) ).
cnf(refute_9_684,plain,
( op1(e13,e10) != e12
| e13 = e12
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_9_682,refute_9_683]) ).
cnf(refute_9_685,plain,
( e13 = e12
| op1(e10,e11) = e13
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_9_679,refute_9_684]) ).
cnf(refute_9_686,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_9_687,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_9_686,refute_9_673]) ).
cnf(refute_9_688,plain,
( op1(e10,e11) = e13
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_9_685,refute_9_687]) ).
cnf(refute_9_689,plain,
( op1(e11,e10) != e10
| op1(e11,e10) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e10) ),[0],$fot(e11)]]) ).
cnf(refute_9_690,plain,
( op1(e11,e10) != e10
| e11 = e10
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_9_688,refute_9_689]) ).
cnf(refute_9_691,plain,
( e11 = e10
| h2(e10) = e23
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_9_660,refute_9_690]) ).
cnf(refute_9_692,plain,
e10 != e11,
inference(canonicalize,[],[normalize_9_103]) ).
cnf(refute_9_693,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_9_694,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_9_693,refute_9_692]) ).
cnf(refute_9_695,plain,
( h2(e10) = e23
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_9_691,refute_9_694]) ).
cnf(refute_9_696,plain,
( h2(e13) != e22
| ~ definitionFOFtoCNF_57 ),
inference(canonicalize,[],[normalize_9_106]) ).
cnf(refute_9_697,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e10) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_698,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| h2(e10) = op2(e21,h2(e13))
| h2(e13) = e20
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_354,refute_9_697]) ).
cnf(refute_9_699,plain,
( h2(e10) = op2(e21,h2(e13))
| h2(e13) = e20
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),h2(e13))) )],[refute_9_305,refute_9_698]) ).
cnf(refute_9_700,plain,
( h2(e10) != op2(e21,h2(e13))
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_701,plain,
( h2(e10) != op2(e21,h2(e13))
| h2(e10) = op2(e21,e21)
| h2(e13) = e20
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_354,refute_9_700]) ).
cnf(refute_9_702,plain,
( h2(e10) = op2(e21,e21)
| h2(e13) = e20
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e13))) )],[refute_9_699,refute_9_701]) ).
cnf(refute_9_703,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_9_704,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_7,refute_9_703]) ).
cnf(refute_9_705,plain,
( h2(e10) = h2(e13)
| h2(e13) = e20
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_9_702,refute_9_704]) ).
cnf(refute_9_706,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_9_707,plain,
( h2(e13) = e20
| h2(e13) = e22
| h2(e13) = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_9_705,refute_9_706]) ).
cnf(refute_9_708,plain,
( h2(e13) != e21
| h2(e13) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_9_709,plain,
( h2(e13) != e21
| h2(e10) = e21
| h2(e13) = e20
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_9_707,refute_9_708]) ).
cnf(refute_9_710,plain,
( h2(e10) = e21
| h2(e13) = e20
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_354,refute_9_709]) ).
cnf(refute_9_711,plain,
( e20 != h2(e13)
| op2(e21,e20) != e20
| op2(e21,e20) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[1],$fot(h2(e13))]]) ).
cnf(refute_9_712,plain,
( e20 != h2(e13)
| op2(e21,e20) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_9_490,refute_9_711]) ).
cnf(refute_9_713,plain,
e20 != h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e13)) )],[refute_9_712,refute_9_290]) ).
cnf(refute_9_714,plain,
( h2(e13) != e20
| e20 = h2(e13) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(e20))]]) ).
cnf(refute_9_715,plain,
h2(e13) != e20,
inference(resolve,[$cnf( $equal(e20,h2(e13)) )],[refute_9_714,refute_9_713]) ).
cnf(refute_9_716,plain,
( h2(e10) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_9_710,refute_9_715]) ).
cnf(refute_9_717,plain,
( e22 != e22
| h2(e13) != e22
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_9_718,plain,
( e22 != e22
| h2(e10) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_9_716,refute_9_717]) ).
cnf(refute_9_719,plain,
( e22 != e22
| ~ definitionFOFtoCNF_57
| h2(e10) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_9_718,refute_9_696]) ).
cnf(refute_9_720,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_9_721,plain,
( ~ definitionFOFtoCNF_57
| h2(e10) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_9_720,refute_9_719]) ).
cnf(refute_9_722,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_9_107]) ).
cnf(refute_9_723,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_9_108]) ).
cnf(refute_9_724,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_9_725,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_9_726,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_9_724,refute_9_725]) ).
cnf(refute_9_727,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_72,refute_9_726]) ).
cnf(refute_9_728,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_9_729,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),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(e13))]]) ).
cnf(refute_9_730,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_9_728,refute_9_729]) ).
cnf(refute_9_731,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_72,refute_9_730]) ).
cnf(refute_9_732,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_9_733,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_9_731,refute_9_732]) ).
cnf(refute_9_734,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_9_727,refute_9_733]) ).
cnf(refute_9_735,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e10) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_9_736,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| h1(e10) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_9_734,refute_9_735]) ).
cnf(refute_9_737,plain,
h1(e10) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_9_723,refute_9_736]) ).
cnf(refute_9_738,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) = h1(e10) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_9_739,plain,
op2(h1(e13),h1(e13)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_9_737,refute_9_738]) ).
cnf(refute_9_740,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e10)))]]) ).
cnf(refute_9_741,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_9_742,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_9_740,refute_9_741]) ).
cnf(refute_9_743,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_9_124,refute_9_742]) ).
cnf(refute_9_744,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_9_745,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_9_746,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_9_744,refute_9_745]) ).
cnf(refute_9_747,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_9_124,refute_9_746]) ).
cnf(refute_9_748,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h4(e10)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_9_749,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_9_747,refute_9_748]) ).
cnf(refute_9_750,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_9_743,refute_9_749]) ).
cnf(refute_9_751,plain,
( op2(h1(e13),h1(e13)) != h1(e10)
| op2(h4(e10),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = h1(e10) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h1(e13)))),bind(Z,$fot(h1(e10)))]]) ).
cnf(refute_9_752,plain,
( op2(h1(e13),h1(e13)) != h1(e10)
| op2(h4(e10),h4(e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_9_750,refute_9_751]) ).
cnf(refute_9_753,plain,
op2(h4(e10),h4(e10)) = h1(e10),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),h1(e10)) )],[refute_9_739,refute_9_752]) ).
cnf(refute_9_754,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e10)
| h4(op1(e10,e10)) = h1(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e10)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_9_755,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e10)) )],[refute_9_753,refute_9_754]) ).
cnf(refute_9_756,plain,
h4(op1(e10,e10)) = h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_9_722,refute_9_755]) ).
cnf(refute_9_757,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e13) != e22
| h1(e10) = op2(e22,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_9_758,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e10) = op2(e22,h1(e13))
| h1(e13) = e20
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_9_253,refute_9_757]) ).
cnf(refute_9_759,plain,
( h1(e10) = op2(e22,h1(e13))
| h1(e13) = e20
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_9_737,refute_9_758]) ).
cnf(refute_9_760,plain,
( h1(e10) != op2(e22,h1(e13))
| h1(e13) != e22
| h1(e10) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e22,h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_9_761,plain,
( h1(e10) != op2(e22,h1(e13))
| h1(e10) = op2(e22,e22)
| h1(e13) = e20
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_9_253,refute_9_760]) ).
cnf(refute_9_762,plain,
( h1(e10) = op2(e22,e22)
| h1(e13) = e20
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e22,h1(e13))) )],[refute_9_759,refute_9_761]) ).
cnf(refute_9_763,plain,
( h1(e10) != op2(e22,e22)
| op2(e22,e22) != e23
| h1(e10) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_9_764,plain,
( h1(e10) != op2(e22,e22)
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_15,refute_9_763]) ).
cnf(refute_9_765,plain,
( h1(e10) = e23
| h1(e13) = e20
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e22,e22)) )],[refute_9_762,refute_9_764]) ).
cnf(refute_9_766,plain,
( h1(e13) != op2(h1(e13),e23)
| h1(e10) = e23
| h1(e13) = e20
| h1(e13) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_9_765,refute_9_254]) ).
cnf(refute_9_767,plain,
( h1(e10) = e23
| h1(e13) = e20
| h1(e13) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) )],[refute_9_229,refute_9_766]) ).
cnf(refute_9_768,plain,
( h1(e10) = e23
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e23)) )],[refute_9_767,refute_9_258]) ).
cnf(refute_9_769,plain,
( h1(e13) != op2(h1(e13),e23)
| h1(e10) = e23
| h1(e13) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_9_768,refute_9_260]) ).
cnf(refute_9_770,plain,
( h1(e10) = e23
| h1(e13) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) )],[refute_9_229,refute_9_769]) ).
cnf(refute_9_771,plain,
( h1(e10) = e23
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_9_770,refute_9_269]) ).
cnf(refute_9_772,plain,
h1(e10) = e23,
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_9_771,refute_9_252]) ).
cnf(refute_9_773,plain,
( h1(e10) != e23
| h4(op1(e10,e10)) != h1(e10)
| h4(op1(e10,e10)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_9_774,plain,
( h4(op1(e10,e10)) != h1(e10)
| h4(op1(e10,e10)) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_9_772,refute_9_773]) ).
cnf(refute_9_775,plain,
h4(op1(e10,e10)) = e23,
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) )],[refute_9_756,refute_9_774]) ).
cnf(refute_9_776,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_9_109]) ).
cnf(refute_9_777,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_9_110]) ).
cnf(refute_9_778,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_9_777,refute_9_142]) ).
cnf(refute_9_779,plain,
( e11 = e13
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_9_778,refute_9_384]) ).
cnf(refute_9_780,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_9_779,refute_9_391]) ).
cnf(refute_9_781,plain,
( e13 != op1(e13,e11)
| op1(e10,e11) != e13
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(op1(e13,e11))]]) ).
cnf(refute_9_782,plain,
( e13 != op1(e13,e11)
| op1(e10,e10) = e13
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_9_780,refute_9_781]) ).
cnf(refute_9_783,plain,
( e13 != op1(e13,e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_9_782,refute_9_776]) ).
cnf(refute_9_784,plain,
( op1(e11,e10) != e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_9_111]) ).
cnf(refute_9_785,plain,
( op1(e11,e10) != e11
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_9_784,refute_9_563]) ).
cnf(refute_9_786,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_9_112]) ).
cnf(refute_9_787,plain,
h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
inference(canonicalize,[],[normalize_9_113]) ).
cnf(refute_9_788,plain,
op2(e23,h4(e10)) = op2(e23,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e10)))]]) ).
cnf(refute_9_789,plain,
( h4(e10) != h1(e13)
| op2(e23,h4(e10)) != op2(e23,h4(e10))
| op2(e23,h4(e10)) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_9_790,plain,
( h4(e10) != h1(e13)
| op2(e23,h4(e10)) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) )],[refute_9_788,refute_9_789]) ).
cnf(refute_9_791,plain,
op2(e23,h4(e10)) = op2(e23,h1(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_9_124,refute_9_790]) ).
cnf(refute_9_792,plain,
op2(h4(e12),h4(e10)) = op2(h4(e12),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_9_793,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_9_794,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e10)) = op2(e23,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) )],[refute_9_792,refute_9_793]) ).
cnf(refute_9_795,plain,
op2(h4(e12),h4(e10)) = op2(e23,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_9_77,refute_9_794]) ).
cnf(refute_9_796,plain,
( op2(e23,h4(e10)) != op2(e23,h1(e13))
| op2(h4(e12),h4(e10)) != op2(e23,h4(e10))
| op2(h4(e12),h4(e10)) = op2(e23,h1(e13)) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op2(h4(e12),h4(e10)))),bind(Y,$fot(op2(e23,h4(e10)))),bind(Z,$fot(op2(e23,h1(e13))))]]) ).
cnf(refute_9_797,plain,
( op2(e23,h4(e10)) != op2(e23,h1(e13))
| op2(h4(e12),h4(e10)) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e23,h4(e10))) )],[refute_9_795,refute_9_796]) ).
cnf(refute_9_798,plain,
op2(h4(e12),h4(e10)) = op2(e23,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h1(e13))) )],[refute_9_791,refute_9_797]) ).
cnf(refute_9_799,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) != op2(e23,h1(e13))
| h4(op1(e12,e10)) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e23,h1(e13))) ),[0],$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_9_800,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e10)) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e23,h1(e13))) )],[refute_9_798,refute_9_799]) ).
cnf(refute_9_801,plain,
h4(op1(e12,e10)) = op2(e23,h1(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) )],[refute_9_787,refute_9_800]) ).
cnf(refute_9_802,plain,
h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)),
inference(canonicalize,[],[normalize_9_114]) ).
cnf(refute_9_803,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = h1(e10) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(op2(e20,e20),op2(e20,e20))))]]) ).
cnf(refute_9_804,plain,
op2(op2(e20,e20),op2(e20,e20)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_9_723,refute_9_803]) ).
cnf(refute_9_805,plain,
op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)))]]) ).
cnf(refute_9_806,plain,
( op2(op2(e20,e20),op2(e20,e20)) != h1(e10)
| op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)) != op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
| op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)) = op2(h1(e10),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)),op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))) ),[1,0],$fot(h1(e10))]]) ).
cnf(refute_9_807,plain,
( op2(op2(e20,e20),op2(e20,e20)) != h1(e10)
| op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)) = op2(h1(e10),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)),op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))) )],[refute_9_805,refute_9_806]) ).
cnf(refute_9_808,plain,
op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)) = op2(h1(e10),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),h1(e10)) )],[refute_9_804,refute_9_807]) ).
cnf(refute_9_809,plain,
( h1(e11) != op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
| op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)) != op2(h1(e10),op2(e20,e20))
| h1(e11) = op2(h1(e10),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e10),op2(e20,e20))) ),[0],$fot(op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)))]]) ).
cnf(refute_9_810,plain,
( h1(e11) != op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
| h1(e11) = op2(h1(e10),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)),op2(h1(e10),op2(e20,e20))) )],[refute_9_808,refute_9_809]) ).
cnf(refute_9_811,plain,
h1(e11) = op2(h1(e10),op2(e20,e20)),
inference(resolve,[$cnf( $equal(h1(e11),op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))) )],[refute_9_802,refute_9_810]) ).
cnf(refute_9_812,plain,
op2(h1(e10),op2(e20,e20)) = op2(h1(e10),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e10),op2(e20,e20)))]]) ).
cnf(refute_9_813,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e10),op2(e20,e20)) != op2(h1(e10),op2(e20,e20))
| op2(h1(e10),op2(e20,e20)) = op2(h1(e10),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),op2(e20,e20)),op2(h1(e10),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_9_814,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e10),op2(e20,e20)) = op2(h1(e10),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),op2(e20,e20)),op2(h1(e10),op2(e20,e20))) )],[refute_9_812,refute_9_813]) ).
cnf(refute_9_815,plain,
op2(h1(e10),op2(e20,e20)) = op2(h1(e10),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_72,refute_9_814]) ).
cnf(refute_9_816,plain,
( h1(e11) != op2(h1(e10),op2(e20,e20))
| op2(h1(e10),op2(e20,e20)) != op2(h1(e10),h1(e13))
| h1(e11) = op2(h1(e10),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e10),h1(e13))) ),[0],$fot(op2(h1(e10),op2(e20,e20)))]]) ).
cnf(refute_9_817,plain,
( h1(e11) != op2(h1(e10),op2(e20,e20))
| h1(e11) = op2(h1(e10),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),op2(e20,e20)),op2(h1(e10),h1(e13))) )],[refute_9_815,refute_9_816]) ).
cnf(refute_9_818,plain,
h1(e11) = op2(h1(e10),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e10),op2(e20,e20))) )],[refute_9_811,refute_9_817]) ).
cnf(refute_9_819,plain,
( h4(op1(e12,e10)) != op2(e23,h1(e13))
| op2(e23,h1(e13)) = h4(op1(e12,e10)) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h4(op1(e12,e10)))),bind(Y,$fot(op2(e23,h1(e13))))]]) ).
cnf(refute_9_820,plain,
op2(e23,h1(e13)) = h4(op1(e12,e10)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h1(e13))) )],[refute_9_801,refute_9_819]) ).
cnf(refute_9_821,plain,
op2(h1(e10),h1(e13)) = op2(h1(e10),h1(e13)),
introduced(tautology,[refl,[$fot(op2(h1(e10),h1(e13)))]]) ).
cnf(refute_9_822,plain,
( h1(e10) != e23
| op2(h1(e10),h1(e13)) != op2(h1(e10),h1(e13))
| op2(h1(e10),h1(e13)) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),h1(e13)),op2(h1(e10),h1(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_9_823,plain,
( h1(e10) != e23
| op2(h1(e10),h1(e13)) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),h1(e13)),op2(h1(e10),h1(e13))) )],[refute_9_821,refute_9_822]) ).
cnf(refute_9_824,plain,
op2(h1(e10),h1(e13)) = op2(e23,h1(e13)),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_9_772,refute_9_823]) ).
cnf(refute_9_825,plain,
( op2(e23,h1(e13)) != h4(op1(e12,e10))
| op2(h1(e10),h1(e13)) != op2(e23,h1(e13))
| op2(h1(e10),h1(e13)) = h4(op1(e12,e10)) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op2(h1(e10),h1(e13)))),bind(Y,$fot(op2(e23,h1(e13)))),bind(Z,$fot(h4(op1(e12,e10))))]]) ).
cnf(refute_9_826,plain,
( op2(e23,h1(e13)) != h4(op1(e12,e10))
| op2(h1(e10),h1(e13)) = h4(op1(e12,e10)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),h1(e13)),op2(e23,h1(e13))) )],[refute_9_824,refute_9_825]) ).
cnf(refute_9_827,plain,
op2(h1(e10),h1(e13)) = h4(op1(e12,e10)),
inference(resolve,[$cnf( $equal(op2(e23,h1(e13)),h4(op1(e12,e10))) )],[refute_9_820,refute_9_826]) ).
cnf(refute_9_828,plain,
( h1(e11) != op2(h1(e10),h1(e13))
| op2(h1(e10),h1(e13)) != h4(op1(e12,e10))
| h1(e11) = h4(op1(e12,e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h4(op1(e12,e10))) ),[0],$fot(op2(h1(e10),h1(e13)))]]) ).
cnf(refute_9_829,plain,
( h1(e11) != op2(h1(e10),h1(e13))
| h1(e11) = h4(op1(e12,e10)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),h1(e13)),h4(op1(e12,e10))) )],[refute_9_827,refute_9_828]) ).
cnf(refute_9_830,plain,
h1(e11) = h4(op1(e12,e10)),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e10),h1(e13))) )],[refute_9_818,refute_9_829]) ).
cnf(refute_9_831,plain,
( h1(e11) != h4(op1(e12,e10))
| h4(op1(e12,e10)) = h1(e11) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(h4(op1(e12,e10))))]]) ).
cnf(refute_9_832,plain,
h4(op1(e12,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),h4(op1(e12,e10))) )],[refute_9_830,refute_9_831]) ).
cnf(refute_9_833,plain,
( h4(op1(e12,e10)) != h1(e11)
| h4(op1(e12,e10)) != op2(e23,h1(e13))
| h1(e11) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h1(e13))) ),[0],$fot(h1(e11))]]) ).
cnf(refute_9_834,plain,
( h4(op1(e12,e10)) != op2(e23,h1(e13))
| h1(e11) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),h1(e11)) )],[refute_9_832,refute_9_833]) ).
cnf(refute_9_835,plain,
h1(e11) = op2(e23,h1(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h1(e13))) )],[refute_9_801,refute_9_834]) ).
cnf(refute_9_836,plain,
( h1(e11) != op2(e23,h1(e13))
| h1(e13) != e22
| h1(e11) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e23,h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_9_837,plain,
( h1(e11) != op2(e23,h1(e13))
| h1(e11) = op2(e23,e22)
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_9_259,refute_9_836]) ).
cnf(refute_9_838,plain,
( h1(e11) = op2(e23,e22)
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,h1(e13))) )],[refute_9_835,refute_9_837]) ).
cnf(refute_9_839,plain,
( e22 = e20
| h1(e11) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_9_838,refute_9_437]) ).
cnf(refute_9_840,plain,
h1(e11) = op2(e23,e22),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_9_839,refute_9_441]) ).
cnf(refute_9_841,plain,
( h1(e11) != op2(e23,e22)
| op2(e23,e22) = h1(e11) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_9_842,plain,
op2(e23,e22) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,e22)) )],[refute_9_840,refute_9_841]) ).
cnf(refute_9_843,plain,
( op2(e21,e22) != h1(e11)
| op2(e23,e22) != h1(e11)
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_9_844,plain,
( op2(e21,e22) != h1(e11)
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),h1(e11)) )],[refute_9_842,refute_9_843]) ).
cnf(refute_9_845,plain,
op2(e21,e22) != h1(e11),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_9_844,refute_9_786]) ).
cnf(refute_9_846,plain,
h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),
inference(canonicalize,[],[normalize_9_115]) ).
cnf(refute_9_847,plain,
( h2(e10) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = h2(e10) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(op2(e21,e21),op2(e21,e21))))]]) ).
cnf(refute_9_848,plain,
op2(op2(e21,e21),op2(e21,e21)) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),op2(e21,e21))) )],[refute_9_291,refute_9_847]) ).
cnf(refute_9_849,plain,
op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)))]]) ).
cnf(refute_9_850,plain,
( op2(op2(e21,e21),op2(e21,e21)) != h2(e10)
| op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)) != op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
| op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))) ),[1,0],$fot(h2(e10))]]) ).
cnf(refute_9_851,plain,
( op2(op2(e21,e21),op2(e21,e21)) != h2(e10)
| op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))) )],[refute_9_849,refute_9_850]) ).
cnf(refute_9_852,plain,
op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)) = op2(h2(e10),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),h2(e10)) )],[refute_9_848,refute_9_851]) ).
cnf(refute_9_853,plain,
( h2(e11) != op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
| op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)) != op2(h2(e10),op2(e21,e21))
| h2(e11) = op2(h2(e10),op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e10),op2(e21,e21))) ),[0],$fot(op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)))]]) ).
cnf(refute_9_854,plain,
( h2(e11) != op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
| h2(e11) = op2(h2(e10),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),op2(h2(e10),op2(e21,e21))) )],[refute_9_852,refute_9_853]) ).
cnf(refute_9_855,plain,
h2(e11) = op2(h2(e10),op2(e21,e21)),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))) )],[refute_9_846,refute_9_854]) ).
cnf(refute_9_856,plain,
op2(h2(e10),op2(e21,e21)) = op2(h2(e10),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e10),op2(e21,e21)))]]) ).
cnf(refute_9_857,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e10),op2(e21,e21)) != op2(h2(e10),op2(e21,e21))
| op2(h2(e10),op2(e21,e21)) = op2(h2(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e10),op2(e21,e21)),op2(h2(e10),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_9_858,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e10),op2(e21,e21)) = op2(h2(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e10),op2(e21,e21)),op2(h2(e10),op2(e21,e21))) )],[refute_9_856,refute_9_857]) ).
cnf(refute_9_859,plain,
op2(h2(e10),op2(e21,e21)) = op2(h2(e10),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_7,refute_9_858]) ).
cnf(refute_9_860,plain,
( h2(e11) != op2(h2(e10),op2(e21,e21))
| op2(h2(e10),op2(e21,e21)) != op2(h2(e10),h2(e13))
| h2(e11) = op2(h2(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e10),h2(e13))) ),[0],$fot(op2(h2(e10),op2(e21,e21)))]]) ).
cnf(refute_9_861,plain,
( h2(e11) != op2(h2(e10),op2(e21,e21))
| h2(e11) = op2(h2(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e10),op2(e21,e21)),op2(h2(e10),h2(e13))) )],[refute_9_859,refute_9_860]) ).
cnf(refute_9_862,plain,
h2(e11) = op2(h2(e10),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e10),op2(e21,e21))) )],[refute_9_855,refute_9_861]) ).
cnf(refute_9_863,plain,
( h2(e10) = h2(e13)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_9_705,refute_9_715]) ).
cnf(refute_9_864,plain,
( e22 != op2(e21,e22)
| h2(e13) != e22
| h2(e13) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_9_865,plain,
( e22 != op2(e21,e22)
| h2(e10) = h2(e13)
| h2(e13) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_9_863,refute_9_864]) ).
cnf(refute_9_866,plain,
( e22 != op2(e21,e22)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_9_865,refute_9_10]) ).
cnf(refute_9_867,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_9_116]) ).
cnf(refute_9_868,plain,
op1(e12,e10) != op1(e12,e12),
inference(canonicalize,[],[normalize_9_117]) ).
cnf(refute_9_869,plain,
( op1(e12,e10) != e13
| op1(e12,e12) != e13
| op1(e12,e10) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_9_870,plain,
( op1(e12,e10) != e13
| op1(e12,e10) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_139,refute_9_869]) ).
cnf(refute_9_871,plain,
op1(e12,e10) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_9_870,refute_9_868]) ).
cnf(refute_9_872,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_9_867,refute_9_871]) ).
cnf(refute_9_873,plain,
op1(e12,e10) != op1(e12,e13),
inference(canonicalize,[],[normalize_9_118]) ).
cnf(refute_9_874,plain,
( op1(e12,e10) != e12
| op1(e12,e13) != e12
| op1(e12,e10) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_9_875,plain,
( op1(e12,e10) != e12
| op1(e12,e10) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_9_560,refute_9_874]) ).
cnf(refute_9_876,plain,
op1(e12,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e13)) )],[refute_9_875,refute_9_873]) ).
cnf(refute_9_877,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_9_872,refute_9_876]) ).
cnf(refute_9_878,plain,
( h1(e11) != h4(op1(e12,e10))
| op1(e12,e10) != e10
| h1(e11) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),h4(op1(e12,e10))) ),[1,0],$fot(e10)]]) ).
cnf(refute_9_879,plain,
( h1(e11) != h4(op1(e12,e10))
| h1(e11) = h4(e10)
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_9_877,refute_9_878]) ).
cnf(refute_9_880,plain,
( h1(e11) = h4(e10)
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(h1(e11),h4(op1(e12,e10))) )],[refute_9_830,refute_9_879]) ).
cnf(refute_9_881,plain,
( h1(e13) != e22
| h4(e10) != h1(e13)
| h4(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h1(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_9_882,plain,
( h4(e10) != h1(e13)
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_9_271,refute_9_881]) ).
cnf(refute_9_883,plain,
h4(e10) = e22,
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_9_124,refute_9_882]) ).
cnf(refute_9_884,plain,
( h1(e11) != h4(e10)
| h4(e10) != e22
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),e22) ),[0],$fot(h4(e10))]]) ).
cnf(refute_9_885,plain,
( h1(e11) != h4(e10)
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_9_883,refute_9_884]) ).
cnf(refute_9_886,plain,
( h1(e11) = e22
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(h1(e11),h4(e10)) )],[refute_9_880,refute_9_885]) ).
cnf(refute_9_887,plain,
( e11 != op1(e12,e11)
| op1(e12,e10) != e11
| op1(e12,e10) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e11) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_9_888,plain,
( e11 != op1(e12,e11)
| h1(e11) = e22
| op1(e12,e10) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_9_886,refute_9_887]) ).
cnf(refute_9_889,plain,
( e11 != op1(e12,e11)
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e11)) )],[refute_9_888,refute_9_519]) ).
cnf(refute_9_890,plain,
( e11 != e11
| op1(e12,e11) != e11
| e11 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_9_891,plain,
( e11 != e11
| e11 = op1(e12,e11)
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_9_564,refute_9_890]) ).
cnf(refute_9_892,plain,
( e11 != e11
| h1(e11) = e22
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(e11,op1(e12,e11)) )],[refute_9_891,refute_9_889]) ).
cnf(refute_9_893,plain,
( h1(e11) = e22
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_9_208,refute_9_892]) ).
cnf(refute_9_894,plain,
( e10 != e10
| e10 = op1(e12,e11)
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_9_893,refute_9_565]) ).
cnf(refute_9_895,plain,
( e10 != e10
| h1(e11) = e22
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(e10,op1(e12,e11)) )],[refute_9_894,refute_9_539]) ).
cnf(refute_9_896,plain,
( h1(e11) = e22
| op1(e11,e10) = e10 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_9_535,refute_9_895]) ).
cnf(refute_9_897,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e22)
| op1(e11,e10) != e10
| h4(e10) = op2(h4(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),e22)) ),[0,0],$fot(e10)]]) ).
cnf(refute_9_898,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e22)
| h1(e11) = e22
| h4(e10) = op2(h4(e11),e22) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_9_896,refute_9_897]) ).
cnf(refute_9_899,plain,
( h1(e11) = e22
| h4(e10) = op2(h4(e11),e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),e22)) )],[refute_9_513,refute_9_898]) ).
cnf(refute_9_900,plain,
( h4(e10) != e22
| h4(e10) != op2(h4(e11),e22)
| e22 = op2(h4(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(h4(e11),e22)) ),[0],$fot(e22)]]) ).
cnf(refute_9_901,plain,
( h4(e10) != op2(h4(e11),e22)
| e22 = op2(h4(e11),e22) ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_9_883,refute_9_900]) ).
cnf(refute_9_902,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e22)
| op2(h4(e11),e22) = h4(op1(e11,e10)) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h4(op1(e11,e10)))),bind(Y,$fot(op2(h4(e11),e22)))]]) ).
cnf(refute_9_903,plain,
op2(h4(e11),e22) = h4(op1(e11,e10)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),e22)) )],[refute_9_513,refute_9_902]) ).
cnf(refute_9_904,plain,
( e22 != op2(h4(e11),e22)
| op2(h4(e11),e22) != h4(op1(e11,e10))
| e22 = h4(op1(e11,e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h4(op1(e11,e10))) ),[0],$fot(op2(h4(e11),e22))]]) ).
cnf(refute_9_905,plain,
( e22 != op2(h4(e11),e22)
| e22 = h4(op1(e11,e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e22),h4(op1(e11,e10))) )],[refute_9_903,refute_9_904]) ).
cnf(refute_9_906,plain,
( h4(e10) != op2(h4(e11),e22)
| e22 = h4(op1(e11,e10)) ),
inference(resolve,[$cnf( $equal(e22,op2(h4(e11),e22)) )],[refute_9_901,refute_9_905]) ).
cnf(refute_9_907,plain,
( e22 = h4(op1(e11,e10))
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(h4(e11),e22)) )],[refute_9_899,refute_9_906]) ).
cnf(refute_9_908,plain,
( e22 != h4(op1(e11,e10))
| h4(op1(e11,e10)) != op2(e21,e22)
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e22)) ),[0],$fot(h4(op1(e11,e10)))]]) ).
cnf(refute_9_909,plain,
( e22 != h4(op1(e11,e10))
| e22 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e22)) )],[refute_9_518,refute_9_908]) ).
cnf(refute_9_910,plain,
( e22 = op2(e21,e22)
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(e22,h4(op1(e11,e10))) )],[refute_9_907,refute_9_909]) ).
cnf(refute_9_911,plain,
( e22 != op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_9_912,plain,
( h1(e11) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_9_910,refute_9_911]) ).
cnf(refute_9_913,plain,
( e22 != e22
| op2(e21,e22) != e22
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_9_914,plain,
( e22 != e22
| e22 = op2(e21,e22)
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_9_912,refute_9_913]) ).
cnf(refute_9_915,plain,
( e22 != e22
| h1(e11) = e22
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_9_914,refute_9_866]) ).
cnf(refute_9_916,plain,
( h1(e11) = e22
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_9_720,refute_9_915]) ).
cnf(refute_9_917,plain,
( h1(e11) = e22
| h2(e13) = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_9_916,refute_9_706]) ).
cnf(refute_9_918,plain,
( h2(e11) != op2(h2(e10),h2(e13))
| h2(e13) != h2(e10)
| h2(e11) = op2(h2(e10),h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e10),h2(e13))) ),[1,1],$fot(h2(e10))]]) ).
cnf(refute_9_919,plain,
( h2(e11) != op2(h2(e10),h2(e13))
| h1(e11) = e22
| h2(e11) = op2(h2(e10),h2(e10)) ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_9_917,refute_9_918]) ).
cnf(refute_9_920,plain,
( h1(e11) = e22
| h2(e11) = op2(h2(e10),h2(e10)) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e10),h2(e13))) )],[refute_9_862,refute_9_919]) ).
cnf(refute_9_921,plain,
( h2(e13) = e22
| h2(e13) = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_9_863,refute_9_706]) ).
cnf(refute_9_922,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| h2(e13) != h2(e10)
| h2(e10) = op2(h2(e10),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),h2(e13))) ),[1,0],$fot(h2(e10))]]) ).
cnf(refute_9_923,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| h2(e10) = op2(h2(e10),h2(e13))
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_9_921,refute_9_922]) ).
cnf(refute_9_924,plain,
( h2(e10) = op2(h2(e10),h2(e13))
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),h2(e13))) )],[refute_9_305,refute_9_923]) ).
cnf(refute_9_925,plain,
( h2(e11) != op2(h2(e10),h2(e13))
| op2(h2(e10),h2(e13)) = h2(e11) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(h2(e10),h2(e13))))]]) ).
cnf(refute_9_926,plain,
op2(h2(e10),h2(e13)) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e10),h2(e13))) )],[refute_9_862,refute_9_925]) ).
cnf(refute_9_927,plain,
( h2(e10) != op2(h2(e10),h2(e13))
| op2(h2(e10),h2(e13)) != h2(e11)
| h2(e10) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e11)) ),[0],$fot(op2(h2(e10),h2(e13)))]]) ).
cnf(refute_9_928,plain,
( h2(e10) != op2(h2(e10),h2(e13))
| h2(e10) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h2(e10),h2(e13)),h2(e11)) )],[refute_9_926,refute_9_927]) ).
cnf(refute_9_929,plain,
( h2(e10) = h2(e11)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e10),h2(e13))) )],[refute_9_924,refute_9_928]) ).
cnf(refute_9_930,plain,
( e22 != op2(e21,e22)
| h2(e10) = h2(e11)
| h2(e13) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_9_929,refute_9_864]) ).
cnf(refute_9_931,plain,
( e22 != op2(e21,e22)
| h2(e10) = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_9_930,refute_9_10]) ).
cnf(refute_9_932,plain,
( e22 != e22
| h1(e11) = e22
| h2(e10) = h2(e11) ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_9_914,refute_9_931]) ).
cnf(refute_9_933,plain,
( h1(e11) = e22
| h2(e10) = h2(e11) ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_9_720,refute_9_932]) ).
cnf(refute_9_934,plain,
( e22 != op2(e21,e22)
| h2(e10) = e21
| h2(e13) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_9_716,refute_9_864]) ).
cnf(refute_9_935,plain,
( e22 != op2(e21,e22)
| h2(e10) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_9_934,refute_9_10]) ).
cnf(refute_9_936,plain,
( e22 != e22
| h1(e11) = e22
| h2(e10) = e21 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_9_914,refute_9_935]) ).
cnf(refute_9_937,plain,
( h1(e11) = e22
| h2(e10) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_9_720,refute_9_936]) ).
cnf(refute_9_938,plain,
( h2(e10) != e21
| h2(e10) != h2(e11)
| e21 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),h2(e11)) ),[0],$fot(e21)]]) ).
cnf(refute_9_939,plain,
( h2(e10) != h2(e11)
| e21 = h2(e11)
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_9_937,refute_9_938]) ).
cnf(refute_9_940,plain,
( e21 = h2(e11)
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e11)) )],[refute_9_933,refute_9_939]) ).
cnf(refute_9_941,plain,
( e21 != h2(e11)
| h2(e11) = e21 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e21)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_9_942,plain,
( h1(e11) = e22
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(e21,h2(e11)) )],[refute_9_940,refute_9_941]) ).
cnf(refute_9_943,plain,
( h2(e11) != e21
| h2(e11) != op2(h2(e10),h2(e10))
| e21 = op2(h2(e10),h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(h2(e10),h2(e10))) ),[0],$fot(e21)]]) ).
cnf(refute_9_944,plain,
( h2(e11) != op2(h2(e10),h2(e10))
| e21 = op2(h2(e10),h2(e10))
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_9_942,refute_9_943]) ).
cnf(refute_9_945,plain,
( e21 = op2(h2(e10),h2(e10))
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e10),h2(e10))) )],[refute_9_920,refute_9_944]) ).
cnf(refute_9_946,plain,
( e21 != op2(h2(e10),h2(e10))
| h2(e10) != e21
| e21 = op2(e21,h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(h2(e10),h2(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_947,plain,
( e21 != op2(h2(e10),h2(e10))
| e21 = op2(e21,h2(e10))
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_9_937,refute_9_946]) ).
cnf(refute_9_948,plain,
( e21 = op2(e21,h2(e10))
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(e21,op2(h2(e10),h2(e10))) )],[refute_9_945,refute_9_947]) ).
cnf(refute_9_949,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e10) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_950,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| h2(e10) = e23
| h2(e10) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_495,refute_9_949]) ).
cnf(refute_9_951,plain,
( h2(e10) = e23
| h2(e10) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),h2(e13))) )],[refute_9_305,refute_9_950]) ).
cnf(refute_9_952,plain,
( h2(e13) != e21
| h2(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_9_953,plain,
( h2(e13) != e22
| e21 = e22
| h2(e10) = e23
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_363,refute_9_952]) ).
cnf(refute_9_954,plain,
( e21 = e22
| h2(e10) = e23
| h2(e10) = h2(e13)
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_9_705,refute_9_953]) ).
cnf(refute_9_955,plain,
( h2(e10) = e23
| h2(e10) = h2(e13)
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_9_954,refute_9_659]) ).
cnf(refute_9_956,plain,
( h2(e10) = e23
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_9_955,refute_9_715]) ).
cnf(refute_9_957,plain,
( h2(e10) = e23
| h2(e13) = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_9_956,refute_9_706]) ).
cnf(refute_9_958,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e13) != h2(e10)
| h2(e10) = op2(h2(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) ),[1,0],$fot(h2(e10))]]) ).
cnf(refute_9_959,plain,
( h2(e10) != op2(h2(e13),e21)
| h2(e10) = e23
| h2(e10) = op2(h2(e10),e21) ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_9_957,refute_9_958]) ).
cnf(refute_9_960,plain,
( h2(e10) = e23
| h2(e10) = op2(h2(e10),e21) ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_9_951,refute_9_959]) ).
cnf(refute_9_961,plain,
( h2(e10) != h2(e13)
| h2(e13) != e21
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_9_962,plain,
( h2(e10) != h2(e13)
| h2(e10) = e21
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_9_495,refute_9_961]) ).
cnf(refute_9_963,plain,
( h2(e10) = e21
| h2(e10) = e23
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_9_955,refute_9_962]) ).
cnf(refute_9_964,plain,
( h2(e10) = e21
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_9_963,refute_9_715]) ).
cnf(refute_9_965,plain,
( h2(e10) != e21
| h2(e10) != op2(h2(e10),e21)
| e21 = op2(h2(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e10),e21)) ),[0],$fot(e21)]]) ).
cnf(refute_9_966,plain,
( h2(e10) != op2(h2(e10),e21)
| e21 = op2(h2(e10),e21)
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_9_964,refute_9_965]) ).
cnf(refute_9_967,plain,
( e21 = op2(h2(e10),e21)
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e10),e21)) )],[refute_9_960,refute_9_966]) ).
cnf(refute_9_968,plain,
( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_57 ),
inference(canonicalize,[],[normalize_9_119]) ).
cnf(refute_9_969,plain,
h2(e12) = e21,
inference(canonicalize,[],[normalize_9_26]) ).
cnf(refute_9_970,plain,
( h2(e12) != e21
| h2(e12) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e22) ),[0],$fot(e21)]]) ).
cnf(refute_9_971,plain,
( h2(e12) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h2(e12),e21) )],[refute_9_969,refute_9_970]) ).
cnf(refute_9_972,plain,
( e21 = e22
| h2(e10) = e22
| h2(e11) = e22
| h2(e13) = e22
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_9_968,refute_9_971]) ).
cnf(refute_9_973,plain,
( h2(e10) = e22
| h2(e11) = e22
| h2(e13) = e22
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_9_972,refute_9_659]) ).
cnf(refute_9_974,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| h2(e10) = e22
| h2(e10) = op2(e22,h2(e13))
| h2(e11) = e22
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_9_973,refute_9_355]) ).
cnf(refute_9_975,plain,
( h2(e10) = e22
| h2(e10) = op2(e22,h2(e13))
| h2(e11) = e22
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),h2(e13))) )],[refute_9_305,refute_9_974]) ).
cnf(refute_9_976,plain,
( h2(e10) != op2(e22,h2(e13))
| h2(e10) = e22
| h2(e10) = op2(e22,e22)
| h2(e11) = e22
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_9_973,refute_9_358]) ).
cnf(refute_9_977,plain,
( h2(e10) = e22
| h2(e10) = op2(e22,e22)
| h2(e11) = e22
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,h2(e13))) )],[refute_9_975,refute_9_976]) ).
cnf(refute_9_978,plain,
( h2(e10) = e22
| h2(e10) = e23
| h2(e11) = e22
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_9_977,refute_9_362]) ).
cnf(refute_9_979,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| h2(e10) = e23
| h2(e10) = op2(h2(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_9_957,refute_9_922]) ).
cnf(refute_9_980,plain,
( h2(e10) = e23
| h2(e10) = op2(h2(e10),h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),h2(e13))) )],[refute_9_305,refute_9_979]) ).
cnf(refute_9_981,plain,
( h2(e10) = e23
| h2(e10) = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e10),h2(e13))) )],[refute_9_980,refute_9_928]) ).
cnf(refute_9_982,plain,
( h2(e10) != h2(e11)
| h2(e11) = h2(e10) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_9_983,plain,
( h2(e10) = e23
| h2(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e11)) )],[refute_9_981,refute_9_982]) ).
cnf(refute_9_984,plain,
( h2(e11) != e22
| h2(e11) != h2(e10)
| h2(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[0],$fot(h2(e10))]]) ).
cnf(refute_9_985,plain,
( h2(e11) != e22
| h2(e10) = e22
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),h2(e10)) )],[refute_9_983,refute_9_984]) ).
cnf(refute_9_986,plain,
( h2(e10) = e22
| h2(e10) = e23
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_9_978,refute_9_985]) ).
cnf(refute_9_987,plain,
( e21 != op2(h2(e10),e21)
| h2(e10) != e22
| e21 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(h2(e10),e21)) ),[1,0],$fot(e22)]]) ).
cnf(refute_9_988,plain,
( e21 != op2(h2(e10),e21)
| e21 = op2(e22,e21)
| h2(e10) = e23
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_9_986,refute_9_987]) ).
cnf(refute_9_989,plain,
( e21 = op2(e22,e21)
| h2(e10) = e23
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(e21,op2(h2(e10),e21)) )],[refute_9_967,refute_9_988]) ).
cnf(refute_9_990,plain,
op2(e22,e20) != op2(e22,e21),
inference(canonicalize,[],[normalize_9_120]) ).
cnf(refute_9_991,plain,
( h4(e11) != op2(e22,e21)
| op2(e22,e20) != h4(e11)
| op2(e22,e20) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),h4(e11)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_9_992,plain,
( h4(e11) != op2(e22,e21)
| op2(e22,e20) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h4(e11)) )],[refute_9_444,refute_9_991]) ).
cnf(refute_9_993,plain,
h4(e11) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e21)) )],[refute_9_992,refute_9_990]) ).
cnf(refute_9_994,plain,
( e21 != op2(e22,e21)
| h4(e11) != e21
| h4(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_9_995,plain,
( e21 != op2(e22,e21)
| h4(e11) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_481,refute_9_994]) ).
cnf(refute_9_996,plain,
e21 != op2(e22,e21),
inference(resolve,[$cnf( $equal(h4(e11),op2(e22,e21)) )],[refute_9_995,refute_9_993]) ).
cnf(refute_9_997,plain,
( h2(e10) = e23
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_9_989,refute_9_996]) ).
cnf(refute_9_998,plain,
( e21 != op2(e21,h2(e10))
| h2(e10) != e23
| e21 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(e21,h2(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_9_999,plain,
( e21 != op2(e21,h2(e10))
| e21 = op2(e21,e23)
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(h2(e10),e23) )],[refute_9_997,refute_9_998]) ).
cnf(refute_9_1000,plain,
( e21 = op2(e21,e23)
| h1(e11) = e22
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,h2(e10))) )],[refute_9_948,refute_9_999]) ).
cnf(refute_9_1001,plain,
( e21 != op2(e21,e23)
| op2(e21,e23) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e23) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_9_1002,plain,
( e21 != op2(e21,e23)
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_9_333,refute_9_1001]) ).
cnf(refute_9_1003,plain,
( e21 = e23
| h1(e11) = e22
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(e21,op2(e21,e23)) )],[refute_9_1000,refute_9_1002]) ).
cnf(refute_9_1004,plain,
( h1(e11) = e22
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_1003,refute_9_332]) ).
cnf(refute_9_1005,plain,
( h1(e11) != e22
| op2(e21,e22) != e22
| op2(e21,e22) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h1(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_9_1006,plain,
( op2(e21,e22) != e22
| op2(e21,e22) = h1(e11)
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_9_1004,refute_9_1005]) ).
cnf(refute_9_1007,plain,
( op2(e21,e22) != e22
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h1(e11)) )],[refute_9_1006,refute_9_845]) ).
cnf(refute_9_1008,plain,
( h4(op1(e11,e10)) != op2(e21,e22)
| op1(e11,e10) != e10
| h4(e10) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e22)) ),[0,0],$fot(e10)]]) ).
cnf(refute_9_1009,plain,
( h4(op1(e11,e10)) != op2(e21,e22)
| h4(e10) = op2(e21,e22)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_9_647,refute_9_1008]) ).
cnf(refute_9_1010,plain,
( h4(e10) = op2(e21,e22)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e22)) )],[refute_9_518,refute_9_1009]) ).
cnf(refute_9_1011,plain,
( h4(e10) != e22
| h4(e10) != op2(e21,e22)
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e21,e22)) ),[0],$fot(e22)]]) ).
cnf(refute_9_1012,plain,
( h4(e10) != op2(e21,e22)
| e22 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_9_883,refute_9_1011]) ).
cnf(refute_9_1013,plain,
( e22 = op2(e21,e22)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e22)) )],[refute_9_1010,refute_9_1012]) ).
cnf(refute_9_1014,plain,
( op1(e11,e10) = e11
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_9_1013,refute_9_911]) ).
cnf(refute_9_1015,plain,
( e22 != e22
| op2(e21,e22) != e22
| op2(e21,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_9_1016,plain,
( e22 != e22
| op1(e11,e10) = e11
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_9_1014,refute_9_1015]) ).
cnf(refute_9_1017,plain,
( e22 != e22
| op1(e11,e10) = e11
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_9_1016,refute_9_1007]) ).
cnf(refute_9_1018,plain,
( op1(e11,e10) = e11
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_9_720,refute_9_1017]) ).
cnf(refute_9_1019,plain,
( e11 != e11
| op1(e11,e10) != e11
| op1(e11,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_9_1020,plain,
( e11 != e11
| op1(e11,e10) = e11
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_9_1018,refute_9_1019]) ).
cnf(refute_9_1021,plain,
( e11 != e11
| op1(e13,e11) = e13
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_9_1020,refute_9_785]) ).
cnf(refute_9_1022,plain,
( op1(e13,e11) = e13
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_9_208,refute_9_1021]) ).
cnf(refute_9_1023,plain,
( e13 != e13
| op1(e13,e11) != e13
| e13 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_9_1024,plain,
( e13 != e13
| e13 = op1(e13,e11)
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_9_1022,refute_9_1023]) ).
cnf(refute_9_1025,plain,
( e13 != e13
| op1(e10,e10) = e13
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e11)) )],[refute_9_1024,refute_9_783]) ).
cnf(refute_9_1026,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_9_1027,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_9_1026,refute_9_1025]) ).
cnf(refute_9_1028,plain,
( h4(op1(e10,e10)) != e23
| op1(e10,e10) != e13
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),e23) ),[0,0],$fot(e13)]]) ).
cnf(refute_9_1029,plain,
( h4(op1(e10,e10)) != e23
| h4(e13) = e23
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_9_1027,refute_9_1028]) ).
cnf(refute_9_1030,plain,
( h4(e13) = e23
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e23) )],[refute_9_775,refute_9_1029]) ).
cnf(refute_9_1031,plain,
( e20 = e23
| definitionFOFtoCNF_57 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_9_1030,refute_9_328]) ).
cnf(refute_9_1032,plain,
definitionFOFtoCNF_57,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_9_1031,refute_9_330]) ).
cnf(refute_9_1033,plain,
h2(e10) = e21,
inference(resolve,[$cnf( definitionFOFtoCNF_57 )],[refute_9_1032,refute_9_721]) ).
cnf(refute_9_1034,plain,
( h2(e10) != e21
| h2(e10) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),e23) ),[0],$fot(e21)]]) ).
cnf(refute_9_1035,plain,
( h2(e10) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_9_1033,refute_9_1034]) ).
cnf(refute_9_1036,plain,
( e21 = e23
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h2(e10),e23) )],[refute_9_695,refute_9_1035]) ).
cnf(refute_9_1037,plain,
op1(e10,e11) = e13,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_1036,refute_9_332]) ).
cnf(refute_9_1038,plain,
( op1(e10,e11) != e10
| op1(e10,e11) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[0],$fot(e13)]]) ).
cnf(refute_9_1039,plain,
( op1(e10,e11) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_9_1037,refute_9_1038]) ).
cnf(refute_9_1040,plain,
( e13 = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_9_0,refute_9_1039]) ).
cnf(refute_9_1041,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(canonicalize,[],[normalize_9_121]) ).
cnf(refute_9_1042,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(canonicalize,[],[normalize_9_122]) ).
cnf(refute_9_1043,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[0],$fot(e13)]]) ).
cnf(refute_9_1044,plain,
( op1(e12,e12) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_139,refute_9_1043]) ).
cnf(refute_9_1045,plain,
( e13 = e11
| op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_9_1042,refute_9_1044]) ).
cnf(refute_9_1046,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_9_1047,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_9_1046,refute_9_391]) ).
cnf(refute_9_1048,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e13) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_9_1045,refute_9_1047]) ).
cnf(refute_9_1049,plain,
( op1(e12,e13) != e11
| op1(e12,e13) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e11) ),[0],$fot(e12)]]) ).
cnf(refute_9_1050,plain,
( op1(e12,e13) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_9_560,refute_9_1049]) ).
cnf(refute_9_1051,plain,
( e12 = e11
| op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_9_1048,refute_9_1050]) ).
cnf(refute_9_1052,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_9_1053,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_9_1052,refute_9_642]) ).
cnf(refute_9_1054,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_9_1051,refute_9_1053]) ).
cnf(refute_9_1055,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference(canonicalize,[],[normalize_9_123]) ).
cnf(refute_9_1056,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_9_124]) ).
cnf(refute_9_1057,plain,
( op1(e13,e11) != e10
| op1(e13,e13) != e10
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_9_1058,plain,
( op1(e13,e11) != e10
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_200,refute_9_1057]) ).
cnf(refute_9_1059,plain,
op1(e13,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_9_1058,refute_9_1056]) ).
cnf(refute_9_1060,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_9_1055,refute_9_1059]) ).
cnf(refute_9_1061,plain,
( op1(e12,e11) != e10
| op1(e12,e11) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e11) ),[0],$fot(e10)]]) ).
cnf(refute_9_1062,plain,
( op1(e12,e11) != e11
| e10 = e11
| op1(e10,e11) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_9_1060,refute_9_1061]) ).
cnf(refute_9_1063,plain,
( e10 = e11
| op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_9_1054,refute_9_1062]) ).
cnf(refute_9_1064,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_9_1063,refute_9_692]) ).
cnf(refute_9_1065,plain,
( h4(op1(e12,e10)) != op2(e23,h1(e13))
| op1(e12,e10) != e11
| h4(e11) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h1(e13))) ),[0,0],$fot(e11)]]) ).
cnf(refute_9_1066,plain,
( h4(op1(e12,e10)) != op2(e23,h1(e13))
| h4(e11) = op2(e23,h1(e13))
| op1(e10,e11) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_9_1064,refute_9_1065]) ).
cnf(refute_9_1067,plain,
( h4(e11) = op2(e23,h1(e13))
| op1(e10,e11) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h1(e13))) )],[refute_9_801,refute_9_1066]) ).
cnf(refute_9_1068,plain,
( h4(e11) != op2(e23,h1(e13))
| op2(e23,h1(e13)) != h4(op1(e12,e10))
| h4(e11) = h4(op1(e12,e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h4(op1(e12,e10))) ),[0],$fot(op2(e23,h1(e13)))]]) ).
cnf(refute_9_1069,plain,
( h4(e11) != op2(e23,h1(e13))
| h4(e11) = h4(op1(e12,e10)) ),
inference(resolve,[$cnf( $equal(op2(e23,h1(e13)),h4(op1(e12,e10))) )],[refute_9_820,refute_9_1068]) ).
cnf(refute_9_1070,plain,
( h4(e11) = h4(op1(e12,e10))
| op1(e10,e11) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,h1(e13))) )],[refute_9_1067,refute_9_1069]) ).
cnf(refute_9_1071,plain,
( h4(e11) != h4(op1(e12,e10))
| h4(op1(e12,e10)) != h1(e11)
| h4(e11) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h1(e11)) ),[0],$fot(h4(op1(e12,e10)))]]) ).
cnf(refute_9_1072,plain,
( h4(e11) != h4(op1(e12,e10))
| h4(e11) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),h1(e11)) )],[refute_9_832,refute_9_1071]) ).
cnf(refute_9_1073,plain,
( h4(e11) = h1(e11)
| op1(e10,e11) = e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(h4(e11),h4(op1(e12,e10))) )],[refute_9_1070,refute_9_1072]) ).
cnf(refute_9_1074,plain,
op1(e10,e11) != op1(e10,e12),
inference(canonicalize,[],[normalize_9_125]) ).
cnf(refute_9_1075,plain,
( op1(e10,e11) != e10
| op1(e10,e12) != e10
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_9_1076,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_9_219,refute_9_1075]) ).
cnf(refute_9_1077,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_9_1076,refute_9_1074]) ).
cnf(refute_9_1078,plain,
( h4(e11) = h1(e11)
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_9_1073,refute_9_1077]) ).
cnf(refute_9_1079,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| op1(e11,e11) != e10
| h4(e10) = op2(h4(e11),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) ),[0,0],$fot(e10)]]) ).
cnf(refute_9_1080,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(e10) = op2(h4(e11),h4(e11))
| h4(e11) = h1(e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_9_1078,refute_9_1079]) ).
cnf(refute_9_1081,plain,
( h4(e10) = op2(h4(e11),h4(e11))
| h4(e11) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_9_1041,refute_9_1080]) ).
cnf(refute_9_1082,plain,
( h4(e10) != e22
| h4(e10) != op2(h4(e11),h4(e11))
| e22 = op2(h4(e11),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(h4(e11),h4(e11))) ),[0],$fot(e22)]]) ).
cnf(refute_9_1083,plain,
( h4(e10) != op2(h4(e11),h4(e11))
| e22 = op2(h4(e11),h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_9_883,refute_9_1082]) ).
cnf(refute_9_1084,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) = h4(op1(e11,e11)) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h4(op1(e11,e11)))),bind(Y,$fot(op2(h4(e11),h4(e11))))]]) ).
cnf(refute_9_1085,plain,
op2(h4(e11),h4(e11)) = h4(op1(e11,e11)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_9_1041,refute_9_1084]) ).
cnf(refute_9_1086,plain,
( e22 != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| e22 = h4(op1(e11,e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h4(op1(e11,e11))) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_9_1087,plain,
( e22 != op2(h4(e11),h4(e11))
| e22 = h4(op1(e11,e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h4(op1(e11,e11))) )],[refute_9_1085,refute_9_1086]) ).
cnf(refute_9_1088,plain,
( h4(e10) != op2(h4(e11),h4(e11))
| e22 = h4(op1(e11,e11)) ),
inference(resolve,[$cnf( $equal(e22,op2(h4(e11),h4(e11))) )],[refute_9_1083,refute_9_1087]) ).
cnf(refute_9_1089,plain,
( e22 = h4(op1(e11,e11))
| h4(e11) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),op2(h4(e11),h4(e11))) )],[refute_9_1081,refute_9_1088]) ).
cnf(refute_9_1090,plain,
( h4(e11) != e21
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e11)) = op2(e21,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_1091,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(e11) = e20
| h4(op1(e11,e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_466,refute_9_1090]) ).
cnf(refute_9_1092,plain,
( h4(e11) = e20
| h4(op1(e11,e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_9_1041,refute_9_1091]) ).
cnf(refute_9_1093,plain,
( e21 = e20
| h4(op1(e11,e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_9_1092,refute_9_483]) ).
cnf(refute_9_1094,plain,
op2(e21,h4(e11)) = op2(e21,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e11)))]]) ).
cnf(refute_9_1095,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_1096,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) )],[refute_9_1094,refute_9_1095]) ).
cnf(refute_9_1097,plain,
op2(e21,h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_481,refute_9_1096]) ).
cnf(refute_9_1098,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,h4(e11)) != op2(e21,e21)
| op2(e21,h4(e11)) = h2(e13) ),
inference(subst,[],[refute_9_41:[bind(X,$fot(op2(e21,h4(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_9_1099,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,h4(e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,e21)) )],[refute_9_1097,refute_9_1098]) ).
cnf(refute_9_1100,plain,
op2(e21,h4(e11)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_7,refute_9_1099]) ).
cnf(refute_9_1101,plain,
( h4(op1(e11,e11)) != op2(e21,h4(e11))
| op2(e21,h4(e11)) != h2(e13)
| h4(op1(e11,e11)) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e13)) ),[0],$fot(op2(e21,h4(e11)))]]) ).
cnf(refute_9_1102,plain,
( h4(op1(e11,e11)) != op2(e21,h4(e11))
| h4(op1(e11,e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),h2(e13)) )],[refute_9_1100,refute_9_1101]) ).
cnf(refute_9_1103,plain,
( e21 = e20
| h4(op1(e11,e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(e21,h4(e11))) )],[refute_9_1093,refute_9_1102]) ).
cnf(refute_9_1104,plain,
h4(op1(e11,e11)) = h2(e13),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_9_1103,refute_9_487]) ).
cnf(refute_9_1105,plain,
( e22 != h4(op1(e11,e11))
| h4(op1(e11,e11)) != h2(e13)
| e22 = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h2(e13)) ),[0],$fot(h4(op1(e11,e11)))]]) ).
cnf(refute_9_1106,plain,
( e22 != h4(op1(e11,e11))
| e22 = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e13)) )],[refute_9_1104,refute_9_1105]) ).
cnf(refute_9_1107,plain,
( e22 = h2(e13)
| h4(e11) = h1(e11) ),
inference(resolve,[$cnf( $equal(e22,h4(op1(e11,e11))) )],[refute_9_1089,refute_9_1106]) ).
cnf(refute_9_1108,plain,
( h4(e11) != e21
| h4(e11) != h1(e11)
| e21 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h1(e11)) ),[0],$fot(e21)]]) ).
cnf(refute_9_1109,plain,
( h4(e11) != h1(e11)
| e21 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_481,refute_9_1108]) ).
cnf(refute_9_1110,plain,
( e21 = h1(e11)
| e22 = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_9_1107,refute_9_1109]) ).
cnf(refute_9_1111,plain,
( e22 != h2(e13)
| h2(e13) = e22 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e22)),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_9_1112,plain,
( e21 = h1(e11)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e22,h2(e13)) )],[refute_9_1110,refute_9_1111]) ).
cnf(refute_9_1113,plain,
( e22 != e22
| e21 = h1(e11)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_9_1112,refute_9_717]) ).
cnf(refute_9_1114,plain,
( e22 != e22
| ~ definitionFOFtoCNF_57
| e21 = h1(e11) ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_9_1113,refute_9_696]) ).
cnf(refute_9_1115,plain,
( ~ definitionFOFtoCNF_57
| e21 = h1(e11) ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_9_720,refute_9_1114]) ).
cnf(refute_9_1116,plain,
e21 = h1(e11),
inference(resolve,[$cnf( definitionFOFtoCNF_57 )],[refute_9_1032,refute_9_1115]) ).
cnf(refute_9_1117,plain,
( e21 != h1(e11)
| h1(e11) = e21 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e21)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_9_1118,plain,
h1(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h1(e11)) )],[refute_9_1116,refute_9_1117]) ).
cnf(refute_9_1119,plain,
( h1(e11) != e21
| h1(e11) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e22) ),[0],$fot(e21)]]) ).
cnf(refute_9_1120,plain,
( h1(e11) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_9_1118,refute_9_1119]) ).
cnf(refute_9_1121,plain,
( e21 = e22
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_9_893,refute_9_1120]) ).
cnf(refute_9_1122,plain,
op1(e12,e11) = e10,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_9_1121,refute_9_659]) ).
cnf(refute_9_1123,plain,
( op1(e12,e11) != e10
| op1(e12,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_9_1124,plain,
( op1(e12,e11) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_9_1122,refute_9_1123]) ).
cnf(refute_9_1125,plain,
( e10 = e12
| e13 = e10
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_9_1040,refute_9_1124]) ).
cnf(refute_9_1126,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_9_126]) ).
cnf(refute_9_1127,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_9_1126,refute_9_177]) ).
cnf(refute_9_1128,plain,
( e10 = e13
| op1(e13,e10) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_9_1127,refute_9_387]) ).
cnf(refute_9_1129,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_9_1128,refute_9_389]) ).
cnf(refute_9_1130,plain,
( op1(e10,e11) != e13
| op1(e13,e11) != e13
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_9_1131,plain,
( op1(e10,e11) != e13
| op1(e10,e11) = op1(e13,e11)
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_9_1129,refute_9_1130]) ).
cnf(refute_9_1132,plain,
( op1(e10,e11) != e13
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_9_1131,refute_9_776]) ).
cnf(refute_9_1133,plain,
( e13 != e13
| op1(e10,e11) != e13
| op1(e10,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(e13)]]) ).
cnf(refute_9_1134,plain,
( e13 != e13
| h2(e10) = e23
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_9_695,refute_9_1133]) ).
cnf(refute_9_1135,plain,
( e13 != e13
| h2(e10) = e23
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_9_1134,refute_9_1132]) ).
cnf(refute_9_1136,plain,
( h2(e10) = e23
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_9_1026,refute_9_1135]) ).
cnf(refute_9_1137,plain,
( e21 = e23
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(h2(e10),e23) )],[refute_9_1136,refute_9_1035]) ).
cnf(refute_9_1138,plain,
op1(e13,e10) = e13,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_1137,refute_9_332]) ).
cnf(refute_9_1139,plain,
( op1(e13,e10) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_9_1138,refute_9_683]) ).
cnf(refute_9_1140,plain,
( e13 = e12
| op1(e13,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_9_669,refute_9_1139]) ).
cnf(refute_9_1141,plain,
op1(e13,e11) = e12,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_9_1140,refute_9_687]) ).
cnf(refute_9_1142,plain,
( op1(e13,e11) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_9_1141,refute_9_670]) ).
cnf(refute_9_1143,plain,
( e10 = e12
| e12 = e13
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_9_1125,refute_9_1142]) ).
cnf(refute_9_1144,plain,
( e12 = e13
| e13 = e10 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_9_1143,refute_9_215]) ).
cnf(refute_9_1145,plain,
e13 = e10,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_9_1144,refute_9_673]) ).
cnf(refute_9_1146,plain,
$false,
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_9_1145,refute_9_527]) ).
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,
( 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_1,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_10_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_10_1]) ).
fof(normalize_10_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_10_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_10_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_10_5]) ).
fof(normalize_10_7,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_0,normalize_10_2,normalize_10_4,normalize_10_6]) ).
fof(normalize_10_8,plain,
h4(op1(e12,e12)) != op2(h4(e12),h4(e12)),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_9,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_10_10,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_10_9]) ).
fof(normalize_10_11,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_10_12,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_13,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_10_9]) ).
fof(normalize_10_14,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_10_15,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_10_14]) ).
fof(normalize_10_16,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_10_11]) ).
cnf(refute_10_0,plain,
h4(op1(e12,e12)) != op2(h4(e12),h4(e12)),
inference(canonicalize,[],[normalize_10_8]) ).
cnf(refute_10_1,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_10_10]) ).
cnf(refute_10_2,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_10_12]) ).
cnf(refute_10_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_10_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_10_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_10_3,refute_10_4]) ).
cnf(refute_10_6,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_10_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_10_7,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_10_2,refute_10_6]) ).
cnf(refute_10_8,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_10_13]) ).
cnf(refute_10_9,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_10_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_10_10,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_10_8,refute_10_9]) ).
cnf(refute_10_11,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_10_12,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_10_13,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_10_11,refute_10_12]) ).
cnf(refute_10_14,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_10_10,refute_10_13]) ).
cnf(refute_10_15,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_10_16,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_10_17,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_10_15,refute_10_16]) ).
cnf(refute_10_18,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_10_10,refute_10_17]) ).
cnf(refute_10_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_10_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_10_5,refute_10_19]) ).
cnf(refute_10_21,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_10_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_10_22,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_10_18,refute_10_21]) ).
cnf(refute_10_23,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_10_14,refute_10_22]) ).
cnf(refute_10_24,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_10_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_10_25,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_10_23,refute_10_24]) ).
cnf(refute_10_26,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_10_7,refute_10_25]) ).
cnf(refute_10_27,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_10_28,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_10_26,refute_10_27]) ).
cnf(refute_10_29,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_10_1,refute_10_28]) ).
cnf(refute_10_30,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_10_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_10_31,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_10_29,refute_10_30]) ).
cnf(refute_10_32,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_10_15]) ).
cnf(refute_10_33,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_10_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_10_34,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_10_32,refute_10_33]) ).
cnf(refute_10_35,plain,
h4(op1(e12,e12)) = h4(op1(e12,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e12)))]]) ).
cnf(refute_10_36,plain,
( h4(op1(e12,e12)) != h4(op1(e12,e12))
| op1(e12,e12) != e13
| h4(op1(e12,e12)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_10_37,plain,
( op1(e12,e12) != e13
| h4(op1(e12,e12)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) )],[refute_10_35,refute_10_36]) ).
cnf(refute_10_38,plain,
h4(op1(e12,e12)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_10_34,refute_10_37]) ).
cnf(refute_10_39,plain,
( h4(e13) != e20
| h4(op1(e12,e12)) != h4(e13)
| h4(op1(e12,e12)) = e20 ),
inference(subst,[],[refute_10_20:[bind(X,$fot(h4(op1(e12,e12)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_10_40,plain,
( h4(e13) != e20
| h4(op1(e12,e12)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(e13)) )],[refute_10_38,refute_10_39]) ).
cnf(refute_10_41,plain,
h4(op1(e12,e12)) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_10_31,refute_10_40]) ).
cnf(refute_10_42,plain,
( e20 != op2(h4(e12),h4(e12))
| h4(op1(e12,e12)) != e20
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),e20) ),[1],$fot(op2(h4(e12),h4(e12)))]]) ).
cnf(refute_10_43,plain,
( e20 != op2(h4(e12),h4(e12))
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),e20) )],[refute_10_41,refute_10_42]) ).
cnf(refute_10_44,plain,
( h4(e13) != e20
| h4(e13) != op2(e23,e23)
| e20 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e23)) ),[0],$fot(e20)]]) ).
cnf(refute_10_45,plain,
( h4(e13) != op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_10_31,refute_10_44]) ).
cnf(refute_10_46,plain,
e20 = op2(e23,e23),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_10_2,refute_10_45]) ).
cnf(refute_10_47,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_10_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_10_48,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_10_46,refute_10_47]) ).
cnf(refute_10_49,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_10_16]) ).
cnf(refute_10_50,plain,
op2(e23,h4(e12)) = op2(e23,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e12)))]]) ).
cnf(refute_10_51,plain,
( h4(e12) != e23
| op2(e23,h4(e12)) != op2(e23,h4(e12))
| op2(e23,h4(e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_10_52,plain,
( h4(e12) != e23
| op2(e23,h4(e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,h4(e12))) )],[refute_10_50,refute_10_51]) ).
cnf(refute_10_53,plain,
op2(e23,h4(e12)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_10_49,refute_10_52]) ).
cnf(refute_10_54,plain,
op2(h4(e12),h4(e12)) = op2(h4(e12),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e12)))]]) ).
cnf(refute_10_55,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e12)) != op2(h4(e12),h4(e12))
| op2(h4(e12),h4(e12)) = op2(e23,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) ),[1,0],$fot(e23)]]) ).
cnf(refute_10_56,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e12)) = op2(e23,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) )],[refute_10_54,refute_10_55]) ).
cnf(refute_10_57,plain,
op2(h4(e12),h4(e12)) = op2(e23,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_10_49,refute_10_56]) ).
cnf(refute_10_58,plain,
( op2(e23,h4(e12)) != op2(e23,e23)
| op2(h4(e12),h4(e12)) != op2(e23,h4(e12))
| op2(h4(e12),h4(e12)) = op2(e23,e23) ),
inference(subst,[],[refute_10_20:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e23,h4(e12)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_10_59,plain,
( op2(e23,h4(e12)) != op2(e23,e23)
| op2(h4(e12),h4(e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e23,h4(e12))) )],[refute_10_57,refute_10_58]) ).
cnf(refute_10_60,plain,
op2(h4(e12),h4(e12)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,e23)) )],[refute_10_53,refute_10_59]) ).
cnf(refute_10_61,plain,
( op2(e23,e23) != e20
| op2(h4(e12),h4(e12)) != op2(e23,e23)
| op2(h4(e12),h4(e12)) = e20 ),
inference(subst,[],[refute_10_20:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e20))]]) ).
cnf(refute_10_62,plain,
( op2(e23,e23) != e20
| op2(h4(e12),h4(e12)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e23,e23)) )],[refute_10_60,refute_10_61]) ).
cnf(refute_10_63,plain,
op2(h4(e12),h4(e12)) = e20,
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_10_48,refute_10_62]) ).
cnf(refute_10_64,plain,
( e20 != e20
| op2(h4(e12),h4(e12)) != e20
| e20 = op2(h4(e12),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(h4(e12),h4(e12))) ),[1],$fot(e20)]]) ).
cnf(refute_10_65,plain,
( e20 != e20
| e20 = op2(h4(e12),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),e20) )],[refute_10_63,refute_10_64]) ).
cnf(refute_10_66,plain,
( e20 != e20
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
inference(resolve,[$cnf( $equal(e20,op2(h4(e12),h4(e12))) )],[refute_10_65,refute_10_43]) ).
cnf(refute_10_67,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),op2(h4(e12),h4(e12))) )],[refute_10_66,refute_10_0]) ).
cnf(refute_10_68,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_10_69,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_10_68,refute_10_67]) ).
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(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_11_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_11_1]) ).
fof(normalize_11_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_11_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_11_3]) ).
fof(normalize_11_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_11_6,plain,
h3(e12) = 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,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_11_10,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_11,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_11_12,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_13,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_14,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_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_11_16,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_11_15]) ).
fof(normalize_11_17,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_11_15]) ).
fof(normalize_11_18,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_11_1]) ).
fof(normalize_11_19,plain,
h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_20,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_21,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_22,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(conjunct,[],[normalize_11_21]) ).
fof(normalize_11_23,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_11_5]) ).
fof(normalize_11_24,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_25,plain,
( ( ( op2(e20,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) )
& ( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) )
& ( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_11_26,plain,
( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_11_25]) ).
fof(normalize_11_27,plain,
( ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e22,e23) != e22 )
& ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e23,e22) = e23 )
& ( op2(e22,e20) != e22
| op2(e22,e23) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e20) != e22
| op2(e21,e22) = e21
| op2(e23,e22) = e23 )
& ( op2(e22,e21) != e22
| op2(e22,e23) != e22
| op2(e20,e22) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e22) = e20
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e22
| op2(e20,e22) = e20
| op2(e21,e22) = e21 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ) ),
inference(clausify,[],[normalize_11_26]) ).
fof(normalize_11_28,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_11_27]) ).
fof(normalize_11_29,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_11_15]) ).
fof(normalize_11_30,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
inference(conjunct,[],[normalize_11_21]) ).
fof(normalize_11_31,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_11_32,plain,
e20 != e23,
inference(conjunct,[],[normalize_11_31]) ).
fof(normalize_11_33,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_11_15]) ).
fof(normalize_11_34,plain,
e20 != e21,
inference(conjunct,[],[normalize_11_31]) ).
fof(normalize_11_35,plain,
e20 != e22,
inference(conjunct,[],[normalize_11_31]) ).
fof(normalize_11_36,plain,
e21 != e22,
inference(conjunct,[],[normalize_11_31]) ).
fof(normalize_11_37,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_11_21]) ).
fof(normalize_11_38,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_11_15]) ).
fof(normalize_11_39,plain,
e21 != e23,
inference(conjunct,[],[normalize_11_31]) ).
fof(normalize_11_40,plain,
e22 != e23,
inference(conjunct,[],[normalize_11_31]) ).
fof(normalize_11_41,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_11_1]) ).
fof(normalize_11_42,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_11_43,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(conjunct,[],[normalize_11_42]) ).
fof(normalize_11_44,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_11_15]) ).
fof(normalize_11_45,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_11_15]) ).
fof(normalize_11_46,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_11_21]) ).
fof(normalize_11_47,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_48,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_49,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_11_48]) ).
fof(normalize_11_50,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_51,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_11_50]) ).
fof(normalize_11_52,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_11_53,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_11_52]) ).
fof(normalize_11_54,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_11_50]) ).
fof(normalize_11_55,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(conjunct,[],[normalize_11_52]) ).
fof(normalize_11_56,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_11_52]) ).
fof(normalize_11_57,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_11_15]) ).
fof(normalize_11_58,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_11_48]) ).
fof(normalize_11_59,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_11_50]) ).
fof(normalize_11_60,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_11_50]) ).
fof(normalize_11_61,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_11_50]) ).
cnf(refute_11_0,plain,
h4(op1(e12,e13)) != op2(h4(e12),h4(e13)),
inference(canonicalize,[],[normalize_11_8]) ).
cnf(refute_11_1,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_11_10]) ).
cnf(refute_11_2,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_11_12]) ).
cnf(refute_11_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_11_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_11_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_11_3,refute_11_4]) ).
cnf(refute_11_6,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_11_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_11_7,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_11_2,refute_11_6]) ).
cnf(refute_11_8,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_11_13]) ).
cnf(refute_11_9,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_11_10,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_11_8,refute_11_9]) ).
cnf(refute_11_11,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_11_12,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_11_13,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_11_11,refute_11_12]) ).
cnf(refute_11_14,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_10,refute_11_13]) ).
cnf(refute_11_15,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_11_16,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_11_17,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_11_15,refute_11_16]) ).
cnf(refute_11_18,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_10,refute_11_17]) ).
cnf(refute_11_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_11_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_11_5,refute_11_19]) ).
cnf(refute_11_21,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_11_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_11_22,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_11_18,refute_11_21]) ).
cnf(refute_11_23,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_11_14,refute_11_22]) ).
cnf(refute_11_24,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_11_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_11_25,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_11_23,refute_11_24]) ).
cnf(refute_11_26,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_7,refute_11_25]) ).
cnf(refute_11_27,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_11_28,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_11_26,refute_11_27]) ).
cnf(refute_11_29,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_11_1,refute_11_28]) ).
cnf(refute_11_30,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_11_31,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_11_29,refute_11_30]) ).
cnf(refute_11_32,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_11_33,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_11_34,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_11_32,refute_11_33]) ).
cnf(refute_11_35,plain,
op2(e23,h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_11_31,refute_11_34]) ).
cnf(refute_11_36,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_11_14]) ).
cnf(refute_11_37,plain,
op2(h4(e12),h4(e13)) = op2(h4(e12),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_11_38,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_11_39,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) )],[refute_11_37,refute_11_38]) ).
cnf(refute_11_40,plain,
op2(h4(e12),h4(e13)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_11_36,refute_11_39]) ).
cnf(refute_11_41,plain,
( op2(e23,h4(e13)) != op2(e23,e20)
| op2(h4(e12),h4(e13)) != op2(e23,h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,e20) ),
inference(subst,[],[refute_11_20:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e23,h4(e13)))),bind(Z,$fot(op2(e23,e20)))]]) ).
cnf(refute_11_42,plain,
( op2(e23,h4(e13)) != op2(e23,e20)
| op2(h4(e12),h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,h4(e13))) )],[refute_11_40,refute_11_41]) ).
cnf(refute_11_43,plain,
op2(h4(e12),h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e20)) )],[refute_11_35,refute_11_42]) ).
cnf(refute_11_44,plain,
( h4(op1(e12,e13)) != op2(e23,e20)
| op2(h4(e12),h4(e13)) != op2(e23,e20)
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_11_45,plain,
( h4(op1(e12,e13)) != op2(e23,e20)
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,e20)) )],[refute_11_43,refute_11_44]) ).
cnf(refute_11_46,plain,
h4(op1(e12,e13)) != op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) )],[refute_11_45,refute_11_0]) ).
cnf(refute_11_47,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_11_16]) ).
cnf(refute_11_48,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_11_17]) ).
cnf(refute_11_49,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_11_18]) ).
cnf(refute_11_50,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_11_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_11_51,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_11_49,refute_11_50]) ).
cnf(refute_11_52,plain,
( h1(e13) != op2(e20,e21)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_11_53,plain,
( h1(e13) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_51,refute_11_52]) ).
cnf(refute_11_54,plain,
h1(e13) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_11_53,refute_11_48]) ).
cnf(refute_11_55,plain,
h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
inference(canonicalize,[],[normalize_11_19]) ).
cnf(refute_11_56,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_11_20]) ).
cnf(refute_11_57,plain,
( h4(e13) != e20
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_11_20:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_11_58,plain,
( h4(e13) != e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_7,refute_11_57]) ).
cnf(refute_11_59,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_11_31,refute_11_58]) ).
cnf(refute_11_60,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_11_61,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_11_62,plain,
( op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_11_60,refute_11_61]) ).
cnf(refute_11_63,plain,
op2(e20,op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_11_59,refute_11_62]) ).
cnf(refute_11_64,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_11_65,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,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(e20)]]) ).
cnf(refute_11_66,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_11_64,refute_11_65]) ).
cnf(refute_11_67,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_11_59,refute_11_66]) ).
cnf(refute_11_68,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(subst,[],[refute_11_20:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_11_69,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_11_67,refute_11_68]) ).
cnf(refute_11_70,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_11_63,refute_11_69]) ).
cnf(refute_11_71,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(subst,[],[refute_11_20:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_11_72,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_11_70,refute_11_71]) ).
cnf(refute_11_73,plain,
op2(op2(e23,e23),op2(e23,e23)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_51,refute_11_72]) ).
cnf(refute_11_74,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_11_75,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h1(e13)) )],[refute_11_73,refute_11_74]) ).
cnf(refute_11_76,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_11_56,refute_11_75]) ).
cnf(refute_11_77,plain,
op2(e23,h4(e10)) = op2(e23,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e10)))]]) ).
cnf(refute_11_78,plain,
( h4(e10) != h1(e13)
| op2(e23,h4(e10)) != op2(e23,h4(e10))
| op2(e23,h4(e10)) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_11_79,plain,
( h4(e10) != h1(e13)
| op2(e23,h4(e10)) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) )],[refute_11_77,refute_11_78]) ).
cnf(refute_11_80,plain,
op2(e23,h4(e10)) = op2(e23,h1(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_11_76,refute_11_79]) ).
cnf(refute_11_81,plain,
op2(h4(e12),h4(e10)) = op2(h4(e12),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_11_82,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_11_83,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e10)) = op2(e23,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) )],[refute_11_81,refute_11_82]) ).
cnf(refute_11_84,plain,
op2(h4(e12),h4(e10)) = op2(e23,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_11_36,refute_11_83]) ).
cnf(refute_11_85,plain,
( op2(e23,h4(e10)) != op2(e23,h1(e13))
| op2(h4(e12),h4(e10)) != op2(e23,h4(e10))
| op2(h4(e12),h4(e10)) = op2(e23,h1(e13)) ),
inference(subst,[],[refute_11_20:[bind(X,$fot(op2(h4(e12),h4(e10)))),bind(Y,$fot(op2(e23,h4(e10)))),bind(Z,$fot(op2(e23,h1(e13))))]]) ).
cnf(refute_11_86,plain,
( op2(e23,h4(e10)) != op2(e23,h1(e13))
| op2(h4(e12),h4(e10)) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e23,h4(e10))) )],[refute_11_84,refute_11_85]) ).
cnf(refute_11_87,plain,
op2(h4(e12),h4(e10)) = op2(e23,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h1(e13))) )],[refute_11_80,refute_11_86]) ).
cnf(refute_11_88,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) != op2(e23,h1(e13))
| h4(op1(e12,e10)) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e23,h1(e13))) ),[0],$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_11_89,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e10)) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e23,h1(e13))) )],[refute_11_87,refute_11_88]) ).
cnf(refute_11_90,plain,
h4(op1(e12,e10)) = op2(e23,h1(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) )],[refute_11_55,refute_11_89]) ).
cnf(refute_11_91,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(canonicalize,[],[normalize_11_22]) ).
cnf(refute_11_92,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_11_93,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_51,refute_11_92]) ).
cnf(refute_11_94,plain,
( h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_11_91,refute_11_93]) ).
cnf(refute_11_95,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_11_23]) ).
cnf(refute_11_96,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_11_97,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_11_98,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_11_96,refute_11_97]) ).
cnf(refute_11_99,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_10,refute_11_98]) ).
cnf(refute_11_100,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = e20 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_11_101,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_11_1,refute_11_100]) ).
cnf(refute_11_102,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_11_103,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) ),[1,0],$fot(e20)]]) ).
cnf(refute_11_104,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_11_102,refute_11_103]) ).
cnf(refute_11_105,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e20) )],[refute_11_101,refute_11_104]) ).
cnf(refute_11_106,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(subst,[],[refute_11_20:[bind(X,$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))),bind(Y,$fot(op2(e20,op2(e22,e22)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_11_107,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_11_105,refute_11_106]) ).
cnf(refute_11_108,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_11_99,refute_11_107]) ).
cnf(refute_11_109,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,e23)
| h3(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e20,e23)) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_11_110,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| h3(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,e23)) )],[refute_11_108,refute_11_109]) ).
cnf(refute_11_111,plain,
h3(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_11_95,refute_11_110]) ).
cnf(refute_11_112,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_11_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_11_113,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_11_111,refute_11_112]) ).
cnf(refute_11_114,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_11_115,plain,
( op2(e20,e23) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_11_113,refute_11_114]) ).
cnf(refute_11_116,plain,
( h1(e13) = e22
| h3(e11) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_11_94,refute_11_115]) ).
cnf(refute_11_117,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_11_24]) ).
cnf(refute_11_118,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,op2(e22,e22))) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_11_119,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_11_105,refute_11_118]) ).
cnf(refute_11_120,plain,
e21 = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(e21,op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_11_117,refute_11_119]) ).
cnf(refute_11_121,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(subst,[],[refute_11_20:[bind(X,$fot(op2(e20,op2(e22,e22)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_11_122,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_11_99,refute_11_121]) ).
cnf(refute_11_123,plain,
op2(e20,op2(e22,e22)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_11_113,refute_11_122]) ).
cnf(refute_11_124,plain,
( e21 != op2(e20,op2(e22,e22))
| op2(e20,op2(e22,e22)) != h3(e11)
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[0],$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_11_125,plain,
( e21 != op2(e20,op2(e22,e22))
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),h3(e11)) )],[refute_11_123,refute_11_124]) ).
cnf(refute_11_126,plain,
e21 = h3(e11),
inference(resolve,[$cnf( $equal(e21,op2(e20,op2(e22,e22))) )],[refute_11_120,refute_11_125]) ).
cnf(refute_11_127,plain,
( e21 != h3(e11)
| h3(e11) = e21 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e21)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_11_128,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_11_126,refute_11_127]) ).
cnf(refute_11_129,plain,
( h3(e11) != e21
| h3(e11) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[0],$fot(e21)]]) ).
cnf(refute_11_130,plain,
( h3(e11) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_11_128,refute_11_129]) ).
cnf(refute_11_131,plain,
( e21 = e22
| h1(e13) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_11_116,refute_11_130]) ).
cnf(refute_11_132,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_11_28]) ).
cnf(refute_11_133,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_11_29]) ).
cnf(refute_11_134,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_11_135,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_10,refute_11_134]) ).
cnf(refute_11_136,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_11_135,refute_11_133]) ).
cnf(refute_11_137,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_11_5:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_11_138,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_11_137,refute_11_136]) ).
cnf(refute_11_139,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_11_132,refute_11_138]) ).
cnf(refute_11_140,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
inference(canonicalize,[],[normalize_11_30]) ).
cnf(refute_11_141,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).
cnf(refute_11_142,plain,
( op2(e22,e22) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_10,refute_11_141]) ).
cnf(refute_11_143,plain,
( e23 = e20
| op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_11_140,refute_11_142]) ).
cnf(refute_11_144,plain,
e20 != e23,
inference(canonicalize,[],[normalize_11_32]) ).
cnf(refute_11_145,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_11_146,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_11_145,refute_11_144]) ).
cnf(refute_11_147,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_11_143,refute_11_146]) ).
cnf(refute_11_148,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_11_33]) ).
cnf(refute_11_149,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_11_150,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_7,refute_11_149]) ).
cnf(refute_11_151,plain,
op2(e23,e22) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_11_150,refute_11_148]) ).
cnf(refute_11_152,plain,
( h4(e13) != e20
| op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_11_153,plain,
( op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_11_31,refute_11_152]) ).
cnf(refute_11_154,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),h4(e13)) )],[refute_11_153,refute_11_151]) ).
cnf(refute_11_155,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_11_147,refute_11_154]) ).
cnf(refute_11_156,plain,
( op2(e21,e22) != e20
| op2(e21,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0],$fot(e20)]]) ).
cnf(refute_11_157,plain,
( op2(e21,e22) != e21
| e20 = e21
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_11_155,refute_11_156]) ).
cnf(refute_11_158,plain,
( e20 = e21
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_11_139,refute_11_157]) ).
cnf(refute_11_159,plain,
e20 != e21,
inference(canonicalize,[],[normalize_11_34]) ).
cnf(refute_11_160,plain,
op2(e20,e22) = e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_11_158,refute_11_159]) ).
cnf(refute_11_161,plain,
( op2(e20,e22) != e20
| op2(e20,e22) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0],$fot(e20)]]) ).
cnf(refute_11_162,plain,
( op2(e20,e22) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_11_160,refute_11_161]) ).
cnf(refute_11_163,plain,
( e20 = e22
| e21 = e22
| h1(e13) = e22
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_11_131,refute_11_162]) ).
cnf(refute_11_164,plain,
e20 != e22,
inference(canonicalize,[],[normalize_11_35]) ).
cnf(refute_11_165,plain,
( e21 = e22
| h1(e13) = e22
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_11_163,refute_11_164]) ).
cnf(refute_11_166,plain,
e21 != e22,
inference(canonicalize,[],[normalize_11_36]) ).
cnf(refute_11_167,plain,
( h1(e13) = e22
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_11_165,refute_11_166]) ).
cnf(refute_11_168,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_11_37]) ).
cnf(refute_11_169,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_11_170,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_51,refute_11_169]) ).
cnf(refute_11_171,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_11_168,refute_11_170]) ).
cnf(refute_11_172,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_11_173,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_11_113,refute_11_172]) ).
cnf(refute_11_174,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_11_171,refute_11_173]) ).
cnf(refute_11_175,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_11_38]) ).
cnf(refute_11_176,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_11_177,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_10,refute_11_176]) ).
cnf(refute_11_178,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_11_177,refute_11_175]) ).
cnf(refute_11_179,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_11_174,refute_11_178]) ).
cnf(refute_11_180,plain,
( h3(e11) != e21
| h3(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_11_181,plain,
( h3(e11) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_11_128,refute_11_180]) ).
cnf(refute_11_182,plain,
( e21 = e23
| h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_11_179,refute_11_181]) ).
cnf(refute_11_183,plain,
e21 != e23,
inference(canonicalize,[],[normalize_11_39]) ).
cnf(refute_11_184,plain,
( h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_11_182,refute_11_183]) ).
cnf(refute_11_185,plain,
( op2(e20,e21) != e22
| op2(e20,e21) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[0],$fot(e23)]]) ).
cnf(refute_11_186,plain,
( op2(e20,e21) != e22
| e23 = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_11_184,refute_11_185]) ).
cnf(refute_11_187,plain,
( e23 = e22
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_11_167,refute_11_186]) ).
cnf(refute_11_188,plain,
e22 != e23,
inference(canonicalize,[],[normalize_11_40]) ).
cnf(refute_11_189,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_11_190,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_11_189,refute_11_188]) ).
cnf(refute_11_191,plain,
( h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_11_187,refute_11_190]) ).
cnf(refute_11_192,plain,
( h1(e13) != e23
| h4(op1(e12,e10)) != op2(e23,h1(e13))
| h4(op1(e12,e10)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h1(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_11_193,plain,
( h4(op1(e12,e10)) != op2(e23,h1(e13))
| h1(e13) = e22
| h4(op1(e12,e10)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_11_191,refute_11_192]) ).
cnf(refute_11_194,plain,
( h1(e13) = e22
| h4(op1(e12,e10)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h1(e13))) )],[refute_11_90,refute_11_193]) ).
cnf(refute_11_195,plain,
( h4(op1(e12,e10)) != op2(e23,e23)
| op2(e23,e23) != e20
| h4(op1(e12,e10)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),e20) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_11_196,plain,
( h4(op1(e12,e10)) != op2(e23,e23)
| h4(op1(e12,e10)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_11_59,refute_11_195]) ).
cnf(refute_11_197,plain,
( h1(e13) = e22
| h4(op1(e12,e10)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,e23)) )],[refute_11_194,refute_11_196]) ).
cnf(refute_11_198,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_11_41]) ).
cnf(refute_11_199,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_11_200,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_11_201,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_11_199,refute_11_200]) ).
cnf(refute_11_202,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_51,refute_11_201]) ).
cnf(refute_11_203,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_11_204,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),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(e13))]]) ).
cnf(refute_11_205,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_11_203,refute_11_204]) ).
cnf(refute_11_206,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_51,refute_11_205]) ).
cnf(refute_11_207,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_11_20:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_11_208,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_11_206,refute_11_207]) ).
cnf(refute_11_209,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_11_202,refute_11_208]) ).
cnf(refute_11_210,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e10) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_11_211,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| h1(e10) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_11_209,refute_11_210]) ).
cnf(refute_11_212,plain,
h1(e10) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_11_198,refute_11_211]) ).
cnf(refute_11_213,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e13) != e23
| h1(e10) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_11_214,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e10) = op2(e23,h1(e13))
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_11_191,refute_11_213]) ).
cnf(refute_11_215,plain,
( h1(e10) = op2(e23,h1(e13))
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_11_212,refute_11_214]) ).
cnf(refute_11_216,plain,
( h4(op1(e12,e10)) != op2(e23,h1(e13))
| op2(e23,h1(e13)) = h4(op1(e12,e10)) ),
inference(subst,[],[refute_11_5:[bind(X,$fot(h4(op1(e12,e10)))),bind(Y,$fot(op2(e23,h1(e13))))]]) ).
cnf(refute_11_217,plain,
op2(e23,h1(e13)) = h4(op1(e12,e10)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h1(e13))) )],[refute_11_90,refute_11_216]) ).
cnf(refute_11_218,plain,
( h1(e10) != op2(e23,h1(e13))
| op2(e23,h1(e13)) != h4(op1(e12,e10))
| h1(e10) = h4(op1(e12,e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h4(op1(e12,e10))) ),[0],$fot(op2(e23,h1(e13)))]]) ).
cnf(refute_11_219,plain,
( h1(e10) != op2(e23,h1(e13))
| h1(e10) = h4(op1(e12,e10)) ),
inference(resolve,[$cnf( $equal(op2(e23,h1(e13)),h4(op1(e12,e10))) )],[refute_11_217,refute_11_218]) ).
cnf(refute_11_220,plain,
( h1(e10) = h4(op1(e12,e10))
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,h1(e13))) )],[refute_11_215,refute_11_219]) ).
cnf(refute_11_221,plain,
( h1(e10) != h4(op1(e12,e10))
| h4(op1(e12,e10)) = h1(e10) ),
inference(subst,[],[refute_11_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(h4(op1(e12,e10))))]]) ).
cnf(refute_11_222,plain,
( h1(e13) = e22
| h4(op1(e12,e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),h4(op1(e12,e10))) )],[refute_11_220,refute_11_221]) ).
cnf(refute_11_223,plain,
( h4(op1(e12,e10)) != e20
| h4(op1(e12,e10)) != h1(e10)
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_11_224,plain,
( h4(op1(e12,e10)) != e20
| h1(e10) = e20
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),h1(e10)) )],[refute_11_222,refute_11_223]) ).
cnf(refute_11_225,plain,
( h1(e10) = e20
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),e20) )],[refute_11_197,refute_11_224]) ).
cnf(refute_11_226,plain,
( e22 != op2(e20,e21)
| h1(e13) != e22
| h1(e13) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_11_227,plain,
( e22 != op2(e20,e21)
| h1(e10) = e20
| h1(e13) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_11_225,refute_11_226]) ).
cnf(refute_11_228,plain,
( e22 != op2(e20,e21)
| h1(e10) = e20 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e21)) )],[refute_11_227,refute_11_54]) ).
cnf(refute_11_229,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(canonicalize,[],[normalize_11_43]) ).
cnf(refute_11_230,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_11_44]) ).
cnf(refute_11_231,plain,
( op2(e20,e21) != e20
| op2(e20,e22) != e20
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_11_232,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_11_160,refute_11_231]) ).
cnf(refute_11_233,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_11_232,refute_11_230]) ).
cnf(refute_11_234,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_11_229,refute_11_233]) ).
cnf(refute_11_235,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_11_45]) ).
cnf(refute_11_236,plain,
( op2(e20,e21) != h3(e11)
| op2(e20,e23) != h3(e11)
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_11_237,plain,
( op2(e20,e21) != h3(e11)
| op2(e20,e21) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_11_113,refute_11_236]) ).
cnf(refute_11_238,plain,
op2(e20,e21) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_11_237,refute_11_235]) ).
cnf(refute_11_239,plain,
( h3(e11) != e21
| op2(e20,e21) != e21
| op2(e20,e21) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_11_240,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_11_128,refute_11_239]) ).
cnf(refute_11_241,plain,
op2(e20,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e21),h3(e11)) )],[refute_11_240,refute_11_238]) ).
cnf(refute_11_242,plain,
( op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_11_234,refute_11_241]) ).
cnf(refute_11_243,plain,
( e22 != e22
| op2(e20,e21) != e22
| e22 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_11_244,plain,
( e22 != e22
| e22 = op2(e20,e21)
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_11_242,refute_11_243]) ).
cnf(refute_11_245,plain,
( e22 != e22
| h1(e10) = e20
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_11_244,refute_11_228]) ).
cnf(refute_11_246,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_11_247,plain,
( h1(e10) = e20
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_11_246,refute_11_245]) ).
cnf(refute_11_248,plain,
( e23 != op2(e23,e21)
| op2(e20,e21) != e23
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_11_249,plain,
( e23 != op2(e23,e21)
| h1(e10) = e20
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_11_247,refute_11_248]) ).
cnf(refute_11_250,plain,
( e23 != op2(e23,e21)
| h1(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_11_249,refute_11_47]) ).
cnf(refute_11_251,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_11_46]) ).
cnf(refute_11_252,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_11_253,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_7,refute_11_252]) ).
cnf(refute_11_254,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_11_251,refute_11_253]) ).
cnf(refute_11_255,plain,
( h4(e13) = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_11_254,refute_11_138]) ).
cnf(refute_11_256,plain,
( h4(e13) != e20
| h4(e13) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e20)]]) ).
cnf(refute_11_257,plain,
( h4(e13) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_11_31,refute_11_256]) ).
cnf(refute_11_258,plain,
( e20 = e23
| op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_255,refute_11_257]) ).
cnf(refute_11_259,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_11_258,refute_11_144]) ).
cnf(refute_11_260,plain,
( e23 != e23
| op2(e23,e21) != e23
| e23 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_11_261,plain,
( e23 != e23
| e23 = op2(e23,e21)
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_11_259,refute_11_260]) ).
cnf(refute_11_262,plain,
( e23 != e23
| h1(e10) = e20
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_11_261,refute_11_250]) ).
cnf(refute_11_263,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_11_264,plain,
( h1(e10) = e20
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_263,refute_11_262]) ).
cnf(refute_11_265,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_11_47]) ).
cnf(refute_11_266,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e12)))]]) ).
cnf(refute_11_267,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_11_268,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_11_266,refute_11_267]) ).
cnf(refute_11_269,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_11_36,refute_11_268]) ).
cnf(refute_11_270,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_11_271,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_11_272,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_11_270,refute_11_271]) ).
cnf(refute_11_273,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_11_76,refute_11_272]) ).
cnf(refute_11_274,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(subst,[],[refute_11_20:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),h4(e12)))),bind(Z,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_11_275,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_11_273,refute_11_274]) ).
cnf(refute_11_276,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),e23)) )],[refute_11_269,refute_11_275]) ).
cnf(refute_11_277,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h1(e13),e23)
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_11_278,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),e23)) )],[refute_11_276,refute_11_277]) ).
cnf(refute_11_279,plain,
h4(op1(e10,e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_11_265,refute_11_278]) ).
cnf(refute_11_280,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e13) != e22
| h1(e10) = op2(e22,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_11_281,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e10) = op2(e22,h1(e13))
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_11_191,refute_11_280]) ).
cnf(refute_11_282,plain,
( h1(e10) = op2(e22,h1(e13))
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_11_212,refute_11_281]) ).
cnf(refute_11_283,plain,
( h1(e10) != op2(e22,h1(e13))
| h1(e13) != e22
| h1(e10) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e22,h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_11_284,plain,
( h1(e10) != op2(e22,h1(e13))
| h1(e10) = op2(e22,e22)
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_11_191,refute_11_283]) ).
cnf(refute_11_285,plain,
( h1(e10) = op2(e22,e22)
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e22,h1(e13))) )],[refute_11_282,refute_11_284]) ).
cnf(refute_11_286,plain,
( h1(e10) != op2(e22,e22)
| op2(e22,e22) != e23
| h1(e10) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_11_287,plain,
( h1(e10) != op2(e22,e22)
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_10,refute_11_286]) ).
cnf(refute_11_288,plain,
( h1(e10) = e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e22,e22)) )],[refute_11_285,refute_11_287]) ).
cnf(refute_11_289,plain,
( h1(e13) != e23
| h4(op1(e10,e12)) != op2(h1(e13),e23)
| h4(op1(e10,e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_11_290,plain,
( h4(op1(e10,e12)) != op2(h1(e13),e23)
| h1(e10) = e23
| h4(op1(e10,e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_11_288,refute_11_289]) ).
cnf(refute_11_291,plain,
( h1(e10) = e23
| h4(op1(e10,e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) )],[refute_11_279,refute_11_290]) ).
cnf(refute_11_292,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| op2(e23,e23) != e20
| h4(op1(e10,e12)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e20) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_11_293,plain,
( h4(op1(e10,e12)) != op2(e23,e23)
| h4(op1(e10,e12)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_11_59,refute_11_292]) ).
cnf(refute_11_294,plain,
( h1(e10) = e23
| h4(op1(e10,e12)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e23,e23)) )],[refute_11_291,refute_11_293]) ).
cnf(refute_11_295,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_11_49]) ).
cnf(refute_11_296,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_11_51]) ).
cnf(refute_11_297,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_11_53]) ).
cnf(refute_11_298,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_11_299,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_11_297,refute_11_298]) ).
cnf(refute_11_300,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_11_301,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_299,refute_11_300]) ).
cnf(refute_11_302,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_11_301,refute_11_296]) ).
cnf(refute_11_303,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_11_295,refute_11_302]) ).
cnf(refute_11_304,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_11_54]) ).
cnf(refute_11_305,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(canonicalize,[],[normalize_11_55]) ).
cnf(refute_11_306,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_11_56]) ).
cnf(refute_11_307,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = e10 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e12,e12),op1(e12,e12))))]]) ).
cnf(refute_11_308,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_11_306,refute_11_307]) ).
cnf(refute_11_309,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_11_310,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_11_311,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_11_309,refute_11_310]) ).
cnf(refute_11_312,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e10) )],[refute_11_308,refute_11_311]) ).
cnf(refute_11_313,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(e10,op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,op1(e12,e12))) ),[0],$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_11_314,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_11_312,refute_11_313]) ).
cnf(refute_11_315,plain,
e11 = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(e11,op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_11_305,refute_11_314]) ).
cnf(refute_11_316,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_11_317,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_11_318,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_11_316,refute_11_317]) ).
cnf(refute_11_319,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_299,refute_11_318]) ).
cnf(refute_11_320,plain,
( e11 != op1(e10,op1(e12,e12))
| op1(e10,op1(e12,e12)) != op1(e10,e13)
| e11 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e13)) ),[0],$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_11_321,plain,
( e11 != op1(e10,op1(e12,e12))
| e11 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_11_319,refute_11_320]) ).
cnf(refute_11_322,plain,
e11 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e11,op1(e10,op1(e12,e12))) )],[refute_11_315,refute_11_321]) ).
cnf(refute_11_323,plain,
( e11 != op1(e10,e13)
| op1(e10,e13) = e11 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_11_324,plain,
op1(e10,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_11_322,refute_11_323]) ).
cnf(refute_11_325,plain,
( op1(e10,e12) != e11
| op1(e10,e13) != e11
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_11_326,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_11_324,refute_11_325]) ).
cnf(refute_11_327,plain,
op1(e10,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_11_326,refute_11_304]) ).
cnf(refute_11_328,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_11_303,refute_11_327]) ).
cnf(refute_11_329,plain,
( h4(op1(e10,e12)) != e20
| op1(e10,e12) != e10
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e20) ),[0,0],$fot(e10)]]) ).
cnf(refute_11_330,plain,
( h4(op1(e10,e12)) != e20
| h4(e10) = e20
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_11_328,refute_11_329]) ).
cnf(refute_11_331,plain,
( h1(e10) = e23
| h4(e10) = e20
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e20) )],[refute_11_294,refute_11_330]) ).
cnf(refute_11_332,plain,
( h4(e10) != e20
| h4(e10) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_11_333,plain,
( h4(e10) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_11_76,refute_11_332]) ).
cnf(refute_11_334,plain,
( h1(e10) = e23
| h1(e13) = e20
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_11_331,refute_11_333]) ).
cnf(refute_11_335,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_11_57]) ).
cnf(refute_11_336,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_11_337,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_51,refute_11_336]) ).
cnf(refute_11_338,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_11_337,refute_11_335]) ).
cnf(refute_11_339,plain,
( h1(e13) != e20
| op2(e20,e22) != e20
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_11_340,plain,
( h1(e13) != e20
| h1(e13) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_11_160,refute_11_339]) ).
cnf(refute_11_341,plain,
h1(e13) != e20,
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_11_340,refute_11_338]) ).
cnf(refute_11_342,plain,
( h1(e10) = e23
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_11_334,refute_11_341]) ).
cnf(refute_11_343,plain,
( h4(op1(e10,e12)) != e20
| op1(e10,e12) != e12
| h4(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e20) ),[0,0],$fot(e12)]]) ).
cnf(refute_11_344,plain,
( h4(op1(e10,e12)) != e20
| h1(e10) = e23
| h4(e12) = e20 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_11_342,refute_11_343]) ).
cnf(refute_11_345,plain,
( h1(e10) = e23
| h4(e12) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e20) )],[refute_11_294,refute_11_344]) ).
cnf(refute_11_346,plain,
( h4(e12) != e20
| h4(e12) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e20) ),[0],$fot(e23)]]) ).
cnf(refute_11_347,plain,
( h4(e12) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_11_36,refute_11_346]) ).
cnf(refute_11_348,plain,
( e23 = e20
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(h4(e12),e20) )],[refute_11_345,refute_11_347]) ).
cnf(refute_11_349,plain,
h1(e10) = e23,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_11_348,refute_11_146]) ).
cnf(refute_11_350,plain,
( h1(e10) != e20
| h1(e10) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e20) ),[0],$fot(e23)]]) ).
cnf(refute_11_351,plain,
( h1(e10) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_11_349,refute_11_350]) ).
cnf(refute_11_352,plain,
( e23 = e20
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_11_264,refute_11_351]) ).
cnf(refute_11_353,plain,
op2(e23,e20) = e23,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_11_352,refute_11_146]) ).
cnf(refute_11_354,plain,
( h4(op1(e12,e13)) != e23
| op2(e23,e20) != e23
| h4(op1(e12,e13)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_11_355,plain,
( h4(op1(e12,e13)) != e23
| h4(op1(e12,e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_11_353,refute_11_354]) ).
cnf(refute_11_356,plain,
h4(op1(e12,e13)) != e23,
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e20)) )],[refute_11_355,refute_11_46]) ).
cnf(refute_11_357,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_11_58]) ).
cnf(refute_11_358,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_11_59]) ).
cnf(refute_11_359,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_11_360,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_299,refute_11_359]) ).
cnf(refute_11_361,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_11_360,refute_11_358]) ).
cnf(refute_11_362,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_11_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_11_363,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_11_362,refute_11_361]) ).
cnf(refute_11_364,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_11_357,refute_11_363]) ).
cnf(refute_11_365,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_11_60]) ).
cnf(refute_11_366,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_11_367,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_11_368,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_11_366,refute_11_367]) ).
cnf(refute_11_369,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_299,refute_11_368]) ).
cnf(refute_11_370,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_11_371,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_11_372,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_11_370,refute_11_371]) ).
cnf(refute_11_373,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_299,refute_11_372]) ).
cnf(refute_11_374,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_11_20:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_11_375,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_11_373,refute_11_374]) ).
cnf(refute_11_376,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_11_369,refute_11_375]) ).
cnf(refute_11_377,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_11_378,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_11_376,refute_11_377]) ).
cnf(refute_11_379,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_11_306,refute_11_378]) ).
cnf(refute_11_380,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_11_381,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_11_379,refute_11_380]) ).
cnf(refute_11_382,plain,
( op1(e12,e13) != e10
| op1(e13,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_11_383,plain,
( op1(e12,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_11_381,refute_11_382]) ).
cnf(refute_11_384,plain,
op1(e12,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_11_383,refute_11_365]) ).
cnf(refute_11_385,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_11_364,refute_11_384]) ).
cnf(refute_11_386,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_11_61]) ).
cnf(refute_11_387,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_11_388,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_11_324,refute_11_387]) ).
cnf(refute_11_389,plain,
e11 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_11_388,refute_11_386]) ).
cnf(refute_11_390,plain,
( op1(e12,e13) != e11
| e11 = op1(e12,e13) ),
inference(subst,[],[refute_11_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e11))]]) ).
cnf(refute_11_391,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_11_390,refute_11_389]) ).
cnf(refute_11_392,plain,
op1(e12,e13) = e12,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_11_385,refute_11_391]) ).
cnf(refute_11_393,plain,
h4(op1(e12,e13)) = h4(op1(e12,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e13)))]]) ).
cnf(refute_11_394,plain,
( h4(op1(e12,e13)) != h4(op1(e12,e13))
| op1(e12,e13) != e12
| h4(op1(e12,e13)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_11_395,plain,
( op1(e12,e13) != e12
| h4(op1(e12,e13)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) )],[refute_11_393,refute_11_394]) ).
cnf(refute_11_396,plain,
h4(op1(e12,e13)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_11_392,refute_11_395]) ).
cnf(refute_11_397,plain,
( h4(e12) != e23
| h4(op1(e12,e13)) != h4(e12)
| h4(op1(e12,e13)) = e23 ),
inference(subst,[],[refute_11_20:[bind(X,$fot(h4(op1(e12,e13)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).
cnf(refute_11_398,plain,
( h4(e12) != e23
| h4(op1(e12,e13)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(e12)) )],[refute_11_396,refute_11_397]) ).
cnf(refute_11_399,plain,
h4(op1(e12,e13)) = e23,
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_11_36,refute_11_398]) ).
cnf(refute_11_400,plain,
( e23 != e23
| h4(op1(e12,e13)) != e23
| h4(op1(e12,e13)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),e23) ),[1],$fot(e23)]]) ).
cnf(refute_11_401,plain,
( e23 != e23
| h4(op1(e12,e13)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),e23) )],[refute_11_399,refute_11_400]) ).
cnf(refute_11_402,plain,
e23 != e23,
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),e23) )],[refute_11_401,refute_11_356]) ).
cnf(refute_11_403,plain,
$false,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_263,refute_11_402]) ).
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,
( ( ( op2(e20,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) )
& ( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) )
& ( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_12_1,plain,
( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) ),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_2,plain,
( ( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e23) != e21 )
& ( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e23,e21) = e23 )
& ( op2(e21,e20) != e21
| op2(e21,e23) != e21
| op2(e22,e21) = e22 )
& ( op2(e21,e20) != e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e21,e22) != e21
| op2(e21,e23) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e21) = e20
| op2(e23,e21) = e23 )
& ( op2(e21,e23) != e21
| op2(e20,e21) = e20
| op2(e22,e21) = e22 )
& ( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ) ),
inference(clausify,[],[normalize_12_1]) ).
fof(normalize_12_3,plain,
( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_12_2]) ).
fof(normalize_12_4,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_5,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_12_4]) ).
fof(normalize_12_6,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_12_7,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_12_6]) ).
fof(normalize_12_8,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_12_9,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_12_8]) ).
fof(normalize_12_10,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_12_11,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_12,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_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_12_14,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_15,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_16,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_12_17,plain,
e21 != e23,
inference(conjunct,[],[normalize_12_16]) ).
fof(normalize_12_18,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_19,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_20,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_12_6]) ).
fof(normalize_12_21,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_12_22,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_12_21]) ).
fof(normalize_12_23,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_12_8]) ).
fof(normalize_12_24,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_19,normalize_12_20,normalize_12_22,normalize_12_23]) ).
fof(normalize_12_25,plain,
h4(op1(e12,e13)) = op2(h4(e12),h4(e13)),
inference(conjunct,[],[normalize_12_24]) ).
fof(normalize_12_26,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_12_27,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_12_26]) ).
fof(normalize_12_28,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_12_26]) ).
fof(normalize_12_29,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_30,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_12_29]) ).
fof(normalize_12_31,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_32,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_12_31]) ).
fof(normalize_12_33,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_12_34,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_12_33]) ).
fof(normalize_12_35,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_12_31]) ).
fof(normalize_12_36,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_12_33]) ).
fof(normalize_12_37,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_12_31]) ).
fof(normalize_12_38,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(conjunct,[],[normalize_12_33]) ).
fof(normalize_12_39,plain,
op2(e22,e20) != op2(e22,e21),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_40,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_41,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(conjunct,[],[normalize_12_40]) ).
fof(normalize_12_42,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_43,plain,
op2(e22,e20) != op2(e22,e23),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_44,plain,
( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_45,plain,
( ( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e23,e22) != e23 )
& ( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e20) != e23
| op2(e23,e22) != e23
| op2(e21,e23) = e21 )
& ( op2(e23,e20) != e23
| op2(e21,e23) = e21
| op2(e22,e23) = e22 )
& ( op2(e23,e21) != e23
| op2(e23,e22) != e23
| op2(e20,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e23) = e20
| op2(e22,e23) = e22 )
& ( op2(e23,e22) != e23
| op2(e20,e23) = e20
| op2(e21,e23) = e21 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ) ),
inference(clausify,[],[normalize_12_44]) ).
fof(normalize_12_46,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(conjunct,[],[normalize_12_45]) ).
fof(normalize_12_47,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_12_4]) ).
fof(normalize_12_48,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_49,plain,
e20 != e23,
inference(conjunct,[],[normalize_12_16]) ).
fof(normalize_12_50,plain,
e20 != e21,
inference(conjunct,[],[normalize_12_16]) ).
fof(normalize_12_51,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(conjunct,[],[normalize_12_40]) ).
fof(normalize_12_52,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_53,plain,
op2(e22,e21) != op2(e22,e23),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_54,plain,
op2(e21,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_55,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(conjunct,[],[normalize_12_4]) ).
fof(normalize_12_56,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_12_21]) ).
fof(normalize_12_57,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_58,plain,
( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_59,plain,
( ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e22,e23) != e22 )
& ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e23,e22) = e23 )
& ( op2(e22,e20) != e22
| op2(e22,e23) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e20) != e22
| op2(e21,e22) = e21
| op2(e23,e22) = e23 )
& ( op2(e22,e21) != e22
| op2(e22,e23) != e22
| op2(e20,e22) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e22) = e20
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e22
| op2(e20,e22) = e20
| op2(e21,e22) = e21 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ) ),
inference(clausify,[],[normalize_12_58]) ).
fof(normalize_12_60,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_12_59]) ).
fof(normalize_12_61,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_62,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
inference(conjunct,[],[normalize_12_4]) ).
fof(normalize_12_63,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_64,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_65,plain,
op2(e21,e20) != op2(e21,e21),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_66,plain,
( op2(e21,e20) != e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_12_2]) ).
fof(normalize_12_67,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_68,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(conjunct,[],[normalize_12_4]) ).
fof(normalize_12_69,plain,
e22 != e23,
inference(conjunct,[],[normalize_12_16]) ).
fof(normalize_12_70,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_71,plain,
( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 ),
inference(conjunct,[],[normalize_12_4]) ).
fof(normalize_12_72,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_12_40]) ).
fof(normalize_12_73,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_74,plain,
e21 != e22,
inference(conjunct,[],[normalize_12_16]) ).
fof(normalize_12_75,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_76,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(conjunct,[],[normalize_12_40]) ).
fof(normalize_12_77,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_78,plain,
e20 != e22,
inference(conjunct,[],[normalize_12_16]) ).
fof(normalize_12_79,plain,
( op2(e21,e22) != e21
| op2(e20,e21) = e20
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_12_2]) ).
fof(normalize_12_80,plain,
op2(e21,e21) != op2(e21,e22),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_81,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_12_21]) ).
fof(normalize_12_82,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(conjunct,[],[normalize_12_4]) ).
fof(normalize_12_83,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_12_13]) ).
cnf(refute_12_0,plain,
( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_12_3]) ).
cnf(refute_12_1,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_12_5]) ).
cnf(refute_12_2,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_12_7]) ).
cnf(refute_12_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_12_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_12_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_12_3,refute_12_4]) ).
cnf(refute_12_6,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_12_7,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_12_2,refute_12_6]) ).
cnf(refute_12_8,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_12_9,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_12_7,refute_12_8]) ).
cnf(refute_12_10,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_12_1,refute_12_9]) ).
cnf(refute_12_11,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_12_9]) ).
cnf(refute_12_12,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_12_11]) ).
cnf(refute_12_13,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_12_14,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_12_12,refute_12_13]) ).
cnf(refute_12_15,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_12_16,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_12_17,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_12_15,refute_12_16]) ).
cnf(refute_12_18,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_14,refute_12_17]) ).
cnf(refute_12_19,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_12_12]) ).
cnf(refute_12_20,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = e20 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_12_21,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_12_19,refute_12_20]) ).
cnf(refute_12_22,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_12_23,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) ),[1,0],$fot(e20)]]) ).
cnf(refute_12_24,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_12_22,refute_12_23]) ).
cnf(refute_12_25,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e20) )],[refute_12_21,refute_12_24]) ).
cnf(refute_12_26,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_12_27,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_12_5,refute_12_26]) ).
cnf(refute_12_28,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(subst,[],[refute_12_27:[bind(X,$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))),bind(Y,$fot(op2(e20,op2(e22,e22)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_12_29,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_12_25,refute_12_28]) ).
cnf(refute_12_30,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_12_18,refute_12_29]) ).
cnf(refute_12_31,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,e23)
| h3(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e20,e23)) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_12_32,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| h3(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,e23)) )],[refute_12_30,refute_12_31]) ).
cnf(refute_12_33,plain,
h3(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_12_11,refute_12_32]) ).
cnf(refute_12_34,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_12_35,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_12_33,refute_12_34]) ).
cnf(refute_12_36,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_12_37,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_12_35,refute_12_36]) ).
cnf(refute_12_38,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_12_10,refute_12_37]) ).
cnf(refute_12_39,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_12_14]) ).
cnf(refute_12_40,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_12_41,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_14,refute_12_40]) ).
cnf(refute_12_42,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_12_41,refute_12_39]) ).
cnf(refute_12_43,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_12_38,refute_12_42]) ).
cnf(refute_12_44,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_12_15]) ).
cnf(refute_12_45,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,op2(e22,e22))) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_12_46,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_12_25,refute_12_45]) ).
cnf(refute_12_47,plain,
e21 = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(e21,op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_12_44,refute_12_46]) ).
cnf(refute_12_48,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(subst,[],[refute_12_27:[bind(X,$fot(op2(e20,op2(e22,e22)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_12_49,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_12_18,refute_12_48]) ).
cnf(refute_12_50,plain,
op2(e20,op2(e22,e22)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_12_35,refute_12_49]) ).
cnf(refute_12_51,plain,
( e21 != op2(e20,op2(e22,e22))
| op2(e20,op2(e22,e22)) != h3(e11)
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[0],$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_12_52,plain,
( e21 != op2(e20,op2(e22,e22))
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),h3(e11)) )],[refute_12_50,refute_12_51]) ).
cnf(refute_12_53,plain,
e21 = h3(e11),
inference(resolve,[$cnf( $equal(e21,op2(e20,op2(e22,e22))) )],[refute_12_47,refute_12_52]) ).
cnf(refute_12_54,plain,
( e21 != h3(e11)
| h3(e11) = e21 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e21)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_12_55,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_12_53,refute_12_54]) ).
cnf(refute_12_56,plain,
( h3(e11) != e21
| h3(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_12_57,plain,
( h3(e11) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_12_55,refute_12_56]) ).
cnf(refute_12_58,plain,
( e21 = e23
| h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_12_43,refute_12_57]) ).
cnf(refute_12_59,plain,
e21 != e23,
inference(canonicalize,[],[normalize_12_17]) ).
cnf(refute_12_60,plain,
( h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_12_58,refute_12_59]) ).
cnf(refute_12_61,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_12_18]) ).
cnf(refute_12_62,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_12_63,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_12_7,refute_12_62]) ).
cnf(refute_12_64,plain,
h1(e13) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_12_63,refute_12_61]) ).
cnf(refute_12_65,plain,
h4(op1(e12,e13)) = op2(h4(e12),h4(e13)),
inference(canonicalize,[],[normalize_12_25]) ).
cnf(refute_12_66,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_12_27]) ).
cnf(refute_12_67,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_12_68,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_12_66,refute_12_67]) ).
cnf(refute_12_69,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_12_70,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_12_71,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_12_69,refute_12_70]) ).
cnf(refute_12_72,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_14,refute_12_71]) ).
cnf(refute_12_73,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_12_74,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_12_75,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_12_73,refute_12_74]) ).
cnf(refute_12_76,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_14,refute_12_75]) ).
cnf(refute_12_77,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_12_27:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_12_78,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_12_76,refute_12_77]) ).
cnf(refute_12_79,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_12_72,refute_12_78]) ).
cnf(refute_12_80,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_12_27:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_12_81,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_12_79,refute_12_80]) ).
cnf(refute_12_82,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_68,refute_12_81]) ).
cnf(refute_12_83,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_12_84,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_12_82,refute_12_83]) ).
cnf(refute_12_85,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_12_19,refute_12_84]) ).
cnf(refute_12_86,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_12_87,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_12_85,refute_12_86]) ).
cnf(refute_12_88,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_12_89,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_12_90,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_12_88,refute_12_89]) ).
cnf(refute_12_91,plain,
op2(e23,h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_12_87,refute_12_90]) ).
cnf(refute_12_92,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_12_28]) ).
cnf(refute_12_93,plain,
op2(h4(e12),h4(e13)) = op2(h4(e12),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_12_94,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_12_95,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) )],[refute_12_93,refute_12_94]) ).
cnf(refute_12_96,plain,
op2(h4(e12),h4(e13)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_12_92,refute_12_95]) ).
cnf(refute_12_97,plain,
( op2(e23,h4(e13)) != op2(e23,e20)
| op2(h4(e12),h4(e13)) != op2(e23,h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,e20) ),
inference(subst,[],[refute_12_27:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e23,h4(e13)))),bind(Z,$fot(op2(e23,e20)))]]) ).
cnf(refute_12_98,plain,
( op2(e23,h4(e13)) != op2(e23,e20)
| op2(h4(e12),h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,h4(e13))) )],[refute_12_96,refute_12_97]) ).
cnf(refute_12_99,plain,
op2(h4(e12),h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e20)) )],[refute_12_91,refute_12_98]) ).
cnf(refute_12_100,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) != op2(e23,e20)
| h4(op1(e12,e13)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(e23,e20)) ),[0],$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_12_101,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,e20)) )],[refute_12_99,refute_12_100]) ).
cnf(refute_12_102,plain,
h4(op1(e12,e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) )],[refute_12_65,refute_12_101]) ).
cnf(refute_12_103,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_12_30]) ).
cnf(refute_12_104,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_12_32]) ).
cnf(refute_12_105,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_12_34]) ).
cnf(refute_12_106,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_12_107,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_12_105,refute_12_106]) ).
cnf(refute_12_108,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_12_109,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_107,refute_12_108]) ).
cnf(refute_12_110,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_12_109,refute_12_104]) ).
cnf(refute_12_111,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_12_112,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_12_111,refute_12_110]) ).
cnf(refute_12_113,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_12_103,refute_12_112]) ).
cnf(refute_12_114,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_12_35]) ).
cnf(refute_12_115,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_12_36]) ).
cnf(refute_12_116,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_12_117,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_12_118,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_12_116,refute_12_117]) ).
cnf(refute_12_119,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_107,refute_12_118]) ).
cnf(refute_12_120,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_12_121,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_12_122,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_12_120,refute_12_121]) ).
cnf(refute_12_123,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_107,refute_12_122]) ).
cnf(refute_12_124,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_12_27:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_12_125,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_12_123,refute_12_124]) ).
cnf(refute_12_126,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_12_119,refute_12_125]) ).
cnf(refute_12_127,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_12_128,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_12_126,refute_12_127]) ).
cnf(refute_12_129,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_12_115,refute_12_128]) ).
cnf(refute_12_130,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_12_131,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_12_129,refute_12_130]) ).
cnf(refute_12_132,plain,
( op1(e12,e13) != e10
| op1(e13,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_12_133,plain,
( op1(e12,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_12_131,refute_12_132]) ).
cnf(refute_12_134,plain,
op1(e12,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_12_133,refute_12_114]) ).
cnf(refute_12_135,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_12_113,refute_12_134]) ).
cnf(refute_12_136,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_12_37]) ).
cnf(refute_12_137,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(canonicalize,[],[normalize_12_38]) ).
cnf(refute_12_138,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = e10 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e12,e12),op1(e12,e12))))]]) ).
cnf(refute_12_139,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_12_115,refute_12_138]) ).
cnf(refute_12_140,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_12_141,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_12_142,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_12_140,refute_12_141]) ).
cnf(refute_12_143,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e10) )],[refute_12_139,refute_12_142]) ).
cnf(refute_12_144,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(e10,op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,op1(e12,e12))) ),[0],$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_12_145,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_12_143,refute_12_144]) ).
cnf(refute_12_146,plain,
e11 = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(e11,op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_12_137,refute_12_145]) ).
cnf(refute_12_147,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_12_148,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_12_149,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_12_147,refute_12_148]) ).
cnf(refute_12_150,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_107,refute_12_149]) ).
cnf(refute_12_151,plain,
( e11 != op1(e10,op1(e12,e12))
| op1(e10,op1(e12,e12)) != op1(e10,e13)
| e11 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e13)) ),[0],$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_12_152,plain,
( e11 != op1(e10,op1(e12,e12))
| e11 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_12_150,refute_12_151]) ).
cnf(refute_12_153,plain,
e11 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e11,op1(e10,op1(e12,e12))) )],[refute_12_146,refute_12_152]) ).
cnf(refute_12_154,plain,
( e11 != op1(e10,e13)
| op1(e10,e13) = e11 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_12_155,plain,
op1(e10,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_12_153,refute_12_154]) ).
cnf(refute_12_156,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_12_157,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_12_155,refute_12_156]) ).
cnf(refute_12_158,plain,
e11 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_12_157,refute_12_136]) ).
cnf(refute_12_159,plain,
( op1(e12,e13) != e11
| e11 = op1(e12,e13) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e11))]]) ).
cnf(refute_12_160,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_12_159,refute_12_158]) ).
cnf(refute_12_161,plain,
op1(e12,e13) = e12,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_12_135,refute_12_160]) ).
cnf(refute_12_162,plain,
h4(op1(e12,e13)) = h4(op1(e12,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e13)))]]) ).
cnf(refute_12_163,plain,
( h4(op1(e12,e13)) != h4(op1(e12,e13))
| op1(e12,e13) != e12
| h4(op1(e12,e13)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_12_164,plain,
( op1(e12,e13) != e12
| h4(op1(e12,e13)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) )],[refute_12_162,refute_12_163]) ).
cnf(refute_12_165,plain,
h4(op1(e12,e13)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_12_161,refute_12_164]) ).
cnf(refute_12_166,plain,
( h4(e12) != e23
| h4(op1(e12,e13)) != h4(e12)
| h4(op1(e12,e13)) = e23 ),
inference(subst,[],[refute_12_27:[bind(X,$fot(h4(op1(e12,e13)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).
cnf(refute_12_167,plain,
( h4(e12) != e23
| h4(op1(e12,e13)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(e12)) )],[refute_12_165,refute_12_166]) ).
cnf(refute_12_168,plain,
h4(op1(e12,e13)) = e23,
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_12_92,refute_12_167]) ).
cnf(refute_12_169,plain,
( h4(op1(e12,e13)) != e23
| h4(op1(e12,e13)) != op2(e23,e20)
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e20)) ),[0],$fot(e23)]]) ).
cnf(refute_12_170,plain,
( h4(op1(e12,e13)) != op2(e23,e20)
| e23 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),e23) )],[refute_12_168,refute_12_169]) ).
cnf(refute_12_171,plain,
e23 = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e20)) )],[refute_12_102,refute_12_170]) ).
cnf(refute_12_172,plain,
( e23 != op2(e23,e20)
| op2(e23,e20) = e23 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_12_173,plain,
op2(e23,e20) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_12_171,refute_12_172]) ).
cnf(refute_12_174,plain,
( h1(e13) != e23
| op2(e23,e20) != e23
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_12_175,plain,
( h1(e13) != e23
| h1(e13) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_12_173,refute_12_174]) ).
cnf(refute_12_176,plain,
h1(e13) != e23,
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_12_175,refute_12_64]) ).
cnf(refute_12_177,plain,
op2(e20,e21) = e23,
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_12_60,refute_12_176]) ).
cnf(refute_12_178,plain,
( op2(e20,e21) != e20
| op2(e20,e21) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(e23)]]) ).
cnf(refute_12_179,plain,
( op2(e20,e21) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_12_177,refute_12_178]) ).
cnf(refute_12_180,plain,
( e23 = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_12_0,refute_12_179]) ).
cnf(refute_12_181,plain,
op2(e22,e20) != op2(e22,e21),
inference(canonicalize,[],[normalize_12_39]) ).
cnf(refute_12_182,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(canonicalize,[],[normalize_12_41]) ).
cnf(refute_12_183,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_12_42]) ).
cnf(refute_12_184,plain,
( op2(e22,e20) != e23
| op2(e22,e22) != e23
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_12_185,plain,
( op2(e22,e20) != e23
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_14,refute_12_184]) ).
cnf(refute_12_186,plain,
op2(e22,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_12_185,refute_12_183]) ).
cnf(refute_12_187,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_12_182,refute_12_186]) ).
cnf(refute_12_188,plain,
op2(e22,e20) != op2(e22,e23),
inference(canonicalize,[],[normalize_12_43]) ).
cnf(refute_12_189,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(canonicalize,[],[normalize_12_46]) ).
cnf(refute_12_190,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_12_191,plain,
( op2(e20,e23) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_12_35,refute_12_190]) ).
cnf(refute_12_192,plain,
( h3(e11) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_12_189,refute_12_191]) ).
cnf(refute_12_193,plain,
( h3(e11) != e20
| h3(e11) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e20) ),[0],$fot(e21)]]) ).
cnf(refute_12_194,plain,
( h3(e11) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_12_55,refute_12_193]) ).
cnf(refute_12_195,plain,
( e21 = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_12_192,refute_12_194]) ).
cnf(refute_12_196,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_12_47]) ).
cnf(refute_12_197,plain,
( h3(e11) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_12_196,refute_12_37]) ).
cnf(refute_12_198,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_12_199,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_68,refute_12_198]) ).
cnf(refute_12_200,plain,
( h3(e11) = e23
| h4(e13) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_12_197,refute_12_199]) ).
cnf(refute_12_201,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_12_48]) ).
cnf(refute_12_202,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_12_203,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_14,refute_12_202]) ).
cnf(refute_12_204,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_12_203,refute_12_201]) ).
cnf(refute_12_205,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_12_206,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_12_205,refute_12_204]) ).
cnf(refute_12_207,plain,
( h3(e11) = e23
| h4(e13) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_12_200,refute_12_206]) ).
cnf(refute_12_208,plain,
( e21 = e23
| h4(e13) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_12_207,refute_12_57]) ).
cnf(refute_12_209,plain,
( h4(e13) != e20
| h4(e13) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e20)]]) ).
cnf(refute_12_210,plain,
( h4(e13) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_12_87,refute_12_209]) ).
cnf(refute_12_211,plain,
( e20 = e23
| e21 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_208,refute_12_210]) ).
cnf(refute_12_212,plain,
e20 != e23,
inference(canonicalize,[],[normalize_12_49]) ).
cnf(refute_12_213,plain,
( e21 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_12_211,refute_12_212]) ).
cnf(refute_12_214,plain,
op2(e21,e23) = e23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_12_213,refute_12_59]) ).
cnf(refute_12_215,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(e23)]]) ).
cnf(refute_12_216,plain,
( op2(e21,e23) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_12_214,refute_12_215]) ).
cnf(refute_12_217,plain,
( e21 = e20
| e23 = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_12_195,refute_12_216]) ).
cnf(refute_12_218,plain,
e20 != e21,
inference(canonicalize,[],[normalize_12_50]) ).
cnf(refute_12_219,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_12_220,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_12_219,refute_12_218]) ).
cnf(refute_12_221,plain,
( e23 = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_12_217,refute_12_220]) ).
cnf(refute_12_222,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_12_223,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_12_222,refute_12_59]) ).
cnf(refute_12_224,plain,
op2(e22,e23) = e22,
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_12_221,refute_12_223]) ).
cnf(refute_12_225,plain,
( op2(e22,e20) != e22
| op2(e22,e23) != e22
| op2(e22,e20) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_12_226,plain,
( op2(e22,e20) != e22
| op2(e22,e20) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_12_224,refute_12_225]) ).
cnf(refute_12_227,plain,
op2(e22,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e23)) )],[refute_12_226,refute_12_188]) ).
cnf(refute_12_228,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_12_187,refute_12_227]) ).
cnf(refute_12_229,plain,
( e21 != op2(e22,e21)
| op2(e22,e20) != e21
| op2(e22,e20) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_12_230,plain,
( e21 != op2(e22,e21)
| op2(e22,e20) = e20
| op2(e22,e20) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_12_228,refute_12_229]) ).
cnf(refute_12_231,plain,
( e21 != op2(e22,e21)
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e21)) )],[refute_12_230,refute_12_181]) ).
cnf(refute_12_232,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(canonicalize,[],[normalize_12_51]) ).
cnf(refute_12_233,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_12_52]) ).
cnf(refute_12_234,plain,
( op2(e22,e21) != e23
| op2(e22,e22) != e23
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_12_235,plain,
( op2(e22,e21) != e23
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_14,refute_12_234]) ).
cnf(refute_12_236,plain,
op2(e22,e21) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_12_235,refute_12_233]) ).
cnf(refute_12_237,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_12_232,refute_12_236]) ).
cnf(refute_12_238,plain,
op2(e22,e21) != op2(e22,e23),
inference(canonicalize,[],[normalize_12_53]) ).
cnf(refute_12_239,plain,
( op2(e22,e21) != e22
| op2(e22,e23) != e22
| op2(e22,e21) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_12_240,plain,
( op2(e22,e21) != e22
| op2(e22,e21) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_12_224,refute_12_239]) ).
cnf(refute_12_241,plain,
op2(e22,e21) != e22,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e23)) )],[refute_12_240,refute_12_238]) ).
cnf(refute_12_242,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_12_237,refute_12_241]) ).
cnf(refute_12_243,plain,
( e21 != e21
| op2(e22,e21) != e21
| e21 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_12_244,plain,
( e21 != e21
| e21 = op2(e22,e21)
| op2(e22,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_12_242,refute_12_243]) ).
cnf(refute_12_245,plain,
( e21 != e21
| op2(e22,e20) = e20
| op2(e22,e21) = e20 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_12_244,refute_12_231]) ).
cnf(refute_12_246,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_12_247,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_246,refute_12_245]) ).
cnf(refute_12_248,plain,
op2(e21,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_12_54]) ).
cnf(refute_12_249,plain,
( op2(e21,e20) != e20
| op2(e22,e20) != e20
| op2(e21,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e22,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_12_250,plain,
( op2(e21,e20) != e20
| op2(e21,e20) = op2(e22,e20)
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_12_228,refute_12_249]) ).
cnf(refute_12_251,plain,
( op2(e21,e20) != e20
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e22,e20)) )],[refute_12_250,refute_12_248]) ).
cnf(refute_12_252,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(canonicalize,[],[normalize_12_55]) ).
cnf(refute_12_253,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_12_56]) ).
cnf(refute_12_254,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_12_255,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_12_253,refute_12_254]) ).
cnf(refute_12_256,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_12_257,plain,
( op2(e21,e21) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_255,refute_12_256]) ).
cnf(refute_12_258,plain,
( h2(e13) = e20
| op2(e21,e20) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_12_252,refute_12_257]) ).
cnf(refute_12_259,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_12_57]) ).
cnf(refute_12_260,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_12_60]) ).
cnf(refute_12_261,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_12_61]) ).
cnf(refute_12_262,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_12_263,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_14,refute_12_262]) ).
cnf(refute_12_264,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_12_263,refute_12_261]) ).
cnf(refute_12_265,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_12_266,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_12_265,refute_12_264]) ).
cnf(refute_12_267,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_12_260,refute_12_266]) ).
cnf(refute_12_268,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
inference(canonicalize,[],[normalize_12_62]) ).
cnf(refute_12_269,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).
cnf(refute_12_270,plain,
( op2(e22,e22) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_14,refute_12_269]) ).
cnf(refute_12_271,plain,
( e23 = e20
| op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_12_268,refute_12_270]) ).
cnf(refute_12_272,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_12_273,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_12_272,refute_12_212]) ).
cnf(refute_12_274,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_12_271,refute_12_273]) ).
cnf(refute_12_275,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_12_63]) ).
cnf(refute_12_276,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_12_277,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_68,refute_12_276]) ).
cnf(refute_12_278,plain,
op2(e23,e22) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_12_277,refute_12_275]) ).
cnf(refute_12_279,plain,
( h4(e13) != e20
| op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_12_280,plain,
( op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_12_87,refute_12_279]) ).
cnf(refute_12_281,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),h4(e13)) )],[refute_12_280,refute_12_278]) ).
cnf(refute_12_282,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_12_274,refute_12_281]) ).
cnf(refute_12_283,plain,
( op2(e21,e22) != e20
| op2(e21,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0],$fot(e20)]]) ).
cnf(refute_12_284,plain,
( op2(e21,e22) != e21
| e20 = e21
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_12_282,refute_12_283]) ).
cnf(refute_12_285,plain,
( e20 = e21
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_267,refute_12_284]) ).
cnf(refute_12_286,plain,
op2(e20,e22) = e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_12_285,refute_12_218]) ).
cnf(refute_12_287,plain,
( e20 != op2(e21,e22)
| op2(e20,e22) != e20
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_12_288,plain,
( e20 != op2(e21,e22)
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_12_286,refute_12_287]) ).
cnf(refute_12_289,plain,
e20 != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_12_288,refute_12_259]) ).
cnf(refute_12_290,plain,
( op2(e21,e22) != e20
| e20 = op2(e21,e22) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(op2(e21,e22))),bind(Y,$fot(e20))]]) ).
cnf(refute_12_291,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e22)) )],[refute_12_290,refute_12_289]) ).
cnf(refute_12_292,plain,
( h2(e13) = e20
| op2(e21,e20) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_12_258,refute_12_291]) ).
cnf(refute_12_293,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_12_64]) ).
cnf(refute_12_294,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_12_295,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_68,refute_12_294]) ).
cnf(refute_12_296,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_12_295,refute_12_293]) ).
cnf(refute_12_297,plain,
( h4(e13) != e20
| op2(e21,e23) != e20
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_12_298,plain,
( op2(e21,e23) != e20
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_12_87,refute_12_297]) ).
cnf(refute_12_299,plain,
op2(e21,e23) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_12_298,refute_12_296]) ).
cnf(refute_12_300,plain,
( h2(e13) = e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_12_292,refute_12_299]) ).
cnf(refute_12_301,plain,
op2(e21,e20) != op2(e21,e21),
inference(canonicalize,[],[normalize_12_65]) ).
cnf(refute_12_302,plain,
( op2(e21,e20) != h2(e13)
| op2(e21,e21) != h2(e13)
| op2(e21,e20) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_12_303,plain,
( op2(e21,e20) != h2(e13)
| op2(e21,e20) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_255,refute_12_302]) ).
cnf(refute_12_304,plain,
op2(e21,e20) != h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e21)) )],[refute_12_303,refute_12_301]) ).
cnf(refute_12_305,plain,
( op2(e21,e20) != e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_12_66]) ).
cnf(refute_12_306,plain,
( op2(e21,e20) != e21
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_12_305,refute_12_241]) ).
cnf(refute_12_307,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_12_67]) ).
cnf(refute_12_308,plain,
( e23 != op2(e23,e21)
| op2(e23,e20) != e23
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_12_309,plain,
( e23 != op2(e23,e21)
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_12_173,refute_12_308]) ).
cnf(refute_12_310,plain,
e23 != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_12_309,refute_12_307]) ).
cnf(refute_12_311,plain,
( op2(e23,e21) != e23
| e23 = op2(e23,e21) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e23))]]) ).
cnf(refute_12_312,plain,
op2(e23,e21) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_12_311,refute_12_310]) ).
cnf(refute_12_313,plain,
op2(e21,e20) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_12_306,refute_12_312]) ).
cnf(refute_12_314,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(canonicalize,[],[normalize_12_68]) ).
cnf(refute_12_315,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_12_316,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_255,refute_12_315]) ).
cnf(refute_12_317,plain,
( h2(e13) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_12_314,refute_12_316]) ).
cnf(refute_12_318,plain,
( op2(e20,e21) != e22
| op2(e20,e21) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[0],$fot(e23)]]) ).
cnf(refute_12_319,plain,
( op2(e20,e21) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_12_177,refute_12_318]) ).
cnf(refute_12_320,plain,
( e23 = e22
| h2(e13) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_12_317,refute_12_319]) ).
cnf(refute_12_321,plain,
e22 != e23,
inference(canonicalize,[],[normalize_12_69]) ).
cnf(refute_12_322,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_12_323,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_12_322,refute_12_321]) ).
cnf(refute_12_324,plain,
( h2(e13) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_12_320,refute_12_323]) ).
cnf(refute_12_325,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_12_70]) ).
cnf(refute_12_326,plain,
( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 ),
inference(canonicalize,[],[normalize_12_71]) ).
cnf(refute_12_327,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != h4(e13)
| h4(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[0],$fot(h4(e13))]]) ).
cnf(refute_12_328,plain,
( op2(e23,e23) != e21
| h4(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_68,refute_12_327]) ).
cnf(refute_12_329,plain,
( h4(e13) = e21
| op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_326,refute_12_328]) ).
cnf(refute_12_330,plain,
( h4(e13) != e20
| h4(e13) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e21) ),[0],$fot(e20)]]) ).
cnf(refute_12_331,plain,
( h4(e13) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_12_87,refute_12_330]) ).
cnf(refute_12_332,plain,
( e20 = e21
| op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_12_329,refute_12_331]) ).
cnf(refute_12_333,plain,
( op2(e23,e20) != e21
| op2(e23,e20) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e21) ),[0],$fot(e23)]]) ).
cnf(refute_12_334,plain,
( op2(e23,e20) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_12_173,refute_12_333]) ).
cnf(refute_12_335,plain,
( e20 = e21
| e23 = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_12_332,refute_12_334]) ).
cnf(refute_12_336,plain,
( e23 = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_12_335,refute_12_218]) ).
cnf(refute_12_337,plain,
( op2(e23,e21) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_12_336,refute_12_223]) ).
cnf(refute_12_338,plain,
( op2(e21,e22) != e21
| op2(e23,e22) != e21
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_12_339,plain,
( op2(e21,e22) != e21
| op2(e21,e22) = op2(e23,e22)
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_12_337,refute_12_338]) ).
cnf(refute_12_340,plain,
( op2(e21,e22) != e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_12_339,refute_12_325]) ).
cnf(refute_12_341,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_12_72]) ).
cnf(refute_12_342,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_12_73]) ).
cnf(refute_12_343,plain,
( op2(e21,e22) != e23
| op2(e22,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_12_344,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_14,refute_12_343]) ).
cnf(refute_12_345,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_12_344,refute_12_342]) ).
cnf(refute_12_346,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_12_341,refute_12_345]) ).
cnf(refute_12_347,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_12_346,refute_12_291]) ).
cnf(refute_12_348,plain,
( e21 != e21
| op2(e21,e22) != e21
| op2(e21,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_12_349,plain,
( e21 != e21
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_347,refute_12_348]) ).
cnf(refute_12_350,plain,
( e21 != e21
| op2(e21,e22) = e22
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_349,refute_12_340]) ).
cnf(refute_12_351,plain,
( op2(e21,e22) = e22
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_246,refute_12_350]) ).
cnf(refute_12_352,plain,
( op2(e23,e21) != e21
| op2(e23,e21) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e22) ),[0],$fot(e21)]]) ).
cnf(refute_12_353,plain,
( op2(e23,e21) != e22
| e21 = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_12_351,refute_12_352]) ).
cnf(refute_12_354,plain,
( e21 = e22
| h2(e13) = e22
| op2(e21,e22) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_12_324,refute_12_353]) ).
cnf(refute_12_355,plain,
e21 != e22,
inference(canonicalize,[],[normalize_12_74]) ).
cnf(refute_12_356,plain,
( h2(e13) = e22
| op2(e21,e22) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_12_354,refute_12_355]) ).
cnf(refute_12_357,plain,
( h2(e13) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_12_356,refute_12_241]) ).
cnf(refute_12_358,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_12_75]) ).
cnf(refute_12_359,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(canonicalize,[],[normalize_12_76]) ).
cnf(refute_12_360,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_12_77]) ).
cnf(refute_12_361,plain,
( op2(e21,e20) != e23
| op2(e23,e20) != e23
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_12_362,plain,
( op2(e21,e20) != e23
| op2(e21,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_12_173,refute_12_361]) ).
cnf(refute_12_363,plain,
op2(e21,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_12_362,refute_12_360]) ).
cnf(refute_12_364,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_12_359,refute_12_363]) ).
cnf(refute_12_365,plain,
( e22 != op2(e21,e22)
| op2(e21,e20) != e22
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e22) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_12_366,plain,
( e22 != op2(e21,e22)
| op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_12_364,refute_12_365]) ).
cnf(refute_12_367,plain,
( e22 != op2(e21,e22)
| op2(e21,e20) = e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_12_366,refute_12_358]) ).
cnf(refute_12_368,plain,
( e22 != e22
| op2(e21,e22) != e22
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_12_369,plain,
( e22 != e22
| e22 = op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_12_347,refute_12_368]) ).
cnf(refute_12_370,plain,
( e22 != e22
| op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_12_369,refute_12_367]) ).
cnf(refute_12_371,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_12_372,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_12_371,refute_12_370]) ).
cnf(refute_12_373,plain,
( op2(e21,e22) != e21
| op2(e21,e22) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e21)]]) ).
cnf(refute_12_374,plain,
( op2(e21,e22) != e22
| e21 = e22
| op2(e21,e20) = e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_372,refute_12_373]) ).
cnf(refute_12_375,plain,
( e21 = e22
| h2(e13) = e22
| op2(e21,e20) = e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_12_357,refute_12_374]) ).
cnf(refute_12_376,plain,
( h2(e13) = e22
| op2(e21,e20) = e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_12_375,refute_12_355]) ).
cnf(refute_12_377,plain,
( e21 != e21
| op2(e21,e20) != e21
| op2(e21,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[0,0],$fot(e21)]]) ).
cnf(refute_12_378,plain,
( e21 != e21
| h2(e13) = e22
| op2(e21,e20) = e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_12_376,refute_12_377]) ).
cnf(refute_12_379,plain,
( e21 != e21
| h2(e13) = e22
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_12_378,refute_12_313]) ).
cnf(refute_12_380,plain,
( h2(e13) = e22
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_246,refute_12_379]) ).
cnf(refute_12_381,plain,
( e20 != h2(e13)
| op2(e21,e20) != e20
| op2(e21,e20) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[1],$fot(h2(e13))]]) ).
cnf(refute_12_382,plain,
( e20 != h2(e13)
| h2(e13) = e22
| op2(e21,e20) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_12_380,refute_12_381]) ).
cnf(refute_12_383,plain,
( e20 != h2(e13)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e13)) )],[refute_12_382,refute_12_304]) ).
cnf(refute_12_384,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_12_385,plain,
( e20 != e20
| e20 != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(e20,e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_12_386,plain,
( e20 != h2(e13)
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_12_384,refute_12_385]) ).
cnf(refute_12_387,plain,
( h2(e13) != e20
| h2(e13) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e20)]]) ).
cnf(refute_12_388,plain,
( e20 != h2(e13)
| h2(e13) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_12_386,refute_12_387]) ).
cnf(refute_12_389,plain,
( e20 != h2(e13)
| e20 = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_12_383,refute_12_388]) ).
cnf(refute_12_390,plain,
e20 != e22,
inference(canonicalize,[],[normalize_12_78]) ).
cnf(refute_12_391,plain,
e20 != h2(e13),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_12_389,refute_12_390]) ).
cnf(refute_12_392,plain,
( h2(e13) != e20
| e20 = h2(e13) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(e20))]]) ).
cnf(refute_12_393,plain,
h2(e13) != e20,
inference(resolve,[$cnf( $equal(e20,h2(e13)) )],[refute_12_392,refute_12_391]) ).
cnf(refute_12_394,plain,
op2(e21,e20) = e20,
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_12_300,refute_12_393]) ).
cnf(refute_12_395,plain,
( e20 != e20
| op2(e21,e20) != e20
| op2(e21,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_12_396,plain,
( e20 != e20
| op2(e21,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_12_394,refute_12_395]) ).
cnf(refute_12_397,plain,
( e20 != e20
| op2(e22,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_12_396,refute_12_251]) ).
cnf(refute_12_398,plain,
op2(e22,e20) = e21,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_12_384,refute_12_397]) ).
cnf(refute_12_399,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(e21)]]) ).
cnf(refute_12_400,plain,
( op2(e22,e20) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_12_398,refute_12_399]) ).
cnf(refute_12_401,plain,
( e21 = e20
| op2(e22,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_12_247,refute_12_400]) ).
cnf(refute_12_402,plain,
op2(e22,e21) = e20,
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_12_401,refute_12_220]) ).
cnf(refute_12_403,plain,
( op2(e22,e21) != e20
| op2(e22,e21) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[0],$fot(e20)]]) ).
cnf(refute_12_404,plain,
( op2(e22,e21) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_12_402,refute_12_403]) ).
cnf(refute_12_405,plain,
( e20 = e22
| e23 = e20
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_12_180,refute_12_404]) ).
cnf(refute_12_406,plain,
( e20 = e22
| h2(e13) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_12_324,refute_12_404]) ).
cnf(refute_12_407,plain,
( h2(e13) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_12_406,refute_12_390]) ).
cnf(refute_12_408,plain,
( op2(e21,e22) != e21
| op2(e20,e21) = e20
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_12_79]) ).
cnf(refute_12_409,plain,
( op2(e21,e22) != e21
| e23 = e20
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_12_408,refute_12_179]) ).
cnf(refute_12_410,plain,
( op2(e21,e22) != e21
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_12_409,refute_12_273]) ).
cnf(refute_12_411,plain,
op2(e21,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_12_410,refute_12_312]) ).
cnf(refute_12_412,plain,
op2(e21,e21) != op2(e21,e22),
inference(canonicalize,[],[normalize_12_80]) ).
cnf(refute_12_413,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_12_414,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_255,refute_12_413]) ).
cnf(refute_12_415,plain,
h2(e13) != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e22)) )],[refute_12_414,refute_12_412]) ).
cnf(refute_12_416,plain,
( h2(e13) != e22
| op2(e21,e22) != e22
| h2(e13) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_12_417,plain,
( h2(e13) != e22
| h2(e13) = op2(e21,e22)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_12_347,refute_12_416]) ).
cnf(refute_12_418,plain,
( h2(e13) != e22
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_12_417,refute_12_415]) ).
cnf(refute_12_419,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_12_81]) ).
cnf(refute_12_420,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_12_421,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_12_422,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_12_420,refute_12_421]) ).
cnf(refute_12_423,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_255,refute_12_422]) ).
cnf(refute_12_424,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_12_425,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),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(e13))]]) ).
cnf(refute_12_426,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_12_424,refute_12_425]) ).
cnf(refute_12_427,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_255,refute_12_426]) ).
cnf(refute_12_428,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_12_27:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_12_429,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_12_427,refute_12_428]) ).
cnf(refute_12_430,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_12_423,refute_12_429]) ).
cnf(refute_12_431,plain,
( h2(e10) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e10) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_12_432,plain,
( h2(e10) != op2(op2(e21,e21),op2(e21,e21))
| h2(e10) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_12_430,refute_12_431]) ).
cnf(refute_12_433,plain,
h2(e10) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),op2(e21,e21))) )],[refute_12_419,refute_12_432]) ).
cnf(refute_12_434,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(canonicalize,[],[normalize_12_82]) ).
cnf(refute_12_435,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_12_436,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_255,refute_12_435]) ).
cnf(refute_12_437,plain,
( h2(e13) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_12_434,refute_12_436]) ).
cnf(refute_12_438,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_12_83]) ).
cnf(refute_12_439,plain,
( h3(e11) != op2(e21,e23)
| op2(e20,e23) != h3(e11)
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h3(e11)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_12_440,plain,
( h3(e11) != op2(e21,e23)
| op2(e20,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_12_35,refute_12_439]) ).
cnf(refute_12_441,plain,
h3(e11) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_12_440,refute_12_438]) ).
cnf(refute_12_442,plain,
( e21 != op2(e21,e23)
| h3(e11) != e21
| h3(e11) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_12_443,plain,
( e21 != op2(e21,e23)
| h3(e11) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_12_55,refute_12_442]) ).
cnf(refute_12_444,plain,
e21 != op2(e21,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e21,e23)) )],[refute_12_443,refute_12_441]) ).
cnf(refute_12_445,plain,
( op2(e21,e23) != e21
| e21 = op2(e21,e23) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e21))]]) ).
cnf(refute_12_446,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e21,e23)) )],[refute_12_445,refute_12_444]) ).
cnf(refute_12_447,plain,
( h2(e13) = e21
| op2(e21,e20) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_12_437,refute_12_446]) ).
cnf(refute_12_448,plain,
( op2(e21,e22) != e21
| op2(e21,e22) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0],$fot(e22)]]) ).
cnf(refute_12_449,plain,
( op2(e21,e22) != e21
| e22 = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_12_357,refute_12_448]) ).
cnf(refute_12_450,plain,
( e22 = e21
| h2(e13) = e21
| h2(e13) = e22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_447,refute_12_449]) ).
cnf(refute_12_451,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_12_452,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_12_451,refute_12_355]) ).
cnf(refute_12_453,plain,
( h2(e13) = e21
| h2(e13) = e22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_12_450,refute_12_452]) ).
cnf(refute_12_454,plain,
( e21 != e21
| h2(e13) = e21
| h2(e13) = e22
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_12_453,refute_12_377]) ).
cnf(refute_12_455,plain,
( e21 != e21
| h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_12_454,refute_12_313]) ).
cnf(refute_12_456,plain,
( h2(e13) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_246,refute_12_455]) ).
cnf(refute_12_457,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e10) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_12_458,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| h2(e10) = op2(e21,h2(e13))
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_12_456,refute_12_457]) ).
cnf(refute_12_459,plain,
( h2(e10) = op2(e21,h2(e13))
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),h2(e13))) )],[refute_12_433,refute_12_458]) ).
cnf(refute_12_460,plain,
( h2(e10) != op2(e21,h2(e13))
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_12_461,plain,
( h2(e10) != op2(e21,h2(e13))
| h2(e10) = op2(e21,e21)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_12_456,refute_12_460]) ).
cnf(refute_12_462,plain,
( h2(e10) = op2(e21,e21)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e13))) )],[refute_12_459,refute_12_461]) ).
cnf(refute_12_463,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_12_464,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_255,refute_12_463]) ).
cnf(refute_12_465,plain,
( h2(e10) = h2(e13)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_12_462,refute_12_464]) ).
cnf(refute_12_466,plain,
( e22 != e22
| h2(e13) != e22
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[1],$fot(e22)]]) ).
cnf(refute_12_467,plain,
( e22 != e22
| h2(e10) = h2(e13)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_12_465,refute_12_466]) ).
cnf(refute_12_468,plain,
( e22 != e22
| h2(e10) = h2(e13)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_12_467,refute_12_418]) ).
cnf(refute_12_469,plain,
( h2(e10) = h2(e13)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_12_371,refute_12_468]) ).
cnf(refute_12_470,plain,
( e21 != e21
| h2(e10) = h2(e13)
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_469,refute_12_348]) ).
cnf(refute_12_471,plain,
( e21 != e21
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_470,refute_12_411]) ).
cnf(refute_12_472,plain,
h2(e10) = h2(e13),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_246,refute_12_471]) ).
cnf(refute_12_473,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_12_474,plain,
( h2(e13) = e22
| h2(e13) = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_12_465,refute_12_473]) ).
cnf(refute_12_475,plain,
( h2(e13) != e21
| h2(e13) != h2(e10)
| h2(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[0],$fot(h2(e10))]]) ).
cnf(refute_12_476,plain,
( h2(e13) != e21
| h2(e10) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_12_474,refute_12_475]) ).
cnf(refute_12_477,plain,
( h2(e10) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_12_456,refute_12_476]) ).
cnf(refute_12_478,plain,
( e22 != e22
| h2(e10) = e21
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_12_477,refute_12_466]) ).
cnf(refute_12_479,plain,
( e22 != e22
| h2(e10) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_12_478,refute_12_418]) ).
cnf(refute_12_480,plain,
( h2(e10) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_12_371,refute_12_479]) ).
cnf(refute_12_481,plain,
( e21 != e21
| h2(e10) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_480,refute_12_348]) ).
cnf(refute_12_482,plain,
( e21 != e21
| h2(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_481,refute_12_411]) ).
cnf(refute_12_483,plain,
h2(e10) = e21,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_12_246,refute_12_482]) ).
cnf(refute_12_484,plain,
( h2(e10) != e21
| h2(e10) != h2(e13)
| e21 = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),h2(e13)) ),[0],$fot(e21)]]) ).
cnf(refute_12_485,plain,
( h2(e10) != h2(e13)
| e21 = h2(e13) ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_12_483,refute_12_484]) ).
cnf(refute_12_486,plain,
e21 = h2(e13),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_12_472,refute_12_485]) ).
cnf(refute_12_487,plain,
( e21 != h2(e13)
| h2(e13) = e21 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e21)),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_12_488,plain,
h2(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h2(e13)) )],[refute_12_486,refute_12_487]) ).
cnf(refute_12_489,plain,
( h2(e13) != e21
| h2(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_12_490,plain,
( h2(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_12_488,refute_12_489]) ).
cnf(refute_12_491,plain,
( e21 = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_12_407,refute_12_490]) ).
cnf(refute_12_492,plain,
op2(e23,e21) = e22,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_12_491,refute_12_355]) ).
cnf(refute_12_493,plain,
( op2(e23,e21) != e22
| op2(e23,e21) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[0],$fot(e22)]]) ).
cnf(refute_12_494,plain,
( op2(e23,e21) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_12_492,refute_12_493]) ).
cnf(refute_12_495,plain,
( e20 = e22
| e22 = e23
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_12_405,refute_12_494]) ).
cnf(refute_12_496,plain,
( e22 = e23
| e23 = e20 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_12_495,refute_12_390]) ).
cnf(refute_12_497,plain,
e23 = e20,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_12_496,refute_12_321]) ).
cnf(refute_12_498,plain,
$false,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_12_497,refute_12_273]) ).
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,
( ( ( op1(e10,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) )
& ( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) )
& ( ( op1(e13,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e12,e13) = e12 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_13_1,plain,
( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) ),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_2,plain,
( ( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e11,e13) != e11 )
& ( op1(e11,e10) != e11
| op1(e11,e12) != e11
| op1(e13,e11) = e13 )
& ( op1(e11,e10) != e11
| op1(e11,e13) != e11
| op1(e12,e11) = e12 )
& ( op1(e11,e10) != e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e11,e12) != e11
| op1(e11,e13) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e12) != e11
| op1(e10,e11) = e10
| op1(e13,e11) = e13 )
& ( op1(e11,e13) != e11
| op1(e10,e11) = e10
| op1(e12,e11) = e12 )
& ( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ) ),
inference(clausify,[],[normalize_13_1]) ).
fof(normalize_13_3,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_4,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_13_5,plain,
op1(e11,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_6,plain,
op1(e12,e10) != op1(e12,e11),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_7,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_13_8,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_9,plain,
op1(e12,e10) != op1(e12,e12),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_10,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_13_11,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_13_10]) ).
fof(normalize_13_12,plain,
op1(e12,e10) != op1(e12,e13),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_13,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_14,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_15,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_16,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_13_10]) ).
fof(normalize_13_17,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_18,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(conjunct,[],[normalize_13_10]) ).
fof(normalize_13_19,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_20,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_21,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_22,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_13_23,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_13_22]) ).
fof(normalize_13_24,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_13_25,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_13_24]) ).
fof(normalize_13_26,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_13_24]) ).
fof(normalize_13_27,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_28,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_13_29,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_13_28]) ).
fof(normalize_13_30,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_13_24]) ).
fof(normalize_13_31,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_13_32,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_33,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_27,normalize_13_29,normalize_13_30,normalize_13_32]) ).
fof(normalize_13_34,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(conjunct,[],[normalize_13_33]) ).
fof(normalize_13_35,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_13_36,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(conjunct,[],[normalize_13_35]) ).
fof(normalize_13_37,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_13_22]) ).
fof(normalize_13_38,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_13_39,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_13_38]) ).
fof(normalize_13_40,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_13_41,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(conjunct,[],[normalize_13_40]) ).
fof(normalize_13_42,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_13_40]) ).
fof(normalize_13_43,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_13_38]) ).
fof(normalize_13_44,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_13_40]) ).
fof(normalize_13_45,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_13_28]) ).
fof(normalize_13_46,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_13_35]) ).
fof(normalize_13_47,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_13_22]) ).
fof(normalize_13_48,plain,
( ( ( op2(e20,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) )
& ( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) )
& ( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_13_49,plain,
( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) ),
inference(conjunct,[],[normalize_13_48]) ).
fof(normalize_13_50,plain,
( ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e22,e23) != e22 )
& ( op2(e22,e20) != e22
| op2(e22,e21) != e22
| op2(e23,e22) = e23 )
& ( op2(e22,e20) != e22
| op2(e22,e23) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e20) != e22
| op2(e21,e22) = e21
| op2(e23,e22) = e23 )
& ( op2(e22,e21) != e22
| op2(e22,e23) != e22
| op2(e20,e22) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e22) = e20
| op2(e23,e22) = e23 )
& ( op2(e22,e23) != e22
| op2(e20,e22) = e20
| op2(e21,e22) = e21 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ) ),
inference(clausify,[],[normalize_13_49]) ).
fof(normalize_13_51,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(conjunct,[],[normalize_13_50]) ).
fof(normalize_13_52,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_13_22]) ).
fof(normalize_13_53,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_13_54,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
inference(conjunct,[],[normalize_13_53]) ).
fof(normalize_13_55,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_13_56,plain,
e20 != e23,
inference(conjunct,[],[normalize_13_55]) ).
fof(normalize_13_57,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_13_22]) ).
fof(normalize_13_58,plain,
e20 != e21,
inference(conjunct,[],[normalize_13_55]) ).
fof(normalize_13_59,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_13_22]) ).
fof(normalize_13_60,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_61,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_13_38]) ).
fof(normalize_13_62,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_13_22]) ).
fof(normalize_13_63,plain,
h4(op1(e12,e13)) = op2(h4(e12),h4(e13)),
inference(conjunct,[],[normalize_13_33]) ).
fof(normalize_13_64,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_13_40]) ).
fof(normalize_13_65,plain,
op2(e20,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_13_22]) ).
fof(normalize_13_66,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(conjunct,[],[normalize_13_33]) ).
fof(normalize_13_67,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_13_68,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_13_67]) ).
fof(normalize_13_69,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_13_70,plain,
e10 != e13,
inference(conjunct,[],[normalize_13_69]) ).
fof(normalize_13_71,plain,
e11 != e13,
inference(conjunct,[],[normalize_13_69]) ).
fof(normalize_13_72,plain,
e20 != e22,
inference(conjunct,[],[normalize_13_55]) ).
fof(normalize_13_73,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_74,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_75,plain,
op1(e11,e11) != op1(e11,e12),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_76,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_13_33]) ).
fof(normalize_13_77,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_78,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_79,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_80,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_13_33]) ).
fof(normalize_13_81,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_82,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_83,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_84,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_13_22]) ).
fof(normalize_13_85,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_13_53]) ).
fof(normalize_13_86,plain,
e21 != e23,
inference(conjunct,[],[normalize_13_55]) ).
fof(normalize_13_87,plain,
h4(op1(e12,e11)) = op2(h4(e12),h4(e11)),
inference(conjunct,[],[normalize_13_33]) ).
fof(normalize_13_88,plain,
e10 != e11,
inference(conjunct,[],[normalize_13_69]) ).
fof(normalize_13_89,plain,
op1(e13,e10) != op1(e13,e11),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_90,plain,
( ( op1(e10,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) ),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_91,plain,
( ( op1(e10,e11) != e10
| op1(e10,e12) != e10
| op1(e10,e13) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e12) != e10
| op1(e13,e10) = e13 )
& ( op1(e10,e11) != e10
| op1(e10,e13) != e10
| op1(e12,e10) = e12 )
& ( op1(e10,e11) != e10
| op1(e12,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e10,e12) != e10
| op1(e10,e13) != e10
| op1(e11,e10) = e11 )
& ( op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 )
& ( op1(e10,e13) != e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12 )
& ( op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 ) ),
inference(clausify,[],[normalize_13_90]) ).
fof(normalize_13_92,plain,
( op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_13_91]) ).
fof(normalize_13_93,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_13_67]) ).
fof(normalize_13_94,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_13_33]) ).
fof(normalize_13_95,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_13_28]) ).
fof(normalize_13_96,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_97,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_13_67]) ).
fof(normalize_13_98,plain,
( op1(e11,e10) != e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_99,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_100,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(conjunct,[],[normalize_13_67]) ).
fof(normalize_13_101,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(conjunct,[],[normalize_13_67]) ).
fof(normalize_13_102,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_103,plain,
e11 != e12,
inference(conjunct,[],[normalize_13_69]) ).
fof(normalize_13_104,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(conjunct,[],[normalize_13_67]) ).
fof(normalize_13_105,plain,
e10 != e12,
inference(conjunct,[],[normalize_13_69]) ).
cnf(refute_13_0,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_13_3]) ).
cnf(refute_13_1,plain,
op1(e11,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_13_5]) ).
cnf(refute_13_2,plain,
op1(e12,e10) != op1(e12,e11),
inference(canonicalize,[],[normalize_13_6]) ).
cnf(refute_13_3,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_13_8]) ).
cnf(refute_13_4,plain,
op1(e12,e10) != op1(e12,e12),
inference(canonicalize,[],[normalize_13_9]) ).
cnf(refute_13_5,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_13_11]) ).
cnf(refute_13_6,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_13_7,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_13_8,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_13_6,refute_13_7]) ).
cnf(refute_13_9,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_13_10,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_13_5,refute_13_9]) ).
cnf(refute_13_11,plain,
( op1(e12,e10) != e13
| op1(e12,e12) != e13
| op1(e12,e10) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_13_12,plain,
( op1(e12,e10) != e13
| op1(e12,e10) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_10,refute_13_11]) ).
cnf(refute_13_13,plain,
op1(e12,e10) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_13_12,refute_13_4]) ).
cnf(refute_13_14,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_13_3,refute_13_13]) ).
cnf(refute_13_15,plain,
op1(e12,e10) != op1(e12,e13),
inference(canonicalize,[],[normalize_13_12]) ).
cnf(refute_13_16,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_13_13]) ).
cnf(refute_13_17,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_13_14]) ).
cnf(refute_13_18,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_13_19,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_10,refute_13_18]) ).
cnf(refute_13_20,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_13_19,refute_13_17]) ).
cnf(refute_13_21,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_13_22,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_13_21,refute_13_20]) ).
cnf(refute_13_23,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_13_16,refute_13_22]) ).
cnf(refute_13_24,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_13_15]) ).
cnf(refute_13_25,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_13_16]) ).
cnf(refute_13_26,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_13_27,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_13_28,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_13_26,refute_13_27]) ).
cnf(refute_13_29,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_10,refute_13_28]) ).
cnf(refute_13_30,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_13_31,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_13_32,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_13_30,refute_13_31]) ).
cnf(refute_13_33,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_10,refute_13_32]) ).
cnf(refute_13_34,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_13_35,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_13_8,refute_13_34]) ).
cnf(refute_13_36,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_13_37,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_13_33,refute_13_36]) ).
cnf(refute_13_38,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_13_29,refute_13_37]) ).
cnf(refute_13_39,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_13_40,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_13_38,refute_13_39]) ).
cnf(refute_13_41,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_13_25,refute_13_40]) ).
cnf(refute_13_42,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_13_43,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_13_41,refute_13_42]) ).
cnf(refute_13_44,plain,
( op1(e12,e13) != e10
| op1(e13,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_13_45,plain,
( op1(e12,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_13_43,refute_13_44]) ).
cnf(refute_13_46,plain,
op1(e12,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_13_45,refute_13_24]) ).
cnf(refute_13_47,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_13_23,refute_13_46]) ).
cnf(refute_13_48,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_13_17]) ).
cnf(refute_13_49,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(canonicalize,[],[normalize_13_18]) ).
cnf(refute_13_50,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = e10 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e12,e12),op1(e12,e12))))]]) ).
cnf(refute_13_51,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_13_25,refute_13_50]) ).
cnf(refute_13_52,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_13_53,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_13_54,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_13_52,refute_13_53]) ).
cnf(refute_13_55,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e10) )],[refute_13_51,refute_13_54]) ).
cnf(refute_13_56,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(e10,op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,op1(e12,e12))) ),[0],$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_13_57,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_13_55,refute_13_56]) ).
cnf(refute_13_58,plain,
e11 = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(e11,op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_13_49,refute_13_57]) ).
cnf(refute_13_59,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_13_60,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_13_61,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_13_59,refute_13_60]) ).
cnf(refute_13_62,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_10,refute_13_61]) ).
cnf(refute_13_63,plain,
( e11 != op1(e10,op1(e12,e12))
| op1(e10,op1(e12,e12)) != op1(e10,e13)
| e11 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e13)) ),[0],$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_13_64,plain,
( e11 != op1(e10,op1(e12,e12))
| e11 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_13_62,refute_13_63]) ).
cnf(refute_13_65,plain,
e11 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e11,op1(e10,op1(e12,e12))) )],[refute_13_58,refute_13_64]) ).
cnf(refute_13_66,plain,
( e11 != op1(e10,e13)
| op1(e10,e13) = e11 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_13_67,plain,
op1(e10,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_13_65,refute_13_66]) ).
cnf(refute_13_68,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_13_69,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_13_67,refute_13_68]) ).
cnf(refute_13_70,plain,
e11 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_13_69,refute_13_48]) ).
cnf(refute_13_71,plain,
( op1(e12,e13) != e11
| e11 = op1(e12,e13) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e11))]]) ).
cnf(refute_13_72,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_13_71,refute_13_70]) ).
cnf(refute_13_73,plain,
op1(e12,e13) = e12,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_13_47,refute_13_72]) ).
cnf(refute_13_74,plain,
( op1(e12,e10) != e12
| op1(e12,e13) != e12
| op1(e12,e10) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_13_75,plain,
( op1(e12,e10) != e12
| op1(e12,e10) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_13_73,refute_13_74]) ).
cnf(refute_13_76,plain,
op1(e12,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e13)) )],[refute_13_75,refute_13_15]) ).
cnf(refute_13_77,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_13_14,refute_13_76]) ).
cnf(refute_13_78,plain,
( e10 != op1(e12,e11)
| op1(e12,e10) != e10
| op1(e12,e10) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_13_79,plain,
( e10 != op1(e12,e11)
| op1(e12,e10) = e11
| op1(e12,e10) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_13_77,refute_13_78]) ).
cnf(refute_13_80,plain,
( e10 != op1(e12,e11)
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e11)) )],[refute_13_79,refute_13_2]) ).
cnf(refute_13_81,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(canonicalize,[],[normalize_13_19]) ).
cnf(refute_13_82,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_13_20]) ).
cnf(refute_13_83,plain,
( op1(e12,e11) != e13
| op1(e12,e12) != e13
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_13_84,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_10,refute_13_83]) ).
cnf(refute_13_85,plain,
op1(e12,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_13_84,refute_13_82]) ).
cnf(refute_13_86,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_13_81,refute_13_85]) ).
cnf(refute_13_87,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_13_21]) ).
cnf(refute_13_88,plain,
( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_13_89,plain,
( op1(e12,e11) != e12
| op1(e12,e11) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_13_73,refute_13_88]) ).
cnf(refute_13_90,plain,
op1(e12,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_13_89,refute_13_87]) ).
cnf(refute_13_91,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_13_86,refute_13_90]) ).
cnf(refute_13_92,plain,
( e10 != e10
| op1(e12,e11) != e10
| e10 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_13_93,plain,
( e10 != e10
| e10 = op1(e12,e11)
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_13_91,refute_13_92]) ).
cnf(refute_13_94,plain,
( e10 != e10
| op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(e10,op1(e12,e11)) )],[refute_13_93,refute_13_80]) ).
cnf(refute_13_95,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_13_96,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_13_95,refute_13_94]) ).
cnf(refute_13_97,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_13_23]) ).
cnf(refute_13_98,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_13_25]) ).
cnf(refute_13_99,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_13_100,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_13_98,refute_13_99]) ).
cnf(refute_13_101,plain,
( h2(e13) != op2(e23,e21)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_13_102,plain,
( h2(e13) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_100,refute_13_101]) ).
cnf(refute_13_103,plain,
h2(e13) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_13_102,refute_13_97]) ).
cnf(refute_13_104,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_13_26]) ).
cnf(refute_13_105,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).
cnf(refute_13_106,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_13_107,plain,
( op2(e21,e21) != h2(e13)
| op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_13_105,refute_13_106]) ).
cnf(refute_13_108,plain,
op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_100,refute_13_107]) ).
cnf(refute_13_109,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_13_110,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),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(e13))]]) ).
cnf(refute_13_111,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_13_109,refute_13_110]) ).
cnf(refute_13_112,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_100,refute_13_111]) ).
cnf(refute_13_113,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_13_114,plain,
( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
| op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_13_112,refute_13_113]) ).
cnf(refute_13_115,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_13_108,refute_13_114]) ).
cnf(refute_13_116,plain,
( h2(e10) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
| h2(e10) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_13_117,plain,
( h2(e10) != op2(op2(e21,e21),op2(e21,e21))
| h2(e10) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_13_115,refute_13_116]) ).
cnf(refute_13_118,plain,
h2(e10) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),op2(e21,e21))) )],[refute_13_104,refute_13_117]) ).
cnf(refute_13_119,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(canonicalize,[],[normalize_13_34]) ).
cnf(refute_13_120,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(canonicalize,[],[normalize_13_36]) ).
cnf(refute_13_121,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_13_37]) ).
cnf(refute_13_122,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_13_39]) ).
cnf(refute_13_123,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_13_124,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_13_122,refute_13_123]) ).
cnf(refute_13_125,plain,
( op2(e22,e20) != e23
| op2(e22,e22) != e23
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_13_126,plain,
( op2(e22,e20) != e23
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_124,refute_13_125]) ).
cnf(refute_13_127,plain,
op2(e22,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_13_126,refute_13_121]) ).
cnf(refute_13_128,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_13_120,refute_13_127]) ).
cnf(refute_13_129,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(canonicalize,[],[normalize_13_41]) ).
cnf(refute_13_130,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_13_42]) ).
cnf(refute_13_131,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = h4(e10) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_13_132,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_13_130,refute_13_131]) ).
cnf(refute_13_133,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)))]]) ).
cnf(refute_13_134,plain,
( op2(op2(e23,e23),op2(e23,e23)) != h4(e10)
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(h4(e10))]]) ).
cnf(refute_13_135,plain,
( op2(op2(e23,e23),op2(e23,e23)) != h4(e10)
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) )],[refute_13_133,refute_13_134]) ).
cnf(refute_13_136,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h4(e10)) )],[refute_13_132,refute_13_135]) ).
cnf(refute_13_137,plain,
( h4(e11) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) != op2(h4(e10),op2(e23,e23))
| h4(e11) = op2(h4(e10),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h4(e10),op2(e23,e23))) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)))]]) ).
cnf(refute_13_138,plain,
( h4(e11) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| h4(e11) = op2(h4(e10),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) )],[refute_13_136,refute_13_137]) ).
cnf(refute_13_139,plain,
h4(e11) = op2(h4(e10),op2(e23,e23)),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) )],[refute_13_129,refute_13_138]) ).
cnf(refute_13_140,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_13_43]) ).
cnf(refute_13_141,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_13_44]) ).
cnf(refute_13_142,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_13_143,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_13_141,refute_13_142]) ).
cnf(refute_13_144,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_13_145,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_13_146,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_13_144,refute_13_145]) ).
cnf(refute_13_147,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_124,refute_13_146]) ).
cnf(refute_13_148,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_13_149,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_13_150,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_13_148,refute_13_149]) ).
cnf(refute_13_151,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_124,refute_13_150]) ).
cnf(refute_13_152,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_13_153,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_13_151,refute_13_152]) ).
cnf(refute_13_154,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_13_147,refute_13_153]) ).
cnf(refute_13_155,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_13_156,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_13_154,refute_13_155]) ).
cnf(refute_13_157,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_143,refute_13_156]) ).
cnf(refute_13_158,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_13_159,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_13_157,refute_13_158]) ).
cnf(refute_13_160,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_13_140,refute_13_159]) ).
cnf(refute_13_161,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_13_162,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_13_160,refute_13_161]) ).
cnf(refute_13_163,plain,
( h4(e13) != e20
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_13_164,plain,
( h4(e13) != e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_143,refute_13_163]) ).
cnf(refute_13_165,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_13_162,refute_13_164]) ).
cnf(refute_13_166,plain,
op2(h1(e13),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e23,e23)))]]) ).
cnf(refute_13_167,plain,
( op2(e23,e23) != e20
| op2(h1(e13),op2(e23,e23)) != op2(h1(e13),op2(e23,e23))
| op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_13_168,plain,
( op2(e23,e23) != e20
| op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) )],[refute_13_166,refute_13_167]) ).
cnf(refute_13_169,plain,
op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_165,refute_13_168]) ).
cnf(refute_13_170,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_13_45]) ).
cnf(refute_13_171,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_13_172,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_13_170,refute_13_171]) ).
cnf(refute_13_173,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_13_174,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_13_175,plain,
( op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_13_173,refute_13_174]) ).
cnf(refute_13_176,plain,
op2(e20,op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_165,refute_13_175]) ).
cnf(refute_13_177,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_13_178,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,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(e20)]]) ).
cnf(refute_13_179,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_13_177,refute_13_178]) ).
cnf(refute_13_180,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_165,refute_13_179]) ).
cnf(refute_13_181,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_13_182,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_13_180,refute_13_181]) ).
cnf(refute_13_183,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_13_176,refute_13_182]) ).
cnf(refute_13_184,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_13_185,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_13_183,refute_13_184]) ).
cnf(refute_13_186,plain,
op2(op2(e23,e23),op2(e23,e23)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_172,refute_13_185]) ).
cnf(refute_13_187,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_13_188,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h1(e13)) )],[refute_13_186,refute_13_187]) ).
cnf(refute_13_189,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_13_130,refute_13_188]) ).
cnf(refute_13_190,plain,
op2(h4(e10),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(h4(e10),op2(e23,e23)))]]) ).
cnf(refute_13_191,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),op2(e23,e23)) != op2(h4(e10),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_13_192,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) )],[refute_13_190,refute_13_191]) ).
cnf(refute_13_193,plain,
op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_13_189,refute_13_192]) ).
cnf(refute_13_194,plain,
( op2(h1(e13),op2(e23,e23)) != op2(h1(e13),e20)
| op2(h4(e10),op2(e23,e23)) != op2(h1(e13),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(h4(e10),op2(e23,e23)))),bind(Y,$fot(op2(h1(e13),op2(e23,e23)))),bind(Z,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_13_195,plain,
( op2(h1(e13),op2(e23,e23)) != op2(h1(e13),e20)
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) )],[refute_13_193,refute_13_194]) ).
cnf(refute_13_196,plain,
op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),e20)) )],[refute_13_169,refute_13_195]) ).
cnf(refute_13_197,plain,
( h4(e11) != op2(h4(e10),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) != op2(h1(e13),e20)
| h4(e11) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h1(e13),e20)) ),[0],$fot(op2(h4(e10),op2(e23,e23)))]]) ).
cnf(refute_13_198,plain,
( h4(e11) != op2(h4(e10),op2(e23,e23))
| h4(e11) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h1(e13),e20)) )],[refute_13_196,refute_13_197]) ).
cnf(refute_13_199,plain,
h4(e11) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e10),op2(e23,e23))) )],[refute_13_139,refute_13_198]) ).
cnf(refute_13_200,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_13_46]) ).
cnf(refute_13_201,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_13_202,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_172,refute_13_201]) ).
cnf(refute_13_203,plain,
( h1(e13) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_13_200,refute_13_202]) ).
cnf(refute_13_204,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_13_205,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_172,refute_13_204]) ).
cnf(refute_13_206,plain,
( h1(e13) = e20
| h1(e13) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_13_203,refute_13_205]) ).
cnf(refute_13_207,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_13_208,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_172,refute_13_207]) ).
cnf(refute_13_209,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_13_206,refute_13_208]) ).
cnf(refute_13_210,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_13_211,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_172,refute_13_210]) ).
cnf(refute_13_212,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_13_209,refute_13_211]) ).
cnf(refute_13_213,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_13_47]) ).
cnf(refute_13_214,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_13_215,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_172,refute_13_214]) ).
cnf(refute_13_216,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_13_215,refute_13_213]) ).
cnf(refute_13_217,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e23,e22) = e23 ),
inference(canonicalize,[],[normalize_13_51]) ).
cnf(refute_13_218,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_13_52]) ).
cnf(refute_13_219,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_13_220,plain,
( e23 != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_124,refute_13_219]) ).
cnf(refute_13_221,plain,
e23 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_13_220,refute_13_218]) ).
cnf(refute_13_222,plain,
( op2(e23,e22) != e23
| e23 = op2(e23,e22) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_13_223,plain,
op2(e23,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e22)) )],[refute_13_222,refute_13_221]) ).
cnf(refute_13_224,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_13_217,refute_13_223]) ).
cnf(refute_13_225,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
inference(canonicalize,[],[normalize_13_54]) ).
cnf(refute_13_226,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).
cnf(refute_13_227,plain,
( op2(e22,e22) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_124,refute_13_226]) ).
cnf(refute_13_228,plain,
( e23 = e20
| op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_13_225,refute_13_227]) ).
cnf(refute_13_229,plain,
e20 != e23,
inference(canonicalize,[],[normalize_13_56]) ).
cnf(refute_13_230,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_13_231,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_13_230,refute_13_229]) ).
cnf(refute_13_232,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_13_228,refute_13_231]) ).
cnf(refute_13_233,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_13_57]) ).
cnf(refute_13_234,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_13_235,plain,
( op2(e23,e22) != h4(e13)
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_143,refute_13_234]) ).
cnf(refute_13_236,plain,
op2(e23,e22) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_13_235,refute_13_233]) ).
cnf(refute_13_237,plain,
( h4(e13) != e20
| op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_13_238,plain,
( op2(e23,e22) != e20
| op2(e23,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_13_162,refute_13_237]) ).
cnf(refute_13_239,plain,
op2(e23,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),h4(e13)) )],[refute_13_238,refute_13_236]) ).
cnf(refute_13_240,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_13_232,refute_13_239]) ).
cnf(refute_13_241,plain,
( op2(e21,e22) != e20
| op2(e21,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e21) ),[0],$fot(e20)]]) ).
cnf(refute_13_242,plain,
( op2(e21,e22) != e21
| e20 = e21
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_13_240,refute_13_241]) ).
cnf(refute_13_243,plain,
( e20 = e21
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_13_224,refute_13_242]) ).
cnf(refute_13_244,plain,
e20 != e21,
inference(canonicalize,[],[normalize_13_58]) ).
cnf(refute_13_245,plain,
op2(e20,e22) = e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_13_243,refute_13_244]) ).
cnf(refute_13_246,plain,
( h1(e13) != e20
| op2(e20,e22) != e20
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_13_247,plain,
( h1(e13) != e20
| h1(e13) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_13_245,refute_13_246]) ).
cnf(refute_13_248,plain,
h1(e13) != e20,
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_13_247,refute_13_216]) ).
cnf(refute_13_249,plain,
( h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_13_212,refute_13_248]) ).
cnf(refute_13_250,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_13_59]) ).
cnf(refute_13_251,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_13_252,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_172,refute_13_251]) ).
cnf(refute_13_253,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_13_60]) ).
cnf(refute_13_254,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_13_255,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_13_256,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_13_254,refute_13_255]) ).
cnf(refute_13_257,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_124,refute_13_256]) ).
cnf(refute_13_258,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = e20 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_13_259,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_13_140,refute_13_258]) ).
cnf(refute_13_260,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_13_261,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) ),[1,0],$fot(e20)]]) ).
cnf(refute_13_262,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_13_260,refute_13_261]) ).
cnf(refute_13_263,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e20) )],[refute_13_259,refute_13_262]) ).
cnf(refute_13_264,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))),bind(Y,$fot(op2(e20,op2(e22,e22)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_13_265,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_13_263,refute_13_264]) ).
cnf(refute_13_266,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_13_257,refute_13_265]) ).
cnf(refute_13_267,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,e23)
| h3(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e20,e23)) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_13_268,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| h3(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,e23)) )],[refute_13_266,refute_13_267]) ).
cnf(refute_13_269,plain,
h3(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_13_253,refute_13_268]) ).
cnf(refute_13_270,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_13_271,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_13_269,refute_13_270]) ).
cnf(refute_13_272,plain,
( h1(e13) != h3(e11)
| op2(e20,e23) != h3(e11)
| h1(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_13_273,plain,
( h1(e13) != h3(e11)
| h1(e13) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_13_271,refute_13_272]) ).
cnf(refute_13_274,plain,
( h1(e13) != h3(e11)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_13_273,refute_13_252]) ).
cnf(refute_13_275,plain,
h1(e13) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_13_274,refute_13_250]) ).
cnf(refute_13_276,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_13_61]) ).
cnf(refute_13_277,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,op2(e22,e22))) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_13_278,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_13_263,refute_13_277]) ).
cnf(refute_13_279,plain,
e21 = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(e21,op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_13_276,refute_13_278]) ).
cnf(refute_13_280,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(e20,op2(e22,e22)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_13_281,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_13_257,refute_13_280]) ).
cnf(refute_13_282,plain,
op2(e20,op2(e22,e22)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_13_271,refute_13_281]) ).
cnf(refute_13_283,plain,
( e21 != op2(e20,op2(e22,e22))
| op2(e20,op2(e22,e22)) != h3(e11)
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[0],$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_13_284,plain,
( e21 != op2(e20,op2(e22,e22))
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),h3(e11)) )],[refute_13_282,refute_13_283]) ).
cnf(refute_13_285,plain,
e21 = h3(e11),
inference(resolve,[$cnf( $equal(e21,op2(e20,op2(e22,e22))) )],[refute_13_279,refute_13_284]) ).
cnf(refute_13_286,plain,
( e21 != h3(e11)
| h3(e11) = e21 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e21)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_13_287,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_13_285,refute_13_286]) ).
cnf(refute_13_288,plain,
( h1(e13) != e21
| h3(e11) != e21
| h1(e13) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_13_289,plain,
( h1(e13) != e21
| h1(e13) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_13_287,refute_13_288]) ).
cnf(refute_13_290,plain,
h1(e13) != e21,
inference(resolve,[$cnf( $equal(h1(e13),h3(e11)) )],[refute_13_289,refute_13_275]) ).
cnf(refute_13_291,plain,
( h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_13_249,refute_13_290]) ).
cnf(refute_13_292,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_13_62]) ).
cnf(refute_13_293,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_13_294,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_172,refute_13_293]) ).
cnf(refute_13_295,plain,
h1(e13) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_13_294,refute_13_292]) ).
cnf(refute_13_296,plain,
h4(op1(e12,e13)) = op2(h4(e12),h4(e13)),
inference(canonicalize,[],[normalize_13_63]) ).
cnf(refute_13_297,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_13_298,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_13_299,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_13_297,refute_13_298]) ).
cnf(refute_13_300,plain,
op2(e23,h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_13_162,refute_13_299]) ).
cnf(refute_13_301,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_13_64]) ).
cnf(refute_13_302,plain,
op2(h4(e12),h4(e13)) = op2(h4(e12),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_13_303,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_13_304,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) )],[refute_13_302,refute_13_303]) ).
cnf(refute_13_305,plain,
op2(h4(e12),h4(e13)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_301,refute_13_304]) ).
cnf(refute_13_306,plain,
( op2(e23,h4(e13)) != op2(e23,e20)
| op2(h4(e12),h4(e13)) != op2(e23,h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,e20) ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e23,h4(e13)))),bind(Z,$fot(op2(e23,e20)))]]) ).
cnf(refute_13_307,plain,
( op2(e23,h4(e13)) != op2(e23,e20)
| op2(h4(e12),h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,h4(e13))) )],[refute_13_305,refute_13_306]) ).
cnf(refute_13_308,plain,
op2(h4(e12),h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e20)) )],[refute_13_300,refute_13_307]) ).
cnf(refute_13_309,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) != op2(e23,e20)
| h4(op1(e12,e13)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(e23,e20)) ),[0],$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_13_310,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,e20)) )],[refute_13_308,refute_13_309]) ).
cnf(refute_13_311,plain,
h4(op1(e12,e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) )],[refute_13_296,refute_13_310]) ).
cnf(refute_13_312,plain,
h4(op1(e12,e13)) = h4(op1(e12,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e13)))]]) ).
cnf(refute_13_313,plain,
( h4(op1(e12,e13)) != h4(op1(e12,e13))
| op1(e12,e13) != e12
| h4(op1(e12,e13)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_13_314,plain,
( op1(e12,e13) != e12
| h4(op1(e12,e13)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) )],[refute_13_312,refute_13_313]) ).
cnf(refute_13_315,plain,
h4(op1(e12,e13)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_13_73,refute_13_314]) ).
cnf(refute_13_316,plain,
( h4(e12) != e23
| h4(op1(e12,e13)) != h4(e12)
| h4(op1(e12,e13)) = e23 ),
inference(subst,[],[refute_13_35:[bind(X,$fot(h4(op1(e12,e13)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).
cnf(refute_13_317,plain,
( h4(e12) != e23
| h4(op1(e12,e13)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(e12)) )],[refute_13_315,refute_13_316]) ).
cnf(refute_13_318,plain,
h4(op1(e12,e13)) = e23,
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_301,refute_13_317]) ).
cnf(refute_13_319,plain,
( h4(op1(e12,e13)) != e23
| h4(op1(e12,e13)) != op2(e23,e20)
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e20)) ),[0],$fot(e23)]]) ).
cnf(refute_13_320,plain,
( h4(op1(e12,e13)) != op2(e23,e20)
| e23 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),e23) )],[refute_13_318,refute_13_319]) ).
cnf(refute_13_321,plain,
e23 = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e20)) )],[refute_13_311,refute_13_320]) ).
cnf(refute_13_322,plain,
( e23 != op2(e23,e20)
| op2(e23,e20) = e23 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e23)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_13_323,plain,
op2(e23,e20) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_13_321,refute_13_322]) ).
cnf(refute_13_324,plain,
( h1(e13) != e23
| op2(e23,e20) != e23
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_13_325,plain,
( h1(e13) != e23
| h1(e13) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_13_323,refute_13_324]) ).
cnf(refute_13_326,plain,
h1(e13) != e23,
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_13_325,refute_13_295]) ).
cnf(refute_13_327,plain,
h1(e13) = e22,
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_13_291,refute_13_326]) ).
cnf(refute_13_328,plain,
op2(h1(e13),e20) = op2(h1(e13),e20),
introduced(tautology,[refl,[$fot(op2(h1(e13),e20))]]) ).
cnf(refute_13_329,plain,
( h1(e13) != e22
| op2(h1(e13),e20) != op2(h1(e13),e20)
| op2(h1(e13),e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) ),[1,0],$fot(e22)]]) ).
cnf(refute_13_330,plain,
( h1(e13) != e22
| op2(h1(e13),e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) )],[refute_13_328,refute_13_329]) ).
cnf(refute_13_331,plain,
op2(h1(e13),e20) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_13_327,refute_13_330]) ).
cnf(refute_13_332,plain,
( h4(e11) != op2(h1(e13),e20)
| op2(h1(e13),e20) != op2(e22,e20)
| h4(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(e22,e20)) ),[0],$fot(op2(h1(e13),e20))]]) ).
cnf(refute_13_333,plain,
( h4(e11) != op2(h1(e13),e20)
| h4(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e22,e20)) )],[refute_13_331,refute_13_332]) ).
cnf(refute_13_334,plain,
h4(e11) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(e11),op2(h1(e13),e20)) )],[refute_13_199,refute_13_333]) ).
cnf(refute_13_335,plain,
( h4(e11) != op2(e22,e20)
| op2(e22,e20) = h4(e11) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_13_336,plain,
op2(e22,e20) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e22,e20)) )],[refute_13_334,refute_13_335]) ).
cnf(refute_13_337,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != h4(e11)
| h4(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(h4(e11))]]) ).
cnf(refute_13_338,plain,
( op2(e22,e20) != e20
| h4(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h4(e11)) )],[refute_13_336,refute_13_337]) ).
cnf(refute_13_339,plain,
( h4(e11) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_13_128,refute_13_338]) ).
cnf(refute_13_340,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != h4(e11)
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[0],$fot(h4(e11))]]) ).
cnf(refute_13_341,plain,
( op2(e22,e20) != e21
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h4(e11)) )],[refute_13_336,refute_13_340]) ).
cnf(refute_13_342,plain,
( h4(e11) = e20
| h4(e11) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_13_339,refute_13_341]) ).
cnf(refute_13_343,plain,
( op2(e22,e20) != e22
| op2(e22,e20) != h4(e11)
| h4(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(h4(e11))]]) ).
cnf(refute_13_344,plain,
( op2(e22,e20) != e22
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h4(e11)) )],[refute_13_336,refute_13_343]) ).
cnf(refute_13_345,plain,
( h4(e11) = e20
| h4(e11) = e21
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_13_342,refute_13_344]) ).
cnf(refute_13_346,plain,
op2(e20,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_13_65]) ).
cnf(refute_13_347,plain,
( h1(e13) != op2(e22,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_13_348,plain,
( h1(e13) != op2(e22,e20)
| op2(e20,e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_172,refute_13_347]) ).
cnf(refute_13_349,plain,
h1(e13) != op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e22,e20)) )],[refute_13_348,refute_13_346]) ).
cnf(refute_13_350,plain,
( e22 != op2(e22,e20)
| h1(e13) != e22
| h1(e13) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_13_351,plain,
( e22 != op2(e22,e20)
| h1(e13) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_13_327,refute_13_350]) ).
cnf(refute_13_352,plain,
( e22 != h4(e11)
| op2(e22,e20) != h4(e11)
| e22 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e20)) ),[1],$fot(h4(e11))]]) ).
cnf(refute_13_353,plain,
( e22 != h4(e11)
| e22 = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h4(e11)) )],[refute_13_336,refute_13_352]) ).
cnf(refute_13_354,plain,
( e22 != h4(e11)
| h1(e13) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e20)) )],[refute_13_353,refute_13_351]) ).
cnf(refute_13_355,plain,
e22 != h4(e11),
inference(resolve,[$cnf( $equal(h1(e13),op2(e22,e20)) )],[refute_13_354,refute_13_349]) ).
cnf(refute_13_356,plain,
( h4(e11) != e22
| e22 = h4(e11) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(h4(e11))),bind(Y,$fot(e22))]]) ).
cnf(refute_13_357,plain,
h4(e11) != e22,
inference(resolve,[$cnf( $equal(e22,h4(e11)) )],[refute_13_356,refute_13_355]) ).
cnf(refute_13_358,plain,
( h4(e11) = e20
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),e22) )],[refute_13_345,refute_13_357]) ).
cnf(refute_13_359,plain,
( h4(e11) != e21
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e11)) = op2(e21,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(e21)]]) ).
cnf(refute_13_360,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(e11) = e20
| h4(op1(e11,e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_358,refute_13_359]) ).
cnf(refute_13_361,plain,
( h4(e11) = e20
| h4(op1(e11,e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_13_119,refute_13_360]) ).
cnf(refute_13_362,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(canonicalize,[],[normalize_13_66]) ).
cnf(refute_13_363,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_13_364,plain,
( h4(e13) != e20
| op2(h4(e11),h4(e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) = op2(h4(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_13_365,plain,
( h4(e13) != e20
| op2(h4(e11),h4(e13)) = op2(h4(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) )],[refute_13_363,refute_13_364]) ).
cnf(refute_13_366,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_13_162,refute_13_365]) ).
cnf(refute_13_367,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) != op2(h4(e11),e20)
| h4(op1(e11,e13)) = op2(h4(e11),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(h4(e11),e20)) ),[0],$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_13_368,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e13)) = op2(h4(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),e20)) )],[refute_13_366,refute_13_367]) ).
cnf(refute_13_369,plain,
h4(op1(e11,e13)) = op2(h4(e11),e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_13_362,refute_13_368]) ).
cnf(refute_13_370,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_13_68]) ).
cnf(refute_13_371,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_13_370,refute_13_22]) ).
cnf(refute_13_372,plain,
( op1(e10,e13) != e11
| op1(e10,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_13_373,plain,
( op1(e10,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_13_67,refute_13_372]) ).
cnf(refute_13_374,plain,
( e11 = e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_13_371,refute_13_373]) ).
cnf(refute_13_375,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_13_376,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_13_43,refute_13_375]) ).
cnf(refute_13_377,plain,
( e10 = e13
| e11 = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_13_374,refute_13_376]) ).
cnf(refute_13_378,plain,
e10 != e13,
inference(canonicalize,[],[normalize_13_70]) ).
cnf(refute_13_379,plain,
( e11 = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_13_377,refute_13_378]) ).
cnf(refute_13_380,plain,
e11 != e13,
inference(canonicalize,[],[normalize_13_71]) ).
cnf(refute_13_381,plain,
op1(e11,e13) = e13,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_13_379,refute_13_380]) ).
cnf(refute_13_382,plain,
h4(op1(e11,e13)) = h4(op1(e11,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e13)))]]) ).
cnf(refute_13_383,plain,
( h4(op1(e11,e13)) != h4(op1(e11,e13))
| op1(e11,e13) != e13
| h4(op1(e11,e13)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) ),[1,0],$fot(e13)]]) ).
cnf(refute_13_384,plain,
( op1(e11,e13) != e13
| h4(op1(e11,e13)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) )],[refute_13_382,refute_13_383]) ).
cnf(refute_13_385,plain,
h4(op1(e11,e13)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_13_381,refute_13_384]) ).
cnf(refute_13_386,plain,
( h4(e13) != e20
| h4(op1(e11,e13)) != h4(e13)
| h4(op1(e11,e13)) = e20 ),
inference(subst,[],[refute_13_35:[bind(X,$fot(h4(op1(e11,e13)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_13_387,plain,
( h4(e13) != e20
| h4(op1(e11,e13)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(e13)) )],[refute_13_385,refute_13_386]) ).
cnf(refute_13_388,plain,
h4(op1(e11,e13)) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_13_162,refute_13_387]) ).
cnf(refute_13_389,plain,
( h4(op1(e11,e13)) != e20
| h4(op1(e11,e13)) != op2(h4(e11),e20)
| e20 = op2(h4(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),e20)) ),[0],$fot(e20)]]) ).
cnf(refute_13_390,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e20)
| e20 = op2(h4(e11),e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),e20) )],[refute_13_388,refute_13_389]) ).
cnf(refute_13_391,plain,
e20 = op2(h4(e11),e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),e20)) )],[refute_13_369,refute_13_390]) ).
cnf(refute_13_392,plain,
( e20 != op2(h4(e11),e20)
| h4(e11) != e20
| e20 = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(h4(e11),e20)) ),[1,0],$fot(e20)]]) ).
cnf(refute_13_393,plain,
( e20 != op2(h4(e11),e20)
| e20 = op2(e20,e20)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_13_358,refute_13_392]) ).
cnf(refute_13_394,plain,
( e20 = op2(e20,e20)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(e20,op2(h4(e11),e20)) )],[refute_13_391,refute_13_393]) ).
cnf(refute_13_395,plain,
( h1(e13) != e22
| h1(e13) != op2(e20,e20)
| e22 = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(e20,e20)) ),[0],$fot(e22)]]) ).
cnf(refute_13_396,plain,
( h1(e13) != op2(e20,e20)
| e22 = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_13_327,refute_13_395]) ).
cnf(refute_13_397,plain,
e22 = op2(e20,e20),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_13_170,refute_13_396]) ).
cnf(refute_13_398,plain,
( e22 != op2(e20,e20)
| op2(e20,e20) = e22 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_13_399,plain,
op2(e20,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e20)) )],[refute_13_397,refute_13_398]) ).
cnf(refute_13_400,plain,
( e20 != op2(e20,e20)
| op2(e20,e20) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e22) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_13_401,plain,
( e20 != op2(e20,e20)
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_13_399,refute_13_400]) ).
cnf(refute_13_402,plain,
( e20 = e22
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e20)) )],[refute_13_394,refute_13_401]) ).
cnf(refute_13_403,plain,
e20 != e22,
inference(canonicalize,[],[normalize_13_72]) ).
cnf(refute_13_404,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_13_402,refute_13_403]) ).
cnf(refute_13_405,plain,
( h4(e11) != e20
| h4(e11) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e20) ),[0],$fot(e21)]]) ).
cnf(refute_13_406,plain,
( h4(e11) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_404,refute_13_405]) ).
cnf(refute_13_407,plain,
( e21 = e20
| h4(op1(e11,e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_13_361,refute_13_406]) ).
cnf(refute_13_408,plain,
op2(e21,h4(e11)) = op2(e21,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e11)))]]) ).
cnf(refute_13_409,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_13_410,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) )],[refute_13_408,refute_13_409]) ).
cnf(refute_13_411,plain,
op2(e21,h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_404,refute_13_410]) ).
cnf(refute_13_412,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,h4(e11)) != op2(e21,e21)
| op2(e21,h4(e11)) = h2(e13) ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(e21,h4(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_13_413,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,h4(e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,e21)) )],[refute_13_411,refute_13_412]) ).
cnf(refute_13_414,plain,
op2(e21,h4(e11)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_100,refute_13_413]) ).
cnf(refute_13_415,plain,
( h4(op1(e11,e11)) != op2(e21,h4(e11))
| op2(e21,h4(e11)) != h2(e13)
| h4(op1(e11,e11)) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e13)) ),[0],$fot(op2(e21,h4(e11)))]]) ).
cnf(refute_13_416,plain,
( h4(op1(e11,e11)) != op2(e21,h4(e11))
| h4(op1(e11,e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),h2(e13)) )],[refute_13_414,refute_13_415]) ).
cnf(refute_13_417,plain,
( e21 = e20
| h4(op1(e11,e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(e21,h4(e11))) )],[refute_13_407,refute_13_416]) ).
cnf(refute_13_418,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_13_419,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_13_418,refute_13_244]) ).
cnf(refute_13_420,plain,
h4(op1(e11,e11)) = h2(e13),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_13_417,refute_13_419]) ).
cnf(refute_13_421,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(canonicalize,[],[normalize_13_73]) ).
cnf(refute_13_422,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_13_74]) ).
cnf(refute_13_423,plain,
( op1(e11,e11) != e13
| op1(e11,e13) != e13
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_13_424,plain,
( op1(e11,e11) != e13
| op1(e11,e11) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_13_381,refute_13_423]) ).
cnf(refute_13_425,plain,
op1(e11,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_13_424,refute_13_422]) ).
cnf(refute_13_426,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_13_421,refute_13_425]) ).
cnf(refute_13_427,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| op1(e11,e11) != e10
| h4(e10) = op2(h4(e11),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) ),[0,0],$fot(e10)]]) ).
cnf(refute_13_428,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(e10) = op2(h4(e11),h4(e11))
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_13_426,refute_13_427]) ).
cnf(refute_13_429,plain,
( h4(e10) = op2(h4(e11),h4(e11))
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_13_119,refute_13_428]) ).
cnf(refute_13_430,plain,
( h1(e13) != e22
| h4(e10) != h1(e13)
| h4(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h1(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_13_431,plain,
( h4(e10) != h1(e13)
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_13_327,refute_13_430]) ).
cnf(refute_13_432,plain,
h4(e10) = e22,
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_13_189,refute_13_431]) ).
cnf(refute_13_433,plain,
( h4(e10) != e22
| h4(e10) != op2(h4(e11),h4(e11))
| e22 = op2(h4(e11),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(h4(e11),h4(e11))) ),[0],$fot(e22)]]) ).
cnf(refute_13_434,plain,
( h4(e10) != op2(h4(e11),h4(e11))
| e22 = op2(h4(e11),h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_13_432,refute_13_433]) ).
cnf(refute_13_435,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) = h4(op1(e11,e11)) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(h4(op1(e11,e11)))),bind(Y,$fot(op2(h4(e11),h4(e11))))]]) ).
cnf(refute_13_436,plain,
op2(h4(e11),h4(e11)) = h4(op1(e11,e11)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_13_119,refute_13_435]) ).
cnf(refute_13_437,plain,
( e22 != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| e22 = h4(op1(e11,e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h4(op1(e11,e11))) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_13_438,plain,
( e22 != op2(h4(e11),h4(e11))
| e22 = h4(op1(e11,e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h4(op1(e11,e11))) )],[refute_13_436,refute_13_437]) ).
cnf(refute_13_439,plain,
( h4(e10) != op2(h4(e11),h4(e11))
| e22 = h4(op1(e11,e11)) ),
inference(resolve,[$cnf( $equal(e22,op2(h4(e11),h4(e11))) )],[refute_13_434,refute_13_438]) ).
cnf(refute_13_440,plain,
( e22 = h4(op1(e11,e11))
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(h4(e11),h4(e11))) )],[refute_13_429,refute_13_439]) ).
cnf(refute_13_441,plain,
( e22 != h4(op1(e11,e11))
| h4(op1(e11,e11)) != h2(e13)
| e22 = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h2(e13)) ),[0],$fot(h4(op1(e11,e11)))]]) ).
cnf(refute_13_442,plain,
( e22 != h4(op1(e11,e11))
| e22 = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e13)) )],[refute_13_420,refute_13_441]) ).
cnf(refute_13_443,plain,
( e22 = h2(e13)
| op1(e11,e11) = e11
| op1(e11,e11) = e12 ),
inference(resolve,[$cnf( $equal(e22,h4(op1(e11,e11))) )],[refute_13_440,refute_13_442]) ).
cnf(refute_13_444,plain,
op1(e11,e11) != op1(e11,e12),
inference(canonicalize,[],[normalize_13_75]) ).
cnf(refute_13_445,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_13_76]) ).
cnf(refute_13_446,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_13_447,plain,
( h4(e12) != e23
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h4(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_13_448,plain,
( h4(e12) != e23
| op2(h4(e11),h4(e12)) = op2(h4(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_13_446,refute_13_447]) ).
cnf(refute_13_449,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_301,refute_13_448]) ).
cnf(refute_13_450,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) = op2(h4(e11),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h4(e11),e23)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_13_451,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(h4(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),e23)) )],[refute_13_449,refute_13_450]) ).
cnf(refute_13_452,plain,
h4(op1(e11,e12)) = op2(h4(e11),e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_13_445,refute_13_451]) ).
cnf(refute_13_453,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_13_77]) ).
cnf(refute_13_454,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_13_78]) ).
cnf(refute_13_455,plain,
( op1(e11,e12) != e13
| op1(e12,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_13_456,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_10,refute_13_455]) ).
cnf(refute_13_457,plain,
op1(e11,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_13_456,refute_13_454]) ).
cnf(refute_13_458,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_13_453,refute_13_457]) ).
cnf(refute_13_459,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_13_79]) ).
cnf(refute_13_460,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_13_80]) ).
cnf(refute_13_461,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e12)))]]) ).
cnf(refute_13_462,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_13_463,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_13_461,refute_13_462]) ).
cnf(refute_13_464,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_301,refute_13_463]) ).
cnf(refute_13_465,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_13_466,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_13_467,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_13_465,refute_13_466]) ).
cnf(refute_13_468,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_13_189,refute_13_467]) ).
cnf(refute_13_469,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),h4(e12)))),bind(Z,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_13_470,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_13_468,refute_13_469]) ).
cnf(refute_13_471,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),e23)) )],[refute_13_464,refute_13_470]) ).
cnf(refute_13_472,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h1(e13),e23)
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_13_473,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),e23)) )],[refute_13_471,refute_13_472]) ).
cnf(refute_13_474,plain,
h4(op1(e10,e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_13_460,refute_13_473]) ).
cnf(refute_13_475,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_13_81]) ).
cnf(refute_13_476,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_13_82]) ).
cnf(refute_13_477,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_13_478,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_10,refute_13_477]) ).
cnf(refute_13_479,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_13_478,refute_13_476]) ).
cnf(refute_13_480,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_13_475,refute_13_479]) ).
cnf(refute_13_481,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_13_83]) ).
cnf(refute_13_482,plain,
( op1(e10,e12) != e11
| op1(e10,e13) != e11
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_13_483,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_13_67,refute_13_482]) ).
cnf(refute_13_484,plain,
op1(e10,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_13_483,refute_13_481]) ).
cnf(refute_13_485,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_13_480,refute_13_484]) ).
cnf(refute_13_486,plain,
( h4(op1(e10,e12)) != op2(h1(e13),e23)
| op1(e10,e12) != e12
| h4(e12) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_13_487,plain,
( h4(op1(e10,e12)) != op2(h1(e13),e23)
| h4(e12) = op2(h1(e13),e23)
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_13_485,refute_13_486]) ).
cnf(refute_13_488,plain,
( h4(e12) = op2(h1(e13),e23)
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) )],[refute_13_474,refute_13_487]) ).
cnf(refute_13_489,plain,
( h4(e12) != e23
| h4(e12) != op2(h1(e13),e23)
| e23 = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(h1(e13),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_13_490,plain,
( h4(e12) != op2(h1(e13),e23)
| e23 = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_301,refute_13_489]) ).
cnf(refute_13_491,plain,
( h4(op1(e10,e12)) != op2(h1(e13),e23)
| op2(h1(e13),e23) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_13_492,plain,
op2(h1(e13),e23) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) )],[refute_13_474,refute_13_491]) ).
cnf(refute_13_493,plain,
( e23 != op2(h1(e13),e23)
| op2(h1(e13),e23) != h4(op1(e10,e12))
| e23 = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(op1(e10,e12))) ),[0],$fot(op2(h1(e13),e23))]]) ).
cnf(refute_13_494,plain,
( e23 != op2(h1(e13),e23)
| e23 = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),h4(op1(e10,e12))) )],[refute_13_492,refute_13_493]) ).
cnf(refute_13_495,plain,
( h4(e12) != op2(h1(e13),e23)
| e23 = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(e23,op2(h1(e13),e23)) )],[refute_13_490,refute_13_494]) ).
cnf(refute_13_496,plain,
( e23 = h4(op1(e10,e12))
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(h1(e13),e23)) )],[refute_13_488,refute_13_495]) ).
cnf(refute_13_497,plain,
op2(h1(e13),e23) = op2(h1(e13),e23),
introduced(tautology,[refl,[$fot(op2(h1(e13),e23))]]) ).
cnf(refute_13_498,plain,
( h1(e13) != e22
| op2(h1(e13),e23) != op2(h1(e13),e23)
| op2(h1(e13),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),op2(h1(e13),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_13_499,plain,
( h1(e13) != e22
| op2(h1(e13),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(h1(e13),e23)) )],[refute_13_497,refute_13_498]) ).
cnf(refute_13_500,plain,
op2(h1(e13),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_13_327,refute_13_499]) ).
cnf(refute_13_501,plain,
( h4(op1(e10,e12)) != op2(h1(e13),e23)
| op2(h1(e13),e23) != op2(e22,e23)
| h4(op1(e10,e12)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e22,e23)) ),[0],$fot(op2(h1(e13),e23))]]) ).
cnf(refute_13_502,plain,
( h4(op1(e10,e12)) != op2(h1(e13),e23)
| h4(op1(e10,e12)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e22,e23)) )],[refute_13_500,refute_13_501]) ).
cnf(refute_13_503,plain,
h4(op1(e10,e12)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) )],[refute_13_474,refute_13_502]) ).
cnf(refute_13_504,plain,
( e23 != h4(op1(e10,e12))
| h4(op1(e10,e12)) != op2(e22,e23)
| e23 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e23)) ),[0],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_13_505,plain,
( e23 != h4(op1(e10,e12))
| e23 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e22,e23)) )],[refute_13_503,refute_13_504]) ).
cnf(refute_13_506,plain,
( e23 = op2(e22,e23)
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(e23,h4(op1(e10,e12))) )],[refute_13_496,refute_13_505]) ).
cnf(refute_13_507,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_13_84]) ).
cnf(refute_13_508,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_13_509,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_124,refute_13_508]) ).
cnf(refute_13_510,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_13_509,refute_13_507]) ).
cnf(refute_13_511,plain,
op1(e10,e12) = e10,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_13_506,refute_13_510]) ).
cnf(refute_13_512,plain,
( e10 != op1(e11,e12)
| op1(e10,e12) != e10
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_13_513,plain,
( e10 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_13_511,refute_13_512]) ).
cnf(refute_13_514,plain,
e10 != op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_13_513,refute_13_459]) ).
cnf(refute_13_515,plain,
( op1(e11,e12) != e10
| e10 = op1(e11,e12) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(e10))]]) ).
cnf(refute_13_516,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_13_515,refute_13_514]) ).
cnf(refute_13_517,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_13_458,refute_13_516]) ).
cnf(refute_13_518,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| op1(e11,e12) != e11
| h4(e11) = op2(h4(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),e23)) ),[0,0],$fot(e11)]]) ).
cnf(refute_13_519,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| h4(e11) = op2(h4(e11),e23)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_13_517,refute_13_518]) ).
cnf(refute_13_520,plain,
( h4(e11) = op2(h4(e11),e23)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),e23)) )],[refute_13_452,refute_13_519]) ).
cnf(refute_13_521,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| op2(h4(e11),e23) = h4(op1(e11,e12)) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(op2(h4(e11),e23)))]]) ).
cnf(refute_13_522,plain,
op2(h4(e11),e23) = h4(op1(e11,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),e23)) )],[refute_13_452,refute_13_521]) ).
cnf(refute_13_523,plain,
( h4(e11) != op2(h4(e11),e23)
| op2(h4(e11),e23) != h4(op1(e11,e12))
| h4(e11) = h4(op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h4(op1(e11,e12))) ),[0],$fot(op2(h4(e11),e23))]]) ).
cnf(refute_13_524,plain,
( h4(e11) != op2(h4(e11),e23)
| h4(e11) = h4(op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e23),h4(op1(e11,e12))) )],[refute_13_522,refute_13_523]) ).
cnf(refute_13_525,plain,
( h4(e11) = h4(op1(e11,e12))
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e11),e23)) )],[refute_13_520,refute_13_524]) ).
cnf(refute_13_526,plain,
( h4(e11) != e21
| h4(e11) != h4(op1(e11,e12))
| e21 = h4(op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h4(op1(e11,e12))) ),[0],$fot(e21)]]) ).
cnf(refute_13_527,plain,
( h4(e11) != h4(op1(e11,e12))
| e21 = h4(op1(e11,e12))
| h4(e11) = e20 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_358,refute_13_526]) ).
cnf(refute_13_528,plain,
( e21 = h4(op1(e11,e12))
| h4(e11) = e20
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),h4(op1(e11,e12))) )],[refute_13_525,refute_13_527]) ).
cnf(refute_13_529,plain,
( h4(e11) != e21
| h4(op1(e11,e12)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_13_530,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| h4(e11) = e20
| h4(op1(e11,e12)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_358,refute_13_529]) ).
cnf(refute_13_531,plain,
( h4(e11) = e20
| h4(op1(e11,e12)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),e23)) )],[refute_13_452,refute_13_530]) ).
cnf(refute_13_532,plain,
( e21 = e20
| h4(op1(e11,e12)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_13_531,refute_13_406]) ).
cnf(refute_13_533,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_13_85]) ).
cnf(refute_13_534,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_13_535,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_13_271,refute_13_534]) ).
cnf(refute_13_536,plain,
( h3(e11) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_13_533,refute_13_535]) ).
cnf(refute_13_537,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_13_538,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_143,refute_13_537]) ).
cnf(refute_13_539,plain,
( h3(e11) = e23
| h4(e13) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_13_536,refute_13_538]) ).
cnf(refute_13_540,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_13_541,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_13_540,refute_13_510]) ).
cnf(refute_13_542,plain,
( h3(e11) = e23
| h4(e13) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_13_539,refute_13_541]) ).
cnf(refute_13_543,plain,
( h3(e11) != e21
| h3(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_13_544,plain,
( h3(e11) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_13_287,refute_13_543]) ).
cnf(refute_13_545,plain,
( e21 = e23
| h4(e13) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_13_542,refute_13_544]) ).
cnf(refute_13_546,plain,
( h4(e13) != e20
| h4(e13) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e20)]]) ).
cnf(refute_13_547,plain,
( h4(e13) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_13_162,refute_13_546]) ).
cnf(refute_13_548,plain,
( e20 = e23
| e21 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_13_545,refute_13_547]) ).
cnf(refute_13_549,plain,
( e21 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_13_548,refute_13_229]) ).
cnf(refute_13_550,plain,
e21 != e23,
inference(canonicalize,[],[normalize_13_86]) ).
cnf(refute_13_551,plain,
op2(e21,e23) = e23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_13_549,refute_13_550]) ).
cnf(refute_13_552,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| op2(e21,e23) != e23
| h4(op1(e11,e12)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),e23) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_13_553,plain,
( h4(op1(e11,e12)) != op2(e21,e23)
| h4(op1(e11,e12)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_13_551,refute_13_552]) ).
cnf(refute_13_554,plain,
( e21 = e20
| h4(op1(e11,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e23)) )],[refute_13_532,refute_13_553]) ).
cnf(refute_13_555,plain,
h4(op1(e11,e12)) = e23,
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_13_554,refute_13_419]) ).
cnf(refute_13_556,plain,
( e21 != h4(op1(e11,e12))
| h4(op1(e11,e12)) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e23) ),[0],$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_13_557,plain,
( e21 != h4(op1(e11,e12))
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e23) )],[refute_13_555,refute_13_556]) ).
cnf(refute_13_558,plain,
( e21 = e23
| h4(e11) = e20
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e11,e12))) )],[refute_13_528,refute_13_557]) ).
cnf(refute_13_559,plain,
( e21 = e20
| e21 = e23
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_13_558,refute_13_406]) ).
cnf(refute_13_560,plain,
( e21 = e23
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_13_559,refute_13_419]) ).
cnf(refute_13_561,plain,
op1(e11,e12) = e12,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_13_560,refute_13_550]) ).
cnf(refute_13_562,plain,
( op1(e11,e11) != e12
| op1(e11,e12) != e12
| op1(e11,e11) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e11),op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_13_563,plain,
( op1(e11,e11) != e12
| op1(e11,e11) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_13_561,refute_13_562]) ).
cnf(refute_13_564,plain,
op1(e11,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e12)) )],[refute_13_563,refute_13_444]) ).
cnf(refute_13_565,plain,
( e22 = h2(e13)
| op1(e11,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_13_443,refute_13_564]) ).
cnf(refute_13_566,plain,
( h4(op1(e11,e11)) != h2(e13)
| op1(e11,e11) != e11
| h4(e11) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e13)) ),[0,0],$fot(e11)]]) ).
cnf(refute_13_567,plain,
( h4(op1(e11,e11)) != h2(e13)
| e22 = h2(e13)
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_13_565,refute_13_566]) ).
cnf(refute_13_568,plain,
( e22 = h2(e13)
| h4(e11) = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e13)) )],[refute_13_420,refute_13_567]) ).
cnf(refute_13_569,plain,
( h4(e11) != e21
| h4(e11) != h2(e13)
| e21 = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h2(e13)) ),[0],$fot(e21)]]) ).
cnf(refute_13_570,plain,
( h4(e11) != h2(e13)
| e21 = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_404,refute_13_569]) ).
cnf(refute_13_571,plain,
( e21 = h2(e13)
| e22 = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_13_568,refute_13_570]) ).
cnf(refute_13_572,plain,
( e22 != h2(e13)
| h2(e13) = e22 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e22)),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_13_573,plain,
( e21 = h2(e13)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e22,h2(e13)) )],[refute_13_571,refute_13_572]) ).
cnf(refute_13_574,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| h2(e13) != e22
| h2(e10) = op2(e22,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),h2(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_13_575,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| e21 = h2(e13)
| h2(e10) = op2(e22,h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_13_573,refute_13_574]) ).
cnf(refute_13_576,plain,
( e21 = h2(e13)
| h2(e10) = op2(e22,h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),h2(e13))) )],[refute_13_118,refute_13_575]) ).
cnf(refute_13_577,plain,
( h2(e10) != op2(e22,h2(e13))
| h2(e13) != e22
| h2(e10) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e22,h2(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_13_578,plain,
( h2(e10) != op2(e22,h2(e13))
| e21 = h2(e13)
| h2(e10) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_13_573,refute_13_577]) ).
cnf(refute_13_579,plain,
( e21 = h2(e13)
| h2(e10) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,h2(e13))) )],[refute_13_576,refute_13_578]) ).
cnf(refute_13_580,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) != e23
| h2(e10) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_13_581,plain,
( h2(e10) != op2(e22,e22)
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_124,refute_13_580]) ).
cnf(refute_13_582,plain,
( e21 = h2(e13)
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_13_579,refute_13_581]) ).
cnf(refute_13_583,plain,
( e21 != h2(e13)
| h2(e13) = e21 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e21)),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_13_584,plain,
( h2(e10) = e23
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(e21,h2(e13)) )],[refute_13_582,refute_13_583]) ).
cnf(refute_13_585,plain,
( e21 != op2(e23,e21)
| h2(e13) != e21
| h2(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e21) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_13_586,plain,
( e21 != op2(e23,e21)
| h2(e10) = e23
| h2(e13) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_13_584,refute_13_585]) ).
cnf(refute_13_587,plain,
( e21 != op2(e23,e21)
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e21)) )],[refute_13_586,refute_13_103]) ).
cnf(refute_13_588,plain,
h4(op1(e12,e11)) = op2(h4(e12),h4(e11)),
inference(canonicalize,[],[normalize_13_87]) ).
cnf(refute_13_589,plain,
op2(h4(e12),h4(e11)) = op2(h4(e12),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_13_590,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) = op2(e23,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_13_591,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e11)) = op2(e23,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) )],[refute_13_589,refute_13_590]) ).
cnf(refute_13_592,plain,
op2(h4(e12),h4(e11)) = op2(e23,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_301,refute_13_591]) ).
cnf(refute_13_593,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) != op2(e23,h4(e11))
| h4(op1(e12,e11)) = op2(e23,h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e23,h4(e11))) ),[0],$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_13_594,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e11)) = op2(e23,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e23,h4(e11))) )],[refute_13_592,refute_13_593]) ).
cnf(refute_13_595,plain,
h4(op1(e12,e11)) = op2(e23,h4(e11)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) )],[refute_13_588,refute_13_594]) ).
cnf(refute_13_596,plain,
( h4(op1(e12,e11)) != op2(e23,h4(e11))
| op1(e12,e11) != e11
| h4(e11) = op2(e23,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h4(e11))) ),[0,0],$fot(e11)]]) ).
cnf(refute_13_597,plain,
( h4(op1(e12,e11)) != op2(e23,h4(e11))
| h4(e11) = op2(e23,h4(e11))
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_13_91,refute_13_596]) ).
cnf(refute_13_598,plain,
( h4(e11) = op2(e23,h4(e11))
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h4(e11))) )],[refute_13_595,refute_13_597]) ).
cnf(refute_13_599,plain,
( h4(op1(e12,e11)) != op2(e23,h4(e11))
| op2(e23,h4(e11)) = h4(op1(e12,e11)) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(h4(op1(e12,e11)))),bind(Y,$fot(op2(e23,h4(e11))))]]) ).
cnf(refute_13_600,plain,
op2(e23,h4(e11)) = h4(op1(e12,e11)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h4(e11))) )],[refute_13_595,refute_13_599]) ).
cnf(refute_13_601,plain,
( h4(e11) != op2(e23,h4(e11))
| op2(e23,h4(e11)) != h4(op1(e12,e11))
| h4(e11) = h4(op1(e12,e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h4(op1(e12,e11))) ),[0],$fot(op2(e23,h4(e11)))]]) ).
cnf(refute_13_602,plain,
( h4(e11) != op2(e23,h4(e11))
| h4(e11) = h4(op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),h4(op1(e12,e11))) )],[refute_13_600,refute_13_601]) ).
cnf(refute_13_603,plain,
( h4(e11) = h4(op1(e12,e11))
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,h4(e11))) )],[refute_13_598,refute_13_602]) ).
cnf(refute_13_604,plain,
( h4(e11) != e21
| h4(e11) != h4(op1(e12,e11))
| e21 = h4(op1(e12,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),h4(op1(e12,e11))) ),[0],$fot(e21)]]) ).
cnf(refute_13_605,plain,
( h4(e11) != h4(op1(e12,e11))
| e21 = h4(op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_404,refute_13_604]) ).
cnf(refute_13_606,plain,
( h4(e11) != e21
| h4(op1(e12,e11)) != op2(e23,h4(e11))
| h4(op1(e12,e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_607,plain,
( h4(op1(e12,e11)) != op2(e23,h4(e11))
| h4(e11) = e20
| h4(op1(e12,e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_358,refute_13_606]) ).
cnf(refute_13_608,plain,
( h4(e11) = e20
| h4(op1(e12,e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h4(e11))) )],[refute_13_595,refute_13_607]) ).
cnf(refute_13_609,plain,
( e21 = e20
| h4(op1(e12,e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_13_608,refute_13_406]) ).
cnf(refute_13_610,plain,
h4(op1(e12,e11)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_13_609,refute_13_419]) ).
cnf(refute_13_611,plain,
( e21 != h4(op1(e12,e11))
| h4(op1(e12,e11)) != op2(e23,e21)
| e21 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e23,e21)) ),[0],$fot(h4(op1(e12,e11)))]]) ).
cnf(refute_13_612,plain,
( e21 != h4(op1(e12,e11))
| e21 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,e21)) )],[refute_13_610,refute_13_611]) ).
cnf(refute_13_613,plain,
( h4(e11) != h4(op1(e12,e11))
| e21 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(e21,h4(op1(e12,e11))) )],[refute_13_605,refute_13_612]) ).
cnf(refute_13_614,plain,
( e21 = op2(e23,e21)
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(h4(e11),h4(op1(e12,e11))) )],[refute_13_603,refute_13_613]) ).
cnf(refute_13_615,plain,
( e21 != op2(e23,e21)
| op2(e23,e21) = e21 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_13_616,plain,
( op1(e12,e11) = e10
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_13_614,refute_13_615]) ).
cnf(refute_13_617,plain,
( e21 != e21
| op2(e23,e21) != e21
| e21 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e23,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_13_618,plain,
( e21 != e21
| e21 = op2(e23,e21)
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_13_616,refute_13_617]) ).
cnf(refute_13_619,plain,
( e21 != e21
| h2(e10) = e23
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_13_618,refute_13_587]) ).
cnf(refute_13_620,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_13_621,plain,
( h2(e10) = e23
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_13_620,refute_13_619]) ).
cnf(refute_13_622,plain,
( op1(e12,e11) != e10
| op1(e12,e11) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e11) ),[0],$fot(e10)]]) ).
cnf(refute_13_623,plain,
( op1(e12,e11) != e11
| e10 = e11
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_13_621,refute_13_622]) ).
cnf(refute_13_624,plain,
( e10 = e11
| h2(e10) = e23
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_13_96,refute_13_623]) ).
cnf(refute_13_625,plain,
e10 != e11,
inference(canonicalize,[],[normalize_13_88]) ).
cnf(refute_13_626,plain,
( h2(e10) = e23
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_13_624,refute_13_625]) ).
cnf(refute_13_627,plain,
( op1(e11,e10) != e11
| op1(e12,e10) != e11
| op1(e11,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e12,e10)) ),[1],$fot(e11)]]) ).
cnf(refute_13_628,plain,
( op1(e11,e10) != e11
| h2(e10) = e23
| op1(e11,e10) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_13_626,refute_13_627]) ).
cnf(refute_13_629,plain,
( op1(e11,e10) != e11
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,e10)) )],[refute_13_628,refute_13_1]) ).
cnf(refute_13_630,plain,
op1(e13,e10) != op1(e13,e11),
inference(canonicalize,[],[normalize_13_89]) ).
cnf(refute_13_631,plain,
( op1(e10,e12) != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_13_92]) ).
cnf(refute_13_632,plain,
( e10 != e10
| op1(e10,e12) != e10
| op1(e10,e12) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_13_633,plain,
( e10 != e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_13_511,refute_13_632]) ).
cnf(refute_13_634,plain,
( e10 != e10
| op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_13_633,refute_13_631]) ).
cnf(refute_13_635,plain,
( op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_13_95,refute_13_634]) ).
cnf(refute_13_636,plain,
( e13 != op1(e13,e11)
| op1(e13,e10) != e13
| op1(e13,e10) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[1],$fot(op1(e13,e11))]]) ).
cnf(refute_13_637,plain,
( e13 != op1(e13,e11)
| op1(e11,e10) = e11
| op1(e13,e10) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_13_635,refute_13_636]) ).
cnf(refute_13_638,plain,
( e13 != op1(e13,e11)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e11)) )],[refute_13_637,refute_13_630]) ).
cnf(refute_13_639,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_13_93]) ).
cnf(refute_13_640,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_13_639,refute_13_85]) ).
cnf(refute_13_641,plain,
( e13 != e13
| op1(e13,e11) != e13
| e13 = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_13_642,plain,
( e13 != e13
| e13 = op1(e13,e11)
| op1(e10,e11) = e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_13_640,refute_13_641]) ).
cnf(refute_13_643,plain,
( e13 != e13
| op1(e10,e11) = e13
| op1(e11,e10) = e11
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e11)) )],[refute_13_642,refute_13_638]) ).
cnf(refute_13_644,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_13_645,plain,
( op1(e10,e11) = e13
| op1(e11,e10) = e11
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_13_644,refute_13_643]) ).
cnf(refute_13_646,plain,
( op1(e10,e11) = e13
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_13_645,refute_13_425]) ).
cnf(refute_13_647,plain,
( e11 != e11
| op1(e11,e10) != e11
| op1(e11,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[0,0],$fot(e11)]]) ).
cnf(refute_13_648,plain,
( e11 != e11
| op1(e10,e11) = e13
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_13_646,refute_13_647]) ).
cnf(refute_13_649,plain,
( e11 != e11
| h2(e10) = e23
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_13_648,refute_13_629]) ).
cnf(refute_13_650,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_13_651,plain,
( h2(e10) = e23
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_13_650,refute_13_649]) ).
cnf(refute_13_652,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_13_94]) ).
cnf(refute_13_653,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_13_95]) ).
cnf(refute_13_654,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e20,e20)))]]) ).
cnf(refute_13_655,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_13_656,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_13_654,refute_13_655]) ).
cnf(refute_13_657,plain,
op2(h1(e13),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_172,refute_13_656]) ).
cnf(refute_13_658,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_13_659,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),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(e13))]]) ).
cnf(refute_13_660,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_13_658,refute_13_659]) ).
cnf(refute_13_661,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_172,refute_13_660]) ).
cnf(refute_13_662,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e13),op2(e20,e20)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_13_663,plain,
( op2(h1(e13),op2(e20,e20)) != op2(h1(e13),h1(e13))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),op2(e20,e20))) )],[refute_13_661,refute_13_662]) ).
cnf(refute_13_664,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_13_657,refute_13_663]) ).
cnf(refute_13_665,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e13),h1(e13))
| h1(e10) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),h1(e13))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_13_666,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| h1(e10) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e13),h1(e13))) )],[refute_13_664,refute_13_665]) ).
cnf(refute_13_667,plain,
h1(e10) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_13_653,refute_13_666]) ).
cnf(refute_13_668,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) = h1(e10) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_13_669,plain,
op2(h1(e13),h1(e13)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_13_667,refute_13_668]) ).
cnf(refute_13_670,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e10)))]]) ).
cnf(refute_13_671,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_13_672,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_13_670,refute_13_671]) ).
cnf(refute_13_673,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_13_189,refute_13_672]) ).
cnf(refute_13_674,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_13_675,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_13_676,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_13_674,refute_13_675]) ).
cnf(refute_13_677,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_13_189,refute_13_676]) ).
cnf(refute_13_678,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h4(e10)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_13_679,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_13_677,refute_13_678]) ).
cnf(refute_13_680,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_13_673,refute_13_679]) ).
cnf(refute_13_681,plain,
( op2(h1(e13),h1(e13)) != h1(e10)
| op2(h4(e10),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = h1(e10) ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h1(e13)))),bind(Z,$fot(h1(e10)))]]) ).
cnf(refute_13_682,plain,
( op2(h1(e13),h1(e13)) != h1(e10)
| op2(h4(e10),h4(e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_13_680,refute_13_681]) ).
cnf(refute_13_683,plain,
op2(h4(e10),h4(e10)) = h1(e10),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),h1(e10)) )],[refute_13_669,refute_13_682]) ).
cnf(refute_13_684,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e10)
| h4(op1(e10,e10)) = h1(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e10)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_13_685,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e10)) )],[refute_13_683,refute_13_684]) ).
cnf(refute_13_686,plain,
h4(op1(e10,e10)) = h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_13_652,refute_13_685]) ).
cnf(refute_13_687,plain,
op2(e22,h1(e13)) = op2(e22,h1(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h1(e13)))]]) ).
cnf(refute_13_688,plain,
( h1(e13) != e22
| op2(e22,h1(e13)) != op2(e22,h1(e13))
| op2(e22,h1(e13)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h1(e13)),op2(e22,h1(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_13_689,plain,
( h1(e13) != e22
| op2(e22,h1(e13)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h1(e13)),op2(e22,h1(e13))) )],[refute_13_687,refute_13_688]) ).
cnf(refute_13_690,plain,
op2(e22,h1(e13)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_13_327,refute_13_689]) ).
cnf(refute_13_691,plain,
op2(h1(e13),h1(e13)) = op2(h1(e13),h1(e13)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h1(e13)))]]) ).
cnf(refute_13_692,plain,
( h1(e13) != e22
| op2(h1(e13),h1(e13)) != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) = op2(e22,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(h1(e13),h1(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_13_693,plain,
( h1(e13) != e22
| op2(h1(e13),h1(e13)) = op2(e22,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(h1(e13),h1(e13))) )],[refute_13_691,refute_13_692]) ).
cnf(refute_13_694,plain,
op2(h1(e13),h1(e13)) = op2(e22,h1(e13)),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_13_327,refute_13_693]) ).
cnf(refute_13_695,plain,
( op2(e22,h1(e13)) != op2(e22,e22)
| op2(h1(e13),h1(e13)) != op2(e22,h1(e13))
| op2(h1(e13),h1(e13)) = op2(e22,e22) ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(h1(e13),h1(e13)))),bind(Y,$fot(op2(e22,h1(e13)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_13_696,plain,
( op2(e22,h1(e13)) != op2(e22,e22)
| op2(h1(e13),h1(e13)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(e22,h1(e13))) )],[refute_13_694,refute_13_695]) ).
cnf(refute_13_697,plain,
op2(h1(e13),h1(e13)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,h1(e13)),op2(e22,e22)) )],[refute_13_690,refute_13_696]) ).
cnf(refute_13_698,plain,
( op2(e22,e22) != e23
| op2(h1(e13),h1(e13)) != op2(e22,e22)
| op2(h1(e13),h1(e13)) = e23 ),
inference(subst,[],[refute_13_35:[bind(X,$fot(op2(h1(e13),h1(e13)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(e23))]]) ).
cnf(refute_13_699,plain,
( op2(e22,e22) != e23
| op2(h1(e13),h1(e13)) = e23 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(e22,e22)) )],[refute_13_697,refute_13_698]) ).
cnf(refute_13_700,plain,
op2(h1(e13),h1(e13)) = e23,
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_124,refute_13_699]) ).
cnf(refute_13_701,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) != e23
| h1(e10) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e23) ),[0],$fot(op2(h1(e13),h1(e13)))]]) ).
cnf(refute_13_702,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),e23) )],[refute_13_700,refute_13_701]) ).
cnf(refute_13_703,plain,
h1(e10) = e23,
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),h1(e13))) )],[refute_13_667,refute_13_702]) ).
cnf(refute_13_704,plain,
( h1(e10) != e23
| h4(op1(e10,e10)) != h1(e10)
| h4(op1(e10,e10)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) ),[1],$fot(e23)]]) ).
cnf(refute_13_705,plain,
( h4(op1(e10,e10)) != h1(e10)
| h4(op1(e10,e10)) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_13_703,refute_13_704]) ).
cnf(refute_13_706,plain,
h4(op1(e10,e10)) = e23,
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e10)) )],[refute_13_686,refute_13_705]) ).
cnf(refute_13_707,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_13_96]) ).
cnf(refute_13_708,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_13_97]) ).
cnf(refute_13_709,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_13_708,refute_13_479]) ).
cnf(refute_13_710,plain,
( e11 = e13
| op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_13_709,refute_13_373]) ).
cnf(refute_13_711,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_13_710,refute_13_380]) ).
cnf(refute_13_712,plain,
( e13 != op1(e13,e11)
| op1(e10,e11) != e13
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(op1(e13,e11))]]) ).
cnf(refute_13_713,plain,
( e13 != op1(e13,e11)
| op1(e10,e10) = e13
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_13_711,refute_13_712]) ).
cnf(refute_13_714,plain,
( e13 != op1(e13,e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_13_713,refute_13_707]) ).
cnf(refute_13_715,plain,
( op1(e11,e10) != e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_13_98]) ).
cnf(refute_13_716,plain,
( op1(e11,e10) != e11
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_13_715,refute_13_90]) ).
cnf(refute_13_717,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_13_99]) ).
cnf(refute_13_718,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(canonicalize,[],[normalize_13_100]) ).
cnf(refute_13_719,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[0],$fot(e13)]]) ).
cnf(refute_13_720,plain,
( op1(e12,e12) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_10,refute_13_719]) ).
cnf(refute_13_721,plain,
( e13 = e11
| op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_13_718,refute_13_720]) ).
cnf(refute_13_722,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_13_723,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_13_722,refute_13_380]) ).
cnf(refute_13_724,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_13_721,refute_13_723]) ).
cnf(refute_13_725,plain,
( op1(e11,e12) = e11
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_13_724,refute_13_484]) ).
cnf(refute_13_726,plain,
( op1(e13,e10) != e11
| op1(e13,e12) != e11
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_13_727,plain,
( op1(e13,e10) != e11
| op1(e11,e12) = e11
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_13_725,refute_13_726]) ).
cnf(refute_13_728,plain,
( op1(e13,e10) != e11
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_13_727,refute_13_717]) ).
cnf(refute_13_729,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(canonicalize,[],[normalize_13_101]) ).
cnf(refute_13_730,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_13_102]) ).
cnf(refute_13_731,plain,
( op1(e10,e10) != e11
| op1(e10,e13) != e11
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_13_732,plain,
( op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_13_67,refute_13_731]) ).
cnf(refute_13_733,plain,
op1(e10,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_13_732,refute_13_730]) ).
cnf(refute_13_734,plain,
( op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_13_729,refute_13_733]) ).
cnf(refute_13_735,plain,
( e11 != e11
| op1(e13,e10) != e11
| op1(e13,e10) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e11) ),[1],$fot(e11)]]) ).
cnf(refute_13_736,plain,
( e11 != e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_13_734,refute_13_735]) ).
cnf(refute_13_737,plain,
( e11 != e11
| op1(e11,e10) = e11
| op1(e11,e12) = e11
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_13_736,refute_13_728]) ).
cnf(refute_13_738,plain,
( op1(e11,e10) = e11
| op1(e11,e12) = e11
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_13_650,refute_13_737]) ).
cnf(refute_13_739,plain,
( op1(e11,e12) != e11
| op1(e11,e12) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0],$fot(e12)]]) ).
cnf(refute_13_740,plain,
( op1(e11,e12) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_13_561,refute_13_739]) ).
cnf(refute_13_741,plain,
( e12 = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_13_738,refute_13_740]) ).
cnf(refute_13_742,plain,
e11 != e12,
inference(canonicalize,[],[normalize_13_103]) ).
cnf(refute_13_743,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_13_744,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_13_743,refute_13_742]) ).
cnf(refute_13_745,plain,
( op1(e11,e10) = e11
| op1(e12,e10) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_13_741,refute_13_744]) ).
cnf(refute_13_746,plain,
( e22 = h2(e13)
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(e21,h2(e13)) )],[refute_13_571,refute_13_583]) ).
cnf(refute_13_747,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| h2(e13) != e21
| h2(e10) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(h2(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_13_748,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| e22 = h2(e13)
| h2(e10) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_13_746,refute_13_747]) ).
cnf(refute_13_749,plain,
( e22 = h2(e13)
| h2(e10) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),h2(e13))) )],[refute_13_118,refute_13_748]) ).
cnf(refute_13_750,plain,
( h2(e10) != op2(e21,h2(e13))
| h2(e13) != e21
| h2(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,h2(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_751,plain,
( h2(e10) != op2(e21,h2(e13))
| e22 = h2(e13)
| h2(e10) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_13_746,refute_13_750]) ).
cnf(refute_13_752,plain,
( e22 = h2(e13)
| h2(e10) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e13))) )],[refute_13_749,refute_13_751]) ).
cnf(refute_13_753,plain,
( h2(e10) != op2(e21,e21)
| op2(e21,e21) != h2(e13)
| h2(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_13_754,plain,
( h2(e10) != op2(e21,e21)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_100,refute_13_753]) ).
cnf(refute_13_755,plain,
( e22 = h2(e13)
| h2(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e21)) )],[refute_13_752,refute_13_754]) ).
cnf(refute_13_756,plain,
( h2(e10) != h2(e13)
| h2(e13) = h2(e10) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(h2(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_13_757,plain,
( e22 = h2(e13)
| h2(e13) = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_13_755,refute_13_756]) ).
cnf(refute_13_758,plain,
( e21 != h2(e13)
| h2(e13) != h2(e10)
| e21 = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h2(e10)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_13_759,plain,
( e21 != h2(e13)
| e21 = h2(e10)
| e22 = h2(e13) ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e10)) )],[refute_13_757,refute_13_758]) ).
cnf(refute_13_760,plain,
( e21 = h2(e10)
| e22 = h2(e13) ),
inference(resolve,[$cnf( $equal(e21,h2(e13)) )],[refute_13_571,refute_13_759]) ).
cnf(refute_13_761,plain,
( e21 = h2(e10)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e22,h2(e13)) )],[refute_13_760,refute_13_572]) ).
cnf(refute_13_762,plain,
( e22 != op2(e23,e21)
| h2(e13) != e22
| h2(e13) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_13_763,plain,
( e22 != op2(e23,e21)
| e21 = h2(e10)
| h2(e13) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_13_761,refute_13_762]) ).
cnf(refute_13_764,plain,
( e22 != op2(e23,e21)
| e21 = h2(e10) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e21)) )],[refute_13_763,refute_13_103]) ).
cnf(refute_13_765,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(canonicalize,[],[normalize_13_104]) ).
cnf(refute_13_766,plain,
( op1(e12,e12) != e10
| op1(e12,e12) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).
cnf(refute_13_767,plain,
( op1(e12,e12) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_10,refute_13_766]) ).
cnf(refute_13_768,plain,
( e13 = e10
| op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_13_765,refute_13_767]) ).
cnf(refute_13_769,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_13_770,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_13_769,refute_13_378]) ).
cnf(refute_13_771,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_13_768,refute_13_770]) ).
cnf(refute_13_772,plain,
( op1(e12,e13) != e10
| op1(e12,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_13_773,plain,
( op1(e12,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_13_73,refute_13_772]) ).
cnf(refute_13_774,plain,
( e12 = e10
| op1(e12,e10) = e10
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_13_771,refute_13_773]) ).
cnf(refute_13_775,plain,
e10 != e12,
inference(canonicalize,[],[normalize_13_105]) ).
cnf(refute_13_776,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_13_777,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_13_776,refute_13_775]) ).
cnf(refute_13_778,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_13_774,refute_13_777]) ).
cnf(refute_13_779,plain,
( h4(op1(e12,e11)) != op2(e23,h4(e11))
| op1(e12,e11) != e10
| h4(e10) = op2(e23,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h4(e11))) ),[0,0],$fot(e10)]]) ).
cnf(refute_13_780,plain,
( h4(op1(e12,e11)) != op2(e23,h4(e11))
| h4(e10) = op2(e23,h4(e11))
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_13_778,refute_13_779]) ).
cnf(refute_13_781,plain,
( h4(e10) = op2(e23,h4(e11))
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,h4(e11))) )],[refute_13_595,refute_13_780]) ).
cnf(refute_13_782,plain,
( h4(e10) != h1(e13)
| h4(e10) != op2(e23,h4(e11))
| h1(e13) = op2(e23,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e23,h4(e11))) ),[0],$fot(h1(e13))]]) ).
cnf(refute_13_783,plain,
( h4(e10) != op2(e23,h4(e11))
| h1(e13) = op2(e23,h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_13_189,refute_13_782]) ).
cnf(refute_13_784,plain,
( h1(e13) != op2(e23,h4(e11))
| op2(e23,h4(e11)) != h4(op1(e12,e11))
| h1(e13) = h4(op1(e12,e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),h4(op1(e12,e11))) ),[0],$fot(op2(e23,h4(e11)))]]) ).
cnf(refute_13_785,plain,
( h1(e13) != op2(e23,h4(e11))
| h1(e13) = h4(op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),h4(op1(e12,e11))) )],[refute_13_600,refute_13_784]) ).
cnf(refute_13_786,plain,
( h4(e10) != op2(e23,h4(e11))
| h1(e13) = h4(op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,h4(e11))) )],[refute_13_783,refute_13_785]) ).
cnf(refute_13_787,plain,
( h1(e13) = h4(op1(e12,e11))
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,h4(e11))) )],[refute_13_781,refute_13_786]) ).
cnf(refute_13_788,plain,
( h1(e13) != e22
| h1(e13) != h4(op1(e12,e11))
| e22 = h4(op1(e12,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),h4(op1(e12,e11))) ),[0],$fot(e22)]]) ).
cnf(refute_13_789,plain,
( h1(e13) != h4(op1(e12,e11))
| e22 = h4(op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_13_327,refute_13_788]) ).
cnf(refute_13_790,plain,
( e22 = h4(op1(e12,e11))
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(h1(e13),h4(op1(e12,e11))) )],[refute_13_787,refute_13_789]) ).
cnf(refute_13_791,plain,
( e22 != h4(op1(e12,e11))
| h4(op1(e12,e11)) != op2(e23,e21)
| e22 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e21)) ),[0],$fot(h4(op1(e12,e11)))]]) ).
cnf(refute_13_792,plain,
( e22 != h4(op1(e12,e11))
| e22 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e23,e21)) )],[refute_13_610,refute_13_791]) ).
cnf(refute_13_793,plain,
( e22 = op2(e23,e21)
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(e22,h4(op1(e12,e11))) )],[refute_13_790,refute_13_792]) ).
cnf(refute_13_794,plain,
( e22 != op2(e23,e21)
| op2(e23,e21) = e22 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_13_795,plain,
( op1(e12,e10) = e10
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_13_793,refute_13_794]) ).
cnf(refute_13_796,plain,
( e22 != e22
| op2(e23,e21) != e22
| e22 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_13_797,plain,
( e22 != e22
| e22 = op2(e23,e21)
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_13_795,refute_13_796]) ).
cnf(refute_13_798,plain,
( e22 != e22
| e21 = h2(e10)
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_13_797,refute_13_764]) ).
cnf(refute_13_799,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_13_800,plain,
( e21 = h2(e10)
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_13_799,refute_13_798]) ).
cnf(refute_13_801,plain,
( op1(e12,e10) != e10
| op1(e12,e10) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e11) ),[0],$fot(e10)]]) ).
cnf(refute_13_802,plain,
( op1(e12,e10) != e11
| e10 = e11
| e21 = h2(e10) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_13_800,refute_13_801]) ).
cnf(refute_13_803,plain,
( e10 = e11
| e21 = h2(e10)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_13_745,refute_13_802]) ).
cnf(refute_13_804,plain,
( e21 = h2(e10)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_13_803,refute_13_625]) ).
cnf(refute_13_805,plain,
( e11 != e11
| e21 = h2(e10)
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_13_804,refute_13_647]) ).
cnf(refute_13_806,plain,
( e11 != e11
| e21 = h2(e10)
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_13_805,refute_13_716]) ).
cnf(refute_13_807,plain,
( e21 = h2(e10)
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_13_650,refute_13_806]) ).
cnf(refute_13_808,plain,
( e13 != e13
| e13 = op1(e13,e11)
| e21 = h2(e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_13_807,refute_13_641]) ).
cnf(refute_13_809,plain,
( e13 != e13
| e21 = h2(e10)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e13,op1(e13,e11)) )],[refute_13_808,refute_13_714]) ).
cnf(refute_13_810,plain,
( e21 = h2(e10)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_13_644,refute_13_809]) ).
cnf(refute_13_811,plain,
( h4(op1(e10,e10)) != e23
| op1(e10,e10) != e13
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),e23) ),[0,0],$fot(e13)]]) ).
cnf(refute_13_812,plain,
( h4(op1(e10,e10)) != e23
| e21 = h2(e10)
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_13_810,refute_13_811]) ).
cnf(refute_13_813,plain,
( e21 = h2(e10)
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e23) )],[refute_13_706,refute_13_812]) ).
cnf(refute_13_814,plain,
( e20 = e23
| e21 = h2(e10) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_13_813,refute_13_547]) ).
cnf(refute_13_815,plain,
e21 = h2(e10),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_13_814,refute_13_229]) ).
cnf(refute_13_816,plain,
( e21 != h2(e10)
| h2(e10) = e21 ),
inference(subst,[],[refute_13_8:[bind(X,$fot(e21)),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_13_817,plain,
h2(e10) = e21,
inference(resolve,[$cnf( $equal(e21,h2(e10)) )],[refute_13_815,refute_13_816]) ).
cnf(refute_13_818,plain,
( h2(e10) != e21
| h2(e10) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),e23) ),[0],$fot(e21)]]) ).
cnf(refute_13_819,plain,
( h2(e10) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h2(e10),e21) )],[refute_13_817,refute_13_818]) ).
cnf(refute_13_820,plain,
( e21 = e23
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(h2(e10),e23) )],[refute_13_651,refute_13_819]) ).
cnf(refute_13_821,plain,
op1(e10,e11) = e13,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_13_820,refute_13_550]) ).
cnf(refute_13_822,plain,
( op1(e10,e11) != e10
| op1(e10,e11) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[0],$fot(e13)]]) ).
cnf(refute_13_823,plain,
( op1(e10,e11) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_13_821,refute_13_822]) ).
cnf(refute_13_824,plain,
( e13 = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_13_0,refute_13_823]) ).
cnf(refute_13_825,plain,
( e21 = e23
| op1(e12,e11) = e10 ),
inference(resolve,[$cnf( $equal(h2(e10),e23) )],[refute_13_621,refute_13_819]) ).
cnf(refute_13_826,plain,
op1(e12,e11) = e10,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_13_825,refute_13_550]) ).
cnf(refute_13_827,plain,
( op1(e12,e11) != e10
| op1(e12,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_13_828,plain,
( op1(e12,e11) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_13_826,refute_13_827]) ).
cnf(refute_13_829,plain,
( e10 = e12
| e13 = e10
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_13_824,refute_13_828]) ).
cnf(refute_13_830,plain,
( e13 = e10
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_13_829,refute_13_775]) ).
cnf(refute_13_831,plain,
op1(e13,e11) = e13,
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_13_830,refute_13_770]) ).
cnf(refute_13_832,plain,
( e13 != op1(e13,e11)
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_13_821,refute_13_712]) ).
cnf(refute_13_833,plain,
e13 != op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_13_832,refute_13_707]) ).
cnf(refute_13_834,plain,
( op1(e13,e11) != e13
| e13 = op1(e13,e11) ),
inference(subst,[],[refute_13_8:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(e13))]]) ).
cnf(refute_13_835,plain,
op1(e13,e11) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e11)) )],[refute_13_834,refute_13_833]) ).
cnf(refute_13_836,plain,
$false,
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_13_831,refute_13_835]) ).
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,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e23) != e20
& op2(e23,e20) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) )
& ( ( op2(e22,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e23) != e22
& op2(e23,e22) = e23 ) )
& ( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_14_1,plain,
( ( op2(e23,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e22,e23) = e22 ) ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_2,plain,
( ( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e23,e22) != e23 )
& ( op2(e23,e20) != e23
| op2(e23,e21) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e20) != e23
| op2(e23,e22) != e23
| op2(e21,e23) = e21 )
& ( op2(e23,e20) != e23
| op2(e21,e23) = e21
| op2(e22,e23) = e22 )
& ( op2(e23,e21) != e23
| op2(e23,e22) != e23
| op2(e20,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e23) = e20
| op2(e22,e23) = e22 )
& ( op2(e23,e22) != e23
| op2(e20,e23) = e20
| op2(e21,e23) = e21 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ) ),
inference(clausify,[],[normalize_14_1]) ).
fof(normalize_14_3,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(conjunct,[],[normalize_14_2]) ).
fof(normalize_14_4,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_14_5,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_6,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_14_7,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_14_6]) ).
fof(normalize_14_8,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_14_6]) ).
fof(normalize_14_9,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_14_6]) ).
fof(normalize_14_10,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_14_11,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_14_10]) ).
fof(normalize_14_12,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_14_13,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_14_12]) ).
fof(normalize_14_14,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_15,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_14_14]) ).
fof(normalize_14_16,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_14_17,plain,
e20 != e23,
inference(conjunct,[],[normalize_14_16]) ).
fof(normalize_14_18,plain,
e21 != e23,
inference(conjunct,[],[normalize_14_16]) ).
fof(normalize_14_19,plain,
e20 != e21,
inference(conjunct,[],[normalize_14_16]) ).
fof(normalize_14_20,plain,
op2(e22,e21) != op2(e22,e23),
inference(conjunct,[],[normalize_14_14]) ).
fof(normalize_14_21,plain,
( ( op2(e21,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e23) != e21
& op2(e23,e21) = e23 ) ),
inference(conjunct,[],[normalize_14_0]) ).
fof(normalize_14_22,plain,
( ( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e21,e23) != e21 )
& ( op2(e21,e20) != e21
| op2(e21,e22) != e21
| op2(e23,e21) = e23 )
& ( op2(e21,e20) != e21
| op2(e21,e23) != e21
| op2(e22,e21) = e22 )
& ( op2(e21,e20) != e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e21,e22) != e21
| op2(e21,e23) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e22) != e21
| op2(e20,e21) = e20
| op2(e23,e21) = e23 )
& ( op2(e21,e23) != e21
| op2(e20,e21) = e20
| op2(e22,e21) = e22 )
& ( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ) ),
inference(clausify,[],[normalize_14_21]) ).
fof(normalize_14_23,plain,
( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_14_22]) ).
fof(normalize_14_24,plain,
op2(e23,e20) != op2(e23,e21),
inference(conjunct,[],[normalize_14_14]) ).
fof(normalize_14_25,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_26,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_14_27,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_14_26]) ).
fof(normalize_14_28,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_14_29,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_14_28]) ).
fof(normalize_14_30,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_31,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_25,normalize_14_27,normalize_14_29,normalize_14_30]) ).
fof(normalize_14_32,plain,
h4(op1(e12,e13)) = op2(h4(e12),h4(e13)),
inference(conjunct,[],[normalize_14_31]) ).
fof(normalize_14_33,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_14_12]) ).
fof(normalize_14_34,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_35,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_14_34]) ).
fof(normalize_14_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_14_37,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_14_36]) ).
fof(normalize_14_38,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_14_39,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_14_38]) ).
fof(normalize_14_40,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_14_36]) ).
fof(normalize_14_41,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_14_38]) ).
fof(normalize_14_42,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_14_36]) ).
fof(normalize_14_43,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(conjunct,[],[normalize_14_38]) ).
fof(normalize_14_44,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_14_10]) ).
fof(normalize_14_45,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_14_26]) ).
fof(normalize_14_46,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_14_14]) ).
fof(normalize_14_47,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_14_14]) ).
cnf(refute_14_0,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(canonicalize,[],[normalize_14_3]) ).
cnf(refute_14_1,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_14_5]) ).
cnf(refute_14_2,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_14_7]) ).
cnf(refute_14_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_14_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_14_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_14_3,refute_14_4]) ).
cnf(refute_14_6,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_14_7,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_14_2,refute_14_6]) ).
cnf(refute_14_8,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_14_9,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_14_10,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_14_8,refute_14_9]) ).
cnf(refute_14_11,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_14_7,refute_14_10]) ).
cnf(refute_14_12,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_14_8]) ).
cnf(refute_14_13,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = e20 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_14_14,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_14_12,refute_14_13]) ).
cnf(refute_14_15,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_14_16,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) ),[1,0],$fot(e20)]]) ).
cnf(refute_14_17,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_14_15,refute_14_16]) ).
cnf(refute_14_18,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e20) )],[refute_14_14,refute_14_17]) ).
cnf(refute_14_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_14_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_14_5,refute_14_19]) ).
cnf(refute_14_21,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(subst,[],[refute_14_20:[bind(X,$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))),bind(Y,$fot(op2(e20,op2(e22,e22)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_14_22,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_14_18,refute_14_21]) ).
cnf(refute_14_23,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_14_11,refute_14_22]) ).
cnf(refute_14_24,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,e23)
| h3(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e20,e23)) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_14_25,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| h3(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,e23)) )],[refute_14_23,refute_14_24]) ).
cnf(refute_14_26,plain,
h3(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_14_1,refute_14_25]) ).
cnf(refute_14_27,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_14_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_14_28,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_14_26,refute_14_27]) ).
cnf(refute_14_29,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_14_30,plain,
( op2(e20,e23) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_14_28,refute_14_29]) ).
cnf(refute_14_31,plain,
( h3(e11) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_14_0,refute_14_30]) ).
cnf(refute_14_32,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_14_9]) ).
cnf(refute_14_33,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,op2(e22,e22))) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_14_34,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_14_18,refute_14_33]) ).
cnf(refute_14_35,plain,
e21 = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(e21,op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_14_32,refute_14_34]) ).
cnf(refute_14_36,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(subst,[],[refute_14_20:[bind(X,$fot(op2(e20,op2(e22,e22)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_14_37,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_14_11,refute_14_36]) ).
cnf(refute_14_38,plain,
op2(e20,op2(e22,e22)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_14_28,refute_14_37]) ).
cnf(refute_14_39,plain,
( e21 != op2(e20,op2(e22,e22))
| op2(e20,op2(e22,e22)) != h3(e11)
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[0],$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_14_40,plain,
( e21 != op2(e20,op2(e22,e22))
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),h3(e11)) )],[refute_14_38,refute_14_39]) ).
cnf(refute_14_41,plain,
e21 = h3(e11),
inference(resolve,[$cnf( $equal(e21,op2(e20,op2(e22,e22))) )],[refute_14_35,refute_14_40]) ).
cnf(refute_14_42,plain,
( e21 != h3(e11)
| h3(e11) = e21 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e21)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_14_43,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_14_41,refute_14_42]) ).
cnf(refute_14_44,plain,
( h3(e11) != e20
| h3(e11) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e20) ),[0],$fot(e21)]]) ).
cnf(refute_14_45,plain,
( h3(e11) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_14_43,refute_14_44]) ).
cnf(refute_14_46,plain,
( e21 = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_14_31,refute_14_45]) ).
cnf(refute_14_47,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_14_11]) ).
cnf(refute_14_48,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_14_49,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_14_28,refute_14_48]) ).
cnf(refute_14_50,plain,
( h3(e11) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_14_47,refute_14_49]) ).
cnf(refute_14_51,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_14_13]) ).
cnf(refute_14_52,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_14_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_14_53,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_14_51,refute_14_52]) ).
cnf(refute_14_54,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != h4(e13)
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).
cnf(refute_14_55,plain,
( op2(e23,e23) != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_14_53,refute_14_54]) ).
cnf(refute_14_56,plain,
( h3(e11) = e23
| h4(e13) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_14_50,refute_14_55]) ).
cnf(refute_14_57,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_14_15]) ).
cnf(refute_14_58,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) != e23
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_14_59,plain,
( e23 != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_14_7,refute_14_58]) ).
cnf(refute_14_60,plain,
e23 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_14_59,refute_14_57]) ).
cnf(refute_14_61,plain,
( op2(e22,e23) != e23
| e23 = op2(e22,e23) ),
inference(subst,[],[refute_14_5:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).
cnf(refute_14_62,plain,
op2(e22,e23) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_14_61,refute_14_60]) ).
cnf(refute_14_63,plain,
( h3(e11) = e23
| h4(e13) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_14_56,refute_14_62]) ).
cnf(refute_14_64,plain,
( h3(e11) != e21
| h3(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_14_65,plain,
( h3(e11) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_14_43,refute_14_64]) ).
cnf(refute_14_66,plain,
( e21 = e23
| h4(e13) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_14_63,refute_14_65]) ).
cnf(refute_14_67,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_14_68,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_14_69,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_14_67,refute_14_68]) ).
cnf(refute_14_70,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_14_7,refute_14_69]) ).
cnf(refute_14_71,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_14_72,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_14_73,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_14_71,refute_14_72]) ).
cnf(refute_14_74,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_14_7,refute_14_73]) ).
cnf(refute_14_75,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_14_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_14_76,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_14_74,refute_14_75]) ).
cnf(refute_14_77,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_14_70,refute_14_76]) ).
cnf(refute_14_78,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_14_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_14_79,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_14_77,refute_14_78]) ).
cnf(refute_14_80,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_14_53,refute_14_79]) ).
cnf(refute_14_81,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_14_82,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_14_80,refute_14_81]) ).
cnf(refute_14_83,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_14_12,refute_14_82]) ).
cnf(refute_14_84,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_14_85,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_14_83,refute_14_84]) ).
cnf(refute_14_86,plain,
( h4(e13) != e20
| h4(e13) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e20)]]) ).
cnf(refute_14_87,plain,
( h4(e13) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_14_85,refute_14_86]) ).
cnf(refute_14_88,plain,
( e20 = e23
| e21 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_14_66,refute_14_87]) ).
cnf(refute_14_89,plain,
e20 != e23,
inference(canonicalize,[],[normalize_14_17]) ).
cnf(refute_14_90,plain,
( e21 = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_14_88,refute_14_89]) ).
cnf(refute_14_91,plain,
e21 != e23,
inference(canonicalize,[],[normalize_14_18]) ).
cnf(refute_14_92,plain,
op2(e21,e23) = e23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_14_90,refute_14_91]) ).
cnf(refute_14_93,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(e23)]]) ).
cnf(refute_14_94,plain,
( op2(e21,e23) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_14_92,refute_14_93]) ).
cnf(refute_14_95,plain,
( e21 = e20
| e23 = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_14_46,refute_14_94]) ).
cnf(refute_14_96,plain,
e20 != e21,
inference(canonicalize,[],[normalize_14_19]) ).
cnf(refute_14_97,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_14_98,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_14_97,refute_14_96]) ).
cnf(refute_14_99,plain,
( e23 = e21
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_14_95,refute_14_98]) ).
cnf(refute_14_100,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_14_101,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_14_100,refute_14_91]) ).
cnf(refute_14_102,plain,
op2(e22,e23) = e22,
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_14_99,refute_14_101]) ).
cnf(refute_14_103,plain,
op2(e22,e21) != op2(e22,e23),
inference(canonicalize,[],[normalize_14_20]) ).
cnf(refute_14_104,plain,
( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_14_23]) ).
cnf(refute_14_105,plain,
op2(e23,e20) != op2(e23,e21),
inference(canonicalize,[],[normalize_14_24]) ).
cnf(refute_14_106,plain,
h4(op1(e12,e13)) = op2(h4(e12),h4(e13)),
inference(canonicalize,[],[normalize_14_32]) ).
cnf(refute_14_107,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_14_108,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_14_109,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_14_107,refute_14_108]) ).
cnf(refute_14_110,plain,
op2(e23,h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_14_85,refute_14_109]) ).
cnf(refute_14_111,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_14_33]) ).
cnf(refute_14_112,plain,
op2(h4(e12),h4(e13)) = op2(h4(e12),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_14_113,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_14_114,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) )],[refute_14_112,refute_14_113]) ).
cnf(refute_14_115,plain,
op2(h4(e12),h4(e13)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_14_111,refute_14_114]) ).
cnf(refute_14_116,plain,
( op2(e23,h4(e13)) != op2(e23,e20)
| op2(h4(e12),h4(e13)) != op2(e23,h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,e20) ),
inference(subst,[],[refute_14_20:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e23,h4(e13)))),bind(Z,$fot(op2(e23,e20)))]]) ).
cnf(refute_14_117,plain,
( op2(e23,h4(e13)) != op2(e23,e20)
| op2(h4(e12),h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,h4(e13))) )],[refute_14_115,refute_14_116]) ).
cnf(refute_14_118,plain,
op2(h4(e12),h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e20)) )],[refute_14_110,refute_14_117]) ).
cnf(refute_14_119,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) != op2(e23,e20)
| h4(op1(e12,e13)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(e23,e20)) ),[0],$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_14_120,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,e20)) )],[refute_14_118,refute_14_119]) ).
cnf(refute_14_121,plain,
h4(op1(e12,e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) )],[refute_14_106,refute_14_120]) ).
cnf(refute_14_122,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_14_35]) ).
cnf(refute_14_123,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_14_37]) ).
cnf(refute_14_124,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_14_39]) ).
cnf(refute_14_125,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_14_126,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_14_124,refute_14_125]) ).
cnf(refute_14_127,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_14_128,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_14_126,refute_14_127]) ).
cnf(refute_14_129,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_14_128,refute_14_123]) ).
cnf(refute_14_130,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_14_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_14_131,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_14_130,refute_14_129]) ).
cnf(refute_14_132,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_14_122,refute_14_131]) ).
cnf(refute_14_133,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_14_40]) ).
cnf(refute_14_134,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_14_41]) ).
cnf(refute_14_135,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_14_136,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_14_137,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_14_135,refute_14_136]) ).
cnf(refute_14_138,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_14_126,refute_14_137]) ).
cnf(refute_14_139,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_14_140,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_14_141,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_14_139,refute_14_140]) ).
cnf(refute_14_142,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_14_126,refute_14_141]) ).
cnf(refute_14_143,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_14_20:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_14_144,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_14_142,refute_14_143]) ).
cnf(refute_14_145,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_14_138,refute_14_144]) ).
cnf(refute_14_146,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_14_147,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_14_145,refute_14_146]) ).
cnf(refute_14_148,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_14_134,refute_14_147]) ).
cnf(refute_14_149,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_14_150,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_14_148,refute_14_149]) ).
cnf(refute_14_151,plain,
( op1(e12,e13) != e10
| op1(e13,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_14_152,plain,
( op1(e12,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_14_150,refute_14_151]) ).
cnf(refute_14_153,plain,
op1(e12,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_14_152,refute_14_133]) ).
cnf(refute_14_154,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_14_132,refute_14_153]) ).
cnf(refute_14_155,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_14_42]) ).
cnf(refute_14_156,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(canonicalize,[],[normalize_14_43]) ).
cnf(refute_14_157,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = e10 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e12,e12),op1(e12,e12))))]]) ).
cnf(refute_14_158,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_14_134,refute_14_157]) ).
cnf(refute_14_159,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_14_160,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_14_161,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_14_159,refute_14_160]) ).
cnf(refute_14_162,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e10) )],[refute_14_158,refute_14_161]) ).
cnf(refute_14_163,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(e10,op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,op1(e12,e12))) ),[0],$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_14_164,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_14_162,refute_14_163]) ).
cnf(refute_14_165,plain,
e11 = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(e11,op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_14_156,refute_14_164]) ).
cnf(refute_14_166,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_14_167,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_14_168,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_14_166,refute_14_167]) ).
cnf(refute_14_169,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_14_126,refute_14_168]) ).
cnf(refute_14_170,plain,
( e11 != op1(e10,op1(e12,e12))
| op1(e10,op1(e12,e12)) != op1(e10,e13)
| e11 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e13)) ),[0],$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_14_171,plain,
( e11 != op1(e10,op1(e12,e12))
| e11 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_14_169,refute_14_170]) ).
cnf(refute_14_172,plain,
e11 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e11,op1(e10,op1(e12,e12))) )],[refute_14_165,refute_14_171]) ).
cnf(refute_14_173,plain,
( e11 != op1(e10,e13)
| op1(e10,e13) = e11 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_14_174,plain,
op1(e10,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_14_172,refute_14_173]) ).
cnf(refute_14_175,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_14_176,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_14_174,refute_14_175]) ).
cnf(refute_14_177,plain,
e11 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_14_176,refute_14_155]) ).
cnf(refute_14_178,plain,
( op1(e12,e13) != e11
| e11 = op1(e12,e13) ),
inference(subst,[],[refute_14_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e11))]]) ).
cnf(refute_14_179,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_14_178,refute_14_177]) ).
cnf(refute_14_180,plain,
op1(e12,e13) = e12,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_14_154,refute_14_179]) ).
cnf(refute_14_181,plain,
h4(op1(e12,e13)) = h4(op1(e12,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e13)))]]) ).
cnf(refute_14_182,plain,
( h4(op1(e12,e13)) != h4(op1(e12,e13))
| op1(e12,e13) != e12
| h4(op1(e12,e13)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_14_183,plain,
( op1(e12,e13) != e12
| h4(op1(e12,e13)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) )],[refute_14_181,refute_14_182]) ).
cnf(refute_14_184,plain,
h4(op1(e12,e13)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_14_180,refute_14_183]) ).
cnf(refute_14_185,plain,
( h4(e12) != e23
| h4(op1(e12,e13)) != h4(e12)
| h4(op1(e12,e13)) = e23 ),
inference(subst,[],[refute_14_20:[bind(X,$fot(h4(op1(e12,e13)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).
cnf(refute_14_186,plain,
( h4(e12) != e23
| h4(op1(e12,e13)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(e12)) )],[refute_14_184,refute_14_185]) ).
cnf(refute_14_187,plain,
h4(op1(e12,e13)) = e23,
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_14_111,refute_14_186]) ).
cnf(refute_14_188,plain,
( h4(op1(e12,e13)) != e23
| h4(op1(e12,e13)) != op2(e23,e20)
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e20)) ),[0],$fot(e23)]]) ).
cnf(refute_14_189,plain,
( h4(op1(e12,e13)) != op2(e23,e20)
| e23 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),e23) )],[refute_14_187,refute_14_188]) ).
cnf(refute_14_190,plain,
e23 = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e20)) )],[refute_14_121,refute_14_189]) ).
cnf(refute_14_191,plain,
( e23 != op2(e23,e20)
| op2(e23,e20) = e23 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_14_192,plain,
op2(e23,e20) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_14_190,refute_14_191]) ).
cnf(refute_14_193,plain,
( e23 != op2(e23,e21)
| op2(e23,e20) != e23
| op2(e23,e20) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_14_194,plain,
( e23 != op2(e23,e21)
| op2(e23,e20) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_14_192,refute_14_193]) ).
cnf(refute_14_195,plain,
e23 != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e21)) )],[refute_14_194,refute_14_105]) ).
cnf(refute_14_196,plain,
( op2(e23,e21) != e23
| e23 = op2(e23,e21) ),
inference(subst,[],[refute_14_5:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e23))]]) ).
cnf(refute_14_197,plain,
op2(e23,e21) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e21)) )],[refute_14_196,refute_14_195]) ).
cnf(refute_14_198,plain,
( op2(e20,e21) = e20
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_14_104,refute_14_197]) ).
cnf(refute_14_199,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_14_44]) ).
cnf(refute_14_200,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_14_45]) ).
cnf(refute_14_201,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_14_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_14_202,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_14_200,refute_14_201]) ).
cnf(refute_14_203,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_14_204,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_14_202,refute_14_203]) ).
cnf(refute_14_205,plain,
( h1(e13) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_14_199,refute_14_204]) ).
cnf(refute_14_206,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_14_205,refute_14_49]) ).
cnf(refute_14_207,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_14_46]) ).
cnf(refute_14_208,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_14_209,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_14_7,refute_14_208]) ).
cnf(refute_14_210,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_14_209,refute_14_207]) ).
cnf(refute_14_211,plain,
( h1(e13) = e23
| h3(e11) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_14_206,refute_14_210]) ).
cnf(refute_14_212,plain,
( e21 = e23
| h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_14_211,refute_14_65]) ).
cnf(refute_14_213,plain,
( h1(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_14_212,refute_14_91]) ).
cnf(refute_14_214,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_14_47]) ).
cnf(refute_14_215,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_14_216,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_14_202,refute_14_215]) ).
cnf(refute_14_217,plain,
h1(e13) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_14_216,refute_14_214]) ).
cnf(refute_14_218,plain,
( h1(e13) != e23
| op2(e23,e20) != e23
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_14_219,plain,
( h1(e13) != e23
| h1(e13) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_14_192,refute_14_218]) ).
cnf(refute_14_220,plain,
h1(e13) != e23,
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_14_219,refute_14_217]) ).
cnf(refute_14_221,plain,
op2(e20,e21) = e23,
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_14_213,refute_14_220]) ).
cnf(refute_14_222,plain,
( op2(e20,e21) != e20
| op2(e20,e21) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(e23)]]) ).
cnf(refute_14_223,plain,
( op2(e20,e21) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_14_221,refute_14_222]) ).
cnf(refute_14_224,plain,
( e23 = e20
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_14_198,refute_14_223]) ).
cnf(refute_14_225,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_14_226,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_14_225,refute_14_89]) ).
cnf(refute_14_227,plain,
op2(e22,e21) = e22,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_14_224,refute_14_226]) ).
cnf(refute_14_228,plain,
( e22 != op2(e22,e23)
| op2(e22,e21) != e22
| op2(e22,e21) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_14_229,plain,
( e22 != op2(e22,e23)
| op2(e22,e21) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_14_227,refute_14_228]) ).
cnf(refute_14_230,plain,
e22 != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e23)) )],[refute_14_229,refute_14_103]) ).
cnf(refute_14_231,plain,
( op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
inference(subst,[],[refute_14_5:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e22))]]) ).
cnf(refute_14_232,plain,
op2(e22,e23) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_14_231,refute_14_230]) ).
cnf(refute_14_233,plain,
$false,
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_14_102,refute_14_232]) ).
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(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_15_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_15_1]) ).
fof(normalize_15_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_15_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_15_3]) ).
fof(normalize_15_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_15_6,plain,
h3(e12) = 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(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_15_10,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_15_9]) ).
fof(normalize_15_11,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_15_1]) ).
fof(normalize_15_12,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_15_13,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_15_12]) ).
fof(normalize_15_14,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_15_9]) ).
fof(normalize_15_15,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_15_12]) ).
fof(normalize_15_16,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_15_17,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_15_16]) ).
fof(normalize_15_18,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_15_16]) ).
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(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_15_10]) ).
cnf(refute_15_2,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_15_11]) ).
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( $equal(X,X) )],[refute_15_3,refute_15_4]) ).
cnf(refute_15_6,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_15_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_15_7,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_15_2,refute_15_6]) ).
cnf(refute_15_8,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_15_13]) ).
cnf(refute_15_9,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_15_14]) ).
cnf(refute_15_10,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_15_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_15_11,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_15_9,refute_15_10]) ).
cnf(refute_15_12,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_15_15]) ).
cnf(refute_15_13,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_15_14,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_15_12,refute_15_13]) ).
cnf(refute_15_15,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_15_16,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_15_17,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_15_15,refute_15_16]) ).
cnf(refute_15_18,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_15_14,refute_15_17]) ).
cnf(refute_15_19,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_15_20,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_15_21,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_15_19,refute_15_20]) ).
cnf(refute_15_22,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_15_14,refute_15_21]) ).
cnf(refute_15_23,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_15_24,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_15_5,refute_15_23]) ).
cnf(refute_15_25,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_15_24:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_15_26,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_15_22,refute_15_25]) ).
cnf(refute_15_27,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_15_18,refute_15_26]) ).
cnf(refute_15_28,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_15_24:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_15_29,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_15_27,refute_15_28]) ).
cnf(refute_15_30,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_15_11,refute_15_29]) ).
cnf(refute_15_31,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_15_32,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_15_30,refute_15_31]) ).
cnf(refute_15_33,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_15_8,refute_15_32]) ).
cnf(refute_15_34,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_15_35,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_15_33,refute_15_34]) ).
cnf(refute_15_36,plain,
( h4(e13) != e20
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_15_24:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_15_37,plain,
( h4(e13) != e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_15_11,refute_15_36]) ).
cnf(refute_15_38,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_15_35,refute_15_37]) ).
cnf(refute_15_39,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_15_40,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_15_41,plain,
( op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_15_39,refute_15_40]) ).
cnf(refute_15_42,plain,
op2(e20,op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_15_38,refute_15_41]) ).
cnf(refute_15_43,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_15_44,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,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(e20)]]) ).
cnf(refute_15_45,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_15_43,refute_15_44]) ).
cnf(refute_15_46,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_15_38,refute_15_45]) ).
cnf(refute_15_47,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(subst,[],[refute_15_24:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_15_48,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_15_46,refute_15_47]) ).
cnf(refute_15_49,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_15_42,refute_15_48]) ).
cnf(refute_15_50,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(subst,[],[refute_15_24:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_15_51,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_15_49,refute_15_50]) ).
cnf(refute_15_52,plain,
op2(op2(e23,e23),op2(e23,e23)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_15_7,refute_15_51]) ).
cnf(refute_15_53,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_15_54,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h1(e13)) )],[refute_15_52,refute_15_53]) ).
cnf(refute_15_55,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_15_1,refute_15_54]) ).
cnf(refute_15_56,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_15_17]) ).
cnf(refute_15_57,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_15_18]) ).
cnf(refute_15_58,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_15_59,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_15_57,refute_15_58]) ).
cnf(refute_15_60,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_15_61,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_15_62,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_15_60,refute_15_61]) ).
cnf(refute_15_63,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_15_59,refute_15_62]) ).
cnf(refute_15_64,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_15_65,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_15_66,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_15_64,refute_15_65]) ).
cnf(refute_15_67,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_15_59,refute_15_66]) ).
cnf(refute_15_68,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_15_24:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_15_69,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_15_67,refute_15_68]) ).
cnf(refute_15_70,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_15_63,refute_15_69]) ).
cnf(refute_15_71,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_15_72,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_15_70,refute_15_71]) ).
cnf(refute_15_73,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_15_56,refute_15_72]) ).
cnf(refute_15_74,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_15_75,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_15_73,refute_15_74]) ).
cnf(refute_15_76,plain,
h4(op1(e13,e13)) = h4(op1(e13,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e13)))]]) ).
cnf(refute_15_77,plain,
( h4(op1(e13,e13)) != h4(op1(e13,e13))
| op1(e13,e13) != e10
| h4(op1(e13,e13)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_15_78,plain,
( op1(e13,e13) != e10
| h4(op1(e13,e13)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) )],[refute_15_76,refute_15_77]) ).
cnf(refute_15_79,plain,
h4(op1(e13,e13)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_15_75,refute_15_78]) ).
cnf(refute_15_80,plain,
( h4(e10) != h1(e13)
| h4(op1(e13,e13)) != h4(e10)
| h4(op1(e13,e13)) = h1(e13) ),
inference(subst,[],[refute_15_24:[bind(X,$fot(h4(op1(e13,e13)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_15_81,plain,
( h4(e10) != h1(e13)
| h4(op1(e13,e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(e10)) )],[refute_15_79,refute_15_80]) ).
cnf(refute_15_82,plain,
h4(op1(e13,e13)) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_15_55,refute_15_81]) ).
cnf(refute_15_83,plain,
( h1(e13) != op2(h4(e13),h4(e13))
| h4(op1(e13,e13)) != h1(e13)
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),h1(e13)) ),[1],$fot(op2(h4(e13),h4(e13)))]]) ).
cnf(refute_15_84,plain,
( h1(e13) != op2(h4(e13),h4(e13))
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h1(e13)) )],[refute_15_82,refute_15_83]) ).
cnf(refute_15_85,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_15_86,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_15_87,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_15_85,refute_15_86]) ).
cnf(refute_15_88,plain,
op2(e20,h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_15_35,refute_15_87]) ).
cnf(refute_15_89,plain,
op2(h4(e13),h4(e13)) = op2(h4(e13),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e13)))]]) ).
cnf(refute_15_90,plain,
( h4(e13) != e20
| op2(h4(e13),h4(e13)) != op2(h4(e13),h4(e13))
| op2(h4(e13),h4(e13)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(h4(e13),h4(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_15_91,plain,
( h4(e13) != e20
| op2(h4(e13),h4(e13)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(h4(e13),h4(e13))) )],[refute_15_89,refute_15_90]) ).
cnf(refute_15_92,plain,
op2(h4(e13),h4(e13)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_15_35,refute_15_91]) ).
cnf(refute_15_93,plain,
( op2(e20,h4(e13)) != op2(e20,e20)
| op2(h4(e13),h4(e13)) != op2(e20,h4(e13))
| op2(h4(e13),h4(e13)) = op2(e20,e20) ),
inference(subst,[],[refute_15_24:[bind(X,$fot(op2(h4(e13),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_15_94,plain,
( op2(e20,h4(e13)) != op2(e20,e20)
| op2(h4(e13),h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(e20,h4(e13))) )],[refute_15_92,refute_15_93]) ).
cnf(refute_15_95,plain,
op2(h4(e13),h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_15_88,refute_15_94]) ).
cnf(refute_15_96,plain,
( op2(e20,e20) != h1(e13)
| op2(h4(e13),h4(e13)) != op2(e20,e20)
| op2(h4(e13),h4(e13)) = h1(e13) ),
inference(subst,[],[refute_15_24:[bind(X,$fot(op2(h4(e13),h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_15_97,plain,
( op2(e20,e20) != h1(e13)
| op2(h4(e13),h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(e20,e20)) )],[refute_15_95,refute_15_96]) ).
cnf(refute_15_98,plain,
op2(h4(e13),h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_15_7,refute_15_97]) ).
cnf(refute_15_99,plain,
( h1(e13) != h1(e13)
| op2(h4(e13),h4(e13)) != h1(e13)
| h1(e13) = op2(h4(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(h4(e13),h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_15_100,plain,
( h1(e13) != h1(e13)
| h1(e13) = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),h1(e13)) )],[refute_15_98,refute_15_99]) ).
cnf(refute_15_101,plain,
( h1(e13) != h1(e13)
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h4(e13),h4(e13))) )],[refute_15_100,refute_15_84]) ).
cnf(refute_15_102,plain,
h1(e13) != h1(e13),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),op2(h4(e13),h4(e13))) )],[refute_15_101,refute_15_0]) ).
cnf(refute_15_103,plain,
h1(e13) = h1(e13),
introduced(tautology,[refl,[$fot(h1(e13))]]) ).
cnf(refute_15_104,plain,
$false,
inference(resolve,[$cnf( $equal(h1(e13),h1(e13)) )],[refute_15_103,refute_15_102]) ).
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(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_16_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_16_1]) ).
fof(normalize_16_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_16_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_16_3]) ).
fof(normalize_16_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_16_6,plain,
h3(e12) = 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(e13) != e20,
inference(conjunct,[],[normalize_16_7]) ).
fof(normalize_16_9,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_16_10,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_16_9]) ).
fof(normalize_16_11,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_16_12,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_16_11]) ).
fof(normalize_16_13,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_16_9]) ).
cnf(refute_16_0,plain,
h4(e13) != e20,
inference(canonicalize,[],[normalize_16_8]) ).
cnf(refute_16_1,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_16_10]) ).
cnf(refute_16_2,plain,
h4(e13) = 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( $equal(X,X) )],[refute_16_3,refute_16_4]) ).
cnf(refute_16_6,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_16_7,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_16_2,refute_16_6]) ).
cnf(refute_16_8,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_16_13]) ).
cnf(refute_16_9,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_16_10,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_16_8,refute_16_9]) ).
cnf(refute_16_11,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_16_12,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_16_13,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_16_11,refute_16_12]) ).
cnf(refute_16_14,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_10,refute_16_13]) ).
cnf(refute_16_15,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_16_16,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_16_17,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_16_15,refute_16_16]) ).
cnf(refute_16_18,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_10,refute_16_17]) ).
cnf(refute_16_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_16_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_16_5,refute_16_19]) ).
cnf(refute_16_21,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_16_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_16_22,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_16_18,refute_16_21]) ).
cnf(refute_16_23,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_16_14,refute_16_22]) ).
cnf(refute_16_24,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_16_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_16_25,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_16_23,refute_16_24]) ).
cnf(refute_16_26,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_16_7,refute_16_25]) ).
cnf(refute_16_27,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_16_28,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_16_26,refute_16_27]) ).
cnf(refute_16_29,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_16_1,refute_16_28]) ).
cnf(refute_16_30,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_16_31,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_16_29,refute_16_30]) ).
cnf(refute_16_32,plain,
( e20 != e20
| h4(e13) != e20
| h4(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[1],$fot(e20)]]) ).
cnf(refute_16_33,plain,
( e20 != e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_16_31,refute_16_32]) ).
cnf(refute_16_34,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_16_33,refute_16_0]) ).
cnf(refute_16_35,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_16_36,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_16_35,refute_16_34]) ).
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,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_17_1,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_2,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_17_3,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_17_2]) ).
fof(normalize_17_4,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_17_2]) ).
fof(normalize_17_5,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_17_2]) ).
fof(normalize_17_6,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_7,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_17_8,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_9,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_17_10,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_17_9]) ).
fof(normalize_17_11,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_17_0]) ).
fof(normalize_17_12,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_6,normalize_17_8,normalize_17_10,normalize_17_11]) ).
fof(normalize_17_13,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_14,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_17_15,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_17_14]) ).
fof(normalize_17_16,plain,
h4(op1(e13,e12)) = op2(h4(e13),h4(e12)),
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_17,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_17_14]) ).
fof(normalize_17_18,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_17_19,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_20,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_17_21,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_17_20]) ).
fof(normalize_17_22,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_17_23,plain,
e12 != e13,
inference(conjunct,[],[normalize_17_22]) ).
fof(normalize_17_24,plain,
( ( ( op1(e10,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e13) != e10
& op1(e13,e10) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e13) != e11
& op1(e13,e11) = e13 ) )
& ( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) )
& ( ( op1(e13,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e12,e13) = e12 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_17_25,plain,
( ( op1(e12,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e13) != e12
& op1(e13,e12) = e13 ) ),
inference(conjunct,[],[normalize_17_24]) ).
fof(normalize_17_26,plain,
( ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e12,e13) != e12 )
& ( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e13,e12) = e13 )
& ( op1(e12,e10) != e12
| op1(e12,e13) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e10) != e12
| op1(e11,e12) = e11
| op1(e13,e12) = e13 )
& ( op1(e12,e11) != e12
| op1(e12,e13) != e12
| op1(e10,e12) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e12) = e10
| op1(e13,e12) = e13 )
& ( op1(e12,e13) != e12
| op1(e10,e12) = e10
| op1(e11,e12) = e11 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ) ),
inference(clausify,[],[normalize_17_25]) ).
fof(normalize_17_27,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(conjunct,[],[normalize_17_26]) ).
fof(normalize_17_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_17_29,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_17_28]) ).
fof(normalize_17_30,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_31,plain,
e10 != e13,
inference(conjunct,[],[normalize_17_22]) ).
fof(normalize_17_32,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_17_28]) ).
fof(normalize_17_33,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_17_20]) ).
fof(normalize_17_34,plain,
e10 != e11,
inference(conjunct,[],[normalize_17_22]) ).
fof(normalize_17_35,plain,
e10 != e12,
inference(conjunct,[],[normalize_17_22]) ).
fof(normalize_17_36,plain,
h4(e12) != e21,
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_37,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_17_38,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(conjunct,[],[normalize_17_37]) ).
fof(normalize_17_39,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_17_40,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_17_39]) ).
fof(normalize_17_41,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(conjunct,[],[normalize_17_14]) ).
fof(normalize_17_42,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_17_14]) ).
fof(normalize_17_43,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_44,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_45,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_17_37]) ).
fof(normalize_17_46,plain,
h4(e10) != e21,
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_47,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_17_48,plain,
e20 != e23,
inference(conjunct,[],[normalize_17_47]) ).
fof(normalize_17_49,plain,
e20 != e22,
inference(conjunct,[],[normalize_17_47]) ).
fof(normalize_17_50,plain,
h4(e11) != e21,
inference(conjunct,[],[normalize_17_12]) ).
fof(normalize_17_51,plain,
op2(e20,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_17_39]) ).
fof(normalize_17_52,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_17_39]) ).
cnf(refute_17_0,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_17_1]) ).
cnf(refute_17_1,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_17_3]) ).
cnf(refute_17_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_17_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_17_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_17_2,refute_17_3]) ).
cnf(refute_17_5,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_17_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_17_6,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_17_1,refute_17_5]) ).
cnf(refute_17_7,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_17_8,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_17_9,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_17_7,refute_17_8]) ).
cnf(refute_17_10,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_6,refute_17_9]) ).
cnf(refute_17_11,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_17_4]) ).
cnf(refute_17_12,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = e20 ),
inference(subst,[],[refute_17_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_17_13,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_17_11,refute_17_12]) ).
cnf(refute_17_14,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_17_15,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) ),[1,0],$fot(e20)]]) ).
cnf(refute_17_16,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_17_14,refute_17_15]) ).
cnf(refute_17_17,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e20) )],[refute_17_13,refute_17_16]) ).
cnf(refute_17_18,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_17_19,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_17_4,refute_17_18]) ).
cnf(refute_17_20,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(subst,[],[refute_17_19:[bind(X,$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))),bind(Y,$fot(op2(e20,op2(e22,e22)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_17_21,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_17_17,refute_17_20]) ).
cnf(refute_17_22,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_17_10,refute_17_21]) ).
cnf(refute_17_23,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,e23)
| h3(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e20,e23)) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_17_24,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| h3(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,e23)) )],[refute_17_22,refute_17_23]) ).
cnf(refute_17_25,plain,
h3(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_17_0,refute_17_24]) ).
cnf(refute_17_26,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_17_5]) ).
cnf(refute_17_27,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,op2(e22,e22))) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_17_28,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_17_17,refute_17_27]) ).
cnf(refute_17_29,plain,
e21 = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(e21,op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_17_26,refute_17_28]) ).
cnf(refute_17_30,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_17_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_17_31,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_17_25,refute_17_30]) ).
cnf(refute_17_32,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(subst,[],[refute_17_19:[bind(X,$fot(op2(e20,op2(e22,e22)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_17_33,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_17_10,refute_17_32]) ).
cnf(refute_17_34,plain,
op2(e20,op2(e22,e22)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_17_31,refute_17_33]) ).
cnf(refute_17_35,plain,
( e21 != op2(e20,op2(e22,e22))
| op2(e20,op2(e22,e22)) != h3(e11)
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[0],$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_17_36,plain,
( e21 != op2(e20,op2(e22,e22))
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),h3(e11)) )],[refute_17_34,refute_17_35]) ).
cnf(refute_17_37,plain,
e21 = h3(e11),
inference(resolve,[$cnf( $equal(e21,op2(e20,op2(e22,e22))) )],[refute_17_29,refute_17_36]) ).
cnf(refute_17_38,plain,
( e21 != h3(e11)
| h3(e11) = e21 ),
inference(subst,[],[refute_17_4:[bind(X,$fot(e21)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_17_39,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_17_37,refute_17_38]) ).
cnf(refute_17_40,plain,
( h3(e11) != e21
| h3(e11) != op2(e20,e23)
| e21 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),op2(e20,e23)) ),[0],$fot(e21)]]) ).
cnf(refute_17_41,plain,
( h3(e11) != op2(e20,e23)
| e21 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_17_39,refute_17_40]) ).
cnf(refute_17_42,plain,
e21 = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_17_25,refute_17_41]) ).
cnf(refute_17_43,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_17_13]) ).
cnf(refute_17_44,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_17_15]) ).
cnf(refute_17_45,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_17_46,plain,
( h4(e12) != e23
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h4(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_17_47,plain,
( h4(e12) != e23
| op2(h4(e11),h4(e12)) = op2(h4(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_17_45,refute_17_46]) ).
cnf(refute_17_48,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_17_44,refute_17_47]) ).
cnf(refute_17_49,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(h4(e11),e23)
| h4(op1(e11,e12)) = op2(h4(e11),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h4(e11),e23)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_17_50,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(h4(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),e23)) )],[refute_17_48,refute_17_49]) ).
cnf(refute_17_51,plain,
h4(op1(e11,e12)) = op2(h4(e11),e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_17_43,refute_17_50]) ).
cnf(refute_17_52,plain,
h4(op1(e13,e12)) = op2(h4(e13),h4(e12)),
inference(canonicalize,[],[normalize_17_16]) ).
cnf(refute_17_53,plain,
( e21 != op2(e20,e23)
| op2(e20,e23) = e21 ),
inference(subst,[],[refute_17_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_17_54,plain,
op2(e20,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_17_42,refute_17_53]) ).
cnf(refute_17_55,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_17_56,plain,
( h4(e12) != e23
| op2(e20,h4(e12)) != op2(e20,h4(e12))
| op2(e20,h4(e12)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_17_57,plain,
( h4(e12) != e23
| op2(e20,h4(e12)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_17_55,refute_17_56]) ).
cnf(refute_17_58,plain,
op2(e20,h4(e12)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_17_44,refute_17_57]) ).
cnf(refute_17_59,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_17_17]) ).
cnf(refute_17_60,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_17_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_17_61,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_17_59,refute_17_60]) ).
cnf(refute_17_62,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_17_63,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_17_64,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_17_62,refute_17_63]) ).
cnf(refute_17_65,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_6,refute_17_64]) ).
cnf(refute_17_66,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_17_67,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_17_68,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_17_66,refute_17_67]) ).
cnf(refute_17_69,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_6,refute_17_68]) ).
cnf(refute_17_70,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_17_19:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_17_71,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_17_69,refute_17_70]) ).
cnf(refute_17_72,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_17_65,refute_17_71]) ).
cnf(refute_17_73,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_17_19:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_17_74,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_17_72,refute_17_73]) ).
cnf(refute_17_75,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_17_61,refute_17_74]) ).
cnf(refute_17_76,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_17_77,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_17_75,refute_17_76]) ).
cnf(refute_17_78,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_17_11,refute_17_77]) ).
cnf(refute_17_79,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_17_4:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_17_80,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_17_78,refute_17_79]) ).
cnf(refute_17_81,plain,
op2(h4(e13),h4(e12)) = op2(h4(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e12)))]]) ).
cnf(refute_17_82,plain,
( h4(e13) != e20
| op2(h4(e13),h4(e12)) != op2(h4(e13),h4(e12))
| op2(h4(e13),h4(e12)) = op2(e20,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(h4(e13),h4(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_17_83,plain,
( h4(e13) != e20
| op2(h4(e13),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(h4(e13),h4(e12))) )],[refute_17_81,refute_17_82]) ).
cnf(refute_17_84,plain,
op2(h4(e13),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_17_80,refute_17_83]) ).
cnf(refute_17_85,plain,
( op2(e20,h4(e12)) != op2(e20,e23)
| op2(h4(e13),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e13),h4(e12)) = op2(e20,e23) ),
inference(subst,[],[refute_17_19:[bind(X,$fot(op2(h4(e13),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_17_86,plain,
( op2(e20,h4(e12)) != op2(e20,e23)
| op2(h4(e13),h4(e12)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(e20,h4(e12))) )],[refute_17_84,refute_17_85]) ).
cnf(refute_17_87,plain,
op2(h4(e13),h4(e12)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e23)) )],[refute_17_58,refute_17_86]) ).
cnf(refute_17_88,plain,
( op2(e20,e23) != e21
| op2(h4(e13),h4(e12)) != op2(e20,e23)
| op2(h4(e13),h4(e12)) = e21 ),
inference(subst,[],[refute_17_19:[bind(X,$fot(op2(h4(e13),h4(e12)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_17_89,plain,
( op2(e20,e23) != e21
| op2(h4(e13),h4(e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(e20,e23)) )],[refute_17_87,refute_17_88]) ).
cnf(refute_17_90,plain,
op2(h4(e13),h4(e12)) = e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_17_54,refute_17_89]) ).
cnf(refute_17_91,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| op2(h4(e13),h4(e12)) != e21
| h4(op1(e13,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e12)),e21) ),[0],$fot(op2(h4(e13),h4(e12)))]]) ).
cnf(refute_17_92,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),e21) )],[refute_17_90,refute_17_91]) ).
cnf(refute_17_93,plain,
h4(op1(e13,e12)) = e21,
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),op2(h4(e13),h4(e12))) )],[refute_17_52,refute_17_92]) ).
cnf(refute_17_94,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_17_19]) ).
cnf(refute_17_95,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_17_21]) ).
cnf(refute_17_96,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_17_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_17_97,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_17_95,refute_17_96]) ).
cnf(refute_17_98,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_17_99,plain,
( op1(e12,e12) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_17_97,refute_17_98]) ).
cnf(refute_17_100,plain,
( e13 = e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_17_94,refute_17_99]) ).
cnf(refute_17_101,plain,
e12 != e13,
inference(canonicalize,[],[normalize_17_23]) ).
cnf(refute_17_102,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_17_4:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_17_103,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_17_102,refute_17_101]) ).
cnf(refute_17_104,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_17_100,refute_17_103]) ).
cnf(refute_17_105,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e13,e12) = e13 ),
inference(canonicalize,[],[normalize_17_27]) ).
cnf(refute_17_106,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_17_29]) ).
cnf(refute_17_107,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_17_108,plain,
( e13 != op1(e13,e12)
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_17_97,refute_17_107]) ).
cnf(refute_17_109,plain,
e13 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_17_108,refute_17_106]) ).
cnf(refute_17_110,plain,
( op1(e13,e12) != e13
| e13 = op1(e13,e12) ),
inference(subst,[],[refute_17_4:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).
cnf(refute_17_111,plain,
op1(e13,e12) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_17_110,refute_17_109]) ).
cnf(refute_17_112,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_17_105,refute_17_111]) ).
cnf(refute_17_113,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(canonicalize,[],[normalize_17_30]) ).
cnf(refute_17_114,plain,
( op1(e12,e12) != e10
| op1(e12,e12) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).
cnf(refute_17_115,plain,
( op1(e12,e12) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_17_97,refute_17_114]) ).
cnf(refute_17_116,plain,
( e13 = e10
| op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_17_113,refute_17_115]) ).
cnf(refute_17_117,plain,
e10 != e13,
inference(canonicalize,[],[normalize_17_31]) ).
cnf(refute_17_118,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_17_4:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_17_119,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_17_118,refute_17_117]) ).
cnf(refute_17_120,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_17_116,refute_17_119]) ).
cnf(refute_17_121,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_17_32]) ).
cnf(refute_17_122,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_17_33]) ).
cnf(refute_17_123,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_17_124,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_17_125,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_17_123,refute_17_124]) ).
cnf(refute_17_126,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_17_97,refute_17_125]) ).
cnf(refute_17_127,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_17_128,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_17_129,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_17_127,refute_17_128]) ).
cnf(refute_17_130,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_17_97,refute_17_129]) ).
cnf(refute_17_131,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_17_19:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_17_132,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_17_130,refute_17_131]) ).
cnf(refute_17_133,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_17_126,refute_17_132]) ).
cnf(refute_17_134,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_17_135,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_17_133,refute_17_134]) ).
cnf(refute_17_136,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_17_122,refute_17_135]) ).
cnf(refute_17_137,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_17_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_17_138,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_17_136,refute_17_137]) ).
cnf(refute_17_139,plain,
( op1(e13,e12) != e10
| op1(e13,e13) != e10
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_17_140,plain,
( op1(e13,e12) != e10
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_17_138,refute_17_139]) ).
cnf(refute_17_141,plain,
op1(e13,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_17_140,refute_17_121]) ).
cnf(refute_17_142,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_17_120,refute_17_141]) ).
cnf(refute_17_143,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0],$fot(e10)]]) ).
cnf(refute_17_144,plain,
( op1(e11,e12) != e11
| e10 = e11
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_17_142,refute_17_143]) ).
cnf(refute_17_145,plain,
( e10 = e11
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_17_112,refute_17_144]) ).
cnf(refute_17_146,plain,
e10 != e11,
inference(canonicalize,[],[normalize_17_34]) ).
cnf(refute_17_147,plain,
op1(e10,e12) = e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_17_145,refute_17_146]) ).
cnf(refute_17_148,plain,
( op1(e10,e12) != e10
| op1(e10,e12) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0],$fot(e10)]]) ).
cnf(refute_17_149,plain,
( op1(e10,e12) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_17_147,refute_17_148]) ).
cnf(refute_17_150,plain,
( e10 = e12
| op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_17_104,refute_17_149]) ).
cnf(refute_17_151,plain,
e10 != e12,
inference(canonicalize,[],[normalize_17_35]) ).
cnf(refute_17_152,plain,
( op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_17_150,refute_17_151]) ).
cnf(refute_17_153,plain,
( h4(op1(e13,e12)) != e21
| op1(e13,e12) != e12
| h4(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e12)),e21) ),[0,0],$fot(e12)]]) ).
cnf(refute_17_154,plain,
( h4(op1(e13,e12)) != e21
| h4(e12) = e21
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_17_152,refute_17_153]) ).
cnf(refute_17_155,plain,
( h4(e12) = e21
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),e21) )],[refute_17_93,refute_17_154]) ).
cnf(refute_17_156,plain,
( h4(e12) != e21
| h4(e12) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e21) ),[0],$fot(e23)]]) ).
cnf(refute_17_157,plain,
( h4(e12) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_17_44,refute_17_156]) ).
cnf(refute_17_158,plain,
( e23 = e21
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_17_155,refute_17_157]) ).
cnf(refute_17_159,plain,
h4(e12) != e21,
inference(canonicalize,[],[normalize_17_36]) ).
cnf(refute_17_160,plain,
( e23 != e21
| h4(e12) != e23
| h4(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e23) ),[1],$fot(e21)]]) ).
cnf(refute_17_161,plain,
( e23 != e21
| h4(e12) = e21 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_17_44,refute_17_160]) ).
cnf(refute_17_162,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_17_161,refute_17_159]) ).
cnf(refute_17_163,plain,
op1(e11,e12) = e12,
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_17_158,refute_17_162]) ).
cnf(refute_17_164,plain,
h4(op1(e11,e12)) = h4(op1(e11,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_17_165,plain,
( h4(op1(e11,e12)) != h4(op1(e11,e12))
| op1(e11,e12) != e12
| h4(op1(e11,e12)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) ),[1,0],$fot(e12)]]) ).
cnf(refute_17_166,plain,
( op1(e11,e12) != e12
| h4(op1(e11,e12)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) )],[refute_17_164,refute_17_165]) ).
cnf(refute_17_167,plain,
h4(op1(e11,e12)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_17_163,refute_17_166]) ).
cnf(refute_17_168,plain,
( h4(e12) != e23
| h4(op1(e11,e12)) != h4(e12)
| h4(op1(e11,e12)) = e23 ),
inference(subst,[],[refute_17_19:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).
cnf(refute_17_169,plain,
( h4(e12) != e23
| h4(op1(e11,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e12)) )],[refute_17_167,refute_17_168]) ).
cnf(refute_17_170,plain,
h4(op1(e11,e12)) = e23,
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_17_44,refute_17_169]) ).
cnf(refute_17_171,plain,
( h4(op1(e11,e12)) != e23
| h4(op1(e11,e12)) != op2(h4(e11),e23)
| e23 = op2(h4(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),e23)) ),[0],$fot(e23)]]) ).
cnf(refute_17_172,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| e23 = op2(h4(e11),e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e23) )],[refute_17_170,refute_17_171]) ).
cnf(refute_17_173,plain,
e23 = op2(h4(e11),e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),e23)) )],[refute_17_51,refute_17_172]) ).
cnf(refute_17_174,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(canonicalize,[],[normalize_17_38]) ).
cnf(refute_17_175,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_17_40]) ).
cnf(refute_17_176,plain,
( op2(e22,e20) != e23
| op2(e22,e22) != e23
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_17_177,plain,
( op2(e22,e20) != e23
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_6,refute_17_176]) ).
cnf(refute_17_178,plain,
op2(e22,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_17_177,refute_17_175]) ).
cnf(refute_17_179,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_17_174,refute_17_178]) ).
cnf(refute_17_180,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(canonicalize,[],[normalize_17_41]) ).
cnf(refute_17_181,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_17_42]) ).
cnf(refute_17_182,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = h4(e10) ),
inference(subst,[],[refute_17_4:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_17_183,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_17_181,refute_17_182]) ).
cnf(refute_17_184,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)))]]) ).
cnf(refute_17_185,plain,
( op2(op2(e23,e23),op2(e23,e23)) != h4(e10)
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) ),[1,0],$fot(h4(e10))]]) ).
cnf(refute_17_186,plain,
( op2(op2(e23,e23),op2(e23,e23)) != h4(e10)
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) )],[refute_17_184,refute_17_185]) ).
cnf(refute_17_187,plain,
op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h4(e10)) )],[refute_17_183,refute_17_186]) ).
cnf(refute_17_188,plain,
( h4(e11) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) != op2(h4(e10),op2(e23,e23))
| h4(e11) = op2(h4(e10),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h4(e10),op2(e23,e23))) ),[0],$fot(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)))]]) ).
cnf(refute_17_189,plain,
( h4(e11) != op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
| h4(e11) = op2(h4(e10),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) )],[refute_17_187,refute_17_188]) ).
cnf(refute_17_190,plain,
h4(e11) = op2(h4(e10),op2(e23,e23)),
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))) )],[refute_17_180,refute_17_189]) ).
cnf(refute_17_191,plain,
( h4(e13) != e20
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_17_19:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_17_192,plain,
( h4(e13) != e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_17_61,refute_17_191]) ).
cnf(refute_17_193,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_17_80,refute_17_192]) ).
cnf(refute_17_194,plain,
op2(h1(e13),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(h1(e13),op2(e23,e23)))]]) ).
cnf(refute_17_195,plain,
( op2(e23,e23) != e20
| op2(h1(e13),op2(e23,e23)) != op2(h1(e13),op2(e23,e23))
| op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_17_196,plain,
( op2(e23,e23) != e20
| op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) )],[refute_17_194,refute_17_195]) ).
cnf(refute_17_197,plain,
op2(h1(e13),op2(e23,e23)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_17_193,refute_17_196]) ).
cnf(refute_17_198,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_17_43]) ).
cnf(refute_17_199,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_17_4:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_17_200,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_17_198,refute_17_199]) ).
cnf(refute_17_201,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_17_202,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_17_203,plain,
( op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_17_201,refute_17_202]) ).
cnf(refute_17_204,plain,
op2(e20,op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_17_193,refute_17_203]) ).
cnf(refute_17_205,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_17_206,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,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(e20)]]) ).
cnf(refute_17_207,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_17_205,refute_17_206]) ).
cnf(refute_17_208,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_17_193,refute_17_207]) ).
cnf(refute_17_209,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(subst,[],[refute_17_19:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_17_210,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_17_208,refute_17_209]) ).
cnf(refute_17_211,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_17_204,refute_17_210]) ).
cnf(refute_17_212,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(subst,[],[refute_17_19:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_17_213,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_17_211,refute_17_212]) ).
cnf(refute_17_214,plain,
op2(op2(e23,e23),op2(e23,e23)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_17_200,refute_17_213]) ).
cnf(refute_17_215,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_17_216,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h1(e13)) )],[refute_17_214,refute_17_215]) ).
cnf(refute_17_217,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_17_181,refute_17_216]) ).
cnf(refute_17_218,plain,
op2(h4(e10),op2(e23,e23)) = op2(h4(e10),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(h4(e10),op2(e23,e23)))]]) ).
cnf(refute_17_219,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),op2(e23,e23)) != op2(h4(e10),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_17_220,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h4(e10),op2(e23,e23))) )],[refute_17_218,refute_17_219]) ).
cnf(refute_17_221,plain,
op2(h4(e10),op2(e23,e23)) = op2(h1(e13),op2(e23,e23)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_17_217,refute_17_220]) ).
cnf(refute_17_222,plain,
( op2(h1(e13),op2(e23,e23)) != op2(h1(e13),e20)
| op2(h4(e10),op2(e23,e23)) != op2(h1(e13),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(subst,[],[refute_17_19:[bind(X,$fot(op2(h4(e10),op2(e23,e23)))),bind(Y,$fot(op2(h1(e13),op2(e23,e23)))),bind(Z,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_17_223,plain,
( op2(h1(e13),op2(e23,e23)) != op2(h1(e13),e20)
| op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h1(e13),op2(e23,e23))) )],[refute_17_221,refute_17_222]) ).
cnf(refute_17_224,plain,
op2(h4(e10),op2(e23,e23)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(h1(e13),op2(e23,e23)),op2(h1(e13),e20)) )],[refute_17_197,refute_17_223]) ).
cnf(refute_17_225,plain,
( h4(e11) != op2(h4(e10),op2(e23,e23))
| op2(h4(e10),op2(e23,e23)) != op2(h1(e13),e20)
| h4(e11) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(h1(e13),e20)) ),[0],$fot(op2(h4(e10),op2(e23,e23)))]]) ).
cnf(refute_17_226,plain,
( h4(e11) != op2(h4(e10),op2(e23,e23))
| h4(e11) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),op2(e23,e23)),op2(h1(e13),e20)) )],[refute_17_224,refute_17_225]) ).
cnf(refute_17_227,plain,
h4(e11) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h4(e11),op2(h4(e10),op2(e23,e23))) )],[refute_17_190,refute_17_226]) ).
cnf(refute_17_228,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_17_44]) ).
cnf(refute_17_229,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e12)))]]) ).
cnf(refute_17_230,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_17_231,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_17_229,refute_17_230]) ).
cnf(refute_17_232,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_17_44,refute_17_231]) ).
cnf(refute_17_233,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_17_234,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_17_235,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_17_233,refute_17_234]) ).
cnf(refute_17_236,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_17_217,refute_17_235]) ).
cnf(refute_17_237,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(subst,[],[refute_17_19:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),h4(e12)))),bind(Z,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_17_238,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_17_236,refute_17_237]) ).
cnf(refute_17_239,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),e23)) )],[refute_17_232,refute_17_238]) ).
cnf(refute_17_240,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(h1(e13),e23)
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_17_241,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),e23)) )],[refute_17_239,refute_17_240]) ).
cnf(refute_17_242,plain,
h4(op1(e10,e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_17_228,refute_17_241]) ).
cnf(refute_17_243,plain,
h4(op1(e10,e12)) = h4(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_17_244,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| op1(e10,e12) != e10
| h4(op1(e10,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_17_245,plain,
( op1(e10,e12) != e10
| h4(op1(e10,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_17_243,refute_17_244]) ).
cnf(refute_17_246,plain,
h4(op1(e10,e12)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_17_147,refute_17_245]) ).
cnf(refute_17_247,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) != h4(e10)
| h4(op1(e10,e12)) = h1(e13) ),
inference(subst,[],[refute_17_19:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_17_248,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e12)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e10)) )],[refute_17_246,refute_17_247]) ).
cnf(refute_17_249,plain,
h4(op1(e10,e12)) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_17_217,refute_17_248]) ).
cnf(refute_17_250,plain,
( h4(op1(e10,e12)) != h1(e13)
| h4(op1(e10,e12)) != op2(h1(e13),e23)
| h1(e13) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) ),[0],$fot(h1(e13))]]) ).
cnf(refute_17_251,plain,
( h4(op1(e10,e12)) != op2(h1(e13),e23)
| h1(e13) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h1(e13)) )],[refute_17_249,refute_17_250]) ).
cnf(refute_17_252,plain,
h1(e13) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h1(e13),e23)) )],[refute_17_242,refute_17_251]) ).
cnf(refute_17_253,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_17_45]) ).
cnf(refute_17_254,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_17_255,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_17_200,refute_17_254]) ).
cnf(refute_17_256,plain,
( h1(e13) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_17_253,refute_17_255]) ).
cnf(refute_17_257,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_17_258,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_17_200,refute_17_257]) ).
cnf(refute_17_259,plain,
( h1(e13) = e20
| h1(e13) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_17_256,refute_17_258]) ).
cnf(refute_17_260,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_17_261,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_17_200,refute_17_260]) ).
cnf(refute_17_262,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_17_259,refute_17_261]) ).
cnf(refute_17_263,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_17_264,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_17_200,refute_17_263]) ).
cnf(refute_17_265,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_17_262,refute_17_264]) ).
cnf(refute_17_266,plain,
h4(e10) != e21,
inference(canonicalize,[],[normalize_17_46]) ).
cnf(refute_17_267,plain,
( h1(e13) != e21
| h4(e10) != h1(e13)
| h4(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h1(e13)) ),[1],$fot(e21)]]) ).
cnf(refute_17_268,plain,
( h1(e13) != e21
| h4(e10) = e21 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_17_217,refute_17_267]) ).
cnf(refute_17_269,plain,
h1(e13) != e21,
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_17_268,refute_17_266]) ).
cnf(refute_17_270,plain,
( h1(e13) = e20
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_17_265,refute_17_269]) ).
cnf(refute_17_271,plain,
( h1(e13) != e23
| h1(e13) != op2(h1(e13),e23)
| h1(e13) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_17_272,plain,
( h1(e13) != op2(h1(e13),e23)
| h1(e13) = e20
| h1(e13) = e22
| h1(e13) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_17_270,refute_17_271]) ).
cnf(refute_17_273,plain,
( h1(e13) = e20
| h1(e13) = e22
| h1(e13) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) )],[refute_17_252,refute_17_272]) ).
cnf(refute_17_274,plain,
( h1(e13) != op2(e23,e23)
| op2(e23,e23) != e20
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),e20) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_17_275,plain,
( h1(e13) != op2(e23,e23)
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_17_193,refute_17_274]) ).
cnf(refute_17_276,plain,
( h1(e13) = e20
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e23)) )],[refute_17_273,refute_17_275]) ).
cnf(refute_17_277,plain,
( h1(e13) != e22
| h4(e11) != op2(h1(e13),e20)
| h4(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(h1(e13),e20)) ),[1,0],$fot(e22)]]) ).
cnf(refute_17_278,plain,
( h4(e11) != op2(h1(e13),e20)
| h1(e13) = e20
| h4(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_17_276,refute_17_277]) ).
cnf(refute_17_279,plain,
( h1(e13) = e20
| h4(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h4(e11),op2(h1(e13),e20)) )],[refute_17_227,refute_17_278]) ).
cnf(refute_17_280,plain,
( h1(e13) != e20
| h1(e13) != op2(h1(e13),e23)
| h1(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_17_281,plain,
( h1(e13) != op2(h1(e13),e23)
| h1(e13) = e22
| h1(e13) = e23
| h1(e13) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_17_270,refute_17_280]) ).
cnf(refute_17_282,plain,
( h1(e13) = e22
| h1(e13) = e23
| h1(e13) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h1(e13),e23)) )],[refute_17_252,refute_17_281]) ).
cnf(refute_17_283,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e23) != e21
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),e21) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_17_284,plain,
( h1(e13) != op2(e20,e23)
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_17_54,refute_17_283]) ).
cnf(refute_17_285,plain,
( h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_17_282,refute_17_284]) ).
cnf(refute_17_286,plain,
( h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_17_285,refute_17_269]) ).
cnf(refute_17_287,plain,
( h1(e13) != e20
| h1(e13) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[0],$fot(e20)]]) ).
cnf(refute_17_288,plain,
( h1(e13) != e23
| e20 = e23
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_17_276,refute_17_287]) ).
cnf(refute_17_289,plain,
( e20 = e23
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_17_286,refute_17_288]) ).
cnf(refute_17_290,plain,
e20 != e23,
inference(canonicalize,[],[normalize_17_48]) ).
cnf(refute_17_291,plain,
h1(e13) = e22,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_17_289,refute_17_290]) ).
cnf(refute_17_292,plain,
( h1(e13) != e20
| h1(e13) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(e22)]]) ).
cnf(refute_17_293,plain,
( h1(e13) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_17_291,refute_17_292]) ).
cnf(refute_17_294,plain,
( e22 = e20
| h4(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_17_279,refute_17_293]) ).
cnf(refute_17_295,plain,
e20 != e22,
inference(canonicalize,[],[normalize_17_49]) ).
cnf(refute_17_296,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_17_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_17_297,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_17_296,refute_17_295]) ).
cnf(refute_17_298,plain,
h4(e11) = op2(e22,e20),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_17_294,refute_17_297]) ).
cnf(refute_17_299,plain,
( h4(e11) != op2(e22,e20)
| op2(e22,e20) = h4(e11) ),
inference(subst,[],[refute_17_4:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_17_300,plain,
op2(e22,e20) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e22,e20)) )],[refute_17_298,refute_17_299]) ).
cnf(refute_17_301,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != h4(e11)
| h4(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(h4(e11))]]) ).
cnf(refute_17_302,plain,
( op2(e22,e20) != e20
| h4(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h4(e11)) )],[refute_17_300,refute_17_301]) ).
cnf(refute_17_303,plain,
( h4(e11) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_17_179,refute_17_302]) ).
cnf(refute_17_304,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != h4(e11)
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[0],$fot(h4(e11))]]) ).
cnf(refute_17_305,plain,
( op2(e22,e20) != e21
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h4(e11)) )],[refute_17_300,refute_17_304]) ).
cnf(refute_17_306,plain,
( h4(e11) = e20
| h4(e11) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_17_303,refute_17_305]) ).
cnf(refute_17_307,plain,
( op2(e22,e20) != e22
| op2(e22,e20) != h4(e11)
| h4(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(h4(e11))]]) ).
cnf(refute_17_308,plain,
( op2(e22,e20) != e22
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h4(e11)) )],[refute_17_300,refute_17_307]) ).
cnf(refute_17_309,plain,
( h4(e11) = e20
| h4(e11) = e21
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_17_306,refute_17_308]) ).
cnf(refute_17_310,plain,
h4(e11) != e21,
inference(canonicalize,[],[normalize_17_50]) ).
cnf(refute_17_311,plain,
( h4(e11) = e20
| h4(e11) = e22 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_17_309,refute_17_310]) ).
cnf(refute_17_312,plain,
op2(e20,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_17_51]) ).
cnf(refute_17_313,plain,
( h1(e13) != op2(e22,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_17_314,plain,
( h1(e13) != op2(e22,e20)
| op2(e20,e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_17_200,refute_17_313]) ).
cnf(refute_17_315,plain,
h1(e13) != op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e22,e20)) )],[refute_17_314,refute_17_312]) ).
cnf(refute_17_316,plain,
( e22 != op2(e22,e20)
| h1(e13) != e22
| h1(e13) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_17_317,plain,
( e22 != op2(e22,e20)
| h1(e13) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_17_291,refute_17_316]) ).
cnf(refute_17_318,plain,
( e22 != h4(e11)
| op2(e22,e20) != h4(e11)
| e22 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e20)) ),[1],$fot(h4(e11))]]) ).
cnf(refute_17_319,plain,
( e22 != h4(e11)
| e22 = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h4(e11)) )],[refute_17_300,refute_17_318]) ).
cnf(refute_17_320,plain,
( e22 != h4(e11)
| h1(e13) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e20)) )],[refute_17_319,refute_17_317]) ).
cnf(refute_17_321,plain,
e22 != h4(e11),
inference(resolve,[$cnf( $equal(h1(e13),op2(e22,e20)) )],[refute_17_320,refute_17_315]) ).
cnf(refute_17_322,plain,
( h4(e11) != e22
| e22 = h4(e11) ),
inference(subst,[],[refute_17_4:[bind(X,$fot(h4(e11))),bind(Y,$fot(e22))]]) ).
cnf(refute_17_323,plain,
h4(e11) != e22,
inference(resolve,[$cnf( $equal(e22,h4(e11)) )],[refute_17_322,refute_17_321]) ).
cnf(refute_17_324,plain,
h4(e11) = e20,
inference(resolve,[$cnf( $equal(h4(e11),e22) )],[refute_17_311,refute_17_323]) ).
cnf(refute_17_325,plain,
op2(h4(e11),e23) = op2(h4(e11),e23),
introduced(tautology,[refl,[$fot(op2(h4(e11),e23))]]) ).
cnf(refute_17_326,plain,
( h4(e11) != e20
| op2(h4(e11),e23) != op2(h4(e11),e23)
| op2(h4(e11),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),e23),op2(h4(e11),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_17_327,plain,
( h4(e11) != e20
| op2(h4(e11),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e23),op2(h4(e11),e23)) )],[refute_17_325,refute_17_326]) ).
cnf(refute_17_328,plain,
op2(h4(e11),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_17_324,refute_17_327]) ).
cnf(refute_17_329,plain,
( op2(e20,e23) != e21
| op2(h4(e11),e23) != op2(e20,e23)
| op2(h4(e11),e23) = e21 ),
inference(subst,[],[refute_17_19:[bind(X,$fot(op2(h4(e11),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_17_330,plain,
( op2(e20,e23) != e21
| op2(h4(e11),e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e23),op2(e20,e23)) )],[refute_17_328,refute_17_329]) ).
cnf(refute_17_331,plain,
op2(h4(e11),e23) = e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_17_54,refute_17_330]) ).
cnf(refute_17_332,plain,
( e23 != op2(h4(e11),e23)
| op2(h4(e11),e23) != e21
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(op2(h4(e11),e23))]]) ).
cnf(refute_17_333,plain,
( e23 != op2(h4(e11),e23)
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e23),e21) )],[refute_17_331,refute_17_332]) ).
cnf(refute_17_334,plain,
e23 = e21,
inference(resolve,[$cnf( $equal(e23,op2(h4(e11),e23)) )],[refute_17_173,refute_17_333]) ).
cnf(refute_17_335,plain,
op2(e20,e23) = op2(e20,e23),
introduced(tautology,[refl,[$fot(op2(e20,e23))]]) ).
cnf(refute_17_336,plain,
( e23 != e21
| op2(e20,e23) != op2(e20,e23)
| op2(e20,e23) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),op2(e20,e23)) ),[1,1],$fot(e21)]]) ).
cnf(refute_17_337,plain,
( e23 != e21
| op2(e20,e23) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e20,e23)) )],[refute_17_335,refute_17_336]) ).
cnf(refute_17_338,plain,
op2(e20,e23) = op2(e20,e21),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_17_334,refute_17_337]) ).
cnf(refute_17_339,plain,
( e21 != op2(e20,e23)
| op2(e20,e23) != op2(e20,e21)
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e21)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_17_340,plain,
( e21 != op2(e20,e23)
| e21 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e20,e21)) )],[refute_17_338,refute_17_339]) ).
cnf(refute_17_341,plain,
e21 = op2(e20,e21),
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_17_42,refute_17_340]) ).
cnf(refute_17_342,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_17_52]) ).
cnf(refute_17_343,plain,
( op2(e20,e21) != h3(e11)
| op2(e20,e23) != h3(e11)
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_17_344,plain,
( op2(e20,e21) != h3(e11)
| op2(e20,e21) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_17_31,refute_17_343]) ).
cnf(refute_17_345,plain,
op2(e20,e21) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_17_344,refute_17_342]) ).
cnf(refute_17_346,plain,
( h3(e11) != e21
| op2(e20,e21) != e21
| op2(e20,e21) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_17_347,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_17_39,refute_17_346]) ).
cnf(refute_17_348,plain,
op2(e20,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e21),h3(e11)) )],[refute_17_347,refute_17_345]) ).
cnf(refute_17_349,plain,
( e21 != op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(subst,[],[refute_17_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_17_350,plain,
e21 != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_17_349,refute_17_348]) ).
cnf(refute_17_351,plain,
$false,
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_17_341,refute_17_350]) ).
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,
( ( 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_18_1,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_2,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_18_3,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_18_2]) ).
fof(normalize_18_4,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_18_5,plain,
op2(e20,e20) != op2(e21,e20),
inference(conjunct,[],[normalize_18_4]) ).
fof(normalize_18_6,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_7,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_18_2]) ).
fof(normalize_18_8,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_18_9,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_18_8]) ).
fof(normalize_18_10,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_18_11,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_18_10]) ).
fof(normalize_18_12,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_6,normalize_18_7,normalize_18_9,normalize_18_11]) ).
fof(normalize_18_13,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(conjunct,[],[normalize_18_12]) ).
fof(normalize_18_14,plain,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_18_15,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_18_14]) ).
fof(normalize_18_16,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_18_17,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_18_16]) ).
fof(normalize_18_18,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_18_14]) ).
fof(normalize_18_19,plain,
( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 ),
inference(conjunct,[],[normalize_18_12]) ).
fof(normalize_18_20,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_18_16]) ).
fof(normalize_18_21,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_18_16]) ).
fof(normalize_18_22,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_18_23,plain,
e20 != e21,
inference(conjunct,[],[normalize_18_22]) ).
fof(normalize_18_24,plain,
e21 != e23,
inference(conjunct,[],[normalize_18_22]) ).
fof(normalize_18_25,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_18_4]) ).
fof(normalize_18_26,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_18_10]) ).
fof(normalize_18_27,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(conjunct,[],[normalize_18_14]) ).
fof(normalize_18_28,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_18_29,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_18_28]) ).
fof(normalize_18_30,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_18_31,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_18_30]) ).
fof(normalize_18_32,plain,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_18_33,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_18_32]) ).
fof(normalize_18_34,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(conjunct,[],[normalize_18_32]) ).
fof(normalize_18_35,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(conjunct,[],[normalize_18_32]) ).
fof(normalize_18_36,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_18_37,plain,
e10 != e13,
inference(conjunct,[],[normalize_18_36]) ).
fof(normalize_18_38,plain,
e11 != e13,
inference(conjunct,[],[normalize_18_36]) ).
fof(normalize_18_39,plain,
h4(e10) != e22,
inference(conjunct,[],[normalize_18_12]) ).
fof(normalize_18_40,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_18_4]) ).
fof(normalize_18_41,plain,
h4(op1(e12,e13)) = op2(h4(e12),h4(e13)),
inference(conjunct,[],[normalize_18_12]) ).
fof(normalize_18_42,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_18_43,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_18_42]) ).
fof(normalize_18_44,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_18_30]) ).
fof(normalize_18_45,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_18_30]) ).
cnf(refute_18_0,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_18_1]) ).
cnf(refute_18_1,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_18_3]) ).
cnf(refute_18_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_18_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_18_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_18_2,refute_18_3]) ).
cnf(refute_18_5,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_18_6,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_18_1,refute_18_5]) ).
cnf(refute_18_7,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_18_8,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_6,refute_18_7]) ).
cnf(refute_18_9,plain,
( h1(e13) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_18_0,refute_18_8]) ).
cnf(refute_18_10,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_18_11,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_6,refute_18_10]) ).
cnf(refute_18_12,plain,
( h1(e13) = e20
| h1(e13) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_18_9,refute_18_11]) ).
cnf(refute_18_13,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_18_14,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_6,refute_18_13]) ).
cnf(refute_18_15,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_18_12,refute_18_14]) ).
cnf(refute_18_16,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_18_17,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_6,refute_18_16]) ).
cnf(refute_18_18,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_18_15,refute_18_17]) ).
cnf(refute_18_19,plain,
op2(e20,e20) != op2(e21,e20),
inference(canonicalize,[],[normalize_18_5]) ).
cnf(refute_18_20,plain,
( h1(e13) != op2(e21,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_18_21,plain,
( h1(e13) != op2(e21,e20)
| op2(e20,e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_6,refute_18_20]) ).
cnf(refute_18_22,plain,
h1(e13) != op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_18_21,refute_18_19]) ).
cnf(refute_18_23,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(canonicalize,[],[normalize_18_13]) ).
cnf(refute_18_24,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_18_15]) ).
cnf(refute_18_25,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_18_17]) ).
cnf(refute_18_26,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_18_27,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_18_25,refute_18_26]) ).
cnf(refute_18_28,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_18_18]) ).
cnf(refute_18_29,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_18_30,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_18_28,refute_18_29]) ).
cnf(refute_18_31,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_18_32,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_18_33,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_18_31,refute_18_32]) ).
cnf(refute_18_34,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_30,refute_18_33]) ).
cnf(refute_18_35,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_18_36,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,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(e23)]]) ).
cnf(refute_18_37,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_18_35,refute_18_36]) ).
cnf(refute_18_38,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_30,refute_18_37]) ).
cnf(refute_18_39,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_18_40,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_18_4,refute_18_39]) ).
cnf(refute_18_41,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(subst,[],[refute_18_40:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_18_42,plain,
( op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_18_38,refute_18_41]) ).
cnf(refute_18_43,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_18_34,refute_18_42]) ).
cnf(refute_18_44,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_18_40:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_18_45,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_18_43,refute_18_44]) ).
cnf(refute_18_46,plain,
op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_27,refute_18_45]) ).
cnf(refute_18_47,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_18_48,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_18_46,refute_18_47]) ).
cnf(refute_18_49,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_18_24,refute_18_48]) ).
cnf(refute_18_50,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_18_51,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_18_49,refute_18_50]) ).
cnf(refute_18_52,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_18_53,plain,
( h4(e13) != e20
| op2(h4(e11),h4(e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) = op2(h4(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_18_54,plain,
( h4(e13) != e20
| op2(h4(e11),h4(e13)) = op2(h4(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) )],[refute_18_52,refute_18_53]) ).
cnf(refute_18_55,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_18_51,refute_18_54]) ).
cnf(refute_18_56,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) != op2(h4(e11),e20)
| h4(op1(e11,e13)) = op2(h4(e11),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(h4(e11),e20)) ),[0],$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_18_57,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e13)) = op2(h4(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),e20)) )],[refute_18_55,refute_18_56]) ).
cnf(refute_18_58,plain,
h4(op1(e11,e13)) = op2(h4(e11),e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_18_23,refute_18_57]) ).
cnf(refute_18_59,plain,
( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 ),
inference(canonicalize,[],[normalize_18_19]) ).
cnf(refute_18_60,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_18_20]) ).
cnf(refute_18_61,plain,
( h4(e13) != e20
| op2(e23,e23) != h4(e13)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_18_40:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_18_62,plain,
( h4(e13) != e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_27,refute_18_61]) ).
cnf(refute_18_63,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_18_51,refute_18_62]) ).
cnf(refute_18_64,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_18_65,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_18_66,plain,
( op2(e23,e23) != e20
| op2(e20,op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_18_64,refute_18_65]) ).
cnf(refute_18_67,plain,
op2(e20,op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_18_63,refute_18_66]) ).
cnf(refute_18_68,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_18_69,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,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(e20)]]) ).
cnf(refute_18_70,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_18_68,refute_18_69]) ).
cnf(refute_18_71,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_18_63,refute_18_70]) ).
cnf(refute_18_72,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(subst,[],[refute_18_40:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,op2(e23,e23)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_18_73,plain,
( op2(e20,op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_18_71,refute_18_72]) ).
cnf(refute_18_74,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,e20)) )],[refute_18_67,refute_18_73]) ).
cnf(refute_18_75,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e20,e20)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(subst,[],[refute_18_40:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_18_76,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e23,e23),op2(e23,e23)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e20,e20)) )],[refute_18_74,refute_18_75]) ).
cnf(refute_18_77,plain,
op2(op2(e23,e23),op2(e23,e23)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_6,refute_18_76]) ).
cnf(refute_18_78,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_18_79,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h1(e13)) )],[refute_18_77,refute_18_78]) ).
cnf(refute_18_80,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_18_60,refute_18_79]) ).
cnf(refute_18_81,plain,
( h4(e10) != e21
| h4(e10) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_18_82,plain,
( h4(e10) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_18_80,refute_18_81]) ).
cnf(refute_18_83,plain,
( h1(e13) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_18_59,refute_18_82]) ).
cnf(refute_18_84,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_18_21]) ).
cnf(refute_18_85,plain,
( h4(e12) != e21
| h4(e12) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e21) ),[0],$fot(e23)]]) ).
cnf(refute_18_86,plain,
( h4(e12) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_18_84,refute_18_85]) ).
cnf(refute_18_87,plain,
( e23 = e21
| h1(e13) = e21
| h4(e11) = e21
| h4(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_18_83,refute_18_86]) ).
cnf(refute_18_88,plain,
( h4(e13) != e20
| h4(e13) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e21) ),[0],$fot(e20)]]) ).
cnf(refute_18_89,plain,
( h4(e13) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_18_51,refute_18_88]) ).
cnf(refute_18_90,plain,
( e20 = e21
| e23 = e21
| h1(e13) = e21
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_87,refute_18_89]) ).
cnf(refute_18_91,plain,
e20 != e21,
inference(canonicalize,[],[normalize_18_23]) ).
cnf(refute_18_92,plain,
( e23 = e21
| h1(e13) = e21
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_18_90,refute_18_91]) ).
cnf(refute_18_93,plain,
e21 != e23,
inference(canonicalize,[],[normalize_18_24]) ).
cnf(refute_18_94,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_18_95,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_18_94,refute_18_93]) ).
cnf(refute_18_96,plain,
( h1(e13) = e21
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_18_92,refute_18_95]) ).
cnf(refute_18_97,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_18_25]) ).
cnf(refute_18_98,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_18_99,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_6,refute_18_98]) ).
cnf(refute_18_100,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_18_26]) ).
cnf(refute_18_101,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_18_102,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_18_103,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_18_101,refute_18_102]) ).
cnf(refute_18_104,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_30,refute_18_103]) ).
cnf(refute_18_105,plain,
( e20 != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = e20 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_18_106,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),op2(e22,e22))) )],[refute_18_24,refute_18_105]) ).
cnf(refute_18_107,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_18_108,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) ),[1,0],$fot(e20)]]) ).
cnf(refute_18_109,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e20
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_18_107,refute_18_108]) ).
cnf(refute_18_110,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e20) )],[refute_18_106,refute_18_109]) ).
cnf(refute_18_111,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(subst,[],[refute_18_40:[bind(X,$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))),bind(Y,$fot(op2(e20,op2(e22,e22)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_18_112,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_18_110,refute_18_111]) ).
cnf(refute_18_113,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_18_104,refute_18_112]) ).
cnf(refute_18_114,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,e23)
| h3(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e20,e23)) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_18_115,plain,
( h3(e11) != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| h3(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,e23)) )],[refute_18_113,refute_18_114]) ).
cnf(refute_18_116,plain,
h3(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_18_100,refute_18_115]) ).
cnf(refute_18_117,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_18_118,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_18_116,refute_18_117]) ).
cnf(refute_18_119,plain,
( h1(e13) != h3(e11)
| op2(e20,e23) != h3(e11)
| h1(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_18_120,plain,
( h1(e13) != h3(e11)
| h1(e13) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_18_118,refute_18_119]) ).
cnf(refute_18_121,plain,
( h1(e13) != h3(e11)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_18_120,refute_18_99]) ).
cnf(refute_18_122,plain,
h1(e13) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_18_121,refute_18_97]) ).
cnf(refute_18_123,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(canonicalize,[],[normalize_18_27]) ).
cnf(refute_18_124,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) != op2(e20,op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,op2(e22,e22))) ),[0],$fot(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)))]]) ).
cnf(refute_18_125,plain,
( e21 != op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
| e21 = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_18_110,refute_18_124]) ).
cnf(refute_18_126,plain,
e21 = op2(e20,op2(e22,e22)),
inference(resolve,[$cnf( $equal(e21,op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))) )],[refute_18_123,refute_18_125]) ).
cnf(refute_18_127,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(subst,[],[refute_18_40:[bind(X,$fot(op2(e20,op2(e22,e22)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_18_128,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e22,e22)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_18_104,refute_18_127]) ).
cnf(refute_18_129,plain,
op2(e20,op2(e22,e22)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_18_118,refute_18_128]) ).
cnf(refute_18_130,plain,
( e21 != op2(e20,op2(e22,e22))
| op2(e20,op2(e22,e22)) != h3(e11)
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[0],$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_18_131,plain,
( e21 != op2(e20,op2(e22,e22))
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),h3(e11)) )],[refute_18_129,refute_18_130]) ).
cnf(refute_18_132,plain,
e21 = h3(e11),
inference(resolve,[$cnf( $equal(e21,op2(e20,op2(e22,e22))) )],[refute_18_126,refute_18_131]) ).
cnf(refute_18_133,plain,
( e21 != h3(e11)
| h3(e11) = e21 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e21)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_18_134,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_18_132,refute_18_133]) ).
cnf(refute_18_135,plain,
( h1(e13) != e21
| h3(e11) != e21
| h1(e13) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_18_136,plain,
( h1(e13) != e21
| h1(e13) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_18_134,refute_18_135]) ).
cnf(refute_18_137,plain,
h1(e13) != e21,
inference(resolve,[$cnf( $equal(h1(e13),h3(e11)) )],[refute_18_136,refute_18_122]) ).
cnf(refute_18_138,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_18_96,refute_18_137]) ).
cnf(refute_18_139,plain,
op2(h4(e11),e20) = op2(h4(e11),e20),
introduced(tautology,[refl,[$fot(op2(h4(e11),e20))]]) ).
cnf(refute_18_140,plain,
( h4(e11) != e21
| op2(h4(e11),e20) != op2(h4(e11),e20)
| op2(h4(e11),e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),e20),op2(h4(e11),e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_18_141,plain,
( h4(e11) != e21
| op2(h4(e11),e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e20),op2(h4(e11),e20)) )],[refute_18_139,refute_18_140]) ).
cnf(refute_18_142,plain,
op2(h4(e11),e20) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_18_138,refute_18_141]) ).
cnf(refute_18_143,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e20)
| op2(h4(e11),e20) != op2(e21,e20)
| h4(op1(e11,e13)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(e21,e20)) ),[0],$fot(op2(h4(e11),e20))]]) ).
cnf(refute_18_144,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e20)
| h4(op1(e11,e13)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e20),op2(e21,e20)) )],[refute_18_142,refute_18_143]) ).
cnf(refute_18_145,plain,
h4(op1(e11,e13)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),e20)) )],[refute_18_58,refute_18_144]) ).
cnf(refute_18_146,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_18_29]) ).
cnf(refute_18_147,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_18_31]) ).
cnf(refute_18_148,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_18_33]) ).
cnf(refute_18_149,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_18_150,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_18_148,refute_18_149]) ).
cnf(refute_18_151,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) != e13
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_18_152,plain,
( e13 != op1(e12,e13)
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_18_150,refute_18_151]) ).
cnf(refute_18_153,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_18_152,refute_18_147]) ).
cnf(refute_18_154,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_18_155,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_18_154,refute_18_153]) ).
cnf(refute_18_156,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_18_146,refute_18_155]) ).
cnf(refute_18_157,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(canonicalize,[],[normalize_18_34]) ).
cnf(refute_18_158,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(canonicalize,[],[normalize_18_35]) ).
cnf(refute_18_159,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = e10 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e12,e12),op1(e12,e12))))]]) ).
cnf(refute_18_160,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_18_158,refute_18_159]) ).
cnf(refute_18_161,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_18_162,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_18_163,plain,
( op1(op1(e12,e12),op1(e12,e12)) != e10
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_18_161,refute_18_162]) ).
cnf(refute_18_164,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),e10) )],[refute_18_160,refute_18_163]) ).
cnf(refute_18_165,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) != op1(e10,op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,op1(e12,e12))) ),[0],$fot(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)))]]) ).
cnf(refute_18_166,plain,
( e11 != op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
| e11 = op1(e10,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_18_164,refute_18_165]) ).
cnf(refute_18_167,plain,
e11 = op1(e10,op1(e12,e12)),
inference(resolve,[$cnf( $equal(e11,op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))) )],[refute_18_157,refute_18_166]) ).
cnf(refute_18_168,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_18_169,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_18_170,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_18_168,refute_18_169]) ).
cnf(refute_18_171,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_18_150,refute_18_170]) ).
cnf(refute_18_172,plain,
( e11 != op1(e10,op1(e12,e12))
| op1(e10,op1(e12,e12)) != op1(e10,e13)
| e11 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e10,e13)) ),[0],$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_18_173,plain,
( e11 != op1(e10,op1(e12,e12))
| e11 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_18_171,refute_18_172]) ).
cnf(refute_18_174,plain,
e11 = op1(e10,e13),
inference(resolve,[$cnf( $equal(e11,op1(e10,op1(e12,e12))) )],[refute_18_167,refute_18_173]) ).
cnf(refute_18_175,plain,
( e11 != op1(e10,e13)
| op1(e10,e13) = e11 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_18_176,plain,
op1(e10,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e13)) )],[refute_18_174,refute_18_175]) ).
cnf(refute_18_177,plain,
( op1(e10,e13) != e11
| op1(e10,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_18_178,plain,
( op1(e10,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_18_176,refute_18_177]) ).
cnf(refute_18_179,plain,
( e11 = e13
| op1(e11,e13) = e13
| op1(e13,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_18_156,refute_18_178]) ).
cnf(refute_18_180,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_18_181,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_18_182,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_18_180,refute_18_181]) ).
cnf(refute_18_183,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_18_150,refute_18_182]) ).
cnf(refute_18_184,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_18_185,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_18_186,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_18_184,refute_18_185]) ).
cnf(refute_18_187,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_18_150,refute_18_186]) ).
cnf(refute_18_188,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(subst,[],[refute_18_40:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).
cnf(refute_18_189,plain,
( op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_18_187,refute_18_188]) ).
cnf(refute_18_190,plain,
op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_18_183,refute_18_189]) ).
cnf(refute_18_191,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).
cnf(refute_18_192,plain,
( e10 != op1(op1(e12,e12),op1(e12,e12))
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_18_190,refute_18_191]) ).
cnf(refute_18_193,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),op1(e12,e12))) )],[refute_18_158,refute_18_192]) ).
cnf(refute_18_194,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_18_195,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_18_193,refute_18_194]) ).
cnf(refute_18_196,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_18_197,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_18_195,refute_18_196]) ).
cnf(refute_18_198,plain,
( e10 = e13
| e11 = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_18_179,refute_18_197]) ).
cnf(refute_18_199,plain,
e10 != e13,
inference(canonicalize,[],[normalize_18_37]) ).
cnf(refute_18_200,plain,
( e11 = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_18_198,refute_18_199]) ).
cnf(refute_18_201,plain,
e11 != e13,
inference(canonicalize,[],[normalize_18_38]) ).
cnf(refute_18_202,plain,
op1(e11,e13) = e13,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_18_200,refute_18_201]) ).
cnf(refute_18_203,plain,
h4(op1(e11,e13)) = h4(op1(e11,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e13)))]]) ).
cnf(refute_18_204,plain,
( h4(op1(e11,e13)) != h4(op1(e11,e13))
| op1(e11,e13) != e13
| h4(op1(e11,e13)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) ),[1,0],$fot(e13)]]) ).
cnf(refute_18_205,plain,
( op1(e11,e13) != e13
| h4(op1(e11,e13)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) )],[refute_18_203,refute_18_204]) ).
cnf(refute_18_206,plain,
h4(op1(e11,e13)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_18_202,refute_18_205]) ).
cnf(refute_18_207,plain,
( h4(e13) != e20
| h4(op1(e11,e13)) != h4(e13)
| h4(op1(e11,e13)) = e20 ),
inference(subst,[],[refute_18_40:[bind(X,$fot(h4(op1(e11,e13)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_18_208,plain,
( h4(e13) != e20
| h4(op1(e11,e13)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(e13)) )],[refute_18_206,refute_18_207]) ).
cnf(refute_18_209,plain,
h4(op1(e11,e13)) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_18_51,refute_18_208]) ).
cnf(refute_18_210,plain,
( h4(op1(e11,e13)) != e20
| h4(op1(e11,e13)) != op2(e21,e20)
| e20 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e20)) ),[0],$fot(e20)]]) ).
cnf(refute_18_211,plain,
( h4(op1(e11,e13)) != op2(e21,e20)
| e20 = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),e20) )],[refute_18_209,refute_18_210]) ).
cnf(refute_18_212,plain,
e20 = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e20)) )],[refute_18_145,refute_18_211]) ).
cnf(refute_18_213,plain,
( e20 != op2(e21,e20)
| op2(e21,e20) = e20 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_18_214,plain,
op2(e21,e20) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e20)) )],[refute_18_212,refute_18_213]) ).
cnf(refute_18_215,plain,
( h1(e13) != e20
| op2(e21,e20) != e20
| h1(e13) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e21,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_18_216,plain,
( h1(e13) != e20
| h1(e13) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_18_214,refute_18_215]) ).
cnf(refute_18_217,plain,
h1(e13) != e20,
inference(resolve,[$cnf( $equal(h1(e13),op2(e21,e20)) )],[refute_18_216,refute_18_22]) ).
cnf(refute_18_218,plain,
( h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_18_18,refute_18_217]) ).
cnf(refute_18_219,plain,
( h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_18_218,refute_18_137]) ).
cnf(refute_18_220,plain,
h4(e10) != e22,
inference(canonicalize,[],[normalize_18_39]) ).
cnf(refute_18_221,plain,
( h1(e13) != e22
| h4(e10) != h1(e13)
| h4(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h1(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_18_222,plain,
( h1(e13) != e22
| h4(e10) = e22 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_18_80,refute_18_221]) ).
cnf(refute_18_223,plain,
h1(e13) != e22,
inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_18_222,refute_18_220]) ).
cnf(refute_18_224,plain,
h1(e13) = e23,
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_18_219,refute_18_223]) ).
cnf(refute_18_225,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_18_40]) ).
cnf(refute_18_226,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_18_227,plain,
( h1(e13) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_6,refute_18_226]) ).
cnf(refute_18_228,plain,
h1(e13) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_18_227,refute_18_225]) ).
cnf(refute_18_229,plain,
h4(op1(e12,e13)) = op2(h4(e12),h4(e13)),
inference(canonicalize,[],[normalize_18_41]) ).
cnf(refute_18_230,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_18_231,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_18_232,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_18_230,refute_18_231]) ).
cnf(refute_18_233,plain,
op2(e23,h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_18_51,refute_18_232]) ).
cnf(refute_18_234,plain,
op2(h4(e12),h4(e13)) = op2(h4(e12),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_18_235,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_18_236,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) )],[refute_18_234,refute_18_235]) ).
cnf(refute_18_237,plain,
op2(h4(e12),h4(e13)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_18_84,refute_18_236]) ).
cnf(refute_18_238,plain,
( op2(e23,h4(e13)) != op2(e23,e20)
| op2(h4(e12),h4(e13)) != op2(e23,h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,e20) ),
inference(subst,[],[refute_18_40:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e23,h4(e13)))),bind(Z,$fot(op2(e23,e20)))]]) ).
cnf(refute_18_239,plain,
( op2(e23,h4(e13)) != op2(e23,e20)
| op2(h4(e12),h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,h4(e13))) )],[refute_18_237,refute_18_238]) ).
cnf(refute_18_240,plain,
op2(h4(e12),h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e20)) )],[refute_18_233,refute_18_239]) ).
cnf(refute_18_241,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) != op2(e23,e20)
| h4(op1(e12,e13)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(e23,e20)) ),[0],$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_18_242,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,e20)) )],[refute_18_240,refute_18_241]) ).
cnf(refute_18_243,plain,
h4(op1(e12,e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) )],[refute_18_229,refute_18_242]) ).
cnf(refute_18_244,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_18_43]) ).
cnf(refute_18_245,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_18_244,refute_18_155]) ).
cnf(refute_18_246,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_18_44]) ).
cnf(refute_18_247,plain,
( op1(e12,e13) != e10
| op1(e13,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_18_248,plain,
( op1(e12,e13) != e10
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_18_195,refute_18_247]) ).
cnf(refute_18_249,plain,
op1(e12,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_18_248,refute_18_246]) ).
cnf(refute_18_250,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_18_245,refute_18_249]) ).
cnf(refute_18_251,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_18_45]) ).
cnf(refute_18_252,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e11) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_18_253,plain,
( e11 != op1(e12,e13)
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_18_176,refute_18_252]) ).
cnf(refute_18_254,plain,
e11 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_18_253,refute_18_251]) ).
cnf(refute_18_255,plain,
( op1(e12,e13) != e11
| e11 = op1(e12,e13) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e11))]]) ).
cnf(refute_18_256,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_18_255,refute_18_254]) ).
cnf(refute_18_257,plain,
op1(e12,e13) = e12,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_18_250,refute_18_256]) ).
cnf(refute_18_258,plain,
h4(op1(e12,e13)) = h4(op1(e12,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e13)))]]) ).
cnf(refute_18_259,plain,
( h4(op1(e12,e13)) != h4(op1(e12,e13))
| op1(e12,e13) != e12
| h4(op1(e12,e13)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_18_260,plain,
( op1(e12,e13) != e12
| h4(op1(e12,e13)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) )],[refute_18_258,refute_18_259]) ).
cnf(refute_18_261,plain,
h4(op1(e12,e13)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_18_257,refute_18_260]) ).
cnf(refute_18_262,plain,
( h4(e12) != e23
| h4(op1(e12,e13)) != h4(e12)
| h4(op1(e12,e13)) = e23 ),
inference(subst,[],[refute_18_40:[bind(X,$fot(h4(op1(e12,e13)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).
cnf(refute_18_263,plain,
( h4(e12) != e23
| h4(op1(e12,e13)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(e12)) )],[refute_18_261,refute_18_262]) ).
cnf(refute_18_264,plain,
h4(op1(e12,e13)) = e23,
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_18_84,refute_18_263]) ).
cnf(refute_18_265,plain,
( h4(op1(e12,e13)) != e23
| h4(op1(e12,e13)) != op2(e23,e20)
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e20)) ),[0],$fot(e23)]]) ).
cnf(refute_18_266,plain,
( h4(op1(e12,e13)) != op2(e23,e20)
| e23 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),e23) )],[refute_18_264,refute_18_265]) ).
cnf(refute_18_267,plain,
e23 = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e23,e20)) )],[refute_18_243,refute_18_266]) ).
cnf(refute_18_268,plain,
( e23 != op2(e23,e20)
| op2(e23,e20) = e23 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_18_269,plain,
op2(e23,e20) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_18_267,refute_18_268]) ).
cnf(refute_18_270,plain,
( h1(e13) != e23
| op2(e23,e20) != e23
| h1(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e23,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_18_271,plain,
( h1(e13) != e23
| h1(e13) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_18_269,refute_18_270]) ).
cnf(refute_18_272,plain,
h1(e13) != e23,
inference(resolve,[$cnf( $equal(h1(e13),op2(e23,e20)) )],[refute_18_271,refute_18_228]) ).
cnf(refute_18_273,plain,
$false,
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_18_224,refute_18_272]) ).
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(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_19_2,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_19_1]) ).
fof(normalize_19_3,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_19_4,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_19_3]) ).
fof(normalize_19_5,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_19_6,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_19_5]) ).
fof(normalize_19_7,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_19_8,plain,
h3(e12) = 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
% 0.00/0.09 % Problem : ALG110+1 : TPTP v8.1.0. Released v2.7.0.
% 0.09/0.10 % Command : metis --show proof --show saturation %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Wed Jun 8 12:21:21 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 5.70/5.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.70/5.96
% 5.70/5.96 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.63/6.79
%------------------------------------------------------------------------------