%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG125+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 17:36:39 EDT 2022
% Result : Theorem 16.00s 16.19s
% Output : CNFRefutation 16.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 121
% Number of leaves : 1940
% Syntax : Number of formulae : 9272 (2741 unt; 11 def)
% Number of atoms : 35875 (34521 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 40616 (14013 ~;18276 |;8235 &)
% ( 52 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 11 usr; 12 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 197 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ) ).
fof(ax2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ) ).
fof(ax3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ) ).
fof(ax4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ) ).
fof(ax5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ) ).
fof(ax6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ) ).
fof(ax7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ) ).
fof(ax8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ) ).
fof(ax10,axiom,
( ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) ) ).
fof(ax11,axiom,
( ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) ) ).
fof(ax12,axiom,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ) ).
fof(ax13,axiom,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ) ).
fof(ax14,axiom,
( h1(e13) = e20
& h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20))) ) ).
fof(ax15,axiom,
( h2(e13) = e21
& h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21))) ) ).
fof(ax16,axiom,
( h3(e13) = e22
& h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22))) ) ).
fof(ax17,axiom,
( h4(e13) = e23
& h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),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_0
<=> ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) ) ) ) ).
fof(definition_1,definition,
( definitionFOFtoCNF_1
<=> ( op1(e10,op1(e10,e10)) = op1(e10,e10)
| op1(e11,op1(e10,e11)) = op1(e10,e11)
| op1(e12,op1(e10,e12)) = op1(e10,e12)
| op1(e13,op1(e10,e13)) = op1(e10,e13) ) ) ).
fof(definition_2,definition,
( definitionFOFtoCNF_13
<=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ) ).
fof(definition_3,definition,
( definitionFOFtoCNF_15
<=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ) ).
fof(definition_4,definition,
( definitionFOFtoCNF_17
<=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ) ).
fof(definition_5,definition,
( definitionFOFtoCNF_2
<=> ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) ) ) ).
fof(definition_6,definition,
( definitionFOFtoCNF_3
<=> ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) ) ) ) ).
fof(definition_7,definition,
( definitionFOFtoCNF_4
<=> ( op2(e20,op2(e20,e20)) = op2(e20,e20)
| op2(e21,op2(e20,e21)) = op2(e20,e21)
| op2(e22,op2(e20,e22)) = op2(e20,e22)
| op2(e23,op2(e20,e23)) = op2(e20,e23) ) ) ).
fof(definition_8,definition,
( definitionFOFtoCNF_45
<=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ) ).
fof(definition_9,definition,
( definitionFOFtoCNF_5
<=> ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) ) ) ).
fof(definition_10,definition,
( definitionFOFtoCNF_9
<=> ( 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,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(e20,op2(e20,e20)) = op2(e20,e20)
| op2(e21,op2(e20,e21)) = op2(e20,e21)
| op2(e22,op2(e20,e22)) = op2(e20,e22)
| op2(e23,op2(e20,e23)) = op2(e20,e23) )
& ( op2(e20,op2(e21,e20)) = op2(e21,e20)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e23,op2(e21,e23)) = op2(e21,e23) ) ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_0_1,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_0_2,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(e20,op2(e21,e20)) = op2(e21,e20)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e23,op2(e21,e23)) = op2(e21,e23) ) ) ),
inference(simplify,[],[normalize_0_0,normalize_0_1]) ).
fof(normalize_0_3,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( op2(e20,op2(e21,e20)) != op2(e21,e20)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e21,op2(e21,e21)) != op2(e21,e21)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e22,op2(e21,e22)) != op2(e21,e22)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e23,op2(e21,e23)) != op2(e21,e23)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e20,op2(e21,e20)) = op2(e21,e20)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e23,op2(e21,e23)) = op2(e21,e23)
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
( op2(e22,op2(e21,e22)) != op2(e21,e22)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,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_6,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_0_8,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_0_10,plain,
e21 != e23,
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
( ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_0_12,plain,
( op2(e20,e20) != e23
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_0_14,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,op1(e10,e10)) = op1(e10,e10)
| op1(e11,op1(e10,e11)) = op1(e10,e11)
| op1(e12,op1(e10,e12)) = op1(e10,e12)
| op1(e13,op1(e10,e13)) = op1(e10,e13) )
& ( op1(e10,op1(e11,e10)) = op1(e11,e10)
| op1(e11,op1(e11,e11)) = op1(e11,e11)
| op1(e12,op1(e11,e12)) = op1(e11,e12)
| op1(e13,op1(e11,e13)) = op1(e11,e13) ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_0_16,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_0_17,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,op1(e11,e10)) = op1(e11,e10)
| op1(e11,op1(e11,e11)) = op1(e11,e11)
| op1(e12,op1(e11,e12)) = op1(e11,e12)
| op1(e13,op1(e11,e13)) = op1(e11,e13) ) ) ),
inference(simplify,[],[normalize_0_15,normalize_0_16]) ).
fof(normalize_0_18,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( op1(e10,op1(e11,e10)) != op1(e11,e10)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op1(e11,op1(e11,e11)) != op1(e11,e11)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op1(e12,op1(e11,e12)) != op1(e11,e12)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op1(e13,op1(e11,e13)) != op1(e11,e13)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op1(e10,op1(e11,e10)) = op1(e11,e10)
| op1(e11,op1(e11,e11)) = op1(e11,e11)
| op1(e12,op1(e11,e12)) = op1(e11,e12)
| op1(e13,op1(e11,e13)) = op1(e11,e13)
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
( op1(e12,op1(e11,e12)) != op1(e11,e12)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_20,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_21,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
( ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_0_23,plain,
( op1(e11,e11) != e13
| op1(e11,e13) = e11 ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_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_0_25,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_0_27,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_29,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(conjunct,[],[normalize_0_26]) ).
fof(normalize_0_30,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_0_31,plain,
e11 != e13,
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
op1(e10,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_33,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_34,plain,
e10 != e11,
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_35,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_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_0_37,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_39,plain,
( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_40,plain,
op1(e12,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_41,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_42,plain,
e12 != e13,
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_43,plain,
e10 != e13,
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_44,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_45,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_46,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_0_47,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_0_46]) ).
fof(normalize_0_48,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_0_49,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_0_48]) ).
fof(normalize_0_50,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_44,normalize_0_45,normalize_0_47,normalize_0_49]) ).
fof(normalize_0_51,plain,
h4(op1(e10,e10)) != op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_0_50]) ).
fof(normalize_0_52,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_0_53,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_0_52]) ).
fof(normalize_0_54,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_55,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_56,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(conjunct,[],[normalize_0_26]) ).
fof(normalize_0_57,plain,
e10 != e12,
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_58,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_59,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_60,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_61,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_62,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_63,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_64,plain,
( op2(e20,e20) != e21
| op2(e20,e21) = e20 ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_65,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_66,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_0_46]) ).
fof(normalize_0_67,plain,
op1(e10,e11) != op1(e10,e12),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_68,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_69,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_70,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_0_36]) ).
fof(normalize_0_71,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_72,plain,
( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_73,plain,
( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
| definitionFOFtoCNF_1 )
& ( op1(e11,op1(e10,e11)) != op1(e10,e11)
| definitionFOFtoCNF_1 )
& ( op1(e12,op1(e10,e12)) != op1(e10,e12)
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e10,e13)) != op1(e10,e13)
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_1
| op1(e10,op1(e10,e10)) = op1(e10,e10)
| op1(e11,op1(e10,e11)) = op1(e10,e11)
| op1(e12,op1(e10,e12)) = op1(e10,e12)
| op1(e13,op1(e10,e13)) = op1(e10,e13) ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_74,plain,
( op1(e10,op1(e10,e10)) != op1(e10,e10)
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_0_73]) ).
fof(normalize_0_75,plain,
( op1(e12,op1(e10,e12)) != op1(e10,e12)
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_0_73]) ).
fof(normalize_0_76,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_77,plain,
op1(e12,e10) != op1(e12,e13),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_78,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_0_36]) ).
fof(normalize_0_79,plain,
op1(e12,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_80,plain,
op1(e11,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_81,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_0_36]) ).
fof(normalize_0_82,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_83,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_84,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,op1(e12,e10)) = op1(e12,e10)
| op1(e11,op1(e12,e11)) = op1(e12,e11)
| op1(e12,op1(e12,e12)) = op1(e12,e12)
| op1(e13,op1(e12,e13)) = op1(e12,e13) ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_0_85,plain,
( ( op1(e10,op1(e12,e10)) != op1(e12,e10)
| ~ definitionFOFtoCNF_2 )
& ( op1(e11,op1(e12,e11)) != op1(e12,e11)
| ~ definitionFOFtoCNF_2 )
& ( op1(e12,op1(e12,e12)) != op1(e12,e12)
| ~ definitionFOFtoCNF_2 )
& ( op1(e13,op1(e12,e13)) != op1(e12,e13)
| ~ definitionFOFtoCNF_2 )
& ( op1(e10,op1(e12,e10)) = op1(e12,e10)
| op1(e11,op1(e12,e11)) = op1(e12,e11)
| op1(e12,op1(e12,e12)) = op1(e12,e12)
| op1(e13,op1(e12,e13)) = op1(e12,e13)
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_0_84]) ).
fof(normalize_0_86,plain,
( op1(e12,op1(e12,e12)) != op1(e12,e12)
| ~ definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_0_85]) ).
fof(normalize_0_87,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_88,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(conjunct,[],[normalize_0_36]) ).
fof(normalize_0_89,plain,
( op1(e12,e12) != e10
| op1(e12,e10) = e12 ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_90,plain,
( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_91,plain,
( definitionFOFtoCNF_0
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ),
inference(simplify,[],[normalize_0_90,normalize_0_17,normalize_0_16]) ).
fof(normalize_0_92,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ),
inference(simplify,[],[normalize_0_91,normalize_0_84]) ).
fof(normalize_0_93,plain,
( ( op1(e10,op1(e13,e10)) != op1(e13,e10)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e13,e11)) != op1(e13,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,op1(e13,e12)) != op1(e13,e12)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,op1(e13,e13)) != op1(e13,e13)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_0_92]) ).
fof(normalize_0_94,plain,
( op1(e12,op1(e13,e12)) != op1(e13,e12)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_0_93]) ).
fof(normalize_0_95,plain,
e20 != e23,
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_96,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_97,plain,
( ~ definitionFOFtoCNF_9
<=> ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 ) ),
inference(canonicalize,[],[definition_10]) ).
fof(normalize_0_98,plain,
( ( h2(e10) != e22
| ~ definitionFOFtoCNF_9 )
& ( h2(e11) != e22
| ~ definitionFOFtoCNF_9 )
& ( h2(e12) != e22
| ~ definitionFOFtoCNF_9 )
& ( h2(e13) != e22
| ~ definitionFOFtoCNF_9 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_9 ) ),
inference(clausify,[],[normalize_0_97]) ).
fof(normalize_0_99,plain,
( h2(e12) != e22
| ~ definitionFOFtoCNF_9 ),
inference(conjunct,[],[normalize_0_98]) ).
fof(normalize_0_100,plain,
h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21))),
inference(conjunct,[],[normalize_0_46]) ).
fof(normalize_0_101,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_0_46]) ).
fof(normalize_0_102,plain,
op2(e21,e22) != op2(e21,e23),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_103,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_104,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_105,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_106,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_107,plain,
h3(e11) = op2(e22,e22),
inference(conjunct,[],[normalize_0_48]) ).
fof(normalize_0_108,plain,
( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_109,plain,
e20 != e21,
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_110,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_111,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_112,plain,
e20 != e22,
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_113,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_114,plain,
( op2(e21,e21) != e23
| op2(e21,e23) = e21 ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_115,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_116,plain,
e22 != e23,
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_117,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(e20,op2(e22,e20)) = op2(e22,e20)
| op2(e21,op2(e22,e21)) = op2(e22,e21)
| op2(e22,op2(e22,e22)) = op2(e22,e22)
| op2(e23,op2(e22,e23)) = op2(e22,e23) ) ),
inference(canonicalize,[],[definition_9]) ).
fof(normalize_0_118,plain,
( ( op2(e20,op2(e22,e20)) != op2(e22,e20)
| ~ definitionFOFtoCNF_5 )
& ( op2(e21,op2(e22,e21)) != op2(e22,e21)
| ~ definitionFOFtoCNF_5 )
& ( op2(e22,op2(e22,e22)) != op2(e22,e22)
| ~ definitionFOFtoCNF_5 )
& ( op2(e23,op2(e22,e23)) != op2(e22,e23)
| ~ definitionFOFtoCNF_5 )
& ( op2(e20,op2(e22,e20)) = op2(e22,e20)
| op2(e21,op2(e22,e21)) = op2(e22,e21)
| op2(e22,op2(e22,e22)) = op2(e22,e22)
| op2(e23,op2(e22,e23)) = op2(e22,e23)
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_0_117]) ).
fof(normalize_0_119,plain,
( op2(e22,op2(e22,e22)) != op2(e22,e22)
| ~ definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_0_118]) ).
fof(normalize_0_120,plain,
( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_121,plain,
( definitionFOFtoCNF_3
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ),
inference(simplify,[],[normalize_0_120,normalize_0_2,normalize_0_1]) ).
fof(normalize_0_122,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ),
inference(simplify,[],[normalize_0_121,normalize_0_117]) ).
fof(normalize_0_123,plain,
( ( op2(e20,op2(e23,e20)) != op2(e23,e20)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e21,op2(e23,e21)) != op2(e23,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e22,op2(e23,e22)) != op2(e23,e22)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e23,op2(e23,e23)) != op2(e23,e23)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_0_122]) ).
fof(normalize_0_124,plain,
( op2(e22,op2(e23,e22)) != op2(e23,e22)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_0_123]) ).
fof(normalize_0_125,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_126,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_127,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_128,plain,
( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_9 ),
inference(conjunct,[],[normalize_0_98]) ).
fof(normalize_0_129,plain,
( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
| definitionFOFtoCNF_4 )
& ( op2(e21,op2(e20,e21)) != op2(e20,e21)
| definitionFOFtoCNF_4 )
& ( op2(e22,op2(e20,e22)) != op2(e20,e22)
| definitionFOFtoCNF_4 )
& ( op2(e23,op2(e20,e23)) != op2(e20,e23)
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_4
| op2(e20,op2(e20,e20)) = op2(e20,e20)
| op2(e21,op2(e20,e21)) = op2(e20,e21)
| op2(e22,op2(e20,e22)) = op2(e20,e22)
| op2(e23,op2(e20,e23)) = op2(e20,e23) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_130,plain,
( op2(e20,op2(e20,e20)) != op2(e20,e20)
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_0_129]) ).
fof(normalize_0_131,plain,
( op2(e22,op2(e20,e22)) != op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_0_129]) ).
fof(normalize_0_132,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_133,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_134,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_135,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_136,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_137,plain,
op2(e21,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_138,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_139,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_140,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_141,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_142,plain,
op1(e10,e11) != op1(e12,e11),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_143,plain,
( op1(e12,e12) != e11
| op1(e12,e11) = e12 ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_144,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_145,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_146,plain,
op1(e11,e10) != op1(e11,e12),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_147,plain,
( op1(e10,op1(e12,e10)) != op1(e12,e10)
| ~ definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_0_85]) ).
fof(normalize_0_148,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_149,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_150,plain,
op1(e11,e12) != op1(e11,e13),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_151,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_152,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_153,plain,
op1(e11,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_154,plain,
( op1(e11,op1(e12,e11)) != op1(e12,e11)
| ~ definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_0_85]) ).
fof(normalize_0_155,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_156,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_157,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_158,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_159,plain,
op1(e12,e10) != op1(e12,e12),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_160,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_0_52]) ).
cnf(refute_0_0,plain,
( op2(e22,op2(e21,e22)) != op2(e21,e22)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_0_8]) ).
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( $equal(X,X) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_0_7,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e21)]]) ).
cnf(refute_0_9,plain,
( op2(e23,e23) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( e21 = e23
| op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_0_1,refute_0_9]) ).
cnf(refute_0_11,plain,
e21 != e23,
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_12,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( op2(e20,e20) != e23
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_14,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_15,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_0_16,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( h1(e11) != e23
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_0_18,plain,
( h1(e11) != e23
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
( h1(e11) != e23
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_0_18,refute_0_13]) ).
cnf(refute_0_20,plain,
( op1(e12,op1(e11,e12)) != op1(e11,e12)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_21,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_22,plain,
( op1(e11,e11) != e13
| op1(e11,e13) = e11 ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_23,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_24,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_25,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_0_26,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_0_28,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_0_28,refute_0_23]) ).
cnf(refute_0_30,plain,
op1(e11,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_0_22,refute_0_29]) ).
cnf(refute_0_31,plain,
( op1(e11,e10) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_0_21,refute_0_30]) ).
cnf(refute_0_32,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_33,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_34,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_0_35,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_0_36,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_26,refute_0_36]) ).
cnf(refute_0_38,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_0_39,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_0_40,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_26,refute_0_40]) ).
cnf(refute_0_42,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_43,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_5,refute_0_42]) ).
cnf(refute_0_44,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_0_43:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_0_45,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_0_37,refute_0_45]) ).
cnf(refute_0_47,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_0_48,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| e10 = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
e10 = op1(e11,e11),
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_0_33,refute_0_48]) ).
cnf(refute_0_50,plain,
( e10 != op1(e11,e11)
| op1(e11,e11) = e10 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e11)))]]) ).
cnf(refute_0_51,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( e10 != e10
| op1(e11,e11) != e10
| op1(e11,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(e10)]]) ).
cnf(refute_0_53,plain,
( e10 != e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( e10 != e10
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_53,refute_0_32]) ).
cnf(refute_0_55,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_0_56,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_0_55,refute_0_54]) ).
cnf(refute_0_57,plain,
( op1(e11,e10) != e11
| op1(e11,e10) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e13) ),[0],$fot(e11)]]) ).
cnf(refute_0_58,plain,
( op1(e11,e10) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
( e11 = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_0_31,refute_0_58]) ).
cnf(refute_0_60,plain,
e11 != e13,
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_61,plain,
( op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
op1(e10,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_63,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_64,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_0_65,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_26,refute_0_64]) ).
cnf(refute_0_66,plain,
( e11 = e13
| op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_0_63,refute_0_65]) ).
cnf(refute_0_67,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_66,refute_0_60]) ).
cnf(refute_0_68,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e11) ),[0],$fot(e10)]]) ).
cnf(refute_0_69,plain,
( op1(e11,e11) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_51,refute_0_68]) ).
cnf(refute_0_70,plain,
( e10 = e11
| op1(e10,e10) = e10
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_0_67,refute_0_69]) ).
cnf(refute_0_71,plain,
e10 != e11,
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_72,plain,
( op1(e10,e10) = e10
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_74,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_75,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_0_74,refute_0_29]) ).
cnf(refute_0_76,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_77,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) != e10
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_0_78,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_51,refute_0_77]) ).
cnf(refute_0_79,plain,
e10 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_0_78,refute_0_76]) ).
cnf(refute_0_80,plain,
( op1(e11,e13) != e10
| e10 = op1(e11,e13) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e10))]]) ).
cnf(refute_0_81,plain,
op1(e11,e13) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e13)) )],[refute_0_80,refute_0_79]) ).
cnf(refute_0_82,plain,
( op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_0_75,refute_0_81]) ).
cnf(refute_0_83,plain,
( e13 != op1(e12,e13)
| op1(e11,e13) != e13
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_0_84,plain,
( e13 != op1(e12,e13)
| op1(e11,e13) = e12
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
( e13 != op1(e12,e13)
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_0_84,refute_0_73]) ).
cnf(refute_0_86,plain,
( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_87,plain,
op1(e12,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_88,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_89,plain,
( e11 != e11
| op1(e13,e13) != e11
| op1(e13,e13) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).
cnf(refute_0_90,plain,
( e11 != e11
| op1(e13,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_26,refute_0_89]) ).
cnf(refute_0_91,plain,
( e11 != e11
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_90,refute_0_88]) ).
cnf(refute_0_92,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_0_93,plain,
op1(e13,e11) = e13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_92,refute_0_91]) ).
cnf(refute_0_94,plain,
( op1(e12,e11) != e13
| op1(e13,e11) != e13
| op1(e12,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_0_95,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
op1(e12,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e13,e11)) )],[refute_0_95,refute_0_87]) ).
cnf(refute_0_97,plain,
( op1(e12,e10) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_0_86,refute_0_96]) ).
cnf(refute_0_98,plain,
( e13 != e13
| op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_0_99,plain,
( e13 != e13
| e13 = op1(e12,e13)
| op1(e12,e10) = e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
( e13 != e13
| op1(e11,e13) = e12
| op1(e12,e10) = e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_0_99,refute_0_85]) ).
cnf(refute_0_101,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_0_102,plain,
( op1(e11,e13) = e12
| op1(e12,e10) = e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_101,refute_0_100]) ).
cnf(refute_0_103,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_0_104,plain,
( op1(e12,e12) != e12
| e13 = e12
| op1(e11,e13) = e12
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
( e13 = e12
| op1(e10,e10) = e10
| op1(e11,e13) = e12
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_0_72,refute_0_104]) ).
cnf(refute_0_106,plain,
e12 != e13,
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_107,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_0_108,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_0_107,refute_0_106]) ).
cnf(refute_0_109,plain,
( op1(e10,e10) = e10
| op1(e11,e13) = e12
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
( op1(e10,e10) != e13
| op1(e12,e10) != e13
| op1(e10,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e12,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_0_111,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = e10
| op1(e10,e10) = op1(e12,e10)
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e12,e10)) )],[refute_0_111,refute_0_62]) ).
cnf(refute_0_113,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0],$fot(e13)]]) ).
cnf(refute_0_114,plain,
( op1(e10,e10) != e13
| e13 = e10
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
e10 != e13,
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_116,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_0_117,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_0_116,refute_0_115]) ).
cnf(refute_0_118,plain,
( op1(e10,e10) != e13
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_0_114,refute_0_117]) ).
cnf(refute_0_119,plain,
h4(op1(e10,e10)) != op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_120,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_121,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_122,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = e20 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_0_123,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_0_125,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_0_120,refute_0_125]) ).
cnf(refute_0_127,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_0_128,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_129,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_126,refute_0_129]) ).
cnf(refute_0_131,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_0_132,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_133,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_126,refute_0_133]) ).
cnf(refute_0_135,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_0_43:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_0_136,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_0_130,refute_0_136]) ).
cnf(refute_0_138,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_0_43:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_0_139,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_16,refute_0_139]) ).
cnf(refute_0_141,plain,
( h4(op1(e10,e10)) != h1(e11)
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1],$fot(h1(e11))]]) ).
cnf(refute_0_142,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
h4(op1(e10,e10)) != h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_0_142,refute_0_119]) ).
cnf(refute_0_144,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_145,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_146,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = e10 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_0_147,plain,
op1(op1(e13,e13),op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_0_33,refute_0_146]) ).
cnf(refute_0_148,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
introduced(tautology,[refl,[$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_0_149,plain,
( op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) ),[1,1],$fot(e10)]]) ).
cnf(refute_0_150,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e10) )],[refute_0_147,refute_0_150]) ).
cnf(refute_0_152,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,e10)
| e12 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e10)) ),[0],$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_0_153,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| e12 = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,e10)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
e12 = op1(e13,e10),
inference(resolve,[$cnf( $equal(e12,op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_0_145,refute_0_153]) ).
cnf(refute_0_155,plain,
( e12 != op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e10)))]]) ).
cnf(refute_0_156,plain,
op1(e13,e10) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e10)) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
( op1(e13,e10) != e10
| op1(e13,e10) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e10) ),[0],$fot(e12)]]) ).
cnf(refute_0_158,plain,
( op1(e13,e10) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
( e12 = e10
| op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_0_144,refute_0_158]) ).
cnf(refute_0_160,plain,
e10 != e12,
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_161,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_0_162,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_0_161,refute_0_160]) ).
cnf(refute_0_163,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_0_159,refute_0_162]) ).
cnf(refute_0_164,plain,
( op1(e11,e10) != e10
| op1(e11,e10) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e10) ),[0],$fot(e11)]]) ).
cnf(refute_0_165,plain,
( op1(e11,e10) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_56,refute_0_164]) ).
cnf(refute_0_166,plain,
( e11 = e10
| op1(e10,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_0_163,refute_0_165]) ).
cnf(refute_0_167,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_0_168,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_167,refute_0_71]) ).
cnf(refute_0_169,plain,
( op1(e10,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_0_166,refute_0_168]) ).
cnf(refute_0_170,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_171,plain,
( op1(e13,e10) != e12
| op1(e13,e10) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[0],$fot(e12)]]) ).
cnf(refute_0_172,plain,
( op1(e13,e10) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_0_156,refute_0_171]) ).
cnf(refute_0_173,plain,
( e12 = e13
| op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_0_170,refute_0_172]) ).
cnf(refute_0_174,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_0_173,refute_0_106]) ).
cnf(refute_0_175,plain,
( e11 = e13
| op1(e10,e10) = e13
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_0_174,refute_0_58]) ).
cnf(refute_0_176,plain,
( op1(e10,e10) = e13
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_175,refute_0_60]) ).
cnf(refute_0_177,plain,
( op1(e12,e10) != e10
| op1(e12,e10) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[0],$fot(e13)]]) ).
cnf(refute_0_178,plain,
( op1(e12,e10) != e10
| e13 = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
( e13 = e10
| op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_0_169,refute_0_178]) ).
cnf(refute_0_180,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_0_179,refute_0_117]) ).
cnf(refute_0_181,plain,
( h4(e10) != h1(e11)
| op1(e10,e10) != e10
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e10)]]) ).
cnf(refute_0_182,plain,
( h4(e10) != h1(e11)
| h4(op1(e10,e10)) = h1(e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
( h4(e10) != h1(e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_0_182,refute_0_143]) ).
cnf(refute_0_184,plain,
( e20 != h1(e11)
| h4(e10) != e20
| h4(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(h1(e11))]]) ).
cnf(refute_0_185,plain,
( e20 != h1(e11)
| h4(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_126,refute_0_184]) ).
cnf(refute_0_186,plain,
( e20 != h1(e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_0_185,refute_0_183]) ).
cnf(refute_0_187,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_188,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_0_189,plain,
( op2(e20,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_16,refute_0_188]) ).
cnf(refute_0_190,plain,
( h1(e11) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_187,refute_0_189]) ).
cnf(refute_0_191,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_0_192,plain,
( op2(e20,e20) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_16,refute_0_191]) ).
cnf(refute_0_193,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_0_190,refute_0_192]) ).
cnf(refute_0_194,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_0_195,plain,
( op2(e20,e20) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_16,refute_0_194]) ).
cnf(refute_0_196,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_0_193,refute_0_195]) ).
cnf(refute_0_197,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_0_198,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_16,refute_0_197]) ).
cnf(refute_0_199,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_0_196,refute_0_198]) ).
cnf(refute_0_200,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_201,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_0_202,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_16,refute_0_201]) ).
cnf(refute_0_203,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_204,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
introduced(tautology,[refl,[$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_0_205,plain,
( op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_206,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_0_123,refute_0_206]) ).
cnf(refute_0_208,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e20)) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_0_209,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
e22 = op2(e23,e20),
inference(resolve,[$cnf( $equal(e22,op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_0_203,refute_0_209]) ).
cnf(refute_0_211,plain,
( e22 != op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_0_212,plain,
op2(e23,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
( h1(e11) != e22
| op2(e23,e20) != e22
| h1(e11) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_0_214,plain,
( h1(e11) != e22
| h1(e11) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
( h1(e11) != e22
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,e20)) )],[refute_0_214,refute_0_202]) ).
cnf(refute_0_216,plain,
h1(e11) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_0_215,refute_0_200]) ).
cnf(refute_0_217,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_0_199,refute_0_216]) ).
cnf(refute_0_218,plain,
( op2(e20,e20) != e21
| op2(e20,e21) = e20 ),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_219,plain,
( h1(e11) != e21
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_0_220,plain,
( h1(e11) != e21
| op2(e20,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_16,refute_0_219]) ).
cnf(refute_0_221,plain,
( h1(e11) != e21
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_0_220,refute_0_218]) ).
cnf(refute_0_222,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_223,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_224,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_0_225,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
( op2(e20,e21) != h2(e11)
| op2(e21,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_0_227,plain,
( op2(e20,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
op2(e20,e21) != h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_0_227,refute_0_222]) ).
cnf(refute_0_229,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_0_230,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_231,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_7,refute_0_231]) ).
cnf(refute_0_233,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_0_234,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_235,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_7,refute_0_235]) ).
cnf(refute_0_237,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_0_43:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_0_238,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_0_232,refute_0_238]) ).
cnf(refute_0_240,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_0_43:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_0_241,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_225,refute_0_241]) ).
cnf(refute_0_243,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| e20 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e11)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_0_244,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
e20 = h2(e11),
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_0_121,refute_0_244]) ).
cnf(refute_0_246,plain,
( e20 != h2(e11)
| h2(e11) = e20 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e20)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_0_247,plain,
h2(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h2(e11)) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
( h2(e11) != e20
| op2(e20,e21) != e20
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),h2(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_0_249,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_0_249,refute_0_228]) ).
cnf(refute_0_251,plain,
h1(e11) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_0_221,refute_0_250]) ).
cnf(refute_0_252,plain,
( h1(e11) = e20
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_0_217,refute_0_251]) ).
cnf(refute_0_253,plain,
( e20 != e20
| h1(e11) != e20
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h1(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_0_254,plain,
( e20 != e20
| e20 = h1(e11)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
( e20 != e20
| h1(e11) = e23
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_0_254,refute_0_186]) ).
cnf(refute_0_256,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_0_257,plain,
( h1(e11) = e23
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_256,refute_0_255]) ).
cnf(refute_0_258,plain,
( e13 != e13
| op1(e10,e10) != e13
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(e13)]]) ).
cnf(refute_0_259,plain,
( e13 != e13
| h1(e11) = e23
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
( e13 != e13
| h1(e11) = e23
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_259,refute_0_118]) ).
cnf(refute_0_261,plain,
( h1(e11) = e23
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_101,refute_0_260]) ).
cnf(refute_0_262,plain,
( op1(e11,e13) != e12
| op1(e11,e13) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0],$fot(e12)]]) ).
cnf(refute_0_263,plain,
( op1(e11,e13) != e13
| e12 = e13
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
( e12 = e13
| h1(e11) = e23
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_61,refute_0_263]) ).
cnf(refute_0_265,plain,
( h1(e11) = e23
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_0_264,refute_0_106]) ).
cnf(refute_0_266,plain,
( op1(e11,e12) != e13
| op1(e12,e13) != op1(e11,e12)
| op1(e12,op1(e11,e12)) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e11,e12)),op1(e11,e12)) ),[0,1],$fot(e13)]]) ).
cnf(refute_0_267,plain,
( op1(e12,e13) != op1(e11,e12)
| h1(e11) = e23
| op1(e12,op1(e11,e12)) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
( op1(e12,e13) != op1(e11,e12)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e11,e12)) )],[refute_0_267,refute_0_20]) ).
cnf(refute_0_269,plain,
op1(e10,e11) != op1(e10,e12),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_270,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_271,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_272,plain,
( op1(e10,e12) != e12
| op1(e12,e12) != e12
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_0_273,plain,
( op1(e10,e12) != e12
| op1(e10,e10) = e10
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_0_72,refute_0_272]) ).
cnf(refute_0_274,plain,
( op1(e10,e12) != e12
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_0_273,refute_0_271]) ).
cnf(refute_0_275,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_276,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_277,plain,
( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_278,plain,
( e12 = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_0_277,refute_0_158]) ).
cnf(refute_0_279,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e10) ),[0],$fot(e13)]]) ).
cnf(refute_0_280,plain,
( op1(e13,e11) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_0_93,refute_0_279]) ).
cnf(refute_0_281,plain,
( e12 = e10
| e13 = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_0_278,refute_0_280]) ).
cnf(refute_0_282,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).
cnf(refute_0_283,plain,
( op1(e13,e13) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_26,refute_0_282]) ).
cnf(refute_0_284,plain,
( e11 = e10
| e12 = e10
| e13 = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_0_281,refute_0_283]) ).
cnf(refute_0_285,plain,
( e12 = e10
| e13 = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_0_284,refute_0_168]) ).
cnf(refute_0_286,plain,
( e13 = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_0_285,refute_0_162]) ).
cnf(refute_0_287,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_0_286,refute_0_117]) ).
cnf(refute_0_288,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_0_289,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_0_289,refute_0_276]) ).
cnf(refute_0_291,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_0_275,refute_0_290]) ).
cnf(refute_0_292,plain,
( e12 != e12
| op1(e10,e12) != e12
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_0_293,plain,
( e12 != e12
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
( e12 != e12
| op1(e10,e10) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_293,refute_0_274]) ).
cnf(refute_0_295,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_0_296,plain,
( op1(e10,e10) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_295,refute_0_294]) ).
cnf(refute_0_297,plain,
( op1(e10,e10) != e13
| op1(e10,e12) != e13
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_0_298,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = e10
| op1(e10,e10) = op1(e10,e12)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_0_298,refute_0_270]) ).
cnf(refute_0_300,plain,
( op1(e10,e10) != e13
| e13 = e10
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_299,refute_0_113]) ).
cnf(refute_0_301,plain,
( op1(e10,e10) != e13
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_0_300,refute_0_117]) ).
cnf(refute_0_302,plain,
( op1(e10,op1(e10,e10)) != op1(e10,e10)
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_0_74]) ).
cnf(refute_0_303,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != op1(e10,e10)
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e10)),op1(e10,e10)) ),[0,1],$fot(e10)]]) ).
cnf(refute_0_304,plain,
( op1(e10,e10) != op1(e10,e10)
| op1(e10,e10) = e13
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_180,refute_0_303]) ).
cnf(refute_0_305,plain,
( op1(e10,e10) != op1(e10,e10)
| op1(e10,e10) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),op1(e10,e10)) )],[refute_0_304,refute_0_302]) ).
cnf(refute_0_306,plain,
op1(e10,e10) = op1(e10,e10),
introduced(tautology,[refl,[$fot(op1(e10,e10))]]) ).
cnf(refute_0_307,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e10)) )],[refute_0_306,refute_0_305]) ).
cnf(refute_0_308,plain,
( e13 != e13
| op1(e10,e10) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_307,refute_0_258]) ).
cnf(refute_0_309,plain,
( e13 != e13
| op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_308,refute_0_301]) ).
cnf(refute_0_310,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_101,refute_0_309]) ).
cnf(refute_0_311,plain,
( op1(e10,e11) != e11
| op1(e10,e12) != e11
| op1(e10,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e10,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_0_312,plain,
( op1(e10,e11) != e11
| op1(e10,e11) = op1(e10,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
( op1(e10,e11) != e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e12)) )],[refute_0_312,refute_0_269]) ).
cnf(refute_0_314,plain,
( op1(e12,op1(e10,e12)) != op1(e10,e12)
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_315,plain,
( op1(e10,e12) != e11
| op1(e12,op1(e10,e12)) != e11
| op1(e12,op1(e10,e12)) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e10,e12)),op1(e10,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_0_316,plain,
( op1(e12,op1(e10,e12)) != e11
| op1(e12,op1(e10,e12)) = op1(e10,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_0_310,refute_0_315]) ).
cnf(refute_0_317,plain,
( op1(e12,op1(e10,e12)) != e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e12)),op1(e10,e12)) )],[refute_0_316,refute_0_314]) ).
cnf(refute_0_318,plain,
( op1(e10,e12) != e11
| op1(e12,e11) != e11
| op1(e12,op1(e10,e12)) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e10,e12)),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_0_319,plain,
( op1(e12,e11) != e11
| op1(e12,op1(e10,e12)) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_0_310,refute_0_318]) ).
cnf(refute_0_320,plain,
( op1(e12,e11) != e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e12)),e11) )],[refute_0_319,refute_0_317]) ).
cnf(refute_0_321,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(canonicalize,[],[normalize_0_76]) ).
cnf(refute_0_322,plain,
( op1(e13,e11) != e11
| op1(e13,e11) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(e13)]]) ).
cnf(refute_0_323,plain,
( op1(e13,e11) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_0_93,refute_0_322]) ).
cnf(refute_0_324,plain,
( e13 = e11
| op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_0_321,refute_0_323]) ).
cnf(refute_0_325,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_0_326,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_325,refute_0_60]) ).
cnf(refute_0_327,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_0_324,refute_0_326]) ).
cnf(refute_0_328,plain,
( e10 = e11
| op1(e10,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_0_327,refute_0_69]) ).
cnf(refute_0_329,plain,
( op1(e10,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_328,refute_0_71]) ).
cnf(refute_0_330,plain,
( e11 != e11
| op1(e12,e11) != e11
| op1(e12,e11) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_0_331,plain,
( e11 != e11
| op1(e10,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
( e11 != e11
| op1(e10,e11) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_0_331,refute_0_320]) ).
cnf(refute_0_333,plain,
( e11 != e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_0_332,refute_0_313]) ).
cnf(refute_0_334,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_92,refute_0_333]) ).
cnf(refute_0_335,plain,
( op1(e12,e13) != op1(e11,e12)
| ~ definitionFOFtoCNF_0
| h1(e11) = e23 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_0_334,refute_0_268]) ).
cnf(refute_0_336,plain,
op1(e12,e10) != op1(e12,e13),
inference(canonicalize,[],[normalize_0_77]) ).
cnf(refute_0_337,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_0_78]) ).
cnf(refute_0_338,plain,
op1(e12,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_0_79]) ).
cnf(refute_0_339,plain,
( op1(e12,e10) != e12
| op1(e13,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_0_340,plain,
( op1(e12,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_0_156,refute_0_339]) ).
cnf(refute_0_341,plain,
op1(e12,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e13,e10)) )],[refute_0_340,refute_0_338]) ).
cnf(refute_0_342,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_0_337,refute_0_341]) ).
cnf(refute_0_343,plain,
op1(e11,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_0_80]) ).
cnf(refute_0_344,plain,
( e11 != op1(e12,e10)
| op1(e11,e10) != e11
| op1(e11,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_0_345,plain,
( e11 != op1(e12,e10)
| op1(e11,e10) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_56,refute_0_344]) ).
cnf(refute_0_346,plain,
e11 != op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,e10)) )],[refute_0_345,refute_0_343]) ).
cnf(refute_0_347,plain,
( op1(e12,e10) != e11
| e11 = op1(e12,e10) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e12,e10))),bind(Y,$fot(e11))]]) ).
cnf(refute_0_348,plain,
op1(e12,e10) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e10)) )],[refute_0_347,refute_0_346]) ).
cnf(refute_0_349,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_0_342,refute_0_348]) ).
cnf(refute_0_350,plain,
( op1(e10,e10) != e13
| op1(e10,e10) = op1(e12,e10)
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_0_349,refute_0_110]) ).
cnf(refute_0_351,plain,
( op1(e10,e10) != e13
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e12,e10)) )],[refute_0_350,refute_0_62]) ).
cnf(refute_0_352,plain,
( e13 != e13
| h1(e11) = e23
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_259,refute_0_351]) ).
cnf(refute_0_353,plain,
( h1(e11) = e23
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_101,refute_0_352]) ).
cnf(refute_0_354,plain,
( e10 != op1(e12,e13)
| op1(e12,e10) != e10
| op1(e12,e10) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_0_355,plain,
( e10 != op1(e12,e13)
| h1(e11) = e23
| op1(e12,e10) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
( e10 != op1(e12,e13)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e13)) )],[refute_0_355,refute_0_336]) ).
cnf(refute_0_357,plain,
( e12 != op1(e12,e13)
| op1(e11,e13) != e12
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e12) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_0_358,plain,
( e12 != op1(e12,e13)
| h1(e11) = e23
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_0_261,refute_0_357]) ).
cnf(refute_0_359,plain,
( e12 != op1(e12,e13)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_0_358,refute_0_73]) ).
cnf(refute_0_360,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_0_81]) ).
cnf(refute_0_361,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_0_82]) ).
cnf(refute_0_362,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_0_363,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_26,refute_0_362]) ).
cnf(refute_0_364,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_0_363,refute_0_361]) ).
cnf(refute_0_365,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_0_360,refute_0_364]) ).
cnf(refute_0_366,plain,
( e12 != e12
| op1(e12,e13) != e12
| e12 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_0_367,plain,
( e12 != e12
| e12 = op1(e12,e13)
| op1(e12,e13) = e10
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
( e12 != e12
| h1(e11) = e23
| op1(e12,e13) = e10
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_0_367,refute_0_359]) ).
cnf(refute_0_369,plain,
( h1(e11) = e23
| op1(e12,e13) = e10
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_295,refute_0_368]) ).
cnf(refute_0_370,plain,
( e10 != e10
| op1(e12,e13) != e10
| e10 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_0_371,plain,
( e10 != e10
| e10 = op1(e12,e13)
| h1(e11) = e23
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
( e10 != e10
| h1(e11) = e23
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e10,op1(e12,e13)) )],[refute_0_371,refute_0_356]) ).
cnf(refute_0_373,plain,
( h1(e11) = e23
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_0_55,refute_0_372]) ).
cnf(refute_0_374,plain,
( e13 != op1(e11,e12)
| op1(e12,e13) != e13
| op1(e12,e13) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e13) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_0_375,plain,
( e13 != op1(e11,e12)
| h1(e11) = e23
| op1(e12,e13) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
( e13 != op1(e11,e12)
| ~ definitionFOFtoCNF_0
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e11,e12)) )],[refute_0_375,refute_0_335]) ).
cnf(refute_0_377,plain,
( e13 != e13
| op1(e11,e12) != e13
| e13 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e11,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_0_378,plain,
( e13 != e13
| e13 = op1(e11,e12)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_0_265,refute_0_377]) ).
cnf(refute_0_379,plain,
( e13 != e13
| ~ definitionFOFtoCNF_0
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(e13,op1(e11,e12)) )],[refute_0_378,refute_0_376]) ).
cnf(refute_0_380,plain,
( ~ definitionFOFtoCNF_0
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_101,refute_0_379]) ).
cnf(refute_0_381,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_0_83]) ).
cnf(refute_0_382,plain,
op2(h1(e11),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e11),op2(e20,e20)))]]) ).
cnf(refute_0_383,plain,
( op2(e20,e20) != h1(e11)
| op2(h1(e11),op2(e20,e20)) != op2(h1(e11),op2(e20,e20))
| op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_0_384,plain,
( op2(e20,e20) != h1(e11)
| op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_16,refute_0_384]) ).
cnf(refute_0_386,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_0_387,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_0_388,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_16,refute_0_388]) ).
cnf(refute_0_390,plain,
( op2(h1(e11),op2(e20,e20)) != op2(h1(e11),h1(e11))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e11),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(subst,[],[refute_0_43:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e11),op2(e20,e20)))),bind(Z,$fot(op2(h1(e11),h1(e11))))]]) ).
cnf(refute_0_391,plain,
( op2(h1(e11),op2(e20,e20)) != op2(h1(e11),h1(e11))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),h1(e11))) )],[refute_0_385,refute_0_391]) ).
cnf(refute_0_393,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),h1(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e11),h1(e11))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_0_394,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| h1(e10) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e11),h1(e11))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
h1(e10) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_0_381,refute_0_394]) ).
cnf(refute_0_396,plain,
( op1(e12,op1(e12,e12)) != op1(e12,e12)
| ~ definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_0_86]) ).
cnf(refute_0_397,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_0_87]) ).
cnf(refute_0_398,plain,
( e13 != op1(e12,e12)
| op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e13) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_0_399,plain,
( e13 != op1(e12,e12)
| h1(e11) = e23
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_0_265,refute_0_398]) ).
cnf(refute_0_400,plain,
( e13 != op1(e12,e12)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_0_399,refute_0_397]) ).
cnf(refute_0_401,plain,
( e13 != e13
| h1(e11) = e23
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_259,refute_0_301]) ).
cnf(refute_0_402,plain,
( h1(e11) = e23
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_101,refute_0_401]) ).
cnf(refute_0_403,plain,
( e11 != op1(e12,e12)
| op1(e10,e12) != e11
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_0_404,plain,
( e11 != op1(e12,e12)
| h1(e11) = e23
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
( e11 != op1(e12,e12)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_0_404,refute_0_271]) ).
cnf(refute_0_406,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(canonicalize,[],[normalize_0_88]) ).
cnf(refute_0_407,plain,
( op1(e12,e12) != e10
| op1(e12,e10) = e12 ),
inference(canonicalize,[],[normalize_0_89]) ).
cnf(refute_0_408,plain,
op1(e12,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_0_407,refute_0_341]) ).
cnf(refute_0_409,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_0_406,refute_0_408]) ).
cnf(refute_0_410,plain,
( e11 != e11
| op1(e12,e12) != e11
| e11 = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_0_411,plain,
( e11 != e11
| e11 = op1(e12,e12)
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
( e11 != e11
| h1(e11) = e23
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(e11,op1(e12,e12)) )],[refute_0_411,refute_0_405]) ).
cnf(refute_0_413,plain,
( h1(e11) = e23
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_92,refute_0_412]) ).
cnf(refute_0_414,plain,
( e13 != e13
| op1(e12,e12) != e13
| e13 = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_0_415,plain,
( e13 != e13
| e13 = op1(e12,e12)
| h1(e11) = e23
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
( e13 != e13
| h1(e11) = e23
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_0_415,refute_0_400]) ).
cnf(refute_0_417,plain,
( h1(e11) = e23
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_101,refute_0_416]) ).
cnf(refute_0_418,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != op1(e12,e12)
| op1(e12,op1(e12,e12)) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,op1(e12,e12)),op1(e12,e12)) ),[0,1],$fot(e12)]]) ).
cnf(refute_0_419,plain,
( op1(e12,e12) != op1(e12,e12)
| h1(e11) = e23
| op1(e12,op1(e12,e12)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
( op1(e12,e12) != op1(e12,e12)
| ~ definitionFOFtoCNF_2
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e12)) )],[refute_0_419,refute_0_396]) ).
cnf(refute_0_421,plain,
op1(e12,e12) = op1(e12,e12),
introduced(tautology,[refl,[$fot(op1(e12,e12))]]) ).
cnf(refute_0_422,plain,
( ~ definitionFOFtoCNF_2
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e12)) )],[refute_0_421,refute_0_420]) ).
cnf(refute_0_423,plain,
( op1(e12,op1(e13,e12)) != op1(e13,e12)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_0_94]) ).
cnf(refute_0_424,plain,
op1(e12,op1(e13,e12)) = op1(e12,op1(e13,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e13,e12)))]]) ).
cnf(refute_0_425,plain,
( op1(e12,op1(e13,e12)) != op1(e12,op1(e13,e12))
| op1(e13,e12) != e10
| op1(e12,op1(e13,e12)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e13,e12)),op1(e12,op1(e13,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_0_426,plain,
( op1(e13,e12) != e10
| op1(e12,op1(e13,e12)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e12)),op1(e12,op1(e13,e12))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
op1(e12,op1(e13,e12)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_287,refute_0_426]) ).
cnf(refute_0_428,plain,
( op1(e12,e10) != op1(e13,e12)
| op1(e12,op1(e13,e12)) != op1(e12,e10)
| op1(e12,op1(e13,e12)) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e13,e12)),op1(e12,e10)) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_0_429,plain,
( op1(e12,e10) != op1(e13,e12)
| op1(e12,op1(e13,e12)) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e12)),op1(e12,e10)) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
( op1(e12,e10) != e10
| op1(e13,e12) != e10
| op1(e12,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_0_431,plain,
( op1(e12,e10) != e10
| op1(e12,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_287,refute_0_430]) ).
cnf(refute_0_432,plain,
( op1(e12,e10) != e10
| op1(e12,op1(e13,e12)) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e13,e12)) )],[refute_0_431,refute_0_429]) ).
cnf(refute_0_433,plain,
( op1(e12,e10) != e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e12)),op1(e13,e12)) )],[refute_0_432,refute_0_423]) ).
cnf(refute_0_434,plain,
( e10 != e10
| op1(e12,e10) != e10
| op1(e12,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[0,1],$fot(e10)]]) ).
cnf(refute_0_435,plain,
( e10 != e10
| op1(e10,e10) = e10
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_0_169,refute_0_434]) ).
cnf(refute_0_436,plain,
( e10 != e10
| op1(e10,e10) = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_0_435,refute_0_433]) ).
cnf(refute_0_437,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_0_55,refute_0_436]) ).
cnf(refute_0_438,plain,
( h4(e10) != h1(e11)
| h4(op1(e10,e10)) = h1(e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_437,refute_0_181]) ).
cnf(refute_0_439,plain,
( h4(e10) != h1(e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_0_438,refute_0_143]) ).
cnf(refute_0_440,plain,
( e20 != h1(e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_0_185,refute_0_439]) ).
cnf(refute_0_441,plain,
( e20 != e20
| h1(e11) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_0_254,refute_0_440]) ).
cnf(refute_0_442,plain,
( h1(e11) = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_256,refute_0_441]) ).
cnf(refute_0_443,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e23
| h1(e10) = op2(h1(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_444,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),e23)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
( h1(e10) = op2(h1(e11),e23)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_0_395,refute_0_444]) ).
cnf(refute_0_446,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e23
| h1(e10) = op2(e23,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_447,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(e23,h1(e11))
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_252,refute_0_446]) ).
cnf(refute_0_448,plain,
( h1(e10) = op2(e23,h1(e11))
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_0_395,refute_0_447]) ).
cnf(refute_0_449,plain,
( h1(e10) != op2(e23,h1(e11))
| h1(e11) != e23
| h1(e10) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e23,h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_450,plain,
( h1(e10) != op2(e23,h1(e11))
| h1(e10) = op2(e23,e23)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_252,refute_0_449]) ).
cnf(refute_0_451,plain,
( h1(e10) = op2(e23,e23)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,h1(e11))) )],[refute_0_448,refute_0_450]) ).
cnf(refute_0_452,plain,
( h1(e10) != op2(e23,e23)
| op2(e23,e23) != e21
| h1(e10) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_0_453,plain,
( h1(e10) != op2(e23,e23)
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_7,refute_0_452]) ).
cnf(refute_0_454,plain,
( h1(e10) = e21
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,e23)) )],[refute_0_451,refute_0_453]) ).
cnf(refute_0_455,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e20
| h1(e10) = op2(h1(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_456,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = e21
| h1(e10) = op2(h1(e11),e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
( h1(e10) = e21
| h1(e10) = op2(h1(e11),e20) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_0_395,refute_0_456]) ).
cnf(refute_0_458,plain,
( h1(e10) != op2(h1(e11),e20)
| h1(e11) != e23
| h1(e10) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),e20)) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_459,plain,
( h1(e10) != op2(h1(e11),e20)
| h1(e10) = op2(e23,e20)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_442,refute_0_458]) ).
cnf(refute_0_460,plain,
( h1(e10) = e21
| h1(e10) = op2(e23,e20)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e20)) )],[refute_0_457,refute_0_459]) ).
cnf(refute_0_461,plain,
( h1(e10) != op2(e23,e20)
| op2(e23,e20) != e22
| h1(e10) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e22) ),[0],$fot(op2(e23,e20))]]) ).
cnf(refute_0_462,plain,
( h1(e10) != op2(e23,e20)
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_0_212,refute_0_461]) ).
cnf(refute_0_463,plain,
( h1(e10) = e21
| h1(e10) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,e20)) )],[refute_0_460,refute_0_462]) ).
cnf(refute_0_464,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e20
| h1(e10) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_465,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(e20,h1(e11))
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_252,refute_0_464]) ).
cnf(refute_0_466,plain,
( h1(e10) = op2(e20,h1(e11))
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_0_395,refute_0_465]) ).
cnf(refute_0_467,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e11) != e20
| h1(e10) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_468,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = op2(e20,e20)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_252,refute_0_467]) ).
cnf(refute_0_469,plain,
( h1(e10) = op2(e20,e20)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_0_466,refute_0_468]) ).
cnf(refute_0_470,plain,
( h1(e10) != op2(e20,e20)
| op2(e20,e20) != h1(e11)
| h1(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h1(e11)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_0_471,plain,
( h1(e10) != op2(e20,e20)
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_16,refute_0_470]) ).
cnf(refute_0_472,plain,
( h1(e10) = h1(e11)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e20)) )],[refute_0_469,refute_0_471]) ).
cnf(refute_0_473,plain,
( h1(e11) != e20
| h1(e11) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[0],$fot(e20)]]) ).
cnf(refute_0_474,plain,
( h1(e11) != e23
| e20 = e23
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_454,refute_0_473]) ).
cnf(refute_0_475,plain,
( e20 = e23
| h1(e10) = e21
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_472,refute_0_474]) ).
cnf(refute_0_476,plain,
e20 != e23,
inference(canonicalize,[],[normalize_0_95]) ).
cnf(refute_0_477,plain,
( h1(e10) = e21
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
( h1(e10) != h1(e11)
| h1(e11) = h1(e10) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_0_479,plain,
( h1(e10) = e21
| h1(e11) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e11)) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
( h1(e10) != e22
| h1(e11) != h1(e10)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),h1(e10)) ),[1],$fot(e22)]]) ).
cnf(refute_0_481,plain,
( h1(e10) != e22
| h1(e10) = e21
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
( h1(e10) != e22
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_0_481,refute_0_216]) ).
cnf(refute_0_483,plain,
( h1(e10) != e21
| h1(e10) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e21) ),[0],$fot(e22)]]) ).
cnf(refute_0_484,plain,
( h1(e10) != e22
| e22 = e21 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_96]) ).
cnf(refute_0_486,plain,
( e22 != op2(e23,e23)
| op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_0_487,plain,
( e22 != op2(e23,e23)
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_0_212,refute_0_486]) ).
cnf(refute_0_488,plain,
( e22 != e21
| op2(e23,e23) != e21
| e22 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_0_489,plain,
( e22 != e21
| e22 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_7,refute_0_488]) ).
cnf(refute_0_490,plain,
( e22 != e21
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_0_489,refute_0_487]) ).
cnf(refute_0_491,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_0_490,refute_0_485]) ).
cnf(refute_0_492,plain,
h1(e10) != e22,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_0_484,refute_0_491]) ).
cnf(refute_0_493,plain,
( h1(e10) = e21
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_0_463,refute_0_492]) ).
cnf(refute_0_494,plain,
( h1(e10) != e21
| h1(e10) != op2(h1(e11),e23)
| e21 = op2(h1(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),e23)) ),[0],$fot(e21)]]) ).
cnf(refute_0_495,plain,
( h1(e10) != op2(h1(e11),e23)
| e21 = op2(h1(e11),e23)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
( e21 = op2(h1(e11),e23)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e23)) )],[refute_0_445,refute_0_495]) ).
cnf(refute_0_497,plain,
( h2(e12) != e22
| ~ definitionFOFtoCNF_9 ),
inference(canonicalize,[],[normalize_0_99]) ).
cnf(refute_0_498,plain,
h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21))),
inference(canonicalize,[],[normalize_0_100]) ).
cnf(refute_0_499,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_0_101]) ).
cnf(refute_0_500,plain,
( h2(e10) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = h2(e10) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(op2(e21,e21),op2(e21,e21))))]]) ).
cnf(refute_0_501,plain,
op2(op2(e21,e21),op2(e21,e21)) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),op2(e21,e21))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
op2(e21,op2(op2(e21,e21),op2(e21,e21))) = op2(e21,op2(op2(e21,e21),op2(e21,e21))),
introduced(tautology,[refl,[$fot(op2(e21,op2(op2(e21,e21),op2(e21,e21))))]]) ).
cnf(refute_0_503,plain,
( op2(e21,op2(op2(e21,e21),op2(e21,e21))) != op2(e21,op2(op2(e21,e21),op2(e21,e21)))
| op2(op2(e21,e21),op2(e21,e21)) != h2(e10)
| op2(e21,op2(op2(e21,e21),op2(e21,e21))) = op2(e21,h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(op2(e21,e21),op2(e21,e21))),op2(e21,op2(op2(e21,e21),op2(e21,e21)))) ),[1,1],$fot(h2(e10))]]) ).
cnf(refute_0_504,plain,
( op2(op2(e21,e21),op2(e21,e21)) != h2(e10)
| op2(e21,op2(op2(e21,e21),op2(e21,e21))) = op2(e21,h2(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(op2(e21,e21),op2(e21,e21))),op2(e21,op2(op2(e21,e21),op2(e21,e21)))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
op2(e21,op2(op2(e21,e21),op2(e21,e21))) = op2(e21,h2(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),h2(e10)) )],[refute_0_501,refute_0_504]) ).
cnf(refute_0_506,plain,
( h2(e12) != op2(e21,op2(op2(e21,e21),op2(e21,e21)))
| op2(e21,op2(op2(e21,e21),op2(e21,e21))) != op2(e21,h2(e10))
| h2(e12) = op2(e21,h2(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),op2(e21,h2(e10))) ),[0],$fot(op2(e21,op2(op2(e21,e21),op2(e21,e21))))]]) ).
cnf(refute_0_507,plain,
( h2(e12) != op2(e21,op2(op2(e21,e21),op2(e21,e21)))
| h2(e12) = op2(e21,h2(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(op2(e21,e21),op2(e21,e21))),op2(e21,h2(e10))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
h2(e12) = op2(e21,h2(e10)),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,op2(op2(e21,e21),op2(e21,e21)))) )],[refute_0_498,refute_0_507]) ).
cnf(refute_0_509,plain,
( h2(e11) != e20
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = e20 ),
inference(subst,[],[refute_0_43:[bind(X,$fot(op2(e21,e21))),bind(Y,$fot(h2(e11))),bind(Z,$fot(e20))]]) ).
cnf(refute_0_510,plain,
( h2(e11) != e20
| op2(e21,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_225,refute_0_509]) ).
cnf(refute_0_511,plain,
op2(e21,e21) = e20,
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_0_247,refute_0_510]) ).
cnf(refute_0_512,plain,
op2(e20,op2(e21,e21)) = op2(e20,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e21)))]]) ).
cnf(refute_0_513,plain,
( op2(e20,op2(e21,e21)) != op2(e20,op2(e21,e21))
| op2(e21,e21) != e20
| op2(e20,op2(e21,e21)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,op2(e21,e21))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_514,plain,
( op2(e21,e21) != e20
| op2(e20,op2(e21,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,op2(e21,e21))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
op2(e20,op2(e21,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_0_511,refute_0_514]) ).
cnf(refute_0_516,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_0_517,plain,
( op2(e21,e21) != e20
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(e20,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(e20)]]) ).
cnf(refute_0_518,plain,
( op2(e21,e21) != e20
| op2(op2(e21,e21),op2(e21,e21)) = op2(e20,op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(e20,op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_0_511,refute_0_518]) ).
cnf(refute_0_520,plain,
( op2(e20,op2(e21,e21)) != op2(e20,e20)
| op2(op2(e21,e21),op2(e21,e21)) != op2(e20,op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(e20,e20) ),
inference(subst,[],[refute_0_43:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(e20,op2(e21,e21)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_0_521,plain,
( op2(e20,op2(e21,e21)) != op2(e20,e20)
| op2(op2(e21,e21),op2(e21,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(e20,op2(e21,e21))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,e20)) )],[refute_0_515,refute_0_521]) ).
cnf(refute_0_523,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e21,e21),op2(e21,e21)) != op2(e20,e20)
| op2(op2(e21,e21),op2(e21,e21)) = h1(e11) ),
inference(subst,[],[refute_0_43:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_0_524,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e21,e21),op2(e21,e21)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(e20,e20)) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
op2(op2(e21,e21),op2(e21,e21)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_16,refute_0_524]) ).
cnf(refute_0_526,plain,
( h2(e10) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != h1(e11)
| h2(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h1(e11)) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_0_527,plain,
( h2(e10) != op2(op2(e21,e21),op2(e21,e21))
| h2(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),h1(e11)) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
h2(e10) = h1(e11),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),op2(e21,e21))) )],[refute_0_499,refute_0_527]) ).
cnf(refute_0_529,plain,
op2(e21,h2(e10)) = op2(e21,h2(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h2(e10)))]]) ).
cnf(refute_0_530,plain,
( h2(e10) != h1(e11)
| op2(e21,h2(e10)) != op2(e21,h2(e10))
| op2(e21,h2(e10)) = op2(e21,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e10)),op2(e21,h2(e10))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_0_531,plain,
( h2(e10) != h1(e11)
| op2(e21,h2(e10)) = op2(e21,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e10)),op2(e21,h2(e10))) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
op2(e21,h2(e10)) = op2(e21,h1(e11)),
inference(resolve,[$cnf( $equal(h2(e10),h1(e11)) )],[refute_0_528,refute_0_531]) ).
cnf(refute_0_533,plain,
( h2(e12) != op2(e21,h2(e10))
| op2(e21,h2(e10)) != op2(e21,h1(e11))
| h2(e12) = op2(e21,h1(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),op2(e21,h1(e11))) ),[0],$fot(op2(e21,h2(e10)))]]) ).
cnf(refute_0_534,plain,
( h2(e12) != op2(e21,h2(e10))
| h2(e12) = op2(e21,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e10)),op2(e21,h1(e11))) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
h2(e12) = op2(e21,h1(e11)),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,h2(e10))) )],[refute_0_508,refute_0_534]) ).
cnf(refute_0_536,plain,
( h1(e11) != e23
| h2(e12) != op2(e21,h1(e11))
| h2(e12) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),op2(e21,h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_537,plain,
( h2(e12) != op2(e21,h1(e11))
| h1(e11) = e20
| h2(e12) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_252,refute_0_536]) ).
cnf(refute_0_538,plain,
( h1(e11) = e20
| h2(e12) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,h1(e11))) )],[refute_0_535,refute_0_537]) ).
cnf(refute_0_539,plain,
op2(e21,e22) != op2(e21,e23),
inference(canonicalize,[],[normalize_0_102]) ).
cnf(refute_0_540,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_0_103]) ).
cnf(refute_0_541,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_104]) ).
cnf(refute_0_542,plain,
( op2(e21,e23) != e21
| op2(e23,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_0_543,plain,
( op2(e21,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_7,refute_0_542]) ).
cnf(refute_0_544,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_0_543,refute_0_541]) ).
cnf(refute_0_545,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_0_540,refute_0_544]) ).
cnf(refute_0_546,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_0_105]) ).
cnf(refute_0_547,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_0_548,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_225,refute_0_547]) ).
cnf(refute_0_549,plain,
h2(e11) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_0_548,refute_0_546]) ).
cnf(refute_0_550,plain,
( e20 != op2(e21,e23)
| h2(e11) != e20
| h2(e11) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_0_551,plain,
( e20 != op2(e21,e23)
| h2(e11) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_0_247,refute_0_550]) ).
cnf(refute_0_552,plain,
e20 != op2(e21,e23),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e23)) )],[refute_0_551,refute_0_549]) ).
cnf(refute_0_553,plain,
( op2(e21,e23) != e20
| e20 = op2(e21,e23) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e20))]]) ).
cnf(refute_0_554,plain,
op2(e21,e23) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e23)) )],[refute_0_553,refute_0_552]) ).
cnf(refute_0_555,plain,
( op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_0_545,refute_0_554]) ).
cnf(refute_0_556,plain,
( op2(e21,e22) != e23
| op2(e21,e23) != e23
| op2(e21,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_0_557,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e21,e23)
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
( op2(e21,e22) != e23
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e23)) )],[refute_0_557,refute_0_539]) ).
cnf(refute_0_559,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_0_106]) ).
cnf(refute_0_560,plain,
h3(e11) = op2(e22,e22),
inference(canonicalize,[],[normalize_0_107]) ).
cnf(refute_0_561,plain,
( h3(e11) != op2(e22,e22)
| op2(e22,e22) = h3(e11) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_0_562,plain,
op2(e22,e22) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
( op2(e21,e22) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_0_564,plain,
( op2(e21,e22) != h3(e11)
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
op2(e21,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_0_564,refute_0_559]) ).
cnf(refute_0_566,plain,
( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_0_108]) ).
cnf(refute_0_567,plain,
( h1(e11) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_566,refute_0_189]) ).
cnf(refute_0_568,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e11)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_0_569,plain,
( op2(e21,e21) != e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_225,refute_0_568]) ).
cnf(refute_0_570,plain,
( h1(e11) = e20
| h2(e11) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_0_567,refute_0_569]) ).
cnf(refute_0_571,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_0_572,plain,
( op2(e22,e22) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_562,refute_0_571]) ).
cnf(refute_0_573,plain,
( h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_0_570,refute_0_572]) ).
cnf(refute_0_574,plain,
( e21 = e23
| h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_0_573,refute_0_9]) ).
cnf(refute_0_575,plain,
( h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_0_574,refute_0_11]) ).
cnf(refute_0_576,plain,
( h2(e11) != e20
| h2(e11) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e21) ),[0],$fot(e20)]]) ).
cnf(refute_0_577,plain,
( h2(e11) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_0_247,refute_0_576]) ).
cnf(refute_0_578,plain,
( e20 = e21
| h1(e11) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_0_575,refute_0_577]) ).
cnf(refute_0_579,plain,
e20 != e21,
inference(canonicalize,[],[normalize_0_109]) ).
cnf(refute_0_580,plain,
( h1(e11) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
( h3(e11) != e22
| op2(e21,e22) != e22
| op2(e21,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h3(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_0_582,plain,
( op2(e21,e22) != e22
| h1(e11) = e20
| op2(e21,e22) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
( op2(e21,e22) != e22
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h3(e11)) )],[refute_0_582,refute_0_565]) ).
cnf(refute_0_584,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(canonicalize,[],[normalize_0_110]) ).
cnf(refute_0_585,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_0_586,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_225,refute_0_585]) ).
cnf(refute_0_587,plain,
( h2(e11) = e22
| op2(e21,e20) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_0_584,refute_0_586]) ).
cnf(refute_0_588,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_0_111]) ).
cnf(refute_0_589,plain,
( op2(e21,e20) != e22
| op2(e23,e20) != e22
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_0_590,plain,
( op2(e21,e20) != e22
| op2(e21,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_0_212,refute_0_589]) ).
cnf(refute_0_591,plain,
op2(e21,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_0_590,refute_0_588]) ).
cnf(refute_0_592,plain,
( h2(e11) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_0_587,refute_0_591]) ).
cnf(refute_0_593,plain,
( h2(e11) != e20
| h2(e11) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[0],$fot(e20)]]) ).
cnf(refute_0_594,plain,
( h2(e11) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_0_247,refute_0_593]) ).
cnf(refute_0_595,plain,
( e20 = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_0_592,refute_0_594]) ).
cnf(refute_0_596,plain,
e20 != e22,
inference(canonicalize,[],[normalize_0_112]) ).
cnf(refute_0_597,plain,
( op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_0_113]) ).
cnf(refute_0_599,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_0_600,plain,
( op2(e21,e21) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_225,refute_0_599]) ).
cnf(refute_0_601,plain,
( h2(e11) = e23
| op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_0_598,refute_0_600]) ).
cnf(refute_0_602,plain,
( op2(e21,e21) != e23
| op2(e21,e23) = e21 ),
inference(canonicalize,[],[normalize_0_114]) ).
cnf(refute_0_603,plain,
( h2(e11) != e23
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_0_604,plain,
( h2(e11) != e23
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_0_225,refute_0_603]) ).
cnf(refute_0_605,plain,
( h2(e11) != e23
| op2(e21,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_0_604,refute_0_602]) ).
cnf(refute_0_606,plain,
h2(e11) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_0_605,refute_0_544]) ).
cnf(refute_0_607,plain,
( op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_0_601,refute_0_606]) ).
cnf(refute_0_608,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_0_115]) ).
cnf(refute_0_609,plain,
( h2(e11) != e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_0_510,refute_0_608]) ).
cnf(refute_0_610,plain,
( e20 != e20
| h2(e11) != e20
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(e20)]]) ).
cnf(refute_0_611,plain,
( e20 != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_0_247,refute_0_610]) ).
cnf(refute_0_612,plain,
( e20 != e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_0_611,refute_0_609]) ).
cnf(refute_0_613,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_256,refute_0_612]) ).
cnf(refute_0_614,plain,
( op2(e21,e20) != e21
| op2(e21,e20) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[0],$fot(e21)]]) ).
cnf(refute_0_615,plain,
( op2(e21,e20) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
( e21 = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_0_607,refute_0_615]) ).
cnf(refute_0_617,plain,
( op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_0_616,refute_0_11]) ).
cnf(refute_0_618,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(e23)]]) ).
cnf(refute_0_619,plain,
( op2(e21,e23) != e22
| e23 = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
( e23 = e22
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_0_597,refute_0_619]) ).
cnf(refute_0_621,plain,
e22 != e23,
inference(canonicalize,[],[normalize_0_116]) ).
cnf(refute_0_622,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_0_623,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_0_622,refute_0_621]) ).
cnf(refute_0_624,plain,
( op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_0_620,refute_0_623]) ).
cnf(refute_0_625,plain,
( e22 != e22
| op2(e21,e22) != e22
| op2(e21,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_0_626,plain,
( e22 != e22
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
( e22 != e22
| h1(e11) = e20
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_0_626,refute_0_583]) ).
cnf(refute_0_628,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_0_629,plain,
( h1(e11) = e20
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_0_628,refute_0_627]) ).
cnf(refute_0_630,plain,
( e23 != e23
| op2(e21,e22) != e23
| op2(e21,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_0_631,plain,
( e23 != e23
| h1(e11) = e20
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
( e23 != e23
| h1(e11) = e20
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_0_631,refute_0_558]) ).
cnf(refute_0_633,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_0_634,plain,
( h1(e11) = e20
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_633,refute_0_632]) ).
cnf(refute_0_635,plain,
( h2(e12) != op2(e21,e23)
| op2(e21,e23) != e22
| h2(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),e22) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_0_636,plain,
( h2(e12) != op2(e21,e23)
| h1(e11) = e20
| h2(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
( h1(e11) = e20
| h2(e12) = e22 ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e23)) )],[refute_0_538,refute_0_636]) ).
cnf(refute_0_638,plain,
( e22 != e22
| h2(e12) != e22
| h2(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e22) ),[1],$fot(e22)]]) ).
cnf(refute_0_639,plain,
( e22 != e22
| h1(e11) = e20
| h2(e12) = e22 ),
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
( e22 != e22
| ~ definitionFOFtoCNF_9
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_0_639,refute_0_497]) ).
cnf(refute_0_641,plain,
( ~ definitionFOFtoCNF_9
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_0_628,refute_0_640]) ).
cnf(refute_0_642,plain,
( op2(e22,op2(e22,e22)) != op2(e22,e22)
| ~ definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_0_119]) ).
cnf(refute_0_643,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_0_644,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_0_645,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
op2(e22,op2(e22,e22)) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_562,refute_0_645]) ).
cnf(refute_0_647,plain,
( op2(e22,h3(e11)) != op2(e22,e22)
| op2(e22,op2(e22,e22)) != op2(e22,h3(e11))
| op2(e22,op2(e22,e22)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h3(e11))) ),[1],$fot(op2(e22,e22))]]) ).
cnf(refute_0_648,plain,
( op2(e22,h3(e11)) != op2(e22,e22)
| op2(e22,op2(e22,e22)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h3(e11))) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,h3(e11)) != h3(e11)
| op2(e22,h3(e11)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,h3(e11)),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_0_650,plain,
( op2(e22,h3(e11)) != h3(e11)
| op2(e22,h3(e11)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_562,refute_0_649]) ).
cnf(refute_0_651,plain,
( op2(e22,h3(e11)) != h3(e11)
| op2(e22,op2(e22,e22)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,e22)) )],[refute_0_650,refute_0_648]) ).
cnf(refute_0_652,plain,
( op2(e22,h3(e11)) != h3(e11)
| ~ definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,e22)) )],[refute_0_651,refute_0_642]) ).
cnf(refute_0_653,plain,
( h3(e11) != e22
| op2(e22,e22) != h3(e11)
| op2(e22,h3(e11)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,h3(e11)),h3(e11)) ),[0,1],$fot(e22)]]) ).
cnf(refute_0_654,plain,
( op2(e22,e22) != h3(e11)
| h1(e11) = e20
| op2(e22,h3(e11)) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_0_580,refute_0_653]) ).
cnf(refute_0_655,plain,
( op2(e22,e22) != h3(e11)
| ~ definitionFOFtoCNF_5
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),h3(e11)) )],[refute_0_654,refute_0_652]) ).
cnf(refute_0_656,plain,
( h3(e11) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_0_657,plain,
( h3(e11) != h3(e11)
| op2(e22,e22) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_562,refute_0_656]) ).
cnf(refute_0_658,plain,
( h3(e11) != h3(e11)
| ~ definitionFOFtoCNF_5
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_657,refute_0_655]) ).
cnf(refute_0_659,plain,
h3(e11) = h3(e11),
introduced(tautology,[refl,[$fot(h3(e11))]]) ).
cnf(refute_0_660,plain,
( ~ definitionFOFtoCNF_5
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),h3(e11)) )],[refute_0_659,refute_0_658]) ).
cnf(refute_0_661,plain,
( op2(e22,op2(e23,e22)) != op2(e23,e22)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_0_124]) ).
cnf(refute_0_662,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_0_125]) ).
cnf(refute_0_663,plain,
( op2(e23,e20) != e20
| op2(e23,e20) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e20) ),[0],$fot(e22)]]) ).
cnf(refute_0_664,plain,
( op2(e23,e20) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_0_212,refute_0_663]) ).
cnf(refute_0_665,plain,
( e22 = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_0_662,refute_0_664]) ).
cnf(refute_0_666,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_0_126]) ).
cnf(refute_0_667,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_0_668,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_7,refute_0_667]) ).
cnf(refute_0_669,plain,
( e21 != e21
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_668,refute_0_666]) ).
cnf(refute_0_670,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_0_671,plain,
op2(e23,e21) = e23,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_670,refute_0_669]) ).
cnf(refute_0_672,plain,
( op2(e23,e21) != e20
| op2(e23,e21) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e20) ),[0],$fot(e23)]]) ).
cnf(refute_0_673,plain,
( op2(e23,e21) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
( e22 = e20
| e23 = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_0_665,refute_0_673]) ).
cnf(refute_0_675,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e21)]]) ).
cnf(refute_0_676,plain,
( op2(e23,e23) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_7,refute_0_675]) ).
cnf(refute_0_677,plain,
( e21 = e20
| e22 = e20
| e23 = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_0_674,refute_0_676]) ).
cnf(refute_0_678,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_0_679,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_0_678,refute_0_579]) ).
cnf(refute_0_680,plain,
( e22 = e20
| e23 = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_0_677,refute_0_679]) ).
cnf(refute_0_681,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_0_682,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_0_681,refute_0_596]) ).
cnf(refute_0_683,plain,
( e23 = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_0_680,refute_0_682]) ).
cnf(refute_0_684,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_0_685,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_0_684,refute_0_476]) ).
cnf(refute_0_686,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_0_683,refute_0_685]) ).
cnf(refute_0_687,plain,
op2(e22,op2(e23,e22)) = op2(e22,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e22)))]]) ).
cnf(refute_0_688,plain,
( op2(e22,op2(e23,e22)) != op2(e22,op2(e23,e22))
| op2(e23,e22) != e20
| op2(e22,op2(e23,e22)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e22)),op2(e22,op2(e23,e22))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_689,plain,
( op2(e23,e22) != e20
| op2(e22,op2(e23,e22)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e22)),op2(e22,op2(e23,e22))) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
op2(e22,op2(e23,e22)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_0_686,refute_0_689]) ).
cnf(refute_0_691,plain,
( op2(e22,e20) != op2(e23,e22)
| op2(e22,op2(e23,e22)) != op2(e22,e20)
| op2(e22,op2(e23,e22)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e22)),op2(e22,e20)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_0_692,plain,
( op2(e22,e20) != op2(e23,e22)
| op2(e22,op2(e23,e22)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e22)),op2(e22,e20)) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
( op2(e22,e20) != e20
| op2(e23,e22) != e20
| op2(e22,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_0_694,plain,
( op2(e22,e20) != e20
| op2(e22,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_0_686,refute_0_693]) ).
cnf(refute_0_695,plain,
( op2(e22,e20) != e20
| op2(e22,op2(e23,e22)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e23,e22)) )],[refute_0_694,refute_0_692]) ).
cnf(refute_0_696,plain,
( op2(e22,e20) != e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e22)),op2(e23,e22)) )],[refute_0_695,refute_0_661]) ).
cnf(refute_0_697,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(canonicalize,[],[normalize_0_127]) ).
cnf(refute_0_698,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_697,refute_0_189]) ).
cnf(refute_0_699,plain,
( e22 = e20
| h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_0_698,refute_0_664]) ).
cnf(refute_0_700,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_0_699,refute_0_682]) ).
cnf(refute_0_701,plain,
( op2(e21,e20) != e20
| op2(e21,e20) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[0],$fot(e21)]]) ).
cnf(refute_0_702,plain,
( op2(e21,e20) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_0_613,refute_0_701]) ).
cnf(refute_0_703,plain,
( e21 = e20
| h1(e11) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_0_700,refute_0_702]) ).
cnf(refute_0_704,plain,
( h1(e11) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_0_703,refute_0_679]) ).
cnf(refute_0_705,plain,
( e20 != e20
| op2(e22,e20) != e20
| op2(e22,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_0_706,plain,
( e20 != e20
| h1(e11) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
( e20 != e20
| h1(e11) = e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_0_706,refute_0_696]) ).
cnf(refute_0_708,plain,
( h1(e11) = e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_256,refute_0_707]) ).
cnf(refute_0_709,plain,
( h1(e11) != e23
| e20 = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_708,refute_0_473]) ).
cnf(refute_0_710,plain,
( e20 = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_442,refute_0_709]) ).
cnf(refute_0_711,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_0_710,refute_0_476]) ).
cnf(refute_0_712,plain,
( h1(e11) = e20
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_0_711,refute_0_660]) ).
cnf(refute_0_713,plain,
( h1(e11) != e23
| e20 = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_712,refute_0_473]) ).
cnf(refute_0_714,plain,
( e20 = e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_442,refute_0_713]) ).
cnf(refute_0_715,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_0_714,refute_0_476]) ).
cnf(refute_0_716,plain,
( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_9 ),
inference(canonicalize,[],[normalize_0_128]) ).
cnf(refute_0_717,plain,
( h2(e10) != e22
| h2(e10) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_0_718,plain,
( h2(e10) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),h1(e11)) )],[refute_0_528,refute_0_717]) ).
cnf(refute_0_719,plain,
( h1(e11) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_0_716,refute_0_718]) ).
cnf(refute_0_720,plain,
( e20 = e22
| h1(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_0_719,refute_0_594]) ).
cnf(refute_0_721,plain,
h2(e13) = e21,
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_722,plain,
( h2(e13) != e21
| h2(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_0_723,plain,
( h2(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_0_721,refute_0_722]) ).
cnf(refute_0_724,plain,
( e20 = e22
| e21 = e22
| h1(e11) = e22
| h2(e12) = e22
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_0_720,refute_0_723]) ).
cnf(refute_0_725,plain,
( e21 = e22
| h1(e11) = e22
| h2(e12) = e22
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_0_724,refute_0_596]) ).
cnf(refute_0_726,plain,
( e21 != e22
| e22 = e21 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e21)),bind(Y,$fot(e22))]]) ).
cnf(refute_0_727,plain,
e21 != e22,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_0_726,refute_0_491]) ).
cnf(refute_0_728,plain,
( h1(e11) = e22
| h2(e12) = e22
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_0_725,refute_0_727]) ).
cnf(refute_0_729,plain,
( h2(e12) = e22
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_0_728,refute_0_216]) ).
cnf(refute_0_730,plain,
( h1(e11) != e20
| h2(e12) != op2(e21,h1(e11))
| h2(e12) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),op2(e21,h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_731,plain,
( h2(e12) != op2(e21,h1(e11))
| h1(e11) = e23
| h2(e12) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_252,refute_0_730]) ).
cnf(refute_0_732,plain,
( h1(e11) = e23
| h2(e12) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,h1(e11))) )],[refute_0_535,refute_0_731]) ).
cnf(refute_0_733,plain,
( h2(e12) != op2(e21,e20)
| op2(e21,e20) != e21
| h2(e12) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),e21) ),[0],$fot(op2(e21,e20))]]) ).
cnf(refute_0_734,plain,
( h2(e12) != op2(e21,e20)
| h2(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_0_613,refute_0_733]) ).
cnf(refute_0_735,plain,
( h1(e11) = e23
| h2(e12) = e21 ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e20)) )],[refute_0_732,refute_0_734]) ).
cnf(refute_0_736,plain,
( h2(e12) != e21
| h2(e12) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e22) ),[0],$fot(e21)]]) ).
cnf(refute_0_737,plain,
( h2(e12) != e22
| e21 = e22
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e12),e21) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
( e21 = e22
| h1(e11) = e23
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_0_729,refute_0_737]) ).
cnf(refute_0_739,plain,
( h1(e11) = e23
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_0_738,refute_0_727]) ).
cnf(refute_0_740,plain,
( h2(e12) != op2(e21,h1(e11))
| h2(e12) = op2(e21,e23)
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_739,refute_0_536]) ).
cnf(refute_0_741,plain,
( h2(e12) = op2(e21,e23)
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,h1(e11))) )],[refute_0_535,refute_0_740]) ).
cnf(refute_0_742,plain,
( h2(e12) != e22
| h2(e12) != op2(e21,e23)
| e22 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),op2(e21,e23)) ),[0],$fot(e22)]]) ).
cnf(refute_0_743,plain,
( h2(e12) != op2(e21,e23)
| e22 = op2(e21,e23)
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_0_729,refute_0_742]) ).
cnf(refute_0_744,plain,
( e22 = op2(e21,e23)
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e23)) )],[refute_0_741,refute_0_743]) ).
cnf(refute_0_745,plain,
( e22 != op2(e21,e23)
| op2(e21,e23) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,e23) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_0_746,plain,
( e22 != op2(e21,e23)
| e22 = e23
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_0_617,refute_0_745]) ).
cnf(refute_0_747,plain,
( e22 = e23
| op2(e21,e22) = e23
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_0_744,refute_0_746]) ).
cnf(refute_0_748,plain,
( op2(e21,e22) = e23
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_0_747,refute_0_621]) ).
cnf(refute_0_749,plain,
( op2(e21,e22) != e23
| op2(e22,op2(e21,e22)) != e23
| op2(e22,op2(e21,e22)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e21,e22)),op2(e21,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_0_750,plain,
( op2(e22,op2(e21,e22)) != e23
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
( op2(e22,op2(e21,e22)) != e23
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e21,e22)) )],[refute_0_750,refute_0_0]) ).
cnf(refute_0_752,plain,
( op2(e20,op2(e20,e20)) != op2(e20,e20)
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_0_130]) ).
cnf(refute_0_753,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_0_754,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_0_755,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_16,refute_0_755]) ).
cnf(refute_0_757,plain,
( op2(e20,h1(e11)) != op2(e20,e20)
| op2(e20,op2(e20,e20)) != op2(e20,h1(e11))
| op2(e20,op2(e20,e20)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e11))) ),[1],$fot(op2(e20,e20))]]) ).
cnf(refute_0_758,plain,
( op2(e20,h1(e11)) != op2(e20,e20)
| op2(e20,op2(e20,e20)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e11))) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,h1(e11)) != h1(e11)
| op2(e20,h1(e11)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e11)),op2(e20,e20)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_0_760,plain,
( op2(e20,h1(e11)) != h1(e11)
| op2(e20,h1(e11)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_16,refute_0_759]) ).
cnf(refute_0_761,plain,
( op2(e20,h1(e11)) != h1(e11)
| op2(e20,op2(e20,e20)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,e20)) )],[refute_0_760,refute_0_758]) ).
cnf(refute_0_762,plain,
( op2(e20,h1(e11)) != h1(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,e20)) )],[refute_0_761,refute_0_752]) ).
cnf(refute_0_763,plain,
( h1(e11) != e20
| op2(e20,e20) != h1(e11)
| op2(e20,h1(e11)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e11)),h1(e11)) ),[0,1],$fot(e20)]]) ).
cnf(refute_0_764,plain,
( op2(e20,e20) != h1(e11)
| h1(e11) = e23
| op2(e20,h1(e11)) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_252,refute_0_763]) ).
cnf(refute_0_765,plain,
( op2(e20,e20) != h1(e11)
| h1(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),h1(e11)) )],[refute_0_764,refute_0_762]) ).
cnf(refute_0_766,plain,
( h1(e11) != h1(e11)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_0_767,plain,
( h1(e11) != h1(e11)
| op2(e20,e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_16,refute_0_766]) ).
cnf(refute_0_768,plain,
( h1(e11) != h1(e11)
| h1(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_767,refute_0_765]) ).
cnf(refute_0_769,plain,
h1(e11) = h1(e11),
introduced(tautology,[refl,[$fot(h1(e11))]]) ).
cnf(refute_0_770,plain,
( h1(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e11)) )],[refute_0_769,refute_0_768]) ).
cnf(refute_0_771,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_770,refute_0_443]) ).
cnf(refute_0_772,plain,
( h1(e10) = op2(h1(e11),e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_0_395,refute_0_771]) ).
cnf(refute_0_773,plain,
( e20 = e23
| h1(e10) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_770,refute_0_474]) ).
cnf(refute_0_774,plain,
( h1(e10) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_0_773,refute_0_476]) ).
cnf(refute_0_775,plain,
( h1(e10) != op2(h1(e11),e23)
| e21 = op2(h1(e11),e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_0_774,refute_0_494]) ).
cnf(refute_0_776,plain,
( e21 = op2(h1(e11),e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e23)) )],[refute_0_772,refute_0_775]) ).
cnf(refute_0_777,plain,
( op2(e22,op2(e20,e22)) != op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_0_131]) ).
cnf(refute_0_778,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_0_132]) ).
cnf(refute_0_779,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_0_780,plain,
( op2(e22,e22) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_0_562,refute_0_779]) ).
cnf(refute_0_781,plain,
( h3(e11) = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_0_778,refute_0_780]) ).
cnf(refute_0_782,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_133]) ).
cnf(refute_0_783,plain,
( op2(e23,e22) != e21
| op2(e23,e23) != e21
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_0_784,plain,
( op2(e23,e22) != e21
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_7,refute_0_783]) ).
cnf(refute_0_785,plain,
op2(e23,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_0_784,refute_0_782]) ).
cnf(refute_0_786,plain,
( h3(e11) = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_0_781,refute_0_785]) ).
cnf(refute_0_787,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_0_134]) ).
cnf(refute_0_788,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_0_789,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_0_613,refute_0_788]) ).
cnf(refute_0_790,plain,
e21 != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_0_789,refute_0_787]) ).
cnf(refute_0_791,plain,
( op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op2(e21,e22))),bind(Y,$fot(e21))]]) ).
cnf(refute_0_792,plain,
op2(e21,e22) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_0_791,refute_0_790]) ).
cnf(refute_0_793,plain,
( h3(e11) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_0_786,refute_0_792]) ).
cnf(refute_0_794,plain,
( op2(e20,e22) != e21
| op2(e22,op2(e20,e22)) != e21
| op2(e22,op2(e20,e22)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e20,e22)),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_0_795,plain,
( op2(e22,op2(e20,e22)) != e21
| h3(e11) = e21
| op2(e22,op2(e20,e22)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
( op2(e22,op2(e20,e22)) != e21
| h3(e11) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e22)),op2(e20,e22)) )],[refute_0_795,refute_0_777]) ).
cnf(refute_0_797,plain,
( op2(e20,e22) != e21
| op2(e22,e21) != e21
| op2(e22,op2(e20,e22)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e20,e22)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_0_798,plain,
( op2(e22,e21) != e21
| h3(e11) = e21
| op2(e22,op2(e20,e22)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_0_793,refute_0_797]) ).
cnf(refute_0_799,plain,
( op2(e22,e21) != e21
| h3(e11) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e22)),e21) )],[refute_0_798,refute_0_796]) ).
cnf(refute_0_800,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(canonicalize,[],[normalize_0_135]) ).
cnf(refute_0_801,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_0_800,refute_0_780]) ).
cnf(refute_0_802,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_136]) ).
cnf(refute_0_803,plain,
( op2(e22,e23) != e21
| op2(e23,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_0_804,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_7,refute_0_803]) ).
cnf(refute_0_805,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_0_804,refute_0_802]) ).
cnf(refute_0_806,plain,
( h3(e11) = e21
| op2(e22,e20) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_0_801,refute_0_805]) ).
cnf(refute_0_807,plain,
op2(e21,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_0_137]) ).
cnf(refute_0_808,plain,
( e21 != op2(e22,e20)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_0_809,plain,
( e21 != op2(e22,e20)
| op2(e21,e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_0_613,refute_0_808]) ).
cnf(refute_0_810,plain,
e21 != op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e22,e20)) )],[refute_0_809,refute_0_807]) ).
cnf(refute_0_811,plain,
( op2(e22,e20) != e21
| e21 = op2(e22,e20) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op2(e22,e20))),bind(Y,$fot(e21))]]) ).
cnf(refute_0_812,plain,
op2(e22,e20) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e20)) )],[refute_0_811,refute_0_810]) ).
cnf(refute_0_813,plain,
( h3(e11) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_0_806,refute_0_812]) ).
cnf(refute_0_814,plain,
( e21 != e21
| op2(e22,e21) != e21
| op2(e22,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_0_815,plain,
( e21 != e21
| h3(e11) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
( e21 != e21
| h3(e11) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_0_815,refute_0_799]) ).
cnf(refute_0_817,plain,
( h3(e11) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_670,refute_0_816]) ).
cnf(refute_0_818,plain,
( h3(e11) != e21
| h3(e11) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[0],$fot(e21)]]) ).
cnf(refute_0_819,plain,
( h3(e11) != e22
| e21 = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_817,refute_0_818]) ).
cnf(refute_0_820,plain,
( e21 = e22
| h1(e11) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_0_580,refute_0_819]) ).
cnf(refute_0_821,plain,
( h1(e11) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_0_820,refute_0_727]) ).
cnf(refute_0_822,plain,
( e21 != op2(h1(e11),e23)
| h1(e11) != e20
| e21 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(h1(e11),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_823,plain,
( e21 != op2(h1(e11),e23)
| e21 = op2(e20,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_821,refute_0_822]) ).
cnf(refute_0_824,plain,
( e21 = op2(e20,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,op2(h1(e11),e23)) )],[refute_0_776,refute_0_823]) ).
cnf(refute_0_825,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_138]) ).
cnf(refute_0_826,plain,
( op2(e20,e23) != e21
| op2(e23,e23) != e21
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_0_827,plain,
( op2(e20,e23) != e21
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_7,refute_0_826]) ).
cnf(refute_0_828,plain,
op2(e20,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_0_827,refute_0_825]) ).
cnf(refute_0_829,plain,
( e21 != op2(e20,e23)
| op2(e20,e23) = e21 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_0_830,plain,
e21 != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_0_829,refute_0_828]) ).
cnf(refute_0_831,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_0_824,refute_0_830]) ).
cnf(refute_0_832,plain,
( op2(e22,op2(e21,e22)) != e23
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_0_831,refute_0_751]) ).
cnf(refute_0_833,plain,
( op2(e21,e22) != e23
| op2(e22,e23) != e23
| op2(e22,op2(e21,e22)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e21,e22)),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_0_834,plain,
( op2(e22,e23) != e23
| op2(e22,op2(e21,e22)) = e23
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_0_748,refute_0_833]) ).
cnf(refute_0_835,plain,
( op2(e22,e23) != e23
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),e23) )],[refute_0_834,refute_0_832]) ).
cnf(refute_0_836,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_0_139]) ).
cnf(refute_0_837,plain,
( e22 != op2(e21,e23)
| op2(e21,e23) = e22 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_0_838,plain,
( op2(e21,e23) = e22
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_0_744,refute_0_837]) ).
cnf(refute_0_839,plain,
( e22 != op2(e22,e23)
| op2(e21,e23) != e22
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_0_840,plain,
( e22 != op2(e22,e23)
| op2(e21,e23) = op2(e22,e23)
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_0_838,refute_0_839]) ).
cnf(refute_0_841,plain,
( e22 != op2(e22,e23)
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_0_840,refute_0_836]) ).
cnf(refute_0_842,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_0_140]) ).
cnf(refute_0_843,plain,
( e23 != e23
| h1(e11) != e23
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_0_844,plain,
( e23 != e23
| h1(e11) = e23
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_739,refute_0_843]) ).
cnf(refute_0_845,plain,
( e23 != e23
| op2(e20,e23) = e20
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_844,refute_0_19]) ).
cnf(refute_0_846,plain,
( op2(e20,e23) = e20
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_633,refute_0_845]) ).
cnf(refute_0_847,plain,
( e20 != op2(e22,e23)
| op2(e20,e23) != e20
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_0_848,plain,
( e20 != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23)
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
( e20 != op2(e22,e23)
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_0_848,refute_0_842]) ).
cnf(refute_0_850,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_0_141]) ).
cnf(refute_0_851,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_0_850,refute_0_805]) ).
cnf(refute_0_852,plain,
( e20 != e20
| op2(e22,e23) != e20
| e20 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_0_853,plain,
( e20 != e20
| e20 = op2(e22,e23)
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_0_851,refute_0_852]) ).
cnf(refute_0_854,plain,
( e20 != e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e23)) )],[refute_0_853,refute_0_849]) ).
cnf(refute_0_855,plain,
( op2(e22,e23) = e22
| op2(e22,e23) = e23
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_256,refute_0_854]) ).
cnf(refute_0_856,plain,
( e22 != e22
| op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_0_857,plain,
( e22 != e22
| e22 = op2(e22,e23)
| op2(e22,e23) = e23
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_0_855,refute_0_856]) ).
cnf(refute_0_858,plain,
( e22 != e22
| op2(e22,e23) = e23
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_0_857,refute_0_841]) ).
cnf(refute_0_859,plain,
( op2(e22,e23) = e23
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_0_628,refute_0_858]) ).
cnf(refute_0_860,plain,
( e23 != e23
| op2(e22,e23) != e23
| op2(e22,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_0_861,plain,
( e23 != e23
| op2(e22,e23) = e23
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_0_859,refute_0_860]) ).
cnf(refute_0_862,plain,
( e23 != e23
| ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_0_861,refute_0_835]) ).
cnf(refute_0_863,plain,
( ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_633,refute_0_862]) ).
cnf(refute_0_864,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_0_715,refute_0_863]) ).
cnf(refute_0_865,plain,
( h1(e11) = e20
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_0_864,refute_0_641]) ).
cnf(refute_0_866,plain,
( e21 != op2(h1(e11),e23)
| e21 = op2(e20,e23)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_865,refute_0_822]) ).
cnf(refute_0_867,plain,
( e21 = op2(e20,e23)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e21,op2(h1(e11),e23)) )],[refute_0_496,refute_0_866]) ).
cnf(refute_0_868,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_0_867,refute_0_830]) ).
cnf(refute_0_869,plain,
( h1(e11) = e23
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_0_868,refute_0_422]) ).
cnf(refute_0_870,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_869,refute_0_443]) ).
cnf(refute_0_871,plain,
( h1(e10) = op2(h1(e11),e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_0_395,refute_0_870]) ).
cnf(refute_0_872,plain,
( e20 != e20
| e20 = h1(e11)
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_454,refute_0_253]) ).
cnf(refute_0_873,plain,
( e20 != e20
| h1(e10) = e21
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_0_872,refute_0_186]) ).
cnf(refute_0_874,plain,
( h1(e10) = e21
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_256,refute_0_873]) ).
cnf(refute_0_875,plain,
( e13 != e13
| h1(e10) = e21
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_874,refute_0_258]) ).
cnf(refute_0_876,plain,
( e13 != e13
| h1(e10) = e21
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_875,refute_0_118]) ).
cnf(refute_0_877,plain,
( h1(e10) = e21
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_101,refute_0_876]) ).
cnf(refute_0_878,plain,
( op1(e11,e13) != e13
| e12 = e13
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_0_877,refute_0_262]) ).
cnf(refute_0_879,plain,
( e12 = e13
| h1(e10) = e21
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_61,refute_0_878]) ).
cnf(refute_0_880,plain,
( h1(e10) = e21
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_0_879,refute_0_106]) ).
cnf(refute_0_881,plain,
( e13 != op1(e12,e12)
| h1(e10) = e21
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_0_880,refute_0_398]) ).
cnf(refute_0_882,plain,
( e13 != op1(e12,e12)
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_0_881,refute_0_397]) ).
cnf(refute_0_883,plain,
( e13 != e13
| h1(e10) = e21
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_875,refute_0_301]) ).
cnf(refute_0_884,plain,
( h1(e10) = e21
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_101,refute_0_883]) ).
cnf(refute_0_885,plain,
( e11 != op1(e12,e12)
| h1(e10) = e21
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_0_884,refute_0_403]) ).
cnf(refute_0_886,plain,
( e11 != op1(e12,e12)
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_0_885,refute_0_271]) ).
cnf(refute_0_887,plain,
( e11 != e11
| h1(e10) = e21
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(e11,op1(e12,e12)) )],[refute_0_411,refute_0_886]) ).
cnf(refute_0_888,plain,
( h1(e10) = e21
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_92,refute_0_887]) ).
cnf(refute_0_889,plain,
( e13 != e13
| e13 = op1(e12,e12)
| h1(e10) = e21
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_888,refute_0_414]) ).
cnf(refute_0_890,plain,
( e13 != e13
| h1(e10) = e21
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_0_889,refute_0_882]) ).
cnf(refute_0_891,plain,
( h1(e10) = e21
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_101,refute_0_890]) ).
cnf(refute_0_892,plain,
( op1(e12,e12) != op1(e12,e12)
| h1(e10) = e21
| op1(e12,op1(e12,e12)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_0_891,refute_0_418]) ).
cnf(refute_0_893,plain,
( op1(e12,e12) != op1(e12,e12)
| ~ definitionFOFtoCNF_2
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e12)) )],[refute_0_892,refute_0_396]) ).
cnf(refute_0_894,plain,
( ~ definitionFOFtoCNF_2
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e12)) )],[refute_0_421,refute_0_893]) ).
cnf(refute_0_895,plain,
( h1(e10) = e21
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_0_868,refute_0_894]) ).
cnf(refute_0_896,plain,
( h1(e10) != op2(h1(e11),e23)
| e21 = op2(h1(e11),e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_0_895,refute_0_494]) ).
cnf(refute_0_897,plain,
( e21 = op2(h1(e11),e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e23)) )],[refute_0_871,refute_0_896]) ).
cnf(refute_0_898,plain,
op1(e10,e11) != op1(e12,e11),
inference(canonicalize,[],[normalize_0_142]) ).
cnf(refute_0_899,plain,
( op1(e12,e12) != e11
| op1(e12,e11) = e12 ),
inference(canonicalize,[],[normalize_0_143]) ).
cnf(refute_0_900,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(canonicalize,[],[normalize_0_144]) ).
cnf(refute_0_901,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_0_145]) ).
cnf(refute_0_902,plain,
( op1(e13,e12) != e11
| op1(e13,e13) != e11
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_0_903,plain,
( op1(e13,e12) != e11
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_26,refute_0_902]) ).
cnf(refute_0_904,plain,
op1(e13,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_0_903,refute_0_901]) ).
cnf(refute_0_905,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_0_900,refute_0_904]) ).
cnf(refute_0_906,plain,
op1(e11,e10) != op1(e11,e12),
inference(canonicalize,[],[normalize_0_146]) ).
cnf(refute_0_907,plain,
( e11 != op1(e11,e12)
| op1(e11,e10) != e11
| op1(e11,e10) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_0_908,plain,
( e11 != op1(e11,e12)
| op1(e11,e10) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_56,refute_0_907]) ).
cnf(refute_0_909,plain,
e11 != op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_0_908,refute_0_906]) ).
cnf(refute_0_910,plain,
( op1(e11,e12) != e11
| e11 = op1(e11,e12) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(e11))]]) ).
cnf(refute_0_911,plain,
op1(e11,e12) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_0_910,refute_0_909]) ).
cnf(refute_0_912,plain,
( op1(e10,e12) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_905,refute_0_911]) ).
cnf(refute_0_913,plain,
( e11 != e11
| op1(e12,e12) != e11
| op1(e12,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_0_914,plain,
( e11 != e11
| op1(e10,e12) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_0_912,refute_0_913]) ).
cnf(refute_0_915,plain,
( e11 != e11
| op1(e10,e12) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_0_914,refute_0_899]) ).
cnf(refute_0_916,plain,
( op1(e10,e12) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_92,refute_0_915]) ).
cnf(refute_0_917,plain,
( op1(e10,e11) != e12
| op1(e12,e11) != e12
| op1(e10,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e12,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_0_918,plain,
( op1(e10,e11) != e12
| op1(e10,e11) = op1(e12,e11)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_0_916,refute_0_917]) ).
cnf(refute_0_919,plain,
( op1(e10,e11) != e12
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e11)) )],[refute_0_918,refute_0_898]) ).
cnf(refute_0_920,plain,
( op1(e10,op1(e12,e10)) != op1(e12,e10)
| ~ definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_0_147]) ).
cnf(refute_0_921,plain,
( op1(e10,e13) != op1(e12,e10)
| op1(e12,e10) != e13
| op1(e10,op1(e12,e10)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e12,e10)),op1(e12,e10)) ),[0,1],$fot(e13)]]) ).
cnf(refute_0_922,plain,
( op1(e10,e13) != op1(e12,e10)
| op1(e10,op1(e12,e10)) = op1(e12,e10)
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_0_349,refute_0_921]) ).
cnf(refute_0_923,plain,
( op1(e10,e13) != op1(e12,e10)
| ~ definitionFOFtoCNF_2
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e10)),op1(e12,e10)) )],[refute_0_922,refute_0_920]) ).
cnf(refute_0_924,plain,
op1(e10,e13) = op1(e10,e13),
introduced(tautology,[refl,[$fot(op1(e10,e13))]]) ).
cnf(refute_0_925,plain,
( op1(e10,e13) != op1(e10,e13)
| op1(e10,e13) != op1(e12,e10)
| op1(e12,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),op1(e10,e13)) ),[0],$fot(op1(e12,e10))]]) ).
cnf(refute_0_926,plain,
( op1(e10,e13) != op1(e12,e10)
| op1(e12,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e10,e13)) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
( op1(e12,e10) != e10
| op1(e12,e10) != op1(e10,e13)
| op1(e10,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_0_928,plain,
( op1(e10,e13) != op1(e12,e10)
| op1(e12,e10) != e10
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e10,e13)) )],[refute_0_926,refute_0_927]) ).
cnf(refute_0_929,plain,
( op1(e10,e13) != op1(e12,e10)
| ~ definitionFOFtoCNF_2
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_0_923,refute_0_928]) ).
cnf(refute_0_930,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_0_148]) ).
cnf(refute_0_931,plain,
( e11 = e10
| op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_0_930,refute_0_283]) ).
cnf(refute_0_932,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_0_931,refute_0_168]) ).
cnf(refute_0_933,plain,
( op1(e10,e13) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_0_932,refute_0_81]) ).
cnf(refute_0_934,plain,
( op1(e12,e10) != e10
| op1(e12,e13) != e10
| op1(e12,e10) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_0_935,plain,
( op1(e12,e10) != e10
| op1(e10,e13) = e10
| op1(e12,e10) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_0_933,refute_0_934]) ).
cnf(refute_0_936,plain,
( op1(e12,e10) != e10
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e13)) )],[refute_0_935,refute_0_336]) ).
cnf(refute_0_937,plain,
( e10 != e10
| op1(e12,e10) = e10
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_0_349,refute_0_434]) ).
cnf(refute_0_938,plain,
( e10 != e10
| op1(e10,e13) = e10
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_0_937,refute_0_936]) ).
cnf(refute_0_939,plain,
( op1(e10,e13) = e10
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_0_55,refute_0_938]) ).
cnf(refute_0_940,plain,
( op1(e10,e13) != e13
| op1(e12,e10) != e13
| op1(e10,e13) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_0_941,plain,
( op1(e10,e13) != e13
| op1(e10,e13) = e10
| op1(e10,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_0_939,refute_0_940]) ).
cnf(refute_0_942,plain,
( op1(e10,e13) != e13
| ~ definitionFOFtoCNF_2
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e10)) )],[refute_0_941,refute_0_929]) ).
cnf(refute_0_943,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0],$fot(e13)]]) ).
cnf(refute_0_944,plain,
( op1(e10,e13) != e13
| ~ definitionFOFtoCNF_2
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_0_942,refute_0_943]) ).
cnf(refute_0_945,plain,
( op1(e10,e13) != e13
| ~ definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_0_944,refute_0_117]) ).
cnf(refute_0_946,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_0_149]) ).
cnf(refute_0_947,plain,
( e11 = e13
| op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_0_946,refute_0_65]) ).
cnf(refute_0_948,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_947,refute_0_60]) ).
cnf(refute_0_949,plain,
( op1(e12,e10) != e13
| op1(e12,e13) != e13
| op1(e12,e10) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_0_950,plain,
( op1(e12,e10) != e13
| op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e10) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
( op1(e12,e10) != e13
| op1(e10,e13) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e13)) )],[refute_0_950,refute_0_336]) ).
cnf(refute_0_952,plain,
( op1(e10,e10) != e10
| op1(e12,e10) != e10
| op1(e10,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e12,e10)) ),[1],$fot(e10)]]) ).
cnf(refute_0_953,plain,
( op1(e10,e10) != e10
| op1(e10,e10) = op1(e12,e10)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_0_349,refute_0_952]) ).
cnf(refute_0_954,plain,
( op1(e10,e10) != e10
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e12,e10)) )],[refute_0_953,refute_0_62]) ).
cnf(refute_0_955,plain,
( op1(e12,e12) != op1(e12,e12)
| op1(e10,e10) = e10
| op1(e12,op1(e12,e12)) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_0_72,refute_0_418]) ).
cnf(refute_0_956,plain,
( op1(e12,e12) != op1(e12,e12)
| ~ definitionFOFtoCNF_2
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e12)) )],[refute_0_955,refute_0_396]) ).
cnf(refute_0_957,plain,
( ~ definitionFOFtoCNF_2
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e12)) )],[refute_0_421,refute_0_956]) ).
cnf(refute_0_958,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_0_868,refute_0_957]) ).
cnf(refute_0_959,plain,
( e10 != e10
| op1(e10,e10) != e10
| op1(e10,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_0_960,plain,
( e10 != e10
| op1(e10,e10) = e10
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_958,refute_0_959]) ).
cnf(refute_0_961,plain,
( e10 != e10
| op1(e12,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_960,refute_0_954]) ).
cnf(refute_0_962,plain,
( op1(e12,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_0_55,refute_0_961]) ).
cnf(refute_0_963,plain,
( e13 != e13
| op1(e12,e10) != e13
| op1(e12,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e13) ),[1],$fot(e13)]]) ).
cnf(refute_0_964,plain,
( e13 != e13
| op1(e12,e10) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
( e13 != e13
| op1(e10,e13) = e13
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_0_964,refute_0_951]) ).
cnf(refute_0_966,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_101,refute_0_965]) ).
cnf(refute_0_967,plain,
op1(e11,e12) != op1(e11,e13),
inference(canonicalize,[],[normalize_0_150]) ).
cnf(refute_0_968,plain,
( op1(e11,e12) != e13
| op1(e11,e13) != e13
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_0_969,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e11,e13)
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_82,refute_0_968]) ).
cnf(refute_0_970,plain,
( op1(e11,e12) != e13
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_0_969,refute_0_967]) ).
cnf(refute_0_971,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_0_151]) ).
cnf(refute_0_972,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(canonicalize,[],[normalize_0_152]) ).
cnf(refute_0_973,plain,
op1(e11,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_0_153]) ).
cnf(refute_0_974,plain,
( op1(e11,e10) != e12
| op1(e13,e10) != e12
| op1(e11,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_0_975,plain,
( op1(e11,e10) != e12
| op1(e11,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_0_156,refute_0_974]) ).
cnf(refute_0_976,plain,
op1(e11,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e13,e10)) )],[refute_0_975,refute_0_973]) ).
cnf(refute_0_977,plain,
( op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_0_972,refute_0_976]) ).
cnf(refute_0_978,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_0_979,plain,
( op1(e11,e11) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_51,refute_0_978]) ).
cnf(refute_0_980,plain,
( e10 = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_0_977,refute_0_979]) ).
cnf(refute_0_981,plain,
( op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_0_980,refute_0_160]) ).
cnf(refute_0_982,plain,
( op1(e11,e13) != e13
| e12 = e13
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_0_981,refute_0_262]) ).
cnf(refute_0_983,plain,
( e12 = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_61,refute_0_982]) ).
cnf(refute_0_984,plain,
( op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_0_983,refute_0_106]) ).
cnf(refute_0_985,plain,
( op1(e10,e12) != e12
| op1(e11,e12) != e12
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_0_986,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e11,e12)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_0_984,refute_0_985]) ).
cnf(refute_0_987,plain,
( op1(e10,e12) != e12
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_0_986,refute_0_971]) ).
cnf(refute_0_988,plain,
( op1(e11,op1(e12,e11)) != op1(e12,e11)
| ~ definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_0_154]) ).
cnf(refute_0_989,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(canonicalize,[],[normalize_0_155]) ).
cnf(refute_0_990,plain,
( op1(e13,e11) != e12
| op1(e13,e11) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(e13)]]) ).
cnf(refute_0_991,plain,
( op1(e13,e11) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_0_93,refute_0_990]) ).
cnf(refute_0_992,plain,
( e13 = e12
| op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_0_989,refute_0_991]) ).
cnf(refute_0_993,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_0_992,refute_0_108]) ).
cnf(refute_0_994,plain,
( e10 = e12
| op1(e10,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_0_993,refute_0_979]) ).
cnf(refute_0_995,plain,
( op1(e10,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_0_994,refute_0_160]) ).
cnf(refute_0_996,plain,
( op1(e11,op1(e12,e11)) != e12
| op1(e12,e11) != e12
| op1(e11,op1(e12,e11)) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e12,e11)),op1(e12,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_0_997,plain,
( op1(e11,op1(e12,e11)) != e12
| op1(e10,e11) = e12
| op1(e11,op1(e12,e11)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
( op1(e11,op1(e12,e11)) != e12
| ~ definitionFOFtoCNF_2
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e12,e11)) )],[refute_0_997,refute_0_988]) ).
cnf(refute_0_999,plain,
( op1(e11,e12) != e12
| op1(e12,e11) != e12
| op1(e11,op1(e12,e11)) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e12,e11)),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_0_1000,plain,
( op1(e11,e12) != e12
| op1(e10,e11) = e12
| op1(e11,op1(e12,e11)) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_0_995,refute_0_999]) ).
cnf(refute_0_1001,plain,
( op1(e11,e12) != e12
| ~ definitionFOFtoCNF_2
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),e12) )],[refute_0_1000,refute_0_998]) ).
cnf(refute_0_1002,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_0_156]) ).
cnf(refute_0_1003,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(canonicalize,[],[normalize_0_157]) ).
cnf(refute_0_1004,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_0_158]) ).
cnf(refute_0_1005,plain,
( op1(e10,e10) != e12
| op1(e13,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_0_1006,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_0_156,refute_0_1005]) ).
cnf(refute_0_1007,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_0_1006,refute_0_1004]) ).
cnf(refute_0_1008,plain,
( op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_0_1003,refute_0_1007]) ).
cnf(refute_0_1009,plain,
( e12 != op1(e11,e13)
| op1(e10,e13) != e12
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_0_1010,plain,
( e12 != op1(e11,e13)
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_0_1008,refute_0_1009]) ).
cnf(refute_0_1011,plain,
( e12 != op1(e11,e13)
| op1(e10,e11) = e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_0_1010,refute_0_1002]) ).
cnf(refute_0_1012,plain,
( e12 != e12
| op1(e11,e13) != e12
| e12 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_0_1013,plain,
( e12 != e12
| e12 = op1(e11,e13)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_0_981,refute_0_1012]) ).
cnf(refute_0_1014,plain,
( e12 != e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e12,op1(e11,e13)) )],[refute_0_1013,refute_0_1011]) ).
cnf(refute_0_1015,plain,
( e12 != e12
| ~ definitionFOFtoCNF_2
| op1(e10,e11) = e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_0_1014,refute_0_1001]) ).
cnf(refute_0_1016,plain,
( ~ definitionFOFtoCNF_2
| op1(e10,e11) = e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_295,refute_0_1015]) ).
cnf(refute_0_1017,plain,
( op1(e10,e11) = e12
| op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_0_868,refute_0_1016]) ).
cnf(refute_0_1018,plain,
( e12 != e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_1017,refute_0_292]) ).
cnf(refute_0_1019,plain,
( e12 != e12
| op1(e10,e11) = e12
| op1(e11,e12) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_1018,refute_0_987]) ).
cnf(refute_0_1020,plain,
( op1(e10,e11) = e12
| op1(e11,e12) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_295,refute_0_1019]) ).
cnf(refute_0_1021,plain,
( e13 != e13
| op1(e11,e12) != e13
| op1(e11,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e13) ),[1],$fot(e13)]]) ).
cnf(refute_0_1022,plain,
( e13 != e13
| op1(e10,e11) = e12
| op1(e11,e12) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
( e13 != e13
| op1(e10,e11) = e12
| op1(e11,e13) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_0_1022,refute_0_970]) ).
cnf(refute_0_1024,plain,
( op1(e10,e11) = e12
| op1(e11,e13) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_101,refute_0_1023]) ).
cnf(refute_0_1025,plain,
( op1(e11,e13) != e13
| e12 = e13
| op1(e10,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_0_1024,refute_0_262]) ).
cnf(refute_0_1026,plain,
( e12 = e13
| op1(e10,e11) = e12
| op1(e10,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_966,refute_0_1025]) ).
cnf(refute_0_1027,plain,
( op1(e10,e11) = e12
| op1(e10,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_0_1026,refute_0_106]) ).
cnf(refute_0_1028,plain,
( e13 != e13
| op1(e10,e13) != e13
| op1(e10,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_0_1029,plain,
( e13 != e13
| op1(e10,e11) = e12
| op1(e10,e13) = e13
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
( e13 != e13
| ~ definitionFOFtoCNF_2
| op1(e10,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_0_1029,refute_0_945]) ).
cnf(refute_0_1031,plain,
( ~ definitionFOFtoCNF_2
| op1(e10,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_101,refute_0_1030]) ).
cnf(refute_0_1032,plain,
( op1(e10,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_0_868,refute_0_1031]) ).
cnf(refute_0_1033,plain,
( e12 != e12
| op1(e10,e11) != e12
| op1(e10,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(e12)]]) ).
cnf(refute_0_1034,plain,
( e12 != e12
| op1(e10,e11) = e12
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_0_1032,refute_0_1033]) ).
cnf(refute_0_1035,plain,
( e12 != e12
| op1(e10,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_0_1034,refute_0_919]) ).
cnf(refute_0_1036,plain,
( op1(e10,e12) = e11
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_295,refute_0_1035]) ).
cnf(refute_0_1037,plain,
( e11 != op1(e12,e12)
| op1(e10,e12) = op1(e12,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_0_1036,refute_0_403]) ).
cnf(refute_0_1038,plain,
( e11 != op1(e12,e12)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_0_1037,refute_0_271]) ).
cnf(refute_0_1039,plain,
op1(e12,e10) != op1(e12,e12),
inference(canonicalize,[],[normalize_0_159]) ).
cnf(refute_0_1040,plain,
( h4(e13) != h1(e11)
| op1(e10,e10) != e13
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_0_1041,plain,
( h4(e13) != h1(e11)
| h4(op1(e10,e10)) = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_180,refute_0_1040]) ).
cnf(refute_0_1042,plain,
( h4(e13) != h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_0_1041,refute_0_143]) ).
cnf(refute_0_1043,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_0_160]) ).
cnf(refute_0_1044,plain,
( e23 != h1(e11)
| h4(e13) != e23
| h4(e13) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[1],$fot(h1(e11))]]) ).
cnf(refute_0_1045,plain,
( e23 != h1(e11)
| h4(e13) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_0_1043,refute_0_1044]) ).
cnf(refute_0_1046,plain,
( e23 != h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e13),h1(e11)) )],[refute_0_1045,refute_0_1042]) ).
cnf(refute_0_1047,plain,
( e23 != e23
| h1(e11) != e23
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h1(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_0_1048,plain,
( e23 != e23
| e23 = h1(e11)
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_739,refute_0_1047]) ).
cnf(refute_0_1049,plain,
( e23 != e23
| op1(e10,e10) = e10
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_0_1048,refute_0_1046]) ).
cnf(refute_0_1050,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_633,refute_0_1049]) ).
cnf(refute_0_1051,plain,
( e10 != e10
| op1(e10,e10) = e10
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_1050,refute_0_959]) ).
cnf(refute_0_1052,plain,
( e10 != e10
| op1(e12,e10) = e13
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_1051,refute_0_954]) ).
cnf(refute_0_1053,plain,
( op1(e12,e10) = e13
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_0_55,refute_0_1052]) ).
cnf(refute_0_1054,plain,
( e13 != op1(e12,e12)
| op1(e12,e10) != e13
| op1(e12,e10) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e13) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_0_1055,plain,
( e13 != op1(e12,e12)
| op1(e12,e10) = op1(e12,e12)
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_0_1053,refute_0_1054]) ).
cnf(refute_0_1056,plain,
( e13 != op1(e12,e12)
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_0_1055,refute_0_1039]) ).
cnf(refute_0_1057,plain,
( e13 != e13
| e13 = op1(e12,e12)
| op1(e12,e12) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_409,refute_0_414]) ).
cnf(refute_0_1058,plain,
( e13 != e13
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_0_1057,refute_0_1056]) ).
cnf(refute_0_1059,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_101,refute_0_1058]) ).
cnf(refute_0_1060,plain,
( e11 != e11
| e11 = op1(e12,e12)
| op1(e12,e12) = e12
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_0_1059,refute_0_410]) ).
cnf(refute_0_1061,plain,
( e11 != e11
| op1(e12,e12) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e11,op1(e12,e12)) )],[refute_0_1060,refute_0_1038]) ).
cnf(refute_0_1062,plain,
( op1(e12,e12) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_0_92,refute_0_1061]) ).
cnf(refute_0_1063,plain,
( op1(e12,e12) != op1(e12,e12)
| op1(e12,op1(e12,e12)) = op1(e12,e12)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_0_1062,refute_0_418]) ).
cnf(refute_0_1064,plain,
( op1(e12,e12) != op1(e12,e12)
| ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_0
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e12)) )],[refute_0_1063,refute_0_396]) ).
cnf(refute_0_1065,plain,
( ~ definitionFOFtoCNF_2
| definitionFOFtoCNF_0
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e12)) )],[refute_0_421,refute_0_1064]) ).
cnf(refute_0_1066,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_9 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_0_868,refute_0_1065]) ).
cnf(refute_0_1067,plain,
( h1(e11) = e20
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_9 )],[refute_0_1066,refute_0_641]) ).
cnf(refute_0_1068,plain,
( e21 != op2(h1(e11),e23)
| e21 = op2(e20,e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_1067,refute_0_822]) ).
cnf(refute_0_1069,plain,
( e21 = op2(e20,e23)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e21,op2(h1(e11),e23)) )],[refute_0_897,refute_0_1068]) ).
cnf(refute_0_1070,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_0_1069,refute_0_830]) ).
cnf(refute_0_1071,plain,
h1(e11) = e23,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_0_1070,refute_0_380]) ).
cnf(refute_0_1072,plain,
( e23 != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_1071,refute_0_843]) ).
cnf(refute_0_1073,plain,
( e23 != e23
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_1072,refute_0_19]) ).
cnf(refute_0_1074,plain,
op2(e20,e23) = e20,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_633,refute_0_1073]) ).
cnf(refute_0_1075,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_0_1076,plain,
( op2(e20,e23) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_0_1074,refute_0_1075]) ).
cnf(refute_0_1077,plain,
( e20 = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_0_12,refute_0_1076]) ).
cnf(refute_0_1078,plain,
( h1(e11) != e20
| h1(e11) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[0],$fot(e23)]]) ).
cnf(refute_0_1079,plain,
( h1(e11) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_1071,refute_0_1078]) ).
cnf(refute_0_1080,plain,
( e23 = e20
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_634,refute_0_1079]) ).
cnf(refute_0_1081,plain,
op2(e21,h1(e11)) = op2(e21,h1(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h1(e11)))]]) ).
cnf(refute_0_1082,plain,
( h1(e11) != e23
| op2(e21,h1(e11)) != op2(e21,h1(e11))
| op2(e21,h1(e11)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h1(e11)),op2(e21,h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_1083,plain,
( h1(e11) != e23
| op2(e21,h1(e11)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h1(e11)),op2(e21,h1(e11))) )],[refute_0_1081,refute_0_1082]) ).
cnf(refute_0_1084,plain,
op2(e21,h1(e11)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_1071,refute_0_1083]) ).
cnf(refute_0_1085,plain,
( h2(e12) != op2(e21,h1(e11))
| op2(e21,h1(e11)) != op2(e21,e23)
| h2(e12) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),op2(e21,e23)) ),[0],$fot(op2(e21,h1(e11)))]]) ).
cnf(refute_0_1086,plain,
( h2(e12) != op2(e21,h1(e11))
| h2(e12) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h1(e11)),op2(e21,e23)) )],[refute_0_1084,refute_0_1085]) ).
cnf(refute_0_1087,plain,
h2(e12) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,h1(e11))) )],[refute_0_535,refute_0_1086]) ).
cnf(refute_0_1088,plain,
( h2(e12) != op2(e21,e23)
| op2(e21,e23) = h2(e12) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h2(e12))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_0_1089,plain,
op2(e21,e23) = h2(e12),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e23)) )],[refute_0_1087,refute_0_1088]) ).
cnf(refute_0_1090,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != h2(e12)
| h2(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h2(e12))]]) ).
cnf(refute_0_1091,plain,
( op2(e21,e23) != e22
| h2(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h2(e12)) )],[refute_0_1089,refute_0_1090]) ).
cnf(refute_0_1092,plain,
( e23 = e20
| h2(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_0_1080,refute_0_1091]) ).
cnf(refute_0_1093,plain,
h2(e12) = e22,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_0_1092,refute_0_685]) ).
cnf(refute_0_1094,plain,
( h2(e12) != e22
| op2(e21,e23) != h2(e12)
| op2(e21,e23) = e22 ),
inference(subst,[],[refute_0_43:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(h2(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_0_1095,plain,
( h2(e12) != e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h2(e12)) )],[refute_0_1089,refute_0_1094]) ).
cnf(refute_0_1096,plain,
op2(e21,e23) = e22,
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_0_1093,refute_0_1095]) ).
cnf(refute_0_1097,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(e22)]]) ).
cnf(refute_0_1098,plain,
( op2(e21,e23) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_0_1096,refute_0_1097]) ).
cnf(refute_0_1099,plain,
( e20 = e23
| e22 = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_0_1077,refute_0_1098]) ).
cnf(refute_0_1100,plain,
( e22 = e23
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_0_1099,refute_0_476]) ).
cnf(refute_0_1101,plain,
op2(e22,e23) = e23,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_0_1100,refute_0_621]) ).
cnf(refute_0_1102,plain,
( e23 = e20
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_629,refute_0_1079]) ).
cnf(refute_0_1103,plain,
op2(e21,e22) = e23,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_0_1102,refute_0_685]) ).
cnf(refute_0_1104,plain,
op2(e22,op2(e21,e22)) = op2(e22,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e21,e22)))]]) ).
cnf(refute_0_1105,plain,
( op2(e21,e22) != e23
| op2(e22,op2(e21,e22)) != op2(e22,op2(e21,e22))
| op2(e22,op2(e21,e22)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e22,op2(e21,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_1106,plain,
( op2(e21,e22) != e23
| op2(e22,op2(e21,e22)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e22,op2(e21,e22))) )],[refute_0_1104,refute_0_1105]) ).
cnf(refute_0_1107,plain,
op2(e22,op2(e21,e22)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_0_1103,refute_0_1106]) ).
cnf(refute_0_1108,plain,
( op2(e22,e23) != e23
| op2(e22,op2(e21,e22)) != op2(e22,e23)
| op2(e22,op2(e21,e22)) = e23 ),
inference(subst,[],[refute_0_43:[bind(X,$fot(op2(e22,op2(e21,e22)))),bind(Y,$fot(op2(e22,e23))),bind(Z,$fot(e23))]]) ).
cnf(refute_0_1109,plain,
( op2(e22,e23) != e23
| op2(e22,op2(e21,e22)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e22,e23)) )],[refute_0_1107,refute_0_1108]) ).
cnf(refute_0_1110,plain,
op2(e22,op2(e21,e22)) = e23,
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_0_1101,refute_0_1109]) ).
cnf(refute_0_1111,plain,
( e23 != op2(e21,e22)
| op2(e22,op2(e21,e22)) != e23
| op2(e22,op2(e21,e22)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e21,e22)),e23) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_0_1112,plain,
( e23 != op2(e21,e22)
| op2(e22,op2(e21,e22)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),e23) )],[refute_0_1110,refute_0_1111]) ).
cnf(refute_0_1113,plain,
( e23 != e23
| op2(e21,e22) != e23
| e23 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e21,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_0_1114,plain,
( e23 != e23
| e23 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_0_1103,refute_0_1113]) ).
cnf(refute_0_1115,plain,
( e23 != e23
| op2(e22,op2(e21,e22)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e22)) )],[refute_0_1114,refute_0_1112]) ).
cnf(refute_0_1116,plain,
( e23 != e23
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e21,e22)) )],[refute_0_1115,refute_0_0]) ).
cnf(refute_0_1117,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_633,refute_0_1116]) ).
cnf(refute_0_1118,plain,
( e23 = e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_708,refute_0_1079]) ).
cnf(refute_0_1119,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_0_1118,refute_0_685]) ).
cnf(refute_0_1120,plain,
( ~ definitionFOFtoCNF_5
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_660,refute_0_1079]) ).
cnf(refute_0_1121,plain,
~ definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_0_1120,refute_0_685]) ).
cnf(refute_0_1122,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_0_1119,refute_0_1121]) ).
cnf(refute_0_1123,plain,
~ definitionFOFtoCNF_4,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_0_1122,refute_0_1117]) ).
cnf(refute_0_1124,plain,
$false,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_0_831,refute_0_1123]) ).
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,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,op1(e12,e10)) = op1(e12,e10)
| op1(e11,op1(e12,e11)) = op1(e12,e11)
| op1(e12,op1(e12,e12)) = op1(e12,e12)
| op1(e13,op1(e12,e13)) = op1(e12,e13) ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_1_1,plain,
( ( op1(e10,op1(e12,e10)) != op1(e12,e10)
| ~ definitionFOFtoCNF_2 )
& ( op1(e11,op1(e12,e11)) != op1(e12,e11)
| ~ definitionFOFtoCNF_2 )
& ( op1(e12,op1(e12,e12)) != op1(e12,e12)
| ~ definitionFOFtoCNF_2 )
& ( op1(e13,op1(e12,e13)) != op1(e12,e13)
| ~ definitionFOFtoCNF_2 )
& ( op1(e10,op1(e12,e10)) = op1(e12,e10)
| op1(e11,op1(e12,e11)) = op1(e12,e11)
| op1(e12,op1(e12,e12)) = op1(e12,e12)
| op1(e13,op1(e12,e13)) = op1(e12,e13)
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
( op1(e10,op1(e12,e10)) != op1(e12,e10)
| ~ definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_1_4,plain,
op1(e10,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_1_6,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
op1(e12,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_8,plain,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_1_9,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(conjunct,[],[normalize_1_8]) ).
fof(normalize_1_10,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(conjunct,[],[normalize_1_8]) ).
fof(normalize_1_11,plain,
op1(e11,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_12,plain,
( ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_1_13,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_1_8]) ).
fof(normalize_1_15,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_16,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_1_17,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_18,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_1_19,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_20,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_1_21,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_1_20]) ).
fof(normalize_1_22,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_15,normalize_1_17,normalize_1_19,normalize_1_21]) ).
fof(normalize_1_23,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_1_22]) ).
fof(normalize_1_24,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_25,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_1_26,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_1_25]) ).
fof(normalize_1_27,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_1_28,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_1_27]) ).
fof(normalize_1_29,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_30,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_31,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e10 ),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_32,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_33,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_1_25]) ).
fof(normalize_1_34,plain,
( ~ definitionFOFtoCNF_15
<=> ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_1_35,plain,
( ( h2(e10) != e22
| ~ definitionFOFtoCNF_15 )
& ( h2(e11) != e22
| ~ definitionFOFtoCNF_15 )
& ( h2(e12) != e22
| ~ definitionFOFtoCNF_15 )
& ( h2(e13) != e22
| ~ definitionFOFtoCNF_15 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ) ),
inference(clausify,[],[normalize_1_34]) ).
fof(normalize_1_36,plain,
( h2(e12) != e22
| ~ definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_1_35]) ).
fof(normalize_1_37,plain,
h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21))),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_38,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_39,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_40,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_1_27]) ).
fof(normalize_1_41,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_42,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_1_41]) ).
fof(normalize_1_43,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_1_44,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_45,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_1_27]) ).
fof(normalize_1_46,plain,
( ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_1_47,plain,
( op2(e20,e20) != e21
| op2(e20,e21) = e20 ),
inference(conjunct,[],[normalize_1_46]) ).
fof(normalize_1_48,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_49,plain,
op2(e21,e22) != op2(e21,e23),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_50,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_1_41]) ).
fof(normalize_1_51,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_52,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_53,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_54,plain,
h3(e11) = op2(e22,e22),
inference(conjunct,[],[normalize_1_20]) ).
fof(normalize_1_55,plain,
( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_1_46]) ).
fof(normalize_1_56,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_1_57,plain,
e21 != e23,
inference(conjunct,[],[normalize_1_56]) ).
fof(normalize_1_58,plain,
e20 != e21,
inference(conjunct,[],[normalize_1_56]) ).
fof(normalize_1_59,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_60,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(conjunct,[],[normalize_1_59]) ).
fof(normalize_1_61,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_62,plain,
e20 != e22,
inference(conjunct,[],[normalize_1_56]) ).
fof(normalize_1_63,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_1_59]) ).
fof(normalize_1_64,plain,
( op2(e21,e21) != e23
| op2(e21,e23) = e21 ),
inference(conjunct,[],[normalize_1_46]) ).
fof(normalize_1_65,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_1_46]) ).
fof(normalize_1_66,plain,
e22 != e23,
inference(conjunct,[],[normalize_1_56]) ).
fof(normalize_1_67,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_68,plain,
( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(conjunct,[],[normalize_1_35]) ).
fof(normalize_1_69,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_70,plain,
( ~ definitionFOFtoCNF_13
<=> ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_1_71,plain,
( ( h1(e10) != e22
| ~ definitionFOFtoCNF_13 )
& ( h1(e11) != e22
| ~ definitionFOFtoCNF_13 )
& ( h1(e12) != e22
| ~ definitionFOFtoCNF_13 )
& ( h1(e13) != e22
| ~ definitionFOFtoCNF_13 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22
| definitionFOFtoCNF_13 ) ),
inference(clausify,[],[normalize_1_70]) ).
fof(normalize_1_72,plain,
( h1(e12) != e22
| ~ definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_1_71]) ).
fof(normalize_1_73,plain,
h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22))),
inference(conjunct,[],[normalize_1_20]) ).
fof(normalize_1_74,plain,
h3(e10) = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_1_20]) ).
fof(normalize_1_75,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(conjunct,[],[normalize_1_41]) ).
fof(normalize_1_76,plain,
( op2(e22,e22) != e20
| op2(e22,e20) = e22 ),
inference(conjunct,[],[normalize_1_46]) ).
fof(normalize_1_77,plain,
op2(e22,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_78,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_79,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e22 ),
inference(conjunct,[],[normalize_1_46]) ).
fof(normalize_1_80,plain,
h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20))),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_81,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_82,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_1_59]) ).
fof(normalize_1_83,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_1_46]) ).
fof(normalize_1_84,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(conjunct,[],[normalize_1_59]) ).
fof(normalize_1_85,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_1_59]) ).
fof(normalize_1_86,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_87,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_88,plain,
op2(e20,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_89,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(conjunct,[],[normalize_1_41]) ).
fof(normalize_1_90,plain,
op2(e21,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_91,plain,
( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22
| definitionFOFtoCNF_13 ),
inference(conjunct,[],[normalize_1_71]) ).
fof(normalize_1_92,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_93,plain,
op1(e10,e11) != op1(e12,e11),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_94,plain,
( op1(e12,e12) != e11
| op1(e12,e11) = e12 ),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_95,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_96,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(conjunct,[],[normalize_1_95]) ).
fof(normalize_1_97,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_98,plain,
h4(op1(e10,e11)) != op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_1_22]) ).
fof(normalize_1_99,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_1_25]) ).
fof(normalize_1_100,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(conjunct,[],[normalize_1_95]) ).
fof(normalize_1_101,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_102,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_1_103,plain,
e12 != e13,
inference(conjunct,[],[normalize_1_102]) ).
fof(normalize_1_104,plain,
e10 != e12,
inference(conjunct,[],[normalize_1_102]) ).
fof(normalize_1_105,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_106,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(conjunct,[],[normalize_1_95]) ).
fof(normalize_1_107,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_108,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_109,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_1_25]) ).
fof(normalize_1_110,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_111,plain,
e11 != e13,
inference(conjunct,[],[normalize_1_102]) ).
fof(normalize_1_112,plain,
e10 != e11,
inference(conjunct,[],[normalize_1_102]) ).
fof(normalize_1_113,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_114,plain,
e20 != e23,
inference(conjunct,[],[normalize_1_56]) ).
fof(normalize_1_115,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_116,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_117,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_118,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_1_95]) ).
fof(normalize_1_119,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_120,plain,
op1(e12,e10) != op1(e12,e12),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_121,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_122,plain,
( op1(e12,e12) != e10
| op1(e12,e10) = e12 ),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_123,plain,
e10 != e13,
inference(conjunct,[],[normalize_1_102]) ).
fof(normalize_1_124,plain,
( ~ definitionFOFtoCNF_17
<=> ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_1_125,plain,
( ( h3(e10) != e21
| ~ definitionFOFtoCNF_17 )
& ( h3(e11) != e21
| ~ definitionFOFtoCNF_17 )
& ( h3(e12) != e21
| ~ definitionFOFtoCNF_17 )
& ( h3(e13) != e21
| ~ definitionFOFtoCNF_17 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21
| definitionFOFtoCNF_17 ) ),
inference(clausify,[],[normalize_1_124]) ).
fof(normalize_1_126,plain,
( h3(e11) != e21
| ~ definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_1_125]) ).
fof(normalize_1_127,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_128,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(e20,op2(e20,e20)) = op2(e20,e20)
| op2(e21,op2(e20,e21)) = op2(e20,e21)
| op2(e22,op2(e20,e22)) = op2(e20,e22)
| op2(e23,op2(e20,e23)) = op2(e20,e23) )
& ( op2(e20,op2(e21,e20)) = op2(e21,e20)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e23,op2(e21,e23)) = op2(e21,e23) ) ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_1_129,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_1_130,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(e20,op2(e21,e20)) = op2(e21,e20)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e23,op2(e21,e23)) = op2(e21,e23) ) ) ),
inference(simplify,[],[normalize_1_128,normalize_1_129]) ).
fof(normalize_1_131,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( op2(e20,op2(e21,e20)) != op2(e21,e20)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e21,op2(e21,e21)) != op2(e21,e21)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e22,op2(e21,e22)) != op2(e21,e22)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e23,op2(e21,e23)) != op2(e21,e23)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e20,op2(e21,e20)) = op2(e21,e20)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e23,op2(e21,e23)) = op2(e21,e23)
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_1_130]) ).
fof(normalize_1_132,plain,
( op2(e20,op2(e21,e20)) != op2(e21,e20)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_1_131]) ).
fof(normalize_1_133,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_134,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(conjunct,[],[normalize_1_59]) ).
fof(normalize_1_135,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_1_59]) ).
fof(normalize_1_136,plain,
( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21
| definitionFOFtoCNF_17 ),
inference(conjunct,[],[normalize_1_125]) ).
fof(normalize_1_137,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_138,plain,
( op2(e20,e20) != e23
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_1_46]) ).
fof(normalize_1_139,plain,
( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
| definitionFOFtoCNF_4 )
& ( op2(e21,op2(e20,e21)) != op2(e20,e21)
| definitionFOFtoCNF_4 )
& ( op2(e22,op2(e20,e22)) != op2(e20,e22)
| definitionFOFtoCNF_4 )
& ( op2(e23,op2(e20,e23)) != op2(e20,e23)
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_4
| op2(e20,op2(e20,e20)) = op2(e20,e20)
| op2(e21,op2(e20,e21)) = op2(e20,e21)
| op2(e22,op2(e20,e22)) = op2(e20,e22)
| op2(e23,op2(e20,e23)) = op2(e20,e23) ) ),
inference(clausify,[],[normalize_1_129]) ).
fof(normalize_1_140,plain,
( op2(e20,op2(e20,e20)) != op2(e20,e20)
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_1_139]) ).
fof(normalize_1_141,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(conjunct,[],[normalize_1_59]) ).
fof(normalize_1_142,plain,
op2(e21,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_143,plain,
( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ),
inference(conjunct,[],[normalize_1_46]) ).
fof(normalize_1_144,plain,
( definitionFOFtoCNF_3
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ),
inference(simplify,[],[normalize_1_143,normalize_1_130,normalize_1_129]) ).
fof(normalize_1_145,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(e20,op2(e22,e20)) = op2(e22,e20)
| op2(e21,op2(e22,e21)) = op2(e22,e21)
| op2(e22,op2(e22,e22)) = op2(e22,e22)
| op2(e23,op2(e22,e23)) = op2(e22,e23) ) ),
inference(canonicalize,[],[definition_9]) ).
fof(normalize_1_146,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ),
inference(simplify,[],[normalize_1_144,normalize_1_145]) ).
fof(normalize_1_147,plain,
( ( op2(e20,op2(e23,e20)) != op2(e23,e20)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e21,op2(e23,e21)) != op2(e23,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e22,op2(e23,e22)) != op2(e23,e22)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e23,op2(e23,e23)) != op2(e23,e23)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_1_146]) ).
fof(normalize_1_148,plain,
( op2(e20,op2(e23,e20)) != op2(e23,e20)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_1_147]) ).
fof(normalize_1_149,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_1_59]) ).
fof(normalize_1_150,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_151,plain,
( op2(e21,op2(e23,e21)) != op2(e23,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_1_147]) ).
fof(normalize_1_152,plain,
( ( op2(e20,op2(e22,e20)) != op2(e22,e20)
| ~ definitionFOFtoCNF_5 )
& ( op2(e21,op2(e22,e21)) != op2(e22,e21)
| ~ definitionFOFtoCNF_5 )
& ( op2(e22,op2(e22,e22)) != op2(e22,e22)
| ~ definitionFOFtoCNF_5 )
& ( op2(e23,op2(e22,e23)) != op2(e22,e23)
| ~ definitionFOFtoCNF_5 )
& ( op2(e20,op2(e22,e20)) = op2(e22,e20)
| op2(e21,op2(e22,e21)) = op2(e22,e21)
| op2(e22,op2(e22,e22)) = op2(e22,e22)
| op2(e23,op2(e22,e23)) = op2(e22,e23)
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_1_145]) ).
fof(normalize_1_153,plain,
( op2(e21,op2(e22,e21)) != op2(e22,e21)
| ~ definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_1_152]) ).
fof(normalize_1_154,plain,
( op2(e22,e22) != e21
| op2(e22,e21) = e22 ),
inference(conjunct,[],[normalize_1_46]) ).
fof(normalize_1_155,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_156,plain,
( op2(e20,op2(e22,e20)) != op2(e22,e20)
| ~ definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_1_152]) ).
fof(normalize_1_157,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_1_41]) ).
fof(normalize_1_158,plain,
( op1(e11,op1(e12,e11)) != op1(e12,e11)
| ~ definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_159,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_1_43]) ).
fof(normalize_1_160,plain,
( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_161,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,op1(e10,e10)) = op1(e10,e10)
| op1(e11,op1(e10,e11)) = op1(e10,e11)
| op1(e12,op1(e10,e12)) = op1(e10,e12)
| op1(e13,op1(e10,e13)) = op1(e10,e13) )
& ( op1(e10,op1(e11,e10)) = op1(e11,e10)
| op1(e11,op1(e11,e11)) = op1(e11,e11)
| op1(e12,op1(e11,e12)) = op1(e11,e12)
| op1(e13,op1(e11,e13)) = op1(e11,e13) ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_1_162,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_1_163,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,op1(e11,e10)) = op1(e11,e10)
| op1(e11,op1(e11,e11)) = op1(e11,e11)
| op1(e12,op1(e11,e12)) = op1(e11,e12)
| op1(e13,op1(e11,e13)) = op1(e11,e13) ) ) ),
inference(simplify,[],[normalize_1_161,normalize_1_162]) ).
fof(normalize_1_164,plain,
( definitionFOFtoCNF_0
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ),
inference(simplify,[],[normalize_1_160,normalize_1_163,normalize_1_162]) ).
fof(normalize_1_165,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ),
inference(simplify,[],[normalize_1_164,normalize_1_0]) ).
fof(normalize_1_166,plain,
( ( op1(e10,op1(e13,e10)) != op1(e13,e10)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e13,e11)) != op1(e13,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,op1(e13,e12)) != op1(e13,e12)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,op1(e13,e13)) != op1(e13,e13)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_1_165]) ).
fof(normalize_1_167,plain,
( op1(e10,op1(e13,e10)) != op1(e13,e10)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_1_166]) ).
fof(normalize_1_168,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_169,plain,
( op1(e11,op1(e13,e11)) != op1(e13,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_1_166]) ).
fof(normalize_1_170,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_171,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_172,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_173,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(conjunct,[],[normalize_1_95]) ).
fof(normalize_1_174,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( op1(e10,op1(e11,e10)) != op1(e11,e10)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op1(e11,op1(e11,e11)) != op1(e11,e11)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op1(e12,op1(e11,e12)) != op1(e11,e12)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op1(e13,op1(e11,e13)) != op1(e11,e13)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op1(e10,op1(e11,e10)) = op1(e11,e10)
| op1(e11,op1(e11,e11)) = op1(e11,e11)
| op1(e12,op1(e11,e12)) = op1(e11,e12)
| op1(e13,op1(e11,e13)) = op1(e11,e13)
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_1_163]) ).
fof(normalize_1_175,plain,
( op1(e10,op1(e11,e10)) != op1(e11,e10)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_1_174]) ).
fof(normalize_1_176,plain,
( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
| definitionFOFtoCNF_1 )
& ( op1(e11,op1(e10,e11)) != op1(e10,e11)
| definitionFOFtoCNF_1 )
& ( op1(e12,op1(e10,e12)) != op1(e10,e12)
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e10,e13)) != op1(e10,e13)
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_1
| op1(e10,op1(e10,e10)) = op1(e10,e10)
| op1(e11,op1(e10,e11)) = op1(e10,e11)
| op1(e12,op1(e10,e12)) = op1(e10,e12)
| op1(e13,op1(e10,e13)) = op1(e10,e13) ) ),
inference(clausify,[],[normalize_1_162]) ).
fof(normalize_1_177,plain,
( op1(e10,op1(e10,e10)) != op1(e10,e10)
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_1_176]) ).
cnf(refute_1_0,plain,
( op1(e10,op1(e12,e10)) != op1(e12,e10)
| ~ definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
op1(e10,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_2,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_3,plain,
op1(e12,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_4,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_5,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_6,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_7,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_8,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_6,refute_1_7]) ).
cnf(refute_1_9,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = e10 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_1_10,plain,
op1(op1(e13,e13),op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_1_5,refute_1_9]) ).
cnf(refute_1_11,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
introduced(tautology,[refl,[$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_1_12,plain,
( op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) ),[1,1],$fot(e10)]]) ).
cnf(refute_1_13,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_1_11,refute_1_12]) ).
cnf(refute_1_14,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e10) )],[refute_1_10,refute_1_13]) ).
cnf(refute_1_15,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,e10)
| e12 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e10)) ),[0],$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_1_16,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| e12 = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,e10)) )],[refute_1_14,refute_1_15]) ).
cnf(refute_1_17,plain,
e12 = op1(e13,e10),
inference(resolve,[$cnf( $equal(e12,op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_1_4,refute_1_16]) ).
cnf(refute_1_18,plain,
( e12 != op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e10)))]]) ).
cnf(refute_1_19,plain,
op1(e13,e10) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e10)) )],[refute_1_17,refute_1_18]) ).
cnf(refute_1_20,plain,
( op1(e12,e10) != e12
| op1(e13,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_1_21,plain,
( op1(e12,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_1_19,refute_1_20]) ).
cnf(refute_1_22,plain,
op1(e12,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e13,e10)) )],[refute_1_21,refute_1_3]) ).
cnf(refute_1_23,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_1_2,refute_1_22]) ).
cnf(refute_1_24,plain,
op1(e11,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_25,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_26,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_1_14]) ).
cnf(refute_1_27,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_1_28,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_1_26,refute_1_27]) ).
cnf(refute_1_29,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_1_30,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_1_31,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_1_29,refute_1_30]) ).
cnf(refute_1_32,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_28,refute_1_31]) ).
cnf(refute_1_33,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_1_34,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_1_35,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_1_33,refute_1_34]) ).
cnf(refute_1_36,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_28,refute_1_35]) ).
cnf(refute_1_37,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_38,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_8,refute_1_37]) ).
cnf(refute_1_39,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_1_38:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_1_40,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_1_36,refute_1_39]) ).
cnf(refute_1_41,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_1_32,refute_1_40]) ).
cnf(refute_1_42,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_1_43,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| e10 = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_1_41,refute_1_42]) ).
cnf(refute_1_44,plain,
e10 = op1(e11,e11),
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_1_5,refute_1_43]) ).
cnf(refute_1_45,plain,
( e10 != op1(e11,e11)
| op1(e11,e11) = e10 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e11)))]]) ).
cnf(refute_1_46,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_1_44,refute_1_45]) ).
cnf(refute_1_47,plain,
( e10 != e10
| op1(e11,e11) != e10
| op1(e11,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(e10)]]) ).
cnf(refute_1_48,plain,
( e10 != e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_1_46,refute_1_47]) ).
cnf(refute_1_49,plain,
( e10 != e10
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_1_48,refute_1_25]) ).
cnf(refute_1_50,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_1_51,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_1_50,refute_1_49]) ).
cnf(refute_1_52,plain,
( e11 != op1(e12,e10)
| op1(e11,e10) != e11
| op1(e11,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_1_53,plain,
( e11 != op1(e12,e10)
| op1(e11,e10) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_51,refute_1_52]) ).
cnf(refute_1_54,plain,
e11 != op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,e10)) )],[refute_1_53,refute_1_24]) ).
cnf(refute_1_55,plain,
( op1(e12,e10) != e11
| e11 = op1(e12,e10) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(op1(e12,e10))),bind(Y,$fot(e11))]]) ).
cnf(refute_1_56,plain,
op1(e12,e10) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e10)) )],[refute_1_55,refute_1_54]) ).
cnf(refute_1_57,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_1_23,refute_1_56]) ).
cnf(refute_1_58,plain,
( op1(e10,e10) != e10
| op1(e12,e10) != e10
| op1(e10,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e12,e10)) ),[1],$fot(e10)]]) ).
cnf(refute_1_59,plain,
( op1(e10,e10) != e10
| op1(e10,e10) = op1(e12,e10)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_1_57,refute_1_58]) ).
cnf(refute_1_60,plain,
( op1(e10,e10) != e10
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e12,e10)) )],[refute_1_59,refute_1_1]) ).
cnf(refute_1_61,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_1_23]) ).
cnf(refute_1_62,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_1_24]) ).
cnf(refute_1_63,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_1_64,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_1_62,refute_1_63]) ).
cnf(refute_1_65,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_1_26]) ).
cnf(refute_1_66,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_1_28]) ).
cnf(refute_1_67,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = e20 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_1_68,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_1_66,refute_1_67]) ).
cnf(refute_1_69,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_1_70,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_1_68,refute_1_69]) ).
cnf(refute_1_71,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_1_65,refute_1_70]) ).
cnf(refute_1_72,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_1_73,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_74,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_1_72,refute_1_73]) ).
cnf(refute_1_75,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_71,refute_1_74]) ).
cnf(refute_1_76,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_1_77,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_78,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_1_76,refute_1_77]) ).
cnf(refute_1_79,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_71,refute_1_78]) ).
cnf(refute_1_80,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_1_38:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_1_81,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_1_79,refute_1_80]) ).
cnf(refute_1_82,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_1_75,refute_1_81]) ).
cnf(refute_1_83,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_1_38:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_1_84,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_1_82,refute_1_83]) ).
cnf(refute_1_85,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_84]) ).
cnf(refute_1_86,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_1_87,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_1_85,refute_1_86]) ).
cnf(refute_1_88,plain,
h4(op1(e10,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_1_61,refute_1_87]) ).
cnf(refute_1_89,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(canonicalize,[],[normalize_1_29]) ).
cnf(refute_1_90,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_1_30]) ).
cnf(refute_1_91,plain,
( op1(e10,e10) != e12
| op1(e13,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_1_92,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_1_19,refute_1_91]) ).
cnf(refute_1_93,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_1_92,refute_1_90]) ).
cnf(refute_1_94,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_1_89,refute_1_93]) ).
cnf(refute_1_95,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e10 ),
inference(canonicalize,[],[normalize_1_31]) ).
cnf(refute_1_96,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_1_32]) ).
cnf(refute_1_97,plain,
( op1(e10,e11) != e10
| op1(e11,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_1_98,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_1_46,refute_1_97]) ).
cnf(refute_1_99,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_1_98,refute_1_96]) ).
cnf(refute_1_100,plain,
op1(e10,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_1_95,refute_1_99]) ).
cnf(refute_1_101,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_94,refute_1_100]) ).
cnf(refute_1_102,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e13
| h4(e13) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_1_103,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e13) = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_1_101,refute_1_102]) ).
cnf(refute_1_104,plain,
( h4(e13) = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_1_88,refute_1_103]) ).
cnf(refute_1_105,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_1_33]) ).
cnf(refute_1_106,plain,
( h4(e13) != e23
| h4(e13) != h1(e11)
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h1(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_1_107,plain,
( h4(e13) != h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_1_105,refute_1_106]) ).
cnf(refute_1_108,plain,
( e23 = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e13),h1(e11)) )],[refute_1_104,refute_1_107]) ).
cnf(refute_1_109,plain,
( e10 != e10
| op1(e10,e10) != e10
| op1(e10,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_1_110,plain,
( e10 != e10
| e23 = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_108,refute_1_109]) ).
cnf(refute_1_111,plain,
( e10 != e10
| e23 = h1(e11)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_110,refute_1_60]) ).
cnf(refute_1_112,plain,
( e23 = h1(e11)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_1_50,refute_1_111]) ).
cnf(refute_1_113,plain,
( h2(e12) != e22
| ~ definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_1_36]) ).
cnf(refute_1_114,plain,
h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21))),
inference(canonicalize,[],[normalize_1_37]) ).
cnf(refute_1_115,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_1_38]) ).
cnf(refute_1_116,plain,
( h2(e10) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = h2(e10) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(op2(e21,e21),op2(e21,e21))))]]) ).
cnf(refute_1_117,plain,
op2(op2(e21,e21),op2(e21,e21)) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),op2(e21,e21))) )],[refute_1_115,refute_1_116]) ).
cnf(refute_1_118,plain,
op2(e21,op2(op2(e21,e21),op2(e21,e21))) = op2(e21,op2(op2(e21,e21),op2(e21,e21))),
introduced(tautology,[refl,[$fot(op2(e21,op2(op2(e21,e21),op2(e21,e21))))]]) ).
cnf(refute_1_119,plain,
( op2(e21,op2(op2(e21,e21),op2(e21,e21))) != op2(e21,op2(op2(e21,e21),op2(e21,e21)))
| op2(op2(e21,e21),op2(e21,e21)) != h2(e10)
| op2(e21,op2(op2(e21,e21),op2(e21,e21))) = op2(e21,h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(op2(e21,e21),op2(e21,e21))),op2(e21,op2(op2(e21,e21),op2(e21,e21)))) ),[1,1],$fot(h2(e10))]]) ).
cnf(refute_1_120,plain,
( op2(op2(e21,e21),op2(e21,e21)) != h2(e10)
| op2(e21,op2(op2(e21,e21),op2(e21,e21))) = op2(e21,h2(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(op2(e21,e21),op2(e21,e21))),op2(e21,op2(op2(e21,e21),op2(e21,e21)))) )],[refute_1_118,refute_1_119]) ).
cnf(refute_1_121,plain,
op2(e21,op2(op2(e21,e21),op2(e21,e21))) = op2(e21,h2(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),h2(e10)) )],[refute_1_117,refute_1_120]) ).
cnf(refute_1_122,plain,
( h2(e12) != op2(e21,op2(op2(e21,e21),op2(e21,e21)))
| op2(e21,op2(op2(e21,e21),op2(e21,e21))) != op2(e21,h2(e10))
| h2(e12) = op2(e21,h2(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),op2(e21,h2(e10))) ),[0],$fot(op2(e21,op2(op2(e21,e21),op2(e21,e21))))]]) ).
cnf(refute_1_123,plain,
( h2(e12) != op2(e21,op2(op2(e21,e21),op2(e21,e21)))
| h2(e12) = op2(e21,h2(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(op2(e21,e21),op2(e21,e21))),op2(e21,h2(e10))) )],[refute_1_121,refute_1_122]) ).
cnf(refute_1_124,plain,
h2(e12) = op2(e21,h2(e10)),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,op2(op2(e21,e21),op2(e21,e21)))) )],[refute_1_114,refute_1_123]) ).
cnf(refute_1_125,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_1_39]) ).
cnf(refute_1_126,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_1_127,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_1_125,refute_1_126]) ).
cnf(refute_1_128,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_1_40]) ).
cnf(refute_1_129,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_1_130,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_1_128,refute_1_129]) ).
cnf(refute_1_131,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_1_132,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_133,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_1_131,refute_1_132]) ).
cnf(refute_1_134,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_130,refute_1_133]) ).
cnf(refute_1_135,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_1_136,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_137,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_1_135,refute_1_136]) ).
cnf(refute_1_138,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_130,refute_1_137]) ).
cnf(refute_1_139,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_1_38:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_1_140,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_1_138,refute_1_139]) ).
cnf(refute_1_141,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_1_134,refute_1_140]) ).
cnf(refute_1_142,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_1_38:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_1_143,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_1_141,refute_1_142]) ).
cnf(refute_1_144,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_1_127,refute_1_143]) ).
cnf(refute_1_145,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| e20 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e11)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_1_146,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_1_144,refute_1_145]) ).
cnf(refute_1_147,plain,
e20 = h2(e11),
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_1_66,refute_1_146]) ).
cnf(refute_1_148,plain,
( e20 != h2(e11)
| h2(e11) = e20 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e20)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_1_149,plain,
h2(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h2(e11)) )],[refute_1_147,refute_1_148]) ).
cnf(refute_1_150,plain,
( h2(e11) != e20
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = e20 ),
inference(subst,[],[refute_1_38:[bind(X,$fot(op2(e21,e21))),bind(Y,$fot(h2(e11))),bind(Z,$fot(e20))]]) ).
cnf(refute_1_151,plain,
( h2(e11) != e20
| op2(e21,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_1_127,refute_1_150]) ).
cnf(refute_1_152,plain,
op2(e21,e21) = e20,
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_1_149,refute_1_151]) ).
cnf(refute_1_153,plain,
op2(e20,op2(e21,e21)) = op2(e20,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e21)))]]) ).
cnf(refute_1_154,plain,
( op2(e20,op2(e21,e21)) != op2(e20,op2(e21,e21))
| op2(e21,e21) != e20
| op2(e20,op2(e21,e21)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,op2(e21,e21))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_155,plain,
( op2(e21,e21) != e20
| op2(e20,op2(e21,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,op2(e21,e21))) )],[refute_1_153,refute_1_154]) ).
cnf(refute_1_156,plain,
op2(e20,op2(e21,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_1_152,refute_1_155]) ).
cnf(refute_1_157,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_1_158,plain,
( op2(e21,e21) != e20
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(e20,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(e20)]]) ).
cnf(refute_1_159,plain,
( op2(e21,e21) != e20
| op2(op2(e21,e21),op2(e21,e21)) = op2(e20,op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_1_157,refute_1_158]) ).
cnf(refute_1_160,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(e20,op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_1_152,refute_1_159]) ).
cnf(refute_1_161,plain,
( op2(e20,op2(e21,e21)) != op2(e20,e20)
| op2(op2(e21,e21),op2(e21,e21)) != op2(e20,op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(e20,e20) ),
inference(subst,[],[refute_1_38:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(e20,op2(e21,e21)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_1_162,plain,
( op2(e20,op2(e21,e21)) != op2(e20,e20)
| op2(op2(e21,e21),op2(e21,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(e20,op2(e21,e21))) )],[refute_1_160,refute_1_161]) ).
cnf(refute_1_163,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,e20)) )],[refute_1_156,refute_1_162]) ).
cnf(refute_1_164,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e21,e21),op2(e21,e21)) != op2(e20,e20)
| op2(op2(e21,e21),op2(e21,e21)) = h1(e11) ),
inference(subst,[],[refute_1_38:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_1_165,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e21,e21),op2(e21,e21)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(e20,e20)) )],[refute_1_163,refute_1_164]) ).
cnf(refute_1_166,plain,
op2(op2(e21,e21),op2(e21,e21)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_165]) ).
cnf(refute_1_167,plain,
( h2(e10) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != h1(e11)
| h2(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h1(e11)) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_1_168,plain,
( h2(e10) != op2(op2(e21,e21),op2(e21,e21))
| h2(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),h1(e11)) )],[refute_1_166,refute_1_167]) ).
cnf(refute_1_169,plain,
h2(e10) = h1(e11),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),op2(e21,e21))) )],[refute_1_115,refute_1_168]) ).
cnf(refute_1_170,plain,
op2(e21,h2(e10)) = op2(e21,h2(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h2(e10)))]]) ).
cnf(refute_1_171,plain,
( h2(e10) != h1(e11)
| op2(e21,h2(e10)) != op2(e21,h2(e10))
| op2(e21,h2(e10)) = op2(e21,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e10)),op2(e21,h2(e10))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_1_172,plain,
( h2(e10) != h1(e11)
| op2(e21,h2(e10)) = op2(e21,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e10)),op2(e21,h2(e10))) )],[refute_1_170,refute_1_171]) ).
cnf(refute_1_173,plain,
op2(e21,h2(e10)) = op2(e21,h1(e11)),
inference(resolve,[$cnf( $equal(h2(e10),h1(e11)) )],[refute_1_169,refute_1_172]) ).
cnf(refute_1_174,plain,
( h2(e12) != op2(e21,h2(e10))
| op2(e21,h2(e10)) != op2(e21,h1(e11))
| h2(e12) = op2(e21,h1(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),op2(e21,h1(e11))) ),[0],$fot(op2(e21,h2(e10)))]]) ).
cnf(refute_1_175,plain,
( h2(e12) != op2(e21,h2(e10))
| h2(e12) = op2(e21,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e10)),op2(e21,h1(e11))) )],[refute_1_173,refute_1_174]) ).
cnf(refute_1_176,plain,
h2(e12) = op2(e21,h1(e11)),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,h2(e10))) )],[refute_1_124,refute_1_175]) ).
cnf(refute_1_177,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_1_42]) ).
cnf(refute_1_178,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_179,plain,
( op2(e20,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_178]) ).
cnf(refute_1_180,plain,
( h1(e11) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_1_177,refute_1_179]) ).
cnf(refute_1_181,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_182,plain,
( op2(e20,e20) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_181]) ).
cnf(refute_1_183,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_1_180,refute_1_182]) ).
cnf(refute_1_184,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_185,plain,
( op2(e20,e20) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_184]) ).
cnf(refute_1_186,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_1_183,refute_1_185]) ).
cnf(refute_1_187,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_188,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_187]) ).
cnf(refute_1_189,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_1_186,refute_1_188]) ).
cnf(refute_1_190,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_1_44]) ).
cnf(refute_1_191,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_1_192,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_191]) ).
cnf(refute_1_193,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_1_45]) ).
cnf(refute_1_194,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
introduced(tautology,[refl,[$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_1_195,plain,
( op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_196,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_1_194,refute_1_195]) ).
cnf(refute_1_197,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_1_68,refute_1_196]) ).
cnf(refute_1_198,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e20)) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_1_199,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_1_197,refute_1_198]) ).
cnf(refute_1_200,plain,
e22 = op2(e23,e20),
inference(resolve,[$cnf( $equal(e22,op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_1_193,refute_1_199]) ).
cnf(refute_1_201,plain,
( e22 != op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_1_202,plain,
op2(e23,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_1_200,refute_1_201]) ).
cnf(refute_1_203,plain,
( h1(e11) != e22
| op2(e23,e20) != e22
| h1(e11) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_1_204,plain,
( h1(e11) != e22
| h1(e11) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_202,refute_1_203]) ).
cnf(refute_1_205,plain,
( h1(e11) != e22
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,e20)) )],[refute_1_204,refute_1_192]) ).
cnf(refute_1_206,plain,
h1(e11) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_1_205,refute_1_190]) ).
cnf(refute_1_207,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_1_189,refute_1_206]) ).
cnf(refute_1_208,plain,
( op2(e20,e20) != e21
| op2(e20,e21) = e20 ),
inference(canonicalize,[],[normalize_1_47]) ).
cnf(refute_1_209,plain,
( h1(e11) != e21
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_1_210,plain,
( h1(e11) != e21
| op2(e20,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_209]) ).
cnf(refute_1_211,plain,
( h1(e11) != e21
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_1_210,refute_1_208]) ).
cnf(refute_1_212,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_1_48]) ).
cnf(refute_1_213,plain,
( op2(e20,e21) != h2(e11)
| op2(e21,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_1_214,plain,
( op2(e20,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_1_127,refute_1_213]) ).
cnf(refute_1_215,plain,
op2(e20,e21) != h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_1_214,refute_1_212]) ).
cnf(refute_1_216,plain,
( h2(e11) != e20
| op2(e20,e21) != e20
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),h2(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_1_217,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_1_149,refute_1_216]) ).
cnf(refute_1_218,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_1_217,refute_1_215]) ).
cnf(refute_1_219,plain,
h1(e11) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_1_211,refute_1_218]) ).
cnf(refute_1_220,plain,
( h1(e11) = e20
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_1_207,refute_1_219]) ).
cnf(refute_1_221,plain,
( h1(e11) != e23
| h2(e12) != op2(e21,h1(e11))
| h2(e12) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),op2(e21,h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_222,plain,
( h2(e12) != op2(e21,h1(e11))
| h1(e11) = e20
| h2(e12) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_220,refute_1_221]) ).
cnf(refute_1_223,plain,
( h1(e11) = e20
| h2(e12) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,h1(e11))) )],[refute_1_176,refute_1_222]) ).
cnf(refute_1_224,plain,
op2(e21,e22) != op2(e21,e23),
inference(canonicalize,[],[normalize_1_49]) ).
cnf(refute_1_225,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_1_50]) ).
cnf(refute_1_226,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_51]) ).
cnf(refute_1_227,plain,
( op2(e21,e23) != e21
| op2(e23,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_1_228,plain,
( op2(e21,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_130,refute_1_227]) ).
cnf(refute_1_229,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_1_228,refute_1_226]) ).
cnf(refute_1_230,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_1_225,refute_1_229]) ).
cnf(refute_1_231,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_1_52]) ).
cnf(refute_1_232,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_1_233,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_1_127,refute_1_232]) ).
cnf(refute_1_234,plain,
h2(e11) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_1_233,refute_1_231]) ).
cnf(refute_1_235,plain,
( e20 != op2(e21,e23)
| h2(e11) != e20
| h2(e11) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_1_236,plain,
( e20 != op2(e21,e23)
| h2(e11) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_1_149,refute_1_235]) ).
cnf(refute_1_237,plain,
e20 != op2(e21,e23),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e23)) )],[refute_1_236,refute_1_234]) ).
cnf(refute_1_238,plain,
( op2(e21,e23) != e20
| e20 = op2(e21,e23) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e20))]]) ).
cnf(refute_1_239,plain,
op2(e21,e23) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e23)) )],[refute_1_238,refute_1_237]) ).
cnf(refute_1_240,plain,
( op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_1_230,refute_1_239]) ).
cnf(refute_1_241,plain,
( op2(e21,e22) != e23
| op2(e21,e23) != e23
| op2(e21,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_1_242,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e21,e23)
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_1_240,refute_1_241]) ).
cnf(refute_1_243,plain,
( op2(e21,e22) != e23
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e23)) )],[refute_1_242,refute_1_224]) ).
cnf(refute_1_244,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_1_53]) ).
cnf(refute_1_245,plain,
h3(e11) = op2(e22,e22),
inference(canonicalize,[],[normalize_1_54]) ).
cnf(refute_1_246,plain,
( h3(e11) != op2(e22,e22)
| op2(e22,e22) = h3(e11) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_1_247,plain,
op2(e22,e22) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_1_245,refute_1_246]) ).
cnf(refute_1_248,plain,
( op2(e21,e22) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_1_249,plain,
( op2(e21,e22) != h3(e11)
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_247,refute_1_248]) ).
cnf(refute_1_250,plain,
op2(e21,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_1_249,refute_1_244]) ).
cnf(refute_1_251,plain,
( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_1_55]) ).
cnf(refute_1_252,plain,
( h1(e11) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_1_251,refute_1_179]) ).
cnf(refute_1_253,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e11)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_1_254,plain,
( op2(e21,e21) != e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_1_127,refute_1_253]) ).
cnf(refute_1_255,plain,
( h1(e11) = e20
| h2(e11) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_1_252,refute_1_254]) ).
cnf(refute_1_256,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_257,plain,
( op2(e22,e22) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_247,refute_1_256]) ).
cnf(refute_1_258,plain,
( h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_1_255,refute_1_257]) ).
cnf(refute_1_259,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e21)]]) ).
cnf(refute_1_260,plain,
( op2(e23,e23) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_130,refute_1_259]) ).
cnf(refute_1_261,plain,
( e21 = e23
| h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_1_258,refute_1_260]) ).
cnf(refute_1_262,plain,
e21 != e23,
inference(canonicalize,[],[normalize_1_57]) ).
cnf(refute_1_263,plain,
( h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_1_261,refute_1_262]) ).
cnf(refute_1_264,plain,
( h2(e11) != e20
| h2(e11) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e21) ),[0],$fot(e20)]]) ).
cnf(refute_1_265,plain,
( h2(e11) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_1_149,refute_1_264]) ).
cnf(refute_1_266,plain,
( e20 = e21
| h1(e11) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_1_263,refute_1_265]) ).
cnf(refute_1_267,plain,
e20 != e21,
inference(canonicalize,[],[normalize_1_58]) ).
cnf(refute_1_268,plain,
( h1(e11) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_266,refute_1_267]) ).
cnf(refute_1_269,plain,
( h3(e11) != e22
| op2(e21,e22) != e22
| op2(e21,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h3(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_1_270,plain,
( op2(e21,e22) != e22
| h1(e11) = e20
| op2(e21,e22) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_1_268,refute_1_269]) ).
cnf(refute_1_271,plain,
( op2(e21,e22) != e22
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h3(e11)) )],[refute_1_270,refute_1_250]) ).
cnf(refute_1_272,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(canonicalize,[],[normalize_1_60]) ).
cnf(refute_1_273,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_1_274,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_1_127,refute_1_273]) ).
cnf(refute_1_275,plain,
( h2(e11) = e22
| op2(e21,e20) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_1_272,refute_1_274]) ).
cnf(refute_1_276,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_1_61]) ).
cnf(refute_1_277,plain,
( op2(e21,e20) != e22
| op2(e23,e20) != e22
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_1_278,plain,
( op2(e21,e20) != e22
| op2(e21,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_202,refute_1_277]) ).
cnf(refute_1_279,plain,
op2(e21,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_1_278,refute_1_276]) ).
cnf(refute_1_280,plain,
( h2(e11) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_1_275,refute_1_279]) ).
cnf(refute_1_281,plain,
( h2(e11) != e20
| h2(e11) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[0],$fot(e20)]]) ).
cnf(refute_1_282,plain,
( h2(e11) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_1_149,refute_1_281]) ).
cnf(refute_1_283,plain,
( e20 = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_1_280,refute_1_282]) ).
cnf(refute_1_284,plain,
e20 != e22,
inference(canonicalize,[],[normalize_1_62]) ).
cnf(refute_1_285,plain,
( op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_283,refute_1_284]) ).
cnf(refute_1_286,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_1_63]) ).
cnf(refute_1_287,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_1_288,plain,
( op2(e21,e21) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_1_127,refute_1_287]) ).
cnf(refute_1_289,plain,
( h2(e11) = e23
| op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_1_286,refute_1_288]) ).
cnf(refute_1_290,plain,
( op2(e21,e21) != e23
| op2(e21,e23) = e21 ),
inference(canonicalize,[],[normalize_1_64]) ).
cnf(refute_1_291,plain,
( h2(e11) != e23
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_1_292,plain,
( h2(e11) != e23
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_1_127,refute_1_291]) ).
cnf(refute_1_293,plain,
( h2(e11) != e23
| op2(e21,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_1_292,refute_1_290]) ).
cnf(refute_1_294,plain,
h2(e11) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_1_293,refute_1_229]) ).
cnf(refute_1_295,plain,
( op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_1_289,refute_1_294]) ).
cnf(refute_1_296,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_1_65]) ).
cnf(refute_1_297,plain,
( h2(e11) != e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_1_151,refute_1_296]) ).
cnf(refute_1_298,plain,
( e20 != e20
| h2(e11) != e20
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(e20)]]) ).
cnf(refute_1_299,plain,
( e20 != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_1_149,refute_1_298]) ).
cnf(refute_1_300,plain,
( e20 != e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_1_299,refute_1_297]) ).
cnf(refute_1_301,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_1_302,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_301,refute_1_300]) ).
cnf(refute_1_303,plain,
( op2(e21,e20) != e21
| op2(e21,e20) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[0],$fot(e21)]]) ).
cnf(refute_1_304,plain,
( op2(e21,e20) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_1_302,refute_1_303]) ).
cnf(refute_1_305,plain,
( e21 = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_1_295,refute_1_304]) ).
cnf(refute_1_306,plain,
( op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_1_305,refute_1_262]) ).
cnf(refute_1_307,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(e23)]]) ).
cnf(refute_1_308,plain,
( op2(e21,e23) != e22
| e23 = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_1_306,refute_1_307]) ).
cnf(refute_1_309,plain,
( e23 = e22
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_1_285,refute_1_308]) ).
cnf(refute_1_310,plain,
e22 != e23,
inference(canonicalize,[],[normalize_1_66]) ).
cnf(refute_1_311,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_1_312,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_1_311,refute_1_310]) ).
cnf(refute_1_313,plain,
( op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_1_309,refute_1_312]) ).
cnf(refute_1_314,plain,
( e22 != e22
| op2(e21,e22) != e22
| op2(e21,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_1_315,plain,
( e22 != e22
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_1_313,refute_1_314]) ).
cnf(refute_1_316,plain,
( e22 != e22
| h1(e11) = e20
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_1_315,refute_1_271]) ).
cnf(refute_1_317,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_1_318,plain,
( h1(e11) = e20
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_317,refute_1_316]) ).
cnf(refute_1_319,plain,
( e23 != e23
| op2(e21,e22) != e23
| op2(e21,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_1_320,plain,
( e23 != e23
| h1(e11) = e20
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_1_318,refute_1_319]) ).
cnf(refute_1_321,plain,
( e23 != e23
| h1(e11) = e20
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_1_320,refute_1_243]) ).
cnf(refute_1_322,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_1_323,plain,
( h1(e11) = e20
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_322,refute_1_321]) ).
cnf(refute_1_324,plain,
( h2(e12) != op2(e21,e23)
| op2(e21,e23) != e22
| h2(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),e22) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_1_325,plain,
( h2(e12) != op2(e21,e23)
| h1(e11) = e20
| h2(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_1_323,refute_1_324]) ).
cnf(refute_1_326,plain,
( h1(e11) = e20
| h2(e12) = e22 ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e23)) )],[refute_1_223,refute_1_325]) ).
cnf(refute_1_327,plain,
( e22 != e22
| h2(e12) != e22
| h2(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e22) ),[1],$fot(e22)]]) ).
cnf(refute_1_328,plain,
( e22 != e22
| h1(e11) = e20
| h2(e12) = e22 ),
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_1_326,refute_1_327]) ).
cnf(refute_1_329,plain,
( e22 != e22
| ~ definitionFOFtoCNF_15
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_1_328,refute_1_113]) ).
cnf(refute_1_330,plain,
( ~ definitionFOFtoCNF_15
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_317,refute_1_329]) ).
cnf(refute_1_331,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_1_67]) ).
cnf(refute_1_332,plain,
op2(h1(e11),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e11),op2(e20,e20)))]]) ).
cnf(refute_1_333,plain,
( op2(e20,e20) != h1(e11)
| op2(h1(e11),op2(e20,e20)) != op2(h1(e11),op2(e20,e20))
| op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_1_334,plain,
( op2(e20,e20) != h1(e11)
| op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) )],[refute_1_332,refute_1_333]) ).
cnf(refute_1_335,plain,
op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_334]) ).
cnf(refute_1_336,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_1_337,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_1_338,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_1_336,refute_1_337]) ).
cnf(refute_1_339,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_338]) ).
cnf(refute_1_340,plain,
( op2(h1(e11),op2(e20,e20)) != op2(h1(e11),h1(e11))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e11),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(subst,[],[refute_1_38:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e11),op2(e20,e20)))),bind(Z,$fot(op2(h1(e11),h1(e11))))]]) ).
cnf(refute_1_341,plain,
( op2(h1(e11),op2(e20,e20)) != op2(h1(e11),h1(e11))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) )],[refute_1_339,refute_1_340]) ).
cnf(refute_1_342,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),h1(e11))) )],[refute_1_335,refute_1_341]) ).
cnf(refute_1_343,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),h1(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e11),h1(e11))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_1_344,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| h1(e10) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e11),h1(e11))) )],[refute_1_342,refute_1_343]) ).
cnf(refute_1_345,plain,
h1(e10) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_1_331,refute_1_344]) ).
cnf(refute_1_346,plain,
( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(canonicalize,[],[normalize_1_68]) ).
cnf(refute_1_347,plain,
( h2(e10) != e22
| h2(e10) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_348,plain,
( h2(e10) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),h1(e11)) )],[refute_1_169,refute_1_347]) ).
cnf(refute_1_349,plain,
( h1(e11) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_1_346,refute_1_348]) ).
cnf(refute_1_350,plain,
( e20 = e22
| h1(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_1_349,refute_1_282]) ).
cnf(refute_1_351,plain,
h2(e13) = e21,
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_352,plain,
( h2(e13) != e21
| h2(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_1_353,plain,
( h2(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_1_351,refute_1_352]) ).
cnf(refute_1_354,plain,
( e20 = e22
| e21 = e22
| h1(e11) = e22
| h2(e12) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_1_350,refute_1_353]) ).
cnf(refute_1_355,plain,
( e21 = e22
| h1(e11) = e22
| h2(e12) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_354,refute_1_284]) ).
cnf(refute_1_356,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_69]) ).
cnf(refute_1_357,plain,
( e22 != op2(e23,e23)
| op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_1_358,plain,
( e22 != op2(e23,e23)
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_202,refute_1_357]) ).
cnf(refute_1_359,plain,
( e22 != e21
| op2(e23,e23) != e21
| e22 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_1_360,plain,
( e22 != e21
| e22 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_130,refute_1_359]) ).
cnf(refute_1_361,plain,
( e22 != e21
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_1_360,refute_1_358]) ).
cnf(refute_1_362,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_1_361,refute_1_356]) ).
cnf(refute_1_363,plain,
( e21 != e22
| e22 = e21 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e21)),bind(Y,$fot(e22))]]) ).
cnf(refute_1_364,plain,
e21 != e22,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_1_363,refute_1_362]) ).
cnf(refute_1_365,plain,
( h1(e11) = e22
| h2(e12) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_355,refute_1_364]) ).
cnf(refute_1_366,plain,
( h2(e12) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_1_365,refute_1_206]) ).
cnf(refute_1_367,plain,
( h1(e11) != e20
| h2(e12) != op2(e21,h1(e11))
| h2(e12) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),op2(e21,h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_368,plain,
( h2(e12) != op2(e21,h1(e11))
| h1(e11) = e23
| h2(e12) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_220,refute_1_367]) ).
cnf(refute_1_369,plain,
( h1(e11) = e23
| h2(e12) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,h1(e11))) )],[refute_1_176,refute_1_368]) ).
cnf(refute_1_370,plain,
( h2(e12) != op2(e21,e20)
| op2(e21,e20) != e21
| h2(e12) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),e21) ),[0],$fot(op2(e21,e20))]]) ).
cnf(refute_1_371,plain,
( h2(e12) != op2(e21,e20)
| h2(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_1_302,refute_1_370]) ).
cnf(refute_1_372,plain,
( h1(e11) = e23
| h2(e12) = e21 ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e20)) )],[refute_1_369,refute_1_371]) ).
cnf(refute_1_373,plain,
( h2(e12) != e21
| h2(e12) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e22) ),[0],$fot(e21)]]) ).
cnf(refute_1_374,plain,
( h2(e12) != e22
| e21 = e22
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e12),e21) )],[refute_1_372,refute_1_373]) ).
cnf(refute_1_375,plain,
( e21 = e22
| h1(e11) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_1_366,refute_1_374]) ).
cnf(refute_1_376,plain,
( h1(e11) = e23
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_375,refute_1_364]) ).
cnf(refute_1_377,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e23
| h1(e10) = op2(e23,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_1_378,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(e23,h1(e11))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_376,refute_1_377]) ).
cnf(refute_1_379,plain,
( h1(e10) = op2(e23,h1(e11))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_1_345,refute_1_378]) ).
cnf(refute_1_380,plain,
( h1(e10) != op2(e23,h1(e11))
| h1(e11) != e23
| h1(e10) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e23,h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_381,plain,
( h1(e10) != op2(e23,h1(e11))
| h1(e10) = op2(e23,e23)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_376,refute_1_380]) ).
cnf(refute_1_382,plain,
( h1(e10) = op2(e23,e23)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,h1(e11))) )],[refute_1_379,refute_1_381]) ).
cnf(refute_1_383,plain,
( h1(e10) != op2(e23,e23)
| op2(e23,e23) != e21
| h1(e10) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_1_384,plain,
( h1(e10) != op2(e23,e23)
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_130,refute_1_383]) ).
cnf(refute_1_385,plain,
( h1(e10) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,e23)) )],[refute_1_382,refute_1_384]) ).
cnf(refute_1_386,plain,
( h1(e10) != e21
| h1(e10) != op2(e23,h1(e11))
| e21 = op2(e23,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e23,h1(e11))) ),[0],$fot(e21)]]) ).
cnf(refute_1_387,plain,
( h1(e10) != op2(e23,h1(e11))
| e21 = op2(e23,h1(e11))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_1_385,refute_1_386]) ).
cnf(refute_1_388,plain,
( e21 = op2(e23,h1(e11))
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,h1(e11))) )],[refute_1_379,refute_1_387]) ).
cnf(refute_1_389,plain,
( h1(e12) != e22
| ~ definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_1_72]) ).
cnf(refute_1_390,plain,
h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22))),
inference(canonicalize,[],[normalize_1_73]) ).
cnf(refute_1_391,plain,
h3(e10) = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_1_74]) ).
cnf(refute_1_392,plain,
( h3(e10) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = h3(e10) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(h3(e10))),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_1_393,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e10),
inference(resolve,[$cnf( $equal(h3(e10),op2(op2(e22,e22),op2(e22,e22))) )],[refute_1_391,refute_1_392]) ).
cnf(refute_1_394,plain,
op2(e22,op2(op2(e22,e22),op2(e22,e22))) = op2(e22,op2(op2(e22,e22),op2(e22,e22))),
introduced(tautology,[refl,[$fot(op2(e22,op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_1_395,plain,
( op2(e22,op2(op2(e22,e22),op2(e22,e22))) != op2(e22,op2(op2(e22,e22),op2(e22,e22)))
| op2(op2(e22,e22),op2(e22,e22)) != h3(e10)
| op2(e22,op2(op2(e22,e22),op2(e22,e22))) = op2(e22,h3(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(op2(e22,e22),op2(e22,e22))),op2(e22,op2(op2(e22,e22),op2(e22,e22)))) ),[1,1],$fot(h3(e10))]]) ).
cnf(refute_1_396,plain,
( op2(op2(e22,e22),op2(e22,e22)) != h3(e10)
| op2(e22,op2(op2(e22,e22),op2(e22,e22))) = op2(e22,h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(op2(e22,e22),op2(e22,e22))),op2(e22,op2(op2(e22,e22),op2(e22,e22)))) )],[refute_1_394,refute_1_395]) ).
cnf(refute_1_397,plain,
op2(e22,op2(op2(e22,e22),op2(e22,e22))) = op2(e22,h3(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h3(e10)) )],[refute_1_393,refute_1_396]) ).
cnf(refute_1_398,plain,
( h3(e12) != op2(e22,op2(op2(e22,e22),op2(e22,e22)))
| op2(e22,op2(op2(e22,e22),op2(e22,e22))) != op2(e22,h3(e10))
| h3(e12) = op2(e22,h3(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e22,h3(e10))) ),[0],$fot(op2(e22,op2(op2(e22,e22),op2(e22,e22))))]]) ).
cnf(refute_1_399,plain,
( h3(e12) != op2(e22,op2(op2(e22,e22),op2(e22,e22)))
| h3(e12) = op2(e22,h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(op2(e22,e22),op2(e22,e22))),op2(e22,h3(e10))) )],[refute_1_397,refute_1_398]) ).
cnf(refute_1_400,plain,
h3(e12) = op2(e22,h3(e10)),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,op2(op2(e22,e22),op2(e22,e22)))) )],[refute_1_390,refute_1_399]) ).
cnf(refute_1_401,plain,
op2(h3(e11),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(h3(e11),op2(e22,e22)))]]) ).
cnf(refute_1_402,plain,
( op2(e22,e22) != h3(e11)
| op2(h3(e11),op2(e22,e22)) != op2(h3(e11),op2(e22,e22))
| op2(h3(e11),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),op2(e22,e22)),op2(h3(e11),op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_1_403,plain,
( op2(e22,e22) != h3(e11)
| op2(h3(e11),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),op2(e22,e22)),op2(h3(e11),op2(e22,e22))) )],[refute_1_401,refute_1_402]) ).
cnf(refute_1_404,plain,
op2(h3(e11),op2(e22,e22)) = op2(h3(e11),h3(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_247,refute_1_403]) ).
cnf(refute_1_405,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_1_406,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(h3(e11))]]) ).
cnf(refute_1_407,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_1_405,refute_1_406]) ).
cnf(refute_1_408,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_247,refute_1_407]) ).
cnf(refute_1_409,plain,
( op2(h3(e11),op2(e22,e22)) != op2(h3(e11),h3(e11))
| op2(op2(e22,e22),op2(e22,e22)) != op2(h3(e11),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
inference(subst,[],[refute_1_38:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(h3(e11),op2(e22,e22)))),bind(Z,$fot(op2(h3(e11),h3(e11))))]]) ).
cnf(refute_1_410,plain,
( op2(h3(e11),op2(e22,e22)) != op2(h3(e11),h3(e11))
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(h3(e11),op2(e22,e22))) )],[refute_1_408,refute_1_409]) ).
cnf(refute_1_411,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),h3(e11)),
inference(resolve,[$cnf( $equal(op2(h3(e11),op2(e22,e22)),op2(h3(e11),h3(e11))) )],[refute_1_404,refute_1_410]) ).
cnf(refute_1_412,plain,
( h3(e10) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != op2(h3(e11),h3(e11))
| h3(e10) = op2(h3(e11),h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),op2(h3(e11),h3(e11))) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_1_413,plain,
( h3(e10) != op2(op2(e22,e22),op2(e22,e22))
| h3(e10) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(h3(e11),h3(e11))) )],[refute_1_411,refute_1_412]) ).
cnf(refute_1_414,plain,
h3(e10) = op2(h3(e11),h3(e11)),
inference(resolve,[$cnf( $equal(h3(e10),op2(op2(e22,e22),op2(e22,e22))) )],[refute_1_391,refute_1_413]) ).
cnf(refute_1_415,plain,
( h3(e10) != op2(h3(e11),h3(e11))
| h3(e11) != e22
| h3(e10) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(h3(e11),h3(e11))) ),[1,0],$fot(e22)]]) ).
cnf(refute_1_416,plain,
( h3(e10) != op2(h3(e11),h3(e11))
| h1(e11) = e20
| h3(e10) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_1_268,refute_1_415]) ).
cnf(refute_1_417,plain,
( h1(e11) = e20
| h3(e10) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(h3(e10),op2(h3(e11),h3(e11))) )],[refute_1_414,refute_1_416]) ).
cnf(refute_1_418,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e11) != e22
| h3(e10) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_1_419,plain,
( h3(e10) != op2(e22,h3(e11))
| h1(e11) = e20
| h3(e10) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_1_268,refute_1_418]) ).
cnf(refute_1_420,plain,
( h1(e11) = e20
| h3(e10) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) )],[refute_1_417,refute_1_419]) ).
cnf(refute_1_421,plain,
( h3(e10) != op2(e22,e22)
| op2(e22,e22) != h3(e11)
| h3(e10) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),h3(e11)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_1_422,plain,
( h3(e10) != op2(e22,e22)
| h3(e10) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_247,refute_1_421]) ).
cnf(refute_1_423,plain,
( h1(e11) = e20
| h3(e10) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e22)) )],[refute_1_420,refute_1_422]) ).
cnf(refute_1_424,plain,
( h3(e10) != h3(e11)
| h3(e11) = h3(e10) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(h3(e10))),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_1_425,plain,
( h1(e11) = e20
| h3(e11) = h3(e10) ),
inference(resolve,[$cnf( $equal(h3(e10),h3(e11)) )],[refute_1_423,refute_1_424]) ).
cnf(refute_1_426,plain,
( h3(e11) != e22
| h3(e11) != h3(e10)
| h3(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[0],$fot(h3(e10))]]) ).
cnf(refute_1_427,plain,
( h3(e11) != e22
| h1(e11) = e20
| h3(e10) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),h3(e10)) )],[refute_1_425,refute_1_426]) ).
cnf(refute_1_428,plain,
( h1(e11) = e20
| h3(e10) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_1_268,refute_1_427]) ).
cnf(refute_1_429,plain,
( h3(e10) != e22
| h3(e12) != op2(e22,h3(e10))
| h3(e12) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e12),op2(e22,h3(e10))) ),[1,1],$fot(e22)]]) ).
cnf(refute_1_430,plain,
( h3(e12) != op2(e22,h3(e10))
| h1(e11) = e20
| h3(e12) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h3(e10),e22) )],[refute_1_428,refute_1_429]) ).
cnf(refute_1_431,plain,
( h1(e11) = e20
| h3(e12) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,h3(e10))) )],[refute_1_400,refute_1_430]) ).
cnf(refute_1_432,plain,
( h3(e12) != op2(e22,e22)
| op2(e22,e22) != h3(e11)
| h3(e12) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),h3(e11)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_1_433,plain,
( h3(e12) != op2(e22,e22)
| h3(e12) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_247,refute_1_432]) ).
cnf(refute_1_434,plain,
( h1(e11) = e20
| h3(e12) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e22)) )],[refute_1_431,refute_1_433]) ).
cnf(refute_1_435,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(canonicalize,[],[normalize_1_75]) ).
cnf(refute_1_436,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_437,plain,
( op2(e22,e22) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_247,refute_1_436]) ).
cnf(refute_1_438,plain,
( h3(e11) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_1_435,refute_1_437]) ).
cnf(refute_1_439,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_440,plain,
( op2(e22,e22) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_247,refute_1_439]) ).
cnf(refute_1_441,plain,
( h3(e11) = e20
| h3(e11) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_1_438,refute_1_440]) ).
cnf(refute_1_442,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_1_441,refute_1_257]) ).
cnf(refute_1_443,plain,
( op2(e22,e22) != e23
| op2(e22,e22) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_444,plain,
( op2(e22,e22) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_247,refute_1_443]) ).
cnf(refute_1_445,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_442,refute_1_444]) ).
cnf(refute_1_446,plain,
( op2(e22,e22) != e20
| op2(e22,e20) = e22 ),
inference(canonicalize,[],[normalize_1_76]) ).
cnf(refute_1_447,plain,
( h3(e11) != e20
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_1_448,plain,
( h3(e11) != e20
| op2(e22,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_247,refute_1_447]) ).
cnf(refute_1_449,plain,
( h3(e11) != e20
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_1_448,refute_1_446]) ).
cnf(refute_1_450,plain,
op2(e22,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_1_77]) ).
cnf(refute_1_451,plain,
( op2(e22,e20) != e22
| op2(e23,e20) != e22
| op2(e22,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_1_452,plain,
( op2(e22,e20) != e22
| op2(e22,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_202,refute_1_451]) ).
cnf(refute_1_453,plain,
op2(e22,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e23,e20)) )],[refute_1_452,refute_1_450]) ).
cnf(refute_1_454,plain,
h3(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_1_449,refute_1_453]) ).
cnf(refute_1_455,plain,
( h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_1_445,refute_1_454]) ).
cnf(refute_1_456,plain,
( h3(e10) != op2(h3(e11),h3(e11))
| h3(e11) != e21
| h3(e10) = op2(e21,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(h3(e11),h3(e11))) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_457,plain,
( h3(e10) != op2(h3(e11),h3(e11))
| h3(e10) = op2(e21,h3(e11))
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_455,refute_1_456]) ).
cnf(refute_1_458,plain,
( h3(e10) = op2(e21,h3(e11))
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(h3(e11),h3(e11))) )],[refute_1_414,refute_1_457]) ).
cnf(refute_1_459,plain,
( h3(e10) != op2(e21,h3(e11))
| h3(e11) != e21
| h3(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(e21,h3(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_460,plain,
( h3(e10) != op2(e21,h3(e11))
| h3(e10) = op2(e21,e21)
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_455,refute_1_459]) ).
cnf(refute_1_461,plain,
( h3(e10) = op2(e21,e21)
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e21,h3(e11))) )],[refute_1_458,refute_1_460]) ).
cnf(refute_1_462,plain,
( h3(e10) != op2(e21,e21)
| op2(e21,e21) != e20
| h3(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),e20) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_1_463,plain,
( h3(e10) != op2(e21,e21)
| h3(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_1_152,refute_1_462]) ).
cnf(refute_1_464,plain,
( h3(e10) = e20
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e21,e21)) )],[refute_1_461,refute_1_463]) ).
cnf(refute_1_465,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_1_78]) ).
cnf(refute_1_466,plain,
( h2(e12) != op2(e21,h1(e11))
| h2(e12) = op2(e21,e23)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_376,refute_1_221]) ).
cnf(refute_1_467,plain,
( h2(e12) = op2(e21,e23)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,h1(e11))) )],[refute_1_176,refute_1_466]) ).
cnf(refute_1_468,plain,
( h2(e12) != e22
| h2(e12) != op2(e21,e23)
| e22 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),op2(e21,e23)) ),[0],$fot(e22)]]) ).
cnf(refute_1_469,plain,
( h2(e12) != op2(e21,e23)
| e22 = op2(e21,e23)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_1_366,refute_1_468]) ).
cnf(refute_1_470,plain,
( e22 = op2(e21,e23)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e23)) )],[refute_1_467,refute_1_469]) ).
cnf(refute_1_471,plain,
( e22 != op2(e21,e23)
| op2(e21,e23) = e22 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_1_472,plain,
( op2(e21,e23) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_1_470,refute_1_471]) ).
cnf(refute_1_473,plain,
( e22 != op2(e22,e23)
| op2(e21,e23) != e22
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_1_474,plain,
( e22 != op2(e22,e23)
| op2(e21,e23) = op2(e22,e23)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_1_472,refute_1_473]) ).
cnf(refute_1_475,plain,
( e22 != op2(e22,e23)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_1_474,refute_1_465]) ).
cnf(refute_1_476,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e22 ),
inference(canonicalize,[],[normalize_1_79]) ).
cnf(refute_1_477,plain,
( h3(e11) != e23
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_1_478,plain,
( h3(e11) != e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_247,refute_1_477]) ).
cnf(refute_1_479,plain,
( h3(e11) != e23
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_478,refute_1_476]) ).
cnf(refute_1_480,plain,
( e23 != e23
| h3(e11) != e23
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_1_481,plain,
( e23 != e23
| h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_1_455,refute_1_480]) ).
cnf(refute_1_482,plain,
( e23 != e23
| h3(e11) = e21
| h3(e11) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_1_481,refute_1_479]) ).
cnf(refute_1_483,plain,
( h3(e11) = e21
| h3(e11) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_322,refute_1_482]) ).
cnf(refute_1_484,plain,
( e22 != e22
| op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_1_485,plain,
( e22 != e22
| e22 = op2(e22,e23)
| h3(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_1_483,refute_1_484]) ).
cnf(refute_1_486,plain,
( e22 != e22
| h3(e11) = e21
| h3(e11) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_1_485,refute_1_475]) ).
cnf(refute_1_487,plain,
( h3(e11) = e21
| h3(e11) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_317,refute_1_486]) ).
cnf(refute_1_488,plain,
( h3(e11) != e21
| h3(e11) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(e21)]]) ).
cnf(refute_1_489,plain,
( h3(e11) != e23
| e21 = e23
| h3(e11) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_487,refute_1_488]) ).
cnf(refute_1_490,plain,
( e21 = e23
| h3(e10) = e20
| h3(e11) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_1_464,refute_1_489]) ).
cnf(refute_1_491,plain,
( h3(e10) = e20
| h3(e11) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_1_490,refute_1_262]) ).
cnf(refute_1_492,plain,
h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20))),
inference(canonicalize,[],[normalize_1_80]) ).
cnf(refute_1_493,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = h1(e10) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(op2(e20,e20),op2(e20,e20))))]]) ).
cnf(refute_1_494,plain,
op2(op2(e20,e20),op2(e20,e20)) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_1_331,refute_1_493]) ).
cnf(refute_1_495,plain,
op2(e20,op2(op2(e20,e20),op2(e20,e20))) = op2(e20,op2(op2(e20,e20),op2(e20,e20))),
introduced(tautology,[refl,[$fot(op2(e20,op2(op2(e20,e20),op2(e20,e20))))]]) ).
cnf(refute_1_496,plain,
( op2(e20,op2(op2(e20,e20),op2(e20,e20))) != op2(e20,op2(op2(e20,e20),op2(e20,e20)))
| op2(op2(e20,e20),op2(e20,e20)) != h1(e10)
| op2(e20,op2(op2(e20,e20),op2(e20,e20))) = op2(e20,h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(op2(e20,e20),op2(e20,e20))),op2(e20,op2(op2(e20,e20),op2(e20,e20)))) ),[1,1],$fot(h1(e10))]]) ).
cnf(refute_1_497,plain,
( op2(op2(e20,e20),op2(e20,e20)) != h1(e10)
| op2(e20,op2(op2(e20,e20),op2(e20,e20))) = op2(e20,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(op2(e20,e20),op2(e20,e20))),op2(e20,op2(op2(e20,e20),op2(e20,e20)))) )],[refute_1_495,refute_1_496]) ).
cnf(refute_1_498,plain,
op2(e20,op2(op2(e20,e20),op2(e20,e20))) = op2(e20,h1(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),h1(e10)) )],[refute_1_494,refute_1_497]) ).
cnf(refute_1_499,plain,
( h1(e12) != op2(e20,op2(op2(e20,e20),op2(e20,e20)))
| op2(e20,op2(op2(e20,e20),op2(e20,e20))) != op2(e20,h1(e10))
| h1(e12) = op2(e20,h1(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e12),op2(e20,h1(e10))) ),[0],$fot(op2(e20,op2(op2(e20,e20),op2(e20,e20))))]]) ).
cnf(refute_1_500,plain,
( h1(e12) != op2(e20,op2(op2(e20,e20),op2(e20,e20)))
| h1(e12) = op2(e20,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(op2(e20,e20),op2(e20,e20))),op2(e20,h1(e10))) )],[refute_1_498,refute_1_499]) ).
cnf(refute_1_501,plain,
h1(e12) = op2(e20,h1(e10)),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,op2(op2(e20,e20),op2(e20,e20)))) )],[refute_1_492,refute_1_500]) ).
cnf(refute_1_502,plain,
( h1(e10) != e21
| h1(e12) != op2(e20,h1(e10))
| h1(e12) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),op2(e20,h1(e10))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_503,plain,
( h1(e12) != op2(e20,h1(e10))
| h1(e12) = op2(e20,e21)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_1_385,refute_1_502]) ).
cnf(refute_1_504,plain,
( h1(e12) = op2(e20,e21)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,h1(e10))) )],[refute_1_501,refute_1_503]) ).
cnf(refute_1_505,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_1_81]) ).
cnf(refute_1_506,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_1_82]) ).
cnf(refute_1_507,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_1_506,refute_1_254]) ).
cnf(refute_1_508,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_1_83]) ).
cnf(refute_1_509,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_1_510,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_130,refute_1_509]) ).
cnf(refute_1_511,plain,
( e21 != e21
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_510,refute_1_508]) ).
cnf(refute_1_512,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_1_513,plain,
op2(e23,e21) = e23,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_512,refute_1_511]) ).
cnf(refute_1_514,plain,
( op2(e23,e21) != e21
| op2(e23,e21) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e23)]]) ).
cnf(refute_1_515,plain,
( op2(e23,e21) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_1_513,refute_1_514]) ).
cnf(refute_1_516,plain,
( e23 = e21
| h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_1_507,refute_1_515]) ).
cnf(refute_1_517,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_1_518,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_1_517,refute_1_262]) ).
cnf(refute_1_519,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_1_516,refute_1_518]) ).
cnf(refute_1_520,plain,
( e20 = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_1_519,refute_1_265]) ).
cnf(refute_1_521,plain,
( op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_520,refute_1_267]) ).
cnf(refute_1_522,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(canonicalize,[],[normalize_1_84]) ).
cnf(refute_1_523,plain,
( h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_1_522,refute_1_274]) ).
cnf(refute_1_524,plain,
( op2(e23,e21) != e22
| op2(e23,e21) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e22) ),[0],$fot(e23)]]) ).
cnf(refute_1_525,plain,
( op2(e23,e21) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_1_513,refute_1_524]) ).
cnf(refute_1_526,plain,
( e23 = e22
| h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_1_523,refute_1_525]) ).
cnf(refute_1_527,plain,
( h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_1_526,refute_1_312]) ).
cnf(refute_1_528,plain,
( e20 = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_1_527,refute_1_282]) ).
cnf(refute_1_529,plain,
( op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_528,refute_1_284]) ).
cnf(refute_1_530,plain,
( op2(e22,e21) != e21
| op2(e22,e21) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[0],$fot(e22)]]) ).
cnf(refute_1_531,plain,
( op2(e22,e21) != e21
| e22 = e21
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_1_529,refute_1_530]) ).
cnf(refute_1_532,plain,
( e22 = e21
| op2(e20,e21) = e21
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_1_521,refute_1_531]) ).
cnf(refute_1_533,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_1_532,refute_1_362]) ).
cnf(refute_1_534,plain,
( e21 != op2(e20,e22)
| op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_1_535,plain,
( e21 != op2(e20,e22)
| op2(e20,e21) = e22
| op2(e20,e21) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_1_533,refute_1_534]) ).
cnf(refute_1_536,plain,
( e21 != op2(e20,e22)
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_1_535,refute_1_505]) ).
cnf(refute_1_537,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_1_85]) ).
cnf(refute_1_538,plain,
( h3(e11) = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_1_537,refute_1_440]) ).
cnf(refute_1_539,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_86]) ).
cnf(refute_1_540,plain,
( op2(e23,e22) != e21
| op2(e23,e23) != e21
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_1_541,plain,
( op2(e23,e22) != e21
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_130,refute_1_540]) ).
cnf(refute_1_542,plain,
op2(e23,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_1_541,refute_1_539]) ).
cnf(refute_1_543,plain,
( h3(e11) = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_1_538,refute_1_542]) ).
cnf(refute_1_544,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_1_87]) ).
cnf(refute_1_545,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_1_546,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_1_302,refute_1_545]) ).
cnf(refute_1_547,plain,
e21 != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_1_546,refute_1_544]) ).
cnf(refute_1_548,plain,
( op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(op2(e21,e22))),bind(Y,$fot(e21))]]) ).
cnf(refute_1_549,plain,
op2(e21,e22) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_1_548,refute_1_547]) ).
cnf(refute_1_550,plain,
( h3(e11) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_1_543,refute_1_549]) ).
cnf(refute_1_551,plain,
( e21 != e21
| op2(e20,e22) != e21
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_1_552,plain,
( e21 != e21
| e21 = op2(e20,e22)
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_1_550,refute_1_551]) ).
cnf(refute_1_553,plain,
( e21 != e21
| h3(e11) = e21
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_1_552,refute_1_536]) ).
cnf(refute_1_554,plain,
( h3(e11) = e21
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_512,refute_1_553]) ).
cnf(refute_1_555,plain,
( h1(e12) != op2(e20,e21)
| op2(e20,e21) != e22
| h1(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e12),e22) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_1_556,plain,
( h1(e12) != op2(e20,e21)
| h1(e12) = e22
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_1_554,refute_1_555]) ).
cnf(refute_1_557,plain,
( h1(e12) = e22
| h3(e11) = e21
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,e21)) )],[refute_1_504,refute_1_556]) ).
cnf(refute_1_558,plain,
( h3(e11) != e21
| h3(e11) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[0],$fot(e21)]]) ).
cnf(refute_1_559,plain,
( h3(e11) != e22
| e21 = e22
| h1(e12) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_557,refute_1_558]) ).
cnf(refute_1_560,plain,
( e21 = e22
| h1(e12) = e22
| h3(e10) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_1_491,refute_1_559]) ).
cnf(refute_1_561,plain,
( h1(e12) = e22
| h3(e10) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_560,refute_1_364]) ).
cnf(refute_1_562,plain,
( h3(e10) != e20
| h3(e12) != op2(e22,h3(e10))
| h3(e12) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e12),op2(e22,h3(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_563,plain,
( h3(e12) != op2(e22,h3(e10))
| h1(e12) = e22
| h3(e12) = op2(e22,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_561,refute_1_562]) ).
cnf(refute_1_564,plain,
( h1(e12) = e22
| h3(e12) = op2(e22,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,h3(e10))) )],[refute_1_400,refute_1_563]) ).
cnf(refute_1_565,plain,
op2(e20,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_1_88]) ).
cnf(refute_1_566,plain,
( h1(e11) != op2(e22,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_1_567,plain,
( h1(e11) != op2(e22,e20)
| op2(e20,e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_566]) ).
cnf(refute_1_568,plain,
h1(e11) != op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e22,e20)) )],[refute_1_567,refute_1_565]) ).
cnf(refute_1_569,plain,
( e23 != op2(e22,e20)
| h1(e11) != e23
| h1(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_1_570,plain,
( e23 != op2(e22,e20)
| h1(e11) = op2(e22,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_376,refute_1_569]) ).
cnf(refute_1_571,plain,
( e23 != op2(e22,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e22,e20)) )],[refute_1_570,refute_1_568]) ).
cnf(refute_1_572,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(canonicalize,[],[normalize_1_89]) ).
cnf(refute_1_573,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_1_572,refute_1_453]) ).
cnf(refute_1_574,plain,
op2(e21,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_1_90]) ).
cnf(refute_1_575,plain,
( e21 != op2(e22,e20)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_1_576,plain,
( e21 != op2(e22,e20)
| op2(e21,e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_1_302,refute_1_575]) ).
cnf(refute_1_577,plain,
e21 != op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e22,e20)) )],[refute_1_576,refute_1_574]) ).
cnf(refute_1_578,plain,
( op2(e22,e20) != e21
| e21 = op2(e22,e20) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(op2(e22,e20))),bind(Y,$fot(e21))]]) ).
cnf(refute_1_579,plain,
op2(e22,e20) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e20)) )],[refute_1_578,refute_1_577]) ).
cnf(refute_1_580,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_1_573,refute_1_579]) ).
cnf(refute_1_581,plain,
( e23 != e23
| op2(e22,e20) != e23
| e23 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e22,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_1_582,plain,
( e23 != e23
| e23 = op2(e22,e20)
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_1_580,refute_1_581]) ).
cnf(refute_1_583,plain,
( e23 != e23
| op2(e22,e20) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e20)) )],[refute_1_582,refute_1_571]) ).
cnf(refute_1_584,plain,
( op2(e22,e20) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_322,refute_1_583]) ).
cnf(refute_1_585,plain,
( h3(e12) != op2(e22,e20)
| op2(e22,e20) != e20
| h3(e12) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),e20) ),[0],$fot(op2(e22,e20))]]) ).
cnf(refute_1_586,plain,
( h3(e12) != op2(e22,e20)
| h3(e12) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_1_584,refute_1_585]) ).
cnf(refute_1_587,plain,
( h1(e12) = e22
| h3(e12) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e20)) )],[refute_1_564,refute_1_586]) ).
cnf(refute_1_588,plain,
( h3(e12) != e20
| h3(e12) != h3(e11)
| e20 = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e12),h3(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_1_589,plain,
( h3(e12) != h3(e11)
| e20 = h3(e11)
| h1(e12) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h3(e12),e20) )],[refute_1_587,refute_1_588]) ).
cnf(refute_1_590,plain,
( e20 = h3(e11)
| h1(e11) = e20
| h1(e12) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h3(e12),h3(e11)) )],[refute_1_434,refute_1_589]) ).
cnf(refute_1_591,plain,
( e20 != h3(e11)
| h3(e11) = e20 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e20)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_1_592,plain,
e20 != h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_1_591,refute_1_454]) ).
cnf(refute_1_593,plain,
( h1(e11) = e20
| h1(e12) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e20,h3(e11)) )],[refute_1_590,refute_1_592]) ).
cnf(refute_1_594,plain,
( e22 != e22
| h1(e12) != e22
| h1(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e22) ),[1],$fot(e22)]]) ).
cnf(refute_1_595,plain,
( e22 != e22
| h1(e11) = e20
| h1(e12) = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e12),e22) )],[refute_1_593,refute_1_594]) ).
cnf(refute_1_596,plain,
( e22 != e22
| ~ definitionFOFtoCNF_13
| h1(e11) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e12),e22) )],[refute_1_595,refute_1_389]) ).
cnf(refute_1_597,plain,
( ~ definitionFOFtoCNF_13
| h1(e11) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_317,refute_1_596]) ).
cnf(refute_1_598,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e20
| h1(e10) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_599,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(e20,h1(e11))
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_220,refute_1_598]) ).
cnf(refute_1_600,plain,
( h1(e10) = op2(e20,h1(e11))
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_1_345,refute_1_599]) ).
cnf(refute_1_601,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e11) != e20
| h1(e10) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_602,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = op2(e20,e20)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_220,refute_1_601]) ).
cnf(refute_1_603,plain,
( h1(e10) = op2(e20,e20)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_1_600,refute_1_602]) ).
cnf(refute_1_604,plain,
( h1(e10) != op2(e20,e20)
| op2(e20,e20) != h1(e11)
| h1(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h1(e11)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_1_605,plain,
( h1(e10) != op2(e20,e20)
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_604]) ).
cnf(refute_1_606,plain,
( h1(e10) = h1(e11)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e20)) )],[refute_1_603,refute_1_605]) ).
cnf(refute_1_607,plain,
( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22
| definitionFOFtoCNF_13 ),
inference(canonicalize,[],[normalize_1_91]) ).
cnf(refute_1_608,plain,
h1(e13) = e20,
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_609,plain,
( h1(e13) != e20
| h1(e13) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[0],$fot(e20)]]) ).
cnf(refute_1_610,plain,
( h1(e13) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_1_608,refute_1_609]) ).
cnf(refute_1_611,plain,
( e20 = e22
| h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_1_607,refute_1_610]) ).
cnf(refute_1_612,plain,
( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_611,refute_1_284]) ).
cnf(refute_1_613,plain,
( h1(e10) = e22
| h1(e12) = e22
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_1_612,refute_1_206]) ).
cnf(refute_1_614,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = h1(e11)
| h1(e10) = op2(e23,h1(e11)) ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_606,refute_1_377]) ).
cnf(refute_1_615,plain,
( h1(e10) = h1(e11)
| h1(e10) = op2(e23,h1(e11)) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_1_345,refute_1_614]) ).
cnf(refute_1_616,plain,
( h1(e10) != op2(e23,h1(e11))
| h1(e10) = h1(e11)
| h1(e10) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_606,refute_1_380]) ).
cnf(refute_1_617,plain,
( h1(e10) = h1(e11)
| h1(e10) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,h1(e11))) )],[refute_1_615,refute_1_616]) ).
cnf(refute_1_618,plain,
( h1(e10) = e21
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,e23)) )],[refute_1_617,refute_1_384]) ).
cnf(refute_1_619,plain,
( h1(e10) != h1(e11)
| h1(e11) = h1(e10) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(h1(e10))),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_1_620,plain,
( h1(e10) = e21
| h1(e11) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e11)) )],[refute_1_618,refute_1_619]) ).
cnf(refute_1_621,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != h1(e10)
| h1(e10) = op2(h1(e11),h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,1],$fot(h1(e10))]]) ).
cnf(refute_1_622,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = e21
| h1(e10) = op2(h1(e11),h1(e10)) ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_1_620,refute_1_621]) ).
cnf(refute_1_623,plain,
( h1(e10) = e21
| h1(e10) = op2(h1(e11),h1(e10)) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_1_345,refute_1_622]) ).
cnf(refute_1_624,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(e23,h1(e11))
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_220,refute_1_377]) ).
cnf(refute_1_625,plain,
( h1(e10) = op2(e23,h1(e11))
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_1_345,refute_1_624]) ).
cnf(refute_1_626,plain,
( h1(e10) != op2(e23,h1(e11))
| h1(e10) = op2(e23,e23)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_220,refute_1_380]) ).
cnf(refute_1_627,plain,
( h1(e10) = op2(e23,e23)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,h1(e11))) )],[refute_1_625,refute_1_626]) ).
cnf(refute_1_628,plain,
( h1(e10) = e21
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,e23)) )],[refute_1_627,refute_1_384]) ).
cnf(refute_1_629,plain,
( h1(e10) != op2(h1(e11),h1(e10))
| h1(e11) != e20
| h1(e10) = op2(e20,h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_630,plain,
( h1(e10) != op2(h1(e11),h1(e10))
| h1(e10) = e21
| h1(e10) = op2(e20,h1(e10)) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_628,refute_1_629]) ).
cnf(refute_1_631,plain,
( h1(e10) = e21
| h1(e10) = op2(e20,h1(e10)) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e10))) )],[refute_1_623,refute_1_630]) ).
cnf(refute_1_632,plain,
( h1(e12) != op2(e20,h1(e10))
| op2(e20,h1(e10)) = h1(e12) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(h1(e12))),bind(Y,$fot(op2(e20,h1(e10))))]]) ).
cnf(refute_1_633,plain,
op2(e20,h1(e10)) = h1(e12),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,h1(e10))) )],[refute_1_501,refute_1_632]) ).
cnf(refute_1_634,plain,
( h1(e10) != op2(e20,h1(e10))
| op2(e20,h1(e10)) != h1(e12)
| h1(e10) = h1(e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h1(e12)) ),[0],$fot(op2(e20,h1(e10)))]]) ).
cnf(refute_1_635,plain,
( h1(e10) != op2(e20,h1(e10))
| h1(e10) = h1(e12) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e10)),h1(e12)) )],[refute_1_633,refute_1_634]) ).
cnf(refute_1_636,plain,
( h1(e10) = e21
| h1(e10) = h1(e12) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e10))) )],[refute_1_631,refute_1_635]) ).
cnf(refute_1_637,plain,
( h1(e10) != h1(e12)
| h1(e12) = h1(e10) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(h1(e10))),bind(Y,$fot(h1(e12)))]]) ).
cnf(refute_1_638,plain,
( h1(e10) = e21
| h1(e12) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e12)) )],[refute_1_636,refute_1_637]) ).
cnf(refute_1_639,plain,
( h1(e12) != e22
| h1(e12) != h1(e10)
| h1(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e22) ),[0],$fot(h1(e10))]]) ).
cnf(refute_1_640,plain,
( h1(e12) != e22
| h1(e10) = e21
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(h1(e12),h1(e10)) )],[refute_1_638,refute_1_639]) ).
cnf(refute_1_641,plain,
( h1(e10) = e21
| h1(e10) = e22
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h1(e12),e22) )],[refute_1_613,refute_1_640]) ).
cnf(refute_1_642,plain,
( h1(e10) != e22
| h1(e11) != h1(e10)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),h1(e10)) ),[1],$fot(e22)]]) ).
cnf(refute_1_643,plain,
( h1(e10) != e22
| h1(e10) = e21
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_1_620,refute_1_642]) ).
cnf(refute_1_644,plain,
( h1(e10) != e22
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_1_643,refute_1_206]) ).
cnf(refute_1_645,plain,
( h1(e10) != e21
| h1(e10) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e21) ),[0],$fot(e22)]]) ).
cnf(refute_1_646,plain,
( h1(e10) != e22
| e22 = e21 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_1_644,refute_1_645]) ).
cnf(refute_1_647,plain,
h1(e10) != e22,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_1_646,refute_1_362]) ).
cnf(refute_1_648,plain,
( h1(e10) = e21
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_1_641,refute_1_647]) ).
cnf(refute_1_649,plain,
( h1(e10) != e21
| h1(e10) != h1(e11)
| e21 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),h1(e11)) ),[0],$fot(e21)]]) ).
cnf(refute_1_650,plain,
( h1(e10) != h1(e11)
| e21 = h1(e11)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_1_648,refute_1_649]) ).
cnf(refute_1_651,plain,
( e21 = h1(e11)
| h1(e11) = e23
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e11)) )],[refute_1_606,refute_1_650]) ).
cnf(refute_1_652,plain,
( e21 != h1(e11)
| h1(e11) = e21 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e21)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_1_653,plain,
e21 != h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_1_652,refute_1_219]) ).
cnf(refute_1_654,plain,
( h1(e11) = e23
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(e21,h1(e11)) )],[refute_1_651,refute_1_653]) ).
cnf(refute_1_655,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e23
| h1(e10) = op2(h1(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_656,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),e23)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_654,refute_1_655]) ).
cnf(refute_1_657,plain,
( h1(e10) = op2(h1(e11),e23)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_1_345,refute_1_656]) ).
cnf(refute_1_658,plain,
( h1(e10) != e21
| h1(e10) != op2(h1(e11),e23)
| e21 = op2(h1(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),e23)) ),[0],$fot(e21)]]) ).
cnf(refute_1_659,plain,
( h1(e10) != op2(h1(e11),e23)
| e21 = op2(h1(e11),e23)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_1_648,refute_1_658]) ).
cnf(refute_1_660,plain,
( e21 = op2(h1(e11),e23)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e23)) )],[refute_1_657,refute_1_659]) ).
cnf(refute_1_661,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_1_92]) ).
cnf(refute_1_662,plain,
op1(e10,e11) != op1(e12,e11),
inference(canonicalize,[],[normalize_1_93]) ).
cnf(refute_1_663,plain,
( op1(e12,e12) != e11
| op1(e12,e11) = e12 ),
inference(canonicalize,[],[normalize_1_94]) ).
cnf(refute_1_664,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(canonicalize,[],[normalize_1_96]) ).
cnf(refute_1_665,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_1_97]) ).
cnf(refute_1_666,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_1_667,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_28,refute_1_666]) ).
cnf(refute_1_668,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_1_667,refute_1_665]) ).
cnf(refute_1_669,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_1_664,refute_1_668]) ).
cnf(refute_1_670,plain,
( op1(e12,e11) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_1_669,refute_1_56]) ).
cnf(refute_1_671,plain,
( e11 != e11
| op1(e12,e12) != e11
| op1(e12,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_1_672,plain,
( e11 != e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_1_670,refute_1_671]) ).
cnf(refute_1_673,plain,
( e11 != e11
| op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_1_672,refute_1_663]) ).
cnf(refute_1_674,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_1_675,plain,
( op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_674,refute_1_673]) ).
cnf(refute_1_676,plain,
( op1(e10,e11) != e11
| op1(e12,e11) != e11
| op1(e10,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e12,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_1_677,plain,
( op1(e10,e11) != e11
| op1(e10,e11) = op1(e12,e11)
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_1_675,refute_1_676]) ).
cnf(refute_1_678,plain,
( op1(e10,e11) != e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e11)) )],[refute_1_677,refute_1_662]) ).
cnf(refute_1_679,plain,
h4(op1(e10,e11)) != op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_1_98]) ).
cnf(refute_1_680,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_1_99]) ).
cnf(refute_1_681,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_1_682,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_130,refute_1_681]) ).
cnf(refute_1_683,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_1_680,refute_1_682]) ).
cnf(refute_1_684,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_1_685,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) != op2(e20,h4(e11))
| op2(e20,h4(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_686,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_1_684,refute_1_685]) ).
cnf(refute_1_687,plain,
op2(e20,h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_1_683,refute_1_686]) ).
cnf(refute_1_688,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_1_689,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_690,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_1_688,refute_1_689]) ).
cnf(refute_1_691,plain,
op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_71,refute_1_690]) ).
cnf(refute_1_692,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_1_38:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_1_693,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_1_691,refute_1_692]) ).
cnf(refute_1_694,plain,
op2(h4(e10),h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_1_687,refute_1_693]) ).
cnf(refute_1_695,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_1_696,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_1_694,refute_1_695]) ).
cnf(refute_1_697,plain,
h4(op1(e10,e11)) != op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_1_696,refute_1_679]) ).
cnf(refute_1_698,plain,
( h1(e12) != op2(e20,h1(e10))
| h1(e12) = op2(e20,e21)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_1_648,refute_1_502]) ).
cnf(refute_1_699,plain,
( h1(e12) = op2(e20,e21)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,h1(e10))) )],[refute_1_501,refute_1_698]) ).
cnf(refute_1_700,plain,
( h1(e12) != e22
| h1(e12) != op2(e20,e21)
| e22 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),op2(e20,e21)) ),[0],$fot(e22)]]) ).
cnf(refute_1_701,plain,
( h1(e12) != op2(e20,e21)
| e22 = op2(e20,e21)
| h1(e10) = e22
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h1(e12),e22) )],[refute_1_613,refute_1_700]) ).
cnf(refute_1_702,plain,
( e22 = op2(e20,e21)
| h1(e10) = e22
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,e21)) )],[refute_1_699,refute_1_701]) ).
cnf(refute_1_703,plain,
( e22 = op2(e20,e21)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_1_702,refute_1_647]) ).
cnf(refute_1_704,plain,
( e22 != op2(e20,e21)
| op2(e20,e21) = e22 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_1_705,plain,
( op2(e20,e21) = e22
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_1_703,refute_1_704]) ).
cnf(refute_1_706,plain,
( h4(op1(e10,e11)) != e22
| op2(e20,e21) != e22
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_1_707,plain,
( h4(op1(e10,e11)) != e22
| h4(op1(e10,e11)) = op2(e20,e21)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_1_705,refute_1_706]) ).
cnf(refute_1_708,plain,
( h4(op1(e10,e11)) != e22
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_1_707,refute_1_697]) ).
cnf(refute_1_709,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(canonicalize,[],[normalize_1_100]) ).
cnf(refute_1_710,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_1_101]) ).
cnf(refute_1_711,plain,
( e11 != e11
| op1(e13,e13) != e11
| op1(e13,e13) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).
cnf(refute_1_712,plain,
( e11 != e11
| op1(e13,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_28,refute_1_711]) ).
cnf(refute_1_713,plain,
( e11 != e11
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_712,refute_1_710]) ).
cnf(refute_1_714,plain,
op1(e13,e11) = e13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_674,refute_1_713]) ).
cnf(refute_1_715,plain,
( op1(e13,e11) != e12
| op1(e13,e11) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(e13)]]) ).
cnf(refute_1_716,plain,
( op1(e13,e11) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_1_714,refute_1_715]) ).
cnf(refute_1_717,plain,
( e13 = e12
| op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_1_709,refute_1_716]) ).
cnf(refute_1_718,plain,
e12 != e13,
inference(canonicalize,[],[normalize_1_103]) ).
cnf(refute_1_719,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_1_720,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_1_719,refute_1_718]) ).
cnf(refute_1_721,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_1_717,refute_1_720]) ).
cnf(refute_1_722,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_1_723,plain,
( op1(e11,e11) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_1_46,refute_1_722]) ).
cnf(refute_1_724,plain,
( e10 = e12
| op1(e10,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_1_721,refute_1_723]) ).
cnf(refute_1_725,plain,
e10 != e12,
inference(canonicalize,[],[normalize_1_104]) ).
cnf(refute_1_726,plain,
( op1(e10,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_1_724,refute_1_725]) ).
cnf(refute_1_727,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_1_105]) ).
cnf(refute_1_728,plain,
( op1(e10,e12) != e11
| op1(e12,e12) != e11
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_1_729,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e12,e12)
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_1_670,refute_1_728]) ).
cnf(refute_1_730,plain,
( op1(e10,e12) != e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_1_729,refute_1_727]) ).
cnf(refute_1_731,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(canonicalize,[],[normalize_1_106]) ).
cnf(refute_1_732,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_1_107]) ).
cnf(refute_1_733,plain,
( op1(e10,e13) != e11
| op1(e13,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_1_734,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_28,refute_1_733]) ).
cnf(refute_1_735,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_1_734,refute_1_732]) ).
cnf(refute_1_736,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_1_731,refute_1_735]) ).
cnf(refute_1_737,plain,
( op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_736,refute_1_100]) ).
cnf(refute_1_738,plain,
( e11 != e11
| op1(e10,e12) != e11
| op1(e10,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_1_739,plain,
( e11 != e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_1_737,refute_1_738]) ).
cnf(refute_1_740,plain,
( e11 != e11
| op1(e10,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_1_739,refute_1_730]) ).
cnf(refute_1_741,plain,
( op1(e10,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_674,refute_1_740]) ).
cnf(refute_1_742,plain,
( op1(e12,e11) != e11
| op1(e12,e11) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0],$fot(e11)]]) ).
cnf(refute_1_743,plain,
( op1(e12,e11) != e12
| e11 = e12
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_1_741,refute_1_742]) ).
cnf(refute_1_744,plain,
( e11 = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_1_726,refute_1_743]) ).
cnf(refute_1_745,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_1_108]) ).
cnf(refute_1_746,plain,
( e12 != op1(e13,e13)
| op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(op1(e13,e13))]]) ).
cnf(refute_1_747,plain,
( e12 != op1(e13,e13)
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_1_19,refute_1_746]) ).
cnf(refute_1_748,plain,
( e12 != e11
| op1(e13,e13) != e11
| e12 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_1_749,plain,
( e12 != e11
| e12 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_28,refute_1_748]) ).
cnf(refute_1_750,plain,
( e12 != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_1_749,refute_1_747]) ).
cnf(refute_1_751,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_1_750,refute_1_745]) ).
cnf(refute_1_752,plain,
( e11 != e12
| e12 = e11 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e11)),bind(Y,$fot(e12))]]) ).
cnf(refute_1_753,plain,
e11 != e12,
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_1_752,refute_1_751]) ).
cnf(refute_1_754,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_1_744,refute_1_753]) ).
cnf(refute_1_755,plain,
( h4(e12) != e22
| op1(e10,e11) != e12
| h4(op1(e10,e11)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),e22) ),[0,0],$fot(e12)]]) ).
cnf(refute_1_756,plain,
( h4(e12) != e22
| h4(op1(e10,e11)) = e22
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_1_754,refute_1_755]) ).
cnf(refute_1_757,plain,
( h4(e12) != e22
| op1(e10,e11) = e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e22) )],[refute_1_756,refute_1_708]) ).
cnf(refute_1_758,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_1_109]) ).
cnf(refute_1_759,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(subst,[],[refute_1_38:[bind(X,$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(e22))]]) ).
cnf(refute_1_760,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_1_197,refute_1_759]) ).
cnf(refute_1_761,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22,
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_202,refute_1_760]) ).
cnf(refute_1_762,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_1_763,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),e22) )],[refute_1_761,refute_1_762]) ).
cnf(refute_1_764,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_1_758,refute_1_763]) ).
cnf(refute_1_765,plain,
( e22 != e22
| h4(e12) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[1],$fot(e22)]]) ).
cnf(refute_1_766,plain,
( e22 != e22
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_1_764,refute_1_765]) ).
cnf(refute_1_767,plain,
( e22 != e22
| op1(e10,e11) = e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_1_766,refute_1_757]) ).
cnf(refute_1_768,plain,
( op1(e10,e11) = e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_317,refute_1_767]) ).
cnf(refute_1_769,plain,
( e11 != e11
| op1(e10,e11) != e11
| op1(e10,e11) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_1_770,plain,
( e11 != e11
| op1(e10,e11) = e11
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_768,refute_1_769]) ).
cnf(refute_1_771,plain,
( e11 != e11
| op1(e12,e11) = e12
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_770,refute_1_678]) ).
cnf(refute_1_772,plain,
( op1(e12,e11) = e12
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_674,refute_1_771]) ).
cnf(refute_1_773,plain,
( e12 != op1(e12,e12)
| op1(e12,e11) != e12
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_1_774,plain,
( e12 != op1(e12,e12)
| op1(e12,e11) = op1(e12,e12)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_1_772,refute_1_773]) ).
cnf(refute_1_775,plain,
( e12 != op1(e12,e12)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_1_774,refute_1_661]) ).
cnf(refute_1_776,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_1_110]) ).
cnf(refute_1_777,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_1_778,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_28,refute_1_777]) ).
cnf(refute_1_779,plain,
( e11 = e13
| op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_1_776,refute_1_778]) ).
cnf(refute_1_780,plain,
e11 != e13,
inference(canonicalize,[],[normalize_1_111]) ).
cnf(refute_1_781,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_1_779,refute_1_780]) ).
cnf(refute_1_782,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e11) ),[0],$fot(e10)]]) ).
cnf(refute_1_783,plain,
( op1(e11,e11) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_1_46,refute_1_782]) ).
cnf(refute_1_784,plain,
( e10 = e11
| op1(e10,e10) = e10
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_1_781,refute_1_783]) ).
cnf(refute_1_785,plain,
e10 != e11,
inference(canonicalize,[],[normalize_1_112]) ).
cnf(refute_1_786,plain,
( op1(e10,e10) = e10
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_1_784,refute_1_785]) ).
cnf(refute_1_787,plain,
( e12 != e12
| op1(e12,e12) != e12
| e12 = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e12,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_1_788,plain,
( e12 != e12
| e12 = op1(e12,e12)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_1_786,refute_1_787]) ).
cnf(refute_1_789,plain,
( e12 != e12
| op1(e10,e10) = e10
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(e12,op1(e12,e12)) )],[refute_1_788,refute_1_775]) ).
cnf(refute_1_790,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_1_791,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_1_790,refute_1_789]) ).
cnf(refute_1_792,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e10
| h4(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e10)]]) ).
cnf(refute_1_793,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e10) = h1(e11)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_791,refute_1_792]) ).
cnf(refute_1_794,plain,
( h4(e10) = h1(e11)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_1_88,refute_1_793]) ).
cnf(refute_1_795,plain,
( h4(e10) != e20
| h4(e10) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h1(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_1_796,plain,
( h4(e10) != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_71,refute_1_795]) ).
cnf(refute_1_797,plain,
( e20 = h1(e11)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_1_794,refute_1_796]) ).
cnf(refute_1_798,plain,
( e20 != h1(e11)
| h1(e11) = e20 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e20)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_1_799,plain,
( h1(e11) = e20
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_1_797,refute_1_798]) ).
cnf(refute_1_800,plain,
( e21 != op2(h1(e11),e23)
| h1(e11) != e20
| e21 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(h1(e11),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_801,plain,
( e21 != op2(h1(e11),e23)
| e21 = op2(e20,e23)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_799,refute_1_800]) ).
cnf(refute_1_802,plain,
( e21 = op2(e20,e23)
| definitionFOFtoCNF_13 ),
inference(resolve,[$cnf( $equal(e21,op2(h1(e11),e23)) )],[refute_1_660,refute_1_801]) ).
cnf(refute_1_803,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_113]) ).
cnf(refute_1_804,plain,
( op2(e20,e23) != e21
| op2(e23,e23) != e21
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_1_805,plain,
( op2(e20,e23) != e21
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_130,refute_1_804]) ).
cnf(refute_1_806,plain,
op2(e20,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_1_805,refute_1_803]) ).
cnf(refute_1_807,plain,
( e21 != op2(e20,e23)
| op2(e20,e23) = e21 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_1_808,plain,
e21 != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_1_807,refute_1_806]) ).
cnf(refute_1_809,plain,
definitionFOFtoCNF_13,
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_1_802,refute_1_808]) ).
cnf(refute_1_810,plain,
( h1(e11) = e20
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( definitionFOFtoCNF_13 )],[refute_1_809,refute_1_597]) ).
cnf(refute_1_811,plain,
( e21 != op2(e23,h1(e11))
| h1(e11) != e20
| e21 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(e23,h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_812,plain,
( e21 != op2(e23,h1(e11))
| e21 = op2(e23,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_810,refute_1_811]) ).
cnf(refute_1_813,plain,
( e21 = op2(e23,e20)
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,h1(e11))) )],[refute_1_388,refute_1_812]) ).
cnf(refute_1_814,plain,
( e21 != op2(e23,e20)
| op2(e23,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e22) ),[0],$fot(op2(e23,e20))]]) ).
cnf(refute_1_815,plain,
( e21 != op2(e23,e20)
| e21 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_202,refute_1_814]) ).
cnf(refute_1_816,plain,
( e21 = e22
| definitionFOFtoCNF_15 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e20)) )],[refute_1_813,refute_1_815]) ).
cnf(refute_1_817,plain,
definitionFOFtoCNF_15,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_816,refute_1_364]) ).
cnf(refute_1_818,plain,
h1(e11) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_15 )],[refute_1_817,refute_1_330]) ).
cnf(refute_1_819,plain,
( e23 != h1(e11)
| h1(e11) != e20
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_820,plain,
( e23 != h1(e11)
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_818,refute_1_819]) ).
cnf(refute_1_821,plain,
( e23 = e20
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_1_112,refute_1_820]) ).
cnf(refute_1_822,plain,
e20 != e23,
inference(canonicalize,[],[normalize_1_114]) ).
cnf(refute_1_823,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_1_824,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_823,refute_1_822]) ).
cnf(refute_1_825,plain,
op1(e12,e10) = e13,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_1_821,refute_1_824]) ).
cnf(refute_1_826,plain,
op1(e10,op1(e12,e10)) = op1(e10,op1(e12,e10)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e10)))]]) ).
cnf(refute_1_827,plain,
( op1(e10,op1(e12,e10)) != op1(e10,op1(e12,e10))
| op1(e12,e10) != e13
| op1(e10,op1(e12,e10)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e10)),op1(e10,op1(e12,e10))) ),[1,1],$fot(e13)]]) ).
cnf(refute_1_828,plain,
( op1(e12,e10) != e13
| op1(e10,op1(e12,e10)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e10)),op1(e10,op1(e12,e10))) )],[refute_1_826,refute_1_827]) ).
cnf(refute_1_829,plain,
op1(e10,op1(e12,e10)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_1_825,refute_1_828]) ).
cnf(refute_1_830,plain,
( op1(e10,e13) != op1(e12,e10)
| op1(e10,op1(e12,e10)) != op1(e10,e13)
| op1(e10,op1(e12,e10)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e10)),op1(e10,e13)) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_1_831,plain,
( op1(e10,e13) != op1(e12,e10)
| op1(e10,op1(e12,e10)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e10)),op1(e10,e13)) )],[refute_1_829,refute_1_830]) ).
cnf(refute_1_832,plain,
( op1(e10,e13) != e13
| op1(e12,e10) != e13
| op1(e10,e13) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_1_833,plain,
( op1(e10,e13) != e13
| op1(e10,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_1_825,refute_1_832]) ).
cnf(refute_1_834,plain,
( op1(e10,e13) != e13
| op1(e10,op1(e12,e10)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e10)) )],[refute_1_833,refute_1_831]) ).
cnf(refute_1_835,plain,
( op1(e10,e13) != e13
| ~ definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e10)),op1(e12,e10)) )],[refute_1_834,refute_1_0]) ).
cnf(refute_1_836,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_1_115]) ).
cnf(refute_1_837,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_1_116]) ).
cnf(refute_1_838,plain,
( e23 = e20
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_1_108,refute_1_820]) ).
cnf(refute_1_839,plain,
op1(e10,e10) = e10,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_1_838,refute_1_824]) ).
cnf(refute_1_840,plain,
( e10 != op1(e10,e13)
| op1(e10,e10) != e10
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[1],$fot(op1(e10,e13))]]) ).
cnf(refute_1_841,plain,
( e10 != op1(e10,e13)
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_839,refute_1_840]) ).
cnf(refute_1_842,plain,
e10 != op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_1_841,refute_1_837]) ).
cnf(refute_1_843,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_1_117]) ).
cnf(refute_1_844,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_1_843,refute_1_735]) ).
cnf(refute_1_845,plain,
( e10 != e10
| op1(e10,e13) != e10
| e10 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e10,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_1_846,plain,
( e10 != e10
| e10 = op1(e10,e13)
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_1_844,refute_1_845]) ).
cnf(refute_1_847,plain,
( e10 != e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(e10,op1(e10,e13)) )],[refute_1_846,refute_1_842]) ).
cnf(refute_1_848,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_1_50,refute_1_847]) ).
cnf(refute_1_849,plain,
( op1(e10,e12) != e12
| op1(e10,e13) != e12
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_1_850,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e10,e13)
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_1_848,refute_1_849]) ).
cnf(refute_1_851,plain,
( op1(e10,e12) != e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_1_850,refute_1_836]) ).
cnf(refute_1_852,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_1_118]) ).
cnf(refute_1_853,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_1_119]) ).
cnf(refute_1_854,plain,
( e12 != op1(e13,e12)
| op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_1_855,plain,
( e12 != op1(e13,e12)
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_1_19,refute_1_854]) ).
cnf(refute_1_856,plain,
e12 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_1_855,refute_1_853]) ).
cnf(refute_1_857,plain,
( op1(e13,e12) != e12
| e12 = op1(e13,e12) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e12))]]) ).
cnf(refute_1_858,plain,
op1(e13,e12) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e12)) )],[refute_1_857,refute_1_856]) ).
cnf(refute_1_859,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_1_852,refute_1_858]) ).
cnf(refute_1_860,plain,
( h4(op1(e10,e11)) != e22
| h3(e11) = e21
| h4(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_1_554,refute_1_706]) ).
cnf(refute_1_861,plain,
( h4(op1(e10,e11)) != e22
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_1_860,refute_1_697]) ).
cnf(refute_1_862,plain,
( h4(e12) != e22
| h3(e11) = e21
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e22) )],[refute_1_756,refute_1_861]) ).
cnf(refute_1_863,plain,
( e22 != e22
| h3(e11) = e21
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_1_766,refute_1_862]) ).
cnf(refute_1_864,plain,
( h3(e11) = e21
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_317,refute_1_863]) ).
cnf(refute_1_865,plain,
( e11 != e11
| h3(e11) = e21
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_864,refute_1_769]) ).
cnf(refute_1_866,plain,
( e11 != e11
| h3(e11) = e21
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_865,refute_1_678]) ).
cnf(refute_1_867,plain,
( h3(e11) = e21
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_674,refute_1_866]) ).
cnf(refute_1_868,plain,
( e12 != op1(e12,e12)
| h3(e11) = e21
| op1(e12,e11) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_1_867,refute_1_773]) ).
cnf(refute_1_869,plain,
( e12 != op1(e12,e12)
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_1_868,refute_1_661]) ).
cnf(refute_1_870,plain,
op1(e12,e10) != op1(e12,e12),
inference(canonicalize,[],[normalize_1_120]) ).
cnf(refute_1_871,plain,
( e13 != op1(e12,e12)
| op1(e12,e10) != e13
| op1(e12,e10) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e13) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_1_872,plain,
( e13 != op1(e12,e12)
| op1(e12,e10) = e10
| op1(e12,e10) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_1_57,refute_1_871]) ).
cnf(refute_1_873,plain,
( e13 != op1(e12,e12)
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_1_872,refute_1_870]) ).
cnf(refute_1_874,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(canonicalize,[],[normalize_1_121]) ).
cnf(refute_1_875,plain,
( op1(e12,e12) != e10
| op1(e12,e10) = e12 ),
inference(canonicalize,[],[normalize_1_122]) ).
cnf(refute_1_876,plain,
op1(e12,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_1_875,refute_1_22]) ).
cnf(refute_1_877,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_1_874,refute_1_876]) ).
cnf(refute_1_878,plain,
( e13 != e13
| op1(e12,e12) != e13
| e13 = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_1_879,plain,
( e13 != e13
| e13 = op1(e12,e12)
| op1(e12,e12) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_877,refute_1_878]) ).
cnf(refute_1_880,plain,
( e13 != e13
| op1(e12,e10) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_1_879,refute_1_873]) ).
cnf(refute_1_881,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_1_882,plain,
( op1(e12,e10) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_881,refute_1_880]) ).
cnf(refute_1_883,plain,
( op1(e12,e10) != e10
| op1(e12,e10) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[0],$fot(e13)]]) ).
cnf(refute_1_884,plain,
( op1(e12,e10) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_1_825,refute_1_883]) ).
cnf(refute_1_885,plain,
( e13 = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_1_882,refute_1_884]) ).
cnf(refute_1_886,plain,
e10 != e13,
inference(canonicalize,[],[normalize_1_123]) ).
cnf(refute_1_887,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_1_888,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_1_887,refute_1_886]) ).
cnf(refute_1_889,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_1_885,refute_1_888]) ).
cnf(refute_1_890,plain,
( e12 != e12
| e12 = op1(e12,e12)
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_1_889,refute_1_787]) ).
cnf(refute_1_891,plain,
( e12 != e12
| h3(e11) = e21
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,op1(e12,e12)) )],[refute_1_890,refute_1_869]) ).
cnf(refute_1_892,plain,
( h3(e11) = e21
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_1_790,refute_1_891]) ).
cnf(refute_1_893,plain,
( h3(e11) != e21
| ~ definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_1_126]) ).
cnf(refute_1_894,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_1_127]) ).
cnf(refute_1_895,plain,
( op2(e22,e20) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_1_896,plain,
( op2(e22,e20) != h3(e11)
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_247,refute_1_895]) ).
cnf(refute_1_897,plain,
op2(e22,e20) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_1_896,refute_1_894]) ).
cnf(refute_1_898,plain,
( e20 != op2(e22,e20)
| h1(e11) != e20
| h1(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_1_899,plain,
( e20 != op2(e22,e20)
| h1(e10) = e21
| h1(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_628,refute_1_898]) ).
cnf(refute_1_900,plain,
( e20 != op2(e22,e20)
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e22,e20)) )],[refute_1_899,refute_1_568]) ).
cnf(refute_1_901,plain,
( e20 != e20
| op2(e22,e20) != e20
| e20 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_1_902,plain,
( e20 != e20
| e20 = op2(e22,e20)
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_1_580,refute_1_901]) ).
cnf(refute_1_903,plain,
( e20 != e20
| h1(e10) = e21
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e20)) )],[refute_1_902,refute_1_900]) ).
cnf(refute_1_904,plain,
( h1(e10) = e21
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_301,refute_1_903]) ).
cnf(refute_1_905,plain,
( e23 != h3(e11)
| op2(e22,e20) != e23
| op2(e22,e20) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e23) ),[1],$fot(h3(e11))]]) ).
cnf(refute_1_906,plain,
( e23 != h3(e11)
| h1(e10) = e21
| op2(e22,e20) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_1_904,refute_1_905]) ).
cnf(refute_1_907,plain,
( e23 != h3(e11)
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h3(e11)) )],[refute_1_906,refute_1_897]) ).
cnf(refute_1_908,plain,
( h3(e10) != op2(h3(e11),h3(e11))
| h3(e10) = op2(e22,h3(e11))
| h3(e11) = e21
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_1_455,refute_1_415]) ).
cnf(refute_1_909,plain,
( h3(e10) = op2(e22,h3(e11))
| h3(e11) = e21
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(h3(e11),h3(e11))) )],[refute_1_414,refute_1_908]) ).
cnf(refute_1_910,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e10) = op2(e22,e22)
| h3(e11) = e21
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_1_455,refute_1_418]) ).
cnf(refute_1_911,plain,
( h3(e10) = op2(e22,e22)
| h3(e11) = e21
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) )],[refute_1_909,refute_1_910]) ).
cnf(refute_1_912,plain,
( h3(e10) = h3(e11)
| h3(e11) = e21
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e22)) )],[refute_1_911,refute_1_422]) ).
cnf(refute_1_913,plain,
( e23 != e23
| h3(e11) != e23
| e23 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h3(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_1_914,plain,
( e23 != e23
| e23 = h3(e11)
| h3(e10) = h3(e11)
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_1_912,refute_1_913]) ).
cnf(refute_1_915,plain,
( e23 != e23
| h1(e10) = e21
| h3(e10) = h3(e11)
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(e23,h3(e11)) )],[refute_1_914,refute_1_907]) ).
cnf(refute_1_916,plain,
( h1(e10) = e21
| h3(e10) = h3(e11)
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_322,refute_1_915]) ).
cnf(refute_1_917,plain,
( e21 != e21
| h3(e11) != e21
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_1_918,plain,
( e21 != e21
| h1(e10) = e21
| h3(e10) = h3(e11)
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_916,refute_1_917]) ).
cnf(refute_1_919,plain,
( e21 != e21
| ~ definitionFOFtoCNF_17
| h1(e10) = e21
| h3(e10) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_918,refute_1_893]) ).
cnf(refute_1_920,plain,
( ~ definitionFOFtoCNF_17
| h1(e10) = e21
| h3(e10) = h3(e11) ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_512,refute_1_919]) ).
cnf(refute_1_921,plain,
( h1(e11) != e20
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = e20 ),
inference(subst,[],[refute_1_38:[bind(X,$fot(op2(e20,e20))),bind(Y,$fot(h1(e11))),bind(Z,$fot(e20))]]) ).
cnf(refute_1_922,plain,
( h1(e11) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_921]) ).
cnf(refute_1_923,plain,
op2(e20,e20) = e20,
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_818,refute_1_922]) ).
cnf(refute_1_924,plain,
op2(e20,h1(e11)) = op2(e20,h1(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h1(e11)))]]) ).
cnf(refute_1_925,plain,
( h1(e11) != e20
| op2(e20,h1(e11)) != op2(e20,h1(e11))
| op2(e20,h1(e11)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_926,plain,
( h1(e11) != e20
| op2(e20,h1(e11)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,h1(e11))) )],[refute_1_924,refute_1_925]) ).
cnf(refute_1_927,plain,
op2(e20,h1(e11)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_818,refute_1_926]) ).
cnf(refute_1_928,plain,
op2(h1(e11),h1(e11)) = op2(h1(e11),h1(e11)),
introduced(tautology,[refl,[$fot(op2(h1(e11),h1(e11)))]]) ).
cnf(refute_1_929,plain,
( h1(e11) != e20
| op2(h1(e11),h1(e11)) != op2(h1(e11),h1(e11))
| op2(h1(e11),h1(e11)) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),h1(e11)),op2(h1(e11),h1(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_930,plain,
( h1(e11) != e20
| op2(h1(e11),h1(e11)) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),h1(e11)),op2(h1(e11),h1(e11))) )],[refute_1_928,refute_1_929]) ).
cnf(refute_1_931,plain,
op2(h1(e11),h1(e11)) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_818,refute_1_930]) ).
cnf(refute_1_932,plain,
( op2(e20,h1(e11)) != op2(e20,e20)
| op2(h1(e11),h1(e11)) != op2(e20,h1(e11))
| op2(h1(e11),h1(e11)) = op2(e20,e20) ),
inference(subst,[],[refute_1_38:[bind(X,$fot(op2(h1(e11),h1(e11)))),bind(Y,$fot(op2(e20,h1(e11)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_1_933,plain,
( op2(e20,h1(e11)) != op2(e20,e20)
| op2(h1(e11),h1(e11)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),h1(e11)),op2(e20,h1(e11))) )],[refute_1_931,refute_1_932]) ).
cnf(refute_1_934,plain,
op2(h1(e11),h1(e11)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,e20)) )],[refute_1_927,refute_1_933]) ).
cnf(refute_1_935,plain,
( op2(e20,e20) != e20
| op2(h1(e11),h1(e11)) != op2(e20,e20)
| op2(h1(e11),h1(e11)) = e20 ),
inference(subst,[],[refute_1_38:[bind(X,$fot(op2(h1(e11),h1(e11)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e20))]]) ).
cnf(refute_1_936,plain,
( op2(e20,e20) != e20
| op2(h1(e11),h1(e11)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h1(e11),h1(e11)),op2(e20,e20)) )],[refute_1_934,refute_1_935]) ).
cnf(refute_1_937,plain,
op2(h1(e11),h1(e11)) = e20,
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_1_923,refute_1_936]) ).
cnf(refute_1_938,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| op2(h1(e11),h1(e11)) != e20
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e20) ),[0],$fot(op2(h1(e11),h1(e11)))]]) ).
cnf(refute_1_939,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(h1(e11),h1(e11)),e20) )],[refute_1_937,refute_1_938]) ).
cnf(refute_1_940,plain,
h1(e10) = e20,
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_1_345,refute_1_939]) ).
cnf(refute_1_941,plain,
( h1(e10) != e20
| h1(e10) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e21) ),[0],$fot(e20)]]) ).
cnf(refute_1_942,plain,
( h1(e10) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_1_940,refute_1_941]) ).
cnf(refute_1_943,plain,
( ~ definitionFOFtoCNF_17
| e20 = e21
| h3(e10) = h3(e11) ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_1_920,refute_1_942]) ).
cnf(refute_1_944,plain,
( ~ definitionFOFtoCNF_17
| h3(e10) = h3(e11) ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_943,refute_1_267]) ).
cnf(refute_1_945,plain,
( op2(e20,op2(e21,e20)) != op2(e21,e20)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_1_132]) ).
cnf(refute_1_946,plain,
op2(e20,op2(e21,e20)) = op2(e20,op2(e21,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e20)))]]) ).
cnf(refute_1_947,plain,
( op2(e20,op2(e21,e20)) != op2(e20,op2(e21,e20))
| op2(e21,e20) != e21
| op2(e20,op2(e21,e20)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,op2(e21,e20))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_948,plain,
( op2(e21,e20) != e21
| op2(e20,op2(e21,e20)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,op2(e21,e20))) )],[refute_1_946,refute_1_947]) ).
cnf(refute_1_949,plain,
op2(e20,op2(e21,e20)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_1_302,refute_1_948]) ).
cnf(refute_1_950,plain,
( op2(e20,e21) != op2(e21,e20)
| op2(e20,op2(e21,e20)) != op2(e20,e21)
| op2(e20,op2(e21,e20)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,e21)) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_1_951,plain,
( op2(e20,e21) != op2(e21,e20)
| op2(e20,op2(e21,e20)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,e21)) )],[refute_1_949,refute_1_950]) ).
cnf(refute_1_952,plain,
( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e20,e21) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e20)) ),[1],$fot(e21)]]) ).
cnf(refute_1_953,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_1_302,refute_1_952]) ).
cnf(refute_1_954,plain,
( op2(e20,e21) != e21
| op2(e20,op2(e21,e20)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e20)) )],[refute_1_953,refute_1_951]) ).
cnf(refute_1_955,plain,
( op2(e20,e21) != e21
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e21,e20)) )],[refute_1_954,refute_1_945]) ).
cnf(refute_1_956,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_1_133]) ).
cnf(refute_1_957,plain,
( op2(e20,e22) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_1_958,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_247,refute_1_957]) ).
cnf(refute_1_959,plain,
op2(e20,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_1_958,refute_1_956]) ).
cnf(refute_1_960,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(canonicalize,[],[normalize_1_134]) ).
cnf(refute_1_961,plain,
( h1(e11) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_1_960,refute_1_182]) ).
cnf(refute_1_962,plain,
( h1(e11) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_1_961,refute_1_806]) ).
cnf(refute_1_963,plain,
( op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_1_962,refute_1_219]) ).
cnf(refute_1_964,plain,
( e21 != h3(e11)
| op2(e20,e22) != e21
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(h3(e11))]]) ).
cnf(refute_1_965,plain,
( e21 != h3(e11)
| op2(e20,e21) = e21
| op2(e20,e22) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_1_963,refute_1_964]) ).
cnf(refute_1_966,plain,
( e21 != h3(e11)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_1_965,refute_1_959]) ).
cnf(refute_1_967,plain,
( e20 = e21
| h3(e10) = h3(e11)
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_1_916,refute_1_942]) ).
cnf(refute_1_968,plain,
( h3(e10) = h3(e11)
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_967,refute_1_267]) ).
cnf(refute_1_969,plain,
( h3(e11) != e23
| op2(e22,e20) != e23
| op2(e22,e20) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),h3(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_1_970,plain,
( op2(e22,e20) != e23
| h3(e10) = e20
| h3(e11) = e22
| op2(e22,e20) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_1_464,refute_1_969]) ).
cnf(refute_1_971,plain,
( op2(e22,e20) != e23
| h3(e10) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h3(e11)) )],[refute_1_970,refute_1_897]) ).
cnf(refute_1_972,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_1_135]) ).
cnf(refute_1_973,plain,
( h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_1_972,refute_1_188]) ).
cnf(refute_1_974,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0],$fot(e22)]]) ).
cnf(refute_1_975,plain,
( op2(e23,e20) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_202,refute_1_974]) ).
cnf(refute_1_976,plain,
( e22 = e23
| h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_1_973,refute_1_975]) ).
cnf(refute_1_977,plain,
( h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_1_976,refute_1_310]) ).
cnf(refute_1_978,plain,
( e21 = e23
| h1(e11) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_1_977,refute_1_304]) ).
cnf(refute_1_979,plain,
( h1(e11) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_1_978,refute_1_262]) ).
cnf(refute_1_980,plain,
( h1(e11) != e20
| h1(e11) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[0],$fot(e20)]]) ).
cnf(refute_1_981,plain,
( h1(e11) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_818,refute_1_980]) ).
cnf(refute_1_982,plain,
( e20 = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_979,refute_1_981]) ).
cnf(refute_1_983,plain,
op2(e22,e20) = e23,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_982,refute_1_822]) ).
cnf(refute_1_984,plain,
( e23 != e23
| op2(e22,e20) != e23
| op2(e22,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e23) ),[1],$fot(e23)]]) ).
cnf(refute_1_985,plain,
( e23 != e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_1_983,refute_1_984]) ).
cnf(refute_1_986,plain,
( e23 != e23
| h3(e10) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_1_985,refute_1_971]) ).
cnf(refute_1_987,plain,
( h3(e10) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_322,refute_1_986]) ).
cnf(refute_1_988,plain,
( h3(e11) = e21
| h3(e11) = e23
| h3(e11) = h3(e10) ),
inference(resolve,[$cnf( $equal(h3(e10),h3(e11)) )],[refute_1_912,refute_1_424]) ).
cnf(refute_1_989,plain,
( h3(e11) != e22
| h3(e10) = e22
| h3(e11) = e21
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),h3(e10)) )],[refute_1_988,refute_1_426]) ).
cnf(refute_1_990,plain,
( h3(e10) = e22
| h3(e11) = e21
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_1_455,refute_1_989]) ).
cnf(refute_1_991,plain,
( e23 != e23
| e23 = h3(e11)
| h3(e10) = e22
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_1_990,refute_1_913]) ).
cnf(refute_1_992,plain,
( e23 != e23
| h1(e10) = e21
| h3(e10) = e22
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(e23,h3(e11)) )],[refute_1_991,refute_1_907]) ).
cnf(refute_1_993,plain,
( h1(e10) = e21
| h3(e10) = e22
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_322,refute_1_992]) ).
cnf(refute_1_994,plain,
( e20 = e21
| h3(e10) = e22
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_1_993,refute_1_942]) ).
cnf(refute_1_995,plain,
( h3(e10) = e22
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_994,refute_1_267]) ).
cnf(refute_1_996,plain,
( h3(e11) != e22
| e21 = e22
| h3(e10) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_995,refute_1_558]) ).
cnf(refute_1_997,plain,
( e21 = e22
| h3(e10) = e20
| h3(e10) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_1_987,refute_1_996]) ).
cnf(refute_1_998,plain,
( h3(e10) = e20
| h3(e10) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_997,refute_1_364]) ).
cnf(refute_1_999,plain,
( h3(e11) != e22
| e21 = e22
| h3(e10) = h3(e11)
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_912,refute_1_558]) ).
cnf(refute_1_1000,plain,
( e21 = e22
| h3(e10) = e20
| h3(e10) = h3(e11)
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_1_464,refute_1_999]) ).
cnf(refute_1_1001,plain,
( h3(e10) = e20
| h3(e10) = h3(e11)
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_1000,refute_1_364]) ).
cnf(refute_1_1002,plain,
( e23 != e23
| e23 = h3(e11)
| h3(e10) = e20
| h3(e10) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_1_1001,refute_1_913]) ).
cnf(refute_1_1003,plain,
( e23 != e23
| h1(e10) = e21
| h3(e10) = e20
| h3(e10) = h3(e11) ),
inference(resolve,[$cnf( $equal(e23,h3(e11)) )],[refute_1_1002,refute_1_907]) ).
cnf(refute_1_1004,plain,
( h1(e10) = e21
| h3(e10) = e20
| h3(e10) = h3(e11) ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_322,refute_1_1003]) ).
cnf(refute_1_1005,plain,
( e20 = e21
| h3(e10) = e20
| h3(e10) = h3(e11) ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_1_1004,refute_1_942]) ).
cnf(refute_1_1006,plain,
( h3(e10) = e20
| h3(e10) = h3(e11) ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_1005,refute_1_267]) ).
cnf(refute_1_1007,plain,
( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21
| definitionFOFtoCNF_17 ),
inference(canonicalize,[],[normalize_1_136]) ).
cnf(refute_1_1008,plain,
h3(e13) = e22,
inference(canonicalize,[],[normalize_1_21]) ).
cnf(refute_1_1009,plain,
( h3(e13) != e21
| h3(e13) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e13),e21) ),[0],$fot(e22)]]) ).
cnf(refute_1_1010,plain,
( h3(e13) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(h3(e13),e22) )],[refute_1_1008,refute_1_1009]) ).
cnf(refute_1_1011,plain,
( e22 = e21
| h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h3(e13),e21) )],[refute_1_1007,refute_1_1010]) ).
cnf(refute_1_1012,plain,
( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_1_1011,refute_1_362]) ).
cnf(refute_1_1013,plain,
( h3(e12) != op2(e22,h3(e10))
| h3(e10) = e20
| h3(e12) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h3(e10),e22) )],[refute_1_998,refute_1_429]) ).
cnf(refute_1_1014,plain,
( h3(e10) = e20
| h3(e12) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,h3(e10))) )],[refute_1_400,refute_1_1013]) ).
cnf(refute_1_1015,plain,
( h3(e10) = e20
| h3(e12) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e22)) )],[refute_1_1014,refute_1_433]) ).
cnf(refute_1_1016,plain,
( h3(e12) != e21
| h3(e12) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e12),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_1017,plain,
( h3(e12) != e21
| h3(e10) = e20
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h3(e12),h3(e11)) )],[refute_1_1015,refute_1_1016]) ).
cnf(refute_1_1018,plain,
( h3(e10) = e20
| h3(e10) = e21
| h3(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h3(e12),e21) )],[refute_1_1012,refute_1_1017]) ).
cnf(refute_1_1019,plain,
( h3(e10) != h3(e11)
| h3(e11) != e21
| h3(e10) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_1020,plain,
( h3(e10) != h3(e11)
| h3(e10) = e20
| h3(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_1018,refute_1_1019]) ).
cnf(refute_1_1021,plain,
( h3(e10) = e20
| h3(e10) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h3(e10),h3(e11)) )],[refute_1_1006,refute_1_1020]) ).
cnf(refute_1_1022,plain,
( h3(e10) != e21
| h3(e10) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),e22) ),[0],$fot(e21)]]) ).
cnf(refute_1_1023,plain,
( h3(e10) != e22
| e21 = e22
| h3(e10) = e20
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h3(e10),e21) )],[refute_1_1021,refute_1_1022]) ).
cnf(refute_1_1024,plain,
( e21 = e22
| h3(e10) = e20
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h3(e10),e22) )],[refute_1_998,refute_1_1023]) ).
cnf(refute_1_1025,plain,
( h3(e10) = e20
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_1024,refute_1_364]) ).
cnf(refute_1_1026,plain,
( h3(e10) != e20
| h3(e10) != h3(e11)
| e20 = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),h3(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_1_1027,plain,
( h3(e10) != h3(e11)
| e20 = h3(e11)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_1025,refute_1_1026]) ).
cnf(refute_1_1028,plain,
( e20 = h3(e11)
| h3(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h3(e10),h3(e11)) )],[refute_1_968,refute_1_1027]) ).
cnf(refute_1_1029,plain,
( h3(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e20,h3(e11)) )],[refute_1_1028,refute_1_592]) ).
cnf(refute_1_1030,plain,
( e21 != e21
| h3(e11) != e21
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_1_1031,plain,
( e21 != e21
| e21 = h3(e11)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_1029,refute_1_1030]) ).
cnf(refute_1_1032,plain,
( e21 != e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_1_1031,refute_1_966]) ).
cnf(refute_1_1033,plain,
( e21 != e21
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_1_1032,refute_1_955]) ).
cnf(refute_1_1034,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_512,refute_1_1033]) ).
cnf(refute_1_1035,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_1_137]) ).
cnf(refute_1_1036,plain,
( op2(e20,e20) != e23
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_1_138]) ).
cnf(refute_1_1037,plain,
( h1(e11) != e23
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_1_1038,plain,
( h1(e11) != e23
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_1037]) ).
cnf(refute_1_1039,plain,
( h1(e11) != e23
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_1_1038,refute_1_1036]) ).
cnf(refute_1_1040,plain,
( op2(e20,op2(e20,e20)) != op2(e20,e20)
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_1_140]) ).
cnf(refute_1_1041,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_1_1042,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_1_1043,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_1_1041,refute_1_1042]) ).
cnf(refute_1_1044,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_1043]) ).
cnf(refute_1_1045,plain,
( op2(e20,h1(e11)) != op2(e20,e20)
| op2(e20,op2(e20,e20)) != op2(e20,h1(e11))
| op2(e20,op2(e20,e20)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e11))) ),[1],$fot(op2(e20,e20))]]) ).
cnf(refute_1_1046,plain,
( op2(e20,h1(e11)) != op2(e20,e20)
| op2(e20,op2(e20,e20)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e11))) )],[refute_1_1044,refute_1_1045]) ).
cnf(refute_1_1047,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,h1(e11)) != h1(e11)
| op2(e20,h1(e11)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e11)),op2(e20,e20)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_1_1048,plain,
( op2(e20,h1(e11)) != h1(e11)
| op2(e20,h1(e11)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_1047]) ).
cnf(refute_1_1049,plain,
( op2(e20,h1(e11)) != h1(e11)
| op2(e20,op2(e20,e20)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,e20)) )],[refute_1_1048,refute_1_1046]) ).
cnf(refute_1_1050,plain,
( op2(e20,h1(e11)) != h1(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,e20)) )],[refute_1_1049,refute_1_1040]) ).
cnf(refute_1_1051,plain,
( h1(e11) != e20
| op2(e20,e20) != h1(e11)
| op2(e20,h1(e11)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e11)),h1(e11)) ),[0,1],$fot(e20)]]) ).
cnf(refute_1_1052,plain,
( op2(e20,e20) != h1(e11)
| h1(e11) = e23
| op2(e20,h1(e11)) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_220,refute_1_1051]) ).
cnf(refute_1_1053,plain,
( op2(e20,e20) != h1(e11)
| h1(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),h1(e11)) )],[refute_1_1052,refute_1_1050]) ).
cnf(refute_1_1054,plain,
( h1(e11) != h1(e11)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_1_1055,plain,
( h1(e11) != h1(e11)
| op2(e20,e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_64,refute_1_1054]) ).
cnf(refute_1_1056,plain,
( h1(e11) != h1(e11)
| h1(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_1_1055,refute_1_1053]) ).
cnf(refute_1_1057,plain,
h1(e11) = h1(e11),
introduced(tautology,[refl,[$fot(h1(e11))]]) ).
cnf(refute_1_1058,plain,
( h1(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e11)) )],[refute_1_1057,refute_1_1056]) ).
cnf(refute_1_1059,plain,
( e23 != e23
| h1(e11) != e23
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_1_1060,plain,
( e23 != e23
| h1(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_1058,refute_1_1059]) ).
cnf(refute_1_1061,plain,
( e23 != e23
| op2(e20,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_1060,refute_1_1039]) ).
cnf(refute_1_1062,plain,
( op2(e20,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_322,refute_1_1061]) ).
cnf(refute_1_1063,plain,
( e20 != op2(e22,e23)
| op2(e20,e23) != e20
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_1_1064,plain,
( e20 != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_1_1062,refute_1_1063]) ).
cnf(refute_1_1065,plain,
( e20 != op2(e22,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_1_1064,refute_1_1035]) ).
cnf(refute_1_1066,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(canonicalize,[],[normalize_1_141]) ).
cnf(refute_1_1067,plain,
( h3(e11) = e20
| op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_1_1066,refute_1_437]) ).
cnf(refute_1_1068,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_1_1067,refute_1_454]) ).
cnf(refute_1_1069,plain,
op2(e21,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_1_142]) ).
cnf(refute_1_1070,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_1_1071,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_1_127,refute_1_1070]) ).
cnf(refute_1_1072,plain,
h2(e11) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_1_1071,refute_1_1069]) ).
cnf(refute_1_1073,plain,
( e20 != op2(e22,e21)
| h2(e11) != e20
| h2(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_1_1074,plain,
( e20 != op2(e22,e21)
| h2(e11) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_1_149,refute_1_1073]) ).
cnf(refute_1_1075,plain,
e20 != op2(e22,e21),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e21)) )],[refute_1_1074,refute_1_1072]) ).
cnf(refute_1_1076,plain,
( op2(e22,e21) != e20
| e20 = op2(e22,e21) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(op2(e22,e21))),bind(Y,$fot(e20))]]) ).
cnf(refute_1_1077,plain,
op2(e22,e21) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_1_1076,refute_1_1075]) ).
cnf(refute_1_1078,plain,
( op2(e22,e20) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_1_1068,refute_1_1077]) ).
cnf(refute_1_1079,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(e23)]]) ).
cnf(refute_1_1080,plain,
( op2(e22,e20) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_1_983,refute_1_1079]) ).
cnf(refute_1_1081,plain,
( e23 = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_1_1078,refute_1_1080]) ).
cnf(refute_1_1082,plain,
op2(e22,e23) = e20,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_1_1081,refute_1_824]) ).
cnf(refute_1_1083,plain,
( e20 != e20
| op2(e22,e23) != e20
| e20 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_1_1084,plain,
( e20 != e20
| e20 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_1_1082,refute_1_1083]) ).
cnf(refute_1_1085,plain,
( e20 != e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e23)) )],[refute_1_1084,refute_1_1065]) ).
cnf(refute_1_1086,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_1_301,refute_1_1085]) ).
cnf(refute_1_1087,plain,
( ~ definitionFOFtoCNF_3
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_1_1086,refute_1_1034]) ).
cnf(refute_1_1088,plain,
( h3(e10) != op2(h3(e11),h3(e11))
| h3(e11) != e21
| h3(e10) = op2(h3(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(h3(e11),h3(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_1089,plain,
( h3(e10) != op2(h3(e11),h3(e11))
| h3(e10) = op2(h3(e11),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_1029,refute_1_1088]) ).
cnf(refute_1_1090,plain,
( h3(e10) = op2(h3(e11),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(h3(e11),h3(e11))) )],[refute_1_414,refute_1_1089]) ).
cnf(refute_1_1091,plain,
( h3(e10) != e20
| h3(e10) != op2(h3(e11),e21)
| e20 = op2(h3(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(h3(e11),e21)) ),[0],$fot(e20)]]) ).
cnf(refute_1_1092,plain,
( h3(e10) != op2(h3(e11),e21)
| e20 = op2(h3(e11),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_1025,refute_1_1091]) ).
cnf(refute_1_1093,plain,
( e20 = op2(h3(e11),e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(h3(e11),e21)) )],[refute_1_1090,refute_1_1092]) ).
cnf(refute_1_1094,plain,
( op2(e20,op2(e23,e20)) != op2(e23,e20)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_1_148]) ).
cnf(refute_1_1095,plain,
op2(e20,op2(e23,e20)) = op2(e20,op2(e23,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e20)))]]) ).
cnf(refute_1_1096,plain,
( op2(e20,op2(e23,e20)) != op2(e20,op2(e23,e20))
| op2(e23,e20) != e22
| op2(e20,op2(e23,e20)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e20)),op2(e20,op2(e23,e20))) ),[1,1],$fot(e22)]]) ).
cnf(refute_1_1097,plain,
( op2(e23,e20) != e22
| op2(e20,op2(e23,e20)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e20)),op2(e20,op2(e23,e20))) )],[refute_1_1095,refute_1_1096]) ).
cnf(refute_1_1098,plain,
op2(e20,op2(e23,e20)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_202,refute_1_1097]) ).
cnf(refute_1_1099,plain,
( op2(e20,e22) != op2(e23,e20)
| op2(e20,op2(e23,e20)) != op2(e20,e22)
| op2(e20,op2(e23,e20)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e20)),op2(e20,e22)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_1_1100,plain,
( op2(e20,e22) != op2(e23,e20)
| op2(e20,op2(e23,e20)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e20)),op2(e20,e22)) )],[refute_1_1098,refute_1_1099]) ).
cnf(refute_1_1101,plain,
( op2(e20,e22) != e22
| op2(e23,e20) != e22
| op2(e20,e22) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_1_1102,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_202,refute_1_1101]) ).
cnf(refute_1_1103,plain,
( op2(e20,e22) != e22
| op2(e20,op2(e23,e20)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e20)) )],[refute_1_1102,refute_1_1100]) ).
cnf(refute_1_1104,plain,
( op2(e20,e22) != e22
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e20)),op2(e23,e20)) )],[refute_1_1103,refute_1_1094]) ).
cnf(refute_1_1105,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_1_149]) ).
cnf(refute_1_1106,plain,
( h3(e11) = e22
| op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_1_1105,refute_1_257]) ).
cnf(refute_1_1107,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_1_150]) ).
cnf(refute_1_1108,plain,
( e22 != op2(e23,e22)
| op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_1_1109,plain,
( e22 != op2(e23,e22)
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_202,refute_1_1108]) ).
cnf(refute_1_1110,plain,
e22 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_1_1109,refute_1_1107]) ).
cnf(refute_1_1111,plain,
( op2(e23,e22) != e22
| e22 = op2(e23,e22) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e22))]]) ).
cnf(refute_1_1112,plain,
op2(e23,e22) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e22)) )],[refute_1_1111,refute_1_1110]) ).
cnf(refute_1_1113,plain,
( h3(e11) = e22
| op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_1_1106,refute_1_1112]) ).
cnf(refute_1_1114,plain,
( e22 != op2(e21,e23)
| op2(e21,e22) != e22
| op2(e21,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_1_1115,plain,
( e22 != op2(e21,e23)
| h3(e11) = e22
| op2(e20,e22) = e22
| op2(e21,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_1_1113,refute_1_1114]) ).
cnf(refute_1_1116,plain,
( e22 != op2(e21,e23)
| h3(e11) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e23)) )],[refute_1_1115,refute_1_224]) ).
cnf(refute_1_1117,plain,
( op2(e21,op2(e23,e21)) != op2(e23,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_1_151]) ).
cnf(refute_1_1118,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_1_1119,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != e23
| op2(e21,op2(e23,e21)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_1120,plain,
( op2(e23,e21) != e23
| op2(e21,op2(e23,e21)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_1_1118,refute_1_1119]) ).
cnf(refute_1_1121,plain,
op2(e21,op2(e23,e21)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_1_513,refute_1_1120]) ).
cnf(refute_1_1122,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e21,op2(e23,e21)) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,e23)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_1_1123,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e21,op2(e23,e21)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,e23)) )],[refute_1_1121,refute_1_1122]) ).
cnf(refute_1_1124,plain,
( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_1_1125,plain,
( op2(e21,e23) != e23
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_1_513,refute_1_1124]) ).
cnf(refute_1_1126,plain,
( op2(e21,e23) != e23
| op2(e21,op2(e23,e21)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_1_1125,refute_1_1123]) ).
cnf(refute_1_1127,plain,
( op2(e21,e23) != e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e23,e21)) )],[refute_1_1126,refute_1_1117]) ).
cnf(refute_1_1128,plain,
( e23 != e23
| op2(e21,e23) != e23
| op2(e21,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_1_1129,plain,
( e23 != e23
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_1_240,refute_1_1128]) ).
cnf(refute_1_1130,plain,
( e23 != e23
| op2(e21,e23) = e22
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_1_1129,refute_1_1127]) ).
cnf(refute_1_1131,plain,
( op2(e21,e23) = e22
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_322,refute_1_1130]) ).
cnf(refute_1_1132,plain,
( e22 != e22
| op2(e21,e23) != e22
| e22 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_1_1133,plain,
( e22 != e22
| e22 = op2(e21,e23)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_1_1131,refute_1_1132]) ).
cnf(refute_1_1134,plain,
( e22 != e22
| h3(e11) = e22
| op2(e20,e22) = e22
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_1_1133,refute_1_1116]) ).
cnf(refute_1_1135,plain,
( e22 != e22
| h3(e11) = e22
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_1_1134,refute_1_1104]) ).
cnf(refute_1_1136,plain,
( h3(e11) = e22
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_317,refute_1_1135]) ).
cnf(refute_1_1137,plain,
( e20 != op2(h3(e11),e21)
| h3(e11) != e22
| e20 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(h3(e11),e21)) ),[1,0],$fot(e22)]]) ).
cnf(refute_1_1138,plain,
( e20 != op2(h3(e11),e21)
| e20 = op2(e22,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_1_1136,refute_1_1137]) ).
cnf(refute_1_1139,plain,
( e20 = op2(e22,e21)
| definitionFOFtoCNF_17
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,op2(h3(e11),e21)) )],[refute_1_1093,refute_1_1138]) ).
cnf(refute_1_1140,plain,
( definitionFOFtoCNF_17
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_1_1139,refute_1_1075]) ).
cnf(refute_1_1141,plain,
( op2(e21,op2(e22,e21)) != op2(e22,e21)
| ~ definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_1_153]) ).
cnf(refute_1_1142,plain,
( op2(e22,e22) != e21
| op2(e22,e21) = e22 ),
inference(canonicalize,[],[normalize_1_154]) ).
cnf(refute_1_1143,plain,
( h3(e11) != e21
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_1_1144,plain,
( h3(e11) != e21
| op2(e22,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_247,refute_1_1143]) ).
cnf(refute_1_1145,plain,
( h3(e11) != e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_1_1144,refute_1_1142]) ).
cnf(refute_1_1146,plain,
( e21 != e21
| h3(e11) = e21
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_1029,refute_1_917]) ).
cnf(refute_1_1147,plain,
( e21 != e21
| op2(e22,e21) = e22
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_1146,refute_1_1145]) ).
cnf(refute_1_1148,plain,
( op2(e22,e21) = e22
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_512,refute_1_1147]) ).
cnf(refute_1_1149,plain,
( op2(e21,op2(e22,e21)) != e22
| op2(e22,e21) != e22
| op2(e21,op2(e22,e21)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e22,e21)),op2(e22,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_1_1150,plain,
( op2(e21,op2(e22,e21)) != e22
| op2(e21,op2(e22,e21)) = op2(e22,e21)
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_1_1148,refute_1_1149]) ).
cnf(refute_1_1151,plain,
( op2(e21,op2(e22,e21)) != e22
| ~ definitionFOFtoCNF_5
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e21)),op2(e22,e21)) )],[refute_1_1150,refute_1_1141]) ).
cnf(refute_1_1152,plain,
( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e21,op2(e22,e21)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,op2(e22,e21)),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_1_1153,plain,
( op2(e21,e22) != e22
| op2(e21,op2(e22,e21)) = e22
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_1_1148,refute_1_1152]) ).
cnf(refute_1_1154,plain,
( op2(e21,e22) != e22
| ~ definitionFOFtoCNF_5
| definitionFOFtoCNF_17 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e21)),e22) )],[refute_1_1153,refute_1_1151]) ).
cnf(refute_1_1155,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_1_155]) ).
cnf(refute_1_1156,plain,
( op2(e20,e23) != e22
| op2(e21,e23) != e22
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_1_1157,plain,
( op2(e20,e23) != e22
| op2(e20,e23) = op2(e21,e23)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_1_285,refute_1_1156]) ).
cnf(refute_1_1158,plain,
( op2(e20,e23) != e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_1_1157,refute_1_1155]) ).
cnf(refute_1_1159,plain,
( op2(e20,op2(e22,e20)) != op2(e22,e20)
| ~ definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_1_156]) ).
cnf(refute_1_1160,plain,
op2(e20,op2(e22,e20)) = op2(e20,op2(e22,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e20)))]]) ).
cnf(refute_1_1161,plain,
( op2(e20,op2(e22,e20)) != op2(e20,op2(e22,e20))
| op2(e22,e20) != e23
| op2(e20,op2(e22,e20)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e20,op2(e22,e20))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_1162,plain,
( op2(e22,e20) != e23
| op2(e20,op2(e22,e20)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e20,op2(e22,e20))) )],[refute_1_1160,refute_1_1161]) ).
cnf(refute_1_1163,plain,
op2(e20,op2(e22,e20)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_1_983,refute_1_1162]) ).
cnf(refute_1_1164,plain,
( op2(e20,e23) != op2(e22,e20)
| op2(e20,op2(e22,e20)) != op2(e20,e23)
| op2(e20,op2(e22,e20)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e20,e23)) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_1_1165,plain,
( op2(e20,e23) != op2(e22,e20)
| op2(e20,op2(e22,e20)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e20,e23)) )],[refute_1_1163,refute_1_1164]) ).
cnf(refute_1_1166,plain,
( op2(e20,e23) != e23
| op2(e22,e20) != e23
| op2(e20,e23) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e22,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_1_1167,plain,
( op2(e20,e23) != e23
| op2(e20,e23) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_1_983,refute_1_1166]) ).
cnf(refute_1_1168,plain,
( op2(e20,e23) != e23
| op2(e20,op2(e22,e20)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e20)) )],[refute_1_1167,refute_1_1165]) ).
cnf(refute_1_1169,plain,
( op2(e20,e23) != e23
| ~ definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e22,e20)) )],[refute_1_1168,refute_1_1159]) ).
cnf(refute_1_1170,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_1_157]) ).
cnf(refute_1_1171,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_1_1170,refute_1_806]) ).
cnf(refute_1_1172,plain,
( e23 != e23
| op2(e20,e23) != e23
| op2(e20,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_1_1173,plain,
( e23 != e23
| op2(e20,e23) = e20
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_1_1171,refute_1_1172]) ).
cnf(refute_1_1174,plain,
( e23 != e23
| ~ definitionFOFtoCNF_5
| op2(e20,e23) = e20
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_1_1173,refute_1_1169]) ).
cnf(refute_1_1175,plain,
( ~ definitionFOFtoCNF_5
| op2(e20,e23) = e20
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_322,refute_1_1174]) ).
cnf(refute_1_1176,plain,
( op2(e20,e23) != e20
| op2(e22,e23) != e20
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_1_1177,plain,
( op2(e20,e23) != e20
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_1_1082,refute_1_1176]) ).
cnf(refute_1_1178,plain,
op2(e20,e23) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_1_1177,refute_1_1035]) ).
cnf(refute_1_1179,plain,
( ~ definitionFOFtoCNF_5
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_1_1175,refute_1_1178]) ).
cnf(refute_1_1180,plain,
( op2(e20,e23) = e22
| definitionFOFtoCNF_17
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_1_1140,refute_1_1179]) ).
cnf(refute_1_1181,plain,
( e22 != e22
| op2(e20,e23) != e22
| op2(e20,e23) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(e22)]]) ).
cnf(refute_1_1182,plain,
( e22 != e22
| op2(e20,e23) = e22
| definitionFOFtoCNF_17
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_1180,refute_1_1181]) ).
cnf(refute_1_1183,plain,
( e22 != e22
| op2(e21,e22) = e22
| definitionFOFtoCNF_17
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_1182,refute_1_1158]) ).
cnf(refute_1_1184,plain,
( e22 != e22
| ~ definitionFOFtoCNF_5
| definitionFOFtoCNF_17
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_1_1183,refute_1_1154]) ).
cnf(refute_1_1185,plain,
( ~ definitionFOFtoCNF_5
| definitionFOFtoCNF_17
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_317,refute_1_1184]) ).
cnf(refute_1_1186,plain,
( definitionFOFtoCNF_17
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_1_1140,refute_1_1185]) ).
cnf(refute_1_1187,plain,
definitionFOFtoCNF_17,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_1_1186,refute_1_1087]) ).
cnf(refute_1_1188,plain,
h3(e10) = h3(e11),
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_1_1187,refute_1_944]) ).
cnf(refute_1_1189,plain,
( e21 != e21
| h1(e10) = e21
| h3(e10) = e22
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_993,refute_1_917]) ).
cnf(refute_1_1190,plain,
( e21 != e21
| ~ definitionFOFtoCNF_17
| h1(e10) = e21
| h3(e10) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_1189,refute_1_893]) ).
cnf(refute_1_1191,plain,
( ~ definitionFOFtoCNF_17
| h1(e10) = e21
| h3(e10) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_512,refute_1_1190]) ).
cnf(refute_1_1192,plain,
( ~ definitionFOFtoCNF_17
| e20 = e21
| h3(e10) = e22 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_1_1191,refute_1_942]) ).
cnf(refute_1_1193,plain,
( ~ definitionFOFtoCNF_17
| h3(e10) = e22 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_1192,refute_1_267]) ).
cnf(refute_1_1194,plain,
h3(e10) = e22,
inference(resolve,[$cnf( definitionFOFtoCNF_17 )],[refute_1_1187,refute_1_1193]) ).
cnf(refute_1_1195,plain,
( h3(e10) != e22
| h3(e10) != h3(e11)
| e22 = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),h3(e11)) ),[0],$fot(e22)]]) ).
cnf(refute_1_1196,plain,
( h3(e10) != h3(e11)
| e22 = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e10),e22) )],[refute_1_1194,refute_1_1195]) ).
cnf(refute_1_1197,plain,
e22 = h3(e11),
inference(resolve,[$cnf( $equal(h3(e10),h3(e11)) )],[refute_1_1188,refute_1_1196]) ).
cnf(refute_1_1198,plain,
( e22 != h3(e11)
| h3(e11) = e22 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e22)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_1_1199,plain,
h3(e11) = e22,
inference(resolve,[$cnf( $equal(e22,h3(e11)) )],[refute_1_1197,refute_1_1198]) ).
cnf(refute_1_1200,plain,
( h3(e11) != e21
| h3(e11) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[0],$fot(e22)]]) ).
cnf(refute_1_1201,plain,
( h3(e11) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_1_1199,refute_1_1200]) ).
cnf(refute_1_1202,plain,
( e22 = e21
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_892,refute_1_1201]) ).
cnf(refute_1_1203,plain,
op1(e12,e12) = e11,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_1_1202,refute_1_362]) ).
cnf(refute_1_1204,plain,
( op1(e12,e12) != e11
| op1(e12,e12) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[0],$fot(e11)]]) ).
cnf(refute_1_1205,plain,
( op1(e12,e12) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_1_1203,refute_1_1204]) ).
cnf(refute_1_1206,plain,
( e11 = e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_1_859,refute_1_1205]) ).
cnf(refute_1_1207,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_1_1206,refute_1_753]) ).
cnf(refute_1_1208,plain,
( op1(e11,op1(e12,e11)) != op1(e12,e11)
| ~ definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_1_158]) ).
cnf(refute_1_1209,plain,
( e22 = e21
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_867,refute_1_1201]) ).
cnf(refute_1_1210,plain,
op1(e12,e11) = e12,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_1_1209,refute_1_362]) ).
cnf(refute_1_1211,plain,
op1(e11,op1(e12,e11)) = op1(e11,op1(e12,e11)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e12,e11)))]]) ).
cnf(refute_1_1212,plain,
( op1(e11,op1(e12,e11)) != op1(e11,op1(e12,e11))
| op1(e12,e11) != e12
| op1(e11,op1(e12,e11)) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e11,op1(e12,e11))) ),[1,1],$fot(e12)]]) ).
cnf(refute_1_1213,plain,
( op1(e12,e11) != e12
| op1(e11,op1(e12,e11)) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e11,op1(e12,e11))) )],[refute_1_1211,refute_1_1212]) ).
cnf(refute_1_1214,plain,
op1(e11,op1(e12,e11)) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_1_1210,refute_1_1213]) ).
cnf(refute_1_1215,plain,
( op1(e11,e12) != op1(e12,e11)
| op1(e11,op1(e12,e11)) != op1(e11,e12)
| op1(e11,op1(e12,e11)) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e11,e12)) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_1_1216,plain,
( op1(e11,e12) != op1(e12,e11)
| op1(e11,op1(e12,e11)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e11,e12)) )],[refute_1_1214,refute_1_1215]) ).
cnf(refute_1_1217,plain,
( op1(e11,e12) != e12
| op1(e12,e11) != e12
| op1(e11,e12) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_1_1218,plain,
( op1(e11,e12) != e12
| op1(e11,e12) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_1_1210,refute_1_1217]) ).
cnf(refute_1_1219,plain,
( op1(e11,e12) != e12
| op1(e11,op1(e12,e11)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e11)) )],[refute_1_1218,refute_1_1216]) ).
cnf(refute_1_1220,plain,
( op1(e11,e12) != e12
| ~ definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e12,e11)) )],[refute_1_1219,refute_1_1208]) ).
cnf(refute_1_1221,plain,
( h4(e12) != op2(e20,e21)
| op1(e10,e11) != e12
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0,0],$fot(e12)]]) ).
cnf(refute_1_1222,plain,
( h4(e12) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_1_754,refute_1_1221]) ).
cnf(refute_1_1223,plain,
( h4(e12) != op2(e20,e21)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_1_1222,refute_1_697]) ).
cnf(refute_1_1224,plain,
( e22 != op2(e20,e21)
| h4(e12) != e22
| h4(e12) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_1_1225,plain,
( e22 != op2(e20,e21)
| h4(e12) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_1_764,refute_1_1224]) ).
cnf(refute_1_1226,plain,
( e22 != op2(e20,e21)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e20,e21)) )],[refute_1_1225,refute_1_1223]) ).
cnf(refute_1_1227,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_1_159]) ).
cnf(refute_1_1228,plain,
( op2(e22,e21) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_1_1229,plain,
( op2(e22,e21) != h3(e11)
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_1_247,refute_1_1228]) ).
cnf(refute_1_1230,plain,
op2(e22,e21) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_1_1229,refute_1_1227]) ).
cnf(refute_1_1231,plain,
( e23 != e23
| h1(e10) = e21
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_1_904,refute_1_984]) ).
cnf(refute_1_1232,plain,
( e23 != e23
| h1(e10) = e21
| h3(e10) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_1_1231,refute_1_971]) ).
cnf(refute_1_1233,plain,
( h1(e10) = e21
| h3(e10) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_322,refute_1_1232]) ).
cnf(refute_1_1234,plain,
( h3(e11) != e22
| op2(e22,e21) != e22
| op2(e22,e21) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),h3(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_1_1235,plain,
( op2(e22,e21) != e22
| h1(e10) = e21
| h3(e10) = e20
| op2(e22,e21) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_1_1233,refute_1_1234]) ).
cnf(refute_1_1236,plain,
( op2(e22,e21) != e22
| h1(e10) = e21
| h3(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),h3(e11)) )],[refute_1_1235,refute_1_1230]) ).
cnf(refute_1_1237,plain,
( op2(e22,e21) != e22
| e20 = e21
| h3(e10) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_1_1236,refute_1_942]) ).
cnf(refute_1_1238,plain,
( op2(e22,e21) != e22
| h3(e10) = e20 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_1237,refute_1_267]) ).
cnf(refute_1_1239,plain,
( e22 != e22
| op2(e22,e21) != e22
| op2(e22,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[0,0],$fot(e22)]]) ).
cnf(refute_1_1240,plain,
( e22 != e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_1_529,refute_1_1239]) ).
cnf(refute_1_1241,plain,
( e22 != e22
| h3(e10) = e20
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_1_1240,refute_1_1238]) ).
cnf(refute_1_1242,plain,
( h3(e10) = e20
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_317,refute_1_1241]) ).
cnf(refute_1_1243,plain,
( e22 != e22
| op2(e20,e21) != e22
| e22 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_1_1244,plain,
( e22 != e22
| e22 = op2(e20,e21)
| h3(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_1_1242,refute_1_1243]) ).
cnf(refute_1_1245,plain,
( e22 != e22
| h3(e10) = e20
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_1_1244,refute_1_1226]) ).
cnf(refute_1_1246,plain,
( h3(e10) = e20
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_317,refute_1_1245]) ).
cnf(refute_1_1247,plain,
( e11 != e11
| h3(e10) = e20
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_1246,refute_1_769]) ).
cnf(refute_1_1248,plain,
( e11 != e11
| h3(e10) = e20
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_1247,refute_1_678]) ).
cnf(refute_1_1249,plain,
( h3(e10) = e20
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_674,refute_1_1248]) ).
cnf(refute_1_1250,plain,
( op1(e10,e11) != e12
| op1(e12,e11) != e12
| op1(e10,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e12,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_1_1251,plain,
( op1(e10,e11) != e12
| h3(e10) = e20
| op1(e10,e11) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_1_1249,refute_1_1250]) ).
cnf(refute_1_1252,plain,
( op1(e10,e11) != e12
| h3(e10) = e20 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e11)) )],[refute_1_1251,refute_1_662]) ).
cnf(refute_1_1253,plain,
( op1(e10,op1(e13,e10)) != op1(e13,e10)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_1_167]) ).
cnf(refute_1_1254,plain,
op1(e10,op1(e13,e10)) = op1(e10,op1(e13,e10)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e10)))]]) ).
cnf(refute_1_1255,plain,
( op1(e10,op1(e13,e10)) != op1(e10,op1(e13,e10))
| op1(e13,e10) != e12
| op1(e10,op1(e13,e10)) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e10)),op1(e10,op1(e13,e10))) ),[1,1],$fot(e12)]]) ).
cnf(refute_1_1256,plain,
( op1(e13,e10) != e12
| op1(e10,op1(e13,e10)) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e10)),op1(e10,op1(e13,e10))) )],[refute_1_1254,refute_1_1255]) ).
cnf(refute_1_1257,plain,
op1(e10,op1(e13,e10)) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_1_19,refute_1_1256]) ).
cnf(refute_1_1258,plain,
( op1(e10,e12) != op1(e13,e10)
| op1(e10,op1(e13,e10)) != op1(e10,e12)
| op1(e10,op1(e13,e10)) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e10)),op1(e10,e12)) ),[1],$fot(op1(e13,e10))]]) ).
cnf(refute_1_1259,plain,
( op1(e10,e12) != op1(e13,e10)
| op1(e10,op1(e13,e10)) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e10)),op1(e10,e12)) )],[refute_1_1257,refute_1_1258]) ).
cnf(refute_1_1260,plain,
( op1(e10,e12) != e12
| op1(e13,e10) != e12
| op1(e10,e12) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_1_1261,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_1_19,refute_1_1260]) ).
cnf(refute_1_1262,plain,
( op1(e10,e12) != e12
| op1(e10,op1(e13,e10)) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e10)) )],[refute_1_1261,refute_1_1259]) ).
cnf(refute_1_1263,plain,
( op1(e10,e12) != e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e10)),op1(e13,e10)) )],[refute_1_1262,refute_1_1253]) ).
cnf(refute_1_1264,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_1_168]) ).
cnf(refute_1_1265,plain,
( op1(e11,op1(e13,e11)) != op1(e13,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_1_169]) ).
cnf(refute_1_1266,plain,
op1(e11,op1(e13,e11)) = op1(e11,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e11)))]]) ).
cnf(refute_1_1267,plain,
( op1(e11,op1(e13,e11)) != op1(e11,op1(e13,e11))
| op1(e13,e11) != e13
| op1(e11,op1(e13,e11)) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11))) ),[1,1],$fot(e13)]]) ).
cnf(refute_1_1268,plain,
( op1(e13,e11) != e13
| op1(e11,op1(e13,e11)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11))) )],[refute_1_1266,refute_1_1267]) ).
cnf(refute_1_1269,plain,
op1(e11,op1(e13,e11)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_1_714,refute_1_1268]) ).
cnf(refute_1_1270,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e11,op1(e13,e11)) != op1(e11,e13)
| op1(e11,op1(e13,e11)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,e13)) ),[1],$fot(op1(e13,e11))]]) ).
cnf(refute_1_1271,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e11,op1(e13,e11)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,e13)) )],[refute_1_1269,refute_1_1270]) ).
cnf(refute_1_1272,plain,
( op1(e11,e13) != e13
| op1(e13,e11) != e13
| op1(e11,e13) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_1_1273,plain,
( op1(e11,e13) != e13
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_1_714,refute_1_1272]) ).
cnf(refute_1_1274,plain,
( op1(e11,e13) != e13
| op1(e11,op1(e13,e11)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_1_1273,refute_1_1271]) ).
cnf(refute_1_1275,plain,
( op1(e11,e13) != e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e13,e11)) )],[refute_1_1274,refute_1_1265]) ).
cnf(refute_1_1276,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_1_170]) ).
cnf(refute_1_1277,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_1_171]) ).
cnf(refute_1_1278,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_1_1279,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_28,refute_1_1278]) ).
cnf(refute_1_1280,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_1_1279,refute_1_1277]) ).
cnf(refute_1_1281,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_1_1276,refute_1_1280]) ).
cnf(refute_1_1282,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_1_172]) ).
cnf(refute_1_1283,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) != e10
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_1_1284,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_1_46,refute_1_1283]) ).
cnf(refute_1_1285,plain,
e10 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_1_1284,refute_1_1282]) ).
cnf(refute_1_1286,plain,
( op1(e11,e13) != e10
| e10 = op1(e11,e13) ),
inference(subst,[],[refute_1_8:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e10))]]) ).
cnf(refute_1_1287,plain,
op1(e11,e13) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e13)) )],[refute_1_1286,refute_1_1285]) ).
cnf(refute_1_1288,plain,
( op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_1_1281,refute_1_1287]) ).
cnf(refute_1_1289,plain,
( e13 != e13
| op1(e11,e13) != e13
| op1(e11,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_1_1290,plain,
( e13 != e13
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_1_1288,refute_1_1289]) ).
cnf(refute_1_1291,plain,
( e13 != e13
| op1(e11,e13) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_1_1290,refute_1_1275]) ).
cnf(refute_1_1292,plain,
( op1(e11,e13) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_881,refute_1_1291]) ).
cnf(refute_1_1293,plain,
( op1(e10,e13) != e12
| op1(e11,e13) != e12
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_1_1294,plain,
( op1(e10,e13) != e12
| op1(e10,e13) = op1(e11,e13)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_1_1292,refute_1_1293]) ).
cnf(refute_1_1295,plain,
( op1(e10,e13) != e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_1_1294,refute_1_1264]) ).
cnf(refute_1_1296,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(canonicalize,[],[normalize_1_173]) ).
cnf(refute_1_1297,plain,
( op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_1_1296,refute_1_93]) ).
cnf(refute_1_1298,plain,
( e12 != e12
| op1(e10,e13) != e12
| op1(e10,e13) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(e12)]]) ).
cnf(refute_1_1299,plain,
( e12 != e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_1_1297,refute_1_1298]) ).
cnf(refute_1_1300,plain,
( e12 != e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_1_1299,refute_1_1295]) ).
cnf(refute_1_1301,plain,
( e12 != e12
| op1(e10,e11) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_1_1300,refute_1_1263]) ).
cnf(refute_1_1302,plain,
( e12 != e12
| h3(e10) = e20
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_1_1301,refute_1_1252]) ).
cnf(refute_1_1303,plain,
( h3(e10) = e20
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_1_790,refute_1_1302]) ).
cnf(refute_1_1304,plain,
( h3(e10) != e20
| h3(e10) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),e20) ),[0],$fot(e22)]]) ).
cnf(refute_1_1305,plain,
( h3(e10) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(h3(e10),e22) )],[refute_1_1194,refute_1_1304]) ).
cnf(refute_1_1306,plain,
( e22 = e20
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_1_1303,refute_1_1305]) ).
cnf(refute_1_1307,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_1_8:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_1_1308,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_1307,refute_1_284]) ).
cnf(refute_1_1309,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_1_1306,refute_1_1308]) ).
cnf(refute_1_1310,plain,
( op1(e10,op1(e11,e10)) != op1(e11,e10)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_1_175]) ).
cnf(refute_1_1311,plain,
op1(e10,op1(e11,e10)) = op1(e10,op1(e11,e10)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e11,e10)))]]) ).
cnf(refute_1_1312,plain,
( op1(e10,op1(e11,e10)) != op1(e10,op1(e11,e10))
| op1(e11,e10) != e11
| op1(e10,op1(e11,e10)) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e10)),op1(e10,op1(e11,e10))) ),[1,1],$fot(e11)]]) ).
cnf(refute_1_1313,plain,
( op1(e11,e10) != e11
| op1(e10,op1(e11,e10)) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e10)),op1(e10,op1(e11,e10))) )],[refute_1_1311,refute_1_1312]) ).
cnf(refute_1_1314,plain,
op1(e10,op1(e11,e10)) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_51,refute_1_1313]) ).
cnf(refute_1_1315,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e10,op1(e11,e10)) != op1(e10,e11)
| op1(e10,op1(e11,e10)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e10)),op1(e10,e11)) ),[1],$fot(op1(e11,e10))]]) ).
cnf(refute_1_1316,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e10,op1(e11,e10)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e10)),op1(e10,e11)) )],[refute_1_1314,refute_1_1315]) ).
cnf(refute_1_1317,plain,
( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e10,e11) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e10)) ),[1],$fot(e11)]]) ).
cnf(refute_1_1318,plain,
( op1(e10,e11) != e11
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_1_51,refute_1_1317]) ).
cnf(refute_1_1319,plain,
( op1(e10,e11) != e11
| op1(e10,op1(e11,e10)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_1_1318,refute_1_1316]) ).
cnf(refute_1_1320,plain,
( op1(e10,e11) != e11
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e10)),op1(e11,e10)) )],[refute_1_1319,refute_1_1310]) ).
cnf(refute_1_1321,plain,
( e11 != e11
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_865,refute_1_1320]) ).
cnf(refute_1_1322,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_1_674,refute_1_1321]) ).
cnf(refute_1_1323,plain,
( op1(e10,op1(e10,e10)) != op1(e10,e10)
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_1_177]) ).
cnf(refute_1_1324,plain,
op1(e10,op1(e10,e10)) = op1(e10,op1(e10,e10)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e10,e10)))]]) ).
cnf(refute_1_1325,plain,
( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) != op1(e10,op1(e10,e10))
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e10)),op1(e10,op1(e10,e10))) ),[1,1],$fot(e10)]]) ).
cnf(refute_1_1326,plain,
( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),op1(e10,op1(e10,e10))) )],[refute_1_1324,refute_1_1325]) ).
cnf(refute_1_1327,plain,
op1(e10,op1(e10,e10)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_839,refute_1_1326]) ).
cnf(refute_1_1328,plain,
( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,op1(e10,e10)) = e10 ),
inference(subst,[],[refute_1_38:[bind(X,$fot(op1(e10,op1(e10,e10)))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e10))]]) ).
cnf(refute_1_1329,plain,
( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),op1(e10,e10)) )],[refute_1_1327,refute_1_1328]) ).
cnf(refute_1_1330,plain,
op1(e10,op1(e10,e10)) = e10,
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_839,refute_1_1329]) ).
cnf(refute_1_1331,plain,
( e10 != op1(e10,e10)
| op1(e10,op1(e10,e10)) != e10
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e10)),e10) ),[1],$fot(op1(e10,e10))]]) ).
cnf(refute_1_1332,plain,
( e10 != op1(e10,e10)
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),e10) )],[refute_1_1330,refute_1_1331]) ).
cnf(refute_1_1333,plain,
( e10 != e10
| op1(e10,e10) != e10
| e10 = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e10,e10)) ),[1],$fot(e10)]]) ).
cnf(refute_1_1334,plain,
( e10 != e10
| e10 = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_839,refute_1_1333]) ).
cnf(refute_1_1335,plain,
( e10 != e10
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(e10,op1(e10,e10)) )],[refute_1_1334,refute_1_1332]) ).
cnf(refute_1_1336,plain,
( e10 != e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),op1(e10,e10)) )],[refute_1_1335,refute_1_1323]) ).
cnf(refute_1_1337,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_1_50,refute_1_1336]) ).
cnf(refute_1_1338,plain,
( ~ definitionFOFtoCNF_0
| h3(e11) = e21 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_1_1337,refute_1_1322]) ).
cnf(refute_1_1339,plain,
( ~ definitionFOFtoCNF_0
| e22 = e21 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_1338,refute_1_1201]) ).
cnf(refute_1_1340,plain,
~ definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_1_1339,refute_1_362]) ).
cnf(refute_1_1341,plain,
definitionFOFtoCNF_2,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_1_1309,refute_1_1340]) ).
cnf(refute_1_1342,plain,
op1(e11,e12) != e12,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_1_1341,refute_1_1220]) ).
cnf(refute_1_1343,plain,
op1(e10,e12) = e12,
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_1_1207,refute_1_1342]) ).
cnf(refute_1_1344,plain,
( e12 != e12
| op1(e10,e12) != e12
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_1_1345,plain,
( e12 != e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_1_1343,refute_1_1344]) ).
cnf(refute_1_1346,plain,
( e12 != e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_1_1345,refute_1_851]) ).
cnf(refute_1_1347,plain,
op1(e10,e13) = e13,
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_1_790,refute_1_1346]) ).
cnf(refute_1_1348,plain,
( e13 != e13
| op1(e10,e13) != e13
| op1(e10,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_1_1349,plain,
( e13 != e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_1_1347,refute_1_1348]) ).
cnf(refute_1_1350,plain,
( e13 != e13
| ~ definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_1_1349,refute_1_835]) ).
cnf(refute_1_1351,plain,
~ definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_881,refute_1_1350]) ).
cnf(refute_1_1352,plain,
$false,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_1_1341,refute_1_1351]) ).
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,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,op1(e12,e10)) = op1(e12,e10)
| op1(e11,op1(e12,e11)) = op1(e12,e11)
| op1(e12,op1(e12,e12)) = op1(e12,e12)
| op1(e13,op1(e12,e13)) = op1(e12,e13) ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_2_1,plain,
( ( op1(e10,op1(e12,e10)) != op1(e12,e10)
| ~ definitionFOFtoCNF_2 )
& ( op1(e11,op1(e12,e11)) != op1(e12,e11)
| ~ definitionFOFtoCNF_2 )
& ( op1(e12,op1(e12,e12)) != op1(e12,e12)
| ~ definitionFOFtoCNF_2 )
& ( op1(e13,op1(e12,e13)) != op1(e12,e13)
| ~ definitionFOFtoCNF_2 )
& ( op1(e10,op1(e12,e10)) = op1(e12,e10)
| op1(e11,op1(e12,e11)) = op1(e12,e11)
| op1(e12,op1(e12,e12)) = op1(e12,e12)
| op1(e13,op1(e12,e13)) = op1(e12,e13)
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
( op1(e10,op1(e12,e10)) != op1(e12,e10)
| ~ definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_3,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_2_4,plain,
op1(e10,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_5,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_6,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_2_7,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_2_6]) ).
fof(normalize_2_8,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_2_9,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_2_8]) ).
fof(normalize_2_10,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_2_11,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_12,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_5,normalize_2_7,normalize_2_9,normalize_2_11]) ).
fof(normalize_2_13,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_2_12]) ).
fof(normalize_2_14,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_2_6]) ).
fof(normalize_2_15,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_2_16,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_2_15]) ).
fof(normalize_2_17,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_2_18,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_2_17]) ).
fof(normalize_2_19,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_2_20,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_21,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_22,plain,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_2_23,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_24,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_25,plain,
( ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_2_26,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e10 ),
inference(conjunct,[],[normalize_2_25]) ).
fof(normalize_2_27,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_28,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_29,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_2_15]) ).
fof(normalize_2_30,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_31,plain,
op1(e12,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_32,plain,
op1(e11,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_33,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(conjunct,[],[normalize_2_25]) ).
fof(normalize_2_34,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_35,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_2_34]) ).
fof(normalize_2_36,plain,
h3(e11) = op2(e22,e22),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_37,plain,
( ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_2_38,plain,
( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_2_37]) ).
fof(normalize_2_39,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_2_8]) ).
fof(normalize_2_40,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_2_17]) ).
fof(normalize_2_41,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_2_42,plain,
e21 != e23,
inference(conjunct,[],[normalize_2_41]) ).
fof(normalize_2_43,plain,
e20 != e21,
inference(conjunct,[],[normalize_2_41]) ).
fof(normalize_2_44,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_45,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(conjunct,[],[normalize_2_44]) ).
fof(normalize_2_46,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_2_37]) ).
fof(normalize_2_47,plain,
e22 != e23,
inference(conjunct,[],[normalize_2_41]) ).
fof(normalize_2_48,plain,
e20 != e22,
inference(conjunct,[],[normalize_2_41]) ).
fof(normalize_2_49,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_2_12]) ).
fof(normalize_2_50,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_2_15]) ).
fof(normalize_2_51,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_52,plain,
h4(op1(e10,e12)) != op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_2_12]) ).
fof(normalize_2_53,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_2_15]) ).
fof(normalize_2_54,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_2_17]) ).
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_19]) ).
fof(normalize_2_56,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_57,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_58,plain,
( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_2_57]) ).
fof(normalize_2_59,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_2_25]) ).
fof(normalize_2_60,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_2_61,plain,
e10 != e11,
inference(conjunct,[],[normalize_2_60]) ).
fof(normalize_2_62,plain,
e10 != e12,
inference(conjunct,[],[normalize_2_60]) ).
fof(normalize_2_63,plain,
e10 != e13,
inference(conjunct,[],[normalize_2_60]) ).
fof(normalize_2_64,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(conjunct,[],[normalize_2_44]) ).
fof(normalize_2_65,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_2_34]) ).
fof(normalize_2_66,plain,
( op2(e20,e20) != e21
| op2(e20,e21) = e20 ),
inference(conjunct,[],[normalize_2_37]) ).
fof(normalize_2_67,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_2_34]) ).
fof(normalize_2_68,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_2_34]) ).
fof(normalize_2_69,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(conjunct,[],[normalize_2_57]) ).
fof(normalize_2_70,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_71,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_72,plain,
e20 != e23,
inference(conjunct,[],[normalize_2_41]) ).
fof(normalize_2_73,plain,
( op1(e11,op1(e12,e11)) != op1(e12,e11)
| ~ definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_74,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(conjunct,[],[normalize_2_57]) ).
fof(normalize_2_75,plain,
e12 != e13,
inference(conjunct,[],[normalize_2_60]) ).
fof(normalize_2_76,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_2_34]) ).
fof(normalize_2_77,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_2_34]) ).
fof(normalize_2_78,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_2_44]) ).
fof(normalize_2_79,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_2_34]) ).
fof(normalize_2_80,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_2_34]) ).
fof(normalize_2_81,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_2_37]) ).
fof(normalize_2_82,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(conjunct,[],[normalize_2_57]) ).
fof(normalize_2_83,plain,
e11 != e13,
inference(conjunct,[],[normalize_2_60]) ).
fof(normalize_2_84,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_85,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(conjunct,[],[normalize_2_57]) ).
fof(normalize_2_86,plain,
op1(e11,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_87,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_88,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_89,plain,
( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ),
inference(conjunct,[],[normalize_2_25]) ).
fof(normalize_2_90,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,op1(e10,e10)) = op1(e10,e10)
| op1(e11,op1(e10,e11)) = op1(e10,e11)
| op1(e12,op1(e10,e12)) = op1(e10,e12)
| op1(e13,op1(e10,e13)) = op1(e10,e13) )
& ( op1(e10,op1(e11,e10)) = op1(e11,e10)
| op1(e11,op1(e11,e11)) = op1(e11,e11)
| op1(e12,op1(e11,e12)) = op1(e11,e12)
| op1(e13,op1(e11,e13)) = op1(e11,e13) ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_2_91,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_2_92,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,op1(e11,e10)) = op1(e11,e10)
| op1(e11,op1(e11,e11)) = op1(e11,e11)
| op1(e12,op1(e11,e12)) = op1(e11,e12)
| op1(e13,op1(e11,e13)) = op1(e11,e13) ) ) ),
inference(simplify,[],[normalize_2_90,normalize_2_91]) ).
fof(normalize_2_93,plain,
( definitionFOFtoCNF_0
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ),
inference(simplify,[],[normalize_2_89,normalize_2_92,normalize_2_91]) ).
fof(normalize_2_94,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ),
inference(simplify,[],[normalize_2_93,normalize_2_0]) ).
fof(normalize_2_95,plain,
( ( op1(e10,op1(e13,e10)) != op1(e13,e10)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e13,e11)) != op1(e13,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,op1(e13,e12)) != op1(e13,e12)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,op1(e13,e13)) != op1(e13,e13)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_2_94]) ).
fof(normalize_2_96,plain,
( op1(e10,op1(e13,e10)) != op1(e13,e10)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_2_95]) ).
fof(normalize_2_97,plain,
op1(e11,e12) != op1(e11,e13),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_98,plain,
( op1(e11,op1(e13,e11)) != op1(e13,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_2_95]) ).
fof(normalize_2_99,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_100,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_101,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_102,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_103,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_2_57]) ).
fof(normalize_2_104,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_2_3]) ).
fof(normalize_2_105,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( op1(e10,op1(e11,e10)) != op1(e11,e10)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op1(e11,op1(e11,e11)) != op1(e11,e11)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op1(e12,op1(e11,e12)) != op1(e11,e12)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op1(e13,op1(e11,e13)) != op1(e11,e13)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op1(e10,op1(e11,e10)) = op1(e11,e10)
| op1(e11,op1(e11,e11)) = op1(e11,e11)
| op1(e12,op1(e11,e12)) = op1(e11,e12)
| op1(e13,op1(e11,e13)) = op1(e11,e13)
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_2_92]) ).
fof(normalize_2_106,plain,
( op1(e10,op1(e11,e10)) != op1(e11,e10)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_2_105]) ).
fof(normalize_2_107,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(e20,op2(e20,e20)) = op2(e20,e20)
| op2(e21,op2(e20,e21)) = op2(e20,e21)
| op2(e22,op2(e20,e22)) = op2(e20,e22)
| op2(e23,op2(e20,e23)) = op2(e20,e23) )
& ( op2(e20,op2(e21,e20)) = op2(e21,e20)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e23,op2(e21,e23)) = op2(e21,e23) ) ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_2_108,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_2_109,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(e20,op2(e21,e20)) = op2(e21,e20)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e23,op2(e21,e23)) = op2(e21,e23) ) ) ),
inference(simplify,[],[normalize_2_107,normalize_2_108]) ).
fof(normalize_2_110,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( op2(e20,op2(e21,e20)) != op2(e21,e20)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e21,op2(e21,e21)) != op2(e21,e21)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e22,op2(e21,e22)) != op2(e21,e22)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e23,op2(e21,e23)) != op2(e21,e23)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e20,op2(e21,e20)) = op2(e21,e20)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e23,op2(e21,e23)) = op2(e21,e23)
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_2_109]) ).
fof(normalize_2_111,plain,
( op2(e20,op2(e21,e20)) != op2(e21,e20)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_2_110]) ).
fof(normalize_2_112,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_2_44]) ).
fof(normalize_2_113,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_2_6]) ).
fof(normalize_2_114,plain,
( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
| definitionFOFtoCNF_4 )
& ( op2(e21,op2(e20,e21)) != op2(e20,e21)
| definitionFOFtoCNF_4 )
& ( op2(e22,op2(e20,e22)) != op2(e20,e22)
| definitionFOFtoCNF_4 )
& ( op2(e23,op2(e20,e23)) != op2(e20,e23)
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_4
| op2(e20,op2(e20,e20)) = op2(e20,e20)
| op2(e21,op2(e20,e21)) = op2(e20,e21)
| op2(e22,op2(e20,e22)) = op2(e20,e22)
| op2(e23,op2(e20,e23)) = op2(e20,e23) ) ),
inference(clausify,[],[normalize_2_108]) ).
fof(normalize_2_115,plain,
( op2(e20,op2(e20,e20)) != op2(e20,e20)
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_2_114]) ).
fof(normalize_2_116,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_2_117,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_2_116]) ).
fof(normalize_2_118,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_2_34]) ).
fof(normalize_2_119,plain,
( op2(e22,op2(e20,e22)) != op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_2_114]) ).
fof(normalize_2_120,plain,
( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
| definitionFOFtoCNF_1 )
& ( op1(e11,op1(e10,e11)) != op1(e10,e11)
| definitionFOFtoCNF_1 )
& ( op1(e12,op1(e10,e12)) != op1(e10,e12)
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e10,e13)) != op1(e10,e13)
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_1
| op1(e10,op1(e10,e10)) = op1(e10,e10)
| op1(e11,op1(e10,e11)) = op1(e10,e11)
| op1(e12,op1(e10,e12)) = op1(e10,e12)
| op1(e13,op1(e10,e13)) = op1(e10,e13) ) ),
inference(clausify,[],[normalize_2_91]) ).
fof(normalize_2_121,plain,
( op1(e10,op1(e10,e10)) != op1(e10,e10)
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_2_120]) ).
fof(normalize_2_122,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(e20,op2(e22,e20)) = op2(e22,e20)
| op2(e21,op2(e22,e21)) = op2(e22,e21)
| op2(e22,op2(e22,e22)) = op2(e22,e22)
| op2(e23,op2(e22,e23)) = op2(e22,e23) ) ),
inference(canonicalize,[],[definition_9]) ).
fof(normalize_2_123,plain,
( ( op2(e20,op2(e22,e20)) != op2(e22,e20)
| ~ definitionFOFtoCNF_5 )
& ( op2(e21,op2(e22,e21)) != op2(e22,e21)
| ~ definitionFOFtoCNF_5 )
& ( op2(e22,op2(e22,e22)) != op2(e22,e22)
| ~ definitionFOFtoCNF_5 )
& ( op2(e23,op2(e22,e23)) != op2(e22,e23)
| ~ definitionFOFtoCNF_5 )
& ( op2(e20,op2(e22,e20)) = op2(e22,e20)
| op2(e21,op2(e22,e21)) = op2(e22,e21)
| op2(e22,op2(e22,e22)) = op2(e22,e22)
| op2(e23,op2(e22,e23)) = op2(e22,e23)
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_2_122]) ).
fof(normalize_2_124,plain,
( op2(e22,op2(e22,e22)) != op2(e22,e22)
| ~ definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_2_123]) ).
fof(normalize_2_125,plain,
( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ),
inference(conjunct,[],[normalize_2_37]) ).
fof(normalize_2_126,plain,
( definitionFOFtoCNF_3
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ),
inference(simplify,[],[normalize_2_125,normalize_2_109,normalize_2_108]) ).
fof(normalize_2_127,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ),
inference(simplify,[],[normalize_2_126,normalize_2_122]) ).
fof(normalize_2_128,plain,
( ( op2(e20,op2(e23,e20)) != op2(e23,e20)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e21,op2(e23,e21)) != op2(e23,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e22,op2(e23,e22)) != op2(e23,e22)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e23,op2(e23,e23)) != op2(e23,e23)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_2_127]) ).
fof(normalize_2_129,plain,
( op2(e22,op2(e23,e22)) != op2(e23,e22)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_2_128]) ).
fof(normalize_2_130,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_2_44]) ).
fof(normalize_2_131,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(conjunct,[],[normalize_2_44]) ).
fof(normalize_2_132,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_2_34]) ).
fof(normalize_2_133,plain,
( op2(e20,e20) != e23
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_2_37]) ).
cnf(refute_2_0,plain,
( op1(e10,op1(e12,e10)) != op1(e12,e10)
| ~ definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_2_2]) ).
cnf(refute_2_1,plain,
op1(e10,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_2_4]) ).
cnf(refute_2_2,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_2_13]) ).
cnf(refute_2_3,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_2_14]) ).
cnf(refute_2_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_2_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_2_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_2_4,refute_2_5]) ).
cnf(refute_2_7,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_2_8,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_2_3,refute_2_7]) ).
cnf(refute_2_9,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_2_16]) ).
cnf(refute_2_10,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_2_18]) ).
cnf(refute_2_11,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = e20 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_2_12,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_2_10,refute_2_11]) ).
cnf(refute_2_13,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_2_14,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_2_12,refute_2_13]) ).
cnf(refute_2_15,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_2_9,refute_2_14]) ).
cnf(refute_2_16,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_2_17,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_2_18,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_2_16,refute_2_17]) ).
cnf(refute_2_19,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_15,refute_2_18]) ).
cnf(refute_2_20,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_2_21,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_22,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_2_20,refute_2_21]) ).
cnf(refute_2_23,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_15,refute_2_22]) ).
cnf(refute_2_24,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_2_25,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_2_6,refute_2_24]) ).
cnf(refute_2_26,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_2_25:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_2_27,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_2_23,refute_2_26]) ).
cnf(refute_2_28,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_2_19,refute_2_27]) ).
cnf(refute_2_29,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_2_25:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_2_30,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_2_28,refute_2_29]) ).
cnf(refute_2_31,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_8,refute_2_30]) ).
cnf(refute_2_32,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_2_33,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_2_31,refute_2_32]) ).
cnf(refute_2_34,plain,
h4(op1(e10,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_2_2,refute_2_33]) ).
cnf(refute_2_35,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(canonicalize,[],[normalize_2_20]) ).
cnf(refute_2_36,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_2_21]) ).
cnf(refute_2_37,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(canonicalize,[],[normalize_2_23]) ).
cnf(refute_2_38,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(canonicalize,[],[normalize_2_24]) ).
cnf(refute_2_39,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = e10 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_2_40,plain,
op1(op1(e13,e13),op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_2_38,refute_2_39]) ).
cnf(refute_2_41,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
introduced(tautology,[refl,[$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_2_42,plain,
( op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) ),[1,1],$fot(e10)]]) ).
cnf(refute_2_43,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_2_41,refute_2_42]) ).
cnf(refute_2_44,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e10) )],[refute_2_40,refute_2_43]) ).
cnf(refute_2_45,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,e10)
| e12 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e10)) ),[0],$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_2_46,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| e12 = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,e10)) )],[refute_2_44,refute_2_45]) ).
cnf(refute_2_47,plain,
e12 = op1(e13,e10),
inference(resolve,[$cnf( $equal(e12,op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_2_37,refute_2_46]) ).
cnf(refute_2_48,plain,
( e12 != op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e10)))]]) ).
cnf(refute_2_49,plain,
op1(e13,e10) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e10)) )],[refute_2_47,refute_2_48]) ).
cnf(refute_2_50,plain,
( op1(e10,e10) != e12
| op1(e13,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_2_51,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_2_49,refute_2_50]) ).
cnf(refute_2_52,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_2_51,refute_2_36]) ).
cnf(refute_2_53,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_2_35,refute_2_52]) ).
cnf(refute_2_54,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e10 ),
inference(canonicalize,[],[normalize_2_26]) ).
cnf(refute_2_55,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_2_27]) ).
cnf(refute_2_56,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_2_28]) ).
cnf(refute_2_57,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_2_58,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_2_56,refute_2_57]) ).
cnf(refute_2_59,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_2_60,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_2_61,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_2_59,refute_2_60]) ).
cnf(refute_2_62,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_58,refute_2_61]) ).
cnf(refute_2_63,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_2_64,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_2_65,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_2_63,refute_2_64]) ).
cnf(refute_2_66,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_58,refute_2_65]) ).
cnf(refute_2_67,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_2_25:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_2_68,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_2_66,refute_2_67]) ).
cnf(refute_2_69,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_2_62,refute_2_68]) ).
cnf(refute_2_70,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_2_71,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| e10 = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_2_69,refute_2_70]) ).
cnf(refute_2_72,plain,
e10 = op1(e11,e11),
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_2_38,refute_2_71]) ).
cnf(refute_2_73,plain,
( e10 != op1(e11,e11)
| op1(e11,e11) = e10 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e11)))]]) ).
cnf(refute_2_74,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_2_72,refute_2_73]) ).
cnf(refute_2_75,plain,
( op1(e10,e11) != e10
| op1(e11,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_2_76,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_2_74,refute_2_75]) ).
cnf(refute_2_77,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_2_76,refute_2_55]) ).
cnf(refute_2_78,plain,
op1(e10,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_2_54,refute_2_77]) ).
cnf(refute_2_79,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_53,refute_2_78]) ).
cnf(refute_2_80,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e13
| h4(e13) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_2_81,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e13) = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_2_79,refute_2_80]) ).
cnf(refute_2_82,plain,
( h4(e13) = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_2_34,refute_2_81]) ).
cnf(refute_2_83,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_2_29]) ).
cnf(refute_2_84,plain,
( h4(e13) != e23
| h4(e13) != h1(e11)
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h1(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_2_85,plain,
( h4(e13) != h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_2_83,refute_2_84]) ).
cnf(refute_2_86,plain,
( e23 = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e13),h1(e11)) )],[refute_2_82,refute_2_85]) ).
cnf(refute_2_87,plain,
( e10 != op1(e12,e10)
| op1(e10,e10) != e10
| op1(e10,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_2_88,plain,
( e10 != op1(e12,e10)
| e23 = h1(e11)
| op1(e10,e10) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_86,refute_2_87]) ).
cnf(refute_2_89,plain,
( e10 != op1(e12,e10)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e12,e10)) )],[refute_2_88,refute_2_1]) ).
cnf(refute_2_90,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_2_30]) ).
cnf(refute_2_91,plain,
op1(e12,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_2_31]) ).
cnf(refute_2_92,plain,
( op1(e12,e10) != e12
| op1(e13,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_2_93,plain,
( op1(e12,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_2_49,refute_2_92]) ).
cnf(refute_2_94,plain,
op1(e12,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e13,e10)) )],[refute_2_93,refute_2_91]) ).
cnf(refute_2_95,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_2_90,refute_2_94]) ).
cnf(refute_2_96,plain,
op1(e11,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_2_32]) ).
cnf(refute_2_97,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(canonicalize,[],[normalize_2_33]) ).
cnf(refute_2_98,plain,
( e10 != e10
| op1(e11,e11) != e10
| op1(e11,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(e10)]]) ).
cnf(refute_2_99,plain,
( e10 != e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_2_74,refute_2_98]) ).
cnf(refute_2_100,plain,
( e10 != e10
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_2_99,refute_2_97]) ).
cnf(refute_2_101,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_2_102,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_2_101,refute_2_100]) ).
cnf(refute_2_103,plain,
( e11 != op1(e12,e10)
| op1(e11,e10) != e11
| op1(e11,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_2_104,plain,
( e11 != op1(e12,e10)
| op1(e11,e10) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_2_102,refute_2_103]) ).
cnf(refute_2_105,plain,
e11 != op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,e10)) )],[refute_2_104,refute_2_96]) ).
cnf(refute_2_106,plain,
( op1(e12,e10) != e11
| e11 = op1(e12,e10) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op1(e12,e10))),bind(Y,$fot(e11))]]) ).
cnf(refute_2_107,plain,
op1(e12,e10) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e10)) )],[refute_2_106,refute_2_105]) ).
cnf(refute_2_108,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_2_95,refute_2_107]) ).
cnf(refute_2_109,plain,
( e10 != e10
| op1(e12,e10) != e10
| e10 = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e10)) ),[1],$fot(e10)]]) ).
cnf(refute_2_110,plain,
( e10 != e10
| e10 = op1(e12,e10)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_2_108,refute_2_109]) ).
cnf(refute_2_111,plain,
( e10 != e10
| e23 = h1(e11)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e10,op1(e12,e10)) )],[refute_2_110,refute_2_89]) ).
cnf(refute_2_112,plain,
( e23 = h1(e11)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_2_101,refute_2_111]) ).
cnf(refute_2_113,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_2_35]) ).
cnf(refute_2_114,plain,
h3(e11) = op2(e22,e22),
inference(canonicalize,[],[normalize_2_36]) ).
cnf(refute_2_115,plain,
( h3(e11) != op2(e22,e22)
| op2(e22,e22) = h3(e11) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_2_116,plain,
op2(e22,e22) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_2_114,refute_2_115]) ).
cnf(refute_2_117,plain,
( op2(e22,e21) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_2_118,plain,
( op2(e22,e21) != h3(e11)
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_2_116,refute_2_117]) ).
cnf(refute_2_119,plain,
op2(e22,e21) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_2_118,refute_2_113]) ).
cnf(refute_2_120,plain,
( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_2_38]) ).
cnf(refute_2_121,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_2_122,plain,
( op2(e20,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_8,refute_2_121]) ).
cnf(refute_2_123,plain,
( h1(e11) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_2_120,refute_2_122]) ).
cnf(refute_2_124,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_2_39]) ).
cnf(refute_2_125,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_2_126,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_2_124,refute_2_125]) ).
cnf(refute_2_127,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e11)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_2_128,plain,
( op2(e21,e21) != e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_2_126,refute_2_127]) ).
cnf(refute_2_129,plain,
( h1(e11) = e20
| h2(e11) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_2_123,refute_2_128]) ).
cnf(refute_2_130,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_2_131,plain,
( op2(e22,e22) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_2_116,refute_2_130]) ).
cnf(refute_2_132,plain,
( h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_2_129,refute_2_131]) ).
cnf(refute_2_133,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_2_40]) ).
cnf(refute_2_134,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_2_135,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_2_133,refute_2_134]) ).
cnf(refute_2_136,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e21)]]) ).
cnf(refute_2_137,plain,
( op2(e23,e23) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_135,refute_2_136]) ).
cnf(refute_2_138,plain,
( e21 = e23
| h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_2_132,refute_2_137]) ).
cnf(refute_2_139,plain,
e21 != e23,
inference(canonicalize,[],[normalize_2_42]) ).
cnf(refute_2_140,plain,
( h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_2_138,refute_2_139]) ).
cnf(refute_2_141,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_2_142,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_2_143,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_2_141,refute_2_142]) ).
cnf(refute_2_144,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_135,refute_2_143]) ).
cnf(refute_2_145,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_2_146,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_2_147,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_2_145,refute_2_146]) ).
cnf(refute_2_148,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_135,refute_2_147]) ).
cnf(refute_2_149,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_2_25:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_2_150,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_2_148,refute_2_149]) ).
cnf(refute_2_151,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_2_144,refute_2_150]) ).
cnf(refute_2_152,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_2_25:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_2_153,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_2_151,refute_2_152]) ).
cnf(refute_2_154,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_2_126,refute_2_153]) ).
cnf(refute_2_155,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| e20 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e11)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_2_156,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_2_154,refute_2_155]) ).
cnf(refute_2_157,plain,
e20 = h2(e11),
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_2_10,refute_2_156]) ).
cnf(refute_2_158,plain,
( e20 != h2(e11)
| h2(e11) = e20 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e20)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_2_159,plain,
h2(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h2(e11)) )],[refute_2_157,refute_2_158]) ).
cnf(refute_2_160,plain,
( h2(e11) != e20
| h2(e11) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e21) ),[0],$fot(e20)]]) ).
cnf(refute_2_161,plain,
( h2(e11) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_2_159,refute_2_160]) ).
cnf(refute_2_162,plain,
( e20 = e21
| h1(e11) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_2_140,refute_2_161]) ).
cnf(refute_2_163,plain,
e20 != e21,
inference(canonicalize,[],[normalize_2_43]) ).
cnf(refute_2_164,plain,
( h1(e11) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_2_162,refute_2_163]) ).
cnf(refute_2_165,plain,
( h3(e11) != e22
| op2(e22,e21) != e22
| op2(e22,e21) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),h3(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_2_166,plain,
( op2(e22,e21) != e22
| h1(e11) = e20
| op2(e22,e21) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_2_164,refute_2_165]) ).
cnf(refute_2_167,plain,
( op2(e22,e21) != e22
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),h3(e11)) )],[refute_2_166,refute_2_119]) ).
cnf(refute_2_168,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(canonicalize,[],[normalize_2_45]) ).
cnf(refute_2_169,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_2_170,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_2_126,refute_2_169]) ).
cnf(refute_2_171,plain,
( h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_2_168,refute_2_170]) ).
cnf(refute_2_172,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_2_46]) ).
cnf(refute_2_173,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_2_174,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_135,refute_2_173]) ).
cnf(refute_2_175,plain,
( e21 != e21
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_174,refute_2_172]) ).
cnf(refute_2_176,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_2_177,plain,
op2(e23,e21) = e23,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_176,refute_2_175]) ).
cnf(refute_2_178,plain,
( op2(e23,e21) != e22
| op2(e23,e21) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e22) ),[0],$fot(e23)]]) ).
cnf(refute_2_179,plain,
( op2(e23,e21) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_2_177,refute_2_178]) ).
cnf(refute_2_180,plain,
( e23 = e22
| h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_2_171,refute_2_179]) ).
cnf(refute_2_181,plain,
e22 != e23,
inference(canonicalize,[],[normalize_2_47]) ).
cnf(refute_2_182,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_2_183,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_2_182,refute_2_181]) ).
cnf(refute_2_184,plain,
( h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_180,refute_2_183]) ).
cnf(refute_2_185,plain,
( h2(e11) != e20
| h2(e11) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[0],$fot(e20)]]) ).
cnf(refute_2_186,plain,
( h2(e11) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_2_159,refute_2_185]) ).
cnf(refute_2_187,plain,
( e20 = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_2_184,refute_2_186]) ).
cnf(refute_2_188,plain,
e20 != e22,
inference(canonicalize,[],[normalize_2_48]) ).
cnf(refute_2_189,plain,
( op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_2_187,refute_2_188]) ).
cnf(refute_2_190,plain,
( e22 != e22
| op2(e22,e21) != e22
| op2(e22,e21) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[0,0],$fot(e22)]]) ).
cnf(refute_2_191,plain,
( e22 != e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_2_189,refute_2_190]) ).
cnf(refute_2_192,plain,
( e22 != e22
| h1(e11) = e20
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_2_191,refute_2_167]) ).
cnf(refute_2_193,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_2_194,plain,
( h1(e11) = e20
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_2_193,refute_2_192]) ).
cnf(refute_2_195,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_2_49]) ).
cnf(refute_2_196,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_2_50]) ).
cnf(refute_2_197,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_2_198,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_135,refute_2_197]) ).
cnf(refute_2_199,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_2_196,refute_2_198]) ).
cnf(refute_2_200,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_2_201,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) != op2(e20,h4(e11))
| op2(e20,h4(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_2_202,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_2_200,refute_2_201]) ).
cnf(refute_2_203,plain,
op2(e20,h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_2_199,refute_2_202]) ).
cnf(refute_2_204,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_2_205,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_206,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_2_204,refute_2_205]) ).
cnf(refute_2_207,plain,
op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_15,refute_2_206]) ).
cnf(refute_2_208,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_2_25:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_2_209,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_2_207,refute_2_208]) ).
cnf(refute_2_210,plain,
op2(h4(e10),h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_2_203,refute_2_209]) ).
cnf(refute_2_211,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_2_212,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_2_210,refute_2_211]) ).
cnf(refute_2_213,plain,
h4(op1(e10,e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_2_195,refute_2_212]) ).
cnf(refute_2_214,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_2_51]) ).
cnf(refute_2_215,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e10
| h4(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e10)]]) ).
cnf(refute_2_216,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e10) = h1(e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_79,refute_2_215]) ).
cnf(refute_2_217,plain,
( h4(e10) = h1(e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_2_34,refute_2_216]) ).
cnf(refute_2_218,plain,
( h4(e10) != e20
| h4(e10) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h1(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_2_219,plain,
( h4(e10) != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_15,refute_2_218]) ).
cnf(refute_2_220,plain,
( e20 = h1(e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_2_217,refute_2_219]) ).
cnf(refute_2_221,plain,
( e13 != op1(e10,e12)
| op1(e10,e10) != e13
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_2_222,plain,
( e13 != op1(e10,e12)
| e20 = h1(e11)
| op1(e10,e10) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_2_220,refute_2_221]) ).
cnf(refute_2_223,plain,
( e13 != op1(e10,e12)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_2_222,refute_2_214]) ).
cnf(refute_2_224,plain,
h4(op1(e10,e12)) != op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_2_52]) ).
cnf(refute_2_225,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_2_53]) ).
cnf(refute_2_226,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_2_54]) ).
cnf(refute_2_227,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
introduced(tautology,[refl,[$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_2_228,plain,
( op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) ),[1,1],$fot(e20)]]) ).
cnf(refute_2_229,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_2_227,refute_2_228]) ).
cnf(refute_2_230,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_2_12,refute_2_229]) ).
cnf(refute_2_231,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e20)) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_2_232,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_2_230,refute_2_231]) ).
cnf(refute_2_233,plain,
e22 = op2(e23,e20),
inference(resolve,[$cnf( $equal(e22,op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_2_226,refute_2_232]) ).
cnf(refute_2_234,plain,
( e22 != op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_2_235,plain,
op2(e23,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_2_233,refute_2_234]) ).
cnf(refute_2_236,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(subst,[],[refute_2_25:[bind(X,$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(e22))]]) ).
cnf(refute_2_237,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_2_230,refute_2_236]) ).
cnf(refute_2_238,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22,
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_2_235,refute_2_237]) ).
cnf(refute_2_239,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_2_240,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),e22) )],[refute_2_238,refute_2_239]) ).
cnf(refute_2_241,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_2_225,refute_2_240]) ).
cnf(refute_2_242,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_2_243,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) != op2(e20,h4(e12))
| op2(e20,h4(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_2_244,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_2_242,refute_2_243]) ).
cnf(refute_2_245,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_2_241,refute_2_244]) ).
cnf(refute_2_246,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_2_247,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_248,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_2_246,refute_2_247]) ).
cnf(refute_2_249,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_15,refute_2_248]) ).
cnf(refute_2_250,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_2_25:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_2_251,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_2_249,refute_2_250]) ).
cnf(refute_2_252,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_2_245,refute_2_251]) ).
cnf(refute_2_253,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_2_254,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_2_252,refute_2_253]) ).
cnf(refute_2_255,plain,
h4(op1(e10,e12)) != op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_2_254,refute_2_224]) ).
cnf(refute_2_256,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_2_55]) ).
cnf(refute_2_257,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_2_56]) ).
cnf(refute_2_258,plain,
( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_2_58]) ).
cnf(refute_2_259,plain,
( op1(e13,e10) != e10
| op1(e13,e10) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e10) ),[0],$fot(e12)]]) ).
cnf(refute_2_260,plain,
( op1(e13,e10) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_2_49,refute_2_259]) ).
cnf(refute_2_261,plain,
( e12 = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_2_258,refute_2_260]) ).
cnf(refute_2_262,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_2_59]) ).
cnf(refute_2_263,plain,
( e11 != e11
| op1(e13,e13) != e11
| op1(e13,e13) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).
cnf(refute_2_264,plain,
( e11 != e11
| op1(e13,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_58,refute_2_263]) ).
cnf(refute_2_265,plain,
( e11 != e11
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_264,refute_2_262]) ).
cnf(refute_2_266,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_2_267,plain,
op1(e13,e11) = e13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_266,refute_2_265]) ).
cnf(refute_2_268,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e10) ),[0],$fot(e13)]]) ).
cnf(refute_2_269,plain,
( op1(e13,e11) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_2_267,refute_2_268]) ).
cnf(refute_2_270,plain,
( e12 = e10
| e13 = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_2_261,refute_2_269]) ).
cnf(refute_2_271,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).
cnf(refute_2_272,plain,
( op1(e13,e13) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_58,refute_2_271]) ).
cnf(refute_2_273,plain,
( e11 = e10
| e12 = e10
| e13 = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_270,refute_2_272]) ).
cnf(refute_2_274,plain,
e10 != e11,
inference(canonicalize,[],[normalize_2_61]) ).
cnf(refute_2_275,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_2_276,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_2_275,refute_2_274]) ).
cnf(refute_2_277,plain,
( e12 = e10
| e13 = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_2_273,refute_2_276]) ).
cnf(refute_2_278,plain,
e10 != e12,
inference(canonicalize,[],[normalize_2_62]) ).
cnf(refute_2_279,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_2_280,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_2_279,refute_2_278]) ).
cnf(refute_2_281,plain,
( e13 = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_2_277,refute_2_280]) ).
cnf(refute_2_282,plain,
e10 != e13,
inference(canonicalize,[],[normalize_2_63]) ).
cnf(refute_2_283,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_2_284,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_2_283,refute_2_282]) ).
cnf(refute_2_285,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_2_281,refute_2_284]) ).
cnf(refute_2_286,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_2_287,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_2_285,refute_2_286]) ).
cnf(refute_2_288,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_2_287,refute_2_257]) ).
cnf(refute_2_289,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_2_256,refute_2_288]) ).
cnf(refute_2_290,plain,
( h4(e11) != op2(e20,e22)
| op1(e10,e12) != e11
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e11)]]) ).
cnf(refute_2_291,plain,
( h4(e11) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22)
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_289,refute_2_290]) ).
cnf(refute_2_292,plain,
( h4(e11) != op2(e20,e22)
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_2_291,refute_2_255]) ).
cnf(refute_2_293,plain,
( e21 != op2(e20,e22)
| h4(e11) != e21
| h4(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_2_294,plain,
( e21 != op2(e20,e22)
| h4(e11) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_2_199,refute_2_293]) ).
cnf(refute_2_295,plain,
( e21 != op2(e20,e22)
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e22)) )],[refute_2_294,refute_2_292]) ).
cnf(refute_2_296,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(canonicalize,[],[normalize_2_64]) ).
cnf(refute_2_297,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_2_298,plain,
( op2(e20,e20) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_8,refute_2_297]) ).
cnf(refute_2_299,plain,
( h1(e11) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_2_296,refute_2_298]) ).
cnf(refute_2_300,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_2_65]) ).
cnf(refute_2_301,plain,
( op2(e20,e23) != e21
| op2(e23,e23) != e21
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_2_302,plain,
( op2(e20,e23) != e21
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_135,refute_2_301]) ).
cnf(refute_2_303,plain,
op2(e20,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_2_302,refute_2_300]) ).
cnf(refute_2_304,plain,
( h1(e11) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_2_299,refute_2_303]) ).
cnf(refute_2_305,plain,
( op2(e20,e20) != e21
| op2(e20,e21) = e20 ),
inference(canonicalize,[],[normalize_2_66]) ).
cnf(refute_2_306,plain,
( h1(e11) != e21
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_2_307,plain,
( h1(e11) != e21
| op2(e20,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_8,refute_2_306]) ).
cnf(refute_2_308,plain,
( h1(e11) != e21
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_2_307,refute_2_305]) ).
cnf(refute_2_309,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_2_67]) ).
cnf(refute_2_310,plain,
( op2(e20,e21) != h2(e11)
| op2(e21,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_2_311,plain,
( op2(e20,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_2_126,refute_2_310]) ).
cnf(refute_2_312,plain,
op2(e20,e21) != h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_2_311,refute_2_309]) ).
cnf(refute_2_313,plain,
( h2(e11) != e20
| op2(e20,e21) != e20
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),h2(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_2_314,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_2_159,refute_2_313]) ).
cnf(refute_2_315,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_2_314,refute_2_312]) ).
cnf(refute_2_316,plain,
h1(e11) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_2_308,refute_2_315]) ).
cnf(refute_2_317,plain,
( op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_2_304,refute_2_316]) ).
cnf(refute_2_318,plain,
( e21 != e21
| op2(e20,e22) != e21
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_2_319,plain,
( e21 != e21
| e21 = op2(e20,e22)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_2_317,refute_2_318]) ).
cnf(refute_2_320,plain,
( e21 != e21
| op1(e10,e12) = e12
| op1(e10,e12) = e13
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_2_319,refute_2_295]) ).
cnf(refute_2_321,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e13
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_176,refute_2_320]) ).
cnf(refute_2_322,plain,
( op2(e20,e21) != e21
| op2(e20,e21) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e22)]]) ).
cnf(refute_2_323,plain,
( op2(e20,e21) != e21
| e22 = e21
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_2_194,refute_2_322]) ).
cnf(refute_2_324,plain,
( e22 = e21
| h1(e11) = e20
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_2_321,refute_2_323]) ).
cnf(refute_2_325,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_2_68]) ).
cnf(refute_2_326,plain,
( e22 != op2(e23,e23)
| op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_2_327,plain,
( e22 != op2(e23,e23)
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_2_235,refute_2_326]) ).
cnf(refute_2_328,plain,
( e22 != e21
| op2(e23,e23) != e21
| e22 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_2_329,plain,
( e22 != e21
| e22 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_135,refute_2_328]) ).
cnf(refute_2_330,plain,
( e22 != e21
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_2_329,refute_2_327]) ).
cnf(refute_2_331,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_2_330,refute_2_325]) ).
cnf(refute_2_332,plain,
( h1(e11) = e20
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_2_324,refute_2_331]) ).
cnf(refute_2_333,plain,
( e13 != e13
| op1(e10,e12) != e13
| e13 = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e10,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_2_334,plain,
( e13 != e13
| e13 = op1(e10,e12)
| h1(e11) = e20
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_2_332,refute_2_333]) ).
cnf(refute_2_335,plain,
( e13 != e13
| e20 = h1(e11)
| h1(e11) = e20
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,op1(e10,e12)) )],[refute_2_334,refute_2_223]) ).
cnf(refute_2_336,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_2_337,plain,
( e20 = h1(e11)
| h1(e11) = e20
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_2_336,refute_2_335]) ).
cnf(refute_2_338,plain,
( h1(e11) != e20
| e20 = h1(e11) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(e20))]]) ).
cnf(refute_2_339,plain,
( e20 = h1(e11)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_337,refute_2_338]) ).
cnf(refute_2_340,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(canonicalize,[],[normalize_2_69]) ).
cnf(refute_2_341,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_70]) ).
cnf(refute_2_342,plain,
( op1(e10,e13) != e11
| op1(e13,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_343,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_58,refute_2_342]) ).
cnf(refute_2_344,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_2_343,refute_2_341]) ).
cnf(refute_2_345,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_2_340,refute_2_344]) ).
cnf(refute_2_346,plain,
( op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_345,refute_2_78]) ).
cnf(refute_2_347,plain,
( op1(e10,e12) != e11
| op1(e10,e12) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0],$fot(e11)]]) ).
cnf(refute_2_348,plain,
( op1(e10,e12) != e12
| e11 = e12
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_346,refute_2_347]) ).
cnf(refute_2_349,plain,
( e11 = e12
| e20 = h1(e11)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_339,refute_2_348]) ).
cnf(refute_2_350,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_71]) ).
cnf(refute_2_351,plain,
( e12 != op1(e13,e13)
| op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(op1(e13,e13))]]) ).
cnf(refute_2_352,plain,
( e12 != op1(e13,e13)
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_2_49,refute_2_351]) ).
cnf(refute_2_353,plain,
( e12 != e11
| op1(e13,e13) != e11
| e12 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_354,plain,
( e12 != e11
| e12 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_58,refute_2_353]) ).
cnf(refute_2_355,plain,
( e12 != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_2_354,refute_2_352]) ).
cnf(refute_2_356,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_2_355,refute_2_350]) ).
cnf(refute_2_357,plain,
( e11 != e12
| e12 = e11 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e11)),bind(Y,$fot(e12))]]) ).
cnf(refute_2_358,plain,
e11 != e12,
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_2_357,refute_2_356]) ).
cnf(refute_2_359,plain,
( e20 = h1(e11)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_2_349,refute_2_358]) ).
cnf(refute_2_360,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op1(e10,e11) != e11
| h4(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0,0],$fot(e11)]]) ).
cnf(refute_2_361,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| e20 = h1(e11)
| h4(e11) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_359,refute_2_360]) ).
cnf(refute_2_362,plain,
( e20 = h1(e11)
| h4(e11) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_2_213,refute_2_361]) ).
cnf(refute_2_363,plain,
( h4(e11) != e21
| h4(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e20,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_2_364,plain,
( h4(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_2_199,refute_2_363]) ).
cnf(refute_2_365,plain,
( e20 = h1(e11)
| e21 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e21)) )],[refute_2_362,refute_2_364]) ).
cnf(refute_2_366,plain,
( e21 != op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_2_367,plain,
( e20 = h1(e11)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_2_365,refute_2_366]) ).
cnf(refute_2_368,plain,
( op2(e20,e21) != e21
| op2(e20,e21) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[0],$fot(e21)]]) ).
cnf(refute_2_369,plain,
( op2(e20,e21) != e22
| e20 = h1(e11)
| e21 = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_2_367,refute_2_368]) ).
cnf(refute_2_370,plain,
( e20 = h1(e11)
| e21 = e22
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_2_194,refute_2_369]) ).
cnf(refute_2_371,plain,
( e20 = h1(e11)
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_370,refute_2_338]) ).
cnf(refute_2_372,plain,
( e21 != e22
| e22 = e21 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e21)),bind(Y,$fot(e22))]]) ).
cnf(refute_2_373,plain,
e21 != e22,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_2_372,refute_2_331]) ).
cnf(refute_2_374,plain,
e20 = h1(e11),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_2_371,refute_2_373]) ).
cnf(refute_2_375,plain,
( e20 != h1(e11)
| h1(e11) = e20 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e20)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_2_376,plain,
h1(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_2_374,refute_2_375]) ).
cnf(refute_2_377,plain,
( e23 != h1(e11)
| h1(e11) != e20
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_2_378,plain,
( e23 != h1(e11)
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_376,refute_2_377]) ).
cnf(refute_2_379,plain,
( e23 = e20
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_2_112,refute_2_378]) ).
cnf(refute_2_380,plain,
e20 != e23,
inference(canonicalize,[],[normalize_2_72]) ).
cnf(refute_2_381,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_2_382,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_2_381,refute_2_380]) ).
cnf(refute_2_383,plain,
op1(e12,e10) = e13,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_2_379,refute_2_382]) ).
cnf(refute_2_384,plain,
op1(e10,op1(e12,e10)) = op1(e10,op1(e12,e10)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e10)))]]) ).
cnf(refute_2_385,plain,
( op1(e10,op1(e12,e10)) != op1(e10,op1(e12,e10))
| op1(e12,e10) != e13
| op1(e10,op1(e12,e10)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e10)),op1(e10,op1(e12,e10))) ),[1,1],$fot(e13)]]) ).
cnf(refute_2_386,plain,
( op1(e12,e10) != e13
| op1(e10,op1(e12,e10)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e10)),op1(e10,op1(e12,e10))) )],[refute_2_384,refute_2_385]) ).
cnf(refute_2_387,plain,
op1(e10,op1(e12,e10)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_2_383,refute_2_386]) ).
cnf(refute_2_388,plain,
( op1(e10,e13) != op1(e12,e10)
| op1(e10,op1(e12,e10)) != op1(e10,e13)
| op1(e10,op1(e12,e10)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e10)),op1(e10,e13)) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_2_389,plain,
( op1(e10,e13) != op1(e12,e10)
| op1(e10,op1(e12,e10)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e10)),op1(e10,e13)) )],[refute_2_387,refute_2_388]) ).
cnf(refute_2_390,plain,
( op1(e10,e13) != e13
| op1(e12,e10) != e13
| op1(e10,e13) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_2_391,plain,
( op1(e10,e13) != e13
| op1(e10,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_2_383,refute_2_390]) ).
cnf(refute_2_392,plain,
( op1(e10,e13) != e13
| op1(e10,op1(e12,e10)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e10)) )],[refute_2_391,refute_2_389]) ).
cnf(refute_2_393,plain,
( op1(e10,e13) != e13
| ~ definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e10)),op1(e12,e10)) )],[refute_2_392,refute_2_0]) ).
cnf(refute_2_394,plain,
( op1(e11,op1(e12,e11)) != op1(e12,e11)
| ~ definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_2_73]) ).
cnf(refute_2_395,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(canonicalize,[],[normalize_2_74]) ).
cnf(refute_2_396,plain,
( op1(e13,e11) != e12
| op1(e13,e11) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(e13)]]) ).
cnf(refute_2_397,plain,
( op1(e13,e11) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_2_267,refute_2_396]) ).
cnf(refute_2_398,plain,
( e13 = e12
| op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_2_395,refute_2_397]) ).
cnf(refute_2_399,plain,
e12 != e13,
inference(canonicalize,[],[normalize_2_75]) ).
cnf(refute_2_400,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_2_401,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_2_400,refute_2_399]) ).
cnf(refute_2_402,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_2_398,refute_2_401]) ).
cnf(refute_2_403,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_2_404,plain,
( op1(e11,e11) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_2_74,refute_2_403]) ).
cnf(refute_2_405,plain,
( e10 = e12
| op1(e10,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_2_402,refute_2_404]) ).
cnf(refute_2_406,plain,
( op1(e10,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_2_405,refute_2_278]) ).
cnf(refute_2_407,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_2_76]) ).
cnf(refute_2_408,plain,
( op2(e20,e22) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_2_409,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_2_116,refute_2_408]) ).
cnf(refute_2_410,plain,
op2(e20,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_2_409,refute_2_407]) ).
cnf(refute_2_411,plain,
( e21 != h3(e11)
| op2(e20,e22) != e21
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(h3(e11))]]) ).
cnf(refute_2_412,plain,
( e21 != h3(e11)
| op2(e20,e21) = e21
| op2(e20,e22) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_2_317,refute_2_411]) ).
cnf(refute_2_413,plain,
( e21 != h3(e11)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_2_412,refute_2_410]) ).
cnf(refute_2_414,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_2_77]) ).
cnf(refute_2_415,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_2_78]) ).
cnf(refute_2_416,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_2_417,plain,
( op2(e22,e22) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_2_116,refute_2_416]) ).
cnf(refute_2_418,plain,
( h3(e11) = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_2_415,refute_2_417]) ).
cnf(refute_2_419,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_2_79]) ).
cnf(refute_2_420,plain,
( op2(e23,e22) != e21
| op2(e23,e23) != e21
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_2_421,plain,
( op2(e23,e22) != e21
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_135,refute_2_420]) ).
cnf(refute_2_422,plain,
op2(e23,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_2_421,refute_2_419]) ).
cnf(refute_2_423,plain,
( h3(e11) = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_2_418,refute_2_422]) ).
cnf(refute_2_424,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_2_80]) ).
cnf(refute_2_425,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_2_81]) ).
cnf(refute_2_426,plain,
( h2(e11) != e20
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_2_427,plain,
( h2(e11) != e20
| op2(e21,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_2_126,refute_2_426]) ).
cnf(refute_2_428,plain,
( h2(e11) != e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_2_427,refute_2_425]) ).
cnf(refute_2_429,plain,
( e20 != e20
| h2(e11) != e20
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(e20)]]) ).
cnf(refute_2_430,plain,
( e20 != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_2_159,refute_2_429]) ).
cnf(refute_2_431,plain,
( e20 != e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_2_430,refute_2_428]) ).
cnf(refute_2_432,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_2_433,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_2_432,refute_2_431]) ).
cnf(refute_2_434,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_2_435,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_2_433,refute_2_434]) ).
cnf(refute_2_436,plain,
e21 != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_2_435,refute_2_424]) ).
cnf(refute_2_437,plain,
( op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op2(e21,e22))),bind(Y,$fot(e21))]]) ).
cnf(refute_2_438,plain,
op2(e21,e22) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_2_437,refute_2_436]) ).
cnf(refute_2_439,plain,
( h3(e11) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_2_423,refute_2_438]) ).
cnf(refute_2_440,plain,
( op2(e20,e21) != e21
| op2(e20,e22) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_2_441,plain,
( op2(e20,e21) != e21
| h3(e11) = e21
| op2(e20,e21) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_2_439,refute_2_440]) ).
cnf(refute_2_442,plain,
( op2(e20,e21) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_2_441,refute_2_414]) ).
cnf(refute_2_443,plain,
( h4(op1(e10,e12)) != e21
| op2(e20,e22) != e21
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_2_444,plain,
( h4(op1(e10,e12)) != e21
| h3(e11) = e21
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_2_439,refute_2_443]) ).
cnf(refute_2_445,plain,
( h4(op1(e10,e12)) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_2_444,refute_2_255]) ).
cnf(refute_2_446,plain,
( h4(e11) != e21
| op1(e10,e12) != e11
| h4(op1(e10,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e21) ),[0,0],$fot(e11)]]) ).
cnf(refute_2_447,plain,
( h4(e11) != e21
| h4(op1(e10,e12)) = e21
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_346,refute_2_446]) ).
cnf(refute_2_448,plain,
( h4(e11) != e21
| h3(e11) = e21
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_2_447,refute_2_445]) ).
cnf(refute_2_449,plain,
( e21 != e21
| h4(e11) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_2_450,plain,
( e21 != e21
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_2_199,refute_2_449]) ).
cnf(refute_2_451,plain,
( e21 != e21
| h3(e11) = e21
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_2_450,refute_2_448]) ).
cnf(refute_2_452,plain,
( h3(e11) = e21
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_176,refute_2_451]) ).
cnf(refute_2_453,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h3(e11) = e21
| h4(e11) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_452,refute_2_360]) ).
cnf(refute_2_454,plain,
( h3(e11) = e21
| h4(e11) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_2_213,refute_2_453]) ).
cnf(refute_2_455,plain,
( e21 = op2(e20,e21)
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e21)) )],[refute_2_454,refute_2_364]) ).
cnf(refute_2_456,plain,
( h3(e11) = e21
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_2_455,refute_2_366]) ).
cnf(refute_2_457,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_2_458,plain,
( e21 != e21
| h3(e11) = e21
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_2_456,refute_2_457]) ).
cnf(refute_2_459,plain,
( e21 != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_2_458,refute_2_442]) ).
cnf(refute_2_460,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_176,refute_2_459]) ).
cnf(refute_2_461,plain,
( e21 != e21
| h3(e11) != e21
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_2_462,plain,
( e21 != e21
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_2_460,refute_2_461]) ).
cnf(refute_2_463,plain,
( e21 != e21
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_2_462,refute_2_413]) ).
cnf(refute_2_464,plain,
op2(e20,e21) = e21,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_176,refute_2_463]) ).
cnf(refute_2_465,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op2(e20,e21) != e21
| h4(op1(e10,e11)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),e21) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_2_466,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_2_464,refute_2_465]) ).
cnf(refute_2_467,plain,
h4(op1(e10,e11)) = e21,
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_2_213,refute_2_466]) ).
cnf(refute_2_468,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(canonicalize,[],[normalize_2_82]) ).
cnf(refute_2_469,plain,
( op1(e13,e11) != e11
| op1(e13,e11) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(e13)]]) ).
cnf(refute_2_470,plain,
( op1(e13,e11) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_2_267,refute_2_469]) ).
cnf(refute_2_471,plain,
( e13 = e11
| op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_2_468,refute_2_470]) ).
cnf(refute_2_472,plain,
e11 != e13,
inference(canonicalize,[],[normalize_2_83]) ).
cnf(refute_2_473,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_2_474,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_2_473,refute_2_472]) ).
cnf(refute_2_475,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_2_471,refute_2_474]) ).
cnf(refute_2_476,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e11) ),[0],$fot(e10)]]) ).
cnf(refute_2_477,plain,
( op1(e11,e11) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_2_74,refute_2_476]) ).
cnf(refute_2_478,plain,
( e10 = e11
| op1(e10,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_2_475,refute_2_477]) ).
cnf(refute_2_479,plain,
( op1(e10,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_2_478,refute_2_274]) ).
cnf(refute_2_480,plain,
( op1(e12,e11) != e11
| op1(e12,e11) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e11) ),[0],$fot(e12)]]) ).
cnf(refute_2_481,plain,
( op1(e12,e11) != e11
| e12 = e11
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_2_406,refute_2_480]) ).
cnf(refute_2_482,plain,
( e12 = e11
| op1(e10,e11) = e11
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_2_479,refute_2_481]) ).
cnf(refute_2_483,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_2_482,refute_2_356]) ).
cnf(refute_2_484,plain,
( h4(op1(e10,e11)) != e21
| op1(e10,e11) != e12
| h4(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),e21) ),[0,0],$fot(e12)]]) ).
cnf(refute_2_485,plain,
( h4(op1(e10,e11)) != e21
| h4(e12) = e21
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_2_483,refute_2_484]) ).
cnf(refute_2_486,plain,
( h4(e12) = e21
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e21) )],[refute_2_467,refute_2_485]) ).
cnf(refute_2_487,plain,
( h4(e12) != e21
| h4(e12) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e21) ),[0],$fot(e22)]]) ).
cnf(refute_2_488,plain,
( h4(e12) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_2_241,refute_2_487]) ).
cnf(refute_2_489,plain,
( e22 = e21
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_2_486,refute_2_488]) ).
cnf(refute_2_490,plain,
op1(e10,e11) = e11,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_2_489,refute_2_331]) ).
cnf(refute_2_491,plain,
( op1(e10,e11) != e11
| op1(e10,e11) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[0],$fot(e11)]]) ).
cnf(refute_2_492,plain,
( op1(e10,e11) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_490,refute_2_491]) ).
cnf(refute_2_493,plain,
( e11 = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_2_406,refute_2_492]) ).
cnf(refute_2_494,plain,
op1(e12,e11) = e12,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_2_493,refute_2_358]) ).
cnf(refute_2_495,plain,
op1(e11,op1(e12,e11)) = op1(e11,op1(e12,e11)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e12,e11)))]]) ).
cnf(refute_2_496,plain,
( op1(e11,op1(e12,e11)) != op1(e11,op1(e12,e11))
| op1(e12,e11) != e12
| op1(e11,op1(e12,e11)) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e11,op1(e12,e11))) ),[1,1],$fot(e12)]]) ).
cnf(refute_2_497,plain,
( op1(e12,e11) != e12
| op1(e11,op1(e12,e11)) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e11,op1(e12,e11))) )],[refute_2_495,refute_2_496]) ).
cnf(refute_2_498,plain,
op1(e11,op1(e12,e11)) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_2_494,refute_2_497]) ).
cnf(refute_2_499,plain,
( op1(e11,e12) != op1(e12,e11)
| op1(e11,op1(e12,e11)) != op1(e11,e12)
| op1(e11,op1(e12,e11)) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e11,e12)) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_2_500,plain,
( op1(e11,e12) != op1(e12,e11)
| op1(e11,op1(e12,e11)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e11,e12)) )],[refute_2_498,refute_2_499]) ).
cnf(refute_2_501,plain,
( op1(e11,e12) != e12
| op1(e12,e11) != e12
| op1(e11,e12) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_2_502,plain,
( op1(e11,e12) != e12
| op1(e11,e12) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_2_494,refute_2_501]) ).
cnf(refute_2_503,plain,
( op1(e11,e12) != e12
| op1(e11,op1(e12,e11)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e11)) )],[refute_2_502,refute_2_500]) ).
cnf(refute_2_504,plain,
( op1(e11,e12) != e12
| ~ definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e12,e11)) )],[refute_2_503,refute_2_394]) ).
cnf(refute_2_505,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_2_84]) ).
cnf(refute_2_506,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(canonicalize,[],[normalize_2_85]) ).
cnf(refute_2_507,plain,
op1(e11,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_2_86]) ).
cnf(refute_2_508,plain,
( op1(e11,e10) != e12
| op1(e13,e10) != e12
| op1(e11,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_2_509,plain,
( op1(e11,e10) != e12
| op1(e11,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_2_49,refute_2_508]) ).
cnf(refute_2_510,plain,
op1(e11,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e13,e10)) )],[refute_2_509,refute_2_507]) ).
cnf(refute_2_511,plain,
( op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_2_506,refute_2_510]) ).
cnf(refute_2_512,plain,
( e10 = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_2_511,refute_2_404]) ).
cnf(refute_2_513,plain,
( op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_2_512,refute_2_278]) ).
cnf(refute_2_514,plain,
( op1(e10,e13) != e12
| op1(e11,e13) != e12
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_2_515,plain,
( op1(e10,e13) != e12
| op1(e10,e13) = op1(e11,e13)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_2_513,refute_2_514]) ).
cnf(refute_2_516,plain,
( op1(e10,e13) != e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_2_515,refute_2_505]) ).
cnf(refute_2_517,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_2_87]) ).
cnf(refute_2_518,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_2_88]) ).
cnf(refute_2_519,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_2_518,refute_2_344]) ).
cnf(refute_2_520,plain,
( op1(e10,e10) != e10
| op1(e10,e13) != e10
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e10,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_2_521,plain,
( op1(e10,e10) != e10
| op1(e10,e10) = op1(e10,e13)
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_2_519,refute_2_520]) ).
cnf(refute_2_522,plain,
( op1(e10,e10) != e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_2_521,refute_2_517]) ).
cnf(refute_2_523,plain,
( e10 != e10
| op1(e10,e10) != e10
| op1(e10,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_2_524,plain,
( e10 != e10
| op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_79,refute_2_523]) ).
cnf(refute_2_525,plain,
( e10 != e10
| op1(e10,e10) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_524,refute_2_522]) ).
cnf(refute_2_526,plain,
( op1(e10,e10) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_2_101,refute_2_525]) ).
cnf(refute_2_527,plain,
( e12 != e12
| op1(e10,e13) != e12
| op1(e10,e13) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(e12)]]) ).
cnf(refute_2_528,plain,
( e12 != e12
| op1(e10,e10) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_2_526,refute_2_527]) ).
cnf(refute_2_529,plain,
( e12 != e12
| op1(e10,e10) = e13
| op1(e10,e13) = e13
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_2_528,refute_2_516]) ).
cnf(refute_2_530,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_2_531,plain,
( op1(e10,e10) = e13
| op1(e10,e13) = e13
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_530,refute_2_529]) ).
cnf(refute_2_532,plain,
( e23 = e20
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_2_86,refute_2_378]) ).
cnf(refute_2_533,plain,
op1(e10,e10) = e10,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_2_532,refute_2_382]) ).
cnf(refute_2_534,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[0],$fot(e10)]]) ).
cnf(refute_2_535,plain,
( op1(e10,e10) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_533,refute_2_534]) ).
cnf(refute_2_536,plain,
( e10 = e13
| op1(e10,e13) = e13
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_2_531,refute_2_535]) ).
cnf(refute_2_537,plain,
( op1(e10,e13) = e13
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_2_536,refute_2_282]) ).
cnf(refute_2_538,plain,
( e12 != e12
| op1(e11,e12) != e12
| op1(e11,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_2_539,plain,
( e12 != e12
| op1(e10,e13) = e13
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_2_537,refute_2_538]) ).
cnf(refute_2_540,plain,
( e12 != e12
| ~ definitionFOFtoCNF_2
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_2_539,refute_2_504]) ).
cnf(refute_2_541,plain,
( ~ definitionFOFtoCNF_2
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_530,refute_2_540]) ).
cnf(refute_2_542,plain,
( op1(e10,op1(e13,e10)) != op1(e13,e10)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_2_96]) ).
cnf(refute_2_543,plain,
op1(e10,op1(e13,e10)) = op1(e10,op1(e13,e10)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e10)))]]) ).
cnf(refute_2_544,plain,
( op1(e10,op1(e13,e10)) != op1(e10,op1(e13,e10))
| op1(e13,e10) != e12
| op1(e10,op1(e13,e10)) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e10)),op1(e10,op1(e13,e10))) ),[1,1],$fot(e12)]]) ).
cnf(refute_2_545,plain,
( op1(e13,e10) != e12
| op1(e10,op1(e13,e10)) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e10)),op1(e10,op1(e13,e10))) )],[refute_2_543,refute_2_544]) ).
cnf(refute_2_546,plain,
op1(e10,op1(e13,e10)) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_2_49,refute_2_545]) ).
cnf(refute_2_547,plain,
( op1(e10,e12) != op1(e13,e10)
| op1(e10,op1(e13,e10)) != op1(e10,e12)
| op1(e10,op1(e13,e10)) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e10)),op1(e10,e12)) ),[1],$fot(op1(e13,e10))]]) ).
cnf(refute_2_548,plain,
( op1(e10,e12) != op1(e13,e10)
| op1(e10,op1(e13,e10)) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e10)),op1(e10,e12)) )],[refute_2_546,refute_2_547]) ).
cnf(refute_2_549,plain,
( op1(e10,e12) != e12
| op1(e13,e10) != e12
| op1(e10,e12) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_2_550,plain,
( op1(e10,e12) != e12
| op1(e10,e12) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_2_49,refute_2_549]) ).
cnf(refute_2_551,plain,
( op1(e10,e12) != e12
| op1(e10,op1(e13,e10)) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e10)) )],[refute_2_550,refute_2_548]) ).
cnf(refute_2_552,plain,
( op1(e10,e12) != e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e10)),op1(e13,e10)) )],[refute_2_551,refute_2_542]) ).
cnf(refute_2_553,plain,
op1(e11,e12) != op1(e11,e13),
inference(canonicalize,[],[normalize_2_97]) ).
cnf(refute_2_554,plain,
( op1(e11,op1(e13,e11)) != op1(e13,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_2_98]) ).
cnf(refute_2_555,plain,
op1(e11,op1(e13,e11)) = op1(e11,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e11)))]]) ).
cnf(refute_2_556,plain,
( op1(e11,op1(e13,e11)) != op1(e11,op1(e13,e11))
| op1(e13,e11) != e13
| op1(e11,op1(e13,e11)) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11))) ),[1,1],$fot(e13)]]) ).
cnf(refute_2_557,plain,
( op1(e13,e11) != e13
| op1(e11,op1(e13,e11)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11))) )],[refute_2_555,refute_2_556]) ).
cnf(refute_2_558,plain,
op1(e11,op1(e13,e11)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_2_267,refute_2_557]) ).
cnf(refute_2_559,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e11,op1(e13,e11)) != op1(e11,e13)
| op1(e11,op1(e13,e11)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,e13)) ),[1],$fot(op1(e13,e11))]]) ).
cnf(refute_2_560,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e11,op1(e13,e11)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,e13)) )],[refute_2_558,refute_2_559]) ).
cnf(refute_2_561,plain,
( op1(e11,e13) != e13
| op1(e13,e11) != e13
| op1(e11,e13) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_2_562,plain,
( op1(e11,e13) != e13
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_2_267,refute_2_561]) ).
cnf(refute_2_563,plain,
( op1(e11,e13) != e13
| op1(e11,op1(e13,e11)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_2_562,refute_2_560]) ).
cnf(refute_2_564,plain,
( op1(e11,e13) != e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e13,e11)) )],[refute_2_563,refute_2_554]) ).
cnf(refute_2_565,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_2_99]) ).
cnf(refute_2_566,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_100]) ).
cnf(refute_2_567,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_568,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_58,refute_2_567]) ).
cnf(refute_2_569,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_2_568,refute_2_566]) ).
cnf(refute_2_570,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_2_565,refute_2_569]) ).
cnf(refute_2_571,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_2_101]) ).
cnf(refute_2_572,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) != e10
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_2_573,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_2_74,refute_2_572]) ).
cnf(refute_2_574,plain,
e10 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_2_573,refute_2_571]) ).
cnf(refute_2_575,plain,
( op1(e11,e13) != e10
| e10 = op1(e11,e13) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e10))]]) ).
cnf(refute_2_576,plain,
op1(e11,e13) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e13)) )],[refute_2_575,refute_2_574]) ).
cnf(refute_2_577,plain,
( op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_2_570,refute_2_576]) ).
cnf(refute_2_578,plain,
( e13 != e13
| op1(e11,e13) != e13
| op1(e11,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_2_579,plain,
( e13 != e13
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_2_577,refute_2_578]) ).
cnf(refute_2_580,plain,
( e13 != e13
| op1(e11,e13) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_2_579,refute_2_564]) ).
cnf(refute_2_581,plain,
( op1(e11,e13) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_2_336,refute_2_580]) ).
cnf(refute_2_582,plain,
( op1(e11,e12) != e12
| op1(e11,e13) != e12
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_2_583,plain,
( op1(e11,e12) != e12
| op1(e11,e12) = op1(e11,e13)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_2_581,refute_2_582]) ).
cnf(refute_2_584,plain,
( op1(e11,e12) != e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_2_583,refute_2_553]) ).
cnf(refute_2_585,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_2_102]) ).
cnf(refute_2_586,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_2_103]) ).
cnf(refute_2_587,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_2_104]) ).
cnf(refute_2_588,plain,
( e12 != op1(e13,e12)
| op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_2_589,plain,
( e12 != op1(e13,e12)
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_2_49,refute_2_588]) ).
cnf(refute_2_590,plain,
e12 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_2_589,refute_2_587]) ).
cnf(refute_2_591,plain,
( op1(e13,e12) != e12
| e12 = op1(e13,e12) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e12))]]) ).
cnf(refute_2_592,plain,
op1(e13,e12) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e12)) )],[refute_2_591,refute_2_590]) ).
cnf(refute_2_593,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_2_586,refute_2_592]) ).
cnf(refute_2_594,plain,
( op1(e12,e11) != e12
| op1(e12,e12) != e12
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_2_595,plain,
( op1(e12,e11) != e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e11) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_2_593,refute_2_594]) ).
cnf(refute_2_596,plain,
( op1(e12,e11) != e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_2_595,refute_2_585]) ).
cnf(refute_2_597,plain,
( e12 != e12
| op1(e12,e11) != e12
| op1(e12,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[0,0],$fot(e12)]]) ).
cnf(refute_2_598,plain,
( e12 != e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_2_494,refute_2_597]) ).
cnf(refute_2_599,plain,
( e12 != e12
| op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_2_598,refute_2_596]) ).
cnf(refute_2_600,plain,
( e12 != e12
| op1(e10,e12) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_2_599,refute_2_584]) ).
cnf(refute_2_601,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_530,refute_2_600]) ).
cnf(refute_2_602,plain,
( op1(e10,op1(e11,e10)) != op1(e11,e10)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_2_106]) ).
cnf(refute_2_603,plain,
op1(e10,op1(e11,e10)) = op1(e10,op1(e11,e10)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e11,e10)))]]) ).
cnf(refute_2_604,plain,
( op1(e10,op1(e11,e10)) != op1(e10,op1(e11,e10))
| op1(e11,e10) != e11
| op1(e10,op1(e11,e10)) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e10)),op1(e10,op1(e11,e10))) ),[1,1],$fot(e11)]]) ).
cnf(refute_2_605,plain,
( op1(e11,e10) != e11
| op1(e10,op1(e11,e10)) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e10)),op1(e10,op1(e11,e10))) )],[refute_2_603,refute_2_604]) ).
cnf(refute_2_606,plain,
op1(e10,op1(e11,e10)) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_2_102,refute_2_605]) ).
cnf(refute_2_607,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e10,op1(e11,e10)) != op1(e10,e11)
| op1(e10,op1(e11,e10)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e10)),op1(e10,e11)) ),[1],$fot(op1(e11,e10))]]) ).
cnf(refute_2_608,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e10,op1(e11,e10)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e10)),op1(e10,e11)) )],[refute_2_606,refute_2_607]) ).
cnf(refute_2_609,plain,
( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e10,e11) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e10)) ),[1],$fot(e11)]]) ).
cnf(refute_2_610,plain,
( op1(e10,e11) != e11
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_2_102,refute_2_609]) ).
cnf(refute_2_611,plain,
( op1(e10,e11) != e11
| op1(e10,op1(e11,e10)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_2_610,refute_2_608]) ).
cnf(refute_2_612,plain,
( op1(e10,e11) != e11
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e10)),op1(e11,e10)) )],[refute_2_611,refute_2_602]) ).
cnf(refute_2_613,plain,
( e11 != e11
| op1(e10,e11) != e11
| op1(e10,e11) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_2_614,plain,
( e11 != e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_490,refute_2_613]) ).
cnf(refute_2_615,plain,
( e11 != e11
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_614,refute_2_612]) ).
cnf(refute_2_616,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_2_266,refute_2_615]) ).
cnf(refute_2_617,plain,
( op2(e20,op2(e21,e20)) != op2(e21,e20)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_2_111]) ).
cnf(refute_2_618,plain,
op2(e20,op2(e21,e20)) = op2(e20,op2(e21,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e20)))]]) ).
cnf(refute_2_619,plain,
( op2(e20,op2(e21,e20)) != op2(e20,op2(e21,e20))
| op2(e21,e20) != e21
| op2(e20,op2(e21,e20)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,op2(e21,e20))) ),[1,1],$fot(e21)]]) ).
cnf(refute_2_620,plain,
( op2(e21,e20) != e21
| op2(e20,op2(e21,e20)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,op2(e21,e20))) )],[refute_2_618,refute_2_619]) ).
cnf(refute_2_621,plain,
op2(e20,op2(e21,e20)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_2_433,refute_2_620]) ).
cnf(refute_2_622,plain,
( op2(e20,e21) != op2(e21,e20)
| op2(e20,op2(e21,e20)) != op2(e20,e21)
| op2(e20,op2(e21,e20)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,e21)) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_2_623,plain,
( op2(e20,e21) != op2(e21,e20)
| op2(e20,op2(e21,e20)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,e21)) )],[refute_2_621,refute_2_622]) ).
cnf(refute_2_624,plain,
( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e20,e21) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e20)) ),[1],$fot(e21)]]) ).
cnf(refute_2_625,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_2_433,refute_2_624]) ).
cnf(refute_2_626,plain,
( op2(e20,e21) != e21
| op2(e20,op2(e21,e20)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e20)) )],[refute_2_625,refute_2_623]) ).
cnf(refute_2_627,plain,
( op2(e20,e21) != e21
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e21,e20)) )],[refute_2_626,refute_2_617]) ).
cnf(refute_2_628,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_2_112]) ).
cnf(refute_2_629,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_2_628,refute_2_128]) ).
cnf(refute_2_630,plain,
( op2(e23,e21) != e21
| op2(e23,e21) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e23)]]) ).
cnf(refute_2_631,plain,
( op2(e23,e21) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_2_177,refute_2_630]) ).
cnf(refute_2_632,plain,
( e23 = e21
| h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_2_629,refute_2_631]) ).
cnf(refute_2_633,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_2_634,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_2_633,refute_2_139]) ).
cnf(refute_2_635,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_2_632,refute_2_634]) ).
cnf(refute_2_636,plain,
( e20 = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_2_635,refute_2_161]) ).
cnf(refute_2_637,plain,
( op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_2_636,refute_2_163]) ).
cnf(refute_2_638,plain,
( op2(e22,e21) != e21
| op2(e22,e21) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[0],$fot(e22)]]) ).
cnf(refute_2_639,plain,
( op2(e22,e21) != e21
| e22 = e21
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_2_189,refute_2_638]) ).
cnf(refute_2_640,plain,
( e22 = e21
| op2(e20,e21) = e21
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_2_637,refute_2_639]) ).
cnf(refute_2_641,plain,
( op2(e20,e21) = e21
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_2_640,refute_2_331]) ).
cnf(refute_2_642,plain,
( e21 != e21
| op2(e20,e21) = e21
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_2_641,refute_2_457]) ).
cnf(refute_2_643,plain,
( e21 != e21
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_2_642,refute_2_627]) ).
cnf(refute_2_644,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_176,refute_2_643]) ).
cnf(refute_2_645,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_2_113]) ).
cnf(refute_2_646,plain,
op2(h1(e11),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e11),op2(e20,e20)))]]) ).
cnf(refute_2_647,plain,
( op2(e20,e20) != h1(e11)
| op2(h1(e11),op2(e20,e20)) != op2(h1(e11),op2(e20,e20))
| op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_2_648,plain,
( op2(e20,e20) != h1(e11)
| op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) )],[refute_2_646,refute_2_647]) ).
cnf(refute_2_649,plain,
op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_8,refute_2_648]) ).
cnf(refute_2_650,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_2_651,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_2_652,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_2_650,refute_2_651]) ).
cnf(refute_2_653,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_8,refute_2_652]) ).
cnf(refute_2_654,plain,
( op2(h1(e11),op2(e20,e20)) != op2(h1(e11),h1(e11))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e11),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(subst,[],[refute_2_25:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e11),op2(e20,e20)))),bind(Z,$fot(op2(h1(e11),h1(e11))))]]) ).
cnf(refute_2_655,plain,
( op2(h1(e11),op2(e20,e20)) != op2(h1(e11),h1(e11))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) )],[refute_2_653,refute_2_654]) ).
cnf(refute_2_656,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),h1(e11))) )],[refute_2_649,refute_2_655]) ).
cnf(refute_2_657,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),h1(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e11),h1(e11))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_2_658,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| h1(e10) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e11),h1(e11))) )],[refute_2_656,refute_2_657]) ).
cnf(refute_2_659,plain,
h1(e10) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_2_645,refute_2_658]) ).
cnf(refute_2_660,plain,
( op2(e20,op2(e20,e20)) != op2(e20,e20)
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_2_115]) ).
cnf(refute_2_661,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_2_662,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_2_663,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_2_661,refute_2_662]) ).
cnf(refute_2_664,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_8,refute_2_663]) ).
cnf(refute_2_665,plain,
( op2(e20,h1(e11)) != op2(e20,e20)
| op2(e20,op2(e20,e20)) != op2(e20,h1(e11))
| op2(e20,op2(e20,e20)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e11))) ),[1],$fot(op2(e20,e20))]]) ).
cnf(refute_2_666,plain,
( op2(e20,h1(e11)) != op2(e20,e20)
| op2(e20,op2(e20,e20)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e11))) )],[refute_2_664,refute_2_665]) ).
cnf(refute_2_667,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,h1(e11)) != h1(e11)
| op2(e20,h1(e11)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e11)),op2(e20,e20)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_2_668,plain,
( op2(e20,h1(e11)) != h1(e11)
| op2(e20,h1(e11)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_8,refute_2_667]) ).
cnf(refute_2_669,plain,
( op2(e20,h1(e11)) != h1(e11)
| op2(e20,op2(e20,e20)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,e20)) )],[refute_2_668,refute_2_666]) ).
cnf(refute_2_670,plain,
( op2(e20,h1(e11)) != h1(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,e20)) )],[refute_2_669,refute_2_660]) ).
cnf(refute_2_671,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_2_117]) ).
cnf(refute_2_672,plain,
( h1(e11) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_2_671,refute_2_122]) ).
cnf(refute_2_673,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_2_672,refute_2_298]) ).
cnf(refute_2_674,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_2_675,plain,
( op2(e20,e20) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_8,refute_2_674]) ).
cnf(refute_2_676,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_2_673,refute_2_675]) ).
cnf(refute_2_677,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_2_678,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_8,refute_2_677]) ).
cnf(refute_2_679,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_2_676,refute_2_678]) ).
cnf(refute_2_680,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_2_118]) ).
cnf(refute_2_681,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_2_682,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_8,refute_2_681]) ).
cnf(refute_2_683,plain,
( h1(e11) != e22
| op2(e23,e20) != e22
| h1(e11) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_2_684,plain,
( h1(e11) != e22
| h1(e11) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_2_235,refute_2_683]) ).
cnf(refute_2_685,plain,
( h1(e11) != e22
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,e20)) )],[refute_2_684,refute_2_682]) ).
cnf(refute_2_686,plain,
h1(e11) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_2_685,refute_2_680]) ).
cnf(refute_2_687,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_2_679,refute_2_686]) ).
cnf(refute_2_688,plain,
( e21 != e21
| h1(e11) != e21
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_2_689,plain,
( e21 != e21
| h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_2_687,refute_2_688]) ).
cnf(refute_2_690,plain,
( e21 != e21
| h1(e11) = e20
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_2_689,refute_2_316]) ).
cnf(refute_2_691,plain,
( h1(e11) = e20
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_176,refute_2_690]) ).
cnf(refute_2_692,plain,
( h1(e11) != e20
| op2(e20,e20) != h1(e11)
| op2(e20,h1(e11)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e11)),h1(e11)) ),[0,1],$fot(e20)]]) ).
cnf(refute_2_693,plain,
( op2(e20,e20) != h1(e11)
| h1(e11) = e23
| op2(e20,h1(e11)) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_691,refute_2_692]) ).
cnf(refute_2_694,plain,
( op2(e20,e20) != h1(e11)
| h1(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),h1(e11)) )],[refute_2_693,refute_2_670]) ).
cnf(refute_2_695,plain,
( h1(e11) != h1(e11)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_2_696,plain,
( h1(e11) != h1(e11)
| op2(e20,e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_8,refute_2_695]) ).
cnf(refute_2_697,plain,
( h1(e11) != h1(e11)
| h1(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_696,refute_2_694]) ).
cnf(refute_2_698,plain,
h1(e11) = h1(e11),
introduced(tautology,[refl,[$fot(h1(e11))]]) ).
cnf(refute_2_699,plain,
( h1(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e11)) )],[refute_2_698,refute_2_697]) ).
cnf(refute_2_700,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e23
| h1(e10) = op2(e23,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_2_701,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(e23,h1(e11))
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_2_699,refute_2_700]) ).
cnf(refute_2_702,plain,
( h1(e10) = op2(e23,h1(e11))
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_2_659,refute_2_701]) ).
cnf(refute_2_703,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e23
| h1(e10) = op2(h1(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_2_704,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_2_699,refute_2_703]) ).
cnf(refute_2_705,plain,
( h1(e10) = op2(h1(e11),e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_2_659,refute_2_704]) ).
cnf(refute_2_706,plain,
( h1(e10) != op2(h1(e11),e23)
| h1(e11) != e23
| h1(e10) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_2_707,plain,
( h1(e10) != op2(h1(e11),e23)
| h1(e10) = op2(e23,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_2_699,refute_2_706]) ).
cnf(refute_2_708,plain,
( h1(e10) = op2(e23,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e23)) )],[refute_2_705,refute_2_707]) ).
cnf(refute_2_709,plain,
( h1(e10) != op2(e23,e23)
| op2(e23,e23) != e21
| h1(e10) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_2_710,plain,
( h1(e10) != op2(e23,e23)
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_135,refute_2_709]) ).
cnf(refute_2_711,plain,
( h1(e10) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,e23)) )],[refute_2_708,refute_2_710]) ).
cnf(refute_2_712,plain,
( h1(e10) != e21
| h1(e10) != op2(e23,h1(e11))
| e21 = op2(e23,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e23,h1(e11))) ),[0],$fot(e21)]]) ).
cnf(refute_2_713,plain,
( h1(e10) != op2(e23,h1(e11))
| e21 = op2(e23,h1(e11))
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_2_711,refute_2_712]) ).
cnf(refute_2_714,plain,
( e21 = op2(e23,h1(e11))
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,h1(e11))) )],[refute_2_702,refute_2_713]) ).
cnf(refute_2_715,plain,
( op2(e22,op2(e20,e22)) != op2(e20,e22)
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_2_119]) ).
cnf(refute_2_716,plain,
( op2(e20,e22) != e21
| op2(e22,op2(e20,e22)) != e21
| op2(e22,op2(e20,e22)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e20,e22)),op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_2_717,plain,
( op2(e22,op2(e20,e22)) != e21
| op2(e20,e21) = e21
| op2(e22,op2(e20,e22)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_2_317,refute_2_716]) ).
cnf(refute_2_718,plain,
( op2(e22,op2(e20,e22)) != e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e22)),op2(e20,e22)) )],[refute_2_717,refute_2_715]) ).
cnf(refute_2_719,plain,
( op2(e20,e22) != e21
| op2(e22,e21) != e21
| op2(e22,op2(e20,e22)) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,op2(e20,e22)),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_2_720,plain,
( op2(e22,e21) != e21
| op2(e20,e21) = e21
| op2(e22,op2(e20,e22)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_2_317,refute_2_719]) ).
cnf(refute_2_721,plain,
( op2(e22,e21) != e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e22)),e21) )],[refute_2_720,refute_2_718]) ).
cnf(refute_2_722,plain,
( e21 != e21
| op2(e22,e21) != e21
| op2(e22,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_2_723,plain,
( e21 != e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_2_637,refute_2_722]) ).
cnf(refute_2_724,plain,
( e21 != e21
| op2(e20,e21) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_2_723,refute_2_721]) ).
cnf(refute_2_725,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_176,refute_2_724]) ).
cnf(refute_2_726,plain,
( e22 = e21
| h1(e11) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_2_725,refute_2_323]) ).
cnf(refute_2_727,plain,
( h1(e11) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_2_726,refute_2_331]) ).
cnf(refute_2_728,plain,
( e21 != op2(e23,h1(e11))
| h1(e11) != e20
| e21 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(e23,h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_2_729,plain,
( e21 != op2(e23,h1(e11))
| e21 = op2(e23,e20)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_727,refute_2_728]) ).
cnf(refute_2_730,plain,
( e21 = op2(e23,e20)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,h1(e11))) )],[refute_2_714,refute_2_729]) ).
cnf(refute_2_731,plain,
( e21 != op2(e23,e20)
| op2(e23,e20) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e22) ),[0],$fot(op2(e23,e20))]]) ).
cnf(refute_2_732,plain,
( e21 != op2(e23,e20)
| e21 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_2_235,refute_2_731]) ).
cnf(refute_2_733,plain,
( e21 = e22
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e20)) )],[refute_2_730,refute_2_732]) ).
cnf(refute_2_734,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_2_733,refute_2_373]) ).
cnf(refute_2_735,plain,
( ~ definitionFOFtoCNF_3
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_2_734,refute_2_644]) ).
cnf(refute_2_736,plain,
( op1(e10,op1(e10,e10)) != op1(e10,e10)
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_2_121]) ).
cnf(refute_2_737,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != op1(e10,e10)
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e10,e10)),op1(e10,e10)) ),[0,1],$fot(e10)]]) ).
cnf(refute_2_738,plain,
( op1(e10,e10) != op1(e10,e10)
| op1(e10,e10) = e13
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_79,refute_2_737]) ).
cnf(refute_2_739,plain,
( op1(e10,e10) != op1(e10,e10)
| op1(e10,e10) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),op1(e10,e10)) )],[refute_2_738,refute_2_736]) ).
cnf(refute_2_740,plain,
op1(e10,e10) = op1(e10,e10),
introduced(tautology,[refl,[$fot(op1(e10,e10))]]) ).
cnf(refute_2_741,plain,
( op1(e10,e10) = e13
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e10)) )],[refute_2_740,refute_2_739]) ).
cnf(refute_2_742,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e13) = h1(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_2_741,refute_2_80]) ).
cnf(refute_2_743,plain,
( h4(e13) = h1(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_2_34,refute_2_742]) ).
cnf(refute_2_744,plain,
( e23 = h1(e11)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e13),h1(e11)) )],[refute_2_743,refute_2_85]) ).
cnf(refute_2_745,plain,
( e23 != h1(e11)
| h1(e11) = e23 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e23)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_2_746,plain,
( h1(e11) = e23
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_2_744,refute_2_745]) ).
cnf(refute_2_747,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(e23,h1(e11))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_2_746,refute_2_700]) ).
cnf(refute_2_748,plain,
( h1(e10) = op2(e23,h1(e11))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_2_659,refute_2_747]) ).
cnf(refute_2_749,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),e23)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_2_691,refute_2_703]) ).
cnf(refute_2_750,plain,
( h1(e10) = op2(h1(e11),e23)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_2_659,refute_2_749]) ).
cnf(refute_2_751,plain,
( h1(e10) != op2(h1(e11),e23)
| h1(e10) = op2(e23,e23)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_2_691,refute_2_706]) ).
cnf(refute_2_752,plain,
( h1(e10) = op2(e23,e23)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e23)) )],[refute_2_750,refute_2_751]) ).
cnf(refute_2_753,plain,
( h1(e10) = e21
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,e23)) )],[refute_2_752,refute_2_710]) ).
cnf(refute_2_754,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e20
| h1(e10) = op2(h1(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_2_755,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = e21
| h1(e10) = op2(h1(e11),e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_753,refute_2_754]) ).
cnf(refute_2_756,plain,
( h1(e10) = e21
| h1(e10) = op2(h1(e11),e20) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_2_659,refute_2_755]) ).
cnf(refute_2_757,plain,
( h1(e10) != op2(h1(e11),e20)
| h1(e11) != e23
| h1(e10) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),e20)) ),[1,0],$fot(e23)]]) ).
cnf(refute_2_758,plain,
( h1(e10) != op2(h1(e11),e20)
| h1(e10) = op2(e23,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_2_746,refute_2_757]) ).
cnf(refute_2_759,plain,
( h1(e10) = e21
| h1(e10) = op2(e23,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e20)) )],[refute_2_756,refute_2_758]) ).
cnf(refute_2_760,plain,
( h1(e10) != op2(e23,e20)
| op2(e23,e20) != e22
| h1(e10) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e22) ),[0],$fot(op2(e23,e20))]]) ).
cnf(refute_2_761,plain,
( h1(e10) != op2(e23,e20)
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_2_235,refute_2_760]) ).
cnf(refute_2_762,plain,
( h1(e10) = e21
| h1(e10) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,e20)) )],[refute_2_759,refute_2_761]) ).
cnf(refute_2_763,plain,
( h1(e10) != op2(h1(e11),e20)
| h1(e11) != e20
| h1(e10) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),e20)) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_764,plain,
( h1(e10) != op2(h1(e11),e20)
| h1(e10) = e21
| h1(e10) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_753,refute_2_763]) ).
cnf(refute_2_765,plain,
( h1(e10) = e21
| h1(e10) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e20)) )],[refute_2_756,refute_2_764]) ).
cnf(refute_2_766,plain,
( h1(e10) != op2(e20,e20)
| op2(e20,e20) != h1(e11)
| h1(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h1(e11)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_2_767,plain,
( h1(e10) != op2(e20,e20)
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_8,refute_2_766]) ).
cnf(refute_2_768,plain,
( h1(e10) = e21
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e20)) )],[refute_2_765,refute_2_767]) ).
cnf(refute_2_769,plain,
( h1(e10) != h1(e11)
| h1(e11) = h1(e10) ),
inference(subst,[],[refute_2_6:[bind(X,$fot(h1(e10))),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_2_770,plain,
( h1(e10) = e21
| h1(e11) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e11)) )],[refute_2_768,refute_2_769]) ).
cnf(refute_2_771,plain,
( h1(e10) != e22
| h1(e11) != h1(e10)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),h1(e10)) ),[1],$fot(e22)]]) ).
cnf(refute_2_772,plain,
( h1(e10) != e22
| h1(e10) = e21
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_2_770,refute_2_771]) ).
cnf(refute_2_773,plain,
( h1(e10) != e22
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_2_772,refute_2_686]) ).
cnf(refute_2_774,plain,
( h1(e10) != e21
| h1(e10) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e21) ),[0],$fot(e22)]]) ).
cnf(refute_2_775,plain,
( h1(e10) != e22
| e22 = e21 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_2_773,refute_2_774]) ).
cnf(refute_2_776,plain,
h1(e10) != e22,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_2_775,refute_2_331]) ).
cnf(refute_2_777,plain,
( h1(e10) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_2_762,refute_2_776]) ).
cnf(refute_2_778,plain,
( h1(e10) != op2(e23,h1(e11))
| e21 = op2(e23,h1(e11))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_2_777,refute_2_712]) ).
cnf(refute_2_779,plain,
( e21 = op2(e23,h1(e11))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,h1(e11))) )],[refute_2_748,refute_2_778]) ).
cnf(refute_2_780,plain,
( op2(e22,op2(e22,e22)) != op2(e22,e22)
| ~ definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_2_124]) ).
cnf(refute_2_781,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_2_782,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_2_783,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,op2(e22,e22)) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_2_781,refute_2_782]) ).
cnf(refute_2_784,plain,
op2(e22,op2(e22,e22)) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_2_116,refute_2_783]) ).
cnf(refute_2_785,plain,
( op2(e22,h3(e11)) != op2(e22,e22)
| op2(e22,op2(e22,e22)) != op2(e22,h3(e11))
| op2(e22,op2(e22,e22)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h3(e11))) ),[1],$fot(op2(e22,e22))]]) ).
cnf(refute_2_786,plain,
( op2(e22,h3(e11)) != op2(e22,e22)
| op2(e22,op2(e22,e22)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h3(e11))) )],[refute_2_784,refute_2_785]) ).
cnf(refute_2_787,plain,
( op2(e22,e22) != h3(e11)
| op2(e22,h3(e11)) != h3(e11)
| op2(e22,h3(e11)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,h3(e11)),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_2_788,plain,
( op2(e22,h3(e11)) != h3(e11)
| op2(e22,h3(e11)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_2_116,refute_2_787]) ).
cnf(refute_2_789,plain,
( op2(e22,h3(e11)) != h3(e11)
| op2(e22,op2(e22,e22)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,e22)) )],[refute_2_788,refute_2_786]) ).
cnf(refute_2_790,plain,
( op2(e22,h3(e11)) != h3(e11)
| ~ definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,e22)) )],[refute_2_789,refute_2_780]) ).
cnf(refute_2_791,plain,
( h3(e11) != e22
| op2(e22,e22) != h3(e11)
| op2(e22,h3(e11)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,h3(e11)),h3(e11)) ),[0,1],$fot(e22)]]) ).
cnf(refute_2_792,plain,
( op2(e22,e22) != h3(e11)
| h1(e11) = e20
| op2(e22,h3(e11)) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_2_164,refute_2_791]) ).
cnf(refute_2_793,plain,
( op2(e22,e22) != h3(e11)
| ~ definitionFOFtoCNF_5
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),h3(e11)) )],[refute_2_792,refute_2_790]) ).
cnf(refute_2_794,plain,
( h3(e11) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_2_795,plain,
( h3(e11) != h3(e11)
| op2(e22,e22) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_2_116,refute_2_794]) ).
cnf(refute_2_796,plain,
( h3(e11) != h3(e11)
| ~ definitionFOFtoCNF_5
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_2_795,refute_2_793]) ).
cnf(refute_2_797,plain,
h3(e11) = h3(e11),
introduced(tautology,[refl,[$fot(h3(e11))]]) ).
cnf(refute_2_798,plain,
( ~ definitionFOFtoCNF_5
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),h3(e11)) )],[refute_2_797,refute_2_796]) ).
cnf(refute_2_799,plain,
( op2(e22,op2(e23,e22)) != op2(e23,e22)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_2_129]) ).
cnf(refute_2_800,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_2_130]) ).
cnf(refute_2_801,plain,
( op2(e23,e20) != e20
| op2(e23,e20) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e20) ),[0],$fot(e22)]]) ).
cnf(refute_2_802,plain,
( op2(e23,e20) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_2_235,refute_2_801]) ).
cnf(refute_2_803,plain,
( e22 = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_2_800,refute_2_802]) ).
cnf(refute_2_804,plain,
( op2(e23,e21) != e20
| op2(e23,e21) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e20) ),[0],$fot(e23)]]) ).
cnf(refute_2_805,plain,
( op2(e23,e21) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_2_177,refute_2_804]) ).
cnf(refute_2_806,plain,
( e22 = e20
| e23 = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_2_803,refute_2_805]) ).
cnf(refute_2_807,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e21)]]) ).
cnf(refute_2_808,plain,
( op2(e23,e23) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_135,refute_2_807]) ).
cnf(refute_2_809,plain,
( e21 = e20
| e22 = e20
| e23 = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_806,refute_2_808]) ).
cnf(refute_2_810,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_2_811,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_2_810,refute_2_163]) ).
cnf(refute_2_812,plain,
( e22 = e20
| e23 = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_2_809,refute_2_811]) ).
cnf(refute_2_813,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_2_6:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_2_814,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_2_813,refute_2_188]) ).
cnf(refute_2_815,plain,
( e23 = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_2_812,refute_2_814]) ).
cnf(refute_2_816,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_2_815,refute_2_382]) ).
cnf(refute_2_817,plain,
op2(e22,op2(e23,e22)) = op2(e22,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e22)))]]) ).
cnf(refute_2_818,plain,
( op2(e22,op2(e23,e22)) != op2(e22,op2(e23,e22))
| op2(e23,e22) != e20
| op2(e22,op2(e23,e22)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e22)),op2(e22,op2(e23,e22))) ),[1,1],$fot(e20)]]) ).
cnf(refute_2_819,plain,
( op2(e23,e22) != e20
| op2(e22,op2(e23,e22)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e22)),op2(e22,op2(e23,e22))) )],[refute_2_817,refute_2_818]) ).
cnf(refute_2_820,plain,
op2(e22,op2(e23,e22)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_2_816,refute_2_819]) ).
cnf(refute_2_821,plain,
( op2(e22,e20) != op2(e23,e22)
| op2(e22,op2(e23,e22)) != op2(e22,e20)
| op2(e22,op2(e23,e22)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e22)),op2(e22,e20)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_2_822,plain,
( op2(e22,e20) != op2(e23,e22)
| op2(e22,op2(e23,e22)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e22)),op2(e22,e20)) )],[refute_2_820,refute_2_821]) ).
cnf(refute_2_823,plain,
( op2(e22,e20) != e20
| op2(e23,e22) != e20
| op2(e22,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_2_824,plain,
( op2(e22,e20) != e20
| op2(e22,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_2_816,refute_2_823]) ).
cnf(refute_2_825,plain,
( op2(e22,e20) != e20
| op2(e22,op2(e23,e22)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e23,e22)) )],[refute_2_824,refute_2_822]) ).
cnf(refute_2_826,plain,
( op2(e22,e20) != e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e22)),op2(e23,e22)) )],[refute_2_825,refute_2_799]) ).
cnf(refute_2_827,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(canonicalize,[],[normalize_2_131]) ).
cnf(refute_2_828,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_2_827,refute_2_122]) ).
cnf(refute_2_829,plain,
( e22 = e20
| h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_2_828,refute_2_802]) ).
cnf(refute_2_830,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_2_829,refute_2_814]) ).
cnf(refute_2_831,plain,
( op2(e21,e20) != e20
| op2(e21,e20) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[0],$fot(e21)]]) ).
cnf(refute_2_832,plain,
( op2(e21,e20) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_2_433,refute_2_831]) ).
cnf(refute_2_833,plain,
( e21 = e20
| h1(e11) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_2_830,refute_2_832]) ).
cnf(refute_2_834,plain,
( h1(e11) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_2_833,refute_2_811]) ).
cnf(refute_2_835,plain,
( e20 != e20
| op2(e22,e20) != e20
| op2(e22,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_2_836,plain,
( e20 != e20
| h1(e11) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_2_834,refute_2_835]) ).
cnf(refute_2_837,plain,
( e20 != e20
| h1(e11) = e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_2_836,refute_2_826]) ).
cnf(refute_2_838,plain,
( h1(e11) = e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_2_432,refute_2_837]) ).
cnf(refute_2_839,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),e20)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_838,refute_2_754]) ).
cnf(refute_2_840,plain,
( h1(e10) = op2(h1(e11),e20)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_2_659,refute_2_839]) ).
cnf(refute_2_841,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_2_132]) ).
cnf(refute_2_842,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_2_843,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_8,refute_2_842]) ).
cnf(refute_2_844,plain,
h1(e11) != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_2_843,refute_2_841]) ).
cnf(refute_2_845,plain,
( op2(e20,e20) != e23
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_2_133]) ).
cnf(refute_2_846,plain,
( h1(e11) != e23
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_2_847,plain,
( h1(e11) != e23
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_2_8,refute_2_846]) ).
cnf(refute_2_848,plain,
( h1(e11) != e23
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_2_847,refute_2_845]) ).
cnf(refute_2_849,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),e20)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_691,refute_2_754]) ).
cnf(refute_2_850,plain,
( h1(e10) = op2(h1(e11),e20)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_2_659,refute_2_849]) ).
cnf(refute_2_851,plain,
( h1(e10) != op2(h1(e11),e20)
| h1(e10) = op2(e20,e20)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_691,refute_2_763]) ).
cnf(refute_2_852,plain,
( h1(e10) = op2(e20,e20)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e20)) )],[refute_2_850,refute_2_851]) ).
cnf(refute_2_853,plain,
( h1(e10) = h1(e11)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e20)) )],[refute_2_852,refute_2_767]) ).
cnf(refute_2_854,plain,
( e23 != e23
| h1(e11) != e23
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_2_855,plain,
( e23 != e23
| h1(e10) = h1(e11)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_2_853,refute_2_854]) ).
cnf(refute_2_856,plain,
( e23 != e23
| h1(e10) = h1(e11)
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_2_855,refute_2_848]) ).
cnf(refute_2_857,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_2_858,plain,
( h1(e10) = h1(e11)
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_2_857,refute_2_856]) ).
cnf(refute_2_859,plain,
( h1(e11) != e20
| op2(e20,e23) != e20
| h1(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_2_860,plain,
( h1(e11) != e20
| h1(e10) = h1(e11)
| h1(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_2_858,refute_2_859]) ).
cnf(refute_2_861,plain,
( h1(e11) != e20
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e23)) )],[refute_2_860,refute_2_844]) ).
cnf(refute_2_862,plain,
( h1(e10) != h1(e11)
| h1(e11) != e20
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_2_863,plain,
( h1(e11) != e20
| h1(e10) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e11)) )],[refute_2_861,refute_2_862]) ).
cnf(refute_2_864,plain,
( e20 != e20
| h1(e10) = e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_837,refute_2_863]) ).
cnf(refute_2_865,plain,
( h1(e10) = e20
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_2_432,refute_2_864]) ).
cnf(refute_2_866,plain,
( h1(e10) != e20
| h1(e10) != op2(h1(e11),e20)
| e20 = op2(h1(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),e20)) ),[0],$fot(e20)]]) ).
cnf(refute_2_867,plain,
( h1(e10) != op2(h1(e11),e20)
| e20 = op2(h1(e11),e20)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_2_865,refute_2_866]) ).
cnf(refute_2_868,plain,
( e20 = op2(h1(e11),e20)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e20)) )],[refute_2_840,refute_2_867]) ).
cnf(refute_2_869,plain,
( e20 != op2(h1(e11),e20)
| h1(e11) != e23
| e20 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(h1(e11),e20)) ),[1,0],$fot(e23)]]) ).
cnf(refute_2_870,plain,
( e20 != op2(h1(e11),e20)
| e20 = op2(e23,e20)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_2_746,refute_2_869]) ).
cnf(refute_2_871,plain,
( e20 = op2(e23,e20)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,op2(h1(e11),e20)) )],[refute_2_868,refute_2_870]) ).
cnf(refute_2_872,plain,
( e20 != op2(e23,e20)
| op2(e23,e20) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e22) ),[0],$fot(op2(e23,e20))]]) ).
cnf(refute_2_873,plain,
( e20 != op2(e23,e20)
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_2_235,refute_2_872]) ).
cnf(refute_2_874,plain,
( e20 = e22
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,op2(e23,e20)) )],[refute_2_871,refute_2_873]) ).
cnf(refute_2_875,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_2_874,refute_2_188]) ).
cnf(refute_2_876,plain,
( h1(e11) = e20
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_2_875,refute_2_798]) ).
cnf(refute_2_877,plain,
( e21 != op2(e23,h1(e11))
| e21 = op2(e23,e20)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_2_876,refute_2_728]) ).
cnf(refute_2_878,plain,
( e21 = op2(e23,e20)
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,h1(e11))) )],[refute_2_779,refute_2_877]) ).
cnf(refute_2_879,plain,
( e21 = e22
| definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e20)) )],[refute_2_878,refute_2_732]) ).
cnf(refute_2_880,plain,
( definitionFOFtoCNF_1
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_2_879,refute_2_373]) ).
cnf(refute_2_881,plain,
( op2(e20,e21) = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_2_880,refute_2_735]) ).
cnf(refute_2_882,plain,
( h4(op1(e10,e12)) != e21
| h4(op1(e10,e12)) = op2(e20,e22)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_2_317,refute_2_443]) ).
cnf(refute_2_883,plain,
( h4(op1(e10,e12)) != e21
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_2_882,refute_2_255]) ).
cnf(refute_2_884,plain,
( e13 != op1(e10,e12)
| op1(e10,e10) = op1(e10,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_2_741,refute_2_221]) ).
cnf(refute_2_885,plain,
( e13 != op1(e10,e12)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_2_884,refute_2_214]) ).
cnf(refute_2_886,plain,
( e13 != e13
| e13 = op1(e10,e12)
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_2_289,refute_2_333]) ).
cnf(refute_2_887,plain,
( e13 != e13
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,op1(e10,e12)) )],[refute_2_886,refute_2_885]) ).
cnf(refute_2_888,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_2_336,refute_2_887]) ).
cnf(refute_2_889,plain,
( h4(e11) != e21
| h4(op1(e10,e12)) = e21
| op1(e10,e12) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_888,refute_2_446]) ).
cnf(refute_2_890,plain,
( h4(e11) != e21
| op1(e10,e12) = e12
| op2(e20,e21) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e21) )],[refute_2_889,refute_2_883]) ).
cnf(refute_2_891,plain,
( e21 != e21
| op1(e10,e12) = e12
| op2(e20,e21) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_2_450,refute_2_890]) ).
cnf(refute_2_892,plain,
( e21 != e21
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op1(e10,e12) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_2_891,refute_2_627]) ).
cnf(refute_2_893,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op1(e10,e12) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_2_176,refute_2_892]) ).
cnf(refute_2_894,plain,
( ~ definitionFOFtoCNF_3
| op1(e10,e12) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_2_734,refute_2_893]) ).
cnf(refute_2_895,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_2_880,refute_2_894]) ).
cnf(refute_2_896,plain,
( e11 = e12
| op1(e10,e11) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_895,refute_2_348]) ).
cnf(refute_2_897,plain,
( op1(e10,e11) = e11
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_2_896,refute_2_358]) ).
cnf(refute_2_898,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(e11) = op2(e20,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_897,refute_2_360]) ).
cnf(refute_2_899,plain,
( h4(e11) = op2(e20,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_2_213,refute_2_898]) ).
cnf(refute_2_900,plain,
( e21 = op2(e20,e21)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e21)) )],[refute_2_899,refute_2_364]) ).
cnf(refute_2_901,plain,
( op2(e20,e21) = e21
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_2_900,refute_2_366]) ).
cnf(refute_2_902,plain,
( op2(e20,e21) != e22
| e21 = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_2_901,refute_2_368]) ).
cnf(refute_2_903,plain,
( e21 = e22
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_2_881,refute_2_902]) ).
cnf(refute_2_904,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_2_903,refute_2_373]) ).
cnf(refute_2_905,plain,
~ definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_2_904,refute_2_616]) ).
cnf(refute_2_906,plain,
( op1(e10,e12) = e12
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_2_601,refute_2_905]) ).
cnf(refute_2_907,plain,
( e12 != e12
| op1(e10,e12) != e12
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0,1],$fot(e12)]]) ).
cnf(refute_2_908,plain,
( e12 != e12
| op1(e10,e12) = e12
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_906,refute_2_907]) ).
cnf(refute_2_909,plain,
( e12 != e12
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_908,refute_2_552]) ).
cnf(refute_2_910,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_2_530,refute_2_909]) ).
cnf(refute_2_911,plain,
definitionFOFtoCNF_2,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_2_910,refute_2_905]) ).
cnf(refute_2_912,plain,
op1(e10,e13) = e13,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_2_911,refute_2_541]) ).
cnf(refute_2_913,plain,
( e13 != e13
| op1(e10,e13) != e13
| op1(e10,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_2_914,plain,
( e13 != e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_2_912,refute_2_913]) ).
cnf(refute_2_915,plain,
( e13 != e13
| ~ definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_2_914,refute_2_393]) ).
cnf(refute_2_916,plain,
~ definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_2_336,refute_2_915]) ).
cnf(refute_2_917,plain,
$false,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_2_911,refute_2_916]) ).
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,
( ( 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_3_1,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_2,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_3_3,plain,
op2(e21,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_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_3_5,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_6,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_3_7,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_3_6]) ).
fof(normalize_3_8,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_3_6]) ).
fof(normalize_3_9,plain,
( ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_3_10,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_11,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_3_6]) ).
fof(normalize_3_12,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_3_13,plain,
e20 != e21,
inference(conjunct,[],[normalize_3_12]) ).
fof(normalize_3_14,plain,
e20 != e22,
inference(conjunct,[],[normalize_3_12]) ).
fof(normalize_3_15,plain,
e20 != e23,
inference(conjunct,[],[normalize_3_12]) ).
fof(normalize_3_16,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_17,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_18,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_3_19,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_3_18]) ).
fof(normalize_3_20,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(e20,op2(e22,e20)) = op2(e22,e20)
| op2(e21,op2(e22,e21)) = op2(e22,e21)
| op2(e22,op2(e22,e22)) = op2(e22,e22)
| op2(e23,op2(e22,e23)) = op2(e22,e23) ) ),
inference(canonicalize,[],[definition_9]) ).
fof(normalize_3_21,plain,
( ( op2(e20,op2(e22,e20)) != op2(e22,e20)
| ~ definitionFOFtoCNF_5 )
& ( op2(e21,op2(e22,e21)) != op2(e22,e21)
| ~ definitionFOFtoCNF_5 )
& ( op2(e22,op2(e22,e22)) != op2(e22,e22)
| ~ definitionFOFtoCNF_5 )
& ( op2(e23,op2(e22,e23)) != op2(e22,e23)
| ~ definitionFOFtoCNF_5 )
& ( op2(e20,op2(e22,e20)) = op2(e22,e20)
| op2(e21,op2(e22,e21)) = op2(e22,e21)
| op2(e22,op2(e22,e22)) = op2(e22,e22)
| op2(e23,op2(e22,e23)) = op2(e22,e23)
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_3_20]) ).
fof(normalize_3_22,plain,
( op2(e21,op2(e22,e21)) != op2(e22,e21)
| ~ definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_3_21]) ).
fof(normalize_3_23,plain,
( op2(e22,e22) != e21
| op2(e22,e21) = e22 ),
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_24,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_3_25,plain,
h3(e11) = op2(e22,e22),
inference(conjunct,[],[normalize_3_24]) ).
fof(normalize_3_26,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_27,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_28,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_29,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_3_30,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_3_29]) ).
fof(normalize_3_31,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_3_18]) ).
fof(normalize_3_32,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_3_24]) ).
fof(normalize_3_33,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_28,normalize_3_30,normalize_3_31,normalize_3_32]) ).
fof(normalize_3_34,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_3_33]) ).
fof(normalize_3_35,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_3_36,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_3_35]) ).
fof(normalize_3_37,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_3_35]) ).
fof(normalize_3_38,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_3_39,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_3_38]) ).
fof(normalize_3_40,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_3_41,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_3_40]) ).
fof(normalize_3_42,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_3_38]) ).
fof(normalize_3_43,plain,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_3_44,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_3_43]) ).
fof(normalize_3_45,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_3_38]) ).
fof(normalize_3_46,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(conjunct,[],[normalize_3_43]) ).
fof(normalize_3_47,plain,
h4(op1(e10,e13)) != op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_3_33]) ).
fof(normalize_3_48,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_3_35]) ).
fof(normalize_3_49,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_50,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_3_29]) ).
fof(normalize_3_51,plain,
( ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_3_52,plain,
( op1(e10,e10) != e13
| op1(e10,e13) = e10 ),
inference(conjunct,[],[normalize_3_51]) ).
fof(normalize_3_53,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_3_33]) ).
fof(normalize_3_54,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(conjunct,[],[normalize_3_40]) ).
fof(normalize_3_55,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_3_38]) ).
fof(normalize_3_56,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(conjunct,[],[normalize_3_43]) ).
fof(normalize_3_57,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e10 ),
inference(conjunct,[],[normalize_3_51]) ).
fof(normalize_3_58,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_3_38]) ).
fof(normalize_3_59,plain,
( op2(e20,e20) != e23
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_60,plain,
op2(e20,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_61,plain,
op1(e10,e10) != op1(e10,e13),
inference(conjunct,[],[normalize_3_38]) ).
fof(normalize_3_62,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_3_40]) ).
fof(normalize_3_63,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_3_38]) ).
fof(normalize_3_64,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_3_65,plain,
e10 != e13,
inference(conjunct,[],[normalize_3_64]) ).
fof(normalize_3_66,plain,
e21 != e23,
inference(conjunct,[],[normalize_3_12]) ).
fof(normalize_3_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_3_68,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_3_67]) ).
fof(normalize_3_69,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_3_38]) ).
fof(normalize_3_70,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_3_51]) ).
fof(normalize_3_71,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_72,plain,
( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ),
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_73,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(e20,op2(e20,e20)) = op2(e20,e20)
| op2(e21,op2(e20,e21)) = op2(e20,e21)
| op2(e22,op2(e20,e22)) = op2(e20,e22)
| op2(e23,op2(e20,e23)) = op2(e20,e23) )
& ( op2(e20,op2(e21,e20)) = op2(e21,e20)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e23,op2(e21,e23)) = op2(e21,e23) ) ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_3_74,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_3_75,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(e20,op2(e21,e20)) = op2(e21,e20)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e23,op2(e21,e23)) = op2(e21,e23) ) ) ),
inference(simplify,[],[normalize_3_73,normalize_3_74]) ).
fof(normalize_3_76,plain,
( definitionFOFtoCNF_3
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ),
inference(simplify,[],[normalize_3_72,normalize_3_75,normalize_3_74]) ).
fof(normalize_3_77,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ),
inference(simplify,[],[normalize_3_76,normalize_3_20]) ).
fof(normalize_3_78,plain,
( ( op2(e20,op2(e23,e20)) != op2(e23,e20)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e21,op2(e23,e21)) != op2(e23,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e22,op2(e23,e22)) != op2(e23,e22)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e23,op2(e23,e23)) != op2(e23,e23)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_3_77]) ).
fof(normalize_3_79,plain,
( op2(e21,op2(e23,e21)) != op2(e23,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_3_78]) ).
fof(normalize_3_80,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_81,plain,
( op2(e21,e21) != e23
| op2(e21,e23) = e21 ),
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_82,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_83,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( op2(e20,op2(e21,e20)) != op2(e21,e20)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e21,op2(e21,e21)) != op2(e21,e21)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e22,op2(e21,e22)) != op2(e21,e22)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e23,op2(e21,e23)) != op2(e21,e23)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e20,op2(e21,e20)) = op2(e21,e20)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e23,op2(e21,e23)) = op2(e21,e23)
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_3_75]) ).
fof(normalize_3_84,plain,
( op2(e20,op2(e21,e20)) != op2(e21,e20)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_3_83]) ).
fof(normalize_3_85,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_3_29]) ).
fof(normalize_3_86,plain,
( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
| definitionFOFtoCNF_4 )
& ( op2(e21,op2(e20,e21)) != op2(e20,e21)
| definitionFOFtoCNF_4 )
& ( op2(e22,op2(e20,e22)) != op2(e20,e22)
| definitionFOFtoCNF_4 )
& ( op2(e23,op2(e20,e23)) != op2(e20,e23)
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_4
| op2(e20,op2(e20,e20)) = op2(e20,e20)
| op2(e21,op2(e20,e21)) = op2(e20,e21)
| op2(e22,op2(e20,e22)) = op2(e20,e22)
| op2(e23,op2(e20,e23)) = op2(e20,e23) ) ),
inference(clausify,[],[normalize_3_74]) ).
fof(normalize_3_87,plain,
( op2(e20,op2(e20,e20)) != op2(e20,e20)
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_3_86]) ).
fof(normalize_3_88,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_89,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_90,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_91,plain,
( op2(e20,op2(e22,e20)) != op2(e22,e20)
| ~ definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_3_21]) ).
fof(normalize_3_92,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_93,plain,
e22 != e23,
inference(conjunct,[],[normalize_3_12]) ).
cnf(refute_3_0,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(canonicalize,[],[normalize_3_1]) ).
cnf(refute_3_1,plain,
op2(e21,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_3_3]) ).
cnf(refute_3_2,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_3_5]) ).
cnf(refute_3_3,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_3_7]) ).
cnf(refute_3_4,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_3_8]) ).
cnf(refute_3_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_3_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_3_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_3_5,refute_3_6]) ).
cnf(refute_3_8,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = e20 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_3_9,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_3_4,refute_3_8]) ).
cnf(refute_3_10,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
introduced(tautology,[refl,[$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_3_11,plain,
( op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) ),[1,1],$fot(e20)]]) ).
cnf(refute_3_12,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_3_10,refute_3_11]) ).
cnf(refute_3_13,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_3_9,refute_3_12]) ).
cnf(refute_3_14,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e20)) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_3_15,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_3_13,refute_3_14]) ).
cnf(refute_3_16,plain,
e22 = op2(e23,e20),
inference(resolve,[$cnf( $equal(e22,op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_3_3,refute_3_15]) ).
cnf(refute_3_17,plain,
( e22 != op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_3_18,plain,
op2(e23,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_3_16,refute_3_17]) ).
cnf(refute_3_19,plain,
( op2(e23,e20) != e20
| op2(e23,e20) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e20) ),[0],$fot(e22)]]) ).
cnf(refute_3_20,plain,
( op2(e23,e20) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_3_18,refute_3_19]) ).
cnf(refute_3_21,plain,
( e22 = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_3_2,refute_3_20]) ).
cnf(refute_3_22,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_3_10]) ).
cnf(refute_3_23,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_3_11]) ).
cnf(refute_3_24,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_3_25,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_3_23,refute_3_24]) ).
cnf(refute_3_26,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_3_27,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_25,refute_3_26]) ).
cnf(refute_3_28,plain,
( e21 != e21
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_27,refute_3_22]) ).
cnf(refute_3_29,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_3_30,plain,
op2(e23,e21) = e23,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_3_29,refute_3_28]) ).
cnf(refute_3_31,plain,
( op2(e23,e21) != e20
| op2(e23,e21) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e20) ),[0],$fot(e23)]]) ).
cnf(refute_3_32,plain,
( op2(e23,e21) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_3_30,refute_3_31]) ).
cnf(refute_3_33,plain,
( e22 = e20
| e23 = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_3_21,refute_3_32]) ).
cnf(refute_3_34,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e21)]]) ).
cnf(refute_3_35,plain,
( op2(e23,e23) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_25,refute_3_34]) ).
cnf(refute_3_36,plain,
( e21 = e20
| e22 = e20
| e23 = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_3_33,refute_3_35]) ).
cnf(refute_3_37,plain,
e20 != e21,
inference(canonicalize,[],[normalize_3_13]) ).
cnf(refute_3_38,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_3_39,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_3_38,refute_3_37]) ).
cnf(refute_3_40,plain,
( e22 = e20
| e23 = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_3_36,refute_3_39]) ).
cnf(refute_3_41,plain,
e20 != e22,
inference(canonicalize,[],[normalize_3_14]) ).
cnf(refute_3_42,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_3_43,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_3_42,refute_3_41]) ).
cnf(refute_3_44,plain,
( e23 = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_3_40,refute_3_43]) ).
cnf(refute_3_45,plain,
e20 != e23,
inference(canonicalize,[],[normalize_3_15]) ).
cnf(refute_3_46,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_3_47,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_3_46,refute_3_45]) ).
cnf(refute_3_48,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_3_44,refute_3_47]) ).
cnf(refute_3_49,plain,
( op2(e21,e22) != e20
| op2(e23,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_3_50,plain,
( op2(e21,e22) != e20
| op2(e21,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_3_48,refute_3_49]) ).
cnf(refute_3_51,plain,
op2(e21,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_3_50,refute_3_1]) ).
cnf(refute_3_52,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_3_0,refute_3_51]) ).
cnf(refute_3_53,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_3_16]) ).
cnf(refute_3_54,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_3_17]) ).
cnf(refute_3_55,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_3_19]) ).
cnf(refute_3_56,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_3_7:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_3_57,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_3_55,refute_3_56]) ).
cnf(refute_3_58,plain,
( h2(e11) != e20
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_3_59,plain,
( h2(e11) != e20
| op2(e21,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_3_57,refute_3_58]) ).
cnf(refute_3_60,plain,
( h2(e11) != e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_3_59,refute_3_54]) ).
cnf(refute_3_61,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_3_62,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_3_63,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_3_61,refute_3_62]) ).
cnf(refute_3_64,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_25,refute_3_63]) ).
cnf(refute_3_65,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_3_66,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_3_67,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_3_65,refute_3_66]) ).
cnf(refute_3_68,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_25,refute_3_67]) ).
cnf(refute_3_69,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_3_70,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_3_7,refute_3_69]) ).
cnf(refute_3_71,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_3_70:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_3_72,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_3_68,refute_3_71]) ).
cnf(refute_3_73,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_3_64,refute_3_72]) ).
cnf(refute_3_74,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_3_70:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_3_75,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_3_73,refute_3_74]) ).
cnf(refute_3_76,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_3_57,refute_3_75]) ).
cnf(refute_3_77,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| e20 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e11)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_3_78,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_3_76,refute_3_77]) ).
cnf(refute_3_79,plain,
e20 = h2(e11),
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_3_4,refute_3_78]) ).
cnf(refute_3_80,plain,
( e20 != h2(e11)
| h2(e11) = e20 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e20)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_3_81,plain,
h2(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h2(e11)) )],[refute_3_79,refute_3_80]) ).
cnf(refute_3_82,plain,
( e20 != e20
| h2(e11) != e20
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(e20)]]) ).
cnf(refute_3_83,plain,
( e20 != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_3_81,refute_3_82]) ).
cnf(refute_3_84,plain,
( e20 != e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_3_83,refute_3_60]) ).
cnf(refute_3_85,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_3_86,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_3_85,refute_3_84]) ).
cnf(refute_3_87,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_3_88,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_3_86,refute_3_87]) ).
cnf(refute_3_89,plain,
e21 != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_3_88,refute_3_53]) ).
cnf(refute_3_90,plain,
( op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
inference(subst,[],[refute_3_7:[bind(X,$fot(op2(e21,e22))),bind(Y,$fot(e21))]]) ).
cnf(refute_3_91,plain,
op2(e21,e22) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_3_90,refute_3_89]) ).
cnf(refute_3_92,plain,
( op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_3_52,refute_3_91]) ).
cnf(refute_3_93,plain,
( op2(e21,op2(e22,e21)) != op2(e22,e21)
| ~ definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_3_22]) ).
cnf(refute_3_94,plain,
( op2(e22,e22) != e21
| op2(e22,e21) = e22 ),
inference(canonicalize,[],[normalize_3_23]) ).
cnf(refute_3_95,plain,
h3(e11) = op2(e22,e22),
inference(canonicalize,[],[normalize_3_25]) ).
cnf(refute_3_96,plain,
( h3(e11) != op2(e22,e22)
| op2(e22,e22) = h3(e11) ),
inference(subst,[],[refute_3_7:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_3_97,plain,
op2(e22,e22) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_3_95,refute_3_96]) ).
cnf(refute_3_98,plain,
( h3(e11) != e21
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_3_99,plain,
( h3(e11) != e21
| op2(e22,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_3_97,refute_3_98]) ).
cnf(refute_3_100,plain,
( h3(e11) != e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_3_99,refute_3_94]) ).
cnf(refute_3_101,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_3_26]) ).
cnf(refute_3_102,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_3_103,plain,
( op2(e22,e22) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_3_97,refute_3_102]) ).
cnf(refute_3_104,plain,
( h3(e11) = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_3_101,refute_3_103]) ).
cnf(refute_3_105,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_3_27]) ).
cnf(refute_3_106,plain,
( op2(e23,e22) != e21
| op2(e23,e23) != e21
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_3_107,plain,
( op2(e23,e22) != e21
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_25,refute_3_106]) ).
cnf(refute_3_108,plain,
op2(e23,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_3_107,refute_3_105]) ).
cnf(refute_3_109,plain,
( h3(e11) = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_3_104,refute_3_108]) ).
cnf(refute_3_110,plain,
( h3(e11) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_3_109,refute_3_91]) ).
cnf(refute_3_111,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_3_34]) ).
cnf(refute_3_112,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_3_36]) ).
cnf(refute_3_113,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(subst,[],[refute_3_70:[bind(X,$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(e22))]]) ).
cnf(refute_3_114,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_3_13,refute_3_113]) ).
cnf(refute_3_115,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22,
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_3_18,refute_3_114]) ).
cnf(refute_3_116,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_3_117,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),e22) )],[refute_3_115,refute_3_116]) ).
cnf(refute_3_118,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_3_112,refute_3_117]) ).
cnf(refute_3_119,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_3_120,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) != op2(e20,h4(e12))
| op2(e20,h4(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_3_121,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_3_119,refute_3_120]) ).
cnf(refute_3_122,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_3_118,refute_3_121]) ).
cnf(refute_3_123,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_3_37]) ).
cnf(refute_3_124,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_3_125,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_3_9,refute_3_124]) ).
cnf(refute_3_126,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_3_123,refute_3_125]) ).
cnf(refute_3_127,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_3_128,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_3_129,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_3_127,refute_3_128]) ).
cnf(refute_3_130,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_3_126,refute_3_129]) ).
cnf(refute_3_131,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_3_70:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_3_132,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_3_130,refute_3_131]) ).
cnf(refute_3_133,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_3_122,refute_3_132]) ).
cnf(refute_3_134,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_3_135,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_3_133,refute_3_134]) ).
cnf(refute_3_136,plain,
h4(op1(e10,e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_3_111,refute_3_135]) ).
cnf(refute_3_137,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_3_39]) ).
cnf(refute_3_138,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_3_41]) ).
cnf(refute_3_139,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_3_42]) ).
cnf(refute_3_140,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_3_44]) ).
cnf(refute_3_141,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_3_142,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_3_140,refute_3_141]) ).
cnf(refute_3_143,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_3_144,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_142,refute_3_143]) ).
cnf(refute_3_145,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_3_144,refute_3_139]) ).
cnf(refute_3_146,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_3_138,refute_3_145]) ).
cnf(refute_3_147,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_3_45]) ).
cnf(refute_3_148,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(canonicalize,[],[normalize_3_46]) ).
cnf(refute_3_149,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_3_150,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_3_151,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_3_149,refute_3_150]) ).
cnf(refute_3_152,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_142,refute_3_151]) ).
cnf(refute_3_153,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_3_154,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_3_155,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_3_153,refute_3_154]) ).
cnf(refute_3_156,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_142,refute_3_155]) ).
cnf(refute_3_157,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_3_70:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_3_158,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_3_156,refute_3_157]) ).
cnf(refute_3_159,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_3_152,refute_3_158]) ).
cnf(refute_3_160,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_3_161,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| e10 = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_3_159,refute_3_160]) ).
cnf(refute_3_162,plain,
e10 = op1(e11,e11),
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_3_148,refute_3_161]) ).
cnf(refute_3_163,plain,
( e10 != op1(e11,e11)
| op1(e11,e11) = e10 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e11)))]]) ).
cnf(refute_3_164,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_3_162,refute_3_163]) ).
cnf(refute_3_165,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) != e10
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_3_166,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_3_164,refute_3_165]) ).
cnf(refute_3_167,plain,
e10 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_3_166,refute_3_147]) ).
cnf(refute_3_168,plain,
( op1(e11,e13) != e10
| e10 = op1(e11,e13) ),
inference(subst,[],[refute_3_7:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e10))]]) ).
cnf(refute_3_169,plain,
op1(e11,e13) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e13)) )],[refute_3_168,refute_3_167]) ).
cnf(refute_3_170,plain,
( op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_3_146,refute_3_169]) ).
cnf(refute_3_171,plain,
( op1(e10,e13) != e12
| op1(e11,e13) != e12
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_3_172,plain,
( op1(e10,e13) != e12
| op1(e10,e13) = op1(e11,e13)
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_3_170,refute_3_171]) ).
cnf(refute_3_173,plain,
( op1(e10,e13) != e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_3_172,refute_3_137]) ).
cnf(refute_3_174,plain,
h4(op1(e10,e13)) != op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_3_47]) ).
cnf(refute_3_175,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_3_48]) ).
cnf(refute_3_176,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_3_177,plain,
( h4(e13) != e23
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_3_178,plain,
( h4(e13) != e23
| op2(e20,h4(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_3_176,refute_3_177]) ).
cnf(refute_3_179,plain,
op2(e20,h4(e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_3_175,refute_3_178]) ).
cnf(refute_3_180,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_3_181,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_3_182,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_3_180,refute_3_181]) ).
cnf(refute_3_183,plain,
op2(h4(e10),h4(e13)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_3_126,refute_3_182]) ).
cnf(refute_3_184,plain,
( op2(e20,h4(e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) != op2(e20,h4(e13))
| op2(h4(e10),h4(e13)) = op2(e20,e23) ),
inference(subst,[],[refute_3_70:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_3_185,plain,
( op2(e20,h4(e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,h4(e13))) )],[refute_3_183,refute_3_184]) ).
cnf(refute_3_186,plain,
op2(h4(e10),h4(e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e23)) )],[refute_3_179,refute_3_185]) ).
cnf(refute_3_187,plain,
( h4(op1(e10,e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) != op2(e20,e23)
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_3_188,plain,
( h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,e23)) )],[refute_3_186,refute_3_187]) ).
cnf(refute_3_189,plain,
h4(op1(e10,e13)) != op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_3_188,refute_3_174]) ).
cnf(refute_3_190,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_3_49]) ).
cnf(refute_3_191,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_3_50]) ).
cnf(refute_3_192,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_3_7:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_3_193,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_3_191,refute_3_192]) ).
cnf(refute_3_194,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_3_195,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_3_193,refute_3_194]) ).
cnf(refute_3_196,plain,
( h1(e11) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_3_190,refute_3_195]) ).
cnf(refute_3_197,plain,
( op1(e10,e10) != e13
| op1(e10,e13) = e10 ),
inference(canonicalize,[],[normalize_3_52]) ).
cnf(refute_3_198,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_3_53]) ).
cnf(refute_3_199,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_3_200,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_3_201,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_3_199,refute_3_200]) ).
cnf(refute_3_202,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_3_126,refute_3_201]) ).
cnf(refute_3_203,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_3_204,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_3_205,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_3_203,refute_3_204]) ).
cnf(refute_3_206,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_3_126,refute_3_205]) ).
cnf(refute_3_207,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_3_70:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_3_208,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_3_206,refute_3_207]) ).
cnf(refute_3_209,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_3_202,refute_3_208]) ).
cnf(refute_3_210,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_3_70:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_3_211,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_3_209,refute_3_210]) ).
cnf(refute_3_212,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_3_193,refute_3_211]) ).
cnf(refute_3_213,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_3_214,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_3_212,refute_3_213]) ).
cnf(refute_3_215,plain,
h4(op1(e10,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_3_198,refute_3_214]) ).
cnf(refute_3_216,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(canonicalize,[],[normalize_3_54]) ).
cnf(refute_3_217,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_3_55]) ).
cnf(refute_3_218,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(canonicalize,[],[normalize_3_56]) ).
cnf(refute_3_219,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = e10 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_3_220,plain,
op1(op1(e13,e13),op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_3_148,refute_3_219]) ).
cnf(refute_3_221,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
introduced(tautology,[refl,[$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_3_222,plain,
( op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) ),[1,1],$fot(e10)]]) ).
cnf(refute_3_223,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_3_221,refute_3_222]) ).
cnf(refute_3_224,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e10) )],[refute_3_220,refute_3_223]) ).
cnf(refute_3_225,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,e10)
| e12 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e10)) ),[0],$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_3_226,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| e12 = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,e10)) )],[refute_3_224,refute_3_225]) ).
cnf(refute_3_227,plain,
e12 = op1(e13,e10),
inference(resolve,[$cnf( $equal(e12,op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_3_218,refute_3_226]) ).
cnf(refute_3_228,plain,
( e12 != op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e10)))]]) ).
cnf(refute_3_229,plain,
op1(e13,e10) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e10)) )],[refute_3_227,refute_3_228]) ).
cnf(refute_3_230,plain,
( op1(e10,e10) != e12
| op1(e13,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_3_231,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_3_229,refute_3_230]) ).
cnf(refute_3_232,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_3_231,refute_3_217]) ).
cnf(refute_3_233,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_3_216,refute_3_232]) ).
cnf(refute_3_234,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e10 ),
inference(canonicalize,[],[normalize_3_57]) ).
cnf(refute_3_235,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_3_58]) ).
cnf(refute_3_236,plain,
( op1(e10,e11) != e10
| op1(e11,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_3_237,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_3_164,refute_3_236]) ).
cnf(refute_3_238,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_3_237,refute_3_235]) ).
cnf(refute_3_239,plain,
op1(e10,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_3_234,refute_3_238]) ).
cnf(refute_3_240,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_3_233,refute_3_239]) ).
cnf(refute_3_241,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e10
| h4(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e10)]]) ).
cnf(refute_3_242,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e10) = h1(e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_3_240,refute_3_241]) ).
cnf(refute_3_243,plain,
( h4(e10) = h1(e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_3_215,refute_3_242]) ).
cnf(refute_3_244,plain,
( h4(e10) != e20
| h4(e10) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h1(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_3_245,plain,
( h4(e10) != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_3_126,refute_3_244]) ).
cnf(refute_3_246,plain,
( e20 = h1(e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_3_243,refute_3_245]) ).
cnf(refute_3_247,plain,
( e13 != e13
| op1(e10,e10) != e13
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(e13)]]) ).
cnf(refute_3_248,plain,
( e13 != e13
| e20 = h1(e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_3_246,refute_3_247]) ).
cnf(refute_3_249,plain,
( e13 != e13
| e20 = h1(e11)
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_3_248,refute_3_197]) ).
cnf(refute_3_250,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_3_251,plain,
( e20 = h1(e11)
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_3_250,refute_3_249]) ).
cnf(refute_3_252,plain,
( h4(e10) != op2(e20,e23)
| op1(e10,e13) != e10
| h4(op1(e10,e13)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0,0],$fot(e10)]]) ).
cnf(refute_3_253,plain,
( h4(e10) != op2(e20,e23)
| e20 = h1(e11)
| h4(op1(e10,e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_3_251,refute_3_252]) ).
cnf(refute_3_254,plain,
( h4(e10) != op2(e20,e23)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) )],[refute_3_253,refute_3_189]) ).
cnf(refute_3_255,plain,
( e20 != op2(e20,e23)
| h4(e10) != e20
| h4(e10) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_3_256,plain,
( e20 != op2(e20,e23)
| h4(e10) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_3_126,refute_3_255]) ).
cnf(refute_3_257,plain,
( e20 != op2(e20,e23)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e23)) )],[refute_3_256,refute_3_254]) ).
cnf(refute_3_258,plain,
( op2(e20,e20) != e23
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_3_59]) ).
cnf(refute_3_259,plain,
( h1(e11) != e23
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_3_260,plain,
( h1(e11) != e23
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_3_193,refute_3_259]) ).
cnf(refute_3_261,plain,
( h1(e11) != e23
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_3_260,refute_3_258]) ).
cnf(refute_3_262,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e13
| h4(e13) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_3_263,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e13) = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_3_240,refute_3_262]) ).
cnf(refute_3_264,plain,
( h4(e13) = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_3_215,refute_3_263]) ).
cnf(refute_3_265,plain,
( h4(e13) != e23
| h4(e13) != h1(e11)
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h1(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_3_266,plain,
( h4(e13) != h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_3_175,refute_3_265]) ).
cnf(refute_3_267,plain,
( e23 = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e13),h1(e11)) )],[refute_3_264,refute_3_266]) ).
cnf(refute_3_268,plain,
( h4(op1(e10,e10)) != h1(e11)
| e23 = h1(e11)
| h4(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_3_267,refute_3_241]) ).
cnf(refute_3_269,plain,
( e23 = h1(e11)
| h4(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_3_215,refute_3_268]) ).
cnf(refute_3_270,plain,
( e20 = h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_3_269,refute_3_245]) ).
cnf(refute_3_271,plain,
( e23 != h1(e11)
| h1(e11) = e23 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e23)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_3_272,plain,
( e20 = h1(e11)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_3_270,refute_3_271]) ).
cnf(refute_3_273,plain,
( e23 != e23
| h1(e11) != e23
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_3_274,plain,
( e23 != e23
| e20 = h1(e11)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_3_272,refute_3_273]) ).
cnf(refute_3_275,plain,
( e23 != e23
| e20 = h1(e11)
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_3_274,refute_3_261]) ).
cnf(refute_3_276,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_3_277,plain,
( e20 = h1(e11)
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_276,refute_3_275]) ).
cnf(refute_3_278,plain,
( e20 != e20
| op2(e20,e23) != e20
| e20 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e20,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_3_279,plain,
( e20 != e20
| e20 = h1(e11)
| e20 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_3_277,refute_3_278]) ).
cnf(refute_3_280,plain,
( e20 != e20
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e23)) )],[refute_3_279,refute_3_257]) ).
cnf(refute_3_281,plain,
e20 = h1(e11),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_3_85,refute_3_280]) ).
cnf(refute_3_282,plain,
( e20 != h1(e11)
| h1(e11) = e20 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e20)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_3_283,plain,
h1(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_3_281,refute_3_282]) ).
cnf(refute_3_284,plain,
( h1(e11) != e20
| h1(e11) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[0],$fot(e20)]]) ).
cnf(refute_3_285,plain,
( h1(e11) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_3_283,refute_3_284]) ).
cnf(refute_3_286,plain,
( e20 = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_3_196,refute_3_285]) ).
cnf(refute_3_287,plain,
( op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_3_286,refute_3_45]) ).
cnf(refute_3_288,plain,
op2(e20,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_3_60]) ).
cnf(refute_3_289,plain,
( op2(e20,e21) != e23
| op2(e23,e21) != e23
| op2(e20,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_3_290,plain,
( op2(e20,e21) != e23
| op2(e20,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_3_30,refute_3_289]) ).
cnf(refute_3_291,plain,
op2(e20,e21) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_3_290,refute_3_288]) ).
cnf(refute_3_292,plain,
( op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_3_287,refute_3_291]) ).
cnf(refute_3_293,plain,
( h4(op1(e10,e13)) != e23
| op2(e20,e23) != e23
| h4(op1(e10,e13)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_3_294,plain,
( h4(op1(e10,e13)) != e23
| h4(op1(e10,e13)) = op2(e20,e23)
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_3_292,refute_3_293]) ).
cnf(refute_3_295,plain,
( h4(op1(e10,e13)) != e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) )],[refute_3_294,refute_3_189]) ).
cnf(refute_3_296,plain,
op1(e10,e10) != op1(e10,e13),
inference(canonicalize,[],[normalize_3_61]) ).
cnf(refute_3_297,plain,
( e10 != op1(e10,e13)
| op1(e10,e10) != e10
| op1(e10,e10) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[1],$fot(op1(e10,e13))]]) ).
cnf(refute_3_298,plain,
( e10 != op1(e10,e13)
| op1(e10,e10) = e13
| op1(e10,e10) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_3_240,refute_3_297]) ).
cnf(refute_3_299,plain,
( e10 != op1(e10,e13)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_3_298,refute_3_296]) ).
cnf(refute_3_300,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_3_62]) ).
cnf(refute_3_301,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_3_63]) ).
cnf(refute_3_302,plain,
( op1(e10,e13) != e11
| op1(e13,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_3_303,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_142,refute_3_302]) ).
cnf(refute_3_304,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_3_303,refute_3_301]) ).
cnf(refute_3_305,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_3_300,refute_3_304]) ).
cnf(refute_3_306,plain,
( e10 != e10
| op1(e10,e13) != e10
| e10 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e10,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_3_307,plain,
( e10 != e10
| e10 = op1(e10,e13)
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_3_305,refute_3_306]) ).
cnf(refute_3_308,plain,
( e10 != e10
| op1(e10,e10) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(e10,op1(e10,e13)) )],[refute_3_307,refute_3_299]) ).
cnf(refute_3_309,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_3_310,plain,
( op1(e10,e10) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_3_309,refute_3_308]) ).
cnf(refute_3_311,plain,
( e23 != h1(e11)
| h1(e11) != e20
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_3_312,plain,
( e23 != h1(e11)
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_3_283,refute_3_311]) ).
cnf(refute_3_313,plain,
( e23 = e20
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_3_267,refute_3_312]) ).
cnf(refute_3_314,plain,
op1(e10,e10) = e10,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_3_313,refute_3_47]) ).
cnf(refute_3_315,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[0],$fot(e10)]]) ).
cnf(refute_3_316,plain,
( op1(e10,e10) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_3_314,refute_3_315]) ).
cnf(refute_3_317,plain,
( e10 = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_3_310,refute_3_316]) ).
cnf(refute_3_318,plain,
e10 != e13,
inference(canonicalize,[],[normalize_3_65]) ).
cnf(refute_3_319,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_3_317,refute_3_318]) ).
cnf(refute_3_320,plain,
( h4(e13) != e23
| op1(e10,e13) != e13
| h4(op1(e10,e13)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),e23) ),[0,0],$fot(e13)]]) ).
cnf(refute_3_321,plain,
( h4(e13) != e23
| h4(op1(e10,e13)) = e23
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_3_319,refute_3_320]) ).
cnf(refute_3_322,plain,
( h4(e13) != e23
| op1(e10,e13) = e12
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e23) )],[refute_3_321,refute_3_295]) ).
cnf(refute_3_323,plain,
( e23 != e23
| h4(e13) != e23
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_3_324,plain,
( e23 != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_3_175,refute_3_323]) ).
cnf(refute_3_325,plain,
( e23 != e23
| op1(e10,e13) = e12
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_3_324,refute_3_322]) ).
cnf(refute_3_326,plain,
( op1(e10,e13) = e12
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_276,refute_3_325]) ).
cnf(refute_3_327,plain,
( op2(e20,e22) != e21
| op2(e20,e22) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[0],$fot(e23)]]) ).
cnf(refute_3_328,plain,
( op2(e20,e22) != e21
| e23 = e21
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_3_326,refute_3_327]) ).
cnf(refute_3_329,plain,
( e23 = e21
| h3(e11) = e21
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_3_110,refute_3_328]) ).
cnf(refute_3_330,plain,
e21 != e23,
inference(canonicalize,[],[normalize_3_66]) ).
cnf(refute_3_331,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_3_332,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_3_331,refute_3_330]) ).
cnf(refute_3_333,plain,
( h3(e11) = e21
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_3_329,refute_3_332]) ).
cnf(refute_3_334,plain,
( e12 != e12
| op1(e10,e13) != e12
| op1(e10,e13) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(e12)]]) ).
cnf(refute_3_335,plain,
( e12 != e12
| h3(e11) = e21
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_3_333,refute_3_334]) ).
cnf(refute_3_336,plain,
( e12 != e12
| h3(e11) = e21
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_3_335,refute_3_173]) ).
cnf(refute_3_337,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_3_338,plain,
( h3(e11) = e21
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_3_337,refute_3_336]) ).
cnf(refute_3_339,plain,
( op1(e10,e13) != e13
| op1(e11,e13) != e13
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_3_340,plain,
( op1(e10,e13) != e13
| h3(e11) = e21
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_3_338,refute_3_339]) ).
cnf(refute_3_341,plain,
( op1(e10,e13) != e13
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_3_340,refute_3_137]) ).
cnf(refute_3_342,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_3_68]) ).
cnf(refute_3_343,plain,
( e10 = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_3_342,refute_3_316]) ).
cnf(refute_3_344,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_3_343,refute_3_318]) ).
cnf(refute_3_345,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_3_69]) ).
cnf(refute_3_346,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_3_70]) ).
cnf(refute_3_347,plain,
( e11 != e11
| op1(e13,e13) != e11
| op1(e13,e13) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).
cnf(refute_3_348,plain,
( e11 != e11
| op1(e13,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_142,refute_3_347]) ).
cnf(refute_3_349,plain,
( e11 != e11
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_348,refute_3_346]) ).
cnf(refute_3_350,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_3_351,plain,
op1(e13,e11) = e13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_3_350,refute_3_349]) ).
cnf(refute_3_352,plain,
( op1(e10,e11) != e13
| op1(e13,e11) != e13
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_3_353,plain,
( op1(e10,e11) != e13
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_3_351,refute_3_352]) ).
cnf(refute_3_354,plain,
op1(e10,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_3_353,refute_3_345]) ).
cnf(refute_3_355,plain,
( op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_3_344,refute_3_354]) ).
cnf(refute_3_356,plain,
( e13 != e13
| op1(e10,e13) != e13
| op1(e10,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_3_357,plain,
( e13 != e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_3_355,refute_3_356]) ).
cnf(refute_3_358,plain,
( e13 != e13
| h3(e11) = e21
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_3_357,refute_3_341]) ).
cnf(refute_3_359,plain,
( h3(e11) = e21
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_3_250,refute_3_358]) ).
cnf(refute_3_360,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e13
| h4(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e13)]]) ).
cnf(refute_3_361,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h3(e11) = e21
| h4(e13) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_3_359,refute_3_360]) ).
cnf(refute_3_362,plain,
( h3(e11) = e21
| h4(e13) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_3_136,refute_3_361]) ).
cnf(refute_3_363,plain,
( h4(e13) != e23
| h4(e13) != op2(e20,e22)
| e23 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e20,e22)) ),[0],$fot(e23)]]) ).
cnf(refute_3_364,plain,
( h4(e13) != op2(e20,e22)
| e23 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_3_175,refute_3_363]) ).
cnf(refute_3_365,plain,
( e23 = op2(e20,e22)
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e22)) )],[refute_3_362,refute_3_364]) ).
cnf(refute_3_366,plain,
( e23 != op2(e20,e22)
| op2(e20,e22) = e23 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_3_367,plain,
( h3(e11) = e21
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e22)) )],[refute_3_365,refute_3_366]) ).
cnf(refute_3_368,plain,
( op2(e20,e22) != e21
| e23 = e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_3_367,refute_3_327]) ).
cnf(refute_3_369,plain,
( e23 = e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_3_110,refute_3_368]) ).
cnf(refute_3_370,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_3_369,refute_3_332]) ).
cnf(refute_3_371,plain,
( e21 != e21
| h3(e11) != e21
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_3_372,plain,
( e21 != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_3_370,refute_3_371]) ).
cnf(refute_3_373,plain,
( e21 != e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_3_372,refute_3_100]) ).
cnf(refute_3_374,plain,
op2(e22,e21) = e22,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_3_29,refute_3_373]) ).
cnf(refute_3_375,plain,
op2(e21,op2(e22,e21)) = op2(e21,op2(e22,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e21)))]]) ).
cnf(refute_3_376,plain,
( op2(e21,op2(e22,e21)) != op2(e21,op2(e22,e21))
| op2(e22,e21) != e22
| op2(e21,op2(e22,e21)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e21)),op2(e21,op2(e22,e21))) ),[1,1],$fot(e22)]]) ).
cnf(refute_3_377,plain,
( op2(e22,e21) != e22
| op2(e21,op2(e22,e21)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e21)),op2(e21,op2(e22,e21))) )],[refute_3_375,refute_3_376]) ).
cnf(refute_3_378,plain,
op2(e21,op2(e22,e21)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_3_374,refute_3_377]) ).
cnf(refute_3_379,plain,
( op2(e21,e22) != op2(e22,e21)
| op2(e21,op2(e22,e21)) != op2(e21,e22)
| op2(e21,op2(e22,e21)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e21)),op2(e21,e22)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_3_380,plain,
( op2(e21,e22) != op2(e22,e21)
| op2(e21,op2(e22,e21)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e21)),op2(e21,e22)) )],[refute_3_378,refute_3_379]) ).
cnf(refute_3_381,plain,
( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e21,e22) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_3_382,plain,
( op2(e21,e22) != e22
| op2(e21,e22) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_3_374,refute_3_381]) ).
cnf(refute_3_383,plain,
( op2(e21,e22) != e22
| op2(e21,op2(e22,e21)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e21)) )],[refute_3_382,refute_3_380]) ).
cnf(refute_3_384,plain,
( op2(e21,e22) != e22
| ~ definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e21)),op2(e22,e21)) )],[refute_3_383,refute_3_93]) ).
cnf(refute_3_385,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_3_71]) ).
cnf(refute_3_386,plain,
( op2(e21,op2(e23,e21)) != op2(e23,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_3_79]) ).
cnf(refute_3_387,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_3_388,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != e23
| op2(e21,op2(e23,e21)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(e23)]]) ).
cnf(refute_3_389,plain,
( op2(e23,e21) != e23
| op2(e21,op2(e23,e21)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_3_387,refute_3_388]) ).
cnf(refute_3_390,plain,
op2(e21,op2(e23,e21)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_3_30,refute_3_389]) ).
cnf(refute_3_391,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e21,op2(e23,e21)) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,e23)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_3_392,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e21,op2(e23,e21)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,e23)) )],[refute_3_390,refute_3_391]) ).
cnf(refute_3_393,plain,
( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_3_394,plain,
( op2(e21,e23) != e23
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_3_30,refute_3_393]) ).
cnf(refute_3_395,plain,
( op2(e21,e23) != e23
| op2(e21,op2(e23,e21)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_3_394,refute_3_392]) ).
cnf(refute_3_396,plain,
( op2(e21,e23) != e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e23,e21)) )],[refute_3_395,refute_3_386]) ).
cnf(refute_3_397,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_3_80]) ).
cnf(refute_3_398,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_3_399,plain,
( op2(e21,e21) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_3_57,refute_3_398]) ).
cnf(refute_3_400,plain,
( h2(e11) = e23
| op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_3_397,refute_3_399]) ).
cnf(refute_3_401,plain,
( op2(e21,e21) != e23
| op2(e21,e23) = e21 ),
inference(canonicalize,[],[normalize_3_81]) ).
cnf(refute_3_402,plain,
( h2(e11) != e23
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_3_403,plain,
( h2(e11) != e23
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_3_57,refute_3_402]) ).
cnf(refute_3_404,plain,
( h2(e11) != e23
| op2(e21,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_3_403,refute_3_401]) ).
cnf(refute_3_405,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_3_82]) ).
cnf(refute_3_406,plain,
( op2(e21,e23) != e21
| op2(e23,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_3_407,plain,
( op2(e21,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_25,refute_3_406]) ).
cnf(refute_3_408,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_3_407,refute_3_405]) ).
cnf(refute_3_409,plain,
h2(e11) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_3_404,refute_3_408]) ).
cnf(refute_3_410,plain,
( op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_3_400,refute_3_409]) ).
cnf(refute_3_411,plain,
( op2(e21,e20) != e21
| op2(e21,e20) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[0],$fot(e21)]]) ).
cnf(refute_3_412,plain,
( op2(e21,e20) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_3_86,refute_3_411]) ).
cnf(refute_3_413,plain,
( e21 = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_3_410,refute_3_412]) ).
cnf(refute_3_414,plain,
( op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_3_413,refute_3_330]) ).
cnf(refute_3_415,plain,
( e23 != e23
| op2(e21,e23) != e23
| op2(e21,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_3_416,plain,
( e23 != e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_3_414,refute_3_415]) ).
cnf(refute_3_417,plain,
( e23 != e23
| op2(e21,e22) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_3_416,refute_3_396]) ).
cnf(refute_3_418,plain,
( op2(e21,e22) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_276,refute_3_417]) ).
cnf(refute_3_419,plain,
( op2(e20,e22) != e23
| op2(e21,e22) != e23
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_3_420,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e21,e22)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_3_418,refute_3_419]) ).
cnf(refute_3_421,plain,
( op2(e20,e22) != e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_3_420,refute_3_385]) ).
cnf(refute_3_422,plain,
( h4(e13) != e23
| h4(op1(e10,e13)) = e23
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_3_355,refute_3_320]) ).
cnf(refute_3_423,plain,
( h4(e13) != e23
| op1(e10,e12) = e13
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e23) )],[refute_3_422,refute_3_295]) ).
cnf(refute_3_424,plain,
( e23 != e23
| op1(e10,e12) = e13
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_3_324,refute_3_423]) ).
cnf(refute_3_425,plain,
( e23 != e23
| op1(e10,e12) = e13
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_3_424,refute_3_421]) ).
cnf(refute_3_426,plain,
( op1(e10,e12) = e13
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_276,refute_3_425]) ).
cnf(refute_3_427,plain,
( op2(e20,op2(e21,e20)) != op2(e21,e20)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_3_84]) ).
cnf(refute_3_428,plain,
op2(e20,op2(e21,e20)) = op2(e20,op2(e21,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e20)))]]) ).
cnf(refute_3_429,plain,
( op2(e20,op2(e21,e20)) != op2(e20,op2(e21,e20))
| op2(e21,e20) != e21
| op2(e20,op2(e21,e20)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,op2(e21,e20))) ),[1,1],$fot(e21)]]) ).
cnf(refute_3_430,plain,
( op2(e21,e20) != e21
| op2(e20,op2(e21,e20)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,op2(e21,e20))) )],[refute_3_428,refute_3_429]) ).
cnf(refute_3_431,plain,
op2(e20,op2(e21,e20)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_3_86,refute_3_430]) ).
cnf(refute_3_432,plain,
( op2(e20,e21) != op2(e21,e20)
| op2(e20,op2(e21,e20)) != op2(e20,e21)
| op2(e20,op2(e21,e20)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,e21)) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_3_433,plain,
( op2(e20,e21) != op2(e21,e20)
| op2(e20,op2(e21,e20)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,e21)) )],[refute_3_431,refute_3_432]) ).
cnf(refute_3_434,plain,
( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e20,e21) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e20)) ),[1],$fot(e21)]]) ).
cnf(refute_3_435,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_3_86,refute_3_434]) ).
cnf(refute_3_436,plain,
( op2(e20,e21) != e21
| op2(e20,op2(e21,e20)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e20)) )],[refute_3_435,refute_3_433]) ).
cnf(refute_3_437,plain,
( op2(e20,e21) != e21
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e21,e20)) )],[refute_3_436,refute_3_427]) ).
cnf(refute_3_438,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_3_85]) ).
cnf(refute_3_439,plain,
op2(h1(e11),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e11),op2(e20,e20)))]]) ).
cnf(refute_3_440,plain,
( op2(e20,e20) != h1(e11)
| op2(h1(e11),op2(e20,e20)) != op2(h1(e11),op2(e20,e20))
| op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_3_441,plain,
( op2(e20,e20) != h1(e11)
| op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) )],[refute_3_439,refute_3_440]) ).
cnf(refute_3_442,plain,
op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_3_193,refute_3_441]) ).
cnf(refute_3_443,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_3_444,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_3_445,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_3_443,refute_3_444]) ).
cnf(refute_3_446,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_3_193,refute_3_445]) ).
cnf(refute_3_447,plain,
( op2(h1(e11),op2(e20,e20)) != op2(h1(e11),h1(e11))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e11),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(subst,[],[refute_3_70:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e11),op2(e20,e20)))),bind(Z,$fot(op2(h1(e11),h1(e11))))]]) ).
cnf(refute_3_448,plain,
( op2(h1(e11),op2(e20,e20)) != op2(h1(e11),h1(e11))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) )],[refute_3_446,refute_3_447]) ).
cnf(refute_3_449,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),h1(e11))) )],[refute_3_442,refute_3_448]) ).
cnf(refute_3_450,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),h1(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e11),h1(e11))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_3_451,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| h1(e10) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e11),h1(e11))) )],[refute_3_449,refute_3_450]) ).
cnf(refute_3_452,plain,
h1(e10) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_3_438,refute_3_451]) ).
cnf(refute_3_453,plain,
( op2(e20,op2(e20,e20)) != op2(e20,e20)
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_3_87]) ).
cnf(refute_3_454,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_3_455,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_3_456,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_3_454,refute_3_455]) ).
cnf(refute_3_457,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_3_193,refute_3_456]) ).
cnf(refute_3_458,plain,
( op2(e20,h1(e11)) != op2(e20,e20)
| op2(e20,op2(e20,e20)) != op2(e20,h1(e11))
| op2(e20,op2(e20,e20)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e11))) ),[1],$fot(op2(e20,e20))]]) ).
cnf(refute_3_459,plain,
( op2(e20,h1(e11)) != op2(e20,e20)
| op2(e20,op2(e20,e20)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e11))) )],[refute_3_457,refute_3_458]) ).
cnf(refute_3_460,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,h1(e11)) != h1(e11)
| op2(e20,h1(e11)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e11)),op2(e20,e20)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_3_461,plain,
( op2(e20,h1(e11)) != h1(e11)
| op2(e20,h1(e11)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_3_193,refute_3_460]) ).
cnf(refute_3_462,plain,
( op2(e20,h1(e11)) != h1(e11)
| op2(e20,op2(e20,e20)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,e20)) )],[refute_3_461,refute_3_459]) ).
cnf(refute_3_463,plain,
( op2(e20,h1(e11)) != h1(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,e20)) )],[refute_3_462,refute_3_453]) ).
cnf(refute_3_464,plain,
( e23 = h1(e11)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_3_270,refute_3_282]) ).
cnf(refute_3_465,plain,
( h1(e11) != e20
| op2(e20,e20) != h1(e11)
| op2(e20,h1(e11)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e11)),h1(e11)) ),[0,1],$fot(e20)]]) ).
cnf(refute_3_466,plain,
( op2(e20,e20) != h1(e11)
| e23 = h1(e11)
| op2(e20,h1(e11)) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_3_464,refute_3_465]) ).
cnf(refute_3_467,plain,
( op2(e20,e20) != h1(e11)
| e23 = h1(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),h1(e11)) )],[refute_3_466,refute_3_463]) ).
cnf(refute_3_468,plain,
( h1(e11) != h1(e11)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_3_469,plain,
( h1(e11) != h1(e11)
| op2(e20,e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_3_193,refute_3_468]) ).
cnf(refute_3_470,plain,
( h1(e11) != h1(e11)
| e23 = h1(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_3_469,refute_3_467]) ).
cnf(refute_3_471,plain,
h1(e11) = h1(e11),
introduced(tautology,[refl,[$fot(h1(e11))]]) ).
cnf(refute_3_472,plain,
( e23 = h1(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e11)) )],[refute_3_471,refute_3_470]) ).
cnf(refute_3_473,plain,
( h1(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_3_472,refute_3_271]) ).
cnf(refute_3_474,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e23
| h1(e10) = op2(h1(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_3_475,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_3_473,refute_3_474]) ).
cnf(refute_3_476,plain,
( h1(e10) = op2(h1(e11),e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_3_452,refute_3_475]) ).
cnf(refute_3_477,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e23
| h1(e10) = op2(e23,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_3_478,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(e23,h1(e11))
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_3_473,refute_3_477]) ).
cnf(refute_3_479,plain,
( h1(e10) = op2(e23,h1(e11))
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_3_452,refute_3_478]) ).
cnf(refute_3_480,plain,
( h1(e10) != op2(e23,h1(e11))
| h1(e11) != e23
| h1(e10) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e23,h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_3_481,plain,
( h1(e10) != op2(e23,h1(e11))
| h1(e10) = op2(e23,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_3_473,refute_3_480]) ).
cnf(refute_3_482,plain,
( h1(e10) = op2(e23,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,h1(e11))) )],[refute_3_479,refute_3_481]) ).
cnf(refute_3_483,plain,
( h1(e10) != op2(e23,e23)
| op2(e23,e23) != e21
| h1(e10) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_3_484,plain,
( h1(e10) != op2(e23,e23)
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_25,refute_3_483]) ).
cnf(refute_3_485,plain,
( h1(e10) = e21
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,e23)) )],[refute_3_482,refute_3_484]) ).
cnf(refute_3_486,plain,
( h1(e10) != e21
| h1(e10) != op2(h1(e11),e23)
| e21 = op2(h1(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),e23)) ),[0],$fot(e21)]]) ).
cnf(refute_3_487,plain,
( h1(e10) != op2(h1(e11),e23)
| e21 = op2(h1(e11),e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_3_485,refute_3_486]) ).
cnf(refute_3_488,plain,
( e21 = op2(h1(e11),e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e23)) )],[refute_3_476,refute_3_487]) ).
cnf(refute_3_489,plain,
( e13 != e13
| op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_3_240,refute_3_247]) ).
cnf(refute_3_490,plain,
( e13 != e13
| op1(e10,e10) = e10
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_3_489,refute_3_197]) ).
cnf(refute_3_491,plain,
( op1(e10,e10) = e10
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_3_250,refute_3_490]) ).
cnf(refute_3_492,plain,
( h4(e10) != op2(e20,e23)
| h4(op1(e10,e13)) = op2(e20,e23)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_3_491,refute_3_252]) ).
cnf(refute_3_493,plain,
( h4(e10) != op2(e20,e23)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) )],[refute_3_492,refute_3_189]) ).
cnf(refute_3_494,plain,
( e20 != op2(e20,e23)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e23)) )],[refute_3_256,refute_3_493]) ).
cnf(refute_3_495,plain,
( e23 != e23
| h1(e11) = e23
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_3_473,refute_3_273]) ).
cnf(refute_3_496,plain,
( e23 != e23
| op2(e20,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_3_495,refute_3_261]) ).
cnf(refute_3_497,plain,
( op2(e20,e23) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_276,refute_3_496]) ).
cnf(refute_3_498,plain,
( e20 != e20
| e20 = op2(e20,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_3_497,refute_3_278]) ).
cnf(refute_3_499,plain,
( e20 != e20
| op1(e10,e10) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e23)) )],[refute_3_498,refute_3_494]) ).
cnf(refute_3_500,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_3_85,refute_3_499]) ).
cnf(refute_3_501,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e10) = h1(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_3_500,refute_3_241]) ).
cnf(refute_3_502,plain,
( h4(e10) = h1(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_3_215,refute_3_501]) ).
cnf(refute_3_503,plain,
( e20 = h1(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_3_502,refute_3_245]) ).
cnf(refute_3_504,plain,
( h1(e11) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_3_503,refute_3_282]) ).
cnf(refute_3_505,plain,
( e21 != op2(h1(e11),e23)
| h1(e11) != e20
| e21 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(h1(e11),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_3_506,plain,
( e21 != op2(h1(e11),e23)
| e21 = op2(e20,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_3_504,refute_3_505]) ).
cnf(refute_3_507,plain,
( e21 = op2(e20,e23)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(e21,op2(h1(e11),e23)) )],[refute_3_488,refute_3_506]) ).
cnf(refute_3_508,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_3_88]) ).
cnf(refute_3_509,plain,
( op2(e20,e23) != e21
| op2(e23,e23) != e21
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_3_510,plain,
( op2(e20,e23) != e21
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_25,refute_3_509]) ).
cnf(refute_3_511,plain,
op2(e20,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_3_510,refute_3_508]) ).
cnf(refute_3_512,plain,
( e21 != op2(e20,e23)
| op2(e20,e23) = e21 ),
inference(subst,[],[refute_3_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_3_513,plain,
e21 != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_3_512,refute_3_511]) ).
cnf(refute_3_514,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_3_507,refute_3_513]) ).
cnf(refute_3_515,plain,
( op2(e20,e21) != e21
| ~ definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_3_514,refute_3_437]) ).
cnf(refute_3_516,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_3_89]) ).
cnf(refute_3_517,plain,
( op2(e22,e21) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_3_518,plain,
( op2(e22,e21) != h3(e11)
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_3_97,refute_3_517]) ).
cnf(refute_3_519,plain,
op2(e22,e21) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_3_518,refute_3_516]) ).
cnf(refute_3_520,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_3_90]) ).
cnf(refute_3_521,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e11)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_3_522,plain,
( op2(e21,e21) != e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_3_57,refute_3_521]) ).
cnf(refute_3_523,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_3_520,refute_3_522]) ).
cnf(refute_3_524,plain,
( op2(e23,e21) != e21
| op2(e23,e21) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e23)]]) ).
cnf(refute_3_525,plain,
( op2(e23,e21) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_3_30,refute_3_524]) ).
cnf(refute_3_526,plain,
( e23 = e21
| h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_3_523,refute_3_525]) ).
cnf(refute_3_527,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_3_526,refute_3_332]) ).
cnf(refute_3_528,plain,
( h2(e11) != e20
| h2(e11) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e21) ),[0],$fot(e20)]]) ).
cnf(refute_3_529,plain,
( h2(e11) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_3_81,refute_3_528]) ).
cnf(refute_3_530,plain,
( e20 = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_3_527,refute_3_529]) ).
cnf(refute_3_531,plain,
( op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_3_530,refute_3_37]) ).
cnf(refute_3_532,plain,
( e21 != h3(e11)
| op2(e22,e21) != e21
| op2(e22,e21) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[1],$fot(h3(e11))]]) ).
cnf(refute_3_533,plain,
( e21 != h3(e11)
| op2(e20,e21) = e21
| op2(e22,e21) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_3_531,refute_3_532]) ).
cnf(refute_3_534,plain,
( e21 != h3(e11)
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),h3(e11)) )],[refute_3_533,refute_3_519]) ).
cnf(refute_3_535,plain,
( e21 != e21
| h3(e11) != e21
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_3_536,plain,
( e21 != e21
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_3_370,refute_3_535]) ).
cnf(refute_3_537,plain,
( e21 != e21
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_3_536,refute_3_534]) ).
cnf(refute_3_538,plain,
( e21 != e21
| ~ definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_3_537,refute_3_515]) ).
cnf(refute_3_539,plain,
~ definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_3_29,refute_3_538]) ).
cnf(refute_3_540,plain,
( op1(e10,e12) = e13
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_3_426,refute_3_539]) ).
cnf(refute_3_541,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e13) = op2(e20,e22)
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_3_540,refute_3_360]) ).
cnf(refute_3_542,plain,
( h4(e13) = op2(e20,e22)
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_3_136,refute_3_541]) ).
cnf(refute_3_543,plain,
( e23 = op2(e20,e22)
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e22)) )],[refute_3_542,refute_3_364]) ).
cnf(refute_3_544,plain,
( op2(e20,e22) = e23
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e22)) )],[refute_3_543,refute_3_366]) ).
cnf(refute_3_545,plain,
( e23 != e23
| op2(e20,e22) != e23
| op2(e20,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_3_546,plain,
( e23 != e23
| op2(e20,e22) = e23
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_3_544,refute_3_545]) ).
cnf(refute_3_547,plain,
( e23 != e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_3_546,refute_3_421]) ).
cnf(refute_3_548,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_276,refute_3_547]) ).
cnf(refute_3_549,plain,
definitionFOFtoCNF_5,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_3_548,refute_3_539]) ).
cnf(refute_3_550,plain,
op2(e21,e22) != e22,
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_3_549,refute_3_384]) ).
cnf(refute_3_551,plain,
op2(e21,e22) = e23,
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_3_92,refute_3_550]) ).
cnf(refute_3_552,plain,
( op2(e20,op2(e22,e20)) != op2(e22,e20)
| ~ definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_3_91]) ).
cnf(refute_3_553,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_3_92]) ).
cnf(refute_3_554,plain,
( h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_3_553,refute_3_195]) ).
cnf(refute_3_555,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0],$fot(e22)]]) ).
cnf(refute_3_556,plain,
( op2(e23,e20) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_3_18,refute_3_555]) ).
cnf(refute_3_557,plain,
( e22 = e23
| h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_3_554,refute_3_556]) ).
cnf(refute_3_558,plain,
e22 != e23,
inference(canonicalize,[],[normalize_3_93]) ).
cnf(refute_3_559,plain,
( h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_3_557,refute_3_558]) ).
cnf(refute_3_560,plain,
( e21 = e23
| h1(e11) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_3_559,refute_3_412]) ).
cnf(refute_3_561,plain,
( h1(e11) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_3_560,refute_3_330]) ).
cnf(refute_3_562,plain,
( e20 = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_3_561,refute_3_285]) ).
cnf(refute_3_563,plain,
op2(e22,e20) = e23,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_3_562,refute_3_45]) ).
cnf(refute_3_564,plain,
op2(e20,op2(e22,e20)) = op2(e20,op2(e22,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e20)))]]) ).
cnf(refute_3_565,plain,
( op2(e20,op2(e22,e20)) != op2(e20,op2(e22,e20))
| op2(e22,e20) != e23
| op2(e20,op2(e22,e20)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e20,op2(e22,e20))) ),[1,1],$fot(e23)]]) ).
cnf(refute_3_566,plain,
( op2(e22,e20) != e23
| op2(e20,op2(e22,e20)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e20,op2(e22,e20))) )],[refute_3_564,refute_3_565]) ).
cnf(refute_3_567,plain,
op2(e20,op2(e22,e20)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_3_563,refute_3_566]) ).
cnf(refute_3_568,plain,
( op2(e20,e23) != op2(e22,e20)
| op2(e20,op2(e22,e20)) != op2(e20,e23)
| op2(e20,op2(e22,e20)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e20,e23)) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_3_569,plain,
( op2(e20,e23) != op2(e22,e20)
| op2(e20,op2(e22,e20)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e20,e23)) )],[refute_3_567,refute_3_568]) ).
cnf(refute_3_570,plain,
( op2(e20,e23) != e23
| op2(e22,e20) != e23
| op2(e20,e23) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e22,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_3_571,plain,
( op2(e20,e23) != e23
| op2(e20,e23) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_3_563,refute_3_570]) ).
cnf(refute_3_572,plain,
( op2(e20,e23) != e23
| op2(e20,op2(e22,e20)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e20)) )],[refute_3_571,refute_3_569]) ).
cnf(refute_3_573,plain,
( op2(e20,e23) != e23
| ~ definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e22,e20)) )],[refute_3_572,refute_3_552]) ).
cnf(refute_3_574,plain,
( e23 != e23
| op2(e20,e23) != e23
| op2(e20,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_3_575,plain,
( e23 != e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_3_292,refute_3_574]) ).
cnf(refute_3_576,plain,
( e23 != e23
| ~ definitionFOFtoCNF_5
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_3_575,refute_3_573]) ).
cnf(refute_3_577,plain,
( ~ definitionFOFtoCNF_5
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_276,refute_3_576]) ).
cnf(refute_3_578,plain,
op2(e20,e22) = e23,
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_3_549,refute_3_577]) ).
cnf(refute_3_579,plain,
( e23 != op2(e21,e22)
| op2(e20,e22) != e23
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e23) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_3_580,plain,
( e23 != op2(e21,e22)
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_3_578,refute_3_579]) ).
cnf(refute_3_581,plain,
e23 != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_3_580,refute_3_385]) ).
cnf(refute_3_582,plain,
( op2(e21,e22) != e23
| e23 = op2(e21,e22) ),
inference(subst,[],[refute_3_7:[bind(X,$fot(op2(e21,e22))),bind(Y,$fot(e23))]]) ).
cnf(refute_3_583,plain,
op2(e21,e22) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e21,e22)) )],[refute_3_582,refute_3_581]) ).
cnf(refute_3_584,plain,
$false,
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_3_551,refute_3_583]) ).
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,
( 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_1,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_4_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_4_1]) ).
fof(normalize_4_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_4_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_4_3]) ).
fof(normalize_4_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_4_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_4_5]) ).
fof(normalize_4_7,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_0,normalize_4_2,normalize_4_4,normalize_4_6]) ).
fof(normalize_4_8,plain,
h4(op1(e11,e10)) != op2(h4(e11),h4(e10)),
inference(conjunct,[],[normalize_4_7]) ).
fof(normalize_4_9,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_4_10,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_4_9]) ).
fof(normalize_4_11,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_4_12,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_4_11]) ).
fof(normalize_4_13,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_4_9]) ).
fof(normalize_4_14,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_4_11]) ).
fof(normalize_4_15,plain,
( ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_4_16,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_4_15]) ).
fof(normalize_4_17,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_4_3]) ).
fof(normalize_4_18,plain,
( ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_4_19,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(conjunct,[],[normalize_4_18]) ).
fof(normalize_4_20,plain,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_4_21,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(conjunct,[],[normalize_4_20]) ).
fof(normalize_4_22,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_4_20]) ).
cnf(refute_4_0,plain,
h4(op1(e11,e10)) != op2(h4(e11),h4(e10)),
inference(canonicalize,[],[normalize_4_8]) ).
cnf(refute_4_1,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_4_10]) ).
cnf(refute_4_2,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_4_12]) ).
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( $equal(X,X) )],[refute_4_3,refute_4_4]) ).
cnf(refute_4_6,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = e20 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_4_7,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_4_2,refute_4_6]) ).
cnf(refute_4_8,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_4_9,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_4_7,refute_4_8]) ).
cnf(refute_4_10,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_4_1,refute_4_9]) ).
cnf(refute_4_11,plain,
op2(e21,h4(e10)) = op2(e21,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e10)))]]) ).
cnf(refute_4_12,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) != op2(e21,h4(e10))
| op2(e21,h4(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_13,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) )],[refute_4_11,refute_4_12]) ).
cnf(refute_4_14,plain,
op2(e21,h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_10,refute_4_13]) ).
cnf(refute_4_15,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_4_13]) ).
cnf(refute_4_16,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_4_14]) ).
cnf(refute_4_17,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_4_18,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_4_16,refute_4_17]) ).
cnf(refute_4_19,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_4_20,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_18,refute_4_19]) ).
cnf(refute_4_21,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_4_15,refute_4_20]) ).
cnf(refute_4_22,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_4_23,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_4_24,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_4_22,refute_4_23]) ).
cnf(refute_4_25,plain,
op2(h4(e11),h4(e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_4_21,refute_4_24]) ).
cnf(refute_4_26,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_4_27,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_4_5,refute_4_26]) ).
cnf(refute_4_28,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) != op2(e21,h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(subst,[],[refute_4_27:[bind(X,$fot(op2(h4(e11),h4(e10)))),bind(Y,$fot(op2(e21,h4(e10)))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_4_29,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,h4(e10))) )],[refute_4_25,refute_4_28]) ).
cnf(refute_4_30,plain,
op2(h4(e11),h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,e20)) )],[refute_4_14,refute_4_29]) ).
cnf(refute_4_31,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) != op2(e21,e20)
| h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_4_32,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,e20)) )],[refute_4_30,refute_4_31]) ).
cnf(refute_4_33,plain,
h4(op1(e11,e10)) != op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_4_32,refute_4_0]) ).
cnf(refute_4_34,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_4_16]) ).
cnf(refute_4_35,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_4_17]) ).
cnf(refute_4_36,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_4_37,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_4_35,refute_4_36]) ).
cnf(refute_4_38,plain,
( h2(e11) != e20
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_4_39,plain,
( h2(e11) != e20
| op2(e21,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_37,refute_4_38]) ).
cnf(refute_4_40,plain,
( h2(e11) != e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_4_39,refute_4_34]) ).
cnf(refute_4_41,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_4_42,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_4_43,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_4_41,refute_4_42]) ).
cnf(refute_4_44,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_18,refute_4_43]) ).
cnf(refute_4_45,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_4_46,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_4_47,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_4_45,refute_4_46]) ).
cnf(refute_4_48,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_18,refute_4_47]) ).
cnf(refute_4_49,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_4_27:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_4_50,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_4_48,refute_4_49]) ).
cnf(refute_4_51,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_4_44,refute_4_50]) ).
cnf(refute_4_52,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_4_27:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_4_53,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_4_51,refute_4_52]) ).
cnf(refute_4_54,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_4_37,refute_4_53]) ).
cnf(refute_4_55,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| e20 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e11)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_4_56,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_4_54,refute_4_55]) ).
cnf(refute_4_57,plain,
e20 = h2(e11),
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_4_2,refute_4_56]) ).
cnf(refute_4_58,plain,
( e20 != h2(e11)
| h2(e11) = e20 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e20)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_4_59,plain,
h2(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h2(e11)) )],[refute_4_57,refute_4_58]) ).
cnf(refute_4_60,plain,
( e20 != e20
| h2(e11) != e20
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(e20)]]) ).
cnf(refute_4_61,plain,
( e20 != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_4_59,refute_4_60]) ).
cnf(refute_4_62,plain,
( e20 != e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_4_61,refute_4_40]) ).
cnf(refute_4_63,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_4_64,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_4_63,refute_4_62]) ).
cnf(refute_4_65,plain,
( h4(op1(e11,e10)) != e21
| op2(e21,e20) != e21
| h4(op1(e11,e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[1],$fot(e21)]]) ).
cnf(refute_4_66,plain,
( h4(op1(e11,e10)) != e21
| h4(op1(e11,e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_4_64,refute_4_65]) ).
cnf(refute_4_67,plain,
h4(op1(e11,e10)) != e21,
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) )],[refute_4_66,refute_4_33]) ).
cnf(refute_4_68,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(canonicalize,[],[normalize_4_19]) ).
cnf(refute_4_69,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(canonicalize,[],[normalize_4_21]) ).
cnf(refute_4_70,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_4_22]) ).
cnf(refute_4_71,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_4_72,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_4_70,refute_4_71]) ).
cnf(refute_4_73,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_4_74,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_4_75,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_4_73,refute_4_74]) ).
cnf(refute_4_76,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_72,refute_4_75]) ).
cnf(refute_4_77,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_4_78,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_4_79,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_4_77,refute_4_78]) ).
cnf(refute_4_80,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_72,refute_4_79]) ).
cnf(refute_4_81,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_4_27:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_4_82,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_4_80,refute_4_81]) ).
cnf(refute_4_83,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_4_76,refute_4_82]) ).
cnf(refute_4_84,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_4_85,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| e10 = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_4_83,refute_4_84]) ).
cnf(refute_4_86,plain,
e10 = op1(e11,e11),
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_4_69,refute_4_85]) ).
cnf(refute_4_87,plain,
( e10 != op1(e11,e11)
| op1(e11,e11) = e10 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e11)))]]) ).
cnf(refute_4_88,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_4_86,refute_4_87]) ).
cnf(refute_4_89,plain,
( e10 != e10
| op1(e11,e11) != e10
| op1(e11,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(e10)]]) ).
cnf(refute_4_90,plain,
( e10 != e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_4_88,refute_4_89]) ).
cnf(refute_4_91,plain,
( e10 != e10
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_4_90,refute_4_68]) ).
cnf(refute_4_92,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_4_93,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_4_92,refute_4_91]) ).
cnf(refute_4_94,plain,
h4(op1(e11,e10)) = h4(op1(e11,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e10)))]]) ).
cnf(refute_4_95,plain,
( h4(op1(e11,e10)) != h4(op1(e11,e10))
| op1(e11,e10) != e11
| h4(op1(e11,e10)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e11,e10))) ),[1,0],$fot(e11)]]) ).
cnf(refute_4_96,plain,
( op1(e11,e10) != e11
| h4(op1(e11,e10)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e11,e10))) )],[refute_4_94,refute_4_95]) ).
cnf(refute_4_97,plain,
h4(op1(e11,e10)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_4_93,refute_4_96]) ).
cnf(refute_4_98,plain,
( h4(e11) != e21
| h4(op1(e11,e10)) != h4(e11)
| h4(op1(e11,e10)) = e21 ),
inference(subst,[],[refute_4_27:[bind(X,$fot(h4(op1(e11,e10)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_4_99,plain,
( h4(e11) != e21
| h4(op1(e11,e10)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(e11)) )],[refute_4_97,refute_4_98]) ).
cnf(refute_4_100,plain,
h4(op1(e11,e10)) = e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_4_21,refute_4_99]) ).
cnf(refute_4_101,plain,
( e21 != e21
| h4(op1(e11,e10)) != e21
| h4(op1(e11,e10)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),e21) ),[1],$fot(e21)]]) ).
cnf(refute_4_102,plain,
( e21 != e21
| h4(op1(e11,e10)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),e21) )],[refute_4_100,refute_4_101]) ).
cnf(refute_4_103,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),e21) )],[refute_4_102,refute_4_67]) ).
cnf(refute_4_104,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_4_105,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_104,refute_4_103]) ).
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,
( 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_1,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_5_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_5_1]) ).
fof(normalize_5_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_5_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_5_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_5_5]) ).
fof(normalize_5_7,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_0,normalize_5_2,normalize_5_4,normalize_5_6]) ).
fof(normalize_5_8,plain,
h4(op1(e11,e11)) != op2(h4(e11),h4(e11)),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_9,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_5_10,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_5_9]) ).
fof(normalize_5_11,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_5_12,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_5_11]) ).
fof(normalize_5_13,plain,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_5_14,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(conjunct,[],[normalize_5_13]) ).
fof(normalize_5_15,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_5_13]) ).
fof(normalize_5_16,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_17,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_5_11]) ).
fof(normalize_5_18,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_5_9]) ).
cnf(refute_5_0,plain,
h4(op1(e11,e11)) != op2(h4(e11),h4(e11)),
inference(canonicalize,[],[normalize_5_8]) ).
cnf(refute_5_1,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_5_10]) ).
cnf(refute_5_2,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_5_12]) ).
cnf(refute_5_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_5_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_5_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_5_3,refute_5_4]) ).
cnf(refute_5_6,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = e20 ),
inference(subst,[],[refute_5_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_5_7,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_5_2,refute_5_6]) ).
cnf(refute_5_8,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_5_9,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_5_7,refute_5_8]) ).
cnf(refute_5_10,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_5_1,refute_5_9]) ).
cnf(refute_5_11,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(canonicalize,[],[normalize_5_14]) ).
cnf(refute_5_12,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_5_15]) ).
cnf(refute_5_13,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_5_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_5_14,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_5_12,refute_5_13]) ).
cnf(refute_5_15,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_5_16,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_5_17,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_5_15,refute_5_16]) ).
cnf(refute_5_18,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_14,refute_5_17]) ).
cnf(refute_5_19,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_5_20,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_5_21,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_5_19,refute_5_20]) ).
cnf(refute_5_22,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_14,refute_5_21]) ).
cnf(refute_5_23,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_5_24,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_5_5,refute_5_23]) ).
cnf(refute_5_25,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_5_24:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_5_26,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_5_22,refute_5_25]) ).
cnf(refute_5_27,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_5_18,refute_5_26]) ).
cnf(refute_5_28,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_5_29,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| e10 = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_5_27,refute_5_28]) ).
cnf(refute_5_30,plain,
e10 = op1(e11,e11),
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_5_11,refute_5_29]) ).
cnf(refute_5_31,plain,
( e10 != op1(e11,e11)
| op1(e11,e11) = e10 ),
inference(subst,[],[refute_5_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e11)))]]) ).
cnf(refute_5_32,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_5_30,refute_5_31]) ).
cnf(refute_5_33,plain,
h4(op1(e11,e11)) = h4(op1(e11,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e11)))]]) ).
cnf(refute_5_34,plain,
( h4(op1(e11,e11)) != h4(op1(e11,e11))
| op1(e11,e11) != e10
| h4(op1(e11,e11)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) ),[1,0],$fot(e10)]]) ).
cnf(refute_5_35,plain,
( op1(e11,e11) != e10
| h4(op1(e11,e11)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) )],[refute_5_33,refute_5_34]) ).
cnf(refute_5_36,plain,
h4(op1(e11,e11)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_5_32,refute_5_35]) ).
cnf(refute_5_37,plain,
( h4(e10) != e20
| h4(op1(e11,e11)) != h4(e10)
| h4(op1(e11,e11)) = e20 ),
inference(subst,[],[refute_5_24:[bind(X,$fot(h4(op1(e11,e11)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_5_38,plain,
( h4(e10) != e20
| h4(op1(e11,e11)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(e10)) )],[refute_5_36,refute_5_37]) ).
cnf(refute_5_39,plain,
h4(op1(e11,e11)) = e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_5_10,refute_5_38]) ).
cnf(refute_5_40,plain,
( e20 != op2(h4(e11),h4(e11))
| h4(op1(e11,e11)) != e20
| h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),e20) ),[1],$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_5_41,plain,
( e20 != op2(h4(e11),h4(e11))
| h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e20) )],[refute_5_39,refute_5_40]) ).
cnf(refute_5_42,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_5_16]) ).
cnf(refute_5_43,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_5_44,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_5_42,refute_5_43]) ).
cnf(refute_5_45,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_5_17]) ).
cnf(refute_5_46,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_5_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_5_47,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_5_45,refute_5_46]) ).
cnf(refute_5_48,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_5_49,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_5_50,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_5_48,refute_5_49]) ).
cnf(refute_5_51,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_47,refute_5_50]) ).
cnf(refute_5_52,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_5_53,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_54,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_5_52,refute_5_53]) ).
cnf(refute_5_55,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_47,refute_5_54]) ).
cnf(refute_5_56,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_5_24:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_5_57,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_5_55,refute_5_56]) ).
cnf(refute_5_58,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_5_51,refute_5_57]) ).
cnf(refute_5_59,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_5_24:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_5_60,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_5_58,refute_5_59]) ).
cnf(refute_5_61,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_5_44,refute_5_60]) ).
cnf(refute_5_62,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| e20 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e11)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_5_63,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_5_61,refute_5_62]) ).
cnf(refute_5_64,plain,
e20 = h2(e11),
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_5_2,refute_5_63]) ).
cnf(refute_5_65,plain,
( e20 != h2(e11)
| h2(e11) = e20 ),
inference(subst,[],[refute_5_5:[bind(X,$fot(e20)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_5_66,plain,
h2(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h2(e11)) )],[refute_5_64,refute_5_65]) ).
cnf(refute_5_67,plain,
( h2(e11) != e20
| h2(e11) != op2(e21,e21)
| e20 = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,e21)) ),[0],$fot(e20)]]) ).
cnf(refute_5_68,plain,
( h2(e11) != op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_5_66,refute_5_67]) ).
cnf(refute_5_69,plain,
e20 = op2(e21,e21),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_5_42,refute_5_68]) ).
cnf(refute_5_70,plain,
( e20 != op2(e21,e21)
| op2(e21,e21) = e20 ),
inference(subst,[],[refute_5_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_5_71,plain,
op2(e21,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e21)) )],[refute_5_69,refute_5_70]) ).
cnf(refute_5_72,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_5_18]) ).
cnf(refute_5_73,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_5_74,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_47,refute_5_73]) ).
cnf(refute_5_75,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_5_72,refute_5_74]) ).
cnf(refute_5_76,plain,
op2(e21,h4(e11)) = op2(e21,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e11)))]]) ).
cnf(refute_5_77,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) != op2(e21,h4(e11))
| op2(e21,h4(e11)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_5_78,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) )],[refute_5_76,refute_5_77]) ).
cnf(refute_5_79,plain,
op2(e21,h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_75,refute_5_78]) ).
cnf(refute_5_80,plain,
op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_5_81,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_82,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_5_80,refute_5_81]) ).
cnf(refute_5_83,plain,
op2(h4(e11),h4(e11)) = op2(e21,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_75,refute_5_82]) ).
cnf(refute_5_84,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) != op2(e21,h4(e11))
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(subst,[],[refute_5_24:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,h4(e11)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_5_85,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,h4(e11))) )],[refute_5_83,refute_5_84]) ).
cnf(refute_5_86,plain,
op2(h4(e11),h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,e21)) )],[refute_5_79,refute_5_85]) ).
cnf(refute_5_87,plain,
( op2(e21,e21) != e20
| op2(h4(e11),h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = e20 ),
inference(subst,[],[refute_5_24:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(e20))]]) ).
cnf(refute_5_88,plain,
( op2(e21,e21) != e20
| op2(h4(e11),h4(e11)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,e21)) )],[refute_5_86,refute_5_87]) ).
cnf(refute_5_89,plain,
op2(h4(e11),h4(e11)) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_5_71,refute_5_88]) ).
cnf(refute_5_90,plain,
( e20 != e20
| op2(h4(e11),h4(e11)) != e20
| e20 = op2(h4(e11),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(h4(e11),h4(e11))) ),[1],$fot(e20)]]) ).
cnf(refute_5_91,plain,
( e20 != e20
| e20 = op2(h4(e11),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),e20) )],[refute_5_89,refute_5_90]) ).
cnf(refute_5_92,plain,
( e20 != e20
| h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
inference(resolve,[$cnf( $equal(e20,op2(h4(e11),h4(e11))) )],[refute_5_91,refute_5_41]) ).
cnf(refute_5_93,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_5_92,refute_5_0]) ).
cnf(refute_5_94,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_5_95,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_5_94,refute_5_93]) ).
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,
( 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_1,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_6_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_6_1]) ).
fof(normalize_6_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_6_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_6_3]) ).
fof(normalize_6_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_6_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_6_5]) ).
fof(normalize_6_7,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_0,normalize_6_2,normalize_6_4,normalize_6_6]) ).
fof(normalize_6_8,plain,
h4(op1(e11,e12)) != op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_6_7]) ).
fof(normalize_6_9,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_6_10,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_6_9]) ).
fof(normalize_6_11,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_6_12,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_6_11]) ).
fof(normalize_6_13,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_6_11]) ).
fof(normalize_6_14,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_6_9]) ).
fof(normalize_6_15,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_6_11]) ).
fof(normalize_6_16,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_17,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_18,plain,
op1(e11,e12) != op1(e11,e13),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_19,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_6_20,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_21,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_22,plain,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_6_23,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_6_22]) ).
fof(normalize_6_24,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_25,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(conjunct,[],[normalize_6_22]) ).
fof(normalize_6_26,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_27,plain,
op1(e11,e11) != op1(e11,e12),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_28,plain,
op1(e11,e10) != op1(e11,e12),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_29,plain,
( ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_6_30,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(conjunct,[],[normalize_6_29]) ).
fof(normalize_6_31,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,op1(e12,e10)) = op1(e12,e10)
| op1(e11,op1(e12,e11)) = op1(e12,e11)
| op1(e12,op1(e12,e12)) = op1(e12,e12)
| op1(e13,op1(e12,e13)) = op1(e12,e13) ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_6_32,plain,
( ( op1(e10,op1(e12,e10)) != op1(e12,e10)
| ~ definitionFOFtoCNF_2 )
& ( op1(e11,op1(e12,e11)) != op1(e12,e11)
| ~ definitionFOFtoCNF_2 )
& ( op1(e12,op1(e12,e12)) != op1(e12,e12)
| ~ definitionFOFtoCNF_2 )
& ( op1(e13,op1(e12,e13)) != op1(e12,e13)
| ~ definitionFOFtoCNF_2 )
& ( op1(e10,op1(e12,e10)) = op1(e12,e10)
| op1(e11,op1(e12,e11)) = op1(e12,e11)
| op1(e12,op1(e12,e12)) = op1(e12,e12)
| op1(e13,op1(e12,e13)) = op1(e12,e13)
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_6_31]) ).
fof(normalize_6_33,plain,
( op1(e10,op1(e12,e10)) != op1(e12,e10)
| ~ definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_6_32]) ).
fof(normalize_6_34,plain,
op1(e10,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_35,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_36,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_37,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_6_1]) ).
fof(normalize_6_38,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_6_1]) ).
fof(normalize_6_39,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_40,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_6_39]) ).
fof(normalize_6_41,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_42,plain,
op2(e20,e20) != op2(e21,e20),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_43,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(conjunct,[],[normalize_6_7]) ).
fof(normalize_6_44,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_6_9]) ).
fof(normalize_6_45,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_6_7]) ).
fof(normalize_6_46,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_6_9]) ).
fof(normalize_6_47,plain,
( op1(e10,e10) != e13
| op1(e10,e13) = e10 ),
inference(conjunct,[],[normalize_6_29]) ).
fof(normalize_6_48,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_49,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_50,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(conjunct,[],[normalize_6_22]) ).
fof(normalize_6_51,plain,
op1(e10,e10) != op1(e11,e10),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_52,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_53,plain,
op1(e12,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_54,plain,
op1(e11,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_55,plain,
( ~ definitionFOFtoCNF_45
<=> ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 ) ),
inference(canonicalize,[],[definition_8]) ).
fof(normalize_6_56,plain,
( ( h2(e10) != e22
| ~ definitionFOFtoCNF_45 )
& ( h2(e11) != e22
| ~ definitionFOFtoCNF_45 )
& ( h2(e12) != e22
| ~ definitionFOFtoCNF_45 )
& ( h2(e13) != e22
| ~ definitionFOFtoCNF_45 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_45 ) ),
inference(clausify,[],[normalize_6_55]) ).
fof(normalize_6_57,plain,
( h2(e12) != e22
| ~ definitionFOFtoCNF_45 ),
inference(conjunct,[],[normalize_6_56]) ).
fof(normalize_6_58,plain,
h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21))),
inference(conjunct,[],[normalize_6_3]) ).
fof(normalize_6_59,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(conjunct,[],[normalize_6_3]) ).
fof(normalize_6_60,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_6_3]) ).
fof(normalize_6_61,plain,
op2(e21,e22) != op2(e21,e23),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_62,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_6_39]) ).
fof(normalize_6_63,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_64,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_65,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_66,plain,
h3(e11) = op2(e22,e22),
inference(conjunct,[],[normalize_6_5]) ).
fof(normalize_6_67,plain,
( ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_6_68,plain,
( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_6_67]) ).
fof(normalize_6_69,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_6_70,plain,
e21 != e23,
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_71,plain,
e20 != e21,
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_72,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_73,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_6_72]) ).
fof(normalize_6_74,plain,
( op2(e21,e21) != e23
| op2(e21,e23) = e21 ),
inference(conjunct,[],[normalize_6_67]) ).
fof(normalize_6_75,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(conjunct,[],[normalize_6_72]) ).
fof(normalize_6_76,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_77,plain,
e20 != e22,
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_78,plain,
e22 != e23,
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_79,plain,
( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_45 ),
inference(conjunct,[],[normalize_6_56]) ).
fof(normalize_6_80,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_81,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_6_7]) ).
fof(normalize_6_82,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_83,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_6_29]) ).
fof(normalize_6_84,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_6_85,plain,
e11 != e13,
inference(conjunct,[],[normalize_6_84]) ).
fof(normalize_6_86,plain,
e10 != e11,
inference(conjunct,[],[normalize_6_84]) ).
fof(normalize_6_87,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_88,plain,
( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ),
inference(conjunct,[],[normalize_6_29]) ).
fof(normalize_6_89,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,op1(e10,e10)) = op1(e10,e10)
| op1(e11,op1(e10,e11)) = op1(e10,e11)
| op1(e12,op1(e10,e12)) = op1(e10,e12)
| op1(e13,op1(e10,e13)) = op1(e10,e13) )
& ( op1(e10,op1(e11,e10)) = op1(e11,e10)
| op1(e11,op1(e11,e11)) = op1(e11,e11)
| op1(e12,op1(e11,e12)) = op1(e11,e12)
| op1(e13,op1(e11,e13)) = op1(e11,e13) ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_6_90,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_6_91,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,op1(e11,e10)) = op1(e11,e10)
| op1(e11,op1(e11,e11)) = op1(e11,e11)
| op1(e12,op1(e11,e12)) = op1(e11,e12)
| op1(e13,op1(e11,e13)) = op1(e11,e13) ) ) ),
inference(simplify,[],[normalize_6_89,normalize_6_90]) ).
fof(normalize_6_92,plain,
( definitionFOFtoCNF_0
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ),
inference(simplify,[],[normalize_6_88,normalize_6_91,normalize_6_90]) ).
fof(normalize_6_93,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ),
inference(simplify,[],[normalize_6_92,normalize_6_31]) ).
fof(normalize_6_94,plain,
( ( op1(e10,op1(e13,e10)) != op1(e13,e10)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,op1(e13,e11)) != op1(e13,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,op1(e13,e12)) != op1(e13,e12)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,op1(e13,e13)) != op1(e13,e13)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_6_93]) ).
fof(normalize_6_95,plain,
( op1(e11,op1(e13,e11)) != op1(e13,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_6_94]) ).
fof(normalize_6_96,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_6_29]) ).
fof(normalize_6_97,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_98,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_6_97]) ).
fof(normalize_6_99,plain,
( op1(e11,e11) != e13
| op1(e11,e13) = e11 ),
inference(conjunct,[],[normalize_6_29]) ).
fof(normalize_6_100,plain,
( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ),
inference(conjunct,[],[normalize_6_67]) ).
fof(normalize_6_101,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(e20,op2(e20,e20)) = op2(e20,e20)
| op2(e21,op2(e20,e21)) = op2(e20,e21)
| op2(e22,op2(e20,e22)) = op2(e20,e22)
| op2(e23,op2(e20,e23)) = op2(e20,e23) )
& ( op2(e20,op2(e21,e20)) = op2(e21,e20)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e23,op2(e21,e23)) = op2(e21,e23) ) ) ),
inference(canonicalize,[],[definition_6]) ).
fof(normalize_6_102,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) ) ),
inference(canonicalize,[],[definition_7]) ).
fof(normalize_6_103,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(e20,op2(e21,e20)) = op2(e21,e20)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e23,op2(e21,e23)) = op2(e21,e23) ) ) ),
inference(simplify,[],[normalize_6_101,normalize_6_102]) ).
fof(normalize_6_104,plain,
( definitionFOFtoCNF_3
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ),
inference(simplify,[],[normalize_6_100,normalize_6_103,normalize_6_102]) ).
fof(normalize_6_105,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(e20,op2(e22,e20)) = op2(e22,e20)
| op2(e21,op2(e22,e21)) = op2(e22,e21)
| op2(e22,op2(e22,e22)) = op2(e22,e22)
| op2(e23,op2(e22,e23)) = op2(e22,e23) ) ),
inference(canonicalize,[],[definition_9]) ).
fof(normalize_6_106,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ),
inference(simplify,[],[normalize_6_104,normalize_6_105]) ).
fof(normalize_6_107,plain,
( ( op2(e20,op2(e23,e20)) != op2(e23,e20)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e21,op2(e23,e21)) != op2(e23,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e22,op2(e23,e22)) != op2(e23,e22)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e23,op2(e23,e23)) != op2(e23,e23)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_6_106]) ).
fof(normalize_6_108,plain,
( op2(e21,op2(e23,e21)) != op2(e23,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_6_107]) ).
fof(normalize_6_109,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_6_67]) ).
fof(normalize_6_110,plain,
( ( op2(e20,op2(e22,e20)) != op2(e22,e20)
| ~ definitionFOFtoCNF_5 )
& ( op2(e21,op2(e22,e21)) != op2(e22,e21)
| ~ definitionFOFtoCNF_5 )
& ( op2(e22,op2(e22,e22)) != op2(e22,e22)
| ~ definitionFOFtoCNF_5 )
& ( op2(e23,op2(e22,e23)) != op2(e22,e23)
| ~ definitionFOFtoCNF_5 )
& ( op2(e20,op2(e22,e20)) = op2(e22,e20)
| op2(e21,op2(e22,e21)) = op2(e22,e21)
| op2(e22,op2(e22,e22)) = op2(e22,e22)
| op2(e23,op2(e22,e23)) = op2(e22,e23)
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_6_105]) ).
fof(normalize_6_111,plain,
( op2(e21,op2(e22,e21)) != op2(e22,e21)
| ~ definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_6_110]) ).
fof(normalize_6_112,plain,
( op2(e22,e22) != e21
| op2(e22,e21) = e22 ),
inference(conjunct,[],[normalize_6_67]) ).
fof(normalize_6_113,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_114,plain,
op1(e10,e11) != op1(e12,e11),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_115,plain,
( op1(e12,e12) != e11
| op1(e12,e11) = e12 ),
inference(conjunct,[],[normalize_6_29]) ).
fof(normalize_6_116,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(conjunct,[],[normalize_6_97]) ).
fof(normalize_6_117,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_118,plain,
op2(e20,e21) != op2(e20,e22),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_119,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_6_7]) ).
fof(normalize_6_120,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_121,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_122,plain,
op1(e10,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_123,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_6_72]) ).
fof(normalize_6_124,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_125,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_126,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_127,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(conjunct,[],[normalize_6_39]) ).
fof(normalize_6_128,plain,
( op2(e22,e22) != e20
| op2(e22,e20) = e22 ),
inference(conjunct,[],[normalize_6_67]) ).
fof(normalize_6_129,plain,
op2(e22,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_130,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_6_72]) ).
fof(normalize_6_131,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_132,plain,
( op1(e12,e12) != e10
| op1(e12,e10) = e12 ),
inference(conjunct,[],[normalize_6_29]) ).
fof(normalize_6_133,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e12 ),
inference(conjunct,[],[normalize_6_29]) ).
fof(normalize_6_134,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(conjunct,[],[normalize_6_97]) ).
fof(normalize_6_135,plain,
op1(e11,e11) != op1(e12,e11),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_136,plain,
e10 != e13,
inference(conjunct,[],[normalize_6_84]) ).
fof(normalize_6_137,plain,
e10 != e12,
inference(conjunct,[],[normalize_6_84]) ).
fof(normalize_6_138,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( op1(e10,op1(e11,e10)) != op1(e11,e10)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op1(e11,op1(e11,e11)) != op1(e11,e11)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op1(e12,op1(e11,e12)) != op1(e11,e12)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op1(e13,op1(e11,e13)) != op1(e11,e13)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 )
& ( op1(e10,op1(e11,e10)) = op1(e11,e10)
| op1(e11,op1(e11,e11)) = op1(e11,e11)
| op1(e12,op1(e11,e12)) = op1(e11,e12)
| op1(e13,op1(e11,e13)) = op1(e11,e13)
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_6_91]) ).
fof(normalize_6_139,plain,
( op1(e10,op1(e11,e10)) != op1(e11,e10)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_6_138]) ).
fof(normalize_6_140,plain,
( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
| definitionFOFtoCNF_1 )
& ( op1(e11,op1(e10,e11)) != op1(e10,e11)
| definitionFOFtoCNF_1 )
& ( op1(e12,op1(e10,e12)) != op1(e10,e12)
| definitionFOFtoCNF_1 )
& ( op1(e13,op1(e10,e13)) != op1(e10,e13)
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_1
| op1(e10,op1(e10,e10)) = op1(e10,e10)
| op1(e11,op1(e10,e11)) = op1(e10,e11)
| op1(e12,op1(e10,e12)) = op1(e10,e12)
| op1(e13,op1(e10,e13)) = op1(e10,e13) ) ),
inference(clausify,[],[normalize_6_90]) ).
fof(normalize_6_141,plain,
( op1(e10,op1(e10,e10)) != op1(e10,e10)
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_6_140]) ).
fof(normalize_6_142,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_6_35]) ).
fof(normalize_6_143,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_6_7]) ).
fof(normalize_6_144,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(conjunct,[],[normalize_6_97]) ).
fof(normalize_6_145,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_146,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_147,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( op2(e20,op2(e21,e20)) != op2(e21,e20)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e21,op2(e21,e21)) != op2(e21,e21)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e22,op2(e21,e22)) != op2(e21,e22)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e23,op2(e21,e23)) != op2(e21,e23)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 )
& ( op2(e20,op2(e21,e20)) = op2(e21,e20)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e23,op2(e21,e23)) = op2(e21,e23)
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_6_103]) ).
fof(normalize_6_148,plain,
( op2(e20,op2(e21,e20)) != op2(e21,e20)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_6_147]) ).
fof(normalize_6_149,plain,
( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
| definitionFOFtoCNF_4 )
& ( op2(e21,op2(e20,e21)) != op2(e20,e21)
| definitionFOFtoCNF_4 )
& ( op2(e22,op2(e20,e22)) != op2(e20,e22)
| definitionFOFtoCNF_4 )
& ( op2(e23,op2(e20,e23)) != op2(e20,e23)
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_4
| op2(e20,op2(e20,e20)) = op2(e20,e20)
| op2(e21,op2(e20,e21)) = op2(e20,e21)
| op2(e22,op2(e20,e22)) = op2(e20,e22)
| op2(e23,op2(e20,e23)) = op2(e20,e23) ) ),
inference(clausify,[],[normalize_6_102]) ).
fof(normalize_6_150,plain,
( op2(e20,op2(e20,e20)) != op2(e20,e20)
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_6_149]) ).
fof(normalize_6_151,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_152,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_153,plain,
op2(e20,e23) != op2(e21,e23),
inference(conjunct,[],[normalize_6_35]) ).
cnf(refute_6_0,plain,
h4(op1(e11,e12)) != op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_6_8]) ).
cnf(refute_6_1,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_6_10]) ).
cnf(refute_6_2,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_6_12]) ).
cnf(refute_6_3,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_6_13]) ).
cnf(refute_6_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_6_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_6_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_6_4,refute_6_5]) ).
cnf(refute_6_7,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = e20 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_6_8,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_6_3,refute_6_7]) ).
cnf(refute_6_9,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
introduced(tautology,[refl,[$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_6_10,plain,
( op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_11,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_6_9,refute_6_10]) ).
cnf(refute_6_12,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_6_8,refute_6_11]) ).
cnf(refute_6_13,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e20)) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_6_14,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_6_12,refute_6_13]) ).
cnf(refute_6_15,plain,
e22 = op2(e23,e20),
inference(resolve,[$cnf( $equal(e22,op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_6_2,refute_6_14]) ).
cnf(refute_6_16,plain,
( e22 != op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_6_17,plain,
op2(e23,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_6_15,refute_6_16]) ).
cnf(refute_6_18,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_6_19,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_6_6,refute_6_18]) ).
cnf(refute_6_20,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(e22))]]) ).
cnf(refute_6_21,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_6_12,refute_6_20]) ).
cnf(refute_6_22,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22,
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_6_17,refute_6_21]) ).
cnf(refute_6_23,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_6_24,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),e22) )],[refute_6_22,refute_6_23]) ).
cnf(refute_6_25,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_6_1,refute_6_24]) ).
cnf(refute_6_26,plain,
op2(e21,h4(e12)) = op2(e21,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).
cnf(refute_6_27,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) != op2(e21,h4(e12))
| op2(e21,h4(e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_6_28,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) )],[refute_6_26,refute_6_27]) ).
cnf(refute_6_29,plain,
op2(e21,h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_6_25,refute_6_28]) ).
cnf(refute_6_30,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_6_14]) ).
cnf(refute_6_31,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_6_15]) ).
cnf(refute_6_32,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_6_33,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_6_31,refute_6_32]) ).
cnf(refute_6_34,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_6_35,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_33,refute_6_34]) ).
cnf(refute_6_36,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_6_30,refute_6_35]) ).
cnf(refute_6_37,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_6_38,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(e21)]]) ).
cnf(refute_6_39,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_6_37,refute_6_38]) ).
cnf(refute_6_40,plain,
op2(h4(e11),h4(e12)) = op2(e21,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_36,refute_6_39]) ).
cnf(refute_6_41,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) != op2(e21,h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).
cnf(refute_6_42,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,h4(e12))) )],[refute_6_40,refute_6_41]) ).
cnf(refute_6_43,plain,
op2(h4(e11),h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e22)) )],[refute_6_29,refute_6_42]) ).
cnf(refute_6_44,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) != op2(e21,e22)
| h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_6_45,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,e22)) )],[refute_6_43,refute_6_44]) ).
cnf(refute_6_46,plain,
h4(op1(e11,e12)) != op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_6_45,refute_6_0]) ).
cnf(refute_6_47,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_6_17]) ).
cnf(refute_6_48,plain,
op1(e11,e12) != op1(e11,e13),
inference(canonicalize,[],[normalize_6_18]) ).
cnf(refute_6_49,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_6_20]) ).
cnf(refute_6_50,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_6_21]) ).
cnf(refute_6_51,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_6_23]) ).
cnf(refute_6_52,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_6_53,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_6_51,refute_6_52]) ).
cnf(refute_6_54,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_55,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_53,refute_6_54]) ).
cnf(refute_6_56,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_6_55,refute_6_50]) ).
cnf(refute_6_57,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_6_49,refute_6_56]) ).
cnf(refute_6_58,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_6_24]) ).
cnf(refute_6_59,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(canonicalize,[],[normalize_6_25]) ).
cnf(refute_6_60,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_6_61,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_6_62,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_6_60,refute_6_61]) ).
cnf(refute_6_63,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_53,refute_6_62]) ).
cnf(refute_6_64,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_6_65,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_6_66,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_6_64,refute_6_65]) ).
cnf(refute_6_67,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_53,refute_6_66]) ).
cnf(refute_6_68,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_6_69,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_6_67,refute_6_68]) ).
cnf(refute_6_70,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_6_63,refute_6_69]) ).
cnf(refute_6_71,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_6_72,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| e10 = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_6_70,refute_6_71]) ).
cnf(refute_6_73,plain,
e10 = op1(e11,e11),
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_6_59,refute_6_72]) ).
cnf(refute_6_74,plain,
( e10 != op1(e11,e11)
| op1(e11,e11) = e10 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e11)))]]) ).
cnf(refute_6_75,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_6_73,refute_6_74]) ).
cnf(refute_6_76,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) != e10
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_6_77,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_75,refute_6_76]) ).
cnf(refute_6_78,plain,
e10 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_6_77,refute_6_58]) ).
cnf(refute_6_79,plain,
( op1(e11,e13) != e10
| e10 = op1(e11,e13) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e10))]]) ).
cnf(refute_6_80,plain,
op1(e11,e13) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e13)) )],[refute_6_79,refute_6_78]) ).
cnf(refute_6_81,plain,
( op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_6_57,refute_6_80]) ).
cnf(refute_6_82,plain,
( op1(e11,e12) != e13
| op1(e11,e13) != e13
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_6_83,plain,
( op1(e11,e12) != e13
| op1(e11,e12) = op1(e11,e13)
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_6_81,refute_6_82]) ).
cnf(refute_6_84,plain,
( op1(e11,e12) != e13
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_6_83,refute_6_48]) ).
cnf(refute_6_85,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_6_26]) ).
cnf(refute_6_86,plain,
op1(e11,e11) != op1(e11,e12),
inference(canonicalize,[],[normalize_6_27]) ).
cnf(refute_6_87,plain,
( e10 != op1(e11,e12)
| op1(e11,e11) != e10
| op1(e11,e11) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_6_88,plain,
( e10 != op1(e11,e12)
| op1(e11,e11) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_75,refute_6_87]) ).
cnf(refute_6_89,plain,
e10 != op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e12)) )],[refute_6_88,refute_6_86]) ).
cnf(refute_6_90,plain,
( op1(e11,e12) != e10
| e10 = op1(e11,e12) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(e10))]]) ).
cnf(refute_6_91,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_6_90,refute_6_89]) ).
cnf(refute_6_92,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_6_85,refute_6_91]) ).
cnf(refute_6_93,plain,
op1(e11,e10) != op1(e11,e12),
inference(canonicalize,[],[normalize_6_28]) ).
cnf(refute_6_94,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(canonicalize,[],[normalize_6_30]) ).
cnf(refute_6_95,plain,
( e10 != e10
| op1(e11,e11) != e10
| op1(e11,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(e10)]]) ).
cnf(refute_6_96,plain,
( e10 != e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_75,refute_6_95]) ).
cnf(refute_6_97,plain,
( e10 != e10
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_96,refute_6_94]) ).
cnf(refute_6_98,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_6_99,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_6_98,refute_6_97]) ).
cnf(refute_6_100,plain,
( e11 != op1(e11,e12)
| op1(e11,e10) != e11
| op1(e11,e10) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_6_101,plain,
( e11 != op1(e11,e12)
| op1(e11,e10) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_6_99,refute_6_100]) ).
cnf(refute_6_102,plain,
e11 != op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_6_101,refute_6_93]) ).
cnf(refute_6_103,plain,
( op1(e11,e12) != e11
| e11 = op1(e11,e12) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(e11))]]) ).
cnf(refute_6_104,plain,
op1(e11,e12) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_6_103,refute_6_102]) ).
cnf(refute_6_105,plain,
( op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_6_92,refute_6_104]) ).
cnf(refute_6_106,plain,
( e13 != e13
| op1(e11,e12) != e13
| op1(e11,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e13) ),[1],$fot(e13)]]) ).
cnf(refute_6_107,plain,
( e13 != e13
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_6_105,refute_6_106]) ).
cnf(refute_6_108,plain,
( e13 != e13
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_6_107,refute_6_84]) ).
cnf(refute_6_109,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_6_110,plain,
( op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_109,refute_6_108]) ).
cnf(refute_6_111,plain,
( op1(e10,e13) != e12
| op1(e11,e13) != e12
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_6_112,plain,
( op1(e10,e13) != e12
| op1(e10,e13) = op1(e11,e13)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_6_110,refute_6_111]) ).
cnf(refute_6_113,plain,
( op1(e10,e13) != e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_6_112,refute_6_47]) ).
cnf(refute_6_114,plain,
( op1(e10,op1(e12,e10)) != op1(e12,e10)
| ~ definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_6_33]) ).
cnf(refute_6_115,plain,
op1(e10,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_6_34]) ).
cnf(refute_6_116,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_6_36]) ).
cnf(refute_6_117,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_6_37]) ).
cnf(refute_6_118,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_6_119,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_6_117,refute_6_118]) ).
cnf(refute_6_120,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_6_121,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_119,refute_6_120]) ).
cnf(refute_6_122,plain,
h1(e11) != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_6_121,refute_6_116]) ).
cnf(refute_6_123,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_6_38]) ).
cnf(refute_6_124,plain,
op2(h1(e11),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e11),op2(e20,e20)))]]) ).
cnf(refute_6_125,plain,
( op2(e20,e20) != h1(e11)
| op2(h1(e11),op2(e20,e20)) != op2(h1(e11),op2(e20,e20))
| op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_6_126,plain,
( op2(e20,e20) != h1(e11)
| op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) )],[refute_6_124,refute_6_125]) ).
cnf(refute_6_127,plain,
op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_119,refute_6_126]) ).
cnf(refute_6_128,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_6_129,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_6_130,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_6_128,refute_6_129]) ).
cnf(refute_6_131,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_119,refute_6_130]) ).
cnf(refute_6_132,plain,
( op2(h1(e11),op2(e20,e20)) != op2(h1(e11),h1(e11))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e11),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e11),op2(e20,e20)))),bind(Z,$fot(op2(h1(e11),h1(e11))))]]) ).
cnf(refute_6_133,plain,
( op2(h1(e11),op2(e20,e20)) != op2(h1(e11),h1(e11))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) )],[refute_6_131,refute_6_132]) ).
cnf(refute_6_134,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),h1(e11))) )],[refute_6_127,refute_6_133]) ).
cnf(refute_6_135,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),h1(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e11),h1(e11))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_6_136,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| h1(e10) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e11),h1(e11))) )],[refute_6_134,refute_6_135]) ).
cnf(refute_6_137,plain,
h1(e10) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_6_123,refute_6_136]) ).
cnf(refute_6_138,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_6_40]) ).
cnf(refute_6_139,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_6_140,plain,
( op2(e20,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_119,refute_6_139]) ).
cnf(refute_6_141,plain,
( h1(e11) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_6_138,refute_6_140]) ).
cnf(refute_6_142,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_6_143,plain,
( op2(e20,e20) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_119,refute_6_142]) ).
cnf(refute_6_144,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_6_141,refute_6_143]) ).
cnf(refute_6_145,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_6_146,plain,
( op2(e20,e20) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_119,refute_6_145]) ).
cnf(refute_6_147,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_6_144,refute_6_146]) ).
cnf(refute_6_148,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_6_149,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_119,refute_6_148]) ).
cnf(refute_6_150,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_6_147,refute_6_149]) ).
cnf(refute_6_151,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_6_41]) ).
cnf(refute_6_152,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_6_153,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_119,refute_6_152]) ).
cnf(refute_6_154,plain,
( h1(e11) != e22
| op2(e23,e20) != e22
| h1(e11) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_6_155,plain,
( h1(e11) != e22
| h1(e11) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_6_17,refute_6_154]) ).
cnf(refute_6_156,plain,
( h1(e11) != e22
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,e20)) )],[refute_6_155,refute_6_153]) ).
cnf(refute_6_157,plain,
h1(e11) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_6_156,refute_6_151]) ).
cnf(refute_6_158,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_6_150,refute_6_157]) ).
cnf(refute_6_159,plain,
op2(e20,e20) != op2(e21,e20),
inference(canonicalize,[],[normalize_6_42]) ).
cnf(refute_6_160,plain,
( h1(e11) != op2(e21,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_6_161,plain,
( h1(e11) != op2(e21,e20)
| op2(e20,e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_119,refute_6_160]) ).
cnf(refute_6_162,plain,
h1(e11) != op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_6_161,refute_6_159]) ).
cnf(refute_6_163,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(canonicalize,[],[normalize_6_43]) ).
cnf(refute_6_164,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_6_44]) ).
cnf(refute_6_165,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_6_166,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_6_8,refute_6_165]) ).
cnf(refute_6_167,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_6_164,refute_6_166]) ).
cnf(refute_6_168,plain,
op2(e21,h4(e10)) = op2(e21,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e10)))]]) ).
cnf(refute_6_169,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) != op2(e21,h4(e10))
| op2(e21,h4(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_170,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) )],[refute_6_168,refute_6_169]) ).
cnf(refute_6_171,plain,
op2(e21,h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_167,refute_6_170]) ).
cnf(refute_6_172,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_6_173,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_6_174,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_6_172,refute_6_173]) ).
cnf(refute_6_175,plain,
op2(h4(e11),h4(e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_36,refute_6_174]) ).
cnf(refute_6_176,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) != op2(e21,h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(h4(e11),h4(e10)))),bind(Y,$fot(op2(e21,h4(e10)))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_6_177,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,h4(e10))) )],[refute_6_175,refute_6_176]) ).
cnf(refute_6_178,plain,
op2(h4(e11),h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,e20)) )],[refute_6_171,refute_6_177]) ).
cnf(refute_6_179,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) != op2(e21,e20)
| h4(op1(e11,e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[0],$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_6_180,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,e20)) )],[refute_6_178,refute_6_179]) ).
cnf(refute_6_181,plain,
h4(op1(e11,e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_6_163,refute_6_180]) ).
cnf(refute_6_182,plain,
h4(op1(e11,e10)) = h4(op1(e11,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e10)))]]) ).
cnf(refute_6_183,plain,
( h4(op1(e11,e10)) != h4(op1(e11,e10))
| op1(e11,e10) != e11
| h4(op1(e11,e10)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e11,e10))) ),[1,0],$fot(e11)]]) ).
cnf(refute_6_184,plain,
( op1(e11,e10) != e11
| h4(op1(e11,e10)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e11,e10))) )],[refute_6_182,refute_6_183]) ).
cnf(refute_6_185,plain,
h4(op1(e11,e10)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_6_99,refute_6_184]) ).
cnf(refute_6_186,plain,
( h4(e11) != e21
| h4(op1(e11,e10)) != h4(e11)
| h4(op1(e11,e10)) = e21 ),
inference(subst,[],[refute_6_19:[bind(X,$fot(h4(op1(e11,e10)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_6_187,plain,
( h4(e11) != e21
| h4(op1(e11,e10)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(e11)) )],[refute_6_185,refute_6_186]) ).
cnf(refute_6_188,plain,
h4(op1(e11,e10)) = e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_36,refute_6_187]) ).
cnf(refute_6_189,plain,
( h4(op1(e11,e10)) != e21
| h4(op1(e11,e10)) != op2(e21,e20)
| e21 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[0],$fot(e21)]]) ).
cnf(refute_6_190,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| e21 = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),e21) )],[refute_6_188,refute_6_189]) ).
cnf(refute_6_191,plain,
e21 = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) )],[refute_6_181,refute_6_190]) ).
cnf(refute_6_192,plain,
( e21 != op2(e21,e20)
| op2(e21,e20) = e21 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_6_193,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_6_191,refute_6_192]) ).
cnf(refute_6_194,plain,
( h1(e11) != e21
| op2(e21,e20) != e21
| h1(e11) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e21,e20)) ),[1],$fot(e21)]]) ).
cnf(refute_6_195,plain,
( h1(e11) != e21
| h1(e11) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_6_193,refute_6_194]) ).
cnf(refute_6_196,plain,
h1(e11) != e21,
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e20)) )],[refute_6_195,refute_6_162]) ).
cnf(refute_6_197,plain,
( h1(e11) = e20
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_6_158,refute_6_196]) ).
cnf(refute_6_198,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e23
| h1(e10) = op2(e23,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_6_199,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(e23,h1(e11))
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_6_197,refute_6_198]) ).
cnf(refute_6_200,plain,
( h1(e10) = op2(e23,h1(e11))
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_6_137,refute_6_199]) ).
cnf(refute_6_201,plain,
( h1(e10) != op2(e23,h1(e11))
| h1(e11) != e23
| h1(e10) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e23,h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_202,plain,
( h1(e10) != op2(e23,h1(e11))
| h1(e10) = op2(e23,e23)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_6_197,refute_6_201]) ).
cnf(refute_6_203,plain,
( h1(e10) = op2(e23,e23)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,h1(e11))) )],[refute_6_200,refute_6_202]) ).
cnf(refute_6_204,plain,
( h1(e10) != op2(e23,e23)
| op2(e23,e23) != e21
| h1(e10) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_6_205,plain,
( h1(e10) != op2(e23,e23)
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_33,refute_6_204]) ).
cnf(refute_6_206,plain,
( h1(e10) = e21
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,e23)) )],[refute_6_203,refute_6_205]) ).
cnf(refute_6_207,plain,
( e20 != op2(e20,e23)
| h1(e11) != e20
| h1(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_6_208,plain,
( e20 != op2(e20,e23)
| h1(e10) = e21
| h1(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_206,refute_6_207]) ).
cnf(refute_6_209,plain,
( e20 != op2(e20,e23)
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e23)) )],[refute_6_208,refute_6_122]) ).
cnf(refute_6_210,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_6_45]) ).
cnf(refute_6_211,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_6_46]) ).
cnf(refute_6_212,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_6_213,plain,
( h4(e13) != e23
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_214,plain,
( h4(e13) != e23
| op2(e20,h4(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_6_212,refute_6_213]) ).
cnf(refute_6_215,plain,
op2(e20,h4(e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_6_211,refute_6_214]) ).
cnf(refute_6_216,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_6_217,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_218,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_6_216,refute_6_217]) ).
cnf(refute_6_219,plain,
op2(h4(e10),h4(e13)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_167,refute_6_218]) ).
cnf(refute_6_220,plain,
( op2(e20,h4(e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) != op2(e20,h4(e13))
| op2(h4(e10),h4(e13)) = op2(e20,e23) ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_6_221,plain,
( op2(e20,h4(e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,h4(e13))) )],[refute_6_219,refute_6_220]) ).
cnf(refute_6_222,plain,
op2(h4(e10),h4(e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e23)) )],[refute_6_215,refute_6_221]) ).
cnf(refute_6_223,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) != op2(e20,e23)
| h4(op1(e10,e13)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_6_224,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,e23)) )],[refute_6_222,refute_6_223]) ).
cnf(refute_6_225,plain,
h4(op1(e10,e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_6_210,refute_6_224]) ).
cnf(refute_6_226,plain,
( op1(e10,e10) != e13
| op1(e10,e13) = e10 ),
inference(canonicalize,[],[normalize_6_47]) ).
cnf(refute_6_227,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(canonicalize,[],[normalize_6_48]) ).
cnf(refute_6_228,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_6_49]) ).
cnf(refute_6_229,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(canonicalize,[],[normalize_6_50]) ).
cnf(refute_6_230,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = e10 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_6_231,plain,
op1(op1(e13,e13),op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_6_59,refute_6_230]) ).
cnf(refute_6_232,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
introduced(tautology,[refl,[$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_6_233,plain,
( op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) ),[1,1],$fot(e10)]]) ).
cnf(refute_6_234,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_6_232,refute_6_233]) ).
cnf(refute_6_235,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e10) )],[refute_6_231,refute_6_234]) ).
cnf(refute_6_236,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,e10)
| e12 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e10)) ),[0],$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_6_237,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| e12 = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,e10)) )],[refute_6_235,refute_6_236]) ).
cnf(refute_6_238,plain,
e12 = op1(e13,e10),
inference(resolve,[$cnf( $equal(e12,op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_6_229,refute_6_237]) ).
cnf(refute_6_239,plain,
( e12 != op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e10)))]]) ).
cnf(refute_6_240,plain,
op1(e13,e10) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e10)) )],[refute_6_238,refute_6_239]) ).
cnf(refute_6_241,plain,
( op1(e10,e10) != e12
| op1(e13,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_6_242,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_6_240,refute_6_241]) ).
cnf(refute_6_243,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_6_242,refute_6_228]) ).
cnf(refute_6_244,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_6_227,refute_6_243]) ).
cnf(refute_6_245,plain,
op1(e10,e10) != op1(e11,e10),
inference(canonicalize,[],[normalize_6_51]) ).
cnf(refute_6_246,plain,
( op1(e10,e10) != e11
| op1(e11,e10) != e11
| op1(e10,e10) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e11,e10)) ),[1],$fot(e11)]]) ).
cnf(refute_6_247,plain,
( op1(e10,e10) != e11
| op1(e10,e10) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_6_99,refute_6_246]) ).
cnf(refute_6_248,plain,
op1(e10,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e11,e10)) )],[refute_6_247,refute_6_245]) ).
cnf(refute_6_249,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_6_244,refute_6_248]) ).
cnf(refute_6_250,plain,
( e13 != e13
| op1(e10,e10) != e13
| op1(e10,e10) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(e13)]]) ).
cnf(refute_6_251,plain,
( e13 != e13
| op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_6_249,refute_6_250]) ).
cnf(refute_6_252,plain,
( e13 != e13
| op1(e10,e10) = e10
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_6_251,refute_6_226]) ).
cnf(refute_6_253,plain,
( op1(e10,e10) = e10
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_109,refute_6_252]) ).
cnf(refute_6_254,plain,
( h4(op1(e10,e13)) != op2(e20,e23)
| op1(e10,e13) != e10
| h4(e10) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0,0],$fot(e10)]]) ).
cnf(refute_6_255,plain,
( h4(op1(e10,e13)) != op2(e20,e23)
| h4(e10) = op2(e20,e23)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_6_253,refute_6_254]) ).
cnf(refute_6_256,plain,
( h4(e10) = op2(e20,e23)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) )],[refute_6_225,refute_6_255]) ).
cnf(refute_6_257,plain,
( h4(e10) != e20
| h4(e10) != op2(e20,e23)
| e20 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e20,e23)) ),[0],$fot(e20)]]) ).
cnf(refute_6_258,plain,
( h4(e10) != op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_167,refute_6_257]) ).
cnf(refute_6_259,plain,
( e20 = op2(e20,e23)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e23)) )],[refute_6_256,refute_6_258]) ).
cnf(refute_6_260,plain,
( e20 != op2(e20,e23)
| op2(e20,e23) = e20 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_6_261,plain,
( op1(e10,e10) = e10
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e23)) )],[refute_6_259,refute_6_260]) ).
cnf(refute_6_262,plain,
( e20 != e20
| op2(e20,e23) != e20
| e20 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e20,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_6_263,plain,
( e20 != e20
| e20 = op2(e20,e23)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_6_261,refute_6_262]) ).
cnf(refute_6_264,plain,
( e20 != e20
| h1(e10) = e21
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e23)) )],[refute_6_263,refute_6_209]) ).
cnf(refute_6_265,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_6_266,plain,
( h1(e10) = e21
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_265,refute_6_264]) ).
cnf(refute_6_267,plain,
( e10 != op1(e12,e10)
| op1(e10,e10) != e10
| op1(e10,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_6_268,plain,
( e10 != op1(e12,e10)
| h1(e10) = e21
| op1(e10,e10) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_6_266,refute_6_267]) ).
cnf(refute_6_269,plain,
( e10 != op1(e12,e10)
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e12,e10)) )],[refute_6_268,refute_6_115]) ).
cnf(refute_6_270,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_6_52]) ).
cnf(refute_6_271,plain,
op1(e12,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_6_53]) ).
cnf(refute_6_272,plain,
( op1(e12,e10) != e12
| op1(e13,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_6_273,plain,
( op1(e12,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_6_240,refute_6_272]) ).
cnf(refute_6_274,plain,
op1(e12,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e13,e10)) )],[refute_6_273,refute_6_271]) ).
cnf(refute_6_275,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_6_270,refute_6_274]) ).
cnf(refute_6_276,plain,
op1(e11,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_6_54]) ).
cnf(refute_6_277,plain,
( e11 != op1(e12,e10)
| op1(e11,e10) != e11
| op1(e11,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_6_278,plain,
( e11 != op1(e12,e10)
| op1(e11,e10) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_6_99,refute_6_277]) ).
cnf(refute_6_279,plain,
e11 != op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,e10)) )],[refute_6_278,refute_6_276]) ).
cnf(refute_6_280,plain,
( op1(e12,e10) != e11
| e11 = op1(e12,e10) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(op1(e12,e10))),bind(Y,$fot(e11))]]) ).
cnf(refute_6_281,plain,
op1(e12,e10) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e10)) )],[refute_6_280,refute_6_279]) ).
cnf(refute_6_282,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_6_275,refute_6_281]) ).
cnf(refute_6_283,plain,
( e10 != e10
| op1(e12,e10) != e10
| e10 = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e10)) ),[1],$fot(e10)]]) ).
cnf(refute_6_284,plain,
( e10 != e10
| e10 = op1(e12,e10)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_6_282,refute_6_283]) ).
cnf(refute_6_285,plain,
( e10 != e10
| h1(e10) = e21
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e10,op1(e12,e10)) )],[refute_6_284,refute_6_269]) ).
cnf(refute_6_286,plain,
( h1(e10) = e21
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_6_98,refute_6_285]) ).
cnf(refute_6_287,plain,
( h2(e12) != e22
| ~ definitionFOFtoCNF_45 ),
inference(canonicalize,[],[normalize_6_57]) ).
cnf(refute_6_288,plain,
h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21))),
inference(canonicalize,[],[normalize_6_58]) ).
cnf(refute_6_289,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(canonicalize,[],[normalize_6_59]) ).
cnf(refute_6_290,plain,
( h2(e10) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = h2(e10) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(op2(e21,e21),op2(e21,e21))))]]) ).
cnf(refute_6_291,plain,
op2(op2(e21,e21),op2(e21,e21)) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),op2(e21,e21))) )],[refute_6_289,refute_6_290]) ).
cnf(refute_6_292,plain,
op2(e21,op2(op2(e21,e21),op2(e21,e21))) = op2(e21,op2(op2(e21,e21),op2(e21,e21))),
introduced(tautology,[refl,[$fot(op2(e21,op2(op2(e21,e21),op2(e21,e21))))]]) ).
cnf(refute_6_293,plain,
( op2(e21,op2(op2(e21,e21),op2(e21,e21))) != op2(e21,op2(op2(e21,e21),op2(e21,e21)))
| op2(op2(e21,e21),op2(e21,e21)) != h2(e10)
| op2(e21,op2(op2(e21,e21),op2(e21,e21))) = op2(e21,h2(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(op2(e21,e21),op2(e21,e21))),op2(e21,op2(op2(e21,e21),op2(e21,e21)))) ),[1,1],$fot(h2(e10))]]) ).
cnf(refute_6_294,plain,
( op2(op2(e21,e21),op2(e21,e21)) != h2(e10)
| op2(e21,op2(op2(e21,e21),op2(e21,e21))) = op2(e21,h2(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(op2(e21,e21),op2(e21,e21))),op2(e21,op2(op2(e21,e21),op2(e21,e21)))) )],[refute_6_292,refute_6_293]) ).
cnf(refute_6_295,plain,
op2(e21,op2(op2(e21,e21),op2(e21,e21))) = op2(e21,h2(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),h2(e10)) )],[refute_6_291,refute_6_294]) ).
cnf(refute_6_296,plain,
( h2(e12) != op2(e21,op2(op2(e21,e21),op2(e21,e21)))
| op2(e21,op2(op2(e21,e21),op2(e21,e21))) != op2(e21,h2(e10))
| h2(e12) = op2(e21,h2(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),op2(e21,h2(e10))) ),[0],$fot(op2(e21,op2(op2(e21,e21),op2(e21,e21))))]]) ).
cnf(refute_6_297,plain,
( h2(e12) != op2(e21,op2(op2(e21,e21),op2(e21,e21)))
| h2(e12) = op2(e21,h2(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(op2(e21,e21),op2(e21,e21))),op2(e21,h2(e10))) )],[refute_6_295,refute_6_296]) ).
cnf(refute_6_298,plain,
h2(e12) = op2(e21,h2(e10)),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,op2(op2(e21,e21),op2(e21,e21)))) )],[refute_6_288,refute_6_297]) ).
cnf(refute_6_299,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_6_60]) ).
cnf(refute_6_300,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_6_301,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_6_299,refute_6_300]) ).
cnf(refute_6_302,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_6_303,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_6_304,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_6_302,refute_6_303]) ).
cnf(refute_6_305,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_33,refute_6_304]) ).
cnf(refute_6_306,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_6_307,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_6_308,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_6_306,refute_6_307]) ).
cnf(refute_6_309,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_33,refute_6_308]) ).
cnf(refute_6_310,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_6_311,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_6_309,refute_6_310]) ).
cnf(refute_6_312,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_6_305,refute_6_311]) ).
cnf(refute_6_313,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_6_314,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_6_312,refute_6_313]) ).
cnf(refute_6_315,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_301,refute_6_314]) ).
cnf(refute_6_316,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| e20 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e11)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_6_317,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_6_315,refute_6_316]) ).
cnf(refute_6_318,plain,
e20 = h2(e11),
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_6_3,refute_6_317]) ).
cnf(refute_6_319,plain,
( e20 != h2(e11)
| h2(e11) = e20 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e20)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_6_320,plain,
h2(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h2(e11)) )],[refute_6_318,refute_6_319]) ).
cnf(refute_6_321,plain,
( h2(e11) != e20
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = e20 ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(e21,e21))),bind(Y,$fot(h2(e11))),bind(Z,$fot(e20))]]) ).
cnf(refute_6_322,plain,
( h2(e11) != e20
| op2(e21,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_301,refute_6_321]) ).
cnf(refute_6_323,plain,
op2(e21,e21) = e20,
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_6_320,refute_6_322]) ).
cnf(refute_6_324,plain,
op2(e20,op2(e21,e21)) = op2(e20,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e21)))]]) ).
cnf(refute_6_325,plain,
( op2(e20,op2(e21,e21)) != op2(e20,op2(e21,e21))
| op2(e21,e21) != e20
| op2(e20,op2(e21,e21)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,op2(e21,e21))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_326,plain,
( op2(e21,e21) != e20
| op2(e20,op2(e21,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,op2(e21,e21))) )],[refute_6_324,refute_6_325]) ).
cnf(refute_6_327,plain,
op2(e20,op2(e21,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_6_323,refute_6_326]) ).
cnf(refute_6_328,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_6_329,plain,
( op2(e21,e21) != e20
| op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(e20,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(e20)]]) ).
cnf(refute_6_330,plain,
( op2(e21,e21) != e20
| op2(op2(e21,e21),op2(e21,e21)) = op2(e20,op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_6_328,refute_6_329]) ).
cnf(refute_6_331,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(e20,op2(e21,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_6_323,refute_6_330]) ).
cnf(refute_6_332,plain,
( op2(e20,op2(e21,e21)) != op2(e20,e20)
| op2(op2(e21,e21),op2(e21,e21)) != op2(e20,op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) = op2(e20,e20) ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(e20,op2(e21,e21)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_6_333,plain,
( op2(e20,op2(e21,e21)) != op2(e20,e20)
| op2(op2(e21,e21),op2(e21,e21)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(e20,op2(e21,e21))) )],[refute_6_331,refute_6_332]) ).
cnf(refute_6_334,plain,
op2(op2(e21,e21),op2(e21,e21)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,e20)) )],[refute_6_327,refute_6_333]) ).
cnf(refute_6_335,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e21,e21),op2(e21,e21)) != op2(e20,e20)
| op2(op2(e21,e21),op2(e21,e21)) = h1(e11) ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_6_336,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e21,e21),op2(e21,e21)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(e20,e20)) )],[refute_6_334,refute_6_335]) ).
cnf(refute_6_337,plain,
op2(op2(e21,e21),op2(e21,e21)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_119,refute_6_336]) ).
cnf(refute_6_338,plain,
( h2(e10) != op2(op2(e21,e21),op2(e21,e21))
| op2(op2(e21,e21),op2(e21,e21)) != h1(e11)
| h2(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h1(e11)) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).
cnf(refute_6_339,plain,
( h2(e10) != op2(op2(e21,e21),op2(e21,e21))
| h2(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),h1(e11)) )],[refute_6_337,refute_6_338]) ).
cnf(refute_6_340,plain,
h2(e10) = h1(e11),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),op2(e21,e21))) )],[refute_6_289,refute_6_339]) ).
cnf(refute_6_341,plain,
op2(e21,h2(e10)) = op2(e21,h2(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h2(e10)))]]) ).
cnf(refute_6_342,plain,
( h2(e10) != h1(e11)
| op2(e21,h2(e10)) != op2(e21,h2(e10))
| op2(e21,h2(e10)) = op2(e21,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e10)),op2(e21,h2(e10))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_6_343,plain,
( h2(e10) != h1(e11)
| op2(e21,h2(e10)) = op2(e21,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e10)),op2(e21,h2(e10))) )],[refute_6_341,refute_6_342]) ).
cnf(refute_6_344,plain,
op2(e21,h2(e10)) = op2(e21,h1(e11)),
inference(resolve,[$cnf( $equal(h2(e10),h1(e11)) )],[refute_6_340,refute_6_343]) ).
cnf(refute_6_345,plain,
( h2(e12) != op2(e21,h2(e10))
| op2(e21,h2(e10)) != op2(e21,h1(e11))
| h2(e12) = op2(e21,h1(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),op2(e21,h1(e11))) ),[0],$fot(op2(e21,h2(e10)))]]) ).
cnf(refute_6_346,plain,
( h2(e12) != op2(e21,h2(e10))
| h2(e12) = op2(e21,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e10)),op2(e21,h1(e11))) )],[refute_6_344,refute_6_345]) ).
cnf(refute_6_347,plain,
h2(e12) = op2(e21,h1(e11)),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,h2(e10))) )],[refute_6_298,refute_6_346]) ).
cnf(refute_6_348,plain,
( h1(e11) != e23
| h2(e12) != op2(e21,h1(e11))
| h2(e12) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),op2(e21,h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_349,plain,
( h2(e12) != op2(e21,h1(e11))
| h1(e11) = e20
| h2(e12) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_6_197,refute_6_348]) ).
cnf(refute_6_350,plain,
( h1(e11) = e20
| h2(e12) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,h1(e11))) )],[refute_6_347,refute_6_349]) ).
cnf(refute_6_351,plain,
op2(e21,e22) != op2(e21,e23),
inference(canonicalize,[],[normalize_6_61]) ).
cnf(refute_6_352,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_6_62]) ).
cnf(refute_6_353,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_63]) ).
cnf(refute_6_354,plain,
( op2(e21,e23) != e21
| op2(e23,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_6_355,plain,
( op2(e21,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_33,refute_6_354]) ).
cnf(refute_6_356,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_6_355,refute_6_353]) ).
cnf(refute_6_357,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_6_352,refute_6_356]) ).
cnf(refute_6_358,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_6_64]) ).
cnf(refute_6_359,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_6_360,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_301,refute_6_359]) ).
cnf(refute_6_361,plain,
h2(e11) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_6_360,refute_6_358]) ).
cnf(refute_6_362,plain,
( e20 != op2(e21,e23)
| h2(e11) != e20
| h2(e11) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_6_363,plain,
( e20 != op2(e21,e23)
| h2(e11) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_6_320,refute_6_362]) ).
cnf(refute_6_364,plain,
e20 != op2(e21,e23),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e23)) )],[refute_6_363,refute_6_361]) ).
cnf(refute_6_365,plain,
( op2(e21,e23) != e20
| e20 = op2(e21,e23) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e20))]]) ).
cnf(refute_6_366,plain,
op2(e21,e23) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e23)) )],[refute_6_365,refute_6_364]) ).
cnf(refute_6_367,plain,
( op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_6_357,refute_6_366]) ).
cnf(refute_6_368,plain,
( op2(e21,e22) != e23
| op2(e21,e23) != e23
| op2(e21,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_6_369,plain,
( op2(e21,e22) != e23
| op2(e21,e22) = op2(e21,e23)
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_6_367,refute_6_368]) ).
cnf(refute_6_370,plain,
( op2(e21,e22) != e23
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e23)) )],[refute_6_369,refute_6_351]) ).
cnf(refute_6_371,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_6_65]) ).
cnf(refute_6_372,plain,
h3(e11) = op2(e22,e22),
inference(canonicalize,[],[normalize_6_66]) ).
cnf(refute_6_373,plain,
( h3(e11) != op2(e22,e22)
| op2(e22,e22) = h3(e11) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_6_374,plain,
op2(e22,e22) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_6_372,refute_6_373]) ).
cnf(refute_6_375,plain,
( op2(e21,e22) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_6_376,plain,
( op2(e21,e22) != h3(e11)
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_374,refute_6_375]) ).
cnf(refute_6_377,plain,
op2(e21,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_6_376,refute_6_371]) ).
cnf(refute_6_378,plain,
( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_6_68]) ).
cnf(refute_6_379,plain,
( h1(e11) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_6_378,refute_6_140]) ).
cnf(refute_6_380,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e11)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_6_381,plain,
( op2(e21,e21) != e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_301,refute_6_380]) ).
cnf(refute_6_382,plain,
( h1(e11) = e20
| h2(e11) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_6_379,refute_6_381]) ).
cnf(refute_6_383,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_6_384,plain,
( op2(e22,e22) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_374,refute_6_383]) ).
cnf(refute_6_385,plain,
( h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_6_382,refute_6_384]) ).
cnf(refute_6_386,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e21)]]) ).
cnf(refute_6_387,plain,
( op2(e23,e23) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_33,refute_6_386]) ).
cnf(refute_6_388,plain,
( e21 = e23
| h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_6_385,refute_6_387]) ).
cnf(refute_6_389,plain,
e21 != e23,
inference(canonicalize,[],[normalize_6_70]) ).
cnf(refute_6_390,plain,
( h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_388,refute_6_389]) ).
cnf(refute_6_391,plain,
( h2(e11) != e20
| h2(e11) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e21) ),[0],$fot(e20)]]) ).
cnf(refute_6_392,plain,
( h2(e11) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_6_320,refute_6_391]) ).
cnf(refute_6_393,plain,
( e20 = e21
| h1(e11) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_6_390,refute_6_392]) ).
cnf(refute_6_394,plain,
e20 != e21,
inference(canonicalize,[],[normalize_6_71]) ).
cnf(refute_6_395,plain,
( h1(e11) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_6_393,refute_6_394]) ).
cnf(refute_6_396,plain,
( h3(e11) != e22
| op2(e21,e22) != e22
| op2(e21,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h3(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_6_397,plain,
( op2(e21,e22) != e22
| h1(e11) = e20
| op2(e21,e22) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_6_395,refute_6_396]) ).
cnf(refute_6_398,plain,
( op2(e21,e22) != e22
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h3(e11)) )],[refute_6_397,refute_6_377]) ).
cnf(refute_6_399,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_6_73]) ).
cnf(refute_6_400,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_6_401,plain,
( op2(e21,e21) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_301,refute_6_400]) ).
cnf(refute_6_402,plain,
( h2(e11) = e23
| op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_6_399,refute_6_401]) ).
cnf(refute_6_403,plain,
( op2(e21,e21) != e23
| op2(e21,e23) = e21 ),
inference(canonicalize,[],[normalize_6_74]) ).
cnf(refute_6_404,plain,
( h2(e11) != e23
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_6_405,plain,
( h2(e11) != e23
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_301,refute_6_404]) ).
cnf(refute_6_406,plain,
( h2(e11) != e23
| op2(e21,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_6_405,refute_6_403]) ).
cnf(refute_6_407,plain,
h2(e11) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_6_406,refute_6_356]) ).
cnf(refute_6_408,plain,
( op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_402,refute_6_407]) ).
cnf(refute_6_409,plain,
( op2(e21,e20) != e21
| op2(e21,e20) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[0],$fot(e21)]]) ).
cnf(refute_6_410,plain,
( op2(e21,e20) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_6_193,refute_6_409]) ).
cnf(refute_6_411,plain,
( e21 = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_6_408,refute_6_410]) ).
cnf(refute_6_412,plain,
( op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_411,refute_6_389]) ).
cnf(refute_6_413,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(canonicalize,[],[normalize_6_75]) ).
cnf(refute_6_414,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_6_415,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_6_301,refute_6_414]) ).
cnf(refute_6_416,plain,
( h2(e11) = e22
| op2(e21,e20) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_6_413,refute_6_415]) ).
cnf(refute_6_417,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_6_76]) ).
cnf(refute_6_418,plain,
( op2(e21,e20) != e22
| op2(e23,e20) != e22
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_6_419,plain,
( op2(e21,e20) != e22
| op2(e21,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_6_17,refute_6_418]) ).
cnf(refute_6_420,plain,
op2(e21,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_6_419,refute_6_417]) ).
cnf(refute_6_421,plain,
( h2(e11) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_6_416,refute_6_420]) ).
cnf(refute_6_422,plain,
( h2(e11) != e20
| h2(e11) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[0],$fot(e20)]]) ).
cnf(refute_6_423,plain,
( h2(e11) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_6_320,refute_6_422]) ).
cnf(refute_6_424,plain,
( e20 = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_6_421,refute_6_423]) ).
cnf(refute_6_425,plain,
e20 != e22,
inference(canonicalize,[],[normalize_6_77]) ).
cnf(refute_6_426,plain,
( op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_6_424,refute_6_425]) ).
cnf(refute_6_427,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(e22)]]) ).
cnf(refute_6_428,plain,
( op2(e21,e23) != e23
| e22 = e23
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_6_426,refute_6_427]) ).
cnf(refute_6_429,plain,
( e22 = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_6_412,refute_6_428]) ).
cnf(refute_6_430,plain,
e22 != e23,
inference(canonicalize,[],[normalize_6_78]) ).
cnf(refute_6_431,plain,
( op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_429,refute_6_430]) ).
cnf(refute_6_432,plain,
( e22 != e22
| op2(e21,e22) != e22
| op2(e21,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0,1],$fot(e22)]]) ).
cnf(refute_6_433,plain,
( e22 != e22
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_6_431,refute_6_432]) ).
cnf(refute_6_434,plain,
( e22 != e22
| h1(e11) = e20
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_6_433,refute_6_398]) ).
cnf(refute_6_435,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_6_436,plain,
( h1(e11) = e20
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_435,refute_6_434]) ).
cnf(refute_6_437,plain,
( e23 != e23
| op2(e21,e22) != e23
| op2(e21,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e23) ),[1],$fot(e23)]]) ).
cnf(refute_6_438,plain,
( e23 != e23
| h1(e11) = e20
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_6_436,refute_6_437]) ).
cnf(refute_6_439,plain,
( e23 != e23
| h1(e11) = e20
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_6_438,refute_6_370]) ).
cnf(refute_6_440,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_6_441,plain,
( h1(e11) = e20
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_440,refute_6_439]) ).
cnf(refute_6_442,plain,
( h2(e12) != op2(e21,e23)
| op2(e21,e23) != e22
| h2(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),e22) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_6_443,plain,
( h2(e12) != op2(e21,e23)
| h1(e11) = e20
| h2(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_6_441,refute_6_442]) ).
cnf(refute_6_444,plain,
( h1(e11) = e20
| h2(e12) = e22 ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e23)) )],[refute_6_350,refute_6_443]) ).
cnf(refute_6_445,plain,
( e22 != e22
| h2(e12) != e22
| h2(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e22) ),[1],$fot(e22)]]) ).
cnf(refute_6_446,plain,
( e22 != e22
| h1(e11) = e20
| h2(e12) = e22 ),
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_6_444,refute_6_445]) ).
cnf(refute_6_447,plain,
( e22 != e22
| ~ definitionFOFtoCNF_45
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_6_446,refute_6_287]) ).
cnf(refute_6_448,plain,
( ~ definitionFOFtoCNF_45
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_435,refute_6_447]) ).
cnf(refute_6_449,plain,
( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_45 ),
inference(canonicalize,[],[normalize_6_79]) ).
cnf(refute_6_450,plain,
( h2(e10) != e22
| h2(e10) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_6_451,plain,
( h2(e10) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e10),h1(e11)) )],[refute_6_340,refute_6_450]) ).
cnf(refute_6_452,plain,
( h1(e11) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h2(e10),e22) )],[refute_6_449,refute_6_451]) ).
cnf(refute_6_453,plain,
( e20 = e22
| h1(e11) = e22
| h2(e12) = e22
| h2(e13) = e22
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_6_452,refute_6_423]) ).
cnf(refute_6_454,plain,
h2(e13) = e21,
inference(canonicalize,[],[normalize_6_4]) ).
cnf(refute_6_455,plain,
( h2(e13) != e21
| h2(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_6_456,plain,
( h2(e13) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_6_454,refute_6_455]) ).
cnf(refute_6_457,plain,
( e20 = e22
| e21 = e22
| h1(e11) = e22
| h2(e12) = e22
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_453,refute_6_456]) ).
cnf(refute_6_458,plain,
( e21 = e22
| h1(e11) = e22
| h2(e12) = e22
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_6_457,refute_6_425]) ).
cnf(refute_6_459,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_80]) ).
cnf(refute_6_460,plain,
( e22 != op2(e23,e23)
| op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_6_461,plain,
( e22 != op2(e23,e23)
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_6_17,refute_6_460]) ).
cnf(refute_6_462,plain,
( e22 != e21
| op2(e23,e23) != e21
| e22 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_6_463,plain,
( e22 != e21
| e22 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_33,refute_6_462]) ).
cnf(refute_6_464,plain,
( e22 != e21
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_6_463,refute_6_461]) ).
cnf(refute_6_465,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_6_464,refute_6_459]) ).
cnf(refute_6_466,plain,
( e21 != e22
| e22 = e21 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(e22))]]) ).
cnf(refute_6_467,plain,
e21 != e22,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_6_466,refute_6_465]) ).
cnf(refute_6_468,plain,
( h1(e11) = e22
| h2(e12) = e22
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_6_458,refute_6_467]) ).
cnf(refute_6_469,plain,
( h2(e12) = e22
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_6_468,refute_6_157]) ).
cnf(refute_6_470,plain,
( h1(e11) != e20
| h2(e12) != op2(e21,h1(e11))
| h2(e12) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),op2(e21,h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_471,plain,
( h2(e12) != op2(e21,h1(e11))
| h1(e11) = e23
| h2(e12) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_197,refute_6_470]) ).
cnf(refute_6_472,plain,
( h1(e11) = e23
| h2(e12) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,h1(e11))) )],[refute_6_347,refute_6_471]) ).
cnf(refute_6_473,plain,
( h2(e12) != op2(e21,e20)
| op2(e21,e20) != e21
| h2(e12) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e12),e21) ),[0],$fot(op2(e21,e20))]]) ).
cnf(refute_6_474,plain,
( h2(e12) != op2(e21,e20)
| h2(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_6_193,refute_6_473]) ).
cnf(refute_6_475,plain,
( h1(e11) = e23
| h2(e12) = e21 ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e20)) )],[refute_6_472,refute_6_474]) ).
cnf(refute_6_476,plain,
( h2(e12) != e21
| h2(e12) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e22) ),[0],$fot(e21)]]) ).
cnf(refute_6_477,plain,
( h2(e12) != e22
| e21 = e22
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e12),e21) )],[refute_6_475,refute_6_476]) ).
cnf(refute_6_478,plain,
( e21 = e22
| h1(e11) = e23
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_6_469,refute_6_477]) ).
cnf(refute_6_479,plain,
( h1(e11) = e23
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_6_478,refute_6_467]) ).
cnf(refute_6_480,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e23
| h1(e10) = op2(h1(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_481,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),e23)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_6_479,refute_6_480]) ).
cnf(refute_6_482,plain,
( h1(e10) = op2(h1(e11),e23)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_6_137,refute_6_481]) ).
cnf(refute_6_483,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e20
| h1(e10) = op2(h1(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_484,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = e21
| h1(e10) = op2(h1(e11),e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_206,refute_6_483]) ).
cnf(refute_6_485,plain,
( h1(e10) = e21
| h1(e10) = op2(h1(e11),e20) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_6_137,refute_6_484]) ).
cnf(refute_6_486,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e20
| h1(e10) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_487,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(e20,h1(e11))
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_197,refute_6_486]) ).
cnf(refute_6_488,plain,
( h1(e10) = op2(e20,h1(e11))
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_6_137,refute_6_487]) ).
cnf(refute_6_489,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e11) != e20
| h1(e10) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_490,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = op2(e20,e20)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_197,refute_6_489]) ).
cnf(refute_6_491,plain,
( h1(e10) = op2(e20,e20)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_6_488,refute_6_490]) ).
cnf(refute_6_492,plain,
( h1(e10) != op2(e20,e20)
| op2(e20,e20) != h1(e11)
| h1(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h1(e11)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_6_493,plain,
( h1(e10) != op2(e20,e20)
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_119,refute_6_492]) ).
cnf(refute_6_494,plain,
( h1(e10) = h1(e11)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e20)) )],[refute_6_491,refute_6_493]) ).
cnf(refute_6_495,plain,
( h1(e11) != e20
| h1(e11) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[0],$fot(e20)]]) ).
cnf(refute_6_496,plain,
( h1(e11) != e23
| e20 = e23
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_206,refute_6_495]) ).
cnf(refute_6_497,plain,
( e20 = e23
| h1(e10) = e21
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_6_494,refute_6_496]) ).
cnf(refute_6_498,plain,
( e20 != e23
| h2(e11) != e20
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(e23)]]) ).
cnf(refute_6_499,plain,
( e20 != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_6_320,refute_6_498]) ).
cnf(refute_6_500,plain,
e20 != e23,
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_6_499,refute_6_407]) ).
cnf(refute_6_501,plain,
( h1(e10) = e21
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_6_497,refute_6_500]) ).
cnf(refute_6_502,plain,
( h1(e10) != h1(e11)
| h1(e11) = h1(e10) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h1(e10))),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_6_503,plain,
( h1(e10) = e21
| h1(e11) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e11)) )],[refute_6_501,refute_6_502]) ).
cnf(refute_6_504,plain,
( h1(e11) != e20
| h1(e11) != h1(e10)
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_6_505,plain,
( h1(e11) != e20
| h1(e10) = e20
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_6_503,refute_6_504]) ).
cnf(refute_6_506,plain,
( h1(e10) = e20
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_206,refute_6_505]) ).
cnf(refute_6_507,plain,
( h1(e10) != e20
| h1(e10) != op2(h1(e11),e20)
| e20 = op2(h1(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),e20)) ),[0],$fot(e20)]]) ).
cnf(refute_6_508,plain,
( h1(e10) != op2(h1(e11),e20)
| e20 = op2(h1(e11),e20)
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_6_506,refute_6_507]) ).
cnf(refute_6_509,plain,
( e20 = op2(h1(e11),e20)
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e20)) )],[refute_6_485,refute_6_508]) ).
cnf(refute_6_510,plain,
( e20 != op2(h1(e11),e20)
| h1(e11) != e23
| e20 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(h1(e11),e20)) ),[1,0],$fot(e23)]]) ).
cnf(refute_6_511,plain,
( e20 != op2(h1(e11),e20)
| e20 = op2(e23,e20)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_6_479,refute_6_510]) ).
cnf(refute_6_512,plain,
( e20 = op2(e23,e20)
| h1(e10) = e21
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(e20,op2(h1(e11),e20)) )],[refute_6_509,refute_6_511]) ).
cnf(refute_6_513,plain,
( e20 != op2(e23,e20)
| op2(e23,e20) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e22) ),[0],$fot(op2(e23,e20))]]) ).
cnf(refute_6_514,plain,
( e20 != op2(e23,e20)
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_6_17,refute_6_513]) ).
cnf(refute_6_515,plain,
( e20 = e22
| h1(e10) = e21
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(e20,op2(e23,e20)) )],[refute_6_512,refute_6_514]) ).
cnf(refute_6_516,plain,
( h1(e10) = e21
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_6_515,refute_6_425]) ).
cnf(refute_6_517,plain,
( h1(e10) != e21
| h1(e10) != op2(h1(e11),e23)
| e21 = op2(h1(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),e23)) ),[0],$fot(e21)]]) ).
cnf(refute_6_518,plain,
( h1(e10) != op2(h1(e11),e23)
| e21 = op2(h1(e11),e23)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_6_516,refute_6_517]) ).
cnf(refute_6_519,plain,
( e21 = op2(h1(e11),e23)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e23)) )],[refute_6_482,refute_6_518]) ).
cnf(refute_6_520,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_6_81]) ).
cnf(refute_6_521,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_6_522,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_523,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_6_521,refute_6_522]) ).
cnf(refute_6_524,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_167,refute_6_523]) ).
cnf(refute_6_525,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_6_526,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_527,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_6_525,refute_6_526]) ).
cnf(refute_6_528,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_167,refute_6_527]) ).
cnf(refute_6_529,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_6_530,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_6_528,refute_6_529]) ).
cnf(refute_6_531,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_6_524,refute_6_530]) ).
cnf(refute_6_532,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_6_533,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_6_531,refute_6_532]) ).
cnf(refute_6_534,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_119,refute_6_533]) ).
cnf(refute_6_535,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_6_536,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_6_534,refute_6_535]) ).
cnf(refute_6_537,plain,
h4(op1(e10,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_6_520,refute_6_536]) ).
cnf(refute_6_538,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_6_82]) ).
cnf(refute_6_539,plain,
( h4(e13) != op2(e21,e22)
| op1(e11,e12) != e13
| h4(op1(e11,e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0,0],$fot(e13)]]) ).
cnf(refute_6_540,plain,
( h4(e13) != op2(e21,e22)
| h4(op1(e11,e12)) = op2(e21,e22)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_6_105,refute_6_539]) ).
cnf(refute_6_541,plain,
( h4(e13) != op2(e21,e22)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_6_540,refute_6_46]) ).
cnf(refute_6_542,plain,
( e23 != op2(e21,e22)
| h4(e13) != e23
| h4(e13) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_6_543,plain,
( e23 != op2(e21,e22)
| h4(e13) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_6_211,refute_6_542]) ).
cnf(refute_6_544,plain,
( e23 != op2(e21,e22)
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,e22)) )],[refute_6_543,refute_6_541]) ).
cnf(refute_6_545,plain,
( h2(e12) != op2(e21,h1(e11))
| h2(e12) = op2(e21,e23)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_6_479,refute_6_348]) ).
cnf(refute_6_546,plain,
( h2(e12) = op2(e21,e23)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,h1(e11))) )],[refute_6_347,refute_6_545]) ).
cnf(refute_6_547,plain,
( h2(e12) != e22
| h2(e12) != op2(e21,e23)
| e22 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),op2(e21,e23)) ),[0],$fot(e22)]]) ).
cnf(refute_6_548,plain,
( h2(e12) != op2(e21,e23)
| e22 = op2(e21,e23)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_6_469,refute_6_547]) ).
cnf(refute_6_549,plain,
( e22 = op2(e21,e23)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e23)) )],[refute_6_546,refute_6_548]) ).
cnf(refute_6_550,plain,
( e22 != op2(e21,e23)
| op2(e21,e23) = e22 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_6_551,plain,
( op2(e21,e23) = e22
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_6_549,refute_6_550]) ).
cnf(refute_6_552,plain,
( op2(e21,e23) != e23
| e22 = e23
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_6_551,refute_6_427]) ).
cnf(refute_6_553,plain,
( e22 = e23
| op2(e21,e22) = e23
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_6_412,refute_6_552]) ).
cnf(refute_6_554,plain,
( op2(e21,e22) = e23
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_553,refute_6_430]) ).
cnf(refute_6_555,plain,
( e23 != e23
| op2(e21,e22) != e23
| e23 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e21,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_6_556,plain,
( e23 != e23
| e23 = op2(e21,e22)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_6_554,refute_6_555]) ).
cnf(refute_6_557,plain,
( e23 != e23
| op1(e11,e12) = e12
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e22)) )],[refute_6_556,refute_6_544]) ).
cnf(refute_6_558,plain,
( op1(e11,e12) = e12
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_440,refute_6_557]) ).
cnf(refute_6_559,plain,
( e12 != op1(e12,e12)
| op1(e11,e12) != e12
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_6_560,plain,
( e12 != op1(e12,e12)
| op1(e11,e12) = op1(e12,e12)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_6_558,refute_6_559]) ).
cnf(refute_6_561,plain,
( e12 != op1(e12,e12)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_6_560,refute_6_538]) ).
cnf(refute_6_562,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_6_83]) ).
cnf(refute_6_563,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_6_564,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_53,refute_6_563]) ).
cnf(refute_6_565,plain,
( e11 = e13
| op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_6_562,refute_6_564]) ).
cnf(refute_6_566,plain,
e11 != e13,
inference(canonicalize,[],[normalize_6_85]) ).
cnf(refute_6_567,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_6_565,refute_6_566]) ).
cnf(refute_6_568,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e11) ),[0],$fot(e10)]]) ).
cnf(refute_6_569,plain,
( op1(e11,e11) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_75,refute_6_568]) ).
cnf(refute_6_570,plain,
( e10 = e11
| op1(e10,e10) = e10
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_6_567,refute_6_569]) ).
cnf(refute_6_571,plain,
e10 != e11,
inference(canonicalize,[],[normalize_6_86]) ).
cnf(refute_6_572,plain,
( op1(e10,e10) = e10
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_6_570,refute_6_571]) ).
cnf(refute_6_573,plain,
( e12 != e12
| op1(e12,e12) != e12
| e12 = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e12,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_6_574,plain,
( e12 != e12
| e12 = op1(e12,e12)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_6_572,refute_6_573]) ).
cnf(refute_6_575,plain,
( e12 != e12
| op1(e10,e10) = e10
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(e12,op1(e12,e12)) )],[refute_6_574,refute_6_561]) ).
cnf(refute_6_576,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_6_577,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_6_576,refute_6_575]) ).
cnf(refute_6_578,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e10
| h4(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e10)]]) ).
cnf(refute_6_579,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e10) = h1(e11)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_6_577,refute_6_578]) ).
cnf(refute_6_580,plain,
( h4(e10) = h1(e11)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_6_537,refute_6_579]) ).
cnf(refute_6_581,plain,
( h4(e10) != e20
| h4(e10) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h1(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_6_582,plain,
( h4(e10) != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_167,refute_6_581]) ).
cnf(refute_6_583,plain,
( e20 = h1(e11)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_6_580,refute_6_582]) ).
cnf(refute_6_584,plain,
( e20 != h1(e11)
| h1(e11) = e20 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e20)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_6_585,plain,
( h1(e11) = e20
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_6_583,refute_6_584]) ).
cnf(refute_6_586,plain,
( e21 != op2(h1(e11),e23)
| h1(e11) != e20
| e21 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e21,op2(h1(e11),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_587,plain,
( e21 != op2(h1(e11),e23)
| e21 = op2(e20,e23)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_585,refute_6_586]) ).
cnf(refute_6_588,plain,
( e21 = op2(e20,e23)
| definitionFOFtoCNF_45 ),
inference(resolve,[$cnf( $equal(e21,op2(h1(e11),e23)) )],[refute_6_519,refute_6_587]) ).
cnf(refute_6_589,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_87]) ).
cnf(refute_6_590,plain,
( op2(e20,e23) != e21
| op2(e23,e23) != e21
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_6_591,plain,
( op2(e20,e23) != e21
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_33,refute_6_590]) ).
cnf(refute_6_592,plain,
op2(e20,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_6_591,refute_6_589]) ).
cnf(refute_6_593,plain,
( e21 != op2(e20,e23)
| op2(e20,e23) = e21 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_6_594,plain,
e21 != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_6_593,refute_6_592]) ).
cnf(refute_6_595,plain,
definitionFOFtoCNF_45,
inference(resolve,[$cnf( $equal(e21,op2(e20,e23)) )],[refute_6_588,refute_6_594]) ).
cnf(refute_6_596,plain,
h1(e11) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_45 )],[refute_6_595,refute_6_448]) ).
cnf(refute_6_597,plain,
( h1(e11) != e20
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = e20 ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(e20,e20))),bind(Y,$fot(h1(e11))),bind(Z,$fot(e20))]]) ).
cnf(refute_6_598,plain,
( h1(e11) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_119,refute_6_597]) ).
cnf(refute_6_599,plain,
op2(e20,e20) = e20,
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_596,refute_6_598]) ).
cnf(refute_6_600,plain,
op2(e20,h1(e11)) = op2(e20,h1(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h1(e11)))]]) ).
cnf(refute_6_601,plain,
( h1(e11) != e20
| op2(e20,h1(e11)) != op2(e20,h1(e11))
| op2(e20,h1(e11)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_602,plain,
( h1(e11) != e20
| op2(e20,h1(e11)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,h1(e11))) )],[refute_6_600,refute_6_601]) ).
cnf(refute_6_603,plain,
op2(e20,h1(e11)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_596,refute_6_602]) ).
cnf(refute_6_604,plain,
op2(h1(e11),h1(e11)) = op2(h1(e11),h1(e11)),
introduced(tautology,[refl,[$fot(op2(h1(e11),h1(e11)))]]) ).
cnf(refute_6_605,plain,
( h1(e11) != e20
| op2(h1(e11),h1(e11)) != op2(h1(e11),h1(e11))
| op2(h1(e11),h1(e11)) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),h1(e11)),op2(h1(e11),h1(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_606,plain,
( h1(e11) != e20
| op2(h1(e11),h1(e11)) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),h1(e11)),op2(h1(e11),h1(e11))) )],[refute_6_604,refute_6_605]) ).
cnf(refute_6_607,plain,
op2(h1(e11),h1(e11)) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_596,refute_6_606]) ).
cnf(refute_6_608,plain,
( op2(e20,h1(e11)) != op2(e20,e20)
| op2(h1(e11),h1(e11)) != op2(e20,h1(e11))
| op2(h1(e11),h1(e11)) = op2(e20,e20) ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(h1(e11),h1(e11)))),bind(Y,$fot(op2(e20,h1(e11)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_6_609,plain,
( op2(e20,h1(e11)) != op2(e20,e20)
| op2(h1(e11),h1(e11)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),h1(e11)),op2(e20,h1(e11))) )],[refute_6_607,refute_6_608]) ).
cnf(refute_6_610,plain,
op2(h1(e11),h1(e11)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,e20)) )],[refute_6_603,refute_6_609]) ).
cnf(refute_6_611,plain,
( op2(e20,e20) != e20
| op2(h1(e11),h1(e11)) != op2(e20,e20)
| op2(h1(e11),h1(e11)) = e20 ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(h1(e11),h1(e11)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e20))]]) ).
cnf(refute_6_612,plain,
( op2(e20,e20) != e20
| op2(h1(e11),h1(e11)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h1(e11),h1(e11)),op2(e20,e20)) )],[refute_6_610,refute_6_611]) ).
cnf(refute_6_613,plain,
op2(h1(e11),h1(e11)) = e20,
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_6_599,refute_6_612]) ).
cnf(refute_6_614,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| op2(h1(e11),h1(e11)) != e20
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e20) ),[0],$fot(op2(h1(e11),h1(e11)))]]) ).
cnf(refute_6_615,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(h1(e11),h1(e11)),e20) )],[refute_6_613,refute_6_614]) ).
cnf(refute_6_616,plain,
h1(e10) = e20,
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_6_137,refute_6_615]) ).
cnf(refute_6_617,plain,
( h1(e10) != e20
| h1(e10) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e21) ),[0],$fot(e20)]]) ).
cnf(refute_6_618,plain,
( h1(e10) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_6_616,refute_6_617]) ).
cnf(refute_6_619,plain,
( e20 = e21
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_6_286,refute_6_618]) ).
cnf(refute_6_620,plain,
op1(e12,e10) = e13,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_6_619,refute_6_394]) ).
cnf(refute_6_621,plain,
op1(e10,op1(e12,e10)) = op1(e10,op1(e12,e10)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e10)))]]) ).
cnf(refute_6_622,plain,
( op1(e10,op1(e12,e10)) != op1(e10,op1(e12,e10))
| op1(e12,e10) != e13
| op1(e10,op1(e12,e10)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e10)),op1(e10,op1(e12,e10))) ),[1,1],$fot(e13)]]) ).
cnf(refute_6_623,plain,
( op1(e12,e10) != e13
| op1(e10,op1(e12,e10)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e10)),op1(e10,op1(e12,e10))) )],[refute_6_621,refute_6_622]) ).
cnf(refute_6_624,plain,
op1(e10,op1(e12,e10)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_6_620,refute_6_623]) ).
cnf(refute_6_625,plain,
( op1(e10,e13) != op1(e12,e10)
| op1(e10,op1(e12,e10)) != op1(e10,e13)
| op1(e10,op1(e12,e10)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e10)),op1(e10,e13)) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_6_626,plain,
( op1(e10,e13) != op1(e12,e10)
| op1(e10,op1(e12,e10)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e10)),op1(e10,e13)) )],[refute_6_624,refute_6_625]) ).
cnf(refute_6_627,plain,
( op1(e10,e13) != e13
| op1(e12,e10) != e13
| op1(e10,e13) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_6_628,plain,
( op1(e10,e13) != e13
| op1(e10,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_6_620,refute_6_627]) ).
cnf(refute_6_629,plain,
( op1(e10,e13) != e13
| op1(e10,op1(e12,e10)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e10)) )],[refute_6_628,refute_6_626]) ).
cnf(refute_6_630,plain,
( op1(e10,e13) != e13
| ~ definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e10)),op1(e12,e10)) )],[refute_6_629,refute_6_114]) ).
cnf(refute_6_631,plain,
( op1(e11,op1(e13,e11)) != op1(e13,e11)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_6_95]) ).
cnf(refute_6_632,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_6_96]) ).
cnf(refute_6_633,plain,
( e11 != e11
| op1(e13,e13) != e11
| op1(e13,e13) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).
cnf(refute_6_634,plain,
( e11 != e11
| op1(e13,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_53,refute_6_633]) ).
cnf(refute_6_635,plain,
( e11 != e11
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_634,refute_6_632]) ).
cnf(refute_6_636,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_6_637,plain,
op1(e13,e11) = e13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_636,refute_6_635]) ).
cnf(refute_6_638,plain,
op1(e11,op1(e13,e11)) = op1(e11,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e11)))]]) ).
cnf(refute_6_639,plain,
( op1(e11,op1(e13,e11)) != op1(e11,op1(e13,e11))
| op1(e13,e11) != e13
| op1(e11,op1(e13,e11)) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11))) ),[1,1],$fot(e13)]]) ).
cnf(refute_6_640,plain,
( op1(e13,e11) != e13
| op1(e11,op1(e13,e11)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11))) )],[refute_6_638,refute_6_639]) ).
cnf(refute_6_641,plain,
op1(e11,op1(e13,e11)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_6_637,refute_6_640]) ).
cnf(refute_6_642,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e11,op1(e13,e11)) != op1(e11,e13)
| op1(e11,op1(e13,e11)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,e13)) ),[1],$fot(op1(e13,e11))]]) ).
cnf(refute_6_643,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e11,op1(e13,e11)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,e13)) )],[refute_6_641,refute_6_642]) ).
cnf(refute_6_644,plain,
( op1(e11,e13) != e13
| op1(e13,e11) != e13
| op1(e11,e13) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_6_645,plain,
( op1(e11,e13) != e13
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_6_637,refute_6_644]) ).
cnf(refute_6_646,plain,
( op1(e11,e13) != e13
| op1(e11,op1(e13,e11)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_6_645,refute_6_643]) ).
cnf(refute_6_647,plain,
( op1(e11,e13) != e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e13,e11)) )],[refute_6_646,refute_6_631]) ).
cnf(refute_6_648,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_6_98]) ).
cnf(refute_6_649,plain,
( op1(e11,e11) != e13
| op1(e11,e13) = e11 ),
inference(canonicalize,[],[normalize_6_99]) ).
cnf(refute_6_650,plain,
op1(e11,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_6_649,refute_6_56]) ).
cnf(refute_6_651,plain,
( op1(e11,e10) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_6_648,refute_6_650]) ).
cnf(refute_6_652,plain,
( op1(e11,e10) != e11
| op1(e11,e10) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e13) ),[0],$fot(e11)]]) ).
cnf(refute_6_653,plain,
( op1(e11,e10) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_6_99,refute_6_652]) ).
cnf(refute_6_654,plain,
( e11 = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_6_651,refute_6_653]) ).
cnf(refute_6_655,plain,
( op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_6_654,refute_6_566]) ).
cnf(refute_6_656,plain,
( e13 != e13
| op1(e11,e13) != e13
| op1(e11,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_6_657,plain,
( e13 != e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_6_655,refute_6_656]) ).
cnf(refute_6_658,plain,
( e13 != e13
| op1(e11,e12) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_6_657,refute_6_647]) ).
cnf(refute_6_659,plain,
( op1(e11,e12) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_109,refute_6_658]) ).
cnf(refute_6_660,plain,
( h4(e13) != op2(e21,e22)
| h4(op1(e11,e12)) = op2(e21,e22)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_6_659,refute_6_539]) ).
cnf(refute_6_661,plain,
( h4(e13) != op2(e21,e22)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_6_660,refute_6_46]) ).
cnf(refute_6_662,plain,
( e23 != op2(e21,e22)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,e22)) )],[refute_6_543,refute_6_661]) ).
cnf(refute_6_663,plain,
( op2(e21,op2(e23,e21)) != op2(e23,e21)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_6_108]) ).
cnf(refute_6_664,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_6_109]) ).
cnf(refute_6_665,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_6_666,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_33,refute_6_665]) ).
cnf(refute_6_667,plain,
( e21 != e21
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_666,refute_6_664]) ).
cnf(refute_6_668,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_6_669,plain,
op2(e23,e21) = e23,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_668,refute_6_667]) ).
cnf(refute_6_670,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_6_671,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != e23
| op2(e21,op2(e23,e21)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_672,plain,
( op2(e23,e21) != e23
| op2(e21,op2(e23,e21)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_6_670,refute_6_671]) ).
cnf(refute_6_673,plain,
op2(e21,op2(e23,e21)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_6_669,refute_6_672]) ).
cnf(refute_6_674,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e21,op2(e23,e21)) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,e23)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_6_675,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e21,op2(e23,e21)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,e23)) )],[refute_6_673,refute_6_674]) ).
cnf(refute_6_676,plain,
( op2(e21,e23) != e23
| op2(e23,e21) != e23
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_6_677,plain,
( op2(e21,e23) != e23
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_6_669,refute_6_676]) ).
cnf(refute_6_678,plain,
( op2(e21,e23) != e23
| op2(e21,op2(e23,e21)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_6_677,refute_6_675]) ).
cnf(refute_6_679,plain,
( op2(e21,e23) != e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e23,e21)) )],[refute_6_678,refute_6_663]) ).
cnf(refute_6_680,plain,
( e23 != e23
| op2(e21,e23) != e23
| op2(e21,e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0,1],$fot(e23)]]) ).
cnf(refute_6_681,plain,
( e23 != e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_6_412,refute_6_680]) ).
cnf(refute_6_682,plain,
( e23 != e23
| op2(e21,e22) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_6_681,refute_6_679]) ).
cnf(refute_6_683,plain,
( op2(e21,e22) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_440,refute_6_682]) ).
cnf(refute_6_684,plain,
( e23 != e23
| e23 = op2(e21,e22)
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_6_683,refute_6_555]) ).
cnf(refute_6_685,plain,
( e23 != e23
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e22)) )],[refute_6_684,refute_6_662]) ).
cnf(refute_6_686,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_440,refute_6_685]) ).
cnf(refute_6_687,plain,
( op2(e21,op2(e22,e21)) != op2(e22,e21)
| ~ definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_6_111]) ).
cnf(refute_6_688,plain,
( op2(e22,e22) != e21
| op2(e22,e21) = e22 ),
inference(canonicalize,[],[normalize_6_112]) ).
cnf(refute_6_689,plain,
( h3(e11) != e21
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_6_690,plain,
( h3(e11) != e21
| op2(e22,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_374,refute_6_689]) ).
cnf(refute_6_691,plain,
( h3(e11) != e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_6_690,refute_6_688]) ).
cnf(refute_6_692,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_6_113]) ).
cnf(refute_6_693,plain,
op1(e10,e11) != op1(e12,e11),
inference(canonicalize,[],[normalize_6_114]) ).
cnf(refute_6_694,plain,
( op1(e12,e12) != e11
| op1(e12,e11) = e12 ),
inference(canonicalize,[],[normalize_6_115]) ).
cnf(refute_6_695,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(canonicalize,[],[normalize_6_116]) ).
cnf(refute_6_696,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_6_117]) ).
cnf(refute_6_697,plain,
( op1(e13,e12) != e11
| op1(e13,e13) != e11
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_698,plain,
( op1(e13,e12) != e11
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_53,refute_6_697]) ).
cnf(refute_6_699,plain,
op1(e13,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_6_698,refute_6_696]) ).
cnf(refute_6_700,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_6_695,refute_6_699]) ).
cnf(refute_6_701,plain,
( op1(e10,e12) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_6_700,refute_6_104]) ).
cnf(refute_6_702,plain,
( e11 != e11
| op1(e12,e12) != e11
| op1(e12,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_6_703,plain,
( e11 != e11
| op1(e10,e12) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_6_701,refute_6_702]) ).
cnf(refute_6_704,plain,
( e11 != e11
| op1(e10,e12) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_6_703,refute_6_694]) ).
cnf(refute_6_705,plain,
( op1(e10,e12) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_636,refute_6_704]) ).
cnf(refute_6_706,plain,
( op1(e10,e11) != e12
| op1(e12,e11) != e12
| op1(e10,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e12,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_6_707,plain,
( op1(e10,e11) != e12
| op1(e10,e11) = op1(e12,e11)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_6_705,refute_6_706]) ).
cnf(refute_6_708,plain,
( op1(e10,e11) != e12
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e11)) )],[refute_6_707,refute_6_693]) ).
cnf(refute_6_709,plain,
op2(e20,e21) != op2(e20,e22),
inference(canonicalize,[],[normalize_6_118]) ).
cnf(refute_6_710,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_6_119]) ).
cnf(refute_6_711,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_6_712,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) != op2(e20,h4(e11))
| op2(e20,h4(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_6_713,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_6_711,refute_6_712]) ).
cnf(refute_6_714,plain,
op2(e20,h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_36,refute_6_713]) ).
cnf(refute_6_715,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_6_716,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_717,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_6_715,refute_6_716]) ).
cnf(refute_6_718,plain,
op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_167,refute_6_717]) ).
cnf(refute_6_719,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_6_720,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_6_718,refute_6_719]) ).
cnf(refute_6_721,plain,
op2(h4(e10),h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_6_714,refute_6_720]) ).
cnf(refute_6_722,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_6_723,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_6_721,refute_6_722]) ).
cnf(refute_6_724,plain,
h4(op1(e10,e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_6_710,refute_6_723]) ).
cnf(refute_6_725,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(canonicalize,[],[normalize_6_120]) ).
cnf(refute_6_726,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_6_121]) ).
cnf(refute_6_727,plain,
( op1(e10,e11) != e10
| op1(e11,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_6_728,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_75,refute_6_727]) ).
cnf(refute_6_729,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_6_728,refute_6_726]) ).
cnf(refute_6_730,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_6_725,refute_6_729]) ).
cnf(refute_6_731,plain,
op1(e10,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_6_122]) ).
cnf(refute_6_732,plain,
( op1(e10,e11) != e13
| op1(e13,e11) != e13
| op1(e10,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_6_733,plain,
( op1(e10,e11) != e13
| op1(e10,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_6_637,refute_6_732]) ).
cnf(refute_6_734,plain,
op1(e10,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_6_733,refute_6_731]) ).
cnf(refute_6_735,plain,
( op1(e10,e11) = e11
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_6_730,refute_6_734]) ).
cnf(refute_6_736,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op1(e10,e11) != e11
| h4(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0,0],$fot(e11)]]) ).
cnf(refute_6_737,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(e11) = op2(e20,e21)
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_6_735,refute_6_736]) ).
cnf(refute_6_738,plain,
( h4(e11) = op2(e20,e21)
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_6_724,refute_6_737]) ).
cnf(refute_6_739,plain,
( h4(e11) != e21
| h4(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e20,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_6_740,plain,
( h4(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_36,refute_6_739]) ).
cnf(refute_6_741,plain,
( e21 = op2(e20,e21)
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e21)) )],[refute_6_738,refute_6_740]) ).
cnf(refute_6_742,plain,
( e21 != op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_6_743,plain,
( op1(e10,e11) = e12
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_6_741,refute_6_742]) ).
cnf(refute_6_744,plain,
( e21 != op2(e20,e22)
| op2(e20,e21) != e21
| op2(e20,e21) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_6_745,plain,
( e21 != op2(e20,e22)
| op1(e10,e11) = e12
| op2(e20,e21) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_743,refute_6_744]) ).
cnf(refute_6_746,plain,
( e21 != op2(e20,e22)
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e22)) )],[refute_6_745,refute_6_709]) ).
cnf(refute_6_747,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_6_123]) ).
cnf(refute_6_748,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_6_749,plain,
( op2(e22,e22) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_374,refute_6_748]) ).
cnf(refute_6_750,plain,
( h3(e11) = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_6_747,refute_6_749]) ).
cnf(refute_6_751,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_124]) ).
cnf(refute_6_752,plain,
( op2(e23,e22) != e21
| op2(e23,e23) != e21
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_6_753,plain,
( op2(e23,e22) != e21
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_33,refute_6_752]) ).
cnf(refute_6_754,plain,
op2(e23,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_6_753,refute_6_751]) ).
cnf(refute_6_755,plain,
( h3(e11) = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_6_750,refute_6_754]) ).
cnf(refute_6_756,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_6_125]) ).
cnf(refute_6_757,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_6_758,plain,
( e21 != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_6_193,refute_6_757]) ).
cnf(refute_6_759,plain,
e21 != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_6_758,refute_6_756]) ).
cnf(refute_6_760,plain,
( op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(op2(e21,e22))),bind(Y,$fot(e21))]]) ).
cnf(refute_6_761,plain,
op2(e21,e22) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_6_760,refute_6_759]) ).
cnf(refute_6_762,plain,
( h3(e11) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_755,refute_6_761]) ).
cnf(refute_6_763,plain,
( e21 != e21
| op2(e20,e22) != e21
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_6_764,plain,
( e21 != e21
| e21 = op2(e20,e22)
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_6_762,refute_6_763]) ).
cnf(refute_6_765,plain,
( e21 != e21
| h3(e11) = e21
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_6_764,refute_6_746]) ).
cnf(refute_6_766,plain,
( h3(e11) = e21
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_668,refute_6_765]) ).
cnf(refute_6_767,plain,
( e12 != e12
| op1(e10,e11) != e12
| op1(e10,e11) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[1],$fot(e12)]]) ).
cnf(refute_6_768,plain,
( e12 != e12
| h3(e11) = e21
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_6_766,refute_6_767]) ).
cnf(refute_6_769,plain,
( e12 != e12
| h3(e11) = e21
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_6_768,refute_6_708]) ).
cnf(refute_6_770,plain,
( h3(e11) = e21
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_6_576,refute_6_769]) ).
cnf(refute_6_771,plain,
( e11 != op1(e12,e12)
| op1(e10,e12) != e11
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_6_772,plain,
( e11 != op1(e12,e12)
| h3(e11) = e21
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_770,refute_6_771]) ).
cnf(refute_6_773,plain,
( e11 != op1(e12,e12)
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_6_772,refute_6_692]) ).
cnf(refute_6_774,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_6_126]) ).
cnf(refute_6_775,plain,
( op2(e22,e20) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_6_776,plain,
( op2(e22,e20) != h3(e11)
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_374,refute_6_775]) ).
cnf(refute_6_777,plain,
op2(e22,e20) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_6_776,refute_6_774]) ).
cnf(refute_6_778,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(canonicalize,[],[normalize_6_127]) ).
cnf(refute_6_779,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_6_780,plain,
( op2(e22,e22) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_374,refute_6_779]) ).
cnf(refute_6_781,plain,
( h3(e11) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_6_778,refute_6_780]) ).
cnf(refute_6_782,plain,
( h3(e11) = e20
| h3(e11) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_6_781,refute_6_749]) ).
cnf(refute_6_783,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_6_782,refute_6_384]) ).
cnf(refute_6_784,plain,
( op2(e22,e22) != e23
| op2(e22,e22) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_6_785,plain,
( op2(e22,e22) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_374,refute_6_784]) ).
cnf(refute_6_786,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_783,refute_6_785]) ).
cnf(refute_6_787,plain,
( op2(e22,e22) != e20
| op2(e22,e20) = e22 ),
inference(canonicalize,[],[normalize_6_128]) ).
cnf(refute_6_788,plain,
( h3(e11) != e20
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_6_789,plain,
( h3(e11) != e20
| op2(e22,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_374,refute_6_788]) ).
cnf(refute_6_790,plain,
( h3(e11) != e20
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_6_789,refute_6_787]) ).
cnf(refute_6_791,plain,
op2(e22,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_6_129]) ).
cnf(refute_6_792,plain,
( op2(e22,e20) != e22
| op2(e23,e20) != e22
| op2(e22,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_6_793,plain,
( op2(e22,e20) != e22
| op2(e22,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_6_17,refute_6_792]) ).
cnf(refute_6_794,plain,
op2(e22,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e23,e20)) )],[refute_6_793,refute_6_791]) ).
cnf(refute_6_795,plain,
h3(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_6_790,refute_6_794]) ).
cnf(refute_6_796,plain,
( h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_6_786,refute_6_795]) ).
cnf(refute_6_797,plain,
( h3(e11) != e23
| op2(e22,e20) != e23
| op2(e22,e20) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),h3(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_6_798,plain,
( op2(e22,e20) != e23
| h3(e11) = e21
| h3(e11) = e22
| op2(e22,e20) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_6_796,refute_6_797]) ).
cnf(refute_6_799,plain,
( op2(e22,e20) != e23
| h3(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h3(e11)) )],[refute_6_798,refute_6_777]) ).
cnf(refute_6_800,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_6_130]) ).
cnf(refute_6_801,plain,
( h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_6_800,refute_6_149]) ).
cnf(refute_6_802,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0],$fot(e22)]]) ).
cnf(refute_6_803,plain,
( op2(e23,e20) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_6_17,refute_6_802]) ).
cnf(refute_6_804,plain,
( e22 = e23
| h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_6_801,refute_6_803]) ).
cnf(refute_6_805,plain,
( h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_804,refute_6_430]) ).
cnf(refute_6_806,plain,
( e21 = e23
| h1(e11) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_6_805,refute_6_410]) ).
cnf(refute_6_807,plain,
( h1(e11) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_806,refute_6_389]) ).
cnf(refute_6_808,plain,
( e23 != e23
| op2(e22,e20) != e23
| op2(e22,e20) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e23) ),[1],$fot(e23)]]) ).
cnf(refute_6_809,plain,
( e23 != e23
| h1(e11) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_6_807,refute_6_808]) ).
cnf(refute_6_810,plain,
( e23 != e23
| h1(e11) = e23
| h3(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_6_809,refute_6_799]) ).
cnf(refute_6_811,plain,
( h1(e11) = e23
| h3(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_440,refute_6_810]) ).
cnf(refute_6_812,plain,
( op2(e21,e22) != e22
| h1(e11) = e23
| h3(e11) = e21
| op2(e21,e22) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_6_811,refute_6_396]) ).
cnf(refute_6_813,plain,
( op2(e21,e22) != e22
| h1(e11) = e23
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h3(e11)) )],[refute_6_812,refute_6_377]) ).
cnf(refute_6_814,plain,
( h1(e11) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_596,refute_6_495]) ).
cnf(refute_6_815,plain,
( op2(e21,e22) != e22
| e20 = e23
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_6_813,refute_6_814]) ).
cnf(refute_6_816,plain,
( op2(e21,e22) != e22
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_6_815,refute_6_500]) ).
cnf(refute_6_817,plain,
( e23 != e23
| e23 = op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_6_431,refute_6_555]) ).
cnf(refute_6_818,plain,
( e23 != e23
| op1(e11,e12) = e12
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e22)) )],[refute_6_817,refute_6_544]) ).
cnf(refute_6_819,plain,
( op1(e11,e12) = e12
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_440,refute_6_818]) ).
cnf(refute_6_820,plain,
( e22 != e22
| op1(e11,e12) = e12
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_6_819,refute_6_432]) ).
cnf(refute_6_821,plain,
( e22 != e22
| h3(e11) = e21
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_6_820,refute_6_816]) ).
cnf(refute_6_822,plain,
( h3(e11) = e21
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_435,refute_6_821]) ).
cnf(refute_6_823,plain,
( e12 != op1(e12,e12)
| h3(e11) = e21
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_6_822,refute_6_559]) ).
cnf(refute_6_824,plain,
( e12 != op1(e12,e12)
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_6_823,refute_6_538]) ).
cnf(refute_6_825,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(canonicalize,[],[normalize_6_131]) ).
cnf(refute_6_826,plain,
( op1(e12,e12) != e10
| op1(e12,e10) = e12 ),
inference(canonicalize,[],[normalize_6_132]) ).
cnf(refute_6_827,plain,
op1(e12,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_6_826,refute_6_274]) ).
cnf(refute_6_828,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_6_825,refute_6_827]) ).
cnf(refute_6_829,plain,
( e12 != e12
| e12 = op1(e12,e12)
| op1(e12,e12) = e11
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_6_828,refute_6_573]) ).
cnf(refute_6_830,plain,
( e12 != e12
| h3(e11) = e21
| op1(e12,e12) = e11
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(e12,op1(e12,e12)) )],[refute_6_829,refute_6_824]) ).
cnf(refute_6_831,plain,
( h3(e11) = e21
| op1(e12,e12) = e11
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_6_576,refute_6_830]) ).
cnf(refute_6_832,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e12 ),
inference(canonicalize,[],[normalize_6_133]) ).
cnf(refute_6_833,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(canonicalize,[],[normalize_6_134]) ).
cnf(refute_6_834,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_6_833,refute_6_827]) ).
cnf(refute_6_835,plain,
op1(e11,e11) != op1(e12,e11),
inference(canonicalize,[],[normalize_6_135]) ).
cnf(refute_6_836,plain,
( e10 != op1(e12,e11)
| op1(e11,e11) != e10
| op1(e11,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_6_837,plain,
( e10 != op1(e12,e11)
| op1(e11,e11) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_75,refute_6_836]) ).
cnf(refute_6_838,plain,
e10 != op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e12,e11)) )],[refute_6_837,refute_6_835]) ).
cnf(refute_6_839,plain,
( op1(e12,e11) != e10
| e10 = op1(e12,e11) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(op1(e12,e11))),bind(Y,$fot(e10))]]) ).
cnf(refute_6_840,plain,
op1(e12,e11) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e12,e11)) )],[refute_6_839,refute_6_838]) ).
cnf(refute_6_841,plain,
( op1(e12,e10) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_6_834,refute_6_840]) ).
cnf(refute_6_842,plain,
( op1(e12,e10) != e10
| op1(e12,e10) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[0],$fot(e13)]]) ).
cnf(refute_6_843,plain,
( op1(e12,e10) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_6_620,refute_6_842]) ).
cnf(refute_6_844,plain,
( e13 = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_6_841,refute_6_843]) ).
cnf(refute_6_845,plain,
e10 != e13,
inference(canonicalize,[],[normalize_6_136]) ).
cnf(refute_6_846,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_6_847,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_6_846,refute_6_845]) ).
cnf(refute_6_848,plain,
op1(e12,e13) = e10,
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_6_844,refute_6_847]) ).
cnf(refute_6_849,plain,
( op1(e12,e13) != e10
| op1(e12,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_6_850,plain,
( op1(e12,e13) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_6_848,refute_6_849]) ).
cnf(refute_6_851,plain,
( op1(e12,e12) != e13
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_6_832,refute_6_850]) ).
cnf(refute_6_852,plain,
e10 != e12,
inference(canonicalize,[],[normalize_6_137]) ).
cnf(refute_6_853,plain,
op1(e12,e12) != e13,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_6_851,refute_6_852]) ).
cnf(refute_6_854,plain,
( h3(e11) = e21
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_831,refute_6_853]) ).
cnf(refute_6_855,plain,
( e11 != e11
| op1(e12,e12) != e11
| e11 = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_6_856,plain,
( e11 != e11
| e11 = op1(e12,e12)
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_6_854,refute_6_855]) ).
cnf(refute_6_857,plain,
( e11 != e11
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(e11,op1(e12,e12)) )],[refute_6_856,refute_6_773]) ).
cnf(refute_6_858,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_636,refute_6_857]) ).
cnf(refute_6_859,plain,
( e21 != e21
| h3(e11) != e21
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_6_860,plain,
( e21 != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_6_858,refute_6_859]) ).
cnf(refute_6_861,plain,
( e21 != e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_6_860,refute_6_691]) ).
cnf(refute_6_862,plain,
op2(e22,e21) = e22,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_668,refute_6_861]) ).
cnf(refute_6_863,plain,
op2(e21,op2(e22,e21)) = op2(e21,op2(e22,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e21)))]]) ).
cnf(refute_6_864,plain,
( op2(e21,op2(e22,e21)) != op2(e21,op2(e22,e21))
| op2(e22,e21) != e22
| op2(e21,op2(e22,e21)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e21)),op2(e21,op2(e22,e21))) ),[1,1],$fot(e22)]]) ).
cnf(refute_6_865,plain,
( op2(e22,e21) != e22
| op2(e21,op2(e22,e21)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e21)),op2(e21,op2(e22,e21))) )],[refute_6_863,refute_6_864]) ).
cnf(refute_6_866,plain,
op2(e21,op2(e22,e21)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_6_862,refute_6_865]) ).
cnf(refute_6_867,plain,
( op2(e21,e22) != op2(e22,e21)
| op2(e21,op2(e22,e21)) != op2(e21,e22)
| op2(e21,op2(e22,e21)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e21)),op2(e21,e22)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_6_868,plain,
( op2(e21,e22) != op2(e22,e21)
| op2(e21,op2(e22,e21)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e21)),op2(e21,e22)) )],[refute_6_866,refute_6_867]) ).
cnf(refute_6_869,plain,
( op2(e21,e22) != e22
| op2(e22,e21) != e22
| op2(e21,e22) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_6_870,plain,
( op2(e21,e22) != e22
| op2(e21,e22) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_6_862,refute_6_869]) ).
cnf(refute_6_871,plain,
( op2(e21,e22) != e22
| op2(e21,op2(e22,e21)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e21)) )],[refute_6_870,refute_6_868]) ).
cnf(refute_6_872,plain,
( op2(e21,e22) != e22
| ~ definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e21)),op2(e22,e21)) )],[refute_6_871,refute_6_687]) ).
cnf(refute_6_873,plain,
( e23 != e23
| op2(e21,e22) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e22)) )],[refute_6_817,refute_6_662]) ).
cnf(refute_6_874,plain,
( op2(e21,e22) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_440,refute_6_873]) ).
cnf(refute_6_875,plain,
( e22 != e22
| op2(e21,e22) = e22
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_6_874,refute_6_432]) ).
cnf(refute_6_876,plain,
( e22 != e22
| ~ definitionFOFtoCNF_5
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_6_875,refute_6_872]) ).
cnf(refute_6_877,plain,
( ~ definitionFOFtoCNF_5
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_435,refute_6_876]) ).
cnf(refute_6_878,plain,
( op1(e10,op1(e11,e10)) != op1(e11,e10)
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_6_139]) ).
cnf(refute_6_879,plain,
op1(e10,op1(e11,e10)) = op1(e10,op1(e11,e10)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e11,e10)))]]) ).
cnf(refute_6_880,plain,
( op1(e10,op1(e11,e10)) != op1(e10,op1(e11,e10))
| op1(e11,e10) != e11
| op1(e10,op1(e11,e10)) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e10)),op1(e10,op1(e11,e10))) ),[1,1],$fot(e11)]]) ).
cnf(refute_6_881,plain,
( op1(e11,e10) != e11
| op1(e10,op1(e11,e10)) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e10)),op1(e10,op1(e11,e10))) )],[refute_6_879,refute_6_880]) ).
cnf(refute_6_882,plain,
op1(e10,op1(e11,e10)) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_6_99,refute_6_881]) ).
cnf(refute_6_883,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e10,op1(e11,e10)) != op1(e10,e11)
| op1(e10,op1(e11,e10)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e10)),op1(e10,e11)) ),[1],$fot(op1(e11,e10))]]) ).
cnf(refute_6_884,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e10,op1(e11,e10)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e10)),op1(e10,e11)) )],[refute_6_882,refute_6_883]) ).
cnf(refute_6_885,plain,
( op1(e10,e11) != e11
| op1(e11,e10) != e11
| op1(e10,e11) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e10)) ),[1],$fot(e11)]]) ).
cnf(refute_6_886,plain,
( op1(e10,e11) != e11
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_6_99,refute_6_885]) ).
cnf(refute_6_887,plain,
( op1(e10,e11) != e11
| op1(e10,op1(e11,e10)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_6_886,refute_6_884]) ).
cnf(refute_6_888,plain,
( op1(e10,e11) != e11
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e10)),op1(e11,e10)) )],[refute_6_887,refute_6_878]) ).
cnf(refute_6_889,plain,
( e11 != e11
| op1(e10,e11) != e11
| op1(e10,e11) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0,1],$fot(e11)]]) ).
cnf(refute_6_890,plain,
( e11 != e11
| op1(e10,e11) = e11
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_6_735,refute_6_889]) ).
cnf(refute_6_891,plain,
( e11 != e11
| ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_6_890,refute_6_888]) ).
cnf(refute_6_892,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_6_636,refute_6_891]) ).
cnf(refute_6_893,plain,
( op1(e10,op1(e10,e10)) != op1(e10,e10)
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_6_141]) ).
cnf(refute_6_894,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e13
| h4(e13) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_6_895,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e13) = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_6_249,refute_6_894]) ).
cnf(refute_6_896,plain,
( h4(e13) = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_6_537,refute_6_895]) ).
cnf(refute_6_897,plain,
( h4(e13) != e23
| h4(e13) != h1(e11)
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h1(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_6_898,plain,
( h4(e13) != h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_6_211,refute_6_897]) ).
cnf(refute_6_899,plain,
( e23 = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e13),h1(e11)) )],[refute_6_896,refute_6_898]) ).
cnf(refute_6_900,plain,
( e23 != h1(e11)
| h1(e11) != e20
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_6_901,plain,
( e23 != h1(e11)
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_596,refute_6_900]) ).
cnf(refute_6_902,plain,
( e23 = e20
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_6_899,refute_6_901]) ).
cnf(refute_6_903,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_6_904,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_6_903,refute_6_500]) ).
cnf(refute_6_905,plain,
op1(e10,e10) = e10,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_6_902,refute_6_904]) ).
cnf(refute_6_906,plain,
op1(e10,op1(e10,e10)) = op1(e10,op1(e10,e10)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e10,e10)))]]) ).
cnf(refute_6_907,plain,
( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) != op1(e10,op1(e10,e10))
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e10)),op1(e10,op1(e10,e10))) ),[1,1],$fot(e10)]]) ).
cnf(refute_6_908,plain,
( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),op1(e10,op1(e10,e10))) )],[refute_6_906,refute_6_907]) ).
cnf(refute_6_909,plain,
op1(e10,op1(e10,e10)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_6_905,refute_6_908]) ).
cnf(refute_6_910,plain,
( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) != op1(e10,e10)
| op1(e10,op1(e10,e10)) = e10 ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op1(e10,op1(e10,e10)))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e10))]]) ).
cnf(refute_6_911,plain,
( op1(e10,e10) != e10
| op1(e10,op1(e10,e10)) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),op1(e10,e10)) )],[refute_6_909,refute_6_910]) ).
cnf(refute_6_912,plain,
op1(e10,op1(e10,e10)) = e10,
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_6_905,refute_6_911]) ).
cnf(refute_6_913,plain,
( e10 != op1(e10,e10)
| op1(e10,op1(e10,e10)) != e10
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e10,e10)),e10) ),[1],$fot(op1(e10,e10))]]) ).
cnf(refute_6_914,plain,
( e10 != op1(e10,e10)
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),e10) )],[refute_6_912,refute_6_913]) ).
cnf(refute_6_915,plain,
( e10 != e10
| op1(e10,e10) != e10
| e10 = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e10,e10)) ),[1],$fot(e10)]]) ).
cnf(refute_6_916,plain,
( e10 != e10
| e10 = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_6_905,refute_6_915]) ).
cnf(refute_6_917,plain,
( e10 != e10
| op1(e10,op1(e10,e10)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(e10,op1(e10,e10)) )],[refute_6_916,refute_6_914]) ).
cnf(refute_6_918,plain,
( e10 != e10
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e10,e10)),op1(e10,e10)) )],[refute_6_917,refute_6_893]) ).
cnf(refute_6_919,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_6_98,refute_6_918]) ).
cnf(refute_6_920,plain,
( ~ definitionFOFtoCNF_0
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_919,refute_6_892]) ).
cnf(refute_6_921,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_6_142]) ).
cnf(refute_6_922,plain,
( op2(e20,e22) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_6_923,plain,
( op2(e20,e22) != h3(e11)
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_6_374,refute_6_922]) ).
cnf(refute_6_924,plain,
op2(e20,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_6_923,refute_6_921]) ).
cnf(refute_6_925,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_6_143]) ).
cnf(refute_6_926,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_6_927,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) != op2(e20,h4(e12))
| op2(e20,h4(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_6_928,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_6_926,refute_6_927]) ).
cnf(refute_6_929,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_6_25,refute_6_928]) ).
cnf(refute_6_930,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_6_931,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_932,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_6_930,refute_6_931]) ).
cnf(refute_6_933,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_167,refute_6_932]) ).
cnf(refute_6_934,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_6_935,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_6_933,refute_6_934]) ).
cnf(refute_6_936,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_6_929,refute_6_935]) ).
cnf(refute_6_937,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_6_938,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_6_936,refute_6_937]) ).
cnf(refute_6_939,plain,
h4(op1(e10,e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_6_925,refute_6_938]) ).
cnf(refute_6_940,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(canonicalize,[],[normalize_6_144]) ).
cnf(refute_6_941,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_6_145]) ).
cnf(refute_6_942,plain,
( op1(e10,e13) != e11
| op1(e13,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_943,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_53,refute_6_942]) ).
cnf(refute_6_944,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_6_943,refute_6_941]) ).
cnf(refute_6_945,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_6_940,refute_6_944]) ).
cnf(refute_6_946,plain,
( op1(e10,e11) = e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_6_945,refute_6_248]) ).
cnf(refute_6_947,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e11
| h4(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e11)]]) ).
cnf(refute_6_948,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e11) = op2(e20,e22)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_946,refute_6_947]) ).
cnf(refute_6_949,plain,
( h4(e11) = op2(e20,e22)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_6_939,refute_6_948]) ).
cnf(refute_6_950,plain,
( h4(e11) != e21
| h4(e11) != op2(e20,e22)
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e20,e22)) ),[0],$fot(e21)]]) ).
cnf(refute_6_951,plain,
( h4(e11) != op2(e20,e22)
| e21 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_36,refute_6_950]) ).
cnf(refute_6_952,plain,
( e21 = op2(e20,e22)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e22)) )],[refute_6_949,refute_6_951]) ).
cnf(refute_6_953,plain,
( e21 != op2(e20,e22)
| op2(e20,e22) = e21 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_6_954,plain,
( op1(e10,e11) = e11
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_6_952,refute_6_953]) ).
cnf(refute_6_955,plain,
( e21 != h3(e11)
| op2(e20,e22) != e21
| op2(e20,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(h3(e11))]]) ).
cnf(refute_6_956,plain,
( e21 != h3(e11)
| op1(e10,e11) = e11
| op2(e20,e22) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_6_954,refute_6_955]) ).
cnf(refute_6_957,plain,
( e21 != h3(e11)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e11)) )],[refute_6_956,refute_6_924]) ).
cnf(refute_6_958,plain,
( e21 != e21
| h3(e11) != e21
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_6_959,plain,
( e21 != e21
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_6_858,refute_6_958]) ).
cnf(refute_6_960,plain,
( e21 != e21
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_6_959,refute_6_957]) ).
cnf(refute_6_961,plain,
op1(e10,e11) = e11,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_668,refute_6_960]) ).
cnf(refute_6_962,plain,
( op1(e10,e11) != e11
| op1(e10,e11) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[0],$fot(e11)]]) ).
cnf(refute_6_963,plain,
( op1(e10,e11) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_6_961,refute_6_962]) ).
cnf(refute_6_964,plain,
( ~ definitionFOFtoCNF_0
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_6_920,refute_6_963]) ).
cnf(refute_6_965,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_6_146]) ).
cnf(refute_6_966,plain,
( e12 != op1(e13,e13)
| op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(op1(e13,e13))]]) ).
cnf(refute_6_967,plain,
( e12 != op1(e13,e13)
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_6_240,refute_6_966]) ).
cnf(refute_6_968,plain,
( e12 != e11
| op1(e13,e13) != e11
| e12 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_969,plain,
( e12 != e11
| e12 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_53,refute_6_968]) ).
cnf(refute_6_970,plain,
( e12 != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_6_969,refute_6_967]) ).
cnf(refute_6_971,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_6_970,refute_6_965]) ).
cnf(refute_6_972,plain,
( e11 != e12
| e12 = e11 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e11)),bind(Y,$fot(e12))]]) ).
cnf(refute_6_973,plain,
e11 != e12,
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_6_972,refute_6_971]) ).
cnf(refute_6_974,plain,
~ definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_6_964,refute_6_973]) ).
cnf(refute_6_975,plain,
( ~ definitionFOFtoCNF_5
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_6_877,refute_6_974]) ).
cnf(refute_6_976,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_6_686,refute_6_975]) ).
cnf(refute_6_977,plain,
( definitionFOFtoCNF_2
| definitionFOFtoCNF_3 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_6_976,refute_6_974]) ).
cnf(refute_6_978,plain,
( op2(e20,op2(e21,e20)) != op2(e21,e20)
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_6_148]) ).
cnf(refute_6_979,plain,
op2(e20,op2(e21,e20)) = op2(e20,op2(e21,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e20)))]]) ).
cnf(refute_6_980,plain,
( op2(e20,op2(e21,e20)) != op2(e20,op2(e21,e20))
| op2(e21,e20) != e21
| op2(e20,op2(e21,e20)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,op2(e21,e20))) ),[1,1],$fot(e21)]]) ).
cnf(refute_6_981,plain,
( op2(e21,e20) != e21
| op2(e20,op2(e21,e20)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,op2(e21,e20))) )],[refute_6_979,refute_6_980]) ).
cnf(refute_6_982,plain,
op2(e20,op2(e21,e20)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_6_193,refute_6_981]) ).
cnf(refute_6_983,plain,
( op2(e20,e21) != op2(e21,e20)
| op2(e20,op2(e21,e20)) != op2(e20,e21)
| op2(e20,op2(e21,e20)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,e21)) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_6_984,plain,
( op2(e20,e21) != op2(e21,e20)
| op2(e20,op2(e21,e20)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,e21)) )],[refute_6_982,refute_6_983]) ).
cnf(refute_6_985,plain,
( op2(e20,e21) != e21
| op2(e21,e20) != e21
| op2(e20,e21) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e20)) ),[1],$fot(e21)]]) ).
cnf(refute_6_986,plain,
( op2(e20,e21) != e21
| op2(e20,e21) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_6_193,refute_6_985]) ).
cnf(refute_6_987,plain,
( op2(e20,e21) != e21
| op2(e20,op2(e21,e20)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e20)) )],[refute_6_986,refute_6_984]) ).
cnf(refute_6_988,plain,
( op2(e20,e21) != e21
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e21,e20)) )],[refute_6_987,refute_6_978]) ).
cnf(refute_6_989,plain,
( e21 != e21
| op2(e20,e21) != e21
| op2(e20,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0,1],$fot(e21)]]) ).
cnf(refute_6_990,plain,
( e21 != e21
| op1(e10,e11) = e12
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_743,refute_6_989]) ).
cnf(refute_6_991,plain,
( e21 != e21
| ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_6_990,refute_6_988]) ).
cnf(refute_6_992,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_6_668,refute_6_991]) ).
cnf(refute_6_993,plain,
( op2(e20,op2(e20,e20)) != op2(e20,e20)
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_6_150]) ).
cnf(refute_6_994,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_6_995,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_6_996,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_6_994,refute_6_995]) ).
cnf(refute_6_997,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_119,refute_6_996]) ).
cnf(refute_6_998,plain,
( op2(e20,h1(e11)) != op2(e20,e20)
| op2(e20,op2(e20,e20)) != op2(e20,h1(e11))
| op2(e20,op2(e20,e20)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e11))) ),[1],$fot(op2(e20,e20))]]) ).
cnf(refute_6_999,plain,
( op2(e20,h1(e11)) != op2(e20,e20)
| op2(e20,op2(e20,e20)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e11))) )],[refute_6_997,refute_6_998]) ).
cnf(refute_6_1000,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,h1(e11)) != h1(e11)
| op2(e20,h1(e11)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h1(e11)),op2(e20,e20)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_6_1001,plain,
( op2(e20,h1(e11)) != h1(e11)
| op2(e20,h1(e11)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_6_119,refute_6_1000]) ).
cnf(refute_6_1002,plain,
( op2(e20,h1(e11)) != h1(e11)
| op2(e20,op2(e20,e20)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,e20)) )],[refute_6_1001,refute_6_999]) ).
cnf(refute_6_1003,plain,
( op2(e20,h1(e11)) != h1(e11)
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,e20)) )],[refute_6_1002,refute_6_993]) ).
cnf(refute_6_1004,plain,
( op2(e20,e20) != e20
| op2(e20,h1(e11)) != op2(e20,e20)
| op2(e20,h1(e11)) = e20 ),
inference(subst,[],[refute_6_19:[bind(X,$fot(op2(e20,h1(e11)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e20))]]) ).
cnf(refute_6_1005,plain,
( op2(e20,e20) != e20
| op2(e20,h1(e11)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,e20)) )],[refute_6_603,refute_6_1004]) ).
cnf(refute_6_1006,plain,
op2(e20,h1(e11)) = e20,
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_6_599,refute_6_1005]) ).
cnf(refute_6_1007,plain,
( e20 != h1(e11)
| op2(e20,h1(e11)) != e20
| op2(e20,h1(e11)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e11)),e20) ),[1],$fot(h1(e11))]]) ).
cnf(refute_6_1008,plain,
( e20 != h1(e11)
| op2(e20,h1(e11)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),e20) )],[refute_6_1006,refute_6_1007]) ).
cnf(refute_6_1009,plain,
( e20 != e20
| h1(e11) != e20
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h1(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_6_1010,plain,
( e20 != e20
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_6_596,refute_6_1009]) ).
cnf(refute_6_1011,plain,
( e20 != e20
| op2(e20,h1(e11)) = h1(e11) ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_6_1010,refute_6_1008]) ).
cnf(refute_6_1012,plain,
( e20 != e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),h1(e11)) )],[refute_6_1011,refute_6_1003]) ).
cnf(refute_6_1013,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_6_265,refute_6_1012]) ).
cnf(refute_6_1014,plain,
( ~ definitionFOFtoCNF_3
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_6_1013,refute_6_992]) ).
cnf(refute_6_1015,plain,
( ~ definitionFOFtoCNF_3
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_6_1014,refute_6_963]) ).
cnf(refute_6_1016,plain,
~ definitionFOFtoCNF_3,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_6_1015,refute_6_973]) ).
cnf(refute_6_1017,plain,
definitionFOFtoCNF_2,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_6_977,refute_6_1016]) ).
cnf(refute_6_1018,plain,
op1(e10,e13) != e13,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_6_1017,refute_6_630]) ).
cnf(refute_6_1019,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_6_151]) ).
cnf(refute_6_1020,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_6_1019,refute_6_944]) ).
cnf(refute_6_1021,plain,
( e13 != e13
| op1(e10,e13) != e13
| op1(e10,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_6_1022,plain,
( e13 != e13
| op1(e10,e13) = e10
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_6_1020,refute_6_1021]) ).
cnf(refute_6_1023,plain,
( e13 != e13
| op1(e10,e13) = e10
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_6_1022,refute_6_1018]) ).
cnf(refute_6_1024,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_109,refute_6_1023]) ).
cnf(refute_6_1025,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_6_152]) ).
cnf(refute_6_1026,plain,
( op1(e10,e13) != e10
| op1(e12,e13) != e10
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_6_1027,plain,
( op1(e10,e13) != e10
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_6_848,refute_6_1026]) ).
cnf(refute_6_1028,plain,
op1(e10,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_6_1027,refute_6_1025]) ).
cnf(refute_6_1029,plain,
op1(e10,e13) = e12,
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_6_1024,refute_6_1028]) ).
cnf(refute_6_1030,plain,
( e12 != e12
| op1(e10,e13) != e12
| op1(e10,e13) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[1],$fot(e12)]]) ).
cnf(refute_6_1031,plain,
( e12 != e12
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_1029,refute_6_1030]) ).
cnf(refute_6_1032,plain,
( e12 != e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_1031,refute_6_113]) ).
cnf(refute_6_1033,plain,
op1(e11,e12) = e12,
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_6_576,refute_6_1032]) ).
cnf(refute_6_1034,plain,
h4(op1(e11,e12)) = h4(op1(e11,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_6_1035,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_6_1036,plain,
( op1(e11,e12) != e12
| h4(op1(e11,e12)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) )],[refute_6_1034,refute_6_1035]) ).
cnf(refute_6_1037,plain,
h4(op1(e11,e12)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_6_1033,refute_6_1036]) ).
cnf(refute_6_1038,plain,
( h4(e12) != e22
| h4(op1(e11,e12)) != h4(e12)
| h4(op1(e11,e12)) = e22 ),
inference(subst,[],[refute_6_19:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_6_1039,plain,
( h4(e12) != e22
| h4(op1(e11,e12)) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e12)) )],[refute_6_1037,refute_6_1038]) ).
cnf(refute_6_1040,plain,
h4(op1(e11,e12)) = e22,
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_6_25,refute_6_1039]) ).
cnf(refute_6_1041,plain,
( e22 != op2(e21,e22)
| h4(op1(e11,e12)) != e22
| h4(op1(e11,e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),e22) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_6_1042,plain,
( e22 != op2(e21,e22)
| h4(op1(e11,e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e22) )],[refute_6_1040,refute_6_1041]) ).
cnf(refute_6_1043,plain,
op2(e20,e23) != op2(e21,e23),
inference(canonicalize,[],[normalize_6_153]) ).
cnf(refute_6_1044,plain,
( op2(e20,e23) != e22
| op2(e21,e23) != e22
| op2(e20,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e21,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_6_1045,plain,
( op2(e20,e23) != e22
| op2(e20,e23) = op2(e21,e23)
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_6_426,refute_6_1044]) ).
cnf(refute_6_1046,plain,
( op2(e20,e23) != e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e21,e23)) )],[refute_6_1045,refute_6_1043]) ).
cnf(refute_6_1047,plain,
h4(op1(e10,e13)) = h4(op1(e10,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_6_1048,plain,
( h4(op1(e10,e13)) != h4(op1(e10,e13))
| op1(e10,e13) != e12
| h4(op1(e10,e13)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_6_1049,plain,
( op1(e10,e13) != e12
| h4(op1(e10,e13)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) )],[refute_6_1047,refute_6_1048]) ).
cnf(refute_6_1050,plain,
h4(op1(e10,e13)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_1029,refute_6_1049]) ).
cnf(refute_6_1051,plain,
( h4(e12) != e22
| h4(op1(e10,e13)) != h4(e12)
| h4(op1(e10,e13)) = e22 ),
inference(subst,[],[refute_6_19:[bind(X,$fot(h4(op1(e10,e13)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_6_1052,plain,
( h4(e12) != e22
| h4(op1(e10,e13)) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(e12)) )],[refute_6_1050,refute_6_1051]) ).
cnf(refute_6_1053,plain,
h4(op1(e10,e13)) = e22,
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_6_25,refute_6_1052]) ).
cnf(refute_6_1054,plain,
( h4(op1(e10,e13)) != e22
| h4(op1(e10,e13)) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0],$fot(e22)]]) ).
cnf(refute_6_1055,plain,
( h4(op1(e10,e13)) != op2(e20,e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e22) )],[refute_6_1053,refute_6_1054]) ).
cnf(refute_6_1056,plain,
e22 = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) )],[refute_6_225,refute_6_1055]) ).
cnf(refute_6_1057,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_6_1058,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_6_1056,refute_6_1057]) ).
cnf(refute_6_1059,plain,
( e22 != e22
| op2(e20,e23) != e22
| op2(e20,e23) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[1],$fot(e22)]]) ).
cnf(refute_6_1060,plain,
( e22 != e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_1058,refute_6_1059]) ).
cnf(refute_6_1061,plain,
( e22 != e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_1060,refute_6_1046]) ).
cnf(refute_6_1062,plain,
op2(e21,e22) = e22,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_435,refute_6_1061]) ).
cnf(refute_6_1063,plain,
( e22 != e22
| op2(e21,e22) != e22
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_6_1064,plain,
( e22 != e22
| e22 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_6_1062,refute_6_1063]) ).
cnf(refute_6_1065,plain,
( e22 != e22
| h4(op1(e11,e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_6_1064,refute_6_1042]) ).
cnf(refute_6_1066,plain,
e22 != e22,
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_6_1065,refute_6_46]) ).
cnf(refute_6_1067,plain,
$false,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_435,refute_6_1066]) ).
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,
( 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_1,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_7_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_7_1]) ).
fof(normalize_7_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_7_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_7_3]) ).
fof(normalize_7_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_7_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_7_5]) ).
fof(normalize_7_7,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_0,normalize_7_2,normalize_7_4,normalize_7_6]) ).
fof(normalize_7_8,plain,
h4(op1(e11,e13)) != op2(h4(e11),h4(e13)),
inference(conjunct,[],[normalize_7_7]) ).
fof(normalize_7_9,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_7_10,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_7_9]) ).
fof(normalize_7_11,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_7_9]) ).
fof(normalize_7_12,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_7_13,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_14,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_15,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_16,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_7_3]) ).
fof(normalize_7_17,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_18,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_7_17]) ).
fof(normalize_7_19,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_20,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_21,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_7_22,plain,
e20 != e22,
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_23,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_7_7]) ).
fof(normalize_7_24,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_7_9]) ).
fof(normalize_7_25,plain,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_7_26,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_7_25]) ).
fof(normalize_7_27,plain,
( ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_7_28,plain,
( op1(e11,e11) != e13
| op1(e11,e13) = e11 ),
inference(conjunct,[],[normalize_7_27]) ).
fof(normalize_7_29,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_7_30,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_7_29]) ).
fof(normalize_7_31,plain,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_7_32,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_33,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(conjunct,[],[normalize_7_27]) ).
fof(normalize_7_34,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_35,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_7_36,plain,
e11 != e13,
inference(conjunct,[],[normalize_7_35]) ).
fof(normalize_7_37,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_38,plain,
( ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_7_39,plain,
( op2(e21,e21) != e23
| op2(e21,e23) = e21 ),
inference(conjunct,[],[normalize_7_38]) ).
fof(normalize_7_40,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_7_17]) ).
fof(normalize_7_41,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_7_38]) ).
fof(normalize_7_42,plain,
e21 != e23,
inference(conjunct,[],[normalize_7_21]) ).
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(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_7_43]) ).
fof(normalize_7_45,plain,
op1(e11,e11) != op1(e11,e12),
inference(conjunct,[],[normalize_7_29]) ).
fof(normalize_7_46,plain,
op1(e11,e10) != op1(e11,e12),
inference(conjunct,[],[normalize_7_29]) ).
fof(normalize_7_47,plain,
e22 != e23,
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_48,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_7_43]) ).
fof(normalize_7_49,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_7_29]) ).
fof(normalize_7_50,plain,
op1(e11,e12) != op1(e11,e13),
inference(conjunct,[],[normalize_7_29]) ).
cnf(refute_7_0,plain,
h4(op1(e11,e13)) != op2(h4(e11),h4(e13)),
inference(canonicalize,[],[normalize_7_8]) ).
cnf(refute_7_1,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_7_10]) ).
cnf(refute_7_2,plain,
op2(e21,h4(e13)) = op2(e21,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_7_3,plain,
( h4(e13) != e23
| op2(e21,h4(e13)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_4,plain,
( h4(e13) != e23
| op2(e21,h4(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_7_2,refute_7_3]) ).
cnf(refute_7_5,plain,
op2(e21,h4(e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_1,refute_7_4]) ).
cnf(refute_7_6,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_7_11]) ).
cnf(refute_7_7,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_7_13]) ).
cnf(refute_7_8,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_7_9,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_7_10,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_7_8,refute_7_9]) ).
cnf(refute_7_11,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_7_12,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_7_7,refute_7_11]) ).
cnf(refute_7_13,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_7_14,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_12,refute_7_13]) ).
cnf(refute_7_15,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_7_6,refute_7_14]) ).
cnf(refute_7_16,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_7_17,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_18,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) )],[refute_7_16,refute_7_17]) ).
cnf(refute_7_19,plain,
op2(h4(e11),h4(e13)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_7_15,refute_7_18]) ).
cnf(refute_7_20,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_7_21,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_7_10,refute_7_20]) ).
cnf(refute_7_22,plain,
( op2(e21,h4(e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) != op2(e21,h4(e13))
| op2(h4(e11),h4(e13)) = op2(e21,e23) ),
inference(subst,[],[refute_7_21:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(e21,h4(e13)))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_7_23,plain,
( op2(e21,h4(e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,h4(e13))) )],[refute_7_19,refute_7_22]) ).
cnf(refute_7_24,plain,
op2(h4(e11),h4(e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e23)) )],[refute_7_5,refute_7_23]) ).
cnf(refute_7_25,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) != op2(e21,e23)
| h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_7_26,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,e23)) )],[refute_7_24,refute_7_25]) ).
cnf(refute_7_27,plain,
h4(op1(e11,e13)) != op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_7_26,refute_7_0]) ).
cnf(refute_7_28,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(canonicalize,[],[normalize_7_15]) ).
cnf(refute_7_29,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_7_16]) ).
cnf(refute_7_30,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_7_10:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_7_31,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_7_29,refute_7_30]) ).
cnf(refute_7_32,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_7_33,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_31,refute_7_32]) ).
cnf(refute_7_34,plain,
( h2(e11) = e22
| op2(e21,e20) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_7_28,refute_7_33]) ).
cnf(refute_7_35,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_7_18]) ).
cnf(refute_7_36,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_7_19]) ).
cnf(refute_7_37,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_7_20]) ).
cnf(refute_7_38,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = e20 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_7_39,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_7_37,refute_7_38]) ).
cnf(refute_7_40,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
introduced(tautology,[refl,[$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_7_41,plain,
( op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) ),[1,1],$fot(e20)]]) ).
cnf(refute_7_42,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_7_40,refute_7_41]) ).
cnf(refute_7_43,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_7_39,refute_7_42]) ).
cnf(refute_7_44,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e20)) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_7_45,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_7_43,refute_7_44]) ).
cnf(refute_7_46,plain,
e22 = op2(e23,e20),
inference(resolve,[$cnf( $equal(e22,op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_7_36,refute_7_45]) ).
cnf(refute_7_47,plain,
( e22 != op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_7_48,plain,
op2(e23,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_7_46,refute_7_47]) ).
cnf(refute_7_49,plain,
( op2(e21,e20) != e22
| op2(e23,e20) != e22
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_7_50,plain,
( op2(e21,e20) != e22
| op2(e21,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_7_48,refute_7_49]) ).
cnf(refute_7_51,plain,
op2(e21,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_7_50,refute_7_35]) ).
cnf(refute_7_52,plain,
( h2(e11) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_7_34,refute_7_51]) ).
cnf(refute_7_53,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_7_54,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_55,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_7_53,refute_7_54]) ).
cnf(refute_7_56,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_12,refute_7_55]) ).
cnf(refute_7_57,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_7_58,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_59,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_7_57,refute_7_58]) ).
cnf(refute_7_60,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_12,refute_7_59]) ).
cnf(refute_7_61,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_7_21:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_7_62,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_7_60,refute_7_61]) ).
cnf(refute_7_63,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_7_56,refute_7_62]) ).
cnf(refute_7_64,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_7_21:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_7_65,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_7_63,refute_7_64]) ).
cnf(refute_7_66,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_31,refute_7_65]) ).
cnf(refute_7_67,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| e20 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e11)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_7_68,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_7_66,refute_7_67]) ).
cnf(refute_7_69,plain,
e20 = h2(e11),
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_7_37,refute_7_68]) ).
cnf(refute_7_70,plain,
( e20 != h2(e11)
| h2(e11) = e20 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e20)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_7_71,plain,
h2(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h2(e11)) )],[refute_7_69,refute_7_70]) ).
cnf(refute_7_72,plain,
( h2(e11) != e20
| h2(e11) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[0],$fot(e20)]]) ).
cnf(refute_7_73,plain,
( h2(e11) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_7_71,refute_7_72]) ).
cnf(refute_7_74,plain,
( e20 = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_7_52,refute_7_73]) ).
cnf(refute_7_75,plain,
e20 != e22,
inference(canonicalize,[],[normalize_7_22]) ).
cnf(refute_7_76,plain,
( op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_7_74,refute_7_75]) ).
cnf(refute_7_77,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_7_23]) ).
cnf(refute_7_78,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_7_24]) ).
cnf(refute_7_79,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(subst,[],[refute_7_21:[bind(X,$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(e22))]]) ).
cnf(refute_7_80,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_7_43,refute_7_79]) ).
cnf(refute_7_81,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22,
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_7_48,refute_7_80]) ).
cnf(refute_7_82,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_7_83,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),e22) )],[refute_7_81,refute_7_82]) ).
cnf(refute_7_84,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_7_78,refute_7_83]) ).
cnf(refute_7_85,plain,
op2(e21,h4(e12)) = op2(e21,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).
cnf(refute_7_86,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) != op2(e21,h4(e12))
| op2(e21,h4(e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_7_87,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) )],[refute_7_85,refute_7_86]) ).
cnf(refute_7_88,plain,
op2(e21,h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_7_84,refute_7_87]) ).
cnf(refute_7_89,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_7_90,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_91,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_7_89,refute_7_90]) ).
cnf(refute_7_92,plain,
op2(h4(e11),h4(e12)) = op2(e21,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_7_15,refute_7_91]) ).
cnf(refute_7_93,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) != op2(e21,h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(subst,[],[refute_7_21:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).
cnf(refute_7_94,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,h4(e12))) )],[refute_7_92,refute_7_93]) ).
cnf(refute_7_95,plain,
op2(h4(e11),h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e22)) )],[refute_7_88,refute_7_94]) ).
cnf(refute_7_96,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(e21,e22)
| h4(op1(e11,e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_7_97,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,e22)) )],[refute_7_95,refute_7_96]) ).
cnf(refute_7_98,plain,
h4(op1(e11,e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_7_77,refute_7_97]) ).
cnf(refute_7_99,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_7_26]) ).
cnf(refute_7_100,plain,
( op1(e11,e11) != e13
| op1(e11,e13) = e11 ),
inference(canonicalize,[],[normalize_7_28]) ).
cnf(refute_7_101,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_7_30]) ).
cnf(refute_7_102,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_7_32]) ).
cnf(refute_7_103,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_7_104,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_7_102,refute_7_103]) ).
cnf(refute_7_105,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_7_106,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_7_104,refute_7_105]) ).
cnf(refute_7_107,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_7_106,refute_7_101]) ).
cnf(refute_7_108,plain,
op1(e11,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_7_100,refute_7_107]) ).
cnf(refute_7_109,plain,
( op1(e11,e10) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_7_99,refute_7_108]) ).
cnf(refute_7_110,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(canonicalize,[],[normalize_7_33]) ).
cnf(refute_7_111,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(canonicalize,[],[normalize_7_34]) ).
cnf(refute_7_112,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_7_113,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_7_114,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_7_112,refute_7_113]) ).
cnf(refute_7_115,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_7_104,refute_7_114]) ).
cnf(refute_7_116,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_7_117,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_7_118,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_7_116,refute_7_117]) ).
cnf(refute_7_119,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_7_104,refute_7_118]) ).
cnf(refute_7_120,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_7_21:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_7_121,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_7_119,refute_7_120]) ).
cnf(refute_7_122,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_7_115,refute_7_121]) ).
cnf(refute_7_123,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_7_124,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| e10 = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_7_122,refute_7_123]) ).
cnf(refute_7_125,plain,
e10 = op1(e11,e11),
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_7_111,refute_7_124]) ).
cnf(refute_7_126,plain,
( e10 != op1(e11,e11)
| op1(e11,e11) = e10 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e11)))]]) ).
cnf(refute_7_127,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_7_125,refute_7_126]) ).
cnf(refute_7_128,plain,
( e10 != e10
| op1(e11,e11) != e10
| op1(e11,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(e10)]]) ).
cnf(refute_7_129,plain,
( e10 != e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_7_127,refute_7_128]) ).
cnf(refute_7_130,plain,
( e10 != e10
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_7_129,refute_7_110]) ).
cnf(refute_7_131,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_7_132,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_7_131,refute_7_130]) ).
cnf(refute_7_133,plain,
( op1(e11,e10) != e11
| op1(e11,e10) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e13) ),[0],$fot(e11)]]) ).
cnf(refute_7_134,plain,
( op1(e11,e10) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_7_132,refute_7_133]) ).
cnf(refute_7_135,plain,
( e11 = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_7_109,refute_7_134]) ).
cnf(refute_7_136,plain,
e11 != e13,
inference(canonicalize,[],[normalize_7_36]) ).
cnf(refute_7_137,plain,
( op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_7_135,refute_7_136]) ).
cnf(refute_7_138,plain,
( h4(e13) != op2(e21,e23)
| op1(e11,e13) != e13
| h4(op1(e11,e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0,0],$fot(e13)]]) ).
cnf(refute_7_139,plain,
( h4(e13) != op2(e21,e23)
| h4(op1(e11,e13)) = op2(e21,e23)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_7_137,refute_7_138]) ).
cnf(refute_7_140,plain,
( h4(e13) != op2(e21,e23)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_7_139,refute_7_27]) ).
cnf(refute_7_141,plain,
( e23 != op2(e21,e23)
| h4(e13) != e23
| h4(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_7_142,plain,
( e23 != op2(e21,e23)
| h4(e13) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_1,refute_7_141]) ).
cnf(refute_7_143,plain,
( e23 != op2(e21,e23)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,e23)) )],[refute_7_142,refute_7_140]) ).
cnf(refute_7_144,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_7_37]) ).
cnf(refute_7_145,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_7_146,plain,
( op2(e21,e21) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_31,refute_7_145]) ).
cnf(refute_7_147,plain,
( h2(e11) = e23
| op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_7_144,refute_7_146]) ).
cnf(refute_7_148,plain,
( op2(e21,e21) != e23
| op2(e21,e23) = e21 ),
inference(canonicalize,[],[normalize_7_39]) ).
cnf(refute_7_149,plain,
( h2(e11) != e23
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_7_150,plain,
( h2(e11) != e23
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_31,refute_7_149]) ).
cnf(refute_7_151,plain,
( h2(e11) != e23
| op2(e21,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_7_150,refute_7_148]) ).
cnf(refute_7_152,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_7_40]) ).
cnf(refute_7_153,plain,
( op2(e21,e23) != e21
| op2(e23,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_7_154,plain,
( op2(e21,e23) != e21
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_12,refute_7_153]) ).
cnf(refute_7_155,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_7_154,refute_7_152]) ).
cnf(refute_7_156,plain,
h2(e11) != e23,
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_7_151,refute_7_155]) ).
cnf(refute_7_157,plain,
( op2(e21,e20) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_7_147,refute_7_156]) ).
cnf(refute_7_158,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_7_41]) ).
cnf(refute_7_159,plain,
( h2(e11) != e20
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_7_160,plain,
( h2(e11) != e20
| op2(e21,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_7_31,refute_7_159]) ).
cnf(refute_7_161,plain,
( h2(e11) != e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_7_160,refute_7_158]) ).
cnf(refute_7_162,plain,
( e20 != e20
| h2(e11) != e20
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(e20)]]) ).
cnf(refute_7_163,plain,
( e20 != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_7_71,refute_7_162]) ).
cnf(refute_7_164,plain,
( e20 != e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_7_163,refute_7_161]) ).
cnf(refute_7_165,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_7_166,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_7_165,refute_7_164]) ).
cnf(refute_7_167,plain,
( op2(e21,e20) != e21
| op2(e21,e20) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[0],$fot(e21)]]) ).
cnf(refute_7_168,plain,
( op2(e21,e20) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_7_166,refute_7_167]) ).
cnf(refute_7_169,plain,
( e21 = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_7_157,refute_7_168]) ).
cnf(refute_7_170,plain,
e21 != e23,
inference(canonicalize,[],[normalize_7_42]) ).
cnf(refute_7_171,plain,
( op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_7_169,refute_7_170]) ).
cnf(refute_7_172,plain,
( e23 != e23
| op2(e21,e23) != e23
| e23 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_7_173,plain,
( e23 != e23
| e23 = op2(e21,e23)
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_7_171,refute_7_172]) ).
cnf(refute_7_174,plain,
( e23 != e23
| op1(e11,e12) = e13
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e23)) )],[refute_7_173,refute_7_143]) ).
cnf(refute_7_175,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_7_176,plain,
( op1(e11,e12) = e13
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_175,refute_7_174]) ).
cnf(refute_7_177,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_7_44]) ).
cnf(refute_7_178,plain,
op1(e11,e11) != op1(e11,e12),
inference(canonicalize,[],[normalize_7_45]) ).
cnf(refute_7_179,plain,
( e10 != op1(e11,e12)
| op1(e11,e11) != e10
| op1(e11,e11) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_7_180,plain,
( e10 != op1(e11,e12)
| op1(e11,e11) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_7_127,refute_7_179]) ).
cnf(refute_7_181,plain,
e10 != op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e12)) )],[refute_7_180,refute_7_178]) ).
cnf(refute_7_182,plain,
( op1(e11,e12) != e10
| e10 = op1(e11,e12) ),
inference(subst,[],[refute_7_10:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(e10))]]) ).
cnf(refute_7_183,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_7_182,refute_7_181]) ).
cnf(refute_7_184,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_7_177,refute_7_183]) ).
cnf(refute_7_185,plain,
op1(e11,e10) != op1(e11,e12),
inference(canonicalize,[],[normalize_7_46]) ).
cnf(refute_7_186,plain,
( e11 != op1(e11,e12)
| op1(e11,e10) != e11
| op1(e11,e10) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_7_187,plain,
( e11 != op1(e11,e12)
| op1(e11,e10) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_7_132,refute_7_186]) ).
cnf(refute_7_188,plain,
e11 != op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_7_187,refute_7_185]) ).
cnf(refute_7_189,plain,
( op1(e11,e12) != e11
| e11 = op1(e11,e12) ),
inference(subst,[],[refute_7_10:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(e11))]]) ).
cnf(refute_7_190,plain,
op1(e11,e12) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_7_189,refute_7_188]) ).
cnf(refute_7_191,plain,
( op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_7_184,refute_7_190]) ).
cnf(refute_7_192,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| op1(e11,e12) != e12
| h4(e12) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0,0],$fot(e12)]]) ).
cnf(refute_7_193,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| h4(e12) = op2(e21,e22)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_7_191,refute_7_192]) ).
cnf(refute_7_194,plain,
( h4(e12) = op2(e21,e22)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_7_98,refute_7_193]) ).
cnf(refute_7_195,plain,
( h4(e12) != e22
| h4(e12) != op2(e21,e22)
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(e21,e22)) ),[0],$fot(e22)]]) ).
cnf(refute_7_196,plain,
( h4(e12) != op2(e21,e22)
| e22 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_7_84,refute_7_195]) ).
cnf(refute_7_197,plain,
( e22 = op2(e21,e22)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e21,e22)) )],[refute_7_194,refute_7_196]) ).
cnf(refute_7_198,plain,
( e22 != op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_7_199,plain,
( op1(e11,e12) = e13
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_7_197,refute_7_198]) ).
cnf(refute_7_200,plain,
( op2(e21,e22) != e22
| op2(e21,e22) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e23) ),[0],$fot(e22)]]) ).
cnf(refute_7_201,plain,
( op2(e21,e22) != e23
| e22 = e23
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_7_199,refute_7_200]) ).
cnf(refute_7_202,plain,
( e22 = e23
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_7_176,refute_7_201]) ).
cnf(refute_7_203,plain,
e22 != e23,
inference(canonicalize,[],[normalize_7_47]) ).
cnf(refute_7_204,plain,
op1(e11,e12) = e13,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_7_202,refute_7_203]) ).
cnf(refute_7_205,plain,
h4(op1(e11,e12)) = h4(op1(e11,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_7_206,plain,
( h4(op1(e11,e12)) != h4(op1(e11,e12))
| op1(e11,e12) != e13
| h4(op1(e11,e12)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_7_207,plain,
( op1(e11,e12) != e13
| h4(op1(e11,e12)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) )],[refute_7_205,refute_7_206]) ).
cnf(refute_7_208,plain,
h4(op1(e11,e12)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_7_204,refute_7_207]) ).
cnf(refute_7_209,plain,
( h4(e13) != e23
| h4(op1(e11,e12)) != h4(e13)
| h4(op1(e11,e12)) = e23 ),
inference(subst,[],[refute_7_21:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_7_210,plain,
( h4(e13) != e23
| h4(op1(e11,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e13)) )],[refute_7_208,refute_7_209]) ).
cnf(refute_7_211,plain,
h4(op1(e11,e12)) = e23,
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_1,refute_7_210]) ).
cnf(refute_7_212,plain,
( h4(op1(e11,e12)) != e23
| h4(op1(e11,e12)) != op2(e21,e22)
| e23 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0],$fot(e23)]]) ).
cnf(refute_7_213,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| e23 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e23) )],[refute_7_211,refute_7_212]) ).
cnf(refute_7_214,plain,
e23 = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_7_98,refute_7_213]) ).
cnf(refute_7_215,plain,
( e23 != op2(e21,e22)
| op2(e21,e22) = e23 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e23)),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_7_216,plain,
op2(e21,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e21,e22)) )],[refute_7_214,refute_7_215]) ).
cnf(refute_7_217,plain,
( op2(e21,e22) != e22
| op2(e21,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_7_218,plain,
( op2(e21,e22) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_7_216,refute_7_217]) ).
cnf(refute_7_219,plain,
( e23 = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_7_76,refute_7_218]) ).
cnf(refute_7_220,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_7_221,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_7_220,refute_7_203]) ).
cnf(refute_7_222,plain,
op2(e21,e23) = e22,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_7_219,refute_7_221]) ).
cnf(refute_7_223,plain,
( h4(op1(e11,e13)) != e22
| op2(e21,e23) != e22
| h4(op1(e11,e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_7_224,plain,
( h4(op1(e11,e13)) != e22
| h4(op1(e11,e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_7_222,refute_7_223]) ).
cnf(refute_7_225,plain,
h4(op1(e11,e13)) != e22,
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_7_224,refute_7_27]) ).
cnf(refute_7_226,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_7_48]) ).
cnf(refute_7_227,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_7_226,refute_7_107]) ).
cnf(refute_7_228,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_7_49]) ).
cnf(refute_7_229,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) != e10
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_7_230,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_7_127,refute_7_229]) ).
cnf(refute_7_231,plain,
e10 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_7_230,refute_7_228]) ).
cnf(refute_7_232,plain,
( op1(e11,e13) != e10
| e10 = op1(e11,e13) ),
inference(subst,[],[refute_7_10:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e10))]]) ).
cnf(refute_7_233,plain,
op1(e11,e13) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e13)) )],[refute_7_232,refute_7_231]) ).
cnf(refute_7_234,plain,
( op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_7_227,refute_7_233]) ).
cnf(refute_7_235,plain,
op1(e11,e12) != op1(e11,e13),
inference(canonicalize,[],[normalize_7_50]) ).
cnf(refute_7_236,plain,
( e13 != op1(e11,e13)
| op1(e11,e12) != e13
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e13) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_7_237,plain,
( e13 != op1(e11,e13)
| op1(e11,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_7_204,refute_7_236]) ).
cnf(refute_7_238,plain,
e13 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_7_237,refute_7_235]) ).
cnf(refute_7_239,plain,
( op1(e11,e13) != e13
| e13 = op1(e11,e13) ),
inference(subst,[],[refute_7_10:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_7_240,plain,
op1(e11,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e11,e13)) )],[refute_7_239,refute_7_238]) ).
cnf(refute_7_241,plain,
op1(e11,e13) = e12,
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_7_234,refute_7_240]) ).
cnf(refute_7_242,plain,
h4(op1(e11,e13)) = h4(op1(e11,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e13)))]]) ).
cnf(refute_7_243,plain,
( h4(op1(e11,e13)) != h4(op1(e11,e13))
| op1(e11,e13) != e12
| h4(op1(e11,e13)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_7_244,plain,
( op1(e11,e13) != e12
| h4(op1(e11,e13)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) )],[refute_7_242,refute_7_243]) ).
cnf(refute_7_245,plain,
h4(op1(e11,e13)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_7_241,refute_7_244]) ).
cnf(refute_7_246,plain,
( h4(e12) != e22
| h4(op1(e11,e13)) != h4(e12)
| h4(op1(e11,e13)) = e22 ),
inference(subst,[],[refute_7_21:[bind(X,$fot(h4(op1(e11,e13)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_7_247,plain,
( h4(e12) != e22
| h4(op1(e11,e13)) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(e12)) )],[refute_7_245,refute_7_246]) ).
cnf(refute_7_248,plain,
h4(op1(e11,e13)) = e22,
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_7_84,refute_7_247]) ).
cnf(refute_7_249,plain,
( e22 != e22
| h4(op1(e11,e13)) != e22
| h4(op1(e11,e13)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),e22) ),[1],$fot(e22)]]) ).
cnf(refute_7_250,plain,
( e22 != e22
| h4(op1(e11,e13)) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),e22) )],[refute_7_248,refute_7_249]) ).
cnf(refute_7_251,plain,
e22 != e22,
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),e22) )],[refute_7_250,refute_7_225]) ).
cnf(refute_7_252,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_7_253,plain,
$false,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_7_252,refute_7_251]) ).
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,
( 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_1,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_8_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_8_1]) ).
fof(normalize_8_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_8_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_8_3]) ).
fof(normalize_8_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_8_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_8_5]) ).
fof(normalize_8_7,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_0,normalize_8_2,normalize_8_4,normalize_8_6]) ).
fof(normalize_8_8,plain,
h4(op1(e12,e10)) != op2(h4(e12),h4(e10)),
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_9,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_8_10,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_11,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_8_12,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_8_11]) ).
fof(normalize_8_13,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_14,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_8_11]) ).
fof(normalize_8_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_8_16,plain,
op2(e20,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_8_15]) ).
fof(normalize_8_17,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_8_1]) ).
fof(normalize_8_18,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_19,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(conjunct,[],[normalize_8_18]) ).
fof(normalize_8_20,plain,
op2(e22,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_8_15]) ).
fof(normalize_8_21,plain,
op2(e21,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_8_15]) ).
fof(normalize_8_22,plain,
( ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_8_23,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_24,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_8_3]) ).
fof(normalize_8_25,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_8_11]) ).
fof(normalize_8_26,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_27,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_28,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_8_27]) ).
fof(normalize_8_29,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_8_30,plain,
e22 != e23,
inference(conjunct,[],[normalize_8_29]) ).
fof(normalize_8_31,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_8_15]) ).
fof(normalize_8_32,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_33,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_34,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_8_33]) ).
fof(normalize_8_35,plain,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_8_36,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(conjunct,[],[normalize_8_35]) ).
fof(normalize_8_37,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(conjunct,[],[normalize_8_35]) ).
fof(normalize_8_38,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_8_39,plain,
e12 != e13,
inference(conjunct,[],[normalize_8_38]) ).
fof(normalize_8_40,plain,
( ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_8_41,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(conjunct,[],[normalize_8_40]) ).
fof(normalize_8_42,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_8_35]) ).
fof(normalize_8_43,plain,
e11 != e13,
inference(conjunct,[],[normalize_8_38]) ).
fof(normalize_8_44,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_45,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_46,plain,
op1(e10,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_8_45]) ).
fof(normalize_8_47,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_8_48,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(conjunct,[],[normalize_8_47]) ).
fof(normalize_8_49,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_8_45]) ).
fof(normalize_8_50,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e10 ),
inference(conjunct,[],[normalize_8_40]) ).
fof(normalize_8_51,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_8_45]) ).
fof(normalize_8_52,plain,
e20 != e23,
inference(conjunct,[],[normalize_8_29]) ).
fof(normalize_8_53,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_8_47]) ).
fof(normalize_8_54,plain,
op1(e12,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_8_45]) ).
fof(normalize_8_55,plain,
op1(e11,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_8_45]) ).
cnf(refute_8_0,plain,
h4(op1(e12,e10)) != op2(h4(e12),h4(e10)),
inference(canonicalize,[],[normalize_8_8]) ).
cnf(refute_8_1,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_8_10]) ).
cnf(refute_8_2,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_8_12]) ).
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( $equal(X,X) )],[refute_8_3,refute_8_4]) ).
cnf(refute_8_6,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = e20 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_8_7,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_8_2,refute_8_6]) ).
cnf(refute_8_8,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_8_9,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_8_7,refute_8_8]) ).
cnf(refute_8_10,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_8_1,refute_8_9]) ).
cnf(refute_8_11,plain,
op2(e22,h4(e10)) = op2(e22,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e10)))]]) ).
cnf(refute_8_12,plain,
( h4(e10) != e20
| op2(e22,h4(e10)) != op2(e22,h4(e10))
| op2(e22,h4(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_8_13,plain,
( h4(e10) != e20
| op2(e22,h4(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,h4(e10))) )],[refute_8_11,refute_8_12]) ).
cnf(refute_8_14,plain,
op2(e22,h4(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_10,refute_8_13]) ).
cnf(refute_8_15,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_8_13]) ).
cnf(refute_8_16,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_8_14]) ).
cnf(refute_8_17,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
introduced(tautology,[refl,[$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_8_18,plain,
( op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) ),[1,1],$fot(e20)]]) ).
cnf(refute_8_19,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_8_17,refute_8_18]) ).
cnf(refute_8_20,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_8_7,refute_8_19]) ).
cnf(refute_8_21,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e20)) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_8_22,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_8_20,refute_8_21]) ).
cnf(refute_8_23,plain,
e22 = op2(e23,e20),
inference(resolve,[$cnf( $equal(e22,op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_8_16,refute_8_22]) ).
cnf(refute_8_24,plain,
( e22 != op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_8_25,plain,
op2(e23,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_8_23,refute_8_24]) ).
cnf(refute_8_26,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_8_27,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_8_5,refute_8_26]) ).
cnf(refute_8_28,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(subst,[],[refute_8_27:[bind(X,$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(e22))]]) ).
cnf(refute_8_29,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_8_20,refute_8_28]) ).
cnf(refute_8_30,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22,
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_8_25,refute_8_29]) ).
cnf(refute_8_31,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_8_32,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),e22) )],[refute_8_30,refute_8_31]) ).
cnf(refute_8_33,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_8_15,refute_8_32]) ).
cnf(refute_8_34,plain,
op2(h4(e12),h4(e10)) = op2(h4(e12),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_8_35,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) = op2(e22,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) ),[1,0],$fot(e22)]]) ).
cnf(refute_8_36,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e10)) = op2(e22,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) )],[refute_8_34,refute_8_35]) ).
cnf(refute_8_37,plain,
op2(h4(e12),h4(e10)) = op2(e22,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_33,refute_8_36]) ).
cnf(refute_8_38,plain,
( op2(e22,h4(e10)) != op2(e22,e20)
| op2(h4(e12),h4(e10)) != op2(e22,h4(e10))
| op2(h4(e12),h4(e10)) = op2(e22,e20) ),
inference(subst,[],[refute_8_27:[bind(X,$fot(op2(h4(e12),h4(e10)))),bind(Y,$fot(op2(e22,h4(e10)))),bind(Z,$fot(op2(e22,e20)))]]) ).
cnf(refute_8_39,plain,
( op2(e22,h4(e10)) != op2(e22,e20)
| op2(h4(e12),h4(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e22,h4(e10))) )],[refute_8_37,refute_8_38]) ).
cnf(refute_8_40,plain,
op2(h4(e12),h4(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,e20)) )],[refute_8_14,refute_8_39]) ).
cnf(refute_8_41,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| op2(h4(e12),h4(e10)) != op2(e22,e20)
| h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_8_42,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e22,e20)) )],[refute_8_40,refute_8_41]) ).
cnf(refute_8_43,plain,
h4(op1(e12,e10)) != op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) )],[refute_8_42,refute_8_0]) ).
cnf(refute_8_44,plain,
op2(e20,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_8_16]) ).
cnf(refute_8_45,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_8_17]) ).
cnf(refute_8_46,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_8_47,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_8_45,refute_8_46]) ).
cnf(refute_8_48,plain,
( h1(e11) != op2(e22,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_8_49,plain,
( h1(e11) != op2(e22,e20)
| op2(e20,e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_8_47,refute_8_48]) ).
cnf(refute_8_50,plain,
h1(e11) != op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e22,e20)) )],[refute_8_49,refute_8_44]) ).
cnf(refute_8_51,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(canonicalize,[],[normalize_8_19]) ).
cnf(refute_8_52,plain,
op2(e22,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_8_20]) ).
cnf(refute_8_53,plain,
( op2(e22,e20) != e22
| op2(e23,e20) != e22
| op2(e22,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_8_54,plain,
( op2(e22,e20) != e22
| op2(e22,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_8_25,refute_8_53]) ).
cnf(refute_8_55,plain,
op2(e22,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e23,e20)) )],[refute_8_54,refute_8_52]) ).
cnf(refute_8_56,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_8_51,refute_8_55]) ).
cnf(refute_8_57,plain,
op2(e21,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_8_21]) ).
cnf(refute_8_58,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_8_23]) ).
cnf(refute_8_59,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_8_24]) ).
cnf(refute_8_60,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_8_61,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_8_59,refute_8_60]) ).
cnf(refute_8_62,plain,
( h2(e11) != e20
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_8_63,plain,
( h2(e11) != e20
| op2(e21,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_61,refute_8_62]) ).
cnf(refute_8_64,plain,
( h2(e11) != e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_8_63,refute_8_58]) ).
cnf(refute_8_65,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_8_25]) ).
cnf(refute_8_66,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_8_67,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_8_65,refute_8_66]) ).
cnf(refute_8_68,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_8_69,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_70,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_8_68,refute_8_69]) ).
cnf(refute_8_71,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_67,refute_8_70]) ).
cnf(refute_8_72,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_8_73,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_74,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_8_72,refute_8_73]) ).
cnf(refute_8_75,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_67,refute_8_74]) ).
cnf(refute_8_76,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_8_27:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_8_77,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_8_75,refute_8_76]) ).
cnf(refute_8_78,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_8_71,refute_8_77]) ).
cnf(refute_8_79,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_8_27:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_8_80,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_8_78,refute_8_79]) ).
cnf(refute_8_81,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_8_61,refute_8_80]) ).
cnf(refute_8_82,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| e20 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e11)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_8_83,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_8_81,refute_8_82]) ).
cnf(refute_8_84,plain,
e20 = h2(e11),
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_8_2,refute_8_83]) ).
cnf(refute_8_85,plain,
( e20 != h2(e11)
| h2(e11) = e20 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e20)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_8_86,plain,
h2(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h2(e11)) )],[refute_8_84,refute_8_85]) ).
cnf(refute_8_87,plain,
( e20 != e20
| h2(e11) != e20
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(e20)]]) ).
cnf(refute_8_88,plain,
( e20 != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_8_86,refute_8_87]) ).
cnf(refute_8_89,plain,
( e20 != e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_8_88,refute_8_64]) ).
cnf(refute_8_90,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_8_91,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_8_90,refute_8_89]) ).
cnf(refute_8_92,plain,
( e21 != op2(e22,e20)
| op2(e21,e20) != e21
| op2(e21,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e21) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_8_93,plain,
( e21 != op2(e22,e20)
| op2(e21,e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_8_91,refute_8_92]) ).
cnf(refute_8_94,plain,
e21 != op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e22,e20)) )],[refute_8_93,refute_8_57]) ).
cnf(refute_8_95,plain,
( op2(e22,e20) != e21
| e21 = op2(e22,e20) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(op2(e22,e20))),bind(Y,$fot(e21))]]) ).
cnf(refute_8_96,plain,
op2(e22,e20) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e20)) )],[refute_8_95,refute_8_94]) ).
cnf(refute_8_97,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_8_56,refute_8_96]) ).
cnf(refute_8_98,plain,
( h1(e11) != e23
| op2(e22,e20) != e23
| h1(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e22,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_8_99,plain,
( h1(e11) != e23
| h1(e11) = op2(e22,e20)
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_8_97,refute_8_98]) ).
cnf(refute_8_100,plain,
( h1(e11) != e23
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e22,e20)) )],[refute_8_99,refute_8_50]) ).
cnf(refute_8_101,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_8_26]) ).
cnf(refute_8_102,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_8_103,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_8_104,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_8_102,refute_8_103]) ).
cnf(refute_8_105,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_10,refute_8_104]) ).
cnf(refute_8_106,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_8_107,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_8_108,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_8_106,refute_8_107]) ).
cnf(refute_8_109,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_10,refute_8_108]) ).
cnf(refute_8_110,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_8_27:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_8_111,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_8_109,refute_8_110]) ).
cnf(refute_8_112,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_8_105,refute_8_111]) ).
cnf(refute_8_113,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_8_27:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_8_114,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_8_112,refute_8_113]) ).
cnf(refute_8_115,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_8_47,refute_8_114]) ).
cnf(refute_8_116,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_8_117,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_8_115,refute_8_116]) ).
cnf(refute_8_118,plain,
h4(op1(e10,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_8_101,refute_8_117]) ).
cnf(refute_8_119,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_8_28]) ).
cnf(refute_8_120,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_8_121,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_8_47,refute_8_120]) ).
cnf(refute_8_122,plain,
( h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_8_119,refute_8_121]) ).
cnf(refute_8_123,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0],$fot(e22)]]) ).
cnf(refute_8_124,plain,
( op2(e23,e20) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_8_25,refute_8_123]) ).
cnf(refute_8_125,plain,
( e22 = e23
| h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_8_122,refute_8_124]) ).
cnf(refute_8_126,plain,
e22 != e23,
inference(canonicalize,[],[normalize_8_30]) ).
cnf(refute_8_127,plain,
( h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_8_125,refute_8_126]) ).
cnf(refute_8_128,plain,
( op2(e21,e20) != e21
| op2(e21,e20) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[0],$fot(e21)]]) ).
cnf(refute_8_129,plain,
( op2(e21,e20) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_8_91,refute_8_128]) ).
cnf(refute_8_130,plain,
( e21 = e23
| h1(e11) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_8_127,refute_8_129]) ).
cnf(refute_8_131,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_8_31]) ).
cnf(refute_8_132,plain,
( op2(e23,e21) != e21
| op2(e23,e23) != e21
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_8_133,plain,
( op2(e23,e21) != e21
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_67,refute_8_132]) ).
cnf(refute_8_134,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_8_133,refute_8_131]) ).
cnf(refute_8_135,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_8_32]) ).
cnf(refute_8_136,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_8_137,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_67,refute_8_136]) ).
cnf(refute_8_138,plain,
( e21 != e21
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_137,refute_8_135]) ).
cnf(refute_8_139,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_8_140,plain,
op2(e23,e21) = e23,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_8_139,refute_8_138]) ).
cnf(refute_8_141,plain,
( e23 != e21
| op2(e23,e21) != e23
| op2(e23,e21) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e23) ),[1],$fot(e21)]]) ).
cnf(refute_8_142,plain,
( e23 != e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_8_140,refute_8_141]) ).
cnf(refute_8_143,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_8_142,refute_8_134]) ).
cnf(refute_8_144,plain,
( e21 != e23
| e23 = e21 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e21)),bind(Y,$fot(e23))]]) ).
cnf(refute_8_145,plain,
e21 != e23,
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_8_144,refute_8_143]) ).
cnf(refute_8_146,plain,
( h1(e11) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_8_130,refute_8_145]) ).
cnf(refute_8_147,plain,
( h4(op1(e12,e10)) != e23
| op2(e22,e20) != e23
| h4(op1(e12,e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e22,e20)) ),[1],$fot(e23)]]) ).
cnf(refute_8_148,plain,
( h4(op1(e12,e10)) != e23
| h1(e11) = e23
| h4(op1(e12,e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_8_146,refute_8_147]) ).
cnf(refute_8_149,plain,
( h4(op1(e12,e10)) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e22,e20)) )],[refute_8_148,refute_8_43]) ).
cnf(refute_8_150,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_8_34]) ).
cnf(refute_8_151,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(canonicalize,[],[normalize_8_36]) ).
cnf(refute_8_152,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(canonicalize,[],[normalize_8_37]) ).
cnf(refute_8_153,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = e10 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_8_154,plain,
op1(op1(e13,e13),op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_8_152,refute_8_153]) ).
cnf(refute_8_155,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
introduced(tautology,[refl,[$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_8_156,plain,
( op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) ),[1,1],$fot(e10)]]) ).
cnf(refute_8_157,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_8_155,refute_8_156]) ).
cnf(refute_8_158,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e10) )],[refute_8_154,refute_8_157]) ).
cnf(refute_8_159,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,e10)
| e12 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e10)) ),[0],$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_8_160,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| e12 = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,e10)) )],[refute_8_158,refute_8_159]) ).
cnf(refute_8_161,plain,
e12 = op1(e13,e10),
inference(resolve,[$cnf( $equal(e12,op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_8_151,refute_8_160]) ).
cnf(refute_8_162,plain,
( e12 != op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e10)))]]) ).
cnf(refute_8_163,plain,
op1(e13,e10) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e10)) )],[refute_8_161,refute_8_162]) ).
cnf(refute_8_164,plain,
( op1(e13,e10) != e12
| op1(e13,e10) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[0],$fot(e12)]]) ).
cnf(refute_8_165,plain,
( op1(e13,e10) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_8_163,refute_8_164]) ).
cnf(refute_8_166,plain,
( e12 = e13
| op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_8_150,refute_8_165]) ).
cnf(refute_8_167,plain,
e12 != e13,
inference(canonicalize,[],[normalize_8_39]) ).
cnf(refute_8_168,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_8_166,refute_8_167]) ).
cnf(refute_8_169,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(canonicalize,[],[normalize_8_41]) ).
cnf(refute_8_170,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_8_42]) ).
cnf(refute_8_171,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_8_172,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_8_170,refute_8_171]) ).
cnf(refute_8_173,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_8_174,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_8_175,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_8_173,refute_8_174]) ).
cnf(refute_8_176,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_172,refute_8_175]) ).
cnf(refute_8_177,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_8_178,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_8_179,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_8_177,refute_8_178]) ).
cnf(refute_8_180,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_172,refute_8_179]) ).
cnf(refute_8_181,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_8_27:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_8_182,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_8_180,refute_8_181]) ).
cnf(refute_8_183,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_8_176,refute_8_182]) ).
cnf(refute_8_184,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_8_185,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| e10 = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_8_183,refute_8_184]) ).
cnf(refute_8_186,plain,
e10 = op1(e11,e11),
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_8_152,refute_8_185]) ).
cnf(refute_8_187,plain,
( e10 != op1(e11,e11)
| op1(e11,e11) = e10 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e11)))]]) ).
cnf(refute_8_188,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_8_186,refute_8_187]) ).
cnf(refute_8_189,plain,
( e10 != e10
| op1(e11,e11) != e10
| op1(e11,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(e10)]]) ).
cnf(refute_8_190,plain,
( e10 != e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_8_188,refute_8_189]) ).
cnf(refute_8_191,plain,
( e10 != e10
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_8_190,refute_8_169]) ).
cnf(refute_8_192,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_8_193,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_8_192,refute_8_191]) ).
cnf(refute_8_194,plain,
( op1(e11,e10) != e11
| op1(e11,e10) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e13) ),[0],$fot(e11)]]) ).
cnf(refute_8_195,plain,
( op1(e11,e10) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_8_193,refute_8_194]) ).
cnf(refute_8_196,plain,
( e11 = e13
| op1(e10,e10) = e13
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_8_168,refute_8_195]) ).
cnf(refute_8_197,plain,
e11 != e13,
inference(canonicalize,[],[normalize_8_43]) ).
cnf(refute_8_198,plain,
( op1(e10,e10) = e13
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_8_196,refute_8_197]) ).
cnf(refute_8_199,plain,
( h4(e13) != e23
| op1(e12,e10) != e13
| h4(op1(e12,e10)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),e23) ),[0,0],$fot(e13)]]) ).
cnf(refute_8_200,plain,
( h4(e13) != e23
| h4(op1(e12,e10)) = e23
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_8_198,refute_8_199]) ).
cnf(refute_8_201,plain,
( h4(e13) != e23
| h1(e11) = e23
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),e23) )],[refute_8_200,refute_8_149]) ).
cnf(refute_8_202,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_8_44]) ).
cnf(refute_8_203,plain,
( e23 != e23
| h4(e13) != e23
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_8_204,plain,
( e23 != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_8_202,refute_8_203]) ).
cnf(refute_8_205,plain,
( e23 != e23
| h1(e11) = e23
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_8_204,refute_8_201]) ).
cnf(refute_8_206,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_8_207,plain,
( h1(e11) = e23
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_206,refute_8_205]) ).
cnf(refute_8_208,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e13
| h4(e13) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_8_209,plain,
( h4(op1(e10,e10)) != h1(e11)
| h1(e11) = e23
| h4(e13) = h1(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_8_207,refute_8_208]) ).
cnf(refute_8_210,plain,
( h1(e11) = e23
| h4(e13) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_8_118,refute_8_209]) ).
cnf(refute_8_211,plain,
( h4(e13) != e23
| h4(e13) != h1(e11)
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h1(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_8_212,plain,
( h4(e13) != h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_8_202,refute_8_211]) ).
cnf(refute_8_213,plain,
( e23 = h1(e11)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),h1(e11)) )],[refute_8_210,refute_8_212]) ).
cnf(refute_8_214,plain,
( h1(e11) != e23
| e23 = h1(e11) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(e23))]]) ).
cnf(refute_8_215,plain,
e23 = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_8_213,refute_8_214]) ).
cnf(refute_8_216,plain,
( e23 != h1(e11)
| h1(e11) = e23 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e23)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_8_217,plain,
h1(e11) = e23,
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_8_215,refute_8_216]) ).
cnf(refute_8_218,plain,
( e23 != e23
| h1(e11) != e23
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_8_219,plain,
( e23 != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_8_217,refute_8_218]) ).
cnf(refute_8_220,plain,
( e23 != e23
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_8_219,refute_8_100]) ).
cnf(refute_8_221,plain,
op2(e22,e20) = e20,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_206,refute_8_220]) ).
cnf(refute_8_222,plain,
( h4(op1(e12,e10)) != e20
| op2(e22,e20) != e20
| h4(op1(e12,e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e22,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_8_223,plain,
( h4(op1(e12,e10)) != e20
| h4(op1(e12,e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_8_221,refute_8_222]) ).
cnf(refute_8_224,plain,
h4(op1(e12,e10)) != e20,
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e22,e20)) )],[refute_8_223,refute_8_43]) ).
cnf(refute_8_225,plain,
op1(e10,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_8_46]) ).
cnf(refute_8_226,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(canonicalize,[],[normalize_8_48]) ).
cnf(refute_8_227,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_8_49]) ).
cnf(refute_8_228,plain,
( op1(e10,e10) != e12
| op1(e13,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_8_229,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_8_163,refute_8_228]) ).
cnf(refute_8_230,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_8_229,refute_8_227]) ).
cnf(refute_8_231,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_8_226,refute_8_230]) ).
cnf(refute_8_232,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e10 ),
inference(canonicalize,[],[normalize_8_50]) ).
cnf(refute_8_233,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_8_51]) ).
cnf(refute_8_234,plain,
( op1(e10,e11) != e10
| op1(e11,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_8_235,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_8_188,refute_8_234]) ).
cnf(refute_8_236,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_8_235,refute_8_233]) ).
cnf(refute_8_237,plain,
op1(e10,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_8_232,refute_8_236]) ).
cnf(refute_8_238,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_8_231,refute_8_237]) ).
cnf(refute_8_239,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e10
| h4(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e10)]]) ).
cnf(refute_8_240,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e10) = h1(e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_8_238,refute_8_239]) ).
cnf(refute_8_241,plain,
( h4(e10) = h1(e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_8_118,refute_8_240]) ).
cnf(refute_8_242,plain,
( h4(e10) != e20
| h4(e10) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h1(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_8_243,plain,
( h4(e10) != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_10,refute_8_242]) ).
cnf(refute_8_244,plain,
( e20 = h1(e11)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_8_241,refute_8_243]) ).
cnf(refute_8_245,plain,
( e20 != h1(e11)
| h1(e11) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_8_246,plain,
( e20 != h1(e11)
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_8_217,refute_8_245]) ).
cnf(refute_8_247,plain,
( e20 = e23
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_8_244,refute_8_246]) ).
cnf(refute_8_248,plain,
e20 != e23,
inference(canonicalize,[],[normalize_8_52]) ).
cnf(refute_8_249,plain,
op1(e10,e10) = e13,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_8_247,refute_8_248]) ).
cnf(refute_8_250,plain,
( e13 != op1(e12,e10)
| op1(e10,e10) != e13
| op1(e10,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_8_251,plain,
( e13 != op1(e12,e10)
| op1(e10,e10) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_8_249,refute_8_250]) ).
cnf(refute_8_252,plain,
e13 != op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e12,e10)) )],[refute_8_251,refute_8_225]) ).
cnf(refute_8_253,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_8_53]) ).
cnf(refute_8_254,plain,
op1(e12,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_8_54]) ).
cnf(refute_8_255,plain,
( op1(e12,e10) != e12
| op1(e13,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_8_256,plain,
( op1(e12,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_8_163,refute_8_255]) ).
cnf(refute_8_257,plain,
op1(e12,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e13,e10)) )],[refute_8_256,refute_8_254]) ).
cnf(refute_8_258,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_8_253,refute_8_257]) ).
cnf(refute_8_259,plain,
op1(e11,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_8_55]) ).
cnf(refute_8_260,plain,
( e11 != op1(e12,e10)
| op1(e11,e10) != e11
| op1(e11,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_8_261,plain,
( e11 != op1(e12,e10)
| op1(e11,e10) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_8_193,refute_8_260]) ).
cnf(refute_8_262,plain,
e11 != op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,e10)) )],[refute_8_261,refute_8_259]) ).
cnf(refute_8_263,plain,
( op1(e12,e10) != e11
| e11 = op1(e12,e10) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(op1(e12,e10))),bind(Y,$fot(e11))]]) ).
cnf(refute_8_264,plain,
op1(e12,e10) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e10)) )],[refute_8_263,refute_8_262]) ).
cnf(refute_8_265,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_8_258,refute_8_264]) ).
cnf(refute_8_266,plain,
( e13 != e13
| op1(e12,e10) != e13
| e13 = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e12,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_8_267,plain,
( e13 != e13
| e13 = op1(e12,e10)
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_8_265,refute_8_266]) ).
cnf(refute_8_268,plain,
( e13 != e13
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e10)) )],[refute_8_267,refute_8_252]) ).
cnf(refute_8_269,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_8_270,plain,
op1(e12,e10) = e10,
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_8_269,refute_8_268]) ).
cnf(refute_8_271,plain,
h4(op1(e12,e10)) = h4(op1(e12,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e10)))]]) ).
cnf(refute_8_272,plain,
( h4(op1(e12,e10)) != h4(op1(e12,e10))
| op1(e12,e10) != e10
| h4(op1(e12,e10)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),h4(op1(e12,e10))) ),[1,0],$fot(e10)]]) ).
cnf(refute_8_273,plain,
( op1(e12,e10) != e10
| h4(op1(e12,e10)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),h4(op1(e12,e10))) )],[refute_8_271,refute_8_272]) ).
cnf(refute_8_274,plain,
h4(op1(e12,e10)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_8_270,refute_8_273]) ).
cnf(refute_8_275,plain,
( h4(e10) != e20
| h4(op1(e12,e10)) != h4(e10)
| h4(op1(e12,e10)) = e20 ),
inference(subst,[],[refute_8_27:[bind(X,$fot(h4(op1(e12,e10)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_8_276,plain,
( h4(e10) != e20
| h4(op1(e12,e10)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),h4(e10)) )],[refute_8_274,refute_8_275]) ).
cnf(refute_8_277,plain,
h4(op1(e12,e10)) = e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_10,refute_8_276]) ).
cnf(refute_8_278,plain,
( e20 != e20
| h4(op1(e12,e10)) != e20
| h4(op1(e12,e10)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),e20) ),[1],$fot(e20)]]) ).
cnf(refute_8_279,plain,
( e20 != e20
| h4(op1(e12,e10)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),e20) )],[refute_8_277,refute_8_278]) ).
cnf(refute_8_280,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),e20) )],[refute_8_279,refute_8_224]) ).
cnf(refute_8_281,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_8_90,refute_8_280]) ).
fof(negate_9_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) )
=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
inference(negate,[],[subgoal_9]) ).
fof(normalize_9_0,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_9_0]) ).
fof(normalize_9_1,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_9_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_9_1]) ).
fof(normalize_9_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_9_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_9_3]) ).
fof(normalize_9_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_9_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_9_5]) ).
fof(normalize_9_7,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_9_0,normalize_9_2,normalize_9_4,normalize_9_6]) ).
fof(normalize_9_8,plain,
h4(op1(e12,e11)) != op2(h4(e12),h4(e11)),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_9,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_9_10,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_11,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_9_12,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_13,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_14,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_15,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_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_9_17,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_9_16]) ).
fof(normalize_9_18,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_9_3]) ).
fof(normalize_9_19,plain,
( ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_9_20,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_9_19]) ).
fof(normalize_9_21,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_9_22,plain,
e21 != e23,
inference(conjunct,[],[normalize_9_21]) ).
fof(normalize_9_23,plain,
e20 != e21,
inference(conjunct,[],[normalize_9_21]) ).
fof(normalize_9_24,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_25,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_26,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_27,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(conjunct,[],[normalize_9_26]) ).
fof(normalize_9_28,plain,
( ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_9_29,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_9_28]) ).
fof(normalize_9_30,plain,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_9_31,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_9_30]) ).
fof(normalize_9_32,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_9_33,plain,
e12 != e13,
inference(conjunct,[],[normalize_9_32]) ).
fof(normalize_9_34,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(conjunct,[],[normalize_9_30]) ).
fof(normalize_9_35,plain,
e10 != e12,
inference(conjunct,[],[normalize_9_32]) ).
fof(normalize_9_36,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_37,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_38,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_9_39,plain,
op2(e21,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_9_38]) ).
fof(normalize_9_40,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_9_38]) ).
fof(normalize_9_41,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(conjunct,[],[normalize_9_16]) ).
fof(normalize_9_42,plain,
e22 != e23,
inference(conjunct,[],[normalize_9_21]) ).
fof(normalize_9_43,plain,
e20 != e22,
inference(conjunct,[],[normalize_9_21]) ).
fof(normalize_9_44,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_9_38]) ).
fof(normalize_9_45,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(conjunct,[],[normalize_9_16]) ).
fof(normalize_9_46,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_9_1]) ).
fof(normalize_9_47,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_9_38]) ).
fof(normalize_9_48,plain,
( op2(e20,e20) != e21
| op2(e20,e21) = e20 ),
inference(conjunct,[],[normalize_9_19]) ).
fof(normalize_9_49,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_9_38]) ).
fof(normalize_9_50,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_51,plain,
op2(e20,e21) != op2(e20,e23),
inference(conjunct,[],[normalize_9_38]) ).
fof(normalize_9_52,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_53,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_54,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(conjunct,[],[normalize_9_26]) ).
fof(normalize_9_55,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_56,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_9_55]) ).
fof(normalize_9_57,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(conjunct,[],[normalize_9_30]) ).
fof(normalize_9_58,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(conjunct,[],[normalize_9_26]) ).
fof(normalize_9_59,plain,
e11 != e13,
inference(conjunct,[],[normalize_9_32]) ).
fof(normalize_9_60,plain,
e10 != e11,
inference(conjunct,[],[normalize_9_32]) ).
fof(normalize_9_61,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_9_55]) ).
cnf(refute_9_0,plain,
h4(op1(e12,e11)) != op2(h4(e12),h4(e11)),
inference(canonicalize,[],[normalize_9_8]) ).
cnf(refute_9_1,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_9_10]) ).
cnf(refute_9_2,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_9_12]) ).
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( $equal(X,X) )],[refute_9_3,refute_9_4]) ).
cnf(refute_9_6,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_9_7,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_9_2,refute_9_6]) ).
cnf(refute_9_8,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_9_9,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_7,refute_9_8]) ).
cnf(refute_9_10,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_9_1,refute_9_9]) ).
cnf(refute_9_11,plain,
op2(e22,h4(e11)) = op2(e22,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e11)))]]) ).
cnf(refute_9_12,plain,
( h4(e11) != e21
| op2(e22,h4(e11)) != op2(e22,h4(e11))
| op2(e22,h4(e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_13,plain,
( h4(e11) != e21
| op2(e22,h4(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) )],[refute_9_11,refute_9_12]) ).
cnf(refute_9_14,plain,
op2(e22,h4(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_10,refute_9_13]) ).
cnf(refute_9_15,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_9_13]) ).
cnf(refute_9_16,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_9_14]) ).
cnf(refute_9_17,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_9_15]) ).
cnf(refute_9_18,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = e20 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_9_19,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_9_17,refute_9_18]) ).
cnf(refute_9_20,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
introduced(tautology,[refl,[$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_9_21,plain,
( op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) ),[1,1],$fot(e20)]]) ).
cnf(refute_9_22,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_9_20,refute_9_21]) ).
cnf(refute_9_23,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_9_19,refute_9_22]) ).
cnf(refute_9_24,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e20)) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_9_25,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_9_23,refute_9_24]) ).
cnf(refute_9_26,plain,
e22 = op2(e23,e20),
inference(resolve,[$cnf( $equal(e22,op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_9_16,refute_9_25]) ).
cnf(refute_9_27,plain,
( e22 != op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_9_28,plain,
op2(e23,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_9_26,refute_9_27]) ).
cnf(refute_9_29,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_9_30,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_9_5,refute_9_29]) ).
cnf(refute_9_31,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(subst,[],[refute_9_30:[bind(X,$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(e22))]]) ).
cnf(refute_9_32,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_9_23,refute_9_31]) ).
cnf(refute_9_33,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22,
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_9_28,refute_9_32]) ).
cnf(refute_9_34,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_9_35,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),e22) )],[refute_9_33,refute_9_34]) ).
cnf(refute_9_36,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_9_15,refute_9_35]) ).
cnf(refute_9_37,plain,
op2(h4(e12),h4(e11)) = op2(h4(e12),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_9_38,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) = op2(e22,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) ),[1,0],$fot(e22)]]) ).
cnf(refute_9_39,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e11)) = op2(e22,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) )],[refute_9_37,refute_9_38]) ).
cnf(refute_9_40,plain,
op2(h4(e12),h4(e11)) = op2(e22,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_36,refute_9_39]) ).
cnf(refute_9_41,plain,
( op2(e22,h4(e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) != op2(e22,h4(e11))
| op2(h4(e12),h4(e11)) = op2(e22,e21) ),
inference(subst,[],[refute_9_30:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e22,h4(e11)))),bind(Z,$fot(op2(e22,e21)))]]) ).
cnf(refute_9_42,plain,
( op2(e22,h4(e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,h4(e11))) )],[refute_9_40,refute_9_41]) ).
cnf(refute_9_43,plain,
op2(h4(e12),h4(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,e21)) )],[refute_9_14,refute_9_42]) ).
cnf(refute_9_44,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) != op2(e22,e21)
| h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_9_45,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,e21)) )],[refute_9_43,refute_9_44]) ).
cnf(refute_9_46,plain,
h4(op1(e12,e11)) != op2(e22,e21),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) )],[refute_9_45,refute_9_0]) ).
cnf(refute_9_47,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_9_17]) ).
cnf(refute_9_48,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_9_18]) ).
cnf(refute_9_49,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_9_50,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_9_48,refute_9_49]) ).
cnf(refute_9_51,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e11)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_9_52,plain,
( op2(e21,e21) != e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_9_50,refute_9_51]) ).
cnf(refute_9_53,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_9_47,refute_9_52]) ).
cnf(refute_9_54,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_9_20]) ).
cnf(refute_9_55,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_9_56,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_7,refute_9_55]) ).
cnf(refute_9_57,plain,
( e21 != e21
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_56,refute_9_54]) ).
cnf(refute_9_58,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_9_59,plain,
op2(e23,e21) = e23,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_9_58,refute_9_57]) ).
cnf(refute_9_60,plain,
( op2(e23,e21) != e21
| op2(e23,e21) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e21) ),[0],$fot(e23)]]) ).
cnf(refute_9_61,plain,
( op2(e23,e21) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_9_59,refute_9_60]) ).
cnf(refute_9_62,plain,
( e23 = e21
| h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_9_53,refute_9_61]) ).
cnf(refute_9_63,plain,
e21 != e23,
inference(canonicalize,[],[normalize_9_22]) ).
cnf(refute_9_64,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_9_65,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_64,refute_9_63]) ).
cnf(refute_9_66,plain,
( h2(e11) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_9_62,refute_9_65]) ).
cnf(refute_9_67,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_9_68,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_69,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_9_67,refute_9_68]) ).
cnf(refute_9_70,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_7,refute_9_69]) ).
cnf(refute_9_71,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_9_72,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_73,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_9_71,refute_9_72]) ).
cnf(refute_9_74,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_7,refute_9_73]) ).
cnf(refute_9_75,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_9_30:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_9_76,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_9_74,refute_9_75]) ).
cnf(refute_9_77,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_9_70,refute_9_76]) ).
cnf(refute_9_78,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_9_30:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_9_79,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_9_77,refute_9_78]) ).
cnf(refute_9_80,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_9_50,refute_9_79]) ).
cnf(refute_9_81,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| e20 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e11)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_9_82,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_9_80,refute_9_81]) ).
cnf(refute_9_83,plain,
e20 = h2(e11),
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_9_17,refute_9_82]) ).
cnf(refute_9_84,plain,
( e20 != h2(e11)
| h2(e11) = e20 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e20)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_9_85,plain,
h2(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h2(e11)) )],[refute_9_83,refute_9_84]) ).
cnf(refute_9_86,plain,
( h2(e11) != e20
| h2(e11) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e21) ),[0],$fot(e20)]]) ).
cnf(refute_9_87,plain,
( h2(e11) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_9_85,refute_9_86]) ).
cnf(refute_9_88,plain,
( e20 = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_9_66,refute_9_87]) ).
cnf(refute_9_89,plain,
e20 != e21,
inference(canonicalize,[],[normalize_9_23]) ).
cnf(refute_9_90,plain,
( op2(e20,e21) = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_9_88,refute_9_89]) ).
cnf(refute_9_91,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_9_24]) ).
cnf(refute_9_92,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_9_93,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) != op2(e20,h4(e11))
| op2(e20,h4(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_94,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_9_92,refute_9_93]) ).
cnf(refute_9_95,plain,
op2(e20,h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_10,refute_9_94]) ).
cnf(refute_9_96,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_9_25]) ).
cnf(refute_9_97,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_9_98,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_9_19,refute_9_97]) ).
cnf(refute_9_99,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_9_96,refute_9_98]) ).
cnf(refute_9_100,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_9_101,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_9_102,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_9_100,refute_9_101]) ).
cnf(refute_9_103,plain,
op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_9_99,refute_9_102]) ).
cnf(refute_9_104,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_9_30:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_9_105,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_9_103,refute_9_104]) ).
cnf(refute_9_106,plain,
op2(h4(e10),h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_9_95,refute_9_105]) ).
cnf(refute_9_107,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_9_108,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_9_106,refute_9_107]) ).
cnf(refute_9_109,plain,
h4(op1(e10,e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_9_91,refute_9_108]) ).
cnf(refute_9_110,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(canonicalize,[],[normalize_9_27]) ).
cnf(refute_9_111,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_9_29]) ).
cnf(refute_9_112,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_9_31]) ).
cnf(refute_9_113,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_9_114,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_9_112,refute_9_113]) ).
cnf(refute_9_115,plain,
( e11 != e11
| op1(e13,e13) != e11
| op1(e13,e13) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).
cnf(refute_9_116,plain,
( e11 != e11
| op1(e13,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_114,refute_9_115]) ).
cnf(refute_9_117,plain,
( e11 != e11
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_116,refute_9_111]) ).
cnf(refute_9_118,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_9_119,plain,
op1(e13,e11) = e13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_9_118,refute_9_117]) ).
cnf(refute_9_120,plain,
( op1(e13,e11) != e12
| op1(e13,e11) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(e13)]]) ).
cnf(refute_9_121,plain,
( op1(e13,e11) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_9_119,refute_9_120]) ).
cnf(refute_9_122,plain,
( e13 = e12
| op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_9_110,refute_9_121]) ).
cnf(refute_9_123,plain,
e12 != e13,
inference(canonicalize,[],[normalize_9_33]) ).
cnf(refute_9_124,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_9_125,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_9_124,refute_9_123]) ).
cnf(refute_9_126,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_9_122,refute_9_125]) ).
cnf(refute_9_127,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(canonicalize,[],[normalize_9_34]) ).
cnf(refute_9_128,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_9_129,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_9_130,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_9_128,refute_9_129]) ).
cnf(refute_9_131,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_114,refute_9_130]) ).
cnf(refute_9_132,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_9_133,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_9_134,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_9_132,refute_9_133]) ).
cnf(refute_9_135,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_114,refute_9_134]) ).
cnf(refute_9_136,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_9_30:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_9_137,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_9_135,refute_9_136]) ).
cnf(refute_9_138,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_9_131,refute_9_137]) ).
cnf(refute_9_139,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_9_140,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| e10 = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_9_138,refute_9_139]) ).
cnf(refute_9_141,plain,
e10 = op1(e11,e11),
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_9_127,refute_9_140]) ).
cnf(refute_9_142,plain,
( e10 != op1(e11,e11)
| op1(e11,e11) = e10 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e11)))]]) ).
cnf(refute_9_143,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_9_141,refute_9_142]) ).
cnf(refute_9_144,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_9_145,plain,
( op1(e11,e11) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_9_143,refute_9_144]) ).
cnf(refute_9_146,plain,
( e10 = e12
| op1(e10,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_9_126,refute_9_145]) ).
cnf(refute_9_147,plain,
e10 != e12,
inference(canonicalize,[],[normalize_9_35]) ).
cnf(refute_9_148,plain,
( op1(e10,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_9_146,refute_9_147]) ).
cnf(refute_9_149,plain,
( h4(e12) != op2(e22,e21)
| op1(e12,e11) != e12
| h4(op1(e12,e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e22,e21)) ),[0,0],$fot(e12)]]) ).
cnf(refute_9_150,plain,
( h4(e12) != op2(e22,e21)
| h4(op1(e12,e11)) = op2(e22,e21)
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_9_148,refute_9_149]) ).
cnf(refute_9_151,plain,
( h4(e12) != op2(e22,e21)
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e22,e21)) )],[refute_9_150,refute_9_46]) ).
cnf(refute_9_152,plain,
( e22 != op2(e22,e21)
| h4(e12) != e22
| h4(e12) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_9_153,plain,
( e22 != op2(e22,e21)
| h4(e12) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_36,refute_9_152]) ).
cnf(refute_9_154,plain,
( e22 != op2(e22,e21)
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e22,e21)) )],[refute_9_153,refute_9_151]) ).
cnf(refute_9_155,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(canonicalize,[],[normalize_9_37]) ).
cnf(refute_9_156,plain,
op2(e21,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_9_39]) ).
cnf(refute_9_157,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_9_158,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_9_50,refute_9_157]) ).
cnf(refute_9_159,plain,
h2(e11) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_9_158,refute_9_156]) ).
cnf(refute_9_160,plain,
( e20 != op2(e22,e21)
| h2(e11) != e20
| h2(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_9_161,plain,
( e20 != op2(e22,e21)
| h2(e11) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_9_85,refute_9_160]) ).
cnf(refute_9_162,plain,
e20 != op2(e22,e21),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e21)) )],[refute_9_161,refute_9_159]) ).
cnf(refute_9_163,plain,
( op2(e22,e21) != e20
| e20 = op2(e22,e21) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(op2(e22,e21))),bind(Y,$fot(e20))]]) ).
cnf(refute_9_164,plain,
op2(e22,e21) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_9_163,refute_9_162]) ).
cnf(refute_9_165,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_9_155,refute_9_164]) ).
cnf(refute_9_166,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_9_40]) ).
cnf(refute_9_167,plain,
( op2(e22,e21) != e23
| op2(e23,e21) != e23
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_9_168,plain,
( op2(e22,e21) != e23
| op2(e22,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_9_59,refute_9_167]) ).
cnf(refute_9_169,plain,
op2(e22,e21) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_9_168,refute_9_166]) ).
cnf(refute_9_170,plain,
( op2(e22,e21) = e21
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_9_165,refute_9_169]) ).
cnf(refute_9_171,plain,
( e22 != e22
| op2(e22,e21) != e22
| e22 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_9_172,plain,
( e22 != e22
| e22 = op2(e22,e21)
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_9_170,refute_9_171]) ).
cnf(refute_9_173,plain,
( e22 != e22
| op1(e10,e11) = e12
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e21)) )],[refute_9_172,refute_9_154]) ).
cnf(refute_9_174,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_9_175,plain,
( op1(e10,e11) = e12
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_9_174,refute_9_173]) ).
cnf(refute_9_176,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(canonicalize,[],[normalize_9_41]) ).
cnf(refute_9_177,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_9_178,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_9_50,refute_9_177]) ).
cnf(refute_9_179,plain,
( h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_9_176,refute_9_178]) ).
cnf(refute_9_180,plain,
( op2(e23,e21) != e22
| op2(e23,e21) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e22) ),[0],$fot(e23)]]) ).
cnf(refute_9_181,plain,
( op2(e23,e21) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_9_59,refute_9_180]) ).
cnf(refute_9_182,plain,
( e23 = e22
| h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_9_179,refute_9_181]) ).
cnf(refute_9_183,plain,
e22 != e23,
inference(canonicalize,[],[normalize_9_42]) ).
cnf(refute_9_184,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_9_185,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_9_184,refute_9_183]) ).
cnf(refute_9_186,plain,
( h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_9_182,refute_9_185]) ).
cnf(refute_9_187,plain,
( h2(e11) != e20
| h2(e11) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[0],$fot(e20)]]) ).
cnf(refute_9_188,plain,
( h2(e11) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_9_85,refute_9_187]) ).
cnf(refute_9_189,plain,
( e20 = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_9_186,refute_9_188]) ).
cnf(refute_9_190,plain,
e20 != e22,
inference(canonicalize,[],[normalize_9_43]) ).
cnf(refute_9_191,plain,
( op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_9_189,refute_9_190]) ).
cnf(refute_9_192,plain,
( op2(e22,e21) != e21
| op2(e22,e21) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e21) ),[0],$fot(e22)]]) ).
cnf(refute_9_193,plain,
( op2(e22,e21) != e21
| e22 = e21
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_9_191,refute_9_192]) ).
cnf(refute_9_194,plain,
( e22 = e21
| op1(e10,e11) = e12
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_9_175,refute_9_193]) ).
cnf(refute_9_195,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_9_44]) ).
cnf(refute_9_196,plain,
( e22 != op2(e23,e23)
| op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_9_197,plain,
( e22 != op2(e23,e23)
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_9_28,refute_9_196]) ).
cnf(refute_9_198,plain,
( e22 != e21
| op2(e23,e23) != e21
| e22 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_9_199,plain,
( e22 != e21
| e22 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_7,refute_9_198]) ).
cnf(refute_9_200,plain,
( e22 != e21
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_9_199,refute_9_197]) ).
cnf(refute_9_201,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_9_200,refute_9_195]) ).
cnf(refute_9_202,plain,
( op1(e10,e11) = e12
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_9_194,refute_9_201]) ).
cnf(refute_9_203,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(canonicalize,[],[normalize_9_45]) ).
cnf(refute_9_204,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_9_46]) ).
cnf(refute_9_205,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_9_206,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_9_204,refute_9_205]) ).
cnf(refute_9_207,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_9_208,plain,
( op2(e20,e20) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_9_206,refute_9_207]) ).
cnf(refute_9_209,plain,
( h1(e11) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_9_203,refute_9_208]) ).
cnf(refute_9_210,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_9_47]) ).
cnf(refute_9_211,plain,
( op2(e20,e23) != e21
| op2(e23,e23) != e21
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_9_212,plain,
( op2(e20,e23) != e21
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_7,refute_9_211]) ).
cnf(refute_9_213,plain,
op2(e20,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_9_212,refute_9_210]) ).
cnf(refute_9_214,plain,
( h1(e11) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_9_209,refute_9_213]) ).
cnf(refute_9_215,plain,
( op2(e20,e20) != e21
| op2(e20,e21) = e20 ),
inference(canonicalize,[],[normalize_9_48]) ).
cnf(refute_9_216,plain,
( h1(e11) != e21
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_9_217,plain,
( h1(e11) != e21
| op2(e20,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_9_206,refute_9_216]) ).
cnf(refute_9_218,plain,
( h1(e11) != e21
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_9_217,refute_9_215]) ).
cnf(refute_9_219,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_9_49]) ).
cnf(refute_9_220,plain,
( op2(e20,e21) != h2(e11)
| op2(e21,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_9_221,plain,
( op2(e20,e21) != h2(e11)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_9_50,refute_9_220]) ).
cnf(refute_9_222,plain,
op2(e20,e21) != h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_9_221,refute_9_219]) ).
cnf(refute_9_223,plain,
( h2(e11) != e20
| op2(e20,e21) != e20
| op2(e20,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),h2(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_9_224,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_9_85,refute_9_223]) ).
cnf(refute_9_225,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_9_224,refute_9_222]) ).
cnf(refute_9_226,plain,
h1(e11) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_9_218,refute_9_225]) ).
cnf(refute_9_227,plain,
( op2(e20,e21) = e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_9_214,refute_9_226]) ).
cnf(refute_9_228,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_9_50]) ).
cnf(refute_9_229,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_9_230,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) != op2(e20,h4(e12))
| op2(e20,h4(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_9_231,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_9_229,refute_9_230]) ).
cnf(refute_9_232,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_36,refute_9_231]) ).
cnf(refute_9_233,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_9_234,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_9_235,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_9_233,refute_9_234]) ).
cnf(refute_9_236,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_9_99,refute_9_235]) ).
cnf(refute_9_237,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_9_30:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_9_238,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_9_236,refute_9_237]) ).
cnf(refute_9_239,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_9_232,refute_9_238]) ).
cnf(refute_9_240,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_9_241,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_9_239,refute_9_240]) ).
cnf(refute_9_242,plain,
h4(op1(e10,e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_9_228,refute_9_241]) ).
cnf(refute_9_243,plain,
op2(e20,e21) != op2(e20,e23),
inference(canonicalize,[],[normalize_9_51]) ).
cnf(refute_9_244,plain,
( e22 != op2(e20,e23)
| op2(e20,e21) != e22
| op2(e20,e21) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_9_245,plain,
( e22 != op2(e20,e23)
| op1(e10,e11) = e12
| op2(e20,e21) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_9_202,refute_9_244]) ).
cnf(refute_9_246,plain,
( e22 != op2(e20,e23)
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e23)) )],[refute_9_245,refute_9_243]) ).
cnf(refute_9_247,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_9_52]) ).
cnf(refute_9_248,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_9_53]) ).
cnf(refute_9_249,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_9_250,plain,
( h4(e13) != e23
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_9_251,plain,
( h4(e13) != e23
| op2(e20,h4(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_9_249,refute_9_250]) ).
cnf(refute_9_252,plain,
op2(e20,h4(e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_9_248,refute_9_251]) ).
cnf(refute_9_253,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_9_254,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_9_255,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_9_253,refute_9_254]) ).
cnf(refute_9_256,plain,
op2(h4(e10),h4(e13)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_9_99,refute_9_255]) ).
cnf(refute_9_257,plain,
( op2(e20,h4(e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) != op2(e20,h4(e13))
| op2(h4(e10),h4(e13)) = op2(e20,e23) ),
inference(subst,[],[refute_9_30:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_9_258,plain,
( op2(e20,h4(e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,h4(e13))) )],[refute_9_256,refute_9_257]) ).
cnf(refute_9_259,plain,
op2(h4(e10),h4(e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e23)) )],[refute_9_252,refute_9_258]) ).
cnf(refute_9_260,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) != op2(e20,e23)
| h4(op1(e10,e13)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_9_261,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,e23)) )],[refute_9_259,refute_9_260]) ).
cnf(refute_9_262,plain,
h4(op1(e10,e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_9_247,refute_9_261]) ).
cnf(refute_9_263,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(canonicalize,[],[normalize_9_54]) ).
cnf(refute_9_264,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_9_56]) ).
cnf(refute_9_265,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(canonicalize,[],[normalize_9_57]) ).
cnf(refute_9_266,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = e10 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_9_267,plain,
op1(op1(e13,e13),op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_9_127,refute_9_266]) ).
cnf(refute_9_268,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
introduced(tautology,[refl,[$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_9_269,plain,
( op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) ),[1,1],$fot(e10)]]) ).
cnf(refute_9_270,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_9_268,refute_9_269]) ).
cnf(refute_9_271,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e10) )],[refute_9_267,refute_9_270]) ).
cnf(refute_9_272,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,e10)
| e12 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e10)) ),[0],$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_9_273,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| e12 = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,e10)) )],[refute_9_271,refute_9_272]) ).
cnf(refute_9_274,plain,
e12 = op1(e13,e10),
inference(resolve,[$cnf( $equal(e12,op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_9_265,refute_9_273]) ).
cnf(refute_9_275,plain,
( e12 != op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e10)))]]) ).
cnf(refute_9_276,plain,
op1(e13,e10) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e10)) )],[refute_9_274,refute_9_275]) ).
cnf(refute_9_277,plain,
( op1(e10,e10) != e12
| op1(e13,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_9_278,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_9_276,refute_9_277]) ).
cnf(refute_9_279,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_9_278,refute_9_264]) ).
cnf(refute_9_280,plain,
( op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_9_263,refute_9_279]) ).
cnf(refute_9_281,plain,
( h4(op1(e10,e13)) != op2(e20,e23)
| op1(e10,e13) != e12
| h4(e12) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0,0],$fot(e12)]]) ).
cnf(refute_9_282,plain,
( h4(op1(e10,e13)) != op2(e20,e23)
| h4(e12) = op2(e20,e23)
| op1(e10,e11) = e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_9_280,refute_9_281]) ).
cnf(refute_9_283,plain,
( h4(e12) = op2(e20,e23)
| op1(e10,e11) = e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) )],[refute_9_262,refute_9_282]) ).
cnf(refute_9_284,plain,
( h4(e12) != e22
| h4(e12) != op2(e20,e23)
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(e20,e23)) ),[0],$fot(e22)]]) ).
cnf(refute_9_285,plain,
( h4(e12) != op2(e20,e23)
| e22 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_36,refute_9_284]) ).
cnf(refute_9_286,plain,
( e22 = op2(e20,e23)
| op1(e10,e11) = e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e20,e23)) )],[refute_9_283,refute_9_285]) ).
cnf(refute_9_287,plain,
( e22 != op2(e20,e23)
| op2(e20,e23) = e22 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_9_288,plain,
( op1(e10,e11) = e12
| op1(e10,e12) = e12
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_9_286,refute_9_287]) ).
cnf(refute_9_289,plain,
( e22 != e22
| op2(e20,e23) != e22
| e22 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_9_290,plain,
( e22 != e22
| e22 = op2(e20,e23)
| op1(e10,e11) = e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_9_288,refute_9_289]) ).
cnf(refute_9_291,plain,
( e22 != e22
| op1(e10,e11) = e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(e22,op2(e20,e23)) )],[refute_9_290,refute_9_246]) ).
cnf(refute_9_292,plain,
( op1(e10,e11) = e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_9_174,refute_9_291]) ).
cnf(refute_9_293,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e12
| h4(e12) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e12)]]) ).
cnf(refute_9_294,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e12) = op2(e20,e22)
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_9_292,refute_9_293]) ).
cnf(refute_9_295,plain,
( h4(e12) = op2(e20,e22)
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_9_242,refute_9_294]) ).
cnf(refute_9_296,plain,
( h4(e12) != e22
| h4(e12) != op2(e20,e22)
| e22 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(e20,e22)) ),[0],$fot(e22)]]) ).
cnf(refute_9_297,plain,
( h4(e12) != op2(e20,e22)
| e22 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_36,refute_9_296]) ).
cnf(refute_9_298,plain,
( e22 = op2(e20,e22)
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e20,e22)) )],[refute_9_295,refute_9_297]) ).
cnf(refute_9_299,plain,
( e22 != op2(e20,e22)
| op2(e20,e22) = e22 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_9_300,plain,
( op1(e10,e11) = e12
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(e22,op2(e20,e22)) )],[refute_9_298,refute_9_299]) ).
cnf(refute_9_301,plain,
( op2(e20,e22) != e21
| op2(e20,e22) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[0],$fot(e22)]]) ).
cnf(refute_9_302,plain,
( op2(e20,e22) != e21
| e22 = e21
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_9_300,refute_9_301]) ).
cnf(refute_9_303,plain,
( e22 = e21
| op1(e10,e11) = e12
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_9_227,refute_9_302]) ).
cnf(refute_9_304,plain,
( op1(e10,e11) = e12
| op2(e20,e21) = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_9_303,refute_9_201]) ).
cnf(refute_9_305,plain,
( op2(e20,e21) != e21
| op2(e20,e21) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[0],$fot(e21)]]) ).
cnf(refute_9_306,plain,
( op2(e20,e21) != e22
| e21 = e22
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_9_304,refute_9_305]) ).
cnf(refute_9_307,plain,
( e21 = e22
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_9_202,refute_9_306]) ).
cnf(refute_9_308,plain,
( e21 != e22
| e22 = e21 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e21)),bind(Y,$fot(e22))]]) ).
cnf(refute_9_309,plain,
e21 != e22,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_9_308,refute_9_201]) ).
cnf(refute_9_310,plain,
op1(e10,e11) = e12,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_9_307,refute_9_309]) ).
cnf(refute_9_311,plain,
h4(op1(e10,e11)) = h4(op1(e10,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e11)))]]) ).
cnf(refute_9_312,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_9_313,plain,
( op1(e10,e11) != e12
| h4(op1(e10,e11)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) )],[refute_9_311,refute_9_312]) ).
cnf(refute_9_314,plain,
h4(op1(e10,e11)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_9_310,refute_9_313]) ).
cnf(refute_9_315,plain,
( h4(e12) != e22
| h4(op1(e10,e11)) != h4(e12)
| h4(op1(e10,e11)) = e22 ),
inference(subst,[],[refute_9_30:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_9_316,plain,
( h4(e12) != e22
| h4(op1(e10,e11)) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(e12)) )],[refute_9_314,refute_9_315]) ).
cnf(refute_9_317,plain,
h4(op1(e10,e11)) = e22,
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_36,refute_9_316]) ).
cnf(refute_9_318,plain,
( h4(op1(e10,e11)) != e22
| h4(op1(e10,e11)) != op2(e20,e21)
| e22 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(e22)]]) ).
cnf(refute_9_319,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| e22 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e22) )],[refute_9_317,refute_9_318]) ).
cnf(refute_9_320,plain,
e22 = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_9_109,refute_9_319]) ).
cnf(refute_9_321,plain,
( e22 != op2(e20,e21)
| op2(e20,e21) = e22 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_9_322,plain,
op2(e20,e21) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e21)) )],[refute_9_320,refute_9_321]) ).
cnf(refute_9_323,plain,
( op2(e20,e21) != e21
| op2(e20,e21) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(e22)]]) ).
cnf(refute_9_324,plain,
( op2(e20,e21) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_9_322,refute_9_323]) ).
cnf(refute_9_325,plain,
( e22 = e21
| op2(e22,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_9_90,refute_9_324]) ).
cnf(refute_9_326,plain,
op2(e22,e21) = e21,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_9_325,refute_9_201]) ).
cnf(refute_9_327,plain,
( h4(op1(e12,e11)) != e21
| op2(e22,e21) != e21
| h4(op1(e12,e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e22,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_9_328,plain,
( h4(op1(e12,e11)) != e21
| h4(op1(e12,e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_9_326,refute_9_327]) ).
cnf(refute_9_329,plain,
h4(op1(e12,e11)) != e21,
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e22,e21)) )],[refute_9_328,refute_9_46]) ).
cnf(refute_9_330,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(canonicalize,[],[normalize_9_58]) ).
cnf(refute_9_331,plain,
( op1(e13,e11) != e11
| op1(e13,e11) != e13
| e13 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(e13)]]) ).
cnf(refute_9_332,plain,
( op1(e13,e11) != e11
| e13 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_9_119,refute_9_331]) ).
cnf(refute_9_333,plain,
( e13 = e11
| op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_9_330,refute_9_332]) ).
cnf(refute_9_334,plain,
e11 != e13,
inference(canonicalize,[],[normalize_9_59]) ).
cnf(refute_9_335,plain,
( e13 != e11
| e11 = e13 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e13)),bind(Y,$fot(e11))]]) ).
cnf(refute_9_336,plain,
e13 != e11,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_9_335,refute_9_334]) ).
cnf(refute_9_337,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(e13,e11) )],[refute_9_333,refute_9_336]) ).
cnf(refute_9_338,plain,
( op1(e10,e11) != e11
| op1(e10,e11) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e11) ),[0],$fot(e12)]]) ).
cnf(refute_9_339,plain,
( op1(e10,e11) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_9_310,refute_9_338]) ).
cnf(refute_9_340,plain,
( e12 = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_9_337,refute_9_339]) ).
cnf(refute_9_341,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e11) ),[0],$fot(e10)]]) ).
cnf(refute_9_342,plain,
( op1(e11,e11) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_9_143,refute_9_341]) ).
cnf(refute_9_343,plain,
( e10 = e11
| e12 = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_9_340,refute_9_342]) ).
cnf(refute_9_344,plain,
e10 != e11,
inference(canonicalize,[],[normalize_9_60]) ).
cnf(refute_9_345,plain,
( e12 = e11
| op1(e12,e11) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_9_343,refute_9_344]) ).
cnf(refute_9_346,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_9_61]) ).
cnf(refute_9_347,plain,
( e12 != op1(e13,e13)
| op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(op1(e13,e13))]]) ).
cnf(refute_9_348,plain,
( e12 != op1(e13,e13)
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_9_276,refute_9_347]) ).
cnf(refute_9_349,plain,
( e12 != e11
| op1(e13,e13) != e11
| e12 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_9_350,plain,
( e12 != e11
| e12 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_114,refute_9_349]) ).
cnf(refute_9_351,plain,
( e12 != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_9_350,refute_9_348]) ).
cnf(refute_9_352,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_9_351,refute_9_346]) ).
cnf(refute_9_353,plain,
op1(e12,e11) = e11,
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_9_345,refute_9_352]) ).
cnf(refute_9_354,plain,
h4(op1(e12,e11)) = h4(op1(e12,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e11)))]]) ).
cnf(refute_9_355,plain,
( h4(op1(e12,e11)) != h4(op1(e12,e11))
| op1(e12,e11) != e11
| h4(op1(e12,e11)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),h4(op1(e12,e11))) ),[1,0],$fot(e11)]]) ).
cnf(refute_9_356,plain,
( op1(e12,e11) != e11
| h4(op1(e12,e11)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),h4(op1(e12,e11))) )],[refute_9_354,refute_9_355]) ).
cnf(refute_9_357,plain,
h4(op1(e12,e11)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_9_353,refute_9_356]) ).
cnf(refute_9_358,plain,
( h4(e11) != e21
| h4(op1(e12,e11)) != h4(e11)
| h4(op1(e12,e11)) = e21 ),
inference(subst,[],[refute_9_30:[bind(X,$fot(h4(op1(e12,e11)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_9_359,plain,
( h4(e11) != e21
| h4(op1(e12,e11)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),h4(e11)) )],[refute_9_357,refute_9_358]) ).
cnf(refute_9_360,plain,
h4(op1(e12,e11)) = e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_10,refute_9_359]) ).
cnf(refute_9_361,plain,
( e21 != e21
| h4(op1(e12,e11)) != e21
| h4(op1(e12,e11)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),e21) ),[1],$fot(e21)]]) ).
cnf(refute_9_362,plain,
( e21 != e21
| h4(op1(e12,e11)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e21) )],[refute_9_360,refute_9_361]) ).
cnf(refute_9_363,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e21) )],[refute_9_362,refute_9_329]) ).
cnf(refute_9_364,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_9_58,refute_9_363]) ).
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(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_10_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_10_1]) ).
fof(normalize_10_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_10_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_10_6,plain,
h3(e13) = 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,
h3(e11) = op2(e22,e22),
inference(conjunct,[],[normalize_10_5]) ).
fof(normalize_10_10,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_10_11,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_10_10]) ).
fof(normalize_10_12,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_10_13,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_10_12]) ).
fof(normalize_10_14,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_10_12]) ).
fof(normalize_10_15,plain,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_10_16,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_10_15]) ).
fof(normalize_10_17,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_10_18,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_10_17]) ).
fof(normalize_10_19,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_20,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_10_10]) ).
fof(normalize_10_21,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_10_12]) ).
fof(normalize_10_22,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_10_23,plain,
op1(e12,e10) != op1(e12,e12),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_24,plain,
op2(e20,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_10_17]) ).
fof(normalize_10_25,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_10_1]) ).
fof(normalize_10_26,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_27,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_10_10]) ).
fof(normalize_10_28,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_10_29,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(conjunct,[],[normalize_10_28]) ).
fof(normalize_10_30,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_31,plain,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_10_32,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(conjunct,[],[normalize_10_31]) ).
fof(normalize_10_33,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(conjunct,[],[normalize_10_31]) ).
fof(normalize_10_34,plain,
op1(e10,e10) != op1(e11,e10),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_35,plain,
( ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_10_36,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(conjunct,[],[normalize_10_35]) ).
fof(normalize_10_37,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_10_31]) ).
fof(normalize_10_38,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_10_10]) ).
fof(normalize_10_39,plain,
h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_40,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_10_28]) ).
fof(normalize_10_41,plain,
op1(e12,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_42,plain,
op1(e11,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_43,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_44,plain,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_10_45,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(conjunct,[],[normalize_10_44]) ).
fof(normalize_10_46,plain,
op1(e11,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_47,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_10_48,plain,
e10 != e12,
inference(conjunct,[],[normalize_10_47]) ).
fof(normalize_10_49,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_10_44]) ).
fof(normalize_10_50,plain,
( op1(e11,e11) != e13
| op1(e11,e13) = e11 ),
inference(conjunct,[],[normalize_10_35]) ).
fof(normalize_10_51,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_52,plain,
e11 != e13,
inference(conjunct,[],[normalize_10_47]) ).
fof(normalize_10_53,plain,
e12 != e13,
inference(conjunct,[],[normalize_10_47]) ).
fof(normalize_10_54,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(conjunct,[],[normalize_10_28]) ).
fof(normalize_10_55,plain,
( op1(e12,e12) != e10
| op1(e12,e10) = e12 ),
inference(conjunct,[],[normalize_10_35]) ).
fof(normalize_10_56,plain,
( ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_10_57,plain,
( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_10_56]) ).
fof(normalize_10_58,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_59,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_10_60,plain,
e21 != e23,
inference(conjunct,[],[normalize_10_59]) ).
fof(normalize_10_61,plain,
e20 != e21,
inference(conjunct,[],[normalize_10_59]) ).
fof(normalize_10_62,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_10_35]) ).
fof(normalize_10_63,plain,
e10 != e11,
inference(conjunct,[],[normalize_10_47]) ).
fof(normalize_10_64,plain,
e20 != e23,
inference(conjunct,[],[normalize_10_59]) ).
fof(normalize_10_65,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_10_66,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(conjunct,[],[normalize_10_65]) ).
fof(normalize_10_67,plain,
( op2(e22,e22) != e20
| op2(e22,e20) = e22 ),
inference(conjunct,[],[normalize_10_56]) ).
fof(normalize_10_68,plain,
op2(e22,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_10_17]) ).
fof(normalize_10_69,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e22 ),
inference(conjunct,[],[normalize_10_56]) ).
fof(normalize_10_70,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(conjunct,[],[normalize_10_15]) ).
fof(normalize_10_71,plain,
op2(e21,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_10_17]) ).
fof(normalize_10_72,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_10_15]) ).
fof(normalize_10_73,plain,
e22 != e23,
inference(conjunct,[],[normalize_10_59]) ).
fof(normalize_10_74,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_75,plain,
e20 != e22,
inference(conjunct,[],[normalize_10_59]) ).
fof(normalize_10_76,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_77,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(conjunct,[],[normalize_10_44]) ).
fof(normalize_10_78,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_79,plain,
op1(e11,e10) != op1(e11,e12),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_80,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_10_17]) ).
fof(normalize_10_81,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_10_17]) ).
fof(normalize_10_82,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_10_44]) ).
fof(normalize_10_83,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_10_22]) ).
fof(normalize_10_84,plain,
op2(e22,e21) != op2(e22,e22),
inference(conjunct,[],[normalize_10_17]) ).
fof(normalize_10_85,plain,
h4(op1(e12,e11)) = op2(h4(e12),h4(e11)),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_86,plain,
( op1(e12,e12) != e11
| op1(e12,e11) = e12 ),
inference(conjunct,[],[normalize_10_35]) ).
fof(normalize_10_87,plain,
op2(e21,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_10_17]) ).
fof(normalize_10_88,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(conjunct,[],[normalize_10_15]) ).
fof(normalize_10_89,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_10_17]) ).
fof(normalize_10_90,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_91,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_10_22]) ).
cnf(refute_10_0,plain,
h4(op1(e12,e12)) != op2(h4(e12),h4(e12)),
inference(canonicalize,[],[normalize_10_8]) ).
cnf(refute_10_1,plain,
h3(e11) = op2(e22,e22),
inference(canonicalize,[],[normalize_10_9]) ).
cnf(refute_10_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_10_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_10_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_10_2,refute_10_3]) ).
cnf(refute_10_5,plain,
( h3(e11) != op2(e22,e22)
| op2(e22,e22) = h3(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_10_6,plain,
op2(e22,e22) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_10_1,refute_10_5]) ).
cnf(refute_10_7,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_10_11]) ).
cnf(refute_10_8,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_10_13]) ).
cnf(refute_10_9,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_10_14]) ).
cnf(refute_10_10,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = e20 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_10_11,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_10_9,refute_10_10]) ).
cnf(refute_10_12,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
introduced(tautology,[refl,[$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_10_13,plain,
( op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) ),[1,1],$fot(e20)]]) ).
cnf(refute_10_14,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_10_12,refute_10_13]) ).
cnf(refute_10_15,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_10_11,refute_10_14]) ).
cnf(refute_10_16,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e20)) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_10_17,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_10_15,refute_10_16]) ).
cnf(refute_10_18,plain,
e22 = op2(e23,e20),
inference(resolve,[$cnf( $equal(e22,op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_10_8,refute_10_17]) ).
cnf(refute_10_19,plain,
( e22 != op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_10_20,plain,
op2(e23,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_10_18,refute_10_19]) ).
cnf(refute_10_21,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_10_22,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_10_4,refute_10_21]) ).
cnf(refute_10_23,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(subst,[],[refute_10_22:[bind(X,$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(e22))]]) ).
cnf(refute_10_24,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_10_15,refute_10_23]) ).
cnf(refute_10_25,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22,
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_10_20,refute_10_24]) ).
cnf(refute_10_26,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_10_27,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),e22) )],[refute_10_25,refute_10_26]) ).
cnf(refute_10_28,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_10_7,refute_10_27]) ).
cnf(refute_10_29,plain,
op2(e22,h4(e12)) = op2(e22,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e12)))]]) ).
cnf(refute_10_30,plain,
( h4(e12) != e22
| op2(e22,h4(e12)) != op2(e22,h4(e12))
| op2(e22,h4(e12)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_10_31,plain,
( h4(e12) != e22
| op2(e22,h4(e12)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,h4(e12))) )],[refute_10_29,refute_10_30]) ).
cnf(refute_10_32,plain,
op2(e22,h4(e12)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_28,refute_10_31]) ).
cnf(refute_10_33,plain,
op2(h4(e12),h4(e12)) = op2(h4(e12),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e12)))]]) ).
cnf(refute_10_34,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e12)) != op2(h4(e12),h4(e12))
| op2(h4(e12),h4(e12)) = op2(e22,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) ),[1,0],$fot(e22)]]) ).
cnf(refute_10_35,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e12)) = op2(e22,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) )],[refute_10_33,refute_10_34]) ).
cnf(refute_10_36,plain,
op2(h4(e12),h4(e12)) = op2(e22,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_28,refute_10_35]) ).
cnf(refute_10_37,plain,
( op2(e22,h4(e12)) != op2(e22,e22)
| op2(h4(e12),h4(e12)) != op2(e22,h4(e12))
| op2(h4(e12),h4(e12)) = op2(e22,e22) ),
inference(subst,[],[refute_10_22:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e22,h4(e12)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_10_38,plain,
( op2(e22,h4(e12)) != op2(e22,e22)
| op2(h4(e12),h4(e12)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e22,h4(e12))) )],[refute_10_36,refute_10_37]) ).
cnf(refute_10_39,plain,
op2(h4(e12),h4(e12)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,e22)) )],[refute_10_32,refute_10_38]) ).
cnf(refute_10_40,plain,
( op2(e22,e22) != h3(e11)
| op2(h4(e12),h4(e12)) != op2(e22,e22)
| op2(h4(e12),h4(e12)) = h3(e11) ),
inference(subst,[],[refute_10_22:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_10_41,plain,
( op2(e22,e22) != h3(e11)
| op2(h4(e12),h4(e12)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e22,e22)) )],[refute_10_39,refute_10_40]) ).
cnf(refute_10_42,plain,
op2(h4(e12),h4(e12)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_41]) ).
cnf(refute_10_43,plain,
( h4(op1(e12,e12)) != h3(e11)
| op2(h4(e12),h4(e12)) != h3(e11)
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e12)),op2(h4(e12),h4(e12))) ),[1],$fot(h3(e11))]]) ).
cnf(refute_10_44,plain,
( h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),h3(e11)) )],[refute_10_42,refute_10_43]) ).
cnf(refute_10_45,plain,
h4(op1(e12,e12)) != h3(e11),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),op2(h4(e12),h4(e12))) )],[refute_10_44,refute_10_0]) ).
cnf(refute_10_46,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_10_16]) ).
cnf(refute_10_47,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_10_48,plain,
( op2(e22,e22) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_47]) ).
cnf(refute_10_49,plain,
( h3(e11) = e22
| op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_10_46,refute_10_48]) ).
cnf(refute_10_50,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_10_18]) ).
cnf(refute_10_51,plain,
( e22 != op2(e23,e22)
| op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_10_52,plain,
( e22 != op2(e23,e22)
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_10_20,refute_10_51]) ).
cnf(refute_10_53,plain,
e22 != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_10_52,refute_10_50]) ).
cnf(refute_10_54,plain,
( op2(e23,e22) != e22
| e22 = op2(e23,e22) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(e22))]]) ).
cnf(refute_10_55,plain,
op2(e23,e22) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e22)) )],[refute_10_54,refute_10_53]) ).
cnf(refute_10_56,plain,
( h3(e11) = e22
| op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_10_49,refute_10_55]) ).
cnf(refute_10_57,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_10_19]) ).
cnf(refute_10_58,plain,
op2(e21,h4(e12)) = op2(e21,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).
cnf(refute_10_59,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) != op2(e21,h4(e12))
| op2(e21,h4(e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_10_60,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) )],[refute_10_58,refute_10_59]) ).
cnf(refute_10_61,plain,
op2(e21,h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_28,refute_10_60]) ).
cnf(refute_10_62,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_10_20]) ).
cnf(refute_10_63,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_10_21]) ).
cnf(refute_10_64,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_10_65,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_10_63,refute_10_64]) ).
cnf(refute_10_66,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_10_67,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_65,refute_10_66]) ).
cnf(refute_10_68,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_10_62,refute_10_67]) ).
cnf(refute_10_69,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_10_70,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(e21)]]) ).
cnf(refute_10_71,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_10_69,refute_10_70]) ).
cnf(refute_10_72,plain,
op2(h4(e11),h4(e12)) = op2(e21,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_10_68,refute_10_71]) ).
cnf(refute_10_73,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) != op2(e21,h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(subst,[],[refute_10_22:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).
cnf(refute_10_74,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,h4(e12))) )],[refute_10_72,refute_10_73]) ).
cnf(refute_10_75,plain,
op2(h4(e11),h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e22)) )],[refute_10_61,refute_10_74]) ).
cnf(refute_10_76,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(e21,e22)
| h4(op1(e11,e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_10_77,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,e22)) )],[refute_10_75,refute_10_76]) ).
cnf(refute_10_78,plain,
h4(op1(e11,e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_10_57,refute_10_77]) ).
cnf(refute_10_79,plain,
op1(e12,e10) != op1(e12,e12),
inference(canonicalize,[],[normalize_10_23]) ).
cnf(refute_10_80,plain,
op2(e20,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_10_24]) ).
cnf(refute_10_81,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_10_25]) ).
cnf(refute_10_82,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_10_83,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_10_81,refute_10_82]) ).
cnf(refute_10_84,plain,
( h1(e11) != op2(e22,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_10_85,plain,
( h1(e11) != op2(e22,e20)
| op2(e20,e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_83,refute_10_84]) ).
cnf(refute_10_86,plain,
h1(e11) != op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e22,e20)) )],[refute_10_85,refute_10_80]) ).
cnf(refute_10_87,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_10_26]) ).
cnf(refute_10_88,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_10_27]) ).
cnf(refute_10_89,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_10_90,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_10_11,refute_10_89]) ).
cnf(refute_10_91,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_10_88,refute_10_90]) ).
cnf(refute_10_92,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_10_93,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_10_94,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_10_92,refute_10_93]) ).
cnf(refute_10_95,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_91,refute_10_94]) ).
cnf(refute_10_96,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_10_97,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_10_98,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_10_96,refute_10_97]) ).
cnf(refute_10_99,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_91,refute_10_98]) ).
cnf(refute_10_100,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_10_22:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_10_101,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_10_99,refute_10_100]) ).
cnf(refute_10_102,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_10_95,refute_10_101]) ).
cnf(refute_10_103,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_10_22:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_10_104,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_10_102,refute_10_103]) ).
cnf(refute_10_105,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_83,refute_10_104]) ).
cnf(refute_10_106,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_10_107,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_10_105,refute_10_106]) ).
cnf(refute_10_108,plain,
h4(op1(e10,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_10_87,refute_10_107]) ).
cnf(refute_10_109,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(canonicalize,[],[normalize_10_29]) ).
cnf(refute_10_110,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_10_30]) ).
cnf(refute_10_111,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(canonicalize,[],[normalize_10_32]) ).
cnf(refute_10_112,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(canonicalize,[],[normalize_10_33]) ).
cnf(refute_10_113,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = e10 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_10_114,plain,
op1(op1(e13,e13),op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_10_112,refute_10_113]) ).
cnf(refute_10_115,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
introduced(tautology,[refl,[$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_10_116,plain,
( op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) ),[1,1],$fot(e10)]]) ).
cnf(refute_10_117,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_10_115,refute_10_116]) ).
cnf(refute_10_118,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e10) )],[refute_10_114,refute_10_117]) ).
cnf(refute_10_119,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,e10)
| e12 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e10)) ),[0],$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_10_120,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| e12 = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,e10)) )],[refute_10_118,refute_10_119]) ).
cnf(refute_10_121,plain,
e12 = op1(e13,e10),
inference(resolve,[$cnf( $equal(e12,op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_10_111,refute_10_120]) ).
cnf(refute_10_122,plain,
( e12 != op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e10)))]]) ).
cnf(refute_10_123,plain,
op1(e13,e10) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e10)) )],[refute_10_121,refute_10_122]) ).
cnf(refute_10_124,plain,
( op1(e10,e10) != e12
| op1(e13,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_10_125,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_10_123,refute_10_124]) ).
cnf(refute_10_126,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_10_125,refute_10_110]) ).
cnf(refute_10_127,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_10_109,refute_10_126]) ).
cnf(refute_10_128,plain,
op1(e10,e10) != op1(e11,e10),
inference(canonicalize,[],[normalize_10_34]) ).
cnf(refute_10_129,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(canonicalize,[],[normalize_10_36]) ).
cnf(refute_10_130,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_10_37]) ).
cnf(refute_10_131,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_10_132,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_10_130,refute_10_131]) ).
cnf(refute_10_133,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_10_134,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_10_135,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_10_133,refute_10_134]) ).
cnf(refute_10_136,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_132,refute_10_135]) ).
cnf(refute_10_137,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_10_138,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_10_139,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_10_137,refute_10_138]) ).
cnf(refute_10_140,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_132,refute_10_139]) ).
cnf(refute_10_141,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_10_22:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_10_142,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_10_140,refute_10_141]) ).
cnf(refute_10_143,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_10_136,refute_10_142]) ).
cnf(refute_10_144,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_10_145,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| e10 = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_10_143,refute_10_144]) ).
cnf(refute_10_146,plain,
e10 = op1(e11,e11),
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_10_112,refute_10_145]) ).
cnf(refute_10_147,plain,
( e10 != op1(e11,e11)
| op1(e11,e11) = e10 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e11)))]]) ).
cnf(refute_10_148,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_10_146,refute_10_147]) ).
cnf(refute_10_149,plain,
( e10 != e10
| op1(e11,e11) != e10
| op1(e11,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(e10)]]) ).
cnf(refute_10_150,plain,
( e10 != e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_10_148,refute_10_149]) ).
cnf(refute_10_151,plain,
( e10 != e10
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_10_150,refute_10_129]) ).
cnf(refute_10_152,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_10_153,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_10_152,refute_10_151]) ).
cnf(refute_10_154,plain,
( op1(e10,e10) != e11
| op1(e11,e10) != e11
| op1(e10,e10) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e11,e10)) ),[1],$fot(e11)]]) ).
cnf(refute_10_155,plain,
( op1(e10,e10) != e11
| op1(e10,e10) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_10_153,refute_10_154]) ).
cnf(refute_10_156,plain,
op1(e10,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e11,e10)) )],[refute_10_155,refute_10_128]) ).
cnf(refute_10_157,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_10_127,refute_10_156]) ).
cnf(refute_10_158,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e13
| h4(e13) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_10_159,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e13) = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_10_157,refute_10_158]) ).
cnf(refute_10_160,plain,
( h4(e13) = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_10_108,refute_10_159]) ).
cnf(refute_10_161,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_10_38]) ).
cnf(refute_10_162,plain,
( h4(e13) != e23
| h4(e13) != h1(e11)
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h1(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_10_163,plain,
( h4(e13) != h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_10_161,refute_10_162]) ).
cnf(refute_10_164,plain,
( e23 = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e13),h1(e11)) )],[refute_10_160,refute_10_163]) ).
cnf(refute_10_165,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e10
| h4(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e10)]]) ).
cnf(refute_10_166,plain,
( h4(op1(e10,e10)) != h1(e11)
| e23 = h1(e11)
| h4(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_10_164,refute_10_165]) ).
cnf(refute_10_167,plain,
( e23 = h1(e11)
| h4(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_10_108,refute_10_166]) ).
cnf(refute_10_168,plain,
( h4(e10) != e20
| h4(e10) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),h1(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_10_169,plain,
( h4(e10) != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_91,refute_10_168]) ).
cnf(refute_10_170,plain,
( e20 = h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_10_167,refute_10_169]) ).
cnf(refute_10_171,plain,
( e20 != h1(e11)
| h1(e11) = e20 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e20)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_10_172,plain,
( e23 = h1(e11)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_10_170,refute_10_171]) ).
cnf(refute_10_173,plain,
( e20 != op2(e22,e20)
| h1(e11) != e20
| h1(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_10_174,plain,
( e20 != op2(e22,e20)
| e23 = h1(e11)
| h1(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_10_172,refute_10_173]) ).
cnf(refute_10_175,plain,
( e20 != op2(e22,e20)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e22,e20)) )],[refute_10_174,refute_10_86]) ).
cnf(refute_10_176,plain,
h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
inference(canonicalize,[],[normalize_10_39]) ).
cnf(refute_10_177,plain,
op2(e22,h4(e10)) = op2(e22,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e10)))]]) ).
cnf(refute_10_178,plain,
( h4(e10) != e20
| op2(e22,h4(e10)) != op2(e22,h4(e10))
| op2(e22,h4(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_10_179,plain,
( h4(e10) != e20
| op2(e22,h4(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,h4(e10))) )],[refute_10_177,refute_10_178]) ).
cnf(refute_10_180,plain,
op2(e22,h4(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_91,refute_10_179]) ).
cnf(refute_10_181,plain,
op2(h4(e12),h4(e10)) = op2(h4(e12),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_10_182,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) = op2(e22,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) ),[1,0],$fot(e22)]]) ).
cnf(refute_10_183,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e10)) = op2(e22,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) )],[refute_10_181,refute_10_182]) ).
cnf(refute_10_184,plain,
op2(h4(e12),h4(e10)) = op2(e22,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_28,refute_10_183]) ).
cnf(refute_10_185,plain,
( op2(e22,h4(e10)) != op2(e22,e20)
| op2(h4(e12),h4(e10)) != op2(e22,h4(e10))
| op2(h4(e12),h4(e10)) = op2(e22,e20) ),
inference(subst,[],[refute_10_22:[bind(X,$fot(op2(h4(e12),h4(e10)))),bind(Y,$fot(op2(e22,h4(e10)))),bind(Z,$fot(op2(e22,e20)))]]) ).
cnf(refute_10_186,plain,
( op2(e22,h4(e10)) != op2(e22,e20)
| op2(h4(e12),h4(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e22,h4(e10))) )],[refute_10_184,refute_10_185]) ).
cnf(refute_10_187,plain,
op2(h4(e12),h4(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,e20)) )],[refute_10_180,refute_10_186]) ).
cnf(refute_10_188,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) != op2(e22,e20)
| h4(op1(e12,e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e22,e20)) ),[0],$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_10_189,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e22,e20)) )],[refute_10_187,refute_10_188]) ).
cnf(refute_10_190,plain,
h4(op1(e12,e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) )],[refute_10_176,refute_10_189]) ).
cnf(refute_10_191,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_10_40]) ).
cnf(refute_10_192,plain,
op1(e12,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_10_41]) ).
cnf(refute_10_193,plain,
( op1(e12,e10) != e12
| op1(e13,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_10_194,plain,
( op1(e12,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_10_123,refute_10_193]) ).
cnf(refute_10_195,plain,
op1(e12,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e13,e10)) )],[refute_10_194,refute_10_192]) ).
cnf(refute_10_196,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_10_191,refute_10_195]) ).
cnf(refute_10_197,plain,
op1(e11,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_10_42]) ).
cnf(refute_10_198,plain,
( e11 != op1(e12,e10)
| op1(e11,e10) != e11
| op1(e11,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_10_199,plain,
( e11 != op1(e12,e10)
| op1(e11,e10) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_10_153,refute_10_198]) ).
cnf(refute_10_200,plain,
e11 != op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,e10)) )],[refute_10_199,refute_10_197]) ).
cnf(refute_10_201,plain,
( op1(e12,e10) != e11
| e11 = op1(e12,e10) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op1(e12,e10))),bind(Y,$fot(e11))]]) ).
cnf(refute_10_202,plain,
op1(e12,e10) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e10)) )],[refute_10_201,refute_10_200]) ).
cnf(refute_10_203,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_10_196,refute_10_202]) ).
cnf(refute_10_204,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| op1(e12,e10) != e10
| h4(e10) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),op2(e22,e20)) ),[0,0],$fot(e10)]]) ).
cnf(refute_10_205,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| h4(e10) = op2(e22,e20)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_10_203,refute_10_204]) ).
cnf(refute_10_206,plain,
( h4(e10) = op2(e22,e20)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e22,e20)) )],[refute_10_190,refute_10_205]) ).
cnf(refute_10_207,plain,
( h4(e10) != e20
| h4(e10) != op2(e22,e20)
| e20 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e22,e20)) ),[0],$fot(e20)]]) ).
cnf(refute_10_208,plain,
( h4(e10) != op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_91,refute_10_207]) ).
cnf(refute_10_209,plain,
( e20 = op2(e22,e20)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e22,e20)) )],[refute_10_206,refute_10_208]) ).
cnf(refute_10_210,plain,
( e20 != op2(e22,e20)
| op2(e22,e20) = e20 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_10_211,plain,
( op1(e12,e10) = e13
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e20)) )],[refute_10_209,refute_10_210]) ).
cnf(refute_10_212,plain,
( e20 != e20
| op2(e22,e20) != e20
| e20 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_10_213,plain,
( e20 != e20
| e20 = op2(e22,e20)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_10_211,refute_10_212]) ).
cnf(refute_10_214,plain,
( e20 != e20
| e23 = h1(e11)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e20)) )],[refute_10_213,refute_10_175]) ).
cnf(refute_10_215,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_10_216,plain,
( e23 = h1(e11)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_10_215,refute_10_214]) ).
cnf(refute_10_217,plain,
( e13 != op1(e12,e12)
| op1(e12,e10) != e13
| op1(e12,e10) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e13) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_10_218,plain,
( e13 != op1(e12,e12)
| e23 = h1(e11)
| op1(e12,e10) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_10_216,refute_10_217]) ).
cnf(refute_10_219,plain,
( e13 != op1(e12,e12)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_10_218,refute_10_79]) ).
cnf(refute_10_220,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_10_43]) ).
cnf(refute_10_221,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(canonicalize,[],[normalize_10_45]) ).
cnf(refute_10_222,plain,
op1(e11,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_10_46]) ).
cnf(refute_10_223,plain,
( op1(e11,e10) != e12
| op1(e13,e10) != e12
| op1(e11,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_10_224,plain,
( op1(e11,e10) != e12
| op1(e11,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_10_123,refute_10_223]) ).
cnf(refute_10_225,plain,
op1(e11,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e13,e10)) )],[refute_10_224,refute_10_222]) ).
cnf(refute_10_226,plain,
( op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_10_221,refute_10_225]) ).
cnf(refute_10_227,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_10_228,plain,
( op1(e11,e11) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_10_148,refute_10_227]) ).
cnf(refute_10_229,plain,
( e10 = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_10_226,refute_10_228]) ).
cnf(refute_10_230,plain,
e10 != e12,
inference(canonicalize,[],[normalize_10_48]) ).
cnf(refute_10_231,plain,
( op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_10_229,refute_10_230]) ).
cnf(refute_10_232,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_10_49]) ).
cnf(refute_10_233,plain,
( op1(e11,e11) != e13
| op1(e11,e13) = e11 ),
inference(canonicalize,[],[normalize_10_50]) ).
cnf(refute_10_234,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_10_51]) ).
cnf(refute_10_235,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_10_236,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_132,refute_10_235]) ).
cnf(refute_10_237,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_10_236,refute_10_234]) ).
cnf(refute_10_238,plain,
op1(e11,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_10_233,refute_10_237]) ).
cnf(refute_10_239,plain,
( op1(e11,e10) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_10_232,refute_10_238]) ).
cnf(refute_10_240,plain,
( op1(e11,e10) != e11
| op1(e11,e10) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e13) ),[0],$fot(e11)]]) ).
cnf(refute_10_241,plain,
( op1(e11,e10) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_10_153,refute_10_240]) ).
cnf(refute_10_242,plain,
( e11 = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_10_239,refute_10_241]) ).
cnf(refute_10_243,plain,
e11 != e13,
inference(canonicalize,[],[normalize_10_52]) ).
cnf(refute_10_244,plain,
( op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_10_242,refute_10_243]) ).
cnf(refute_10_245,plain,
( op1(e11,e13) != e12
| op1(e11,e13) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e12) ),[0],$fot(e13)]]) ).
cnf(refute_10_246,plain,
( op1(e11,e13) != e12
| e13 = e12
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_10_244,refute_10_245]) ).
cnf(refute_10_247,plain,
( e13 = e12
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_10_231,refute_10_246]) ).
cnf(refute_10_248,plain,
e12 != e13,
inference(canonicalize,[],[normalize_10_53]) ).
cnf(refute_10_249,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_10_250,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_10_249,refute_10_248]) ).
cnf(refute_10_251,plain,
( op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_10_247,refute_10_250]) ).
cnf(refute_10_252,plain,
( e12 != op1(e12,e12)
| op1(e11,e12) != e12
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_10_253,plain,
( e12 != op1(e12,e12)
| op1(e11,e12) = e13
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_10_251,refute_10_252]) ).
cnf(refute_10_254,plain,
( e12 != op1(e12,e12)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_10_253,refute_10_220]) ).
cnf(refute_10_255,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(canonicalize,[],[normalize_10_54]) ).
cnf(refute_10_256,plain,
( op1(e12,e12) != e10
| op1(e12,e10) = e12 ),
inference(canonicalize,[],[normalize_10_55]) ).
cnf(refute_10_257,plain,
op1(e12,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_10_256,refute_10_195]) ).
cnf(refute_10_258,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_10_255,refute_10_257]) ).
cnf(refute_10_259,plain,
( e12 != e12
| op1(e12,e12) != e12
| e12 = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e12,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_10_260,plain,
( e12 != e12
| e12 = op1(e12,e12)
| op1(e12,e12) = e11
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_10_258,refute_10_259]) ).
cnf(refute_10_261,plain,
( e12 != e12
| op1(e11,e12) = e13
| op1(e12,e12) = e11
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(e12,op1(e12,e12)) )],[refute_10_260,refute_10_254]) ).
cnf(refute_10_262,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_10_263,plain,
( op1(e11,e12) = e13
| op1(e12,e12) = e11
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_10_262,refute_10_261]) ).
cnf(refute_10_264,plain,
( e13 != e13
| op1(e12,e12) != e13
| e13 = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_10_265,plain,
( e13 != e13
| e13 = op1(e12,e12)
| op1(e11,e12) = e13
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_10_263,refute_10_264]) ).
cnf(refute_10_266,plain,
( e13 != e13
| e23 = h1(e11)
| op1(e11,e12) = e13
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_10_265,refute_10_219]) ).
cnf(refute_10_267,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_10_268,plain,
( e23 = h1(e11)
| op1(e11,e12) = e13
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_10_267,refute_10_266]) ).
cnf(refute_10_269,plain,
( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_10_57]) ).
cnf(refute_10_270,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_10_271,plain,
( op2(e20,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_83,refute_10_270]) ).
cnf(refute_10_272,plain,
( h1(e11) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_10_269,refute_10_271]) ).
cnf(refute_10_273,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_10_58]) ).
cnf(refute_10_274,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_10_275,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_10_273,refute_10_274]) ).
cnf(refute_10_276,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e11)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_10_277,plain,
( op2(e21,e21) != e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_10_275,refute_10_276]) ).
cnf(refute_10_278,plain,
( h1(e11) = e20
| h2(e11) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_10_272,refute_10_277]) ).
cnf(refute_10_279,plain,
( h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_10_278,refute_10_48]) ).
cnf(refute_10_280,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e21)]]) ).
cnf(refute_10_281,plain,
( op2(e23,e23) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_65,refute_10_280]) ).
cnf(refute_10_282,plain,
( e21 = e23
| h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_10_279,refute_10_281]) ).
cnf(refute_10_283,plain,
e21 != e23,
inference(canonicalize,[],[normalize_10_60]) ).
cnf(refute_10_284,plain,
( h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_10_282,refute_10_283]) ).
cnf(refute_10_285,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_10_286,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_10_287,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_10_285,refute_10_286]) ).
cnf(refute_10_288,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_65,refute_10_287]) ).
cnf(refute_10_289,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_10_290,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_10_291,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_10_289,refute_10_290]) ).
cnf(refute_10_292,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_65,refute_10_291]) ).
cnf(refute_10_293,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_10_22:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_10_294,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_10_292,refute_10_293]) ).
cnf(refute_10_295,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_10_288,refute_10_294]) ).
cnf(refute_10_296,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_10_22:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_10_297,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_10_295,refute_10_296]) ).
cnf(refute_10_298,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_10_275,refute_10_297]) ).
cnf(refute_10_299,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| e20 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e11)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_10_300,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_10_298,refute_10_299]) ).
cnf(refute_10_301,plain,
e20 = h2(e11),
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_10_9,refute_10_300]) ).
cnf(refute_10_302,plain,
( e20 != h2(e11)
| h2(e11) = e20 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e20)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_10_303,plain,
h2(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h2(e11)) )],[refute_10_301,refute_10_302]) ).
cnf(refute_10_304,plain,
( h2(e11) != e20
| h2(e11) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e21) ),[0],$fot(e20)]]) ).
cnf(refute_10_305,plain,
( h2(e11) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_10_303,refute_10_304]) ).
cnf(refute_10_306,plain,
( e20 = e21
| h1(e11) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_10_284,refute_10_305]) ).
cnf(refute_10_307,plain,
e20 != e21,
inference(canonicalize,[],[normalize_10_61]) ).
cnf(refute_10_308,plain,
( h1(e11) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_10_306,refute_10_307]) ).
cnf(refute_10_309,plain,
( h3(e11) != e22
| h4(op1(e12,e12)) != e22
| h4(op1(e12,e12)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e12)),h3(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_10_310,plain,
( h4(op1(e12,e12)) != e22
| h1(e11) = e20
| h4(op1(e12,e12)) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_10_308,refute_10_309]) ).
cnf(refute_10_311,plain,
( h4(op1(e12,e12)) != e22
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h3(e11)) )],[refute_10_310,refute_10_45]) ).
cnf(refute_10_312,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_10_62]) ).
cnf(refute_10_313,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_10_314,plain,
( op1(e13,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_132,refute_10_313]) ).
cnf(refute_10_315,plain,
( e11 = e13
| op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_10_312,refute_10_314]) ).
cnf(refute_10_316,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_10_315,refute_10_243]) ).
cnf(refute_10_317,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e11) ),[0],$fot(e10)]]) ).
cnf(refute_10_318,plain,
( op1(e11,e11) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_10_148,refute_10_317]) ).
cnf(refute_10_319,plain,
( e10 = e11
| op1(e10,e10) = e10
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e11) )],[refute_10_316,refute_10_318]) ).
cnf(refute_10_320,plain,
e10 != e11,
inference(canonicalize,[],[normalize_10_63]) ).
cnf(refute_10_321,plain,
( op1(e10,e10) = e10
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_10_319,refute_10_320]) ).
cnf(refute_10_322,plain,
( h4(e12) != e22
| op1(e12,e12) != e12
| h4(op1(e12,e12)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e12)),e22) ),[0,0],$fot(e12)]]) ).
cnf(refute_10_323,plain,
( h4(e12) != e22
| h4(op1(e12,e12)) = e22
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_10_321,refute_10_322]) ).
cnf(refute_10_324,plain,
( h4(e12) != e22
| h1(e11) = e20
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),e22) )],[refute_10_323,refute_10_311]) ).
cnf(refute_10_325,plain,
( e22 != e22
| h4(e12) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[1],$fot(e22)]]) ).
cnf(refute_10_326,plain,
( e22 != e22
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_28,refute_10_325]) ).
cnf(refute_10_327,plain,
( e22 != e22
| h1(e11) = e20
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_326,refute_10_324]) ).
cnf(refute_10_328,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_10_329,plain,
( h1(e11) = e20
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_10_328,refute_10_327]) ).
cnf(refute_10_330,plain,
( h4(op1(e10,e10)) != h1(e11)
| h1(e11) = e20
| h4(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_10_329,refute_10_165]) ).
cnf(refute_10_331,plain,
( h1(e11) = e20
| h4(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_10_108,refute_10_330]) ).
cnf(refute_10_332,plain,
( e20 = h1(e11)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e11)) )],[refute_10_331,refute_10_169]) ).
cnf(refute_10_333,plain,
( h1(e11) != e20
| e20 = h1(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(e20))]]) ).
cnf(refute_10_334,plain,
e20 = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_10_332,refute_10_333]) ).
cnf(refute_10_335,plain,
h1(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_10_334,refute_10_171]) ).
cnf(refute_10_336,plain,
( e23 != h1(e11)
| h1(e11) != e20
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_10_337,plain,
( e23 != h1(e11)
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_10_335,refute_10_336]) ).
cnf(refute_10_338,plain,
( e23 = e20
| op1(e11,e12) = e13
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_10_268,refute_10_337]) ).
cnf(refute_10_339,plain,
e20 != e23,
inference(canonicalize,[],[normalize_10_64]) ).
cnf(refute_10_340,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_10_341,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_10_340,refute_10_339]) ).
cnf(refute_10_342,plain,
( op1(e11,e12) = e13
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_10_338,refute_10_341]) ).
cnf(refute_10_343,plain,
( h4(e11) != h3(e11)
| op1(e12,e12) != e11
| h4(op1(e12,e12)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e12)),h3(e11)) ),[0,0],$fot(e11)]]) ).
cnf(refute_10_344,plain,
( h4(e11) != h3(e11)
| h4(op1(e12,e12)) = h3(e11)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_10_342,refute_10_343]) ).
cnf(refute_10_345,plain,
( h4(e11) != h3(e11)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h3(e11)) )],[refute_10_344,refute_10_45]) ).
cnf(refute_10_346,plain,
( e21 != h3(e11)
| h4(e11) != e21
| h4(e11) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(h3(e11))]]) ).
cnf(refute_10_347,plain,
( e21 != h3(e11)
| h4(e11) = h3(e11) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_10_68,refute_10_346]) ).
cnf(refute_10_348,plain,
( e21 != h3(e11)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(h4(e11),h3(e11)) )],[refute_10_347,refute_10_345]) ).
cnf(refute_10_349,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(canonicalize,[],[normalize_10_66]) ).
cnf(refute_10_350,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_10_351,plain,
( op2(e22,e22) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_350]) ).
cnf(refute_10_352,plain,
( h3(e11) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_10_349,refute_10_351]) ).
cnf(refute_10_353,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_10_354,plain,
( op2(e22,e22) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_353]) ).
cnf(refute_10_355,plain,
( h3(e11) = e20
| h3(e11) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_10_352,refute_10_354]) ).
cnf(refute_10_356,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_10_355,refute_10_48]) ).
cnf(refute_10_357,plain,
( op2(e22,e22) != e23
| op2(e22,e22) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_10_358,plain,
( op2(e22,e22) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_357]) ).
cnf(refute_10_359,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_10_356,refute_10_358]) ).
cnf(refute_10_360,plain,
( op2(e22,e22) != e20
| op2(e22,e20) = e22 ),
inference(canonicalize,[],[normalize_10_67]) ).
cnf(refute_10_361,plain,
( h3(e11) != e20
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_10_362,plain,
( h3(e11) != e20
| op2(e22,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_361]) ).
cnf(refute_10_363,plain,
( h3(e11) != e20
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_10_362,refute_10_360]) ).
cnf(refute_10_364,plain,
op2(e22,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_10_68]) ).
cnf(refute_10_365,plain,
( op2(e22,e20) != e22
| op2(e23,e20) != e22
| op2(e22,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_10_366,plain,
( op2(e22,e20) != e22
| op2(e22,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_10_20,refute_10_365]) ).
cnf(refute_10_367,plain,
op2(e22,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e23,e20)) )],[refute_10_366,refute_10_364]) ).
cnf(refute_10_368,plain,
h3(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_10_363,refute_10_367]) ).
cnf(refute_10_369,plain,
( h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_10_359,refute_10_368]) ).
cnf(refute_10_370,plain,
( e21 != e21
| h3(e11) != e21
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h3(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_10_371,plain,
( e21 != e21
| e21 = h3(e11)
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_10_369,refute_10_370]) ).
cnf(refute_10_372,plain,
( e21 != e21
| h3(e11) = e22
| h3(e11) = e23
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_10_371,refute_10_348]) ).
cnf(refute_10_373,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_10_374,plain,
( h3(e11) = e22
| h3(e11) = e23
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_10_373,refute_10_372]) ).
cnf(refute_10_375,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e22 ),
inference(canonicalize,[],[normalize_10_69]) ).
cnf(refute_10_376,plain,
( h3(e11) != e23
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_10_377,plain,
( h3(e11) != e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_376]) ).
cnf(refute_10_378,plain,
( h3(e11) != e23
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_10_377,refute_10_375]) ).
cnf(refute_10_379,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(canonicalize,[],[normalize_10_70]) ).
cnf(refute_10_380,plain,
( h3(e11) = e20
| op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_10_379,refute_10_351]) ).
cnf(refute_10_381,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_10_380,refute_10_368]) ).
cnf(refute_10_382,plain,
op2(e21,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_10_71]) ).
cnf(refute_10_383,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_10_384,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_10_275,refute_10_383]) ).
cnf(refute_10_385,plain,
h2(e11) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_10_384,refute_10_382]) ).
cnf(refute_10_386,plain,
( e20 != op2(e22,e21)
| h2(e11) != e20
| h2(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_10_387,plain,
( e20 != op2(e22,e21)
| h2(e11) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_10_303,refute_10_386]) ).
cnf(refute_10_388,plain,
e20 != op2(e22,e21),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e21)) )],[refute_10_387,refute_10_385]) ).
cnf(refute_10_389,plain,
( op2(e22,e21) != e20
| e20 = op2(e22,e21) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op2(e22,e21))),bind(Y,$fot(e20))]]) ).
cnf(refute_10_390,plain,
op2(e22,e21) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_10_389,refute_10_388]) ).
cnf(refute_10_391,plain,
( op2(e22,e20) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_10_381,refute_10_390]) ).
cnf(refute_10_392,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_10_72]) ).
cnf(refute_10_393,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_10_394,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_10_83,refute_10_393]) ).
cnf(refute_10_395,plain,
( h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_10_392,refute_10_394]) ).
cnf(refute_10_396,plain,
( op2(e23,e20) != e22
| op2(e23,e20) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e23) ),[0],$fot(e22)]]) ).
cnf(refute_10_397,plain,
( op2(e23,e20) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_10_20,refute_10_396]) ).
cnf(refute_10_398,plain,
( e22 = e23
| h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_10_395,refute_10_397]) ).
cnf(refute_10_399,plain,
e22 != e23,
inference(canonicalize,[],[normalize_10_73]) ).
cnf(refute_10_400,plain,
( h1(e11) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_10_398,refute_10_399]) ).
cnf(refute_10_401,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(canonicalize,[],[normalize_10_74]) ).
cnf(refute_10_402,plain,
op2(e21,h4(e10)) = op2(e21,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e10)))]]) ).
cnf(refute_10_403,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) != op2(e21,h4(e10))
| op2(e21,h4(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_10_404,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) )],[refute_10_402,refute_10_403]) ).
cnf(refute_10_405,plain,
op2(e21,h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_91,refute_10_404]) ).
cnf(refute_10_406,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_10_407,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_10_408,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_10_406,refute_10_407]) ).
cnf(refute_10_409,plain,
op2(h4(e11),h4(e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_10_68,refute_10_408]) ).
cnf(refute_10_410,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) != op2(e21,h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(subst,[],[refute_10_22:[bind(X,$fot(op2(h4(e11),h4(e10)))),bind(Y,$fot(op2(e21,h4(e10)))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_10_411,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,h4(e10))) )],[refute_10_409,refute_10_410]) ).
cnf(refute_10_412,plain,
op2(h4(e11),h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,e20)) )],[refute_10_405,refute_10_411]) ).
cnf(refute_10_413,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) != op2(e21,e20)
| h4(op1(e11,e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[0],$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_10_414,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,e20)) )],[refute_10_412,refute_10_413]) ).
cnf(refute_10_415,plain,
h4(op1(e11,e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_10_401,refute_10_414]) ).
cnf(refute_10_416,plain,
h4(op1(e11,e10)) = h4(op1(e11,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e10)))]]) ).
cnf(refute_10_417,plain,
( h4(op1(e11,e10)) != h4(op1(e11,e10))
| op1(e11,e10) != e11
| h4(op1(e11,e10)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e11,e10))) ),[1,0],$fot(e11)]]) ).
cnf(refute_10_418,plain,
( op1(e11,e10) != e11
| h4(op1(e11,e10)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e11,e10))) )],[refute_10_416,refute_10_417]) ).
cnf(refute_10_419,plain,
h4(op1(e11,e10)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_10_153,refute_10_418]) ).
cnf(refute_10_420,plain,
( h4(e11) != e21
| h4(op1(e11,e10)) != h4(e11)
| h4(op1(e11,e10)) = e21 ),
inference(subst,[],[refute_10_22:[bind(X,$fot(h4(op1(e11,e10)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_10_421,plain,
( h4(e11) != e21
| h4(op1(e11,e10)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(e11)) )],[refute_10_419,refute_10_420]) ).
cnf(refute_10_422,plain,
h4(op1(e11,e10)) = e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_10_68,refute_10_421]) ).
cnf(refute_10_423,plain,
( h4(op1(e11,e10)) != e21
| h4(op1(e11,e10)) != op2(e21,e20)
| e21 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[0],$fot(e21)]]) ).
cnf(refute_10_424,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| e21 = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),e21) )],[refute_10_422,refute_10_423]) ).
cnf(refute_10_425,plain,
e21 = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) )],[refute_10_415,refute_10_424]) ).
cnf(refute_10_426,plain,
( e21 != op2(e21,e20)
| op2(e21,e20) = e21 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_10_427,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_10_425,refute_10_426]) ).
cnf(refute_10_428,plain,
( op2(e21,e20) != e21
| op2(e21,e20) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[0],$fot(e21)]]) ).
cnf(refute_10_429,plain,
( op2(e21,e20) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_10_427,refute_10_428]) ).
cnf(refute_10_430,plain,
( e21 = e23
| h1(e11) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_10_400,refute_10_429]) ).
cnf(refute_10_431,plain,
( h1(e11) = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_10_430,refute_10_283]) ).
cnf(refute_10_432,plain,
( h1(e11) != e20
| h1(e11) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[0],$fot(e20)]]) ).
cnf(refute_10_433,plain,
( h1(e11) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_10_335,refute_10_432]) ).
cnf(refute_10_434,plain,
( e20 = e23
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_10_431,refute_10_433]) ).
cnf(refute_10_435,plain,
op2(e22,e20) = e23,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_10_434,refute_10_339]) ).
cnf(refute_10_436,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(e23)]]) ).
cnf(refute_10_437,plain,
( op2(e22,e20) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_10_435,refute_10_436]) ).
cnf(refute_10_438,plain,
( e23 = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_10_391,refute_10_437]) ).
cnf(refute_10_439,plain,
op2(e22,e23) = e20,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_10_438,refute_10_341]) ).
cnf(refute_10_440,plain,
( op2(e22,e23) != e20
| op2(e22,e23) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e22) ),[0],$fot(e20)]]) ).
cnf(refute_10_441,plain,
( op2(e22,e23) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_10_439,refute_10_440]) ).
cnf(refute_10_442,plain,
( h3(e11) != e23
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_10_378,refute_10_441]) ).
cnf(refute_10_443,plain,
e20 != e22,
inference(canonicalize,[],[normalize_10_75]) ).
cnf(refute_10_444,plain,
h3(e11) != e23,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_10_442,refute_10_443]) ).
cnf(refute_10_445,plain,
( h3(e11) = e22
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_10_374,refute_10_444]) ).
cnf(refute_10_446,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| op1(e11,e12) != e13
| h4(e13) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0,0],$fot(e13)]]) ).
cnf(refute_10_447,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| h3(e11) = e22
| h4(e13) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_10_445,refute_10_446]) ).
cnf(refute_10_448,plain,
( h3(e11) = e22
| h4(e13) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_10_78,refute_10_447]) ).
cnf(refute_10_449,plain,
( h4(e13) != e23
| h4(e13) != op2(e21,e22)
| e23 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e21,e22)) ),[0],$fot(e23)]]) ).
cnf(refute_10_450,plain,
( h4(e13) != op2(e21,e22)
| e23 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_10_161,refute_10_449]) ).
cnf(refute_10_451,plain,
( e23 = op2(e21,e22)
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,e22)) )],[refute_10_448,refute_10_450]) ).
cnf(refute_10_452,plain,
( e23 != op2(e21,e22)
| op2(e21,e22) = e23 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_10_453,plain,
( h3(e11) = e22
| op2(e21,e22) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e22)) )],[refute_10_451,refute_10_452]) ).
cnf(refute_10_454,plain,
( op2(e21,e22) != e22
| op2(e21,e22) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e23)]]) ).
cnf(refute_10_455,plain,
( op2(e21,e22) != e22
| e23 = e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_10_453,refute_10_454]) ).
cnf(refute_10_456,plain,
( e23 = e22
| h3(e11) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_10_56,refute_10_455]) ).
cnf(refute_10_457,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_10_458,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_10_457,refute_10_399]) ).
cnf(refute_10_459,plain,
( h3(e11) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_10_456,refute_10_458]) ).
cnf(refute_10_460,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_10_76]) ).
cnf(refute_10_461,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_10_462,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) != op2(e20,h4(e12))
| op2(e20,h4(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_10_463,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_10_461,refute_10_462]) ).
cnf(refute_10_464,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_28,refute_10_463]) ).
cnf(refute_10_465,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_10_466,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_10_467,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_10_465,refute_10_466]) ).
cnf(refute_10_468,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_10_91,refute_10_467]) ).
cnf(refute_10_469,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_10_22:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_10_470,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_10_468,refute_10_469]) ).
cnf(refute_10_471,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_10_464,refute_10_470]) ).
cnf(refute_10_472,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_10_473,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_10_471,refute_10_472]) ).
cnf(refute_10_474,plain,
h4(op1(e10,e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_10_460,refute_10_473]) ).
cnf(refute_10_475,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(canonicalize,[],[normalize_10_77]) ).
cnf(refute_10_476,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_10_78]) ).
cnf(refute_10_477,plain,
( op1(e13,e12) != e11
| op1(e13,e13) != e11
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_10_478,plain,
( op1(e13,e12) != e11
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_132,refute_10_477]) ).
cnf(refute_10_479,plain,
op1(e13,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_10_478,refute_10_476]) ).
cnf(refute_10_480,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_10_475,refute_10_479]) ).
cnf(refute_10_481,plain,
op1(e11,e10) != op1(e11,e12),
inference(canonicalize,[],[normalize_10_79]) ).
cnf(refute_10_482,plain,
( e11 != op1(e11,e12)
| op1(e11,e10) != e11
| op1(e11,e10) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_10_483,plain,
( e11 != op1(e11,e12)
| op1(e11,e10) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_10_153,refute_10_482]) ).
cnf(refute_10_484,plain,
e11 != op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e12)) )],[refute_10_483,refute_10_481]) ).
cnf(refute_10_485,plain,
( op1(e11,e12) != e11
| e11 = op1(e11,e12) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(e11))]]) ).
cnf(refute_10_486,plain,
op1(e11,e12) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_10_485,refute_10_484]) ).
cnf(refute_10_487,plain,
( op1(e10,e12) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_10_480,refute_10_486]) ).
cnf(refute_10_488,plain,
( h4(e11) != h3(e11)
| h4(op1(e12,e12)) = h3(e11)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_10_487,refute_10_343]) ).
cnf(refute_10_489,plain,
( h4(e11) != h3(e11)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h3(e11)) )],[refute_10_488,refute_10_45]) ).
cnf(refute_10_490,plain,
( e21 != h3(e11)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e11),h3(e11)) )],[refute_10_347,refute_10_489]) ).
cnf(refute_10_491,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_10_80]) ).
cnf(refute_10_492,plain,
( op2(e22,e20) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_10_493,plain,
( op2(e22,e20) != h3(e11)
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_492]) ).
cnf(refute_10_494,plain,
op2(e22,e20) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_10_493,refute_10_491]) ).
cnf(refute_10_495,plain,
( e23 != h3(e11)
| op2(e22,e20) != e23
| op2(e22,e20) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e23) ),[1],$fot(h3(e11))]]) ).
cnf(refute_10_496,plain,
( e23 != h3(e11)
| op2(e22,e20) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_10_435,refute_10_495]) ).
cnf(refute_10_497,plain,
e23 != h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h3(e11)) )],[refute_10_496,refute_10_494]) ).
cnf(refute_10_498,plain,
( e23 != e23
| h3(e11) != e23
| e23 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h3(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_10_499,plain,
( e23 != e23
| e23 = h3(e11)
| h3(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_10_369,refute_10_498]) ).
cnf(refute_10_500,plain,
( e23 != e23
| h3(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e23,h3(e11)) )],[refute_10_499,refute_10_497]) ).
cnf(refute_10_501,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_10_502,plain,
( h3(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_10_501,refute_10_500]) ).
cnf(refute_10_503,plain,
( e21 != e21
| e21 = h3(e11)
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_10_502,refute_10_370]) ).
cnf(refute_10_504,plain,
( e21 != e21
| h3(e11) = e22
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_10_503,refute_10_490]) ).
cnf(refute_10_505,plain,
( h3(e11) = e22
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_10_373,refute_10_504]) ).
cnf(refute_10_506,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e11
| h4(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e11)]]) ).
cnf(refute_10_507,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h3(e11) = e22
| h4(e11) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_10_505,refute_10_506]) ).
cnf(refute_10_508,plain,
( h3(e11) = e22
| h4(e11) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_10_474,refute_10_507]) ).
cnf(refute_10_509,plain,
( h4(e11) != e21
| h4(e11) != op2(e20,e22)
| e21 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e20,e22)) ),[0],$fot(e21)]]) ).
cnf(refute_10_510,plain,
( h4(e11) != op2(e20,e22)
| e21 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_10_68,refute_10_509]) ).
cnf(refute_10_511,plain,
( e21 = op2(e20,e22)
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e20,e22)) )],[refute_10_508,refute_10_510]) ).
cnf(refute_10_512,plain,
( e21 != op2(e20,e22)
| op2(e20,e22) = e21 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_10_513,plain,
( h3(e11) = e22
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_10_511,refute_10_512]) ).
cnf(refute_10_514,plain,
( op2(e20,e22) != e21
| op2(e20,e22) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0],$fot(e21)]]) ).
cnf(refute_10_515,plain,
( op2(e20,e22) != e22
| e21 = e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_10_513,refute_10_514]) ).
cnf(refute_10_516,plain,
( e21 = e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_10_459,refute_10_515]) ).
cnf(refute_10_517,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_10_81]) ).
cnf(refute_10_518,plain,
( e22 != op2(e23,e23)
| op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_10_519,plain,
( e22 != op2(e23,e23)
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_10_20,refute_10_518]) ).
cnf(refute_10_520,plain,
( e22 != e21
| op2(e23,e23) != e21
| e22 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_10_521,plain,
( e22 != e21
| e22 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_65,refute_10_520]) ).
cnf(refute_10_522,plain,
( e22 != e21
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_10_521,refute_10_519]) ).
cnf(refute_10_523,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_10_522,refute_10_517]) ).
cnf(refute_10_524,plain,
( e21 != e22
| e22 = e21 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e21)),bind(Y,$fot(e22))]]) ).
cnf(refute_10_525,plain,
e21 != e22,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_10_524,refute_10_523]) ).
cnf(refute_10_526,plain,
h3(e11) = e22,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_10_516,refute_10_525]) ).
cnf(refute_10_527,plain,
( h4(op1(e12,e12)) != e22
| h4(op1(e12,e12)) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_10_526,refute_10_309]) ).
cnf(refute_10_528,plain,
h4(op1(e12,e12)) != e22,
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h3(e11)) )],[refute_10_527,refute_10_45]) ).
cnf(refute_10_529,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_10_82]) ).
cnf(refute_10_530,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_10_83]) ).
cnf(refute_10_531,plain,
( e12 != op1(e13,e12)
| op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(op1(e13,e12))]]) ).
cnf(refute_10_532,plain,
( e12 != op1(e13,e12)
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_10_123,refute_10_531]) ).
cnf(refute_10_533,plain,
e12 != op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_10_532,refute_10_530]) ).
cnf(refute_10_534,plain,
( op1(e13,e12) != e12
| e12 = op1(e13,e12) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e12))]]) ).
cnf(refute_10_535,plain,
op1(e13,e12) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e12)) )],[refute_10_534,refute_10_533]) ).
cnf(refute_10_536,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_10_529,refute_10_535]) ).
cnf(refute_10_537,plain,
op2(e22,e21) != op2(e22,e22),
inference(canonicalize,[],[normalize_10_84]) ).
cnf(refute_10_538,plain,
( op2(e22,e21) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e22,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_10_539,plain,
( op2(e22,e21) != h3(e11)
| op2(e22,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_538]) ).
cnf(refute_10_540,plain,
op2(e22,e21) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_10_539,refute_10_537]) ).
cnf(refute_10_541,plain,
h4(op1(e12,e11)) = op2(h4(e12),h4(e11)),
inference(canonicalize,[],[normalize_10_85]) ).
cnf(refute_10_542,plain,
op2(e22,h4(e11)) = op2(e22,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e11)))]]) ).
cnf(refute_10_543,plain,
( h4(e11) != e21
| op2(e22,h4(e11)) != op2(e22,h4(e11))
| op2(e22,h4(e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_10_544,plain,
( h4(e11) != e21
| op2(e22,h4(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) )],[refute_10_542,refute_10_543]) ).
cnf(refute_10_545,plain,
op2(e22,h4(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_10_68,refute_10_544]) ).
cnf(refute_10_546,plain,
op2(h4(e12),h4(e11)) = op2(h4(e12),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_10_547,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) = op2(e22,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) ),[1,0],$fot(e22)]]) ).
cnf(refute_10_548,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e11)) = op2(e22,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) )],[refute_10_546,refute_10_547]) ).
cnf(refute_10_549,plain,
op2(h4(e12),h4(e11)) = op2(e22,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_28,refute_10_548]) ).
cnf(refute_10_550,plain,
( op2(e22,h4(e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) != op2(e22,h4(e11))
| op2(h4(e12),h4(e11)) = op2(e22,e21) ),
inference(subst,[],[refute_10_22:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e22,h4(e11)))),bind(Z,$fot(op2(e22,e21)))]]) ).
cnf(refute_10_551,plain,
( op2(e22,h4(e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,h4(e11))) )],[refute_10_549,refute_10_550]) ).
cnf(refute_10_552,plain,
op2(h4(e12),h4(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,e21)) )],[refute_10_545,refute_10_551]) ).
cnf(refute_10_553,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) != op2(e22,e21)
| h4(op1(e12,e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e22,e21)) ),[0],$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_10_554,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,e21)) )],[refute_10_552,refute_10_553]) ).
cnf(refute_10_555,plain,
h4(op1(e12,e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) )],[refute_10_541,refute_10_554]) ).
cnf(refute_10_556,plain,
( op1(e12,e12) != e11
| op1(e12,e11) = e12 ),
inference(canonicalize,[],[normalize_10_86]) ).
cnf(refute_10_557,plain,
( e11 != e11
| op1(e12,e12) != e11
| op1(e12,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_10_558,plain,
( e11 != e11
| op1(e10,e12) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_10_487,refute_10_557]) ).
cnf(refute_10_559,plain,
( e11 != e11
| op1(e10,e12) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_10_558,refute_10_556]) ).
cnf(refute_10_560,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_10_561,plain,
( op1(e10,e12) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_10_560,refute_10_559]) ).
cnf(refute_10_562,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| op1(e12,e11) != e12
| h4(e12) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e22,e21)) ),[0,0],$fot(e12)]]) ).
cnf(refute_10_563,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| h4(e12) = op2(e22,e21)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_10_561,refute_10_562]) ).
cnf(refute_10_564,plain,
( h4(e12) = op2(e22,e21)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e22,e21)) )],[refute_10_555,refute_10_563]) ).
cnf(refute_10_565,plain,
( h4(e12) != e22
| h4(e12) != op2(e22,e21)
| e22 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(e22,e21)) ),[0],$fot(e22)]]) ).
cnf(refute_10_566,plain,
( h4(e12) != op2(e22,e21)
| e22 = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_28,refute_10_565]) ).
cnf(refute_10_567,plain,
( e22 = op2(e22,e21)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e22,e21)) )],[refute_10_564,refute_10_566]) ).
cnf(refute_10_568,plain,
( e22 != op2(e22,e21)
| op2(e22,e21) = e22 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_10_569,plain,
( op1(e10,e12) = e11
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e21)) )],[refute_10_567,refute_10_568]) ).
cnf(refute_10_570,plain,
( e22 != h3(e11)
| op2(e22,e21) != e22
| op2(e22,e21) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e22) ),[1],$fot(h3(e11))]]) ).
cnf(refute_10_571,plain,
( e22 != h3(e11)
| op1(e10,e12) = e11
| op2(e22,e21) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_10_569,refute_10_570]) ).
cnf(refute_10_572,plain,
( e22 != h3(e11)
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),h3(e11)) )],[refute_10_571,refute_10_540]) ).
cnf(refute_10_573,plain,
( e22 != e22
| h3(e11) != e22
| e22 = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h3(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_10_574,plain,
( e22 != e22
| e22 = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_10_526,refute_10_573]) ).
cnf(refute_10_575,plain,
( e22 != e22
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(e22,h3(e11)) )],[refute_10_574,refute_10_572]) ).
cnf(refute_10_576,plain,
op1(e10,e12) = e11,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_10_328,refute_10_575]) ).
cnf(refute_10_577,plain,
( op1(e10,e12) != e11
| op1(e10,e12) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0],$fot(e11)]]) ).
cnf(refute_10_578,plain,
( op1(e10,e12) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_10_576,refute_10_577]) ).
cnf(refute_10_579,plain,
( e11 = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_10_536,refute_10_578]) ).
cnf(refute_10_580,plain,
op2(e21,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_10_87]) ).
cnf(refute_10_581,plain,
( op2(e21,e22) != h3(e11)
| op2(e22,e22) != h3(e11)
| op2(e21,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_10_582,plain,
( op2(e21,e22) != h3(e11)
| op2(e21,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_10_6,refute_10_581]) ).
cnf(refute_10_583,plain,
op2(e21,e22) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_10_582,refute_10_580]) ).
cnf(refute_10_584,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(canonicalize,[],[normalize_10_88]) ).
cnf(refute_10_585,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_10_586,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_10_275,refute_10_585]) ).
cnf(refute_10_587,plain,
( h2(e11) = e22
| op2(e21,e20) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_10_584,refute_10_586]) ).
cnf(refute_10_588,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_10_89]) ).
cnf(refute_10_589,plain,
( op2(e21,e20) != e22
| op2(e23,e20) != e22
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_10_590,plain,
( op2(e21,e20) != e22
| op2(e21,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_10_20,refute_10_589]) ).
cnf(refute_10_591,plain,
op2(e21,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_10_590,refute_10_588]) ).
cnf(refute_10_592,plain,
( h2(e11) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_10_587,refute_10_591]) ).
cnf(refute_10_593,plain,
( h2(e11) != e20
| h2(e11) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[0],$fot(e20)]]) ).
cnf(refute_10_594,plain,
( h2(e11) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_10_303,refute_10_593]) ).
cnf(refute_10_595,plain,
( e20 = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_10_592,refute_10_594]) ).
cnf(refute_10_596,plain,
( op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_10_595,refute_10_443]) ).
cnf(refute_10_597,plain,
h4(op1(e11,e13)) = op2(h4(e11),h4(e13)),
inference(canonicalize,[],[normalize_10_90]) ).
cnf(refute_10_598,plain,
op2(e21,h4(e13)) = op2(e21,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_10_599,plain,
( h4(e13) != e23
| op2(e21,h4(e13)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_10_600,plain,
( h4(e13) != e23
| op2(e21,h4(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_10_598,refute_10_599]) ).
cnf(refute_10_601,plain,
op2(e21,h4(e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_10_161,refute_10_600]) ).
cnf(refute_10_602,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_10_603,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_10_604,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e13)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) )],[refute_10_602,refute_10_603]) ).
cnf(refute_10_605,plain,
op2(h4(e11),h4(e13)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_10_68,refute_10_604]) ).
cnf(refute_10_606,plain,
( op2(e21,h4(e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) != op2(e21,h4(e13))
| op2(h4(e11),h4(e13)) = op2(e21,e23) ),
inference(subst,[],[refute_10_22:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(e21,h4(e13)))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_10_607,plain,
( op2(e21,h4(e13)) != op2(e21,e23)
| op2(h4(e11),h4(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,h4(e13))) )],[refute_10_605,refute_10_606]) ).
cnf(refute_10_608,plain,
op2(h4(e11),h4(e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e23)) )],[refute_10_601,refute_10_607]) ).
cnf(refute_10_609,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) != op2(e21,e23)
| h4(op1(e11,e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0],$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_10_610,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(e21,e23)) )],[refute_10_608,refute_10_609]) ).
cnf(refute_10_611,plain,
h4(op1(e11,e13)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_10_597,refute_10_610]) ).
cnf(refute_10_612,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| op1(e11,e13) != e13
| h4(e13) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[0,0],$fot(e13)]]) ).
cnf(refute_10_613,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| h4(e13) = op2(e21,e23)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_10_244,refute_10_612]) ).
cnf(refute_10_614,plain,
( h4(e13) = op2(e21,e23)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_10_611,refute_10_613]) ).
cnf(refute_10_615,plain,
( h4(e13) != e23
| h4(e13) != op2(e21,e23)
| e23 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e21,e23)) ),[0],$fot(e23)]]) ).
cnf(refute_10_616,plain,
( h4(e13) != op2(e21,e23)
| e23 = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_10_161,refute_10_615]) ).
cnf(refute_10_617,plain,
( e23 = op2(e21,e23)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e21,e23)) )],[refute_10_614,refute_10_616]) ).
cnf(refute_10_618,plain,
( e23 != op2(e21,e23)
| op2(e21,e23) = e23 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_10_619,plain,
( op1(e11,e12) = e13
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e21,e23)) )],[refute_10_617,refute_10_618]) ).
cnf(refute_10_620,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(e23)]]) ).
cnf(refute_10_621,plain,
( op2(e21,e23) != e22
| e23 = e22
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_10_619,refute_10_620]) ).
cnf(refute_10_622,plain,
( e23 = e22
| op1(e11,e12) = e13
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_10_596,refute_10_621]) ).
cnf(refute_10_623,plain,
( op1(e11,e12) = e13
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_10_622,refute_10_458]) ).
cnf(refute_10_624,plain,
( e22 != h3(e11)
| op2(e21,e22) != e22
| op2(e21,e22) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[1],$fot(h3(e11))]]) ).
cnf(refute_10_625,plain,
( e22 != h3(e11)
| op1(e11,e12) = e13
| op2(e21,e22) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_10_623,refute_10_624]) ).
cnf(refute_10_626,plain,
( e22 != h3(e11)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),h3(e11)) )],[refute_10_625,refute_10_583]) ).
cnf(refute_10_627,plain,
( e22 != e22
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(e22,h3(e11)) )],[refute_10_574,refute_10_626]) ).
cnf(refute_10_628,plain,
op1(e11,e12) = e13,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_10_328,refute_10_627]) ).
cnf(refute_10_629,plain,
( op1(e11,e12) != e12
| op1(e11,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_10_630,plain,
( op1(e11,e12) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_10_628,refute_10_629]) ).
cnf(refute_10_631,plain,
( e11 = e12
| e13 = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_10_579,refute_10_630]) ).
cnf(refute_10_632,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_10_91]) ).
cnf(refute_10_633,plain,
( e12 != op1(e13,e13)
| op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e12) ),[1],$fot(op1(e13,e13))]]) ).
cnf(refute_10_634,plain,
( e12 != op1(e13,e13)
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_10_123,refute_10_633]) ).
cnf(refute_10_635,plain,
( e12 != e11
| op1(e13,e13) != e11
| e12 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_10_636,plain,
( e12 != e11
| e12 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_132,refute_10_635]) ).
cnf(refute_10_637,plain,
( e12 != e11
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_10_636,refute_10_634]) ).
cnf(refute_10_638,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_10_637,refute_10_632]) ).
cnf(refute_10_639,plain,
( e11 != e12
| e12 = e11 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e11)),bind(Y,$fot(e12))]]) ).
cnf(refute_10_640,plain,
e11 != e12,
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_10_639,refute_10_638]) ).
cnf(refute_10_641,plain,
( e13 = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_10_631,refute_10_640]) ).
cnf(refute_10_642,plain,
op1(e12,e12) = e12,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_10_641,refute_10_250]) ).
cnf(refute_10_643,plain,
h4(op1(e12,e12)) = h4(op1(e12,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e12)))]]) ).
cnf(refute_10_644,plain,
( h4(op1(e12,e12)) != h4(op1(e12,e12))
| op1(e12,e12) != e12
| h4(op1(e12,e12)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) ),[1,0],$fot(e12)]]) ).
cnf(refute_10_645,plain,
( op1(e12,e12) != e12
| h4(op1(e12,e12)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) )],[refute_10_643,refute_10_644]) ).
cnf(refute_10_646,plain,
h4(op1(e12,e12)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_10_642,refute_10_645]) ).
cnf(refute_10_647,plain,
( h4(e12) != e22
| h4(op1(e12,e12)) != h4(e12)
| h4(op1(e12,e12)) = e22 ),
inference(subst,[],[refute_10_22:[bind(X,$fot(h4(op1(e12,e12)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_10_648,plain,
( h4(e12) != e22
| h4(op1(e12,e12)) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(e12)) )],[refute_10_646,refute_10_647]) ).
cnf(refute_10_649,plain,
h4(op1(e12,e12)) = e22,
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_28,refute_10_648]) ).
cnf(refute_10_650,plain,
( e22 != e22
| h4(op1(e12,e12)) != e22
| h4(op1(e12,e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),e22) ),[1],$fot(e22)]]) ).
cnf(refute_10_651,plain,
( e22 != e22
| h4(op1(e12,e12)) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),e22) )],[refute_10_649,refute_10_650]) ).
cnf(refute_10_652,plain,
e22 != e22,
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),e22) )],[refute_10_651,refute_10_528]) ).
cnf(refute_10_653,plain,
$false,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_10_328,refute_10_652]) ).
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,
( ( 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_1,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_2,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_11_3,plain,
h3(e11) = op2(e22,e22),
inference(conjunct,[],[normalize_11_2]) ).
fof(normalize_11_4,plain,
( ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_11_5,plain,
( op2(e22,e22) != e20
| op2(e22,e20) = e22 ),
inference(conjunct,[],[normalize_11_4]) ).
fof(normalize_11_6,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_7,plain,
op2(e22,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_8,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_11_9,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_11_8]) ).
fof(normalize_11_10,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_11_8]) ).
fof(normalize_11_11,plain,
op2(e21,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_12,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_11_13,plain,
h2(e11) = op2(e21,e21),
inference(conjunct,[],[normalize_11_12]) ).
fof(normalize_11_14,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_11_8]) ).
fof(normalize_11_15,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_16,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_11_17,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_11_16]) ).
fof(normalize_11_18,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_11_12]) ).
fof(normalize_11_19,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_11_2]) ).
fof(normalize_11_20,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_15,normalize_11_17,normalize_11_18,normalize_11_19]) ).
fof(normalize_11_21,plain,
h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
inference(conjunct,[],[normalize_11_20]) ).
fof(normalize_11_22,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_11_23,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_11_22]) ).
fof(normalize_11_24,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_11_22]) ).
fof(normalize_11_25,plain,
op2(e20,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_26,plain,
h1(e11) = op2(e20,e20),
inference(conjunct,[],[normalize_11_16]) ).
fof(normalize_11_27,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_28,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_11_27]) ).
fof(normalize_11_29,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_30,plain,
op2(e20,e20) != op2(e21,e20),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_31,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(conjunct,[],[normalize_11_4]) ).
fof(normalize_11_32,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_33,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_11_32]) ).
fof(normalize_11_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_11_35,plain,
op1(e12,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_36,plain,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_11_37,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(conjunct,[],[normalize_11_36]) ).
fof(normalize_11_38,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(conjunct,[],[normalize_11_36]) ).
fof(normalize_11_39,plain,
op1(e11,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_40,plain,
( ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_11_41,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(conjunct,[],[normalize_11_40]) ).
fof(normalize_11_42,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_11_36]) ).
fof(normalize_11_43,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_11_22]) ).
fof(normalize_11_44,plain,
h3(e10) = op2(op2(e22,e22),op2(e22,e22)),
inference(conjunct,[],[normalize_11_2]) ).
fof(normalize_11_45,plain,
( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(conjunct,[],[normalize_11_4]) ).
fof(normalize_11_46,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_11_47,plain,
e21 != e23,
inference(conjunct,[],[normalize_11_46]) ).
fof(normalize_11_48,plain,
e20 != e21,
inference(conjunct,[],[normalize_11_46]) ).
fof(normalize_11_49,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_50,plain,
e20 != e22,
inference(conjunct,[],[normalize_11_46]) ).
fof(normalize_11_51,plain,
op2(e21,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_52,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_11_4]) ).
fof(normalize_11_53,plain,
h4(op1(e12,e12)) = op2(h4(e12),h4(e12)),
inference(conjunct,[],[normalize_11_20]) ).
fof(normalize_11_54,plain,
h4(op1(e12,e13)) != op2(h4(e12),h4(e13)),
inference(conjunct,[],[normalize_11_20]) ).
fof(normalize_11_55,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_56,plain,
op2(e22,e20) != op2(e22,e23),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_57,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(conjunct,[],[normalize_11_27]) ).
fof(normalize_11_58,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_59,plain,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_11_60,plain,
( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_11_59]) ).
fof(normalize_11_61,plain,
op1(e12,e11) != op1(e13,e11),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_62,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_11_40]) ).
fof(normalize_11_63,plain,
( op1(e11,e11) != e13
| op1(e11,e13) = e11 ),
inference(conjunct,[],[normalize_11_40]) ).
fof(normalize_11_64,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_65,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_66,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_11_22]) ).
fof(normalize_11_67,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_68,plain,
op1(e12,e10) != op1(e12,e12),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_69,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_11_59]) ).
fof(normalize_11_70,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_11_71,plain,
e12 != e13,
inference(conjunct,[],[normalize_11_70]) ).
fof(normalize_11_72,plain,
e11 != e13,
inference(conjunct,[],[normalize_11_70]) ).
fof(normalize_11_73,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(conjunct,[],[normalize_11_32]) ).
fof(normalize_11_74,plain,
( op1(e12,e12) != e10
| op1(e12,e10) = e12 ),
inference(conjunct,[],[normalize_11_40]) ).
fof(normalize_11_75,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_11_20]) ).
fof(normalize_11_76,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(conjunct,[],[normalize_11_32]) ).
fof(normalize_11_77,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_78,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e10 ),
inference(conjunct,[],[normalize_11_40]) ).
fof(normalize_11_79,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_80,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(conjunct,[],[normalize_11_32]) ).
fof(normalize_11_81,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_82,plain,
op1(e12,e10) != op1(e12,e13),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_83,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_84,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(conjunct,[],[normalize_11_16]) ).
fof(normalize_11_85,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_86,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_87,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_88,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_89,plain,
h4(op1(e12,e11)) = op2(h4(e12),h4(e11)),
inference(conjunct,[],[normalize_11_20]) ).
fof(normalize_11_90,plain,
( op1(e12,e12) != e11
| op1(e12,e11) = e12 ),
inference(conjunct,[],[normalize_11_40]) ).
fof(normalize_11_91,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(conjunct,[],[normalize_11_59]) ).
fof(normalize_11_92,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(conjunct,[],[normalize_11_0]) ).
fof(normalize_11_93,plain,
e22 != e23,
inference(conjunct,[],[normalize_11_46]) ).
fof(normalize_11_94,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_11_6]) ).
fof(normalize_11_95,plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(conjunct,[],[normalize_11_0]) ).
cnf(refute_11_0,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(canonicalize,[],[normalize_11_1]) ).
cnf(refute_11_1,plain,
h3(e11) = op2(e22,e22),
inference(canonicalize,[],[normalize_11_3]) ).
cnf(refute_11_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_11_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_11_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_11_2,refute_11_3]) ).
cnf(refute_11_5,plain,
( h3(e11) != op2(e22,e22)
| op2(e22,e22) = h3(e11) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_11_6,plain,
op2(e22,e22) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e22)) )],[refute_11_1,refute_11_5]) ).
cnf(refute_11_7,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_11_8,plain,
( op2(e22,e22) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_11_6,refute_11_7]) ).
cnf(refute_11_9,plain,
( h3(e11) = e20
| op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_11_0,refute_11_8]) ).
cnf(refute_11_10,plain,
( op2(e22,e22) != e20
| op2(e22,e20) = e22 ),
inference(canonicalize,[],[normalize_11_5]) ).
cnf(refute_11_11,plain,
( h3(e11) != e20
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_11_12,plain,
( h3(e11) != e20
| op2(e22,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_11_6,refute_11_11]) ).
cnf(refute_11_13,plain,
( h3(e11) != e20
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_11_12,refute_11_10]) ).
cnf(refute_11_14,plain,
op2(e22,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_11_7]) ).
cnf(refute_11_15,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_11_9]) ).
cnf(refute_11_16,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_11_10]) ).
cnf(refute_11_17,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = e20 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_11_18,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_11_16,refute_11_17]) ).
cnf(refute_11_19,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
introduced(tautology,[refl,[$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_11_20,plain,
( op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) ),[1,1],$fot(e20)]]) ).
cnf(refute_11_21,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_11_19,refute_11_20]) ).
cnf(refute_11_22,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_11_18,refute_11_21]) ).
cnf(refute_11_23,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e20)) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_11_24,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_11_22,refute_11_23]) ).
cnf(refute_11_25,plain,
e22 = op2(e23,e20),
inference(resolve,[$cnf( $equal(e22,op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_11_15,refute_11_24]) ).
cnf(refute_11_26,plain,
( e22 != op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_11_27,plain,
op2(e23,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_11_25,refute_11_26]) ).
cnf(refute_11_28,plain,
( op2(e22,e20) != e22
| op2(e23,e20) != e22
| op2(e22,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_11_29,plain,
( op2(e22,e20) != e22
| op2(e22,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_11_27,refute_11_28]) ).
cnf(refute_11_30,plain,
op2(e22,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e23,e20)) )],[refute_11_29,refute_11_14]) ).
cnf(refute_11_31,plain,
h3(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_11_13,refute_11_30]) ).
cnf(refute_11_32,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_11_9,refute_11_31]) ).
cnf(refute_11_33,plain,
op2(e21,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_11_11]) ).
cnf(refute_11_34,plain,
h2(e11) = op2(e21,e21),
inference(canonicalize,[],[normalize_11_13]) ).
cnf(refute_11_35,plain,
( h2(e11) != op2(e21,e21)
| op2(e21,e21) = h2(e11) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_11_36,plain,
op2(e21,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e21)) )],[refute_11_34,refute_11_35]) ).
cnf(refute_11_37,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_11_38,plain,
( h2(e11) != op2(e22,e21)
| op2(e21,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_11_36,refute_11_37]) ).
cnf(refute_11_39,plain,
h2(e11) != op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_11_38,refute_11_33]) ).
cnf(refute_11_40,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_11_14]) ).
cnf(refute_11_41,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_11_42,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_11_40,refute_11_41]) ).
cnf(refute_11_43,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_11_44,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_11_45,plain,
( op2(e23,e23) != e21
| op2(e21,op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_11_43,refute_11_44]) ).
cnf(refute_11_46,plain,
op2(e21,op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_42,refute_11_45]) ).
cnf(refute_11_47,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(op2(e23,e23),op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_11_48,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) ),[1,0],$fot(e21)]]) ).
cnf(refute_11_49,plain,
( op2(e23,e23) != e21
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_11_47,refute_11_48]) ).
cnf(refute_11_50,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_42,refute_11_49]) ).
cnf(refute_11_51,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_11_52,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_11_4,refute_11_51]) ).
cnf(refute_11_53,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_11_54,plain,
( op2(e21,op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_11_50,refute_11_53]) ).
cnf(refute_11_55,plain,
op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_11_46,refute_11_54]) ).
cnf(refute_11_56,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_11_57,plain,
( op2(e21,e21) != h2(e11)
| op2(op2(e23,e23),op2(e23,e23)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_11_55,refute_11_56]) ).
cnf(refute_11_58,plain,
op2(op2(e23,e23),op2(e23,e23)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_11_36,refute_11_57]) ).
cnf(refute_11_59,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != h2(e11)
| e20 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e11)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_11_60,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e11)) )],[refute_11_58,refute_11_59]) ).
cnf(refute_11_61,plain,
e20 = h2(e11),
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_11_16,refute_11_60]) ).
cnf(refute_11_62,plain,
( e20 != h2(e11)
| h2(e11) = e20 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e20)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_11_63,plain,
h2(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h2(e11)) )],[refute_11_61,refute_11_62]) ).
cnf(refute_11_64,plain,
( e20 != op2(e22,e21)
| h2(e11) != e20
| h2(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_11_65,plain,
( e20 != op2(e22,e21)
| h2(e11) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_11_63,refute_11_64]) ).
cnf(refute_11_66,plain,
e20 != op2(e22,e21),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e21)) )],[refute_11_65,refute_11_39]) ).
cnf(refute_11_67,plain,
( op2(e22,e21) != e20
| e20 = op2(e22,e21) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(op2(e22,e21))),bind(Y,$fot(e20))]]) ).
cnf(refute_11_68,plain,
op2(e22,e21) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_11_67,refute_11_66]) ).
cnf(refute_11_69,plain,
( op2(e22,e20) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_11_32,refute_11_68]) ).
cnf(refute_11_70,plain,
h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
inference(canonicalize,[],[normalize_11_21]) ).
cnf(refute_11_71,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_11_23]) ).
cnf(refute_11_72,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_11_73,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_11_18,refute_11_72]) ).
cnf(refute_11_74,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_11_71,refute_11_73]) ).
cnf(refute_11_75,plain,
op2(e22,h4(e10)) = op2(e22,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e10)))]]) ).
cnf(refute_11_76,plain,
( h4(e10) != e20
| op2(e22,h4(e10)) != op2(e22,h4(e10))
| op2(e22,h4(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_11_77,plain,
( h4(e10) != e20
| op2(e22,h4(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,h4(e10))) )],[refute_11_75,refute_11_76]) ).
cnf(refute_11_78,plain,
op2(e22,h4(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_11_74,refute_11_77]) ).
cnf(refute_11_79,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_11_24]) ).
cnf(refute_11_80,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(e22))]]) ).
cnf(refute_11_81,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_11_22,refute_11_80]) ).
cnf(refute_11_82,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22,
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_11_27,refute_11_81]) ).
cnf(refute_11_83,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_11_84,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),e22) )],[refute_11_82,refute_11_83]) ).
cnf(refute_11_85,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_11_79,refute_11_84]) ).
cnf(refute_11_86,plain,
op2(h4(e12),h4(e10)) = op2(h4(e12),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_11_87,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) = op2(e22,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) ),[1,0],$fot(e22)]]) ).
cnf(refute_11_88,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e10)) = op2(e22,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) )],[refute_11_86,refute_11_87]) ).
cnf(refute_11_89,plain,
op2(h4(e12),h4(e10)) = op2(e22,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_11_85,refute_11_88]) ).
cnf(refute_11_90,plain,
( op2(e22,h4(e10)) != op2(e22,e20)
| op2(h4(e12),h4(e10)) != op2(e22,h4(e10))
| op2(h4(e12),h4(e10)) = op2(e22,e20) ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(h4(e12),h4(e10)))),bind(Y,$fot(op2(e22,h4(e10)))),bind(Z,$fot(op2(e22,e20)))]]) ).
cnf(refute_11_91,plain,
( op2(e22,h4(e10)) != op2(e22,e20)
| op2(h4(e12),h4(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e22,h4(e10))) )],[refute_11_89,refute_11_90]) ).
cnf(refute_11_92,plain,
op2(h4(e12),h4(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,e20)) )],[refute_11_78,refute_11_91]) ).
cnf(refute_11_93,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) != op2(e22,e20)
| h4(op1(e12,e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e22,e20)) ),[0],$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_11_94,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e22,e20)) )],[refute_11_92,refute_11_93]) ).
cnf(refute_11_95,plain,
h4(op1(e12,e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) )],[refute_11_70,refute_11_94]) ).
cnf(refute_11_96,plain,
op2(e20,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_11_25]) ).
cnf(refute_11_97,plain,
h1(e11) = op2(e20,e20),
inference(canonicalize,[],[normalize_11_26]) ).
cnf(refute_11_98,plain,
( h1(e11) != op2(e20,e20)
| op2(e20,e20) = h1(e11) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_11_99,plain,
op2(e20,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e20)) )],[refute_11_97,refute_11_98]) ).
cnf(refute_11_100,plain,
( h1(e11) != op2(e22,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_11_101,plain,
( h1(e11) != op2(e22,e20)
| op2(e20,e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_11_99,refute_11_100]) ).
cnf(refute_11_102,plain,
h1(e11) != op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e22,e20)) )],[refute_11_101,refute_11_96]) ).
cnf(refute_11_103,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_11_28]) ).
cnf(refute_11_104,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_11_105,plain,
( op2(e20,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_11_99,refute_11_104]) ).
cnf(refute_11_106,plain,
( h1(e11) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_11_103,refute_11_105]) ).
cnf(refute_11_107,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_11_108,plain,
( op2(e20,e20) != e21
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_11_99,refute_11_107]) ).
cnf(refute_11_109,plain,
( h1(e11) = e20
| h1(e11) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_11_106,refute_11_108]) ).
cnf(refute_11_110,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_11_111,plain,
( op2(e20,e20) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_11_99,refute_11_110]) ).
cnf(refute_11_112,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_11_109,refute_11_111]) ).
cnf(refute_11_113,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e11)
| h1(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e11))]]) ).
cnf(refute_11_114,plain,
( op2(e20,e20) != e23
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_11_99,refute_11_113]) ).
cnf(refute_11_115,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_11_112,refute_11_114]) ).
cnf(refute_11_116,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_11_29]) ).
cnf(refute_11_117,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_11_118,plain,
( h1(e11) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_11_99,refute_11_117]) ).
cnf(refute_11_119,plain,
( h1(e11) != e22
| op2(e23,e20) != e22
| h1(e11) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e23,e20)) ),[1],$fot(e22)]]) ).
cnf(refute_11_120,plain,
( h1(e11) != e22
| h1(e11) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_11_27,refute_11_119]) ).
cnf(refute_11_121,plain,
( h1(e11) != e22
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,e20)) )],[refute_11_120,refute_11_118]) ).
cnf(refute_11_122,plain,
h1(e11) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_11_121,refute_11_116]) ).
cnf(refute_11_123,plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_11_115,refute_11_122]) ).
cnf(refute_11_124,plain,
op2(e20,e20) != op2(e21,e20),
inference(canonicalize,[],[normalize_11_30]) ).
cnf(refute_11_125,plain,
( h1(e11) != op2(e21,e20)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_11_126,plain,
( h1(e11) != op2(e21,e20)
| op2(e20,e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_11_99,refute_11_125]) ).
cnf(refute_11_127,plain,
h1(e11) != op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e21,e20)) )],[refute_11_126,refute_11_124]) ).
cnf(refute_11_128,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(canonicalize,[],[normalize_11_31]) ).
cnf(refute_11_129,plain,
( h2(e11) != e20
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_11_130,plain,
( h2(e11) != e20
| op2(e21,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_11_36,refute_11_129]) ).
cnf(refute_11_131,plain,
( h2(e11) != e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_11_130,refute_11_128]) ).
cnf(refute_11_132,plain,
( e20 != e20
| h2(e11) != e20
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(e20)]]) ).
cnf(refute_11_133,plain,
( e20 != e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_11_63,refute_11_132]) ).
cnf(refute_11_134,plain,
( e20 != e20
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_11_133,refute_11_131]) ).
cnf(refute_11_135,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_11_136,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_11_135,refute_11_134]) ).
cnf(refute_11_137,plain,
( h1(e11) != e21
| op2(e21,e20) != e21
| h1(e11) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e21,e20)) ),[1],$fot(e21)]]) ).
cnf(refute_11_138,plain,
( h1(e11) != e21
| h1(e11) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_11_136,refute_11_137]) ).
cnf(refute_11_139,plain,
h1(e11) != e21,
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e20)) )],[refute_11_138,refute_11_127]) ).
cnf(refute_11_140,plain,
( h1(e11) = e20
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_11_123,refute_11_139]) ).
cnf(refute_11_141,plain,
( e20 != op2(e22,e20)
| h1(e11) != e20
| h1(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_11_142,plain,
( e20 != op2(e22,e20)
| h1(e11) = e23
| h1(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_11_140,refute_11_141]) ).
cnf(refute_11_143,plain,
( e20 != op2(e22,e20)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e22,e20)) )],[refute_11_142,refute_11_102]) ).
cnf(refute_11_144,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_11_33]) ).
cnf(refute_11_145,plain,
op1(e12,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_11_35]) ).
cnf(refute_11_146,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(canonicalize,[],[normalize_11_37]) ).
cnf(refute_11_147,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(canonicalize,[],[normalize_11_38]) ).
cnf(refute_11_148,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = e10 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_11_149,plain,
op1(op1(e13,e13),op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_11_147,refute_11_148]) ).
cnf(refute_11_150,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
introduced(tautology,[refl,[$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_11_151,plain,
( op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) ),[1,1],$fot(e10)]]) ).
cnf(refute_11_152,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_11_150,refute_11_151]) ).
cnf(refute_11_153,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e10) )],[refute_11_149,refute_11_152]) ).
cnf(refute_11_154,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,e10)
| e12 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e10)) ),[0],$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_11_155,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| e12 = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,e10)) )],[refute_11_153,refute_11_154]) ).
cnf(refute_11_156,plain,
e12 = op1(e13,e10),
inference(resolve,[$cnf( $equal(e12,op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_11_146,refute_11_155]) ).
cnf(refute_11_157,plain,
( e12 != op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e10)))]]) ).
cnf(refute_11_158,plain,
op1(e13,e10) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e10)) )],[refute_11_156,refute_11_157]) ).
cnf(refute_11_159,plain,
( op1(e12,e10) != e12
| op1(e13,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_11_160,plain,
( op1(e12,e10) != e12
| op1(e12,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_11_158,refute_11_159]) ).
cnf(refute_11_161,plain,
op1(e12,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e13,e10)) )],[refute_11_160,refute_11_145]) ).
cnf(refute_11_162,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_11_144,refute_11_161]) ).
cnf(refute_11_163,plain,
op1(e11,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_11_39]) ).
cnf(refute_11_164,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(canonicalize,[],[normalize_11_41]) ).
cnf(refute_11_165,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_11_42]) ).
cnf(refute_11_166,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_11_167,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_11_165,refute_11_166]) ).
cnf(refute_11_168,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_11_169,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_11_170,plain,
( op1(e13,e13) != e11
| op1(e11,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_11_168,refute_11_169]) ).
cnf(refute_11_171,plain,
op1(e11,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_167,refute_11_170]) ).
cnf(refute_11_172,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(op1(e13,e13),op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_11_173,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_11_174,plain,
( op1(e13,e13) != e11
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(op1(e13,e13),op1(e13,e13))) )],[refute_11_172,refute_11_173]) ).
cnf(refute_11_175,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,op1(e13,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_167,refute_11_174]) ).
cnf(refute_11_176,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op1(op1(e13,e13),op1(e13,e13)))),bind(Y,$fot(op1(e11,op1(e13,e13)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_11_177,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e11)
| op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_11_175,refute_11_176]) ).
cnf(refute_11_178,plain,
op1(op1(e13,e13),op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e11)) )],[refute_11_171,refute_11_177]) ).
cnf(refute_11_179,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) != op1(e11,e11)
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e11)) ),[0],$fot(op1(op1(e13,e13),op1(e13,e13)))]]) ).
cnf(refute_11_180,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| e10 = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),op1(e11,e11)) )],[refute_11_178,refute_11_179]) ).
cnf(refute_11_181,plain,
e10 = op1(e11,e11),
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_11_147,refute_11_180]) ).
cnf(refute_11_182,plain,
( e10 != op1(e11,e11)
| op1(e11,e11) = e10 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e11)))]]) ).
cnf(refute_11_183,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_11_181,refute_11_182]) ).
cnf(refute_11_184,plain,
( e10 != e10
| op1(e11,e11) != e10
| op1(e11,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(e10)]]) ).
cnf(refute_11_185,plain,
( e10 != e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_11_183,refute_11_184]) ).
cnf(refute_11_186,plain,
( e10 != e10
| op1(e11,e10) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_11_185,refute_11_164]) ).
cnf(refute_11_187,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_11_188,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_11_187,refute_11_186]) ).
cnf(refute_11_189,plain,
( e11 != op1(e12,e10)
| op1(e11,e10) != e11
| op1(e11,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e11) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_11_190,plain,
( e11 != op1(e12,e10)
| op1(e11,e10) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_11_188,refute_11_189]) ).
cnf(refute_11_191,plain,
e11 != op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,e10)) )],[refute_11_190,refute_11_163]) ).
cnf(refute_11_192,plain,
( op1(e12,e10) != e11
| e11 = op1(e12,e10) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(op1(e12,e10))),bind(Y,$fot(e11))]]) ).
cnf(refute_11_193,plain,
op1(e12,e10) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e10)) )],[refute_11_192,refute_11_191]) ).
cnf(refute_11_194,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_11_162,refute_11_193]) ).
cnf(refute_11_195,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| op1(e12,e10) != e10
| h4(e10) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),op2(e22,e20)) ),[0,0],$fot(e10)]]) ).
cnf(refute_11_196,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| h4(e10) = op2(e22,e20)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_11_194,refute_11_195]) ).
cnf(refute_11_197,plain,
( h4(e10) = op2(e22,e20)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e22,e20)) )],[refute_11_95,refute_11_196]) ).
cnf(refute_11_198,plain,
( h4(e10) != e20
| h4(e10) != op2(e22,e20)
| e20 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e22,e20)) ),[0],$fot(e20)]]) ).
cnf(refute_11_199,plain,
( h4(e10) != op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_11_74,refute_11_198]) ).
cnf(refute_11_200,plain,
( e20 = op2(e22,e20)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(e10),op2(e22,e20)) )],[refute_11_197,refute_11_199]) ).
cnf(refute_11_201,plain,
( e20 != op2(e22,e20)
| op2(e22,e20) = e20 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_11_202,plain,
( op1(e12,e10) = e13
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e20)) )],[refute_11_200,refute_11_201]) ).
cnf(refute_11_203,plain,
( e20 != e20
| op2(e22,e20) != e20
| e20 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e20)) ),[1],$fot(e20)]]) ).
cnf(refute_11_204,plain,
( e20 != e20
| e20 = op2(e22,e20)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_11_202,refute_11_203]) ).
cnf(refute_11_205,plain,
( e20 != e20
| h1(e11) = e23
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e20)) )],[refute_11_204,refute_11_143]) ).
cnf(refute_11_206,plain,
( h1(e11) = e23
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_11_135,refute_11_205]) ).
cnf(refute_11_207,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| op1(e12,e10) != e13
| h4(e13) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),op2(e22,e20)) ),[0,0],$fot(e13)]]) ).
cnf(refute_11_208,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| h1(e11) = e23
| h4(e13) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_11_206,refute_11_207]) ).
cnf(refute_11_209,plain,
( h1(e11) = e23
| h4(e13) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e22,e20)) )],[refute_11_95,refute_11_208]) ).
cnf(refute_11_210,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_11_43]) ).
cnf(refute_11_211,plain,
( h4(e13) != e23
| h4(e13) != op2(e22,e20)
| e23 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e22,e20)) ),[0],$fot(e23)]]) ).
cnf(refute_11_212,plain,
( h4(e13) != op2(e22,e20)
| e23 = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_210,refute_11_211]) ).
cnf(refute_11_213,plain,
( e23 = op2(e22,e20)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e22,e20)) )],[refute_11_209,refute_11_212]) ).
cnf(refute_11_214,plain,
h3(e10) = op2(op2(e22,e22),op2(e22,e22)),
inference(canonicalize,[],[normalize_11_44]) ).
cnf(refute_11_215,plain,
op2(h3(e11),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(h3(e11),op2(e22,e22)))]]) ).
cnf(refute_11_216,plain,
( op2(e22,e22) != h3(e11)
| op2(h3(e11),op2(e22,e22)) != op2(h3(e11),op2(e22,e22))
| op2(h3(e11),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),op2(e22,e22)),op2(h3(e11),op2(e22,e22))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_11_217,plain,
( op2(e22,e22) != h3(e11)
| op2(h3(e11),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),op2(e22,e22)),op2(h3(e11),op2(e22,e22))) )],[refute_11_215,refute_11_216]) ).
cnf(refute_11_218,plain,
op2(h3(e11),op2(e22,e22)) = op2(h3(e11),h3(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_11_6,refute_11_217]) ).
cnf(refute_11_219,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_11_220,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(h3(e11))]]) ).
cnf(refute_11_221,plain,
( op2(e22,e22) != h3(e11)
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_11_219,refute_11_220]) ).
cnf(refute_11_222,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),op2(e22,e22)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_11_6,refute_11_221]) ).
cnf(refute_11_223,plain,
( op2(h3(e11),op2(e22,e22)) != op2(h3(e11),h3(e11))
| op2(op2(e22,e22),op2(e22,e22)) != op2(h3(e11),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(h3(e11),op2(e22,e22)))),bind(Z,$fot(op2(h3(e11),h3(e11))))]]) ).
cnf(refute_11_224,plain,
( op2(h3(e11),op2(e22,e22)) != op2(h3(e11),h3(e11))
| op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(h3(e11),op2(e22,e22))) )],[refute_11_222,refute_11_223]) ).
cnf(refute_11_225,plain,
op2(op2(e22,e22),op2(e22,e22)) = op2(h3(e11),h3(e11)),
inference(resolve,[$cnf( $equal(op2(h3(e11),op2(e22,e22)),op2(h3(e11),h3(e11))) )],[refute_11_218,refute_11_224]) ).
cnf(refute_11_226,plain,
( h3(e10) != op2(op2(e22,e22),op2(e22,e22))
| op2(op2(e22,e22),op2(e22,e22)) != op2(h3(e11),h3(e11))
| h3(e10) = op2(h3(e11),h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),op2(h3(e11),h3(e11))) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).
cnf(refute_11_227,plain,
( h3(e10) != op2(op2(e22,e22),op2(e22,e22))
| h3(e10) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(h3(e11),h3(e11))) )],[refute_11_225,refute_11_226]) ).
cnf(refute_11_228,plain,
h3(e10) = op2(h3(e11),h3(e11)),
inference(resolve,[$cnf( $equal(h3(e10),op2(op2(e22,e22),op2(e22,e22))) )],[refute_11_214,refute_11_227]) ).
cnf(refute_11_229,plain,
( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(canonicalize,[],[normalize_11_45]) ).
cnf(refute_11_230,plain,
( h1(e11) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_11_229,refute_11_105]) ).
cnf(refute_11_231,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e11)
| h2(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e11))]]) ).
cnf(refute_11_232,plain,
( op2(e21,e21) != e21
| h2(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_11_36,refute_11_231]) ).
cnf(refute_11_233,plain,
( h1(e11) = e20
| h2(e11) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_11_230,refute_11_232]) ).
cnf(refute_11_234,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_11_235,plain,
( op2(e22,e22) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_11_6,refute_11_234]) ).
cnf(refute_11_236,plain,
( h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22
| op2(e23,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_11_233,refute_11_235]) ).
cnf(refute_11_237,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e21)]]) ).
cnf(refute_11_238,plain,
( op2(e23,e23) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_42,refute_11_237]) ).
cnf(refute_11_239,plain,
( e21 = e23
| h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_11_236,refute_11_238]) ).
cnf(refute_11_240,plain,
e21 != e23,
inference(canonicalize,[],[normalize_11_47]) ).
cnf(refute_11_241,plain,
( h1(e11) = e20
| h2(e11) = e21
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_11_239,refute_11_240]) ).
cnf(refute_11_242,plain,
( h2(e11) != e20
| h2(e11) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e21) ),[0],$fot(e20)]]) ).
cnf(refute_11_243,plain,
( h2(e11) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_11_63,refute_11_242]) ).
cnf(refute_11_244,plain,
( e20 = e21
| h1(e11) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e21) )],[refute_11_241,refute_11_243]) ).
cnf(refute_11_245,plain,
e20 != e21,
inference(canonicalize,[],[normalize_11_48]) ).
cnf(refute_11_246,plain,
( h1(e11) = e20
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_11_244,refute_11_245]) ).
cnf(refute_11_247,plain,
( h3(e10) != op2(h3(e11),h3(e11))
| h3(e11) != e22
| h3(e10) = op2(h3(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(h3(e11),h3(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_11_248,plain,
( h3(e10) != op2(h3(e11),h3(e11))
| h1(e11) = e20
| h3(e10) = op2(h3(e11),e22) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_11_246,refute_11_247]) ).
cnf(refute_11_249,plain,
( h1(e11) = e20
| h3(e10) = op2(h3(e11),e22) ),
inference(resolve,[$cnf( $equal(h3(e10),op2(h3(e11),h3(e11))) )],[refute_11_228,refute_11_248]) ).
cnf(refute_11_250,plain,
( h3(e10) != op2(h3(e11),h3(e11))
| h3(e11) != e22
| h3(e10) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(h3(e11),h3(e11))) ),[1,0],$fot(e22)]]) ).
cnf(refute_11_251,plain,
( h3(e10) != op2(h3(e11),h3(e11))
| h1(e11) = e20
| h3(e10) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_11_246,refute_11_250]) ).
cnf(refute_11_252,plain,
( h1(e11) = e20
| h3(e10) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(h3(e10),op2(h3(e11),h3(e11))) )],[refute_11_228,refute_11_251]) ).
cnf(refute_11_253,plain,
( h3(e10) != op2(e22,h3(e11))
| h3(e11) != e22
| h3(e10) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_11_254,plain,
( h3(e10) != op2(e22,h3(e11))
| h1(e11) = e20
| h3(e10) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_11_246,refute_11_253]) ).
cnf(refute_11_255,plain,
( h1(e11) = e20
| h3(e10) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,h3(e11))) )],[refute_11_252,refute_11_254]) ).
cnf(refute_11_256,plain,
( h3(e10) != op2(e22,e22)
| op2(e22,e22) != h3(e11)
| h3(e10) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),h3(e11)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_11_257,plain,
( h3(e10) != op2(e22,e22)
| h3(e10) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_11_6,refute_11_256]) ).
cnf(refute_11_258,plain,
( h1(e11) = e20
| h3(e10) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e10),op2(e22,e22)) )],[refute_11_255,refute_11_257]) ).
cnf(refute_11_259,plain,
( h3(e10) != h3(e11)
| h3(e11) = h3(e10) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(h3(e10))),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_11_260,plain,
( h1(e11) = e20
| h3(e11) = h3(e10) ),
inference(resolve,[$cnf( $equal(h3(e10),h3(e11)) )],[refute_11_258,refute_11_259]) ).
cnf(refute_11_261,plain,
( h3(e11) != e22
| h3(e11) != h3(e10)
| h3(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[0],$fot(h3(e10))]]) ).
cnf(refute_11_262,plain,
( h3(e11) != e22
| h1(e11) = e20
| h3(e10) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),h3(e10)) )],[refute_11_260,refute_11_261]) ).
cnf(refute_11_263,plain,
( h1(e11) = e20
| h3(e10) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_11_246,refute_11_262]) ).
cnf(refute_11_264,plain,
( h3(e10) != e22
| h3(e10) != op2(h3(e11),e22)
| e22 = op2(h3(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),op2(h3(e11),e22)) ),[0],$fot(e22)]]) ).
cnf(refute_11_265,plain,
( h3(e10) != op2(h3(e11),e22)
| e22 = op2(h3(e11),e22)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h3(e10),e22) )],[refute_11_263,refute_11_264]) ).
cnf(refute_11_266,plain,
( e22 = op2(h3(e11),e22)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h3(e10),op2(h3(e11),e22)) )],[refute_11_249,refute_11_265]) ).
cnf(refute_11_267,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(canonicalize,[],[normalize_11_49]) ).
cnf(refute_11_268,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_11_267,refute_11_105]) ).
cnf(refute_11_269,plain,
( op2(e23,e20) != e20
| op2(e23,e20) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e20) ),[0],$fot(e22)]]) ).
cnf(refute_11_270,plain,
( op2(e23,e20) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_11_27,refute_11_269]) ).
cnf(refute_11_271,plain,
( e22 = e20
| h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_11_268,refute_11_270]) ).
cnf(refute_11_272,plain,
e20 != e22,
inference(canonicalize,[],[normalize_11_50]) ).
cnf(refute_11_273,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_11_274,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_11_273,refute_11_272]) ).
cnf(refute_11_275,plain,
( h1(e11) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_11_271,refute_11_274]) ).
cnf(refute_11_276,plain,
( op2(e21,e20) != e20
| op2(e21,e20) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[0],$fot(e21)]]) ).
cnf(refute_11_277,plain,
( op2(e21,e20) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_11_136,refute_11_276]) ).
cnf(refute_11_278,plain,
( e21 = e20
| h1(e11) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_11_275,refute_11_277]) ).
cnf(refute_11_279,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_11_280,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_11_279,refute_11_245]) ).
cnf(refute_11_281,plain,
( h1(e11) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_11_278,refute_11_280]) ).
cnf(refute_11_282,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| h4(e13) = op2(e22,e20)
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_11_194,refute_11_207]) ).
cnf(refute_11_283,plain,
( h4(e13) = op2(e22,e20)
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e22,e20)) )],[refute_11_95,refute_11_282]) ).
cnf(refute_11_284,plain,
( e23 = op2(e22,e20)
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e22,e20)) )],[refute_11_283,refute_11_212]) ).
cnf(refute_11_285,plain,
( e23 != op2(e22,e20)
| op2(e22,e20) = e23 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_11_286,plain,
( op1(e12,e10) = e10
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(e23,op2(e22,e20)) )],[refute_11_284,refute_11_285]) ).
cnf(refute_11_287,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(e23)]]) ).
cnf(refute_11_288,plain,
( op2(e22,e20) != e20
| e23 = e20
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_11_286,refute_11_287]) ).
cnf(refute_11_289,plain,
( e23 = e20
| h1(e11) = e20
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_11_281,refute_11_288]) ).
cnf(refute_11_290,plain,
op2(e21,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_11_51]) ).
cnf(refute_11_291,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_11_292,plain,
( h2(e11) != op2(e23,e21)
| op2(e21,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_11_36,refute_11_291]) ).
cnf(refute_11_293,plain,
h2(e11) != op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e23,e21)) )],[refute_11_292,refute_11_290]) ).
cnf(refute_11_294,plain,
( e20 != op2(e23,e21)
| h2(e11) != e20
| h2(e11) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_11_295,plain,
( e20 != op2(e23,e21)
| h2(e11) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_11_63,refute_11_294]) ).
cnf(refute_11_296,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_11_52]) ).
cnf(refute_11_297,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_11_298,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_42,refute_11_297]) ).
cnf(refute_11_299,plain,
( e21 != e21
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_298,refute_11_296]) ).
cnf(refute_11_300,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_11_301,plain,
op2(e23,e21) = e23,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_11_300,refute_11_299]) ).
cnf(refute_11_302,plain,
( e20 != e23
| op2(e23,e21) != e23
| e20 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e21)) ),[1],$fot(e23)]]) ).
cnf(refute_11_303,plain,
( e20 != e23
| e20 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_11_301,refute_11_302]) ).
cnf(refute_11_304,plain,
( e20 != e23
| h2(e11) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_11_303,refute_11_295]) ).
cnf(refute_11_305,plain,
e20 != e23,
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,e21)) )],[refute_11_304,refute_11_293]) ).
cnf(refute_11_306,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_11_307,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_11_306,refute_11_305]) ).
cnf(refute_11_308,plain,
( h1(e11) = e20
| op1(e12,e10) = e10 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_11_289,refute_11_307]) ).
cnf(refute_11_309,plain,
h4(op1(e12,e12)) = op2(h4(e12),h4(e12)),
inference(canonicalize,[],[normalize_11_53]) ).
cnf(refute_11_310,plain,
op2(e22,h4(e12)) = op2(e22,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e12)))]]) ).
cnf(refute_11_311,plain,
( h4(e12) != e22
| op2(e22,h4(e12)) != op2(e22,h4(e12))
| op2(e22,h4(e12)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_11_312,plain,
( h4(e12) != e22
| op2(e22,h4(e12)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,h4(e12))) )],[refute_11_310,refute_11_311]) ).
cnf(refute_11_313,plain,
op2(e22,h4(e12)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_11_85,refute_11_312]) ).
cnf(refute_11_314,plain,
op2(h4(e12),h4(e12)) = op2(h4(e12),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e12)))]]) ).
cnf(refute_11_315,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e12)) != op2(h4(e12),h4(e12))
| op2(h4(e12),h4(e12)) = op2(e22,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) ),[1,0],$fot(e22)]]) ).
cnf(refute_11_316,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e12)) = op2(e22,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) )],[refute_11_314,refute_11_315]) ).
cnf(refute_11_317,plain,
op2(h4(e12),h4(e12)) = op2(e22,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_11_85,refute_11_316]) ).
cnf(refute_11_318,plain,
( op2(e22,h4(e12)) != op2(e22,e22)
| op2(h4(e12),h4(e12)) != op2(e22,h4(e12))
| op2(h4(e12),h4(e12)) = op2(e22,e22) ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e22,h4(e12)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_11_319,plain,
( op2(e22,h4(e12)) != op2(e22,e22)
| op2(h4(e12),h4(e12)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e22,h4(e12))) )],[refute_11_317,refute_11_318]) ).
cnf(refute_11_320,plain,
op2(h4(e12),h4(e12)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,e22)) )],[refute_11_313,refute_11_319]) ).
cnf(refute_11_321,plain,
( op2(e22,e22) != h3(e11)
| op2(h4(e12),h4(e12)) != op2(e22,e22)
| op2(h4(e12),h4(e12)) = h3(e11) ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_11_322,plain,
( op2(e22,e22) != h3(e11)
| op2(h4(e12),h4(e12)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e22,e22)) )],[refute_11_320,refute_11_321]) ).
cnf(refute_11_323,plain,
op2(h4(e12),h4(e12)) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_11_6,refute_11_322]) ).
cnf(refute_11_324,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| op2(h4(e12),h4(e12)) != h3(e11)
| h4(op1(e12,e12)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e12)),h3(e11)) ),[0],$fot(op2(h4(e12),h4(e12)))]]) ).
cnf(refute_11_325,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e12)) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),h3(e11)) )],[refute_11_323,refute_11_324]) ).
cnf(refute_11_326,plain,
h4(op1(e12,e12)) = h3(e11),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),op2(h4(e12),h4(e12))) )],[refute_11_309,refute_11_325]) ).
cnf(refute_11_327,plain,
h4(op1(e12,e13)) != op2(h4(e12),h4(e13)),
inference(canonicalize,[],[normalize_11_54]) ).
cnf(refute_11_328,plain,
op2(e22,h4(e13)) = op2(e22,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e13)))]]) ).
cnf(refute_11_329,plain,
( h4(e13) != e23
| op2(e22,h4(e13)) != op2(e22,h4(e13))
| op2(e22,h4(e13)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_11_330,plain,
( h4(e13) != e23
| op2(e22,h4(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) )],[refute_11_328,refute_11_329]) ).
cnf(refute_11_331,plain,
op2(e22,h4(e13)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_210,refute_11_330]) ).
cnf(refute_11_332,plain,
op2(h4(e12),h4(e13)) = op2(h4(e12),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_11_333,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) = op2(e22,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_11_334,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e13)) = op2(e22,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) )],[refute_11_332,refute_11_333]) ).
cnf(refute_11_335,plain,
op2(h4(e12),h4(e13)) = op2(e22,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_11_85,refute_11_334]) ).
cnf(refute_11_336,plain,
( op2(e22,h4(e13)) != op2(e22,e23)
| op2(h4(e12),h4(e13)) != op2(e22,h4(e13))
| op2(h4(e12),h4(e13)) = op2(e22,e23) ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e22,h4(e13)))),bind(Z,$fot(op2(e22,e23)))]]) ).
cnf(refute_11_337,plain,
( op2(e22,h4(e13)) != op2(e22,e23)
| op2(h4(e12),h4(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e22,h4(e13))) )],[refute_11_335,refute_11_336]) ).
cnf(refute_11_338,plain,
op2(h4(e12),h4(e13)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,e23)) )],[refute_11_331,refute_11_337]) ).
cnf(refute_11_339,plain,
( h4(op1(e12,e13)) != op2(e22,e23)
| op2(h4(e12),h4(e13)) != op2(e22,e23)
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_11_340,plain,
( h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e22,e23)) )],[refute_11_338,refute_11_339]) ).
cnf(refute_11_341,plain,
h4(op1(e12,e13)) != op2(e22,e23),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) )],[refute_11_340,refute_11_327]) ).
cnf(refute_11_342,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_11_55]) ).
cnf(refute_11_343,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) != h3(e11)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_11_344,plain,
( h3(e11) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e11)) )],[refute_11_6,refute_11_343]) ).
cnf(refute_11_345,plain,
h3(e11) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_11_344,refute_11_342]) ).
cnf(refute_11_346,plain,
( e22 != op2(e22,e23)
| h3(e11) != e22
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_11_347,plain,
( e22 != op2(e22,e23)
| h1(e11) = e20
| h3(e11) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_11_246,refute_11_346]) ).
cnf(refute_11_348,plain,
( e22 != op2(e22,e23)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_11_347,refute_11_345]) ).
cnf(refute_11_349,plain,
op2(e22,e20) != op2(e22,e23),
inference(canonicalize,[],[normalize_11_56]) ).
cnf(refute_11_350,plain,
( e20 != op2(e22,e23)
| op2(e22,e20) != e20
| op2(e22,e20) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_11_351,plain,
( e20 != op2(e22,e23)
| h1(e11) = e20
| op2(e22,e20) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_11_281,refute_11_350]) ).
cnf(refute_11_352,plain,
( e20 != op2(e22,e23)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e23)) )],[refute_11_351,refute_11_349]) ).
cnf(refute_11_353,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(canonicalize,[],[normalize_11_57]) ).
cnf(refute_11_354,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_11_58]) ).
cnf(refute_11_355,plain,
( op2(e22,e23) != e21
| op2(e23,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_11_356,plain,
( op2(e22,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_42,refute_11_355]) ).
cnf(refute_11_357,plain,
op2(e22,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_11_356,refute_11_354]) ).
cnf(refute_11_358,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_11_353,refute_11_357]) ).
cnf(refute_11_359,plain,
( e20 != e20
| op2(e22,e23) != e20
| e20 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_11_360,plain,
( e20 != e20
| e20 = op2(e22,e23)
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_11_358,refute_11_359]) ).
cnf(refute_11_361,plain,
( e20 != e20
| h1(e11) = e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e23)) )],[refute_11_360,refute_11_352]) ).
cnf(refute_11_362,plain,
( h1(e11) = e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_11_135,refute_11_361]) ).
cnf(refute_11_363,plain,
( e22 != e22
| op2(e22,e23) != e22
| e22 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_11_364,plain,
( e22 != e22
| e22 = op2(e22,e23)
| h1(e11) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_11_362,refute_11_363]) ).
cnf(refute_11_365,plain,
( e22 != e22
| h1(e11) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_11_364,refute_11_348]) ).
cnf(refute_11_366,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_11_367,plain,
( h1(e11) = e20
| op2(e22,e23) = e23 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_11_366,refute_11_365]) ).
cnf(refute_11_368,plain,
( h4(op1(e12,e13)) != e23
| op2(e22,e23) != e23
| h4(op1(e12,e13)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(e22,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_11_369,plain,
( h4(op1(e12,e13)) != e23
| h1(e11) = e20
| h4(op1(e12,e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_11_367,refute_11_368]) ).
cnf(refute_11_370,plain,
( h4(op1(e12,e13)) != e23
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e22,e23)) )],[refute_11_369,refute_11_341]) ).
cnf(refute_11_371,plain,
( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_11_60]) ).
cnf(refute_11_372,plain,
op1(e12,e11) != op1(e13,e11),
inference(canonicalize,[],[normalize_11_61]) ).
cnf(refute_11_373,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_11_62]) ).
cnf(refute_11_374,plain,
( e11 != e11
| op1(e13,e13) != e11
| op1(e13,e13) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).
cnf(refute_11_375,plain,
( e11 != e11
| op1(e13,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_167,refute_11_374]) ).
cnf(refute_11_376,plain,
( e11 != e11
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_375,refute_11_373]) ).
cnf(refute_11_377,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_11_378,plain,
op1(e13,e11) = e13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_11_377,refute_11_376]) ).
cnf(refute_11_379,plain,
( op1(e12,e11) != e13
| op1(e13,e11) != e13
| op1(e12,e11) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e13,e11)) ),[1],$fot(e13)]]) ).
cnf(refute_11_380,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_11_378,refute_11_379]) ).
cnf(refute_11_381,plain,
op1(e12,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e13,e11)) )],[refute_11_380,refute_11_372]) ).
cnf(refute_11_382,plain,
( op1(e12,e10) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_11_371,refute_11_381]) ).
cnf(refute_11_383,plain,
( h4(e13) != e23
| op1(e12,e13) != e13
| h4(op1(e12,e13)) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),e23) ),[0,0],$fot(e13)]]) ).
cnf(refute_11_384,plain,
( h4(e13) != e23
| h4(op1(e12,e13)) = e23
| op1(e12,e10) = e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_11_382,refute_11_383]) ).
cnf(refute_11_385,plain,
( h4(e13) != e23
| h1(e11) = e20
| op1(e12,e10) = e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),e23) )],[refute_11_384,refute_11_370]) ).
cnf(refute_11_386,plain,
( e23 != e23
| h4(e13) != e23
| h4(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_11_387,plain,
( e23 != e23
| h4(e13) = e23 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_210,refute_11_386]) ).
cnf(refute_11_388,plain,
( e23 != e23
| h1(e11) = e20
| op1(e12,e10) = e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_387,refute_11_385]) ).
cnf(refute_11_389,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_11_390,plain,
( h1(e11) = e20
| op1(e12,e10) = e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_389,refute_11_388]) ).
cnf(refute_11_391,plain,
( h4(op1(e12,e12)) != h3(e11)
| op1(e12,e12) != e13
| h4(e13) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),h3(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_11_392,plain,
( h4(op1(e12,e12)) != h3(e11)
| h1(e11) = e20
| h4(e13) = h3(e11)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_390,refute_11_391]) ).
cnf(refute_11_393,plain,
( h1(e11) = e20
| h4(e13) = h3(e11)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h3(e11)) )],[refute_11_326,refute_11_392]) ).
cnf(refute_11_394,plain,
( h4(e13) != e23
| h4(e13) != h3(e11)
| e23 = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h3(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_11_395,plain,
( h4(e13) != h3(e11)
| e23 = h3(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_210,refute_11_394]) ).
cnf(refute_11_396,plain,
( e23 = h3(e11)
| h1(e11) = e20
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(h4(e13),h3(e11)) )],[refute_11_393,refute_11_395]) ).
cnf(refute_11_397,plain,
( op1(e12,e10) != e10
| op1(e12,e10) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[0],$fot(e13)]]) ).
cnf(refute_11_398,plain,
( op1(e12,e10) != e10
| e13 = e10
| e23 = h3(e11)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_11_396,refute_11_397]) ).
cnf(refute_11_399,plain,
( e13 = e10
| e23 = h3(e11)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_11_308,refute_11_398]) ).
cnf(refute_11_400,plain,
( op1(e11,e11) != e13
| op1(e11,e13) = e11 ),
inference(canonicalize,[],[normalize_11_63]) ).
cnf(refute_11_401,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_11_64]) ).
cnf(refute_11_402,plain,
( op1(e11,e13) != e11
| op1(e13,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_11_403,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_167,refute_11_402]) ).
cnf(refute_11_404,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_11_403,refute_11_401]) ).
cnf(refute_11_405,plain,
op1(e11,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_11_400,refute_11_404]) ).
cnf(refute_11_406,plain,
( e10 != e13
| op1(e11,e11) != e10
| op1(e11,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(e13)]]) ).
cnf(refute_11_407,plain,
( e10 != e13
| op1(e11,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_11_183,refute_11_406]) ).
cnf(refute_11_408,plain,
e10 != e13,
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_11_407,refute_11_405]) ).
cnf(refute_11_409,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_11_410,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_11_409,refute_11_408]) ).
cnf(refute_11_411,plain,
( e23 = h3(e11)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_11_399,refute_11_410]) ).
cnf(refute_11_412,plain,
( e23 != h3(e11)
| h3(e11) = e23 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e23)),bind(Y,$fot(h3(e11)))]]) ).
cnf(refute_11_413,plain,
( h1(e11) = e20
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(e23,h3(e11)) )],[refute_11_411,refute_11_412]) ).
cnf(refute_11_414,plain,
( e22 != op2(h3(e11),e22)
| h3(e11) != e23
| e22 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(e22,op2(h3(e11),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_11_415,plain,
( e22 != op2(h3(e11),e22)
| e22 = op2(e23,e22)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_11_413,refute_11_414]) ).
cnf(refute_11_416,plain,
( e22 = op2(e23,e22)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(e22,op2(h3(e11),e22)) )],[refute_11_266,refute_11_415]) ).
cnf(refute_11_417,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_11_65]) ).
cnf(refute_11_418,plain,
( e22 = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_11_417,refute_11_270]) ).
cnf(refute_11_419,plain,
( op2(e23,e21) != e20
| op2(e23,e21) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e20) ),[0],$fot(e23)]]) ).
cnf(refute_11_420,plain,
( op2(e23,e21) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_11_301,refute_11_419]) ).
cnf(refute_11_421,plain,
( e22 = e20
| e23 = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_11_418,refute_11_420]) ).
cnf(refute_11_422,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e21)]]) ).
cnf(refute_11_423,plain,
( op2(e23,e23) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_42,refute_11_422]) ).
cnf(refute_11_424,plain,
( e21 = e20
| e22 = e20
| e23 = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_11_421,refute_11_423]) ).
cnf(refute_11_425,plain,
( e22 = e20
| e23 = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_11_424,refute_11_280]) ).
cnf(refute_11_426,plain,
( e23 = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_11_425,refute_11_274]) ).
cnf(refute_11_427,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_11_426,refute_11_307]) ).
cnf(refute_11_428,plain,
( e22 != op2(e23,e22)
| op2(e23,e22) != e20
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,e20) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_11_429,plain,
( e22 != op2(e23,e22)
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_11_427,refute_11_428]) ).
cnf(refute_11_430,plain,
( e22 = e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e22)) )],[refute_11_416,refute_11_429]) ).
cnf(refute_11_431,plain,
h1(e11) = e20,
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_11_430,refute_11_274]) ).
cnf(refute_11_432,plain,
( h1(e11) != e20
| h1(e11) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e23) ),[0],$fot(e20)]]) ).
cnf(refute_11_433,plain,
( h1(e11) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_11_431,refute_11_432]) ).
cnf(refute_11_434,plain,
( e20 = e23
| e23 = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_11_213,refute_11_433]) ).
cnf(refute_11_435,plain,
e23 = op2(e22,e20),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_11_434,refute_11_305]) ).
cnf(refute_11_436,plain,
op2(e22,e20) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e20)) )],[refute_11_435,refute_11_285]) ).
cnf(refute_11_437,plain,
( op2(e22,e20) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_11_436,refute_11_287]) ).
cnf(refute_11_438,plain,
( e23 = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_11_69,refute_11_437]) ).
cnf(refute_11_439,plain,
op2(e22,e23) = e20,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_11_438,refute_11_307]) ).
cnf(refute_11_440,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_11_66]) ).
cnf(refute_11_441,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_11_442,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_42,refute_11_441]) ).
cnf(refute_11_443,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_11_440,refute_11_442]) ).
cnf(refute_11_444,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_11_67]) ).
cnf(refute_11_445,plain,
op1(e12,e10) != op1(e12,e12),
inference(canonicalize,[],[normalize_11_68]) ).
cnf(refute_11_446,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_11_69]) ).
cnf(refute_11_447,plain,
( op1(e13,e10) != e12
| op1(e13,e10) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e13) ),[0],$fot(e12)]]) ).
cnf(refute_11_448,plain,
( op1(e13,e10) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_11_158,refute_11_447]) ).
cnf(refute_11_449,plain,
( e12 = e13
| op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_11_446,refute_11_448]) ).
cnf(refute_11_450,plain,
e12 != e13,
inference(canonicalize,[],[normalize_11_71]) ).
cnf(refute_11_451,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_11_449,refute_11_450]) ).
cnf(refute_11_452,plain,
( op1(e11,e10) != e11
| op1(e11,e10) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e13) ),[0],$fot(e11)]]) ).
cnf(refute_11_453,plain,
( op1(e11,e10) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_11_188,refute_11_452]) ).
cnf(refute_11_454,plain,
( e11 = e13
| op1(e10,e10) = e13
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_11_451,refute_11_453]) ).
cnf(refute_11_455,plain,
e11 != e13,
inference(canonicalize,[],[normalize_11_72]) ).
cnf(refute_11_456,plain,
( op1(e10,e10) = e13
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_11_454,refute_11_455]) ).
cnf(refute_11_457,plain,
( e13 != op1(e12,e12)
| op1(e12,e10) != e13
| op1(e12,e10) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e13) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_11_458,plain,
( e13 != op1(e12,e12)
| op1(e10,e10) = e13
| op1(e12,e10) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_11_456,refute_11_457]) ).
cnf(refute_11_459,plain,
( e13 != op1(e12,e12)
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_11_458,refute_11_445]) ).
cnf(refute_11_460,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(canonicalize,[],[normalize_11_73]) ).
cnf(refute_11_461,plain,
( op1(e12,e12) != e10
| op1(e12,e10) = e12 ),
inference(canonicalize,[],[normalize_11_74]) ).
cnf(refute_11_462,plain,
op1(e12,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_11_461,refute_11_161]) ).
cnf(refute_11_463,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_11_460,refute_11_462]) ).
cnf(refute_11_464,plain,
( e13 != e13
| op1(e12,e12) != e13
| e13 = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_11_465,plain,
( e13 != e13
| e13 = op1(e12,e12)
| op1(e12,e12) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_463,refute_11_464]) ).
cnf(refute_11_466,plain,
( e13 != e13
| op1(e10,e10) = e13
| op1(e12,e12) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_11_465,refute_11_459]) ).
cnf(refute_11_467,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_11_468,plain,
( op1(e10,e10) = e13
| op1(e12,e12) = e11
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_11_467,refute_11_466]) ).
cnf(refute_11_469,plain,
( e12 != op1(e12,e13)
| op1(e12,e12) != e12
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e12) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_11_470,plain,
( e12 != op1(e12,e13)
| op1(e10,e10) = e13
| op1(e12,e12) = e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_11_468,refute_11_469]) ).
cnf(refute_11_471,plain,
( e12 != op1(e12,e13)
| op1(e10,e10) = e13
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_11_470,refute_11_444]) ).
cnf(refute_11_472,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_11_75]) ).
cnf(refute_11_473,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_11_474,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_11_475,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_11_473,refute_11_474]) ).
cnf(refute_11_476,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_11_74,refute_11_475]) ).
cnf(refute_11_477,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_11_478,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_11_479,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_11_477,refute_11_478]) ).
cnf(refute_11_480,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_11_74,refute_11_479]) ).
cnf(refute_11_481,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_11_482,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_11_480,refute_11_481]) ).
cnf(refute_11_483,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_11_476,refute_11_482]) ).
cnf(refute_11_484,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_11_485,plain,
( op2(e20,e20) != h1(e11)
| op2(h4(e10),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_11_483,refute_11_484]) ).
cnf(refute_11_486,plain,
op2(h4(e10),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_11_99,refute_11_485]) ).
cnf(refute_11_487,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e11)
| h4(op1(e10,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_11_488,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e11)) )],[refute_11_486,refute_11_487]) ).
cnf(refute_11_489,plain,
h4(op1(e10,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_11_472,refute_11_488]) ).
cnf(refute_11_490,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(canonicalize,[],[normalize_11_76]) ).
cnf(refute_11_491,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_11_77]) ).
cnf(refute_11_492,plain,
( op1(e10,e10) != e12
| op1(e13,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e10),op1(e13,e10)) ),[1],$fot(e12)]]) ).
cnf(refute_11_493,plain,
( op1(e10,e10) != e12
| op1(e10,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_11_158,refute_11_492]) ).
cnf(refute_11_494,plain,
op1(e10,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_11_493,refute_11_491]) ).
cnf(refute_11_495,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_11_490,refute_11_494]) ).
cnf(refute_11_496,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e10 ),
inference(canonicalize,[],[normalize_11_78]) ).
cnf(refute_11_497,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_11_79]) ).
cnf(refute_11_498,plain,
( op1(e10,e11) != e10
| op1(e11,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_11_499,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_11_183,refute_11_498]) ).
cnf(refute_11_500,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_11_499,refute_11_497]) ).
cnf(refute_11_501,plain,
op1(e10,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_11_496,refute_11_500]) ).
cnf(refute_11_502,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_11_495,refute_11_501]) ).
cnf(refute_11_503,plain,
( h4(op1(e10,e10)) != h1(e11)
| op1(e10,e10) != e13
| h4(e13) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_11_504,plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(e13) = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_11_502,refute_11_503]) ).
cnf(refute_11_505,plain,
( h4(e13) = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e11)) )],[refute_11_489,refute_11_504]) ).
cnf(refute_11_506,plain,
( h4(e13) != e23
| h4(e13) != h1(e11)
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),h1(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_11_507,plain,
( h4(e13) != h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_210,refute_11_506]) ).
cnf(refute_11_508,plain,
( e23 = h1(e11)
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(h4(e13),h1(e11)) )],[refute_11_505,refute_11_507]) ).
cnf(refute_11_509,plain,
( e23 != h1(e11)
| h1(e11) != e20
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_11_510,plain,
( e23 != h1(e11)
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_11_431,refute_11_509]) ).
cnf(refute_11_511,plain,
( e23 = e20
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_11_508,refute_11_510]) ).
cnf(refute_11_512,plain,
op1(e10,e10) = e10,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_11_511,refute_11_307]) ).
cnf(refute_11_513,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[0],$fot(e10)]]) ).
cnf(refute_11_514,plain,
( op1(e10,e10) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_11_512,refute_11_513]) ).
cnf(refute_11_515,plain,
( e12 != op1(e12,e13)
| e10 = e13
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_11_471,refute_11_514]) ).
cnf(refute_11_516,plain,
( e12 != op1(e12,e13)
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_11_515,refute_11_408]) ).
cnf(refute_11_517,plain,
( h4(op1(e12,e13)) != e20
| op2(e22,e23) != e20
| h4(op1(e12,e13)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_11_518,plain,
( h4(op1(e12,e13)) != e20
| h4(op1(e12,e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_11_439,refute_11_517]) ).
cnf(refute_11_519,plain,
h4(op1(e12,e13)) != e20,
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(e22,e23)) )],[refute_11_518,refute_11_341]) ).
cnf(refute_11_520,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(canonicalize,[],[normalize_11_80]) ).
cnf(refute_11_521,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_11_81]) ).
cnf(refute_11_522,plain,
( op1(e12,e13) != e11
| op1(e13,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_11_523,plain,
( op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_167,refute_11_522]) ).
cnf(refute_11_524,plain,
op1(e12,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_11_523,refute_11_521]) ).
cnf(refute_11_525,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_11_520,refute_11_524]) ).
cnf(refute_11_526,plain,
op1(e12,e10) != op1(e12,e13),
inference(canonicalize,[],[normalize_11_82]) ).
cnf(refute_11_527,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_11_83]) ).
cnf(refute_11_528,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_11_529,plain,
( h1(e11) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_11_99,refute_11_528]) ).
cnf(refute_11_530,plain,
h1(e11) != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_11_529,refute_11_527]) ).
cnf(refute_11_531,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(canonicalize,[],[normalize_11_84]) ).
cnf(refute_11_532,plain,
op2(h1(e11),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(h1(e11),op2(e20,e20)))]]) ).
cnf(refute_11_533,plain,
( op2(e20,e20) != h1(e11)
| op2(h1(e11),op2(e20,e20)) != op2(h1(e11),op2(e20,e20))
| op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_11_534,plain,
( op2(e20,e20) != h1(e11)
| op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) )],[refute_11_532,refute_11_533]) ).
cnf(refute_11_535,plain,
op2(h1(e11),op2(e20,e20)) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_11_99,refute_11_534]) ).
cnf(refute_11_536,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(op2(e20,e20),op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_11_537,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e20,e20),op2(e20,e20)) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_11_538,plain,
( op2(e20,e20) != h1(e11)
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))) )],[refute_11_536,refute_11_537]) ).
cnf(refute_11_539,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),op2(e20,e20)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_11_99,refute_11_538]) ).
cnf(refute_11_540,plain,
( op2(h1(e11),op2(e20,e20)) != op2(h1(e11),h1(e11))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e11),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(op2(e20,e20),op2(e20,e20)))),bind(Y,$fot(op2(h1(e11),op2(e20,e20)))),bind(Z,$fot(op2(h1(e11),h1(e11))))]]) ).
cnf(refute_11_541,plain,
( op2(h1(e11),op2(e20,e20)) != op2(h1(e11),h1(e11))
| op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e11),op2(e20,e20))) )],[refute_11_539,refute_11_540]) ).
cnf(refute_11_542,plain,
op2(op2(e20,e20),op2(e20,e20)) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(op2(h1(e11),op2(e20,e20)),op2(h1(e11),h1(e11))) )],[refute_11_535,refute_11_541]) ).
cnf(refute_11_543,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| op2(op2(e20,e20),op2(e20,e20)) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),h1(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e11),h1(e11))) ),[0],$fot(op2(op2(e20,e20),op2(e20,e20)))]]) ).
cnf(refute_11_544,plain,
( h1(e10) != op2(op2(e20,e20),op2(e20,e20))
| h1(e10) = op2(h1(e11),h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),op2(e20,e20)),op2(h1(e11),h1(e11))) )],[refute_11_542,refute_11_543]) ).
cnf(refute_11_545,plain,
h1(e10) = op2(h1(e11),h1(e11)),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),op2(e20,e20))) )],[refute_11_531,refute_11_544]) ).
cnf(refute_11_546,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e20
| h1(e10) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_11_547,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(e20,h1(e11))
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_11_140,refute_11_546]) ).
cnf(refute_11_548,plain,
( h1(e10) = op2(e20,h1(e11))
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_11_545,refute_11_547]) ).
cnf(refute_11_549,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e11) != e20
| h1(e10) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_11_550,plain,
( h1(e10) != op2(e20,h1(e11))
| h1(e10) = op2(e20,e20)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_11_140,refute_11_549]) ).
cnf(refute_11_551,plain,
( h1(e10) = op2(e20,e20)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e11))) )],[refute_11_548,refute_11_550]) ).
cnf(refute_11_552,plain,
( h1(e10) != op2(e20,e20)
| op2(e20,e20) != h1(e11)
| h1(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h1(e11)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_11_553,plain,
( h1(e10) != op2(e20,e20)
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_11_99,refute_11_552]) ).
cnf(refute_11_554,plain,
( h1(e10) = h1(e11)
| h1(e11) = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e20)) )],[refute_11_551,refute_11_553]) ).
cnf(refute_11_555,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e11) != e23
| h1(e10) = op2(h1(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_11_556,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = op2(h1(e11),e23)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_11_140,refute_11_555]) ).
cnf(refute_11_557,plain,
( h1(e10) = op2(h1(e11),e23)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_11_545,refute_11_556]) ).
cnf(refute_11_558,plain,
( h1(e10) != op2(h1(e11),e23)
| h1(e11) != e23
| h1(e10) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_11_559,plain,
( h1(e10) != op2(h1(e11),e23)
| h1(e10) = op2(e23,e23)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_11_140,refute_11_558]) ).
cnf(refute_11_560,plain,
( h1(e10) = op2(e23,e23)
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e23)) )],[refute_11_557,refute_11_559]) ).
cnf(refute_11_561,plain,
( h1(e10) != op2(e23,e23)
| op2(e23,e23) != e21
| h1(e10) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_11_562,plain,
( h1(e10) != op2(e23,e23)
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_42,refute_11_561]) ).
cnf(refute_11_563,plain,
( h1(e10) = e21
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e23,e23)) )],[refute_11_560,refute_11_562]) ).
cnf(refute_11_564,plain,
( h1(e11) != e23
| e20 = e23
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_11_563,refute_11_432]) ).
cnf(refute_11_565,plain,
( e20 = e23
| h1(e10) = e21
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_11_554,refute_11_564]) ).
cnf(refute_11_566,plain,
( h1(e10) = e21
| h1(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_11_565,refute_11_305]) ).
cnf(refute_11_567,plain,
( h1(e10) != h1(e11)
| h1(e11) = h1(e10) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_11_568,plain,
( h1(e10) = e21
| h1(e11) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),h1(e11)) )],[refute_11_566,refute_11_567]) ).
cnf(refute_11_569,plain,
( h1(e10) != op2(e20,e23)
| h1(e11) != h1(e10)
| h1(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),h1(e10)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_11_570,plain,
( h1(e10) != op2(e20,e23)
| h1(e10) = e21
| h1(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h1(e11),h1(e10)) )],[refute_11_568,refute_11_569]) ).
cnf(refute_11_571,plain,
( h1(e10) != op2(e20,e23)
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e23)) )],[refute_11_570,refute_11_530]) ).
cnf(refute_11_572,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_11_85]) ).
cnf(refute_11_573,plain,
( e21 = e20
| op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_11_572,refute_11_423]) ).
cnf(refute_11_574,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_11_573,refute_11_280]) ).
cnf(refute_11_575,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_11_86]) ).
cnf(refute_11_576,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) != h2(e11)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e11)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_11_577,plain,
( h2(e11) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_11_36,refute_11_576]) ).
cnf(refute_11_578,plain,
h2(e11) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_11_577,refute_11_575]) ).
cnf(refute_11_579,plain,
( e20 != op2(e21,e23)
| h2(e11) != e20
| h2(e11) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e20) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_11_580,plain,
( e20 != op2(e21,e23)
| h2(e11) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_11_63,refute_11_579]) ).
cnf(refute_11_581,plain,
e20 != op2(e21,e23),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,e23)) )],[refute_11_580,refute_11_578]) ).
cnf(refute_11_582,plain,
( op2(e21,e23) != e20
| e20 = op2(e21,e23) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e20))]]) ).
cnf(refute_11_583,plain,
op2(e21,e23) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e23)) )],[refute_11_582,refute_11_581]) ).
cnf(refute_11_584,plain,
( op2(e20,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_11_574,refute_11_583]) ).
cnf(refute_11_585,plain,
( op2(e22,e20) != e20
| op2(e22,e23) != e20
| op2(e22,e20) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_11_586,plain,
( op2(e22,e20) != e20
| op2(e20,e23) = e20
| op2(e22,e20) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_11_584,refute_11_585]) ).
cnf(refute_11_587,plain,
( op2(e22,e20) != e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e23)) )],[refute_11_586,refute_11_349]) ).
cnf(refute_11_588,plain,
( e20 != e20
| op2(e22,e20) != e20
| op2(e22,e20) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0,1],$fot(e20)]]) ).
cnf(refute_11_589,plain,
( e20 != e20
| op1(e12,e10) = e13
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_11_202,refute_11_588]) ).
cnf(refute_11_590,plain,
( e20 != e20
| op1(e12,e10) = e13
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_11_589,refute_11_587]) ).
cnf(refute_11_591,plain,
( op1(e12,e10) = e13
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_11_135,refute_11_590]) ).
cnf(refute_11_592,plain,
( h1(e10) != e20
| op2(e20,e23) != e20
| h1(e10) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e20,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_11_593,plain,
( h1(e10) != e20
| h1(e10) = op2(e20,e23)
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_11_591,refute_11_592]) ).
cnf(refute_11_594,plain,
( h1(e10) != e20
| h1(e10) = e21
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e23)) )],[refute_11_593,refute_11_571]) ).
cnf(refute_11_595,plain,
( h1(e10) != e20
| h1(e10) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e21) ),[0],$fot(e20)]]) ).
cnf(refute_11_596,plain,
( h1(e10) != e20
| e20 = e21
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_11_594,refute_11_595]) ).
cnf(refute_11_597,plain,
( h1(e10) != e20
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_11_596,refute_11_245]) ).
cnf(refute_11_598,plain,
( h1(e11) != e20
| op2(e20,e20) != h1(e11)
| op2(e20,e20) = e20 ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(e20,e20))),bind(Y,$fot(h1(e11))),bind(Z,$fot(e20))]]) ).
cnf(refute_11_599,plain,
( h1(e11) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_11_99,refute_11_598]) ).
cnf(refute_11_600,plain,
op2(e20,e20) = e20,
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_11_431,refute_11_599]) ).
cnf(refute_11_601,plain,
op2(e20,h1(e11)) = op2(e20,h1(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h1(e11)))]]) ).
cnf(refute_11_602,plain,
( h1(e11) != e20
| op2(e20,h1(e11)) != op2(e20,h1(e11))
| op2(e20,h1(e11)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,h1(e11))) ),[1,1],$fot(e20)]]) ).
cnf(refute_11_603,plain,
( h1(e11) != e20
| op2(e20,h1(e11)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,h1(e11))) )],[refute_11_601,refute_11_602]) ).
cnf(refute_11_604,plain,
op2(e20,h1(e11)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_11_431,refute_11_603]) ).
cnf(refute_11_605,plain,
op2(h1(e11),h1(e11)) = op2(h1(e11),h1(e11)),
introduced(tautology,[refl,[$fot(op2(h1(e11),h1(e11)))]]) ).
cnf(refute_11_606,plain,
( h1(e11) != e20
| op2(h1(e11),h1(e11)) != op2(h1(e11),h1(e11))
| op2(h1(e11),h1(e11)) = op2(e20,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),h1(e11)),op2(h1(e11),h1(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_11_607,plain,
( h1(e11) != e20
| op2(h1(e11),h1(e11)) = op2(e20,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),h1(e11)),op2(h1(e11),h1(e11))) )],[refute_11_605,refute_11_606]) ).
cnf(refute_11_608,plain,
op2(h1(e11),h1(e11)) = op2(e20,h1(e11)),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_11_431,refute_11_607]) ).
cnf(refute_11_609,plain,
( op2(e20,h1(e11)) != op2(e20,e20)
| op2(h1(e11),h1(e11)) != op2(e20,h1(e11))
| op2(h1(e11),h1(e11)) = op2(e20,e20) ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(h1(e11),h1(e11)))),bind(Y,$fot(op2(e20,h1(e11)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_11_610,plain,
( op2(e20,h1(e11)) != op2(e20,e20)
| op2(h1(e11),h1(e11)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),h1(e11)),op2(e20,h1(e11))) )],[refute_11_608,refute_11_609]) ).
cnf(refute_11_611,plain,
op2(h1(e11),h1(e11)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h1(e11)),op2(e20,e20)) )],[refute_11_604,refute_11_610]) ).
cnf(refute_11_612,plain,
( op2(e20,e20) != e20
| op2(h1(e11),h1(e11)) != op2(e20,e20)
| op2(h1(e11),h1(e11)) = e20 ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(h1(e11),h1(e11)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e20))]]) ).
cnf(refute_11_613,plain,
( op2(e20,e20) != e20
| op2(h1(e11),h1(e11)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h1(e11),h1(e11)),op2(e20,e20)) )],[refute_11_611,refute_11_612]) ).
cnf(refute_11_614,plain,
op2(h1(e11),h1(e11)) = e20,
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_11_600,refute_11_613]) ).
cnf(refute_11_615,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| op2(h1(e11),h1(e11)) != e20
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),e20) ),[0],$fot(op2(h1(e11),h1(e11)))]]) ).
cnf(refute_11_616,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| h1(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(h1(e11),h1(e11)),e20) )],[refute_11_614,refute_11_615]) ).
cnf(refute_11_617,plain,
h1(e10) = e20,
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),h1(e11))) )],[refute_11_545,refute_11_616]) ).
cnf(refute_11_618,plain,
( e20 != e20
| h1(e10) != e20
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_11_619,plain,
( e20 != e20
| h1(e10) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_11_617,refute_11_618]) ).
cnf(refute_11_620,plain,
( e20 != e20
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_11_619,refute_11_597]) ).
cnf(refute_11_621,plain,
op1(e12,e10) = e13,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_11_135,refute_11_620]) ).
cnf(refute_11_622,plain,
( e13 != op1(e12,e13)
| op1(e12,e10) != e13
| op1(e12,e10) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e13) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_11_623,plain,
( e13 != op1(e12,e13)
| op1(e12,e10) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_11_621,refute_11_622]) ).
cnf(refute_11_624,plain,
e13 != op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e13)) )],[refute_11_623,refute_11_526]) ).
cnf(refute_11_625,plain,
( op1(e12,e13) != e13
| e13 = op1(e12,e13) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).
cnf(refute_11_626,plain,
op1(e12,e13) != e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_11_625,refute_11_624]) ).
cnf(refute_11_627,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_11_525,refute_11_626]) ).
cnf(refute_11_628,plain,
( h4(e10) != e20
| op1(e12,e13) != e10
| h4(op1(e12,e13)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e13)),e20) ),[0,0],$fot(e10)]]) ).
cnf(refute_11_629,plain,
( h4(e10) != e20
| h4(op1(e12,e13)) = e20
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_11_627,refute_11_628]) ).
cnf(refute_11_630,plain,
( h4(e10) != e20
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),e20) )],[refute_11_629,refute_11_519]) ).
cnf(refute_11_631,plain,
( e20 != e20
| h4(e10) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_11_632,plain,
( e20 != e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_11_74,refute_11_631]) ).
cnf(refute_11_633,plain,
( e20 != e20
| op1(e12,e13) = e12 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_11_632,refute_11_630]) ).
cnf(refute_11_634,plain,
op1(e12,e13) = e12,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_11_135,refute_11_633]) ).
cnf(refute_11_635,plain,
( e12 != e12
| op1(e12,e13) != e12
| e12 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e12,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_11_636,plain,
( e12 != e12
| e12 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_11_634,refute_11_635]) ).
cnf(refute_11_637,plain,
( e12 != e12
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_11_636,refute_11_516]) ).
cnf(refute_11_638,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_11_639,plain,
op1(e12,e12) = e11,
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_11_638,refute_11_637]) ).
cnf(refute_11_640,plain,
h4(op1(e12,e12)) = h4(op1(e12,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e12)))]]) ).
cnf(refute_11_641,plain,
( h4(op1(e12,e12)) != h4(op1(e12,e12))
| op1(e12,e12) != e11
| h4(op1(e12,e12)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) ),[1,0],$fot(e11)]]) ).
cnf(refute_11_642,plain,
( op1(e12,e12) != e11
| h4(op1(e12,e12)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) )],[refute_11_640,refute_11_641]) ).
cnf(refute_11_643,plain,
h4(op1(e12,e12)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_11_639,refute_11_642]) ).
cnf(refute_11_644,plain,
( h4(e11) != e21
| h4(op1(e12,e12)) != h4(e11)
| h4(op1(e12,e12)) = e21 ),
inference(subst,[],[refute_11_52:[bind(X,$fot(h4(op1(e12,e12)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_11_645,plain,
( h4(e11) != e21
| h4(op1(e12,e12)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(e11)) )],[refute_11_643,refute_11_644]) ).
cnf(refute_11_646,plain,
h4(op1(e12,e12)) = e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_11_443,refute_11_645]) ).
cnf(refute_11_647,plain,
( h4(op1(e12,e12)) != e21
| h4(op1(e12,e12)) != h3(e11)
| e21 = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),h3(e11)) ),[0],$fot(e21)]]) ).
cnf(refute_11_648,plain,
( h4(op1(e12,e12)) != h3(e11)
| e21 = h3(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),e21) )],[refute_11_646,refute_11_647]) ).
cnf(refute_11_649,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_11_87]) ).
cnf(refute_11_650,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_11_88]) ).
cnf(refute_11_651,plain,
h4(op1(e12,e11)) = op2(h4(e12),h4(e11)),
inference(canonicalize,[],[normalize_11_89]) ).
cnf(refute_11_652,plain,
op2(e22,h4(e11)) = op2(e22,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e11)))]]) ).
cnf(refute_11_653,plain,
( h4(e11) != e21
| op2(e22,h4(e11)) != op2(e22,h4(e11))
| op2(e22,h4(e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_11_654,plain,
( h4(e11) != e21
| op2(e22,h4(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) )],[refute_11_652,refute_11_653]) ).
cnf(refute_11_655,plain,
op2(e22,h4(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_11_443,refute_11_654]) ).
cnf(refute_11_656,plain,
op2(h4(e12),h4(e11)) = op2(h4(e12),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_11_657,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) = op2(e22,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) ),[1,0],$fot(e22)]]) ).
cnf(refute_11_658,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e11)) = op2(e22,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) )],[refute_11_656,refute_11_657]) ).
cnf(refute_11_659,plain,
op2(h4(e12),h4(e11)) = op2(e22,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_11_85,refute_11_658]) ).
cnf(refute_11_660,plain,
( op2(e22,h4(e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) != op2(e22,h4(e11))
| op2(h4(e12),h4(e11)) = op2(e22,e21) ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e22,h4(e11)))),bind(Z,$fot(op2(e22,e21)))]]) ).
cnf(refute_11_661,plain,
( op2(e22,h4(e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,h4(e11))) )],[refute_11_659,refute_11_660]) ).
cnf(refute_11_662,plain,
op2(h4(e12),h4(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,e21)) )],[refute_11_655,refute_11_661]) ).
cnf(refute_11_663,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) != op2(e22,e21)
| h4(op1(e12,e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e22,e21)) ),[0],$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_11_664,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,e21)) )],[refute_11_662,refute_11_663]) ).
cnf(refute_11_665,plain,
h4(op1(e12,e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) )],[refute_11_651,refute_11_664]) ).
cnf(refute_11_666,plain,
( op1(e12,e12) != e11
| op1(e12,e11) = e12 ),
inference(canonicalize,[],[normalize_11_90]) ).
cnf(refute_11_667,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(canonicalize,[],[normalize_11_91]) ).
cnf(refute_11_668,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_11_667,refute_11_524]) ).
cnf(refute_11_669,plain,
( op1(e12,e11) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_11_668,refute_11_193]) ).
cnf(refute_11_670,plain,
( e11 != e11
| op1(e12,e12) != e11
| op1(e12,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e11) ),[1],$fot(e11)]]) ).
cnf(refute_11_671,plain,
( e11 != e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_11_669,refute_11_670]) ).
cnf(refute_11_672,plain,
( e11 != e11
| op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_11_671,refute_11_666]) ).
cnf(refute_11_673,plain,
( op1(e12,e11) = e11
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_11_377,refute_11_672]) ).
cnf(refute_11_674,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| op1(e12,e11) != e11
| h4(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),op2(e22,e21)) ),[0,0],$fot(e11)]]) ).
cnf(refute_11_675,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| h4(e11) = op2(e22,e21)
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_11_673,refute_11_674]) ).
cnf(refute_11_676,plain,
( h4(e11) = op2(e22,e21)
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e22,e21)) )],[refute_11_665,refute_11_675]) ).
cnf(refute_11_677,plain,
( h4(e11) != e21
| h4(e11) != op2(e22,e21)
| e21 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e22,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_11_678,plain,
( h4(e11) != op2(e22,e21)
| e21 = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_11_443,refute_11_677]) ).
cnf(refute_11_679,plain,
( e21 = op2(e22,e21)
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e22,e21)) )],[refute_11_676,refute_11_678]) ).
cnf(refute_11_680,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(canonicalize,[],[normalize_11_92]) ).
cnf(refute_11_681,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_11_682,plain,
( op2(e21,e21) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e11)) )],[refute_11_36,refute_11_681]) ).
cnf(refute_11_683,plain,
( h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_11_680,refute_11_682]) ).
cnf(refute_11_684,plain,
( op2(e23,e21) != e22
| op2(e23,e21) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e22) ),[0],$fot(e23)]]) ).
cnf(refute_11_685,plain,
( op2(e23,e21) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_11_301,refute_11_684]) ).
cnf(refute_11_686,plain,
( e23 = e22
| h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_11_683,refute_11_685]) ).
cnf(refute_11_687,plain,
e22 != e23,
inference(canonicalize,[],[normalize_11_93]) ).
cnf(refute_11_688,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_11_689,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_11_688,refute_11_687]) ).
cnf(refute_11_690,plain,
( h2(e11) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_11_686,refute_11_689]) ).
cnf(refute_11_691,plain,
( h2(e11) != e20
| h2(e11) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[0],$fot(e20)]]) ).
cnf(refute_11_692,plain,
( h2(e11) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_11_63,refute_11_691]) ).
cnf(refute_11_693,plain,
( e20 = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_11_690,refute_11_692]) ).
cnf(refute_11_694,plain,
( op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_11_693,refute_11_272]) ).
cnf(refute_11_695,plain,
( e21 != op2(e22,e21)
| op2(e22,e21) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e22) ),[0],$fot(op2(e22,e21))]]) ).
cnf(refute_11_696,plain,
( e21 != op2(e22,e21)
| e21 = e22
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_11_694,refute_11_695]) ).
cnf(refute_11_697,plain,
( e21 = e22
| op1(e12,e11) = e12
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_11_679,refute_11_696]) ).
cnf(refute_11_698,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_11_94]) ).
cnf(refute_11_699,plain,
( e22 != op2(e23,e23)
| op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e22) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_11_700,plain,
( e22 != op2(e23,e23)
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_11_27,refute_11_699]) ).
cnf(refute_11_701,plain,
( e22 != e21
| op2(e23,e23) != e21
| e22 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_11_702,plain,
( e22 != e21
| e22 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_42,refute_11_701]) ).
cnf(refute_11_703,plain,
( e22 != e21
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_11_702,refute_11_700]) ).
cnf(refute_11_704,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_11_703,refute_11_698]) ).
cnf(refute_11_705,plain,
( e21 != e22
| e22 = e21 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e21)),bind(Y,$fot(e22))]]) ).
cnf(refute_11_706,plain,
e21 != e22,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_11_705,refute_11_704]) ).
cnf(refute_11_707,plain,
( op1(e12,e11) = e12
| op2(e20,e21) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_11_697,refute_11_706]) ).
cnf(refute_11_708,plain,
( e22 != op2(e22,e21)
| op2(e20,e21) != e22
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_11_709,plain,
( e22 != op2(e22,e21)
| op1(e12,e11) = e12
| op2(e20,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_11_707,refute_11_708]) ).
cnf(refute_11_710,plain,
( e22 != op2(e22,e21)
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_11_709,refute_11_650]) ).
cnf(refute_11_711,plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(canonicalize,[],[normalize_11_95]) ).
cnf(refute_11_712,plain,
( h3(e11) = e22
| op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_11_711,refute_11_235]) ).
cnf(refute_11_713,plain,
( h3(e11) = e22
| op2(e22,e21) = e22
| op2(e22,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_11_712,refute_11_30]) ).
cnf(refute_11_714,plain,
( op2(e22,e23) != e20
| op2(e22,e23) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e22) ),[0],$fot(e20)]]) ).
cnf(refute_11_715,plain,
( op2(e22,e23) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_11_439,refute_11_714]) ).
cnf(refute_11_716,plain,
( e20 = e22
| h3(e11) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_11_713,refute_11_715]) ).
cnf(refute_11_717,plain,
( h3(e11) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_11_716,refute_11_272]) ).
cnf(refute_11_718,plain,
( e22 != e22
| op2(e22,e21) != e22
| e22 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_11_719,plain,
( e22 != e22
| e22 = op2(e22,e21)
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_11_717,refute_11_718]) ).
cnf(refute_11_720,plain,
( e22 != e22
| h3(e11) = e22
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e22,op2(e22,e21)) )],[refute_11_719,refute_11_710]) ).
cnf(refute_11_721,plain,
( h3(e11) = e22
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_11_366,refute_11_720]) ).
cnf(refute_11_722,plain,
( e12 != op1(e12,e13)
| op1(e12,e11) != e12
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_11_723,plain,
( e12 != op1(e12,e13)
| h3(e11) = e22
| op1(e12,e11) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_11_721,refute_11_722]) ).
cnf(refute_11_724,plain,
( e12 != op1(e12,e13)
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_11_723,refute_11_649]) ).
cnf(refute_11_725,plain,
( e12 != e12
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_11_636,refute_11_724]) ).
cnf(refute_11_726,plain,
h3(e11) = e22,
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_11_638,refute_11_725]) ).
cnf(refute_11_727,plain,
( e21 != h3(e11)
| h3(e11) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_11_728,plain,
( e21 != h3(e11)
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_11_726,refute_11_727]) ).
cnf(refute_11_729,plain,
( h4(op1(e12,e12)) != h3(e11)
| e21 = e22 ),
inference(resolve,[$cnf( $equal(e21,h3(e11)) )],[refute_11_648,refute_11_728]) ).
cnf(refute_11_730,plain,
e21 = e22,
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h3(e11)) )],[refute_11_326,refute_11_729]) ).
cnf(refute_11_731,plain,
e22 = e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_11_730,refute_11_705]) ).
cnf(refute_11_732,plain,
op2(e22,e23) = op2(e22,e23),
introduced(tautology,[refl,[$fot(op2(e22,e23))]]) ).
cnf(refute_11_733,plain,
( e22 != e21
| op2(e22,e23) != op2(e22,e23)
| op2(e22,e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),op2(e22,e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_11_734,plain,
( e22 != e21
| op2(e22,e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e22,e23)) )],[refute_11_732,refute_11_733]) ).
cnf(refute_11_735,plain,
op2(e22,e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_11_731,refute_11_734]) ).
cnf(refute_11_736,plain,
( op2(e22,e23) != e20
| op2(e22,e23) != op2(e21,e23)
| op2(e21,e23) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e20) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_11_737,plain,
( op2(e22,e23) != e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e21,e23)) )],[refute_11_735,refute_11_736]) ).
cnf(refute_11_738,plain,
op2(e21,e23) = e20,
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_11_439,refute_11_737]) ).
cnf(refute_11_739,plain,
op2(e23,e22) = op2(e23,e22),
introduced(tautology,[refl,[$fot(op2(e23,e22))]]) ).
cnf(refute_11_740,plain,
( e22 != e21
| op2(e23,e22) != op2(e23,e22)
| op2(e23,e22) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e23,e22)) ),[1,1],$fot(e21)]]) ).
cnf(refute_11_741,plain,
( e22 != e21
| op2(e23,e22) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e22)) )],[refute_11_739,refute_11_740]) ).
cnf(refute_11_742,plain,
op2(e23,e22) = op2(e23,e21),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_11_731,refute_11_741]) ).
cnf(refute_11_743,plain,
( op2(e23,e21) != e23
| op2(e23,e22) != op2(e23,e21)
| op2(e23,e22) = e23 ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(e23,e22))),bind(Y,$fot(op2(e23,e21))),bind(Z,$fot(e23))]]) ).
cnf(refute_11_744,plain,
( op2(e23,e21) != e23
| op2(e23,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e21)) )],[refute_11_742,refute_11_743]) ).
cnf(refute_11_745,plain,
op2(e23,e22) = e23,
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_11_301,refute_11_744]) ).
cnf(refute_11_746,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e20) ),[0],$fot(e23)]]) ).
cnf(refute_11_747,plain,
( op2(e23,e22) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e23) )],[refute_11_745,refute_11_746]) ).
cnf(refute_11_748,plain,
e23 = e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_11_427,refute_11_747]) ).
cnf(refute_11_749,plain,
op2(e21,e23) = op2(e21,e23),
introduced(tautology,[refl,[$fot(op2(e21,e23))]]) ).
cnf(refute_11_750,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_11_751,plain,
( e23 != e20
| op2(e21,e23) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e21,e23)) )],[refute_11_749,refute_11_750]) ).
cnf(refute_11_752,plain,
op2(e21,e23) = op2(e21,e20),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_11_748,refute_11_751]) ).
cnf(refute_11_753,plain,
( op2(e21,e20) != e21
| op2(e21,e23) != op2(e21,e20)
| op2(e21,e23) = e21 ),
inference(subst,[],[refute_11_52:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(e21))]]) ).
cnf(refute_11_754,plain,
( op2(e21,e20) != e21
| op2(e21,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e21,e20)) )],[refute_11_752,refute_11_753]) ).
cnf(refute_11_755,plain,
op2(e21,e23) = e21,
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_11_136,refute_11_754]) ).
cnf(refute_11_756,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(e21)]]) ).
cnf(refute_11_757,plain,
( op2(e21,e23) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_11_755,refute_11_756]) ).
cnf(refute_11_758,plain,
e21 = e20,
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_11_738,refute_11_757]) ).
cnf(refute_11_759,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_11_758,refute_11_280]) ).
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,
( 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_1,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_12_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_12_1]) ).
fof(normalize_12_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_12_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_12_3]) ).
fof(normalize_12_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_12_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_12_5]) ).
fof(normalize_12_7,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_0,normalize_12_2,normalize_12_4,normalize_12_6]) ).
fof(normalize_12_8,plain,
h4(op1(e13,e10)) != op2(h4(e13),h4(e10)),
inference(conjunct,[],[normalize_12_7]) ).
fof(normalize_12_9,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_12_10,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_11,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_12_12,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_12_11]) ).
fof(normalize_12_13,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_12_11]) ).
fof(normalize_12_14,plain,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_12_15,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(conjunct,[],[normalize_12_14]) ).
fof(normalize_12_16,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(conjunct,[],[normalize_12_14]) ).
fof(normalize_12_17,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_18,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_12_9]) ).
cnf(refute_12_0,plain,
h4(op1(e13,e10)) != op2(h4(e13),h4(e10)),
inference(canonicalize,[],[normalize_12_8]) ).
cnf(refute_12_1,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_12_10]) ).
cnf(refute_12_2,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_12_12]) ).
cnf(refute_12_3,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_12_13]) ).
cnf(refute_12_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_12_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_12_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_12_4,refute_12_5]) ).
cnf(refute_12_7,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = e20 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_12_8,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_12_3,refute_12_7]) ).
cnf(refute_12_9,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
introduced(tautology,[refl,[$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_12_10,plain,
( op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) ),[1,1],$fot(e20)]]) ).
cnf(refute_12_11,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_12_9,refute_12_10]) ).
cnf(refute_12_12,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_12_8,refute_12_11]) ).
cnf(refute_12_13,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e20)) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_12_14,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_12_12,refute_12_13]) ).
cnf(refute_12_15,plain,
e22 = op2(e23,e20),
inference(resolve,[$cnf( $equal(e22,op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_12_2,refute_12_14]) ).
cnf(refute_12_16,plain,
( e22 != op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_12_17,plain,
op2(e23,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_12_15,refute_12_16]) ).
cnf(refute_12_18,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_12_19,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_12_6,refute_12_18]) ).
cnf(refute_12_20,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(subst,[],[refute_12_19:[bind(X,$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(e22))]]) ).
cnf(refute_12_21,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_12_12,refute_12_20]) ).
cnf(refute_12_22,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22,
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_12_17,refute_12_21]) ).
cnf(refute_12_23,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_12_24,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),e22) )],[refute_12_22,refute_12_23]) ).
cnf(refute_12_25,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_12_1,refute_12_24]) ).
cnf(refute_12_26,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(canonicalize,[],[normalize_12_15]) ).
cnf(refute_12_27,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(canonicalize,[],[normalize_12_16]) ).
cnf(refute_12_28,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = e10 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_12_29,plain,
op1(op1(e13,e13),op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_12_27,refute_12_28]) ).
cnf(refute_12_30,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
introduced(tautology,[refl,[$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_12_31,plain,
( op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) ),[1,1],$fot(e10)]]) ).
cnf(refute_12_32,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_12_30,refute_12_31]) ).
cnf(refute_12_33,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e10) )],[refute_12_29,refute_12_32]) ).
cnf(refute_12_34,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,e10)
| e12 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e10)) ),[0],$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_12_35,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| e12 = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,e10)) )],[refute_12_33,refute_12_34]) ).
cnf(refute_12_36,plain,
e12 = op1(e13,e10),
inference(resolve,[$cnf( $equal(e12,op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_12_26,refute_12_35]) ).
cnf(refute_12_37,plain,
( e12 != op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e10)))]]) ).
cnf(refute_12_38,plain,
op1(e13,e10) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e10)) )],[refute_12_36,refute_12_37]) ).
cnf(refute_12_39,plain,
h4(op1(e13,e10)) = h4(op1(e13,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e10)))]]) ).
cnf(refute_12_40,plain,
( h4(op1(e13,e10)) != h4(op1(e13,e10))
| op1(e13,e10) != e12
| h4(op1(e13,e10)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),h4(op1(e13,e10))) ),[1,0],$fot(e12)]]) ).
cnf(refute_12_41,plain,
( op1(e13,e10) != e12
| h4(op1(e13,e10)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(op1(e13,e10))) )],[refute_12_39,refute_12_40]) ).
cnf(refute_12_42,plain,
h4(op1(e13,e10)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_12_38,refute_12_41]) ).
cnf(refute_12_43,plain,
( h4(e12) != e22
| h4(op1(e13,e10)) != h4(e12)
| h4(op1(e13,e10)) = e22 ),
inference(subst,[],[refute_12_19:[bind(X,$fot(h4(op1(e13,e10)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_12_44,plain,
( h4(e12) != e22
| h4(op1(e13,e10)) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(e12)) )],[refute_12_42,refute_12_43]) ).
cnf(refute_12_45,plain,
h4(op1(e13,e10)) = e22,
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_12_25,refute_12_44]) ).
cnf(refute_12_46,plain,
( e22 != op2(h4(e13),h4(e10))
| h4(op1(e13,e10)) != e22
| h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),e22) ),[1],$fot(op2(h4(e13),h4(e10)))]]) ).
cnf(refute_12_47,plain,
( e22 != op2(h4(e13),h4(e10))
| h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),e22) )],[refute_12_45,refute_12_46]) ).
cnf(refute_12_48,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_12_17]) ).
cnf(refute_12_49,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_12_50,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_12_8,refute_12_49]) ).
cnf(refute_12_51,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_12_48,refute_12_50]) ).
cnf(refute_12_52,plain,
op2(e23,h4(e10)) = op2(e23,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e10)))]]) ).
cnf(refute_12_53,plain,
( h4(e10) != e20
| op2(e23,h4(e10)) != op2(e23,h4(e10))
| op2(e23,h4(e10)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_12_54,plain,
( h4(e10) != e20
| op2(e23,h4(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) )],[refute_12_52,refute_12_53]) ).
cnf(refute_12_55,plain,
op2(e23,h4(e10)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_12_51,refute_12_54]) ).
cnf(refute_12_56,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_12_18]) ).
cnf(refute_12_57,plain,
op2(h4(e13),h4(e10)) = op2(h4(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e10)))]]) ).
cnf(refute_12_58,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e10)) != op2(h4(e13),h4(e10))
| op2(h4(e13),h4(e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_12_59,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e10)) = op2(e23,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) )],[refute_12_57,refute_12_58]) ).
cnf(refute_12_60,plain,
op2(h4(e13),h4(e10)) = op2(e23,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_56,refute_12_59]) ).
cnf(refute_12_61,plain,
( op2(e23,h4(e10)) != op2(e23,e20)
| op2(h4(e13),h4(e10)) != op2(e23,h4(e10))
| op2(h4(e13),h4(e10)) = op2(e23,e20) ),
inference(subst,[],[refute_12_19:[bind(X,$fot(op2(h4(e13),h4(e10)))),bind(Y,$fot(op2(e23,h4(e10)))),bind(Z,$fot(op2(e23,e20)))]]) ).
cnf(refute_12_62,plain,
( op2(e23,h4(e10)) != op2(e23,e20)
| op2(h4(e13),h4(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e23,h4(e10))) )],[refute_12_60,refute_12_61]) ).
cnf(refute_12_63,plain,
op2(h4(e13),h4(e10)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,e20)) )],[refute_12_55,refute_12_62]) ).
cnf(refute_12_64,plain,
( op2(e23,e20) != e22
| op2(h4(e13),h4(e10)) != op2(e23,e20)
| op2(h4(e13),h4(e10)) = e22 ),
inference(subst,[],[refute_12_19:[bind(X,$fot(op2(h4(e13),h4(e10)))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(e22))]]) ).
cnf(refute_12_65,plain,
( op2(e23,e20) != e22
| op2(h4(e13),h4(e10)) = e22 ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e23,e20)) )],[refute_12_63,refute_12_64]) ).
cnf(refute_12_66,plain,
op2(h4(e13),h4(e10)) = e22,
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_12_17,refute_12_65]) ).
cnf(refute_12_67,plain,
( e22 != e22
| op2(h4(e13),h4(e10)) != e22
| e22 = op2(h4(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(h4(e13),h4(e10))) ),[1],$fot(e22)]]) ).
cnf(refute_12_68,plain,
( e22 != e22
| e22 = op2(h4(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),e22) )],[refute_12_66,refute_12_67]) ).
cnf(refute_12_69,plain,
( e22 != e22
| h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(e22,op2(h4(e13),h4(e10))) )],[refute_12_68,refute_12_47]) ).
cnf(refute_12_70,plain,
e22 != e22,
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(h4(e13),h4(e10))) )],[refute_12_69,refute_12_0]) ).
cnf(refute_12_71,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_12_72,plain,
$false,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_12_71,refute_12_70]) ).
fof(negate_13_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) )
=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
inference(negate,[],[subgoal_13]) ).
fof(normalize_13_0,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_13_0]) ).
fof(normalize_13_1,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_13_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_13_1]) ).
fof(normalize_13_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_13_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_13_3]) ).
fof(normalize_13_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_13_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_13_5]) ).
fof(normalize_13_7,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_13_0,normalize_13_2,normalize_13_4,normalize_13_6]) ).
fof(normalize_13_8,plain,
h4(op1(e13,e11)) != op2(h4(e13),h4(e11)),
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_9,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_13_10,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_13_9]) ).
fof(normalize_13_11,plain,
( ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_13_12,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_13_11]) ).
fof(normalize_13_13,plain,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_13_14,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_13_13]) ).
fof(normalize_13_15,plain,
( ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_13_16,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_13_15]) ).
fof(normalize_13_17,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_13_18,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_13_17]) ).
fof(normalize_13_19,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_13_9]) ).
cnf(refute_13_0,plain,
h4(op1(e13,e11)) != op2(h4(e13),h4(e11)),
inference(canonicalize,[],[normalize_13_8]) ).
cnf(refute_13_1,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_13_10]) ).
cnf(refute_13_2,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_13_12]) ).
cnf(refute_13_3,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_13_14]) ).
cnf(refute_13_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_13_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_13_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_13_4,refute_13_5]) ).
cnf(refute_13_7,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_13_8,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_13_3,refute_13_7]) ).
cnf(refute_13_9,plain,
( e11 != e11
| op1(e13,e13) != e11
| op1(e13,e13) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).
cnf(refute_13_10,plain,
( e11 != e11
| op1(e13,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_13_8,refute_13_9]) ).
cnf(refute_13_11,plain,
( e11 != e11
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_13_10,refute_13_2]) ).
cnf(refute_13_12,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_13_13,plain,
op1(e13,e11) = e13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_13_12,refute_13_11]) ).
cnf(refute_13_14,plain,
h4(op1(e13,e11)) = h4(op1(e13,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e11)))]]) ).
cnf(refute_13_15,plain,
( h4(op1(e13,e11)) != h4(op1(e13,e11))
| op1(e13,e11) != e13
| h4(op1(e13,e11)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),h4(op1(e13,e11))) ),[1,0],$fot(e13)]]) ).
cnf(refute_13_16,plain,
( op1(e13,e11) != e13
| h4(op1(e13,e11)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h4(op1(e13,e11))) )],[refute_13_14,refute_13_15]) ).
cnf(refute_13_17,plain,
h4(op1(e13,e11)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_13_13,refute_13_16]) ).
cnf(refute_13_18,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_13_19,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_13_6,refute_13_18]) ).
cnf(refute_13_20,plain,
( h4(e13) != e23
| h4(op1(e13,e11)) != h4(e13)
| h4(op1(e13,e11)) = e23 ),
inference(subst,[],[refute_13_19:[bind(X,$fot(h4(op1(e13,e11)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_13_21,plain,
( h4(e13) != e23
| h4(op1(e13,e11)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h4(e13)) )],[refute_13_17,refute_13_20]) ).
cnf(refute_13_22,plain,
h4(op1(e13,e11)) = e23,
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_13_1,refute_13_21]) ).
cnf(refute_13_23,plain,
( e23 != op2(h4(e13),h4(e11))
| h4(op1(e13,e11)) != e23
| h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),e23) ),[1],$fot(op2(h4(e13),h4(e11)))]]) ).
cnf(refute_13_24,plain,
( e23 != op2(h4(e13),h4(e11))
| h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),e23) )],[refute_13_22,refute_13_23]) ).
cnf(refute_13_25,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_13_16]) ).
cnf(refute_13_26,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_13_18]) ).
cnf(refute_13_27,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_13_28,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_13_26,refute_13_27]) ).
cnf(refute_13_29,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_13_30,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_28,refute_13_29]) ).
cnf(refute_13_31,plain,
( e21 != e21
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_30,refute_13_25]) ).
cnf(refute_13_32,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_13_33,plain,
op2(e23,e21) = e23,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_13_32,refute_13_31]) ).
cnf(refute_13_34,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_13_19]) ).
cnf(refute_13_35,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_13_36,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_28,refute_13_35]) ).
cnf(refute_13_37,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_13_34,refute_13_36]) ).
cnf(refute_13_38,plain,
op2(e23,h4(e11)) = op2(e23,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e11)))]]) ).
cnf(refute_13_39,plain,
( h4(e11) != e21
| op2(e23,h4(e11)) != op2(e23,h4(e11))
| op2(e23,h4(e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_40,plain,
( h4(e11) != e21
| op2(e23,h4(e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) )],[refute_13_38,refute_13_39]) ).
cnf(refute_13_41,plain,
op2(e23,h4(e11)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_37,refute_13_40]) ).
cnf(refute_13_42,plain,
op2(h4(e13),h4(e11)) = op2(h4(e13),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e11)))]]) ).
cnf(refute_13_43,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e11)) != op2(h4(e13),h4(e11))
| op2(h4(e13),h4(e11)) = op2(e23,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(h4(e13),h4(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_13_44,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e11)) = op2(e23,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(h4(e13),h4(e11))) )],[refute_13_42,refute_13_43]) ).
cnf(refute_13_45,plain,
op2(h4(e13),h4(e11)) = op2(e23,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_13_1,refute_13_44]) ).
cnf(refute_13_46,plain,
( op2(e23,h4(e11)) != op2(e23,e21)
| op2(h4(e13),h4(e11)) != op2(e23,h4(e11))
| op2(h4(e13),h4(e11)) = op2(e23,e21) ),
inference(subst,[],[refute_13_19:[bind(X,$fot(op2(h4(e13),h4(e11)))),bind(Y,$fot(op2(e23,h4(e11)))),bind(Z,$fot(op2(e23,e21)))]]) ).
cnf(refute_13_47,plain,
( op2(e23,h4(e11)) != op2(e23,e21)
| op2(h4(e13),h4(e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e23,h4(e11))) )],[refute_13_45,refute_13_46]) ).
cnf(refute_13_48,plain,
op2(h4(e13),h4(e11)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,e21)) )],[refute_13_41,refute_13_47]) ).
cnf(refute_13_49,plain,
( op2(e23,e21) != e23
| op2(h4(e13),h4(e11)) != op2(e23,e21)
| op2(h4(e13),h4(e11)) = e23 ),
inference(subst,[],[refute_13_19:[bind(X,$fot(op2(h4(e13),h4(e11)))),bind(Y,$fot(op2(e23,e21))),bind(Z,$fot(e23))]]) ).
cnf(refute_13_50,plain,
( op2(e23,e21) != e23
| op2(h4(e13),h4(e11)) = e23 ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e23,e21)) )],[refute_13_48,refute_13_49]) ).
cnf(refute_13_51,plain,
op2(h4(e13),h4(e11)) = e23,
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_13_33,refute_13_50]) ).
cnf(refute_13_52,plain,
( e23 != e23
| op2(h4(e13),h4(e11)) != e23
| e23 = op2(h4(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(h4(e13),h4(e11))) ),[1],$fot(e23)]]) ).
cnf(refute_13_53,plain,
( e23 != e23
| e23 = op2(h4(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),e23) )],[refute_13_51,refute_13_52]) ).
cnf(refute_13_54,plain,
( e23 != e23
| h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(e23,op2(h4(e13),h4(e11))) )],[refute_13_53,refute_13_24]) ).
cnf(refute_13_55,plain,
e23 != e23,
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(h4(e13),h4(e11))) )],[refute_13_54,refute_13_0]) ).
cnf(refute_13_56,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_13_57,plain,
$false,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_13_56,refute_13_55]) ).
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,
( 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_1,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_14_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_14_1]) ).
fof(normalize_14_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_14_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_14_3]) ).
fof(normalize_14_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_14_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_14_5]) ).
fof(normalize_14_7,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_0,normalize_14_2,normalize_14_4,normalize_14_6]) ).
fof(normalize_14_8,plain,
h4(op1(e13,e12)) != op2(h4(e13),h4(e12)),
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_9,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_14_10,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_11,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_14_12,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_14_11]) ).
fof(normalize_14_13,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_14_14,plain,
( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_14_13]) ).
fof(normalize_14_15,plain,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_14_16,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(conjunct,[],[normalize_14_15]) ).
fof(normalize_14_17,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(conjunct,[],[normalize_14_15]) ).
fof(normalize_14_18,plain,
( ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_14_19,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_14_18]) ).
fof(normalize_14_20,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_14_15]) ).
fof(normalize_14_21,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_14_22,plain,
e10 != e11,
inference(conjunct,[],[normalize_14_21]) ).
fof(normalize_14_23,plain,
e10 != e12,
inference(conjunct,[],[normalize_14_21]) ).
fof(normalize_14_24,plain,
e10 != e13,
inference(conjunct,[],[normalize_14_21]) ).
fof(normalize_14_25,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_26,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_14_25]) ).
fof(normalize_14_27,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_14_11]) ).
fof(normalize_14_28,plain,
( ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_14_29,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(conjunct,[],[normalize_14_28]) ).
fof(normalize_14_30,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_14_11]) ).
fof(normalize_14_31,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_14_32,plain,
e20 != e21,
inference(conjunct,[],[normalize_14_31]) ).
fof(normalize_14_33,plain,
e20 != e22,
inference(conjunct,[],[normalize_14_31]) ).
fof(normalize_14_34,plain,
e20 != e23,
inference(conjunct,[],[normalize_14_31]) ).
fof(normalize_14_35,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_36,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_14_9]) ).
cnf(refute_14_0,plain,
h4(op1(e13,e12)) != op2(h4(e13),h4(e12)),
inference(canonicalize,[],[normalize_14_8]) ).
cnf(refute_14_1,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_14_10]) ).
cnf(refute_14_2,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_14_12]) ).
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( $equal(X,X) )],[refute_14_3,refute_14_4]) ).
cnf(refute_14_6,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = e20 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_14_7,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_14_2,refute_14_6]) ).
cnf(refute_14_8,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_14_9,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_14_7,refute_14_8]) ).
cnf(refute_14_10,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_14_1,refute_14_9]) ).
cnf(refute_14_11,plain,
( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_14_14]) ).
cnf(refute_14_12,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(canonicalize,[],[normalize_14_16]) ).
cnf(refute_14_13,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(canonicalize,[],[normalize_14_17]) ).
cnf(refute_14_14,plain,
( e10 != op1(op1(e13,e13),op1(e13,e13))
| op1(op1(e13,e13),op1(e13,e13)) = e10 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_14_15,plain,
op1(op1(e13,e13),op1(e13,e13)) = e10,
inference(resolve,[$cnf( $equal(e10,op1(op1(e13,e13),op1(e13,e13))) )],[refute_14_13,refute_14_14]) ).
cnf(refute_14_16,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
introduced(tautology,[refl,[$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_14_17,plain,
( op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) ),[1,1],$fot(e10)]]) ).
cnf(refute_14_18,plain,
( op1(op1(e13,e13),op1(e13,e13)) != e10
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_14_16,refute_14_17]) ).
cnf(refute_14_19,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),op1(e13,e13)),e10) )],[refute_14_15,refute_14_18]) ).
cnf(refute_14_20,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| op1(e13,op1(op1(e13,e13),op1(e13,e13))) != op1(e13,e10)
| e12 = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e13,e10)) ),[0],$fot(op1(e13,op1(op1(e13,e13),op1(e13,e13))))]]) ).
cnf(refute_14_21,plain,
( e12 != op1(e13,op1(op1(e13,e13),op1(e13,e13)))
| e12 = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(op1(e13,e13),op1(e13,e13))),op1(e13,e10)) )],[refute_14_19,refute_14_20]) ).
cnf(refute_14_22,plain,
e12 = op1(e13,e10),
inference(resolve,[$cnf( $equal(e12,op1(e13,op1(op1(e13,e13),op1(e13,e13)))) )],[refute_14_12,refute_14_21]) ).
cnf(refute_14_23,plain,
( e12 != op1(e13,e10)
| op1(e13,e10) = e12 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e10)))]]) ).
cnf(refute_14_24,plain,
op1(e13,e10) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e10)) )],[refute_14_22,refute_14_23]) ).
cnf(refute_14_25,plain,
( op1(e13,e10) != e10
| op1(e13,e10) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e10),e10) ),[0],$fot(e12)]]) ).
cnf(refute_14_26,plain,
( op1(e13,e10) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_14_24,refute_14_25]) ).
cnf(refute_14_27,plain,
( e12 = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_14_11,refute_14_26]) ).
cnf(refute_14_28,plain,
( op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_14_19]) ).
cnf(refute_14_29,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_14_20]) ).
cnf(refute_14_30,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_14_31,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_14_29,refute_14_30]) ).
cnf(refute_14_32,plain,
( e11 != e11
| op1(e13,e13) != e11
| op1(e13,e13) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[1],$fot(e11)]]) ).
cnf(refute_14_33,plain,
( e11 != e11
| op1(e13,e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_14_31,refute_14_32]) ).
cnf(refute_14_34,plain,
( e11 != e11
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_14_33,refute_14_28]) ).
cnf(refute_14_35,plain,
e11 = e11,
introduced(tautology,[refl,[$fot(e11)]]) ).
cnf(refute_14_36,plain,
op1(e13,e11) = e13,
inference(resolve,[$cnf( $equal(e11,e11) )],[refute_14_35,refute_14_34]) ).
cnf(refute_14_37,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e10) ),[0],$fot(e13)]]) ).
cnf(refute_14_38,plain,
( op1(e13,e11) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_14_36,refute_14_37]) ).
cnf(refute_14_39,plain,
( e12 = e10
| e13 = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_14_27,refute_14_38]) ).
cnf(refute_14_40,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).
cnf(refute_14_41,plain,
( op1(e13,e13) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_14_31,refute_14_40]) ).
cnf(refute_14_42,plain,
( e11 = e10
| e12 = e10
| e13 = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_14_39,refute_14_41]) ).
cnf(refute_14_43,plain,
e10 != e11,
inference(canonicalize,[],[normalize_14_22]) ).
cnf(refute_14_44,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_14_45,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_14_44,refute_14_43]) ).
cnf(refute_14_46,plain,
( e12 = e10
| e13 = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_14_42,refute_14_45]) ).
cnf(refute_14_47,plain,
e10 != e12,
inference(canonicalize,[],[normalize_14_23]) ).
cnf(refute_14_48,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_14_49,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_14_48,refute_14_47]) ).
cnf(refute_14_50,plain,
( e13 = e10
| op1(e13,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_14_46,refute_14_49]) ).
cnf(refute_14_51,plain,
e10 != e13,
inference(canonicalize,[],[normalize_14_24]) ).
cnf(refute_14_52,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_14_53,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_14_52,refute_14_51]) ).
cnf(refute_14_54,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_14_50,refute_14_53]) ).
cnf(refute_14_55,plain,
h4(op1(e13,e12)) = h4(op1(e13,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e12)))]]) ).
cnf(refute_14_56,plain,
( h4(op1(e13,e12)) != h4(op1(e13,e12))
| op1(e13,e12) != e10
| h4(op1(e13,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e12)),h4(op1(e13,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_14_57,plain,
( op1(e13,e12) != e10
| h4(op1(e13,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),h4(op1(e13,e12))) )],[refute_14_55,refute_14_56]) ).
cnf(refute_14_58,plain,
h4(op1(e13,e12)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_14_54,refute_14_57]) ).
cnf(refute_14_59,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_14_60,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_14_5,refute_14_59]) ).
cnf(refute_14_61,plain,
( h4(e10) != e20
| h4(op1(e13,e12)) != h4(e10)
| h4(op1(e13,e12)) = e20 ),
inference(subst,[],[refute_14_60:[bind(X,$fot(h4(op1(e13,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_14_62,plain,
( h4(e10) != e20
| h4(op1(e13,e12)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),h4(e10)) )],[refute_14_58,refute_14_61]) ).
cnf(refute_14_63,plain,
h4(op1(e13,e12)) = e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_14_10,refute_14_62]) ).
cnf(refute_14_64,plain,
( e20 != op2(h4(e13),h4(e12))
| h4(op1(e13,e12)) != e20
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e12)),e20) ),[1],$fot(op2(h4(e13),h4(e12)))]]) ).
cnf(refute_14_65,plain,
( e20 != op2(h4(e13),h4(e12))
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),e20) )],[refute_14_63,refute_14_64]) ).
cnf(refute_14_66,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_14_26]) ).
cnf(refute_14_67,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_14_27]) ).
cnf(refute_14_68,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
introduced(tautology,[refl,[$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_14_69,plain,
( op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) ),[1,1],$fot(e20)]]) ).
cnf(refute_14_70,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_14_68,refute_14_69]) ).
cnf(refute_14_71,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_14_7,refute_14_70]) ).
cnf(refute_14_72,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e20)) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_14_73,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_14_71,refute_14_72]) ).
cnf(refute_14_74,plain,
e22 = op2(e23,e20),
inference(resolve,[$cnf( $equal(e22,op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_14_67,refute_14_73]) ).
cnf(refute_14_75,plain,
( e22 != op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_14_76,plain,
op2(e23,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_14_74,refute_14_75]) ).
cnf(refute_14_77,plain,
( op2(e23,e20) != e20
| op2(e23,e20) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e20) ),[0],$fot(e22)]]) ).
cnf(refute_14_78,plain,
( op2(e23,e20) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_14_76,refute_14_77]) ).
cnf(refute_14_79,plain,
( e22 = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_14_66,refute_14_78]) ).
cnf(refute_14_80,plain,
( op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(canonicalize,[],[normalize_14_29]) ).
cnf(refute_14_81,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_14_30]) ).
cnf(refute_14_82,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_14_83,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_14_81,refute_14_82]) ).
cnf(refute_14_84,plain,
( e21 != e21
| op2(e23,e23) != e21
| op2(e23,e23) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[1],$fot(e21)]]) ).
cnf(refute_14_85,plain,
( e21 != e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_83,refute_14_84]) ).
cnf(refute_14_86,plain,
( e21 != e21
| op2(e23,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_85,refute_14_80]) ).
cnf(refute_14_87,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_14_88,plain,
op2(e23,e21) = e23,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_14_87,refute_14_86]) ).
cnf(refute_14_89,plain,
( op2(e23,e21) != e20
| op2(e23,e21) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),e20) ),[0],$fot(e23)]]) ).
cnf(refute_14_90,plain,
( op2(e23,e21) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_14_88,refute_14_89]) ).
cnf(refute_14_91,plain,
( e22 = e20
| e23 = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_14_79,refute_14_90]) ).
cnf(refute_14_92,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e21)]]) ).
cnf(refute_14_93,plain,
( op2(e23,e23) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_83,refute_14_92]) ).
cnf(refute_14_94,plain,
( e21 = e20
| e22 = e20
| e23 = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_91,refute_14_93]) ).
cnf(refute_14_95,plain,
e20 != e21,
inference(canonicalize,[],[normalize_14_32]) ).
cnf(refute_14_96,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_14_97,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_14_96,refute_14_95]) ).
cnf(refute_14_98,plain,
( e22 = e20
| e23 = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_14_94,refute_14_97]) ).
cnf(refute_14_99,plain,
e20 != e22,
inference(canonicalize,[],[normalize_14_33]) ).
cnf(refute_14_100,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_14_101,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_14_100,refute_14_99]) ).
cnf(refute_14_102,plain,
( e23 = e20
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_14_98,refute_14_101]) ).
cnf(refute_14_103,plain,
e20 != e23,
inference(canonicalize,[],[normalize_14_34]) ).
cnf(refute_14_104,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_14_105,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_14_104,refute_14_103]) ).
cnf(refute_14_106,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_14_102,refute_14_105]) ).
cnf(refute_14_107,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_14_35]) ).
cnf(refute_14_108,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(subst,[],[refute_14_60:[bind(X,$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(e22))]]) ).
cnf(refute_14_109,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_14_71,refute_14_108]) ).
cnf(refute_14_110,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22,
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_14_76,refute_14_109]) ).
cnf(refute_14_111,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_14_112,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),e22) )],[refute_14_110,refute_14_111]) ).
cnf(refute_14_113,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_14_107,refute_14_112]) ).
cnf(refute_14_114,plain,
op2(e23,h4(e12)) = op2(e23,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e12)))]]) ).
cnf(refute_14_115,plain,
( h4(e12) != e22
| op2(e23,h4(e12)) != op2(e23,h4(e12))
| op2(e23,h4(e12)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_14_116,plain,
( h4(e12) != e22
| op2(e23,h4(e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,h4(e12))) )],[refute_14_114,refute_14_115]) ).
cnf(refute_14_117,plain,
op2(e23,h4(e12)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_14_113,refute_14_116]) ).
cnf(refute_14_118,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_14_36]) ).
cnf(refute_14_119,plain,
op2(h4(e13),h4(e12)) = op2(h4(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e12)))]]) ).
cnf(refute_14_120,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e12)) != op2(h4(e13),h4(e12))
| op2(h4(e13),h4(e12)) = op2(e23,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(h4(e13),h4(e12))) ),[1,0],$fot(e23)]]) ).
cnf(refute_14_121,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e12)) = op2(e23,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(h4(e13),h4(e12))) )],[refute_14_119,refute_14_120]) ).
cnf(refute_14_122,plain,
op2(h4(e13),h4(e12)) = op2(e23,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_14_118,refute_14_121]) ).
cnf(refute_14_123,plain,
( op2(e23,h4(e12)) != op2(e23,e22)
| op2(h4(e13),h4(e12)) != op2(e23,h4(e12))
| op2(h4(e13),h4(e12)) = op2(e23,e22) ),
inference(subst,[],[refute_14_60:[bind(X,$fot(op2(h4(e13),h4(e12)))),bind(Y,$fot(op2(e23,h4(e12)))),bind(Z,$fot(op2(e23,e22)))]]) ).
cnf(refute_14_124,plain,
( op2(e23,h4(e12)) != op2(e23,e22)
| op2(h4(e13),h4(e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(e23,h4(e12))) )],[refute_14_122,refute_14_123]) ).
cnf(refute_14_125,plain,
op2(h4(e13),h4(e12)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,e22)) )],[refute_14_117,refute_14_124]) ).
cnf(refute_14_126,plain,
( op2(e23,e22) != e20
| op2(h4(e13),h4(e12)) != op2(e23,e22)
| op2(h4(e13),h4(e12)) = e20 ),
inference(subst,[],[refute_14_60:[bind(X,$fot(op2(h4(e13),h4(e12)))),bind(Y,$fot(op2(e23,e22))),bind(Z,$fot(e20))]]) ).
cnf(refute_14_127,plain,
( op2(e23,e22) != e20
| op2(h4(e13),h4(e12)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(e23,e22)) )],[refute_14_125,refute_14_126]) ).
cnf(refute_14_128,plain,
op2(h4(e13),h4(e12)) = e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_14_106,refute_14_127]) ).
cnf(refute_14_129,plain,
( e20 != e20
| op2(h4(e13),h4(e12)) != e20
| e20 = op2(h4(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(h4(e13),h4(e12))) ),[1],$fot(e20)]]) ).
cnf(refute_14_130,plain,
( e20 != e20
| e20 = op2(h4(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),e20) )],[refute_14_128,refute_14_129]) ).
cnf(refute_14_131,plain,
( e20 != e20
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(e20,op2(h4(e13),h4(e12))) )],[refute_14_130,refute_14_65]) ).
cnf(refute_14_132,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),op2(h4(e13),h4(e12))) )],[refute_14_131,refute_14_0]) ).
cnf(refute_14_133,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_14_134,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_14_133,refute_14_132]) ).
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(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_15_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_15_1]) ).
fof(normalize_15_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_15_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_15_3]) ).
fof(normalize_15_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_15_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_15_5]) ).
fof(normalize_15_7,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_15_0,normalize_15_2,normalize_15_4,normalize_15_6]) ).
fof(normalize_15_8,plain,
h4(op1(e13,e13)) != op2(h4(e13),h4(e13)),
inference(conjunct,[],[normalize_15_7]) ).
fof(normalize_15_9,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_15_10,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_15_9]) ).
fof(normalize_15_11,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_15_12,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_13,plain,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_15_14,plain,
e11 = op1(e13,e13),
inference(conjunct,[],[normalize_15_13]) ).
fof(normalize_15_15,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_15_9]) ).
cnf(refute_15_0,plain,
h4(op1(e13,e13)) != op2(h4(e13),h4(e13)),
inference(canonicalize,[],[normalize_15_8]) ).
cnf(refute_15_1,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_15_10]) ).
cnf(refute_15_2,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_15_12]) ).
cnf(refute_15_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_15_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_15_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_15_3,refute_15_4]) ).
cnf(refute_15_6,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_15_7,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_15_2,refute_15_6]) ).
cnf(refute_15_8,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_15_9,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_15_7,refute_15_8]) ).
cnf(refute_15_10,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_15_1,refute_15_9]) ).
cnf(refute_15_11,plain,
e11 = op1(e13,e13),
inference(canonicalize,[],[normalize_15_14]) ).
cnf(refute_15_12,plain,
( e11 != op1(e13,e13)
| op1(e13,e13) = e11 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_15_13,plain,
op1(e13,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_15_11,refute_15_12]) ).
cnf(refute_15_14,plain,
h4(op1(e13,e13)) = h4(op1(e13,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e13)))]]) ).
cnf(refute_15_15,plain,
( h4(op1(e13,e13)) != h4(op1(e13,e13))
| op1(e13,e13) != e11
| h4(op1(e13,e13)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_15_16,plain,
( op1(e13,e13) != e11
| h4(op1(e13,e13)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) )],[refute_15_14,refute_15_15]) ).
cnf(refute_15_17,plain,
h4(op1(e13,e13)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_15_13,refute_15_16]) ).
cnf(refute_15_18,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_15_19,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_15_5,refute_15_18]) ).
cnf(refute_15_20,plain,
( h4(e11) != e21
| h4(op1(e13,e13)) != h4(e11)
| h4(op1(e13,e13)) = e21 ),
inference(subst,[],[refute_15_19:[bind(X,$fot(h4(op1(e13,e13)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_15_21,plain,
( h4(e11) != e21
| h4(op1(e13,e13)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(e11)) )],[refute_15_17,refute_15_20]) ).
cnf(refute_15_22,plain,
h4(op1(e13,e13)) = e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_15_10,refute_15_21]) ).
cnf(refute_15_23,plain,
( e21 != op2(h4(e13),h4(e13))
| h4(op1(e13,e13)) != e21
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),e21) ),[1],$fot(op2(h4(e13),h4(e13)))]]) ).
cnf(refute_15_24,plain,
( e21 != op2(h4(e13),h4(e13))
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),e21) )],[refute_15_22,refute_15_23]) ).
cnf(refute_15_25,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_15_15]) ).
cnf(refute_15_26,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_15_27,plain,
( h4(e13) != e23
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_15_28,plain,
( h4(e13) != e23
| op2(e23,h4(e13)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_15_26,refute_15_27]) ).
cnf(refute_15_29,plain,
op2(e23,h4(e13)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_15_25,refute_15_28]) ).
cnf(refute_15_30,plain,
op2(h4(e13),h4(e13)) = op2(h4(e13),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e13)))]]) ).
cnf(refute_15_31,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e13)) != op2(h4(e13),h4(e13))
| op2(h4(e13),h4(e13)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(h4(e13),h4(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_15_32,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e13)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(h4(e13),h4(e13))) )],[refute_15_30,refute_15_31]) ).
cnf(refute_15_33,plain,
op2(h4(e13),h4(e13)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_15_25,refute_15_32]) ).
cnf(refute_15_34,plain,
( op2(e23,h4(e13)) != op2(e23,e23)
| op2(h4(e13),h4(e13)) != op2(e23,h4(e13))
| op2(h4(e13),h4(e13)) = op2(e23,e23) ),
inference(subst,[],[refute_15_19:[bind(X,$fot(op2(h4(e13),h4(e13)))),bind(Y,$fot(op2(e23,h4(e13)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_15_35,plain,
( op2(e23,h4(e13)) != op2(e23,e23)
| op2(h4(e13),h4(e13)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(e23,h4(e13))) )],[refute_15_33,refute_15_34]) ).
cnf(refute_15_36,plain,
op2(h4(e13),h4(e13)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e23)) )],[refute_15_29,refute_15_35]) ).
cnf(refute_15_37,plain,
( op2(e23,e23) != e21
| op2(h4(e13),h4(e13)) != op2(e23,e23)
| op2(h4(e13),h4(e13)) = e21 ),
inference(subst,[],[refute_15_19:[bind(X,$fot(op2(h4(e13),h4(e13)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_15_38,plain,
( op2(e23,e23) != e21
| op2(h4(e13),h4(e13)) = e21 ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(e23,e23)) )],[refute_15_36,refute_15_37]) ).
cnf(refute_15_39,plain,
op2(h4(e13),h4(e13)) = e21,
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_15_7,refute_15_38]) ).
cnf(refute_15_40,plain,
( e21 != e21
| op2(h4(e13),h4(e13)) != e21
| e21 = op2(h4(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h4(e13),h4(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_15_41,plain,
( e21 != e21
| e21 = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),e21) )],[refute_15_39,refute_15_40]) ).
cnf(refute_15_42,plain,
( e21 != e21
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(e21,op2(h4(e13),h4(e13))) )],[refute_15_41,refute_15_24]) ).
cnf(refute_15_43,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),op2(h4(e13),h4(e13))) )],[refute_15_42,refute_15_0]) ).
cnf(refute_15_44,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_15_45,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_15_44,refute_15_43]) ).
fof(negate_16_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20 )
=> h4(e13) = e20 ),
inference(negate,[],[subgoal_16]) ).
fof(normalize_16_0,plain,
( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_16_0]) ).
fof(normalize_16_1,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_16_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_16_1]) ).
fof(normalize_16_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_16_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_16_3]) ).
fof(normalize_16_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_16_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_16_5]) ).
fof(normalize_16_7,plain,
( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_16_0,normalize_16_2,normalize_16_4,normalize_16_6]) ).
fof(normalize_16_8,plain,
h4(e10) != e20,
inference(conjunct,[],[normalize_16_7]) ).
fof(normalize_16_9,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_16_10,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_16_9]) ).
fof(normalize_16_11,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_16_12,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_16_11]) ).
cnf(refute_16_0,plain,
h4(e10) != e20,
inference(canonicalize,[],[normalize_16_8]) ).
cnf(refute_16_1,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_16_10]) ).
cnf(refute_16_2,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_16_12]) ).
cnf(refute_16_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_16_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_16_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_16_3,refute_16_4]) ).
cnf(refute_16_6,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = e20 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_16_7,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_16_2,refute_16_6]) ).
cnf(refute_16_8,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).
cnf(refute_16_9,plain,
( h4(e10) != op2(op2(e23,e23),op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_16_7,refute_16_8]) ).
cnf(refute_16_10,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),op2(e23,e23))) )],[refute_16_1,refute_16_9]) ).
cnf(refute_16_11,plain,
( e20 != e20
| h4(e10) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_16_12,plain,
( e20 != e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_16_10,refute_16_11]) ).
cnf(refute_16_13,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_16_12,refute_16_0]) ).
cnf(refute_16_14,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_16_15,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_16_14,refute_16_13]) ).
fof(negate_17_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21 )
=> h4(e13) = e21 ),
inference(negate,[],[subgoal_17]) ).
fof(normalize_17_0,plain,
( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_17_0]) ).
fof(normalize_17_1,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_17_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_17_1]) ).
fof(normalize_17_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_17_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_17_3]) ).
fof(normalize_17_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_17_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_17_5]) ).
fof(normalize_17_7,plain,
( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_17_0,normalize_17_2,normalize_17_4,normalize_17_6]) ).
fof(normalize_17_8,plain,
h4(e11) != e21,
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_9,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_17_10,plain,
h4(e11) = op2(e23,e23),
inference(conjunct,[],[normalize_17_9]) ).
fof(normalize_17_11,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_17_12,plain,
e21 = op2(e23,e23),
inference(conjunct,[],[normalize_17_11]) ).
cnf(refute_17_0,plain,
h4(e11) != e21,
inference(canonicalize,[],[normalize_17_8]) ).
cnf(refute_17_1,plain,
h4(e11) = op2(e23,e23),
inference(canonicalize,[],[normalize_17_10]) ).
cnf(refute_17_2,plain,
e21 = op2(e23,e23),
inference(canonicalize,[],[normalize_17_12]) ).
cnf(refute_17_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_17_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_17_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_17_3,refute_17_4]) ).
cnf(refute_17_6,plain,
( e21 != op2(e23,e23)
| op2(e23,e23) = e21 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_17_7,plain,
op2(e23,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_17_2,refute_17_6]) ).
cnf(refute_17_8,plain,
( h4(e11) != op2(e23,e23)
| op2(e23,e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_17_9,plain,
( h4(e11) != op2(e23,e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_17_7,refute_17_8]) ).
cnf(refute_17_10,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,e23)) )],[refute_17_1,refute_17_9]) ).
cnf(refute_17_11,plain,
( e21 != e21
| h4(e11) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_17_12,plain,
( e21 != e21
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_17_10,refute_17_11]) ).
cnf(refute_17_13,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_17_12,refute_17_0]) ).
cnf(refute_17_14,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_17_15,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_17_14,refute_17_13]) ).
fof(negate_18_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22 )
=> h4(e13) = e22 ),
inference(negate,[],[subgoal_18]) ).
fof(normalize_18_0,plain,
( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_18_0]) ).
fof(normalize_18_1,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_18_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_18_1]) ).
fof(normalize_18_3,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_18_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_18_3]) ).
fof(normalize_18_5,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_18_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_18_5]) ).
fof(normalize_18_7,plain,
( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_18_0,normalize_18_2,normalize_18_4,normalize_18_6]) ).
fof(normalize_18_8,plain,
h4(e12) != e22,
inference(conjunct,[],[normalize_18_7]) ).
fof(normalize_18_9,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_18_10,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_18_9]) ).
fof(normalize_18_11,plain,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_18_12,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(conjunct,[],[normalize_18_11]) ).
fof(normalize_18_13,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(conjunct,[],[normalize_18_11]) ).
cnf(refute_18_0,plain,
h4(e12) != e22,
inference(canonicalize,[],[normalize_18_8]) ).
cnf(refute_18_1,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_18_10]) ).
cnf(refute_18_2,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(canonicalize,[],[normalize_18_12]) ).
cnf(refute_18_3,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(canonicalize,[],[normalize_18_13]) ).
cnf(refute_18_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_18_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_18_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_18_4,refute_18_5]) ).
cnf(refute_18_7,plain,
( e20 != op2(op2(e23,e23),op2(e23,e23))
| op2(op2(e23,e23),op2(e23,e23)) = e20 ),
inference(subst,[],[refute_18_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_18_8,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e23,e23),op2(e23,e23))) )],[refute_18_3,refute_18_7]) ).
cnf(refute_18_9,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
introduced(tautology,[refl,[$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_18_10,plain,
( op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) ),[1,1],$fot(e20)]]) ).
cnf(refute_18_11,plain,
( op2(op2(e23,e23),op2(e23,e23)) != e20
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_18_9,refute_18_10]) ).
cnf(refute_18_12,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),e20) )],[refute_18_8,refute_18_11]) ).
cnf(refute_18_13,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| e22 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e20)) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_18_14,plain,
( e22 != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| e22 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_18_12,refute_18_13]) ).
cnf(refute_18_15,plain,
e22 = op2(e23,e20),
inference(resolve,[$cnf( $equal(e22,op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_18_2,refute_18_14]) ).
cnf(refute_18_16,plain,
( e22 != op2(e23,e20)
| op2(e23,e20) = e22 ),
inference(subst,[],[refute_18_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_18_17,plain,
op2(e23,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e20)) )],[refute_18_15,refute_18_16]) ).
cnf(refute_18_18,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_18_19,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_18_6,refute_18_18]) ).
cnf(refute_18_20,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != op2(e23,e20)
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(subst,[],[refute_18_19:[bind(X,$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(e22))]]) ).
cnf(refute_18_21,plain,
( op2(e23,e20) != e22
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),op2(e23,e20)) )],[refute_18_12,refute_18_20]) ).
cnf(refute_18_22,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22,
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_18_17,refute_18_21]) ).
cnf(refute_18_23,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| op2(e23,op2(op2(e23,e23),op2(e23,e23))) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,op2(op2(e23,e23),op2(e23,e23))))]]) ).
cnf(refute_18_24,plain,
( h4(e12) != op2(e23,op2(op2(e23,e23),op2(e23,e23)))
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(op2(e23,e23),op2(e23,e23))),e22) )],[refute_18_22,refute_18_23]) ).
cnf(refute_18_25,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,op2(op2(e23,e23),op2(e23,e23)))) )],[refute_18_1,refute_18_24]) ).
cnf(refute_18_26,plain,
( e22 != e22
| h4(e12) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[1],$fot(e22)]]) ).
cnf(refute_18_27,plain,
( e22 != e22
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_18_25,refute_18_26]) ).
cnf(refute_18_28,plain,
e22 != e22,
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_18_27,refute_18_0]) ).
cnf(refute_18_29,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_18_30,plain,
$false,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_18_29,refute_18_28]) ).
fof(negate_19_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23 )
=> h4(e13) = e23 ),
inference(negate,[],[subgoal_19]) ).
fof(normalize_19_0,plain,
( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_19_0]) ).
fof(normalize_19_1,plain,
( h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_19_2,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_19_1]) ).
fof(normalize_19_3,plain,
( h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_19_4,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_19_3]) ).
fof(normalize_19_5,plain,
( h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_19_6,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_19_5]) ).
fof(normalize_19_7,plain,
( h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_19_8,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_19_7]) ).
fof(normalize_19_9,plain,
$false,
inference(simplify,[],[normalize_19_0,normalize_19_2,normalize_19_4,normalize_19_6,normalize_19_8]) ).
cnf(refute_19_0,plain,
$false,
inference(canonicalize,[],[normalize_19_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG125+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 05:57:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 16.00/16.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.00/16.19
% 16.00/16.19 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.90/17.07
%------------------------------------------------------------------------------