%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG117+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:35:58 EDT 2022
% Result : Theorem 3.14s 3.31s
% Output : CNFRefutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 928
% Syntax : Number of formulae : 4728 (1953 unt; 0 def)
% Number of atoms : 23556 (23535 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 28425 (9597 ~;10818 |;7970 &)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 191 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ) ).
fof(ax2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ) ).
fof(ax3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ) ).
fof(ax4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ) ).
fof(ax5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ) ).
fof(ax6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ) ).
fof(ax7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ) ).
fof(ax8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ) ).
fof(ax10,axiom,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e11) = e10
& op1(e11,e10) != e11 )
| ( op1(e12,e12) = e10
& op1(e12,e10) != e12 )
| ( op1(e13,e13) = e10
& op1(e13,e10) != e13 ) )
& ( ( op1(e10,e10) = e11
& op1(e10,e11) != e10 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 )
| ( op1(e12,e12) = e11
& op1(e12,e11) != e12 )
| ( op1(e13,e13) = e11
& op1(e13,e11) != e13 ) )
& ( ( op1(e10,e10) = e12
& op1(e10,e12) != e10 )
| ( op1(e11,e11) = e12
& op1(e11,e12) != e11 )
| ( op1(e12,e12) = e12
& op1(e12,e12) != e12 )
| ( op1(e13,e13) = e12
& op1(e13,e12) != e13 ) )
& ( ( op1(e10,e10) = e13
& op1(e10,e13) != e10 )
| ( op1(e11,e11) = e13
& op1(e11,e13) != e11 )
| ( op1(e12,e12) = e13
& op1(e12,e13) != e12 )
| ( op1(e13,e13) = e13
& op1(e13,e13) != e13 ) ) ) ).
fof(ax11,axiom,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e21) = e20
& op2(e21,e20) != e21 )
| ( op2(e22,e22) = e20
& op2(e22,e20) != e22 )
| ( op2(e23,e23) = e20
& op2(e23,e20) != e23 ) )
& ( ( op2(e20,e20) = e21
& op2(e20,e21) != e20 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 )
| ( op2(e22,e22) = e21
& op2(e22,e21) != e22 )
| ( op2(e23,e23) = e21
& op2(e23,e21) != e23 ) )
& ( ( op2(e20,e20) = e22
& op2(e20,e22) != e20 )
| ( op2(e21,e21) = e22
& op2(e21,e22) != e21 )
| ( op2(e22,e22) = e22
& op2(e22,e22) != e22 )
| ( op2(e23,e23) = e22
& op2(e23,e22) != e23 ) )
& ( ( op2(e20,e20) = e23
& op2(e20,e23) != e20 )
| ( op2(e21,e21) = e23
& op2(e21,e23) != e21 )
| ( op2(e22,e22) = e23
& op2(e22,e23) != e22 )
| ( op2(e23,e23) = e23
& op2(e23,e23) != e23 ) ) ) ).
fof(ax12,axiom,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ) ).
fof(ax13,axiom,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ) ).
fof(ax14,axiom,
( h1(e13) = e20
& h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = op2(e20,e20) ) ).
fof(ax15,axiom,
( h2(e13) = e21
& h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = op2(e21,e21) ) ).
fof(ax16,axiom,
( h3(e13) = e22
& h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22) ) ).
fof(ax17,axiom,
( h4(e13) = e23
& h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = 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(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,
( 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_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = op2(e20,e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_0_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = op2(e21,e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_0_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_0_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,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_0,normalize_0_2,normalize_0_4,normalize_0_6]) ).
fof(normalize_0_8,plain,
h4(op1(e10,e10)) != op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
h1(e12) = op2(e20,e20),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_10,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_0_11,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_0_13,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22 ) )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_0_15,plain,
( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
( ( op2(e20,e21) != e20
| op2(e22,e21) != e22
| op2(e23,e21) != e23 )
& ( op2(e20,e21) != e20
| op2(e22,e21) != e22
| op2(e23,e23) = e21 )
& ( op2(e20,e21) != e20
| op2(e23,e21) != e23
| op2(e22,e22) = e21 )
& ( op2(e20,e21) != e20
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e21) != e22
| op2(e23,e21) != e23
| op2(e20,e20) = e21 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e22,e22) = e21 )
& ( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ) ),
inference(clausify,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
h3(e12) = op2(e22,e22),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_19,plain,
e22 = op2(e23,e23),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_20,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_0_21,plain,
e21 != e22,
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_0_23,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
e21 = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_25,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_26,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12 ) )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_0_27,plain,
( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) ),
inference(conjunct,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
( ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e11) != e13 )
& ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e13) = e11 )
& ( op1(e10,e11) != e10
| op1(e13,e11) != e13
| op1(e12,e12) = e11 )
& ( op1(e10,e11) != e10
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e11) != e12
| op1(e13,e11) != e13
| op1(e10,e10) = e11 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e12,e12) = e11 )
& ( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ) ),
inference(clausify,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(conjunct,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_0_31,plain,
e12 = op1(e13,e13),
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_0_33,plain,
e11 != e12,
inference(conjunct,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_0_35,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
e11 = op1(op1(e13,e13),e13),
inference(conjunct,[],[normalize_0_30]) ).
cnf(refute_0_0,plain,
h4(op1(e10,e10)) != op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_1,plain,
h1(e12) = op2(e20,e20),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( h1(e12) != op2(e20,e20)
| op2(e20,e20) = h1(e12) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(h1(e12))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_0_6,plain,
op2(e20,e20) = h1(e12),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,e20)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_8,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_9,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_0_10,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_0_12,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_0_7,refute_0_12]) ).
cnf(refute_0_14,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_0_15,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_16,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_13,refute_0_16]) ).
cnf(refute_0_18,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_0_19,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_20,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_13,refute_0_20]) ).
cnf(refute_0_22,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_23,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_22]) ).
cnf(refute_0_24,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_0_25,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_0_17,refute_0_25]) ).
cnf(refute_0_27,plain,
( op2(e20,e20) != h1(e12)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e12) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e12)))]]) ).
cnf(refute_0_28,plain,
( op2(e20,e20) != h1(e12)
| op2(h4(e10),h4(e10)) = h1(e12) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
op2(h4(e10),h4(e10)) = h1(e12),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_0_6,refute_0_28]) ).
cnf(refute_0_30,plain,
( h4(op1(e10,e10)) != h1(e12)
| op2(h4(e10),h4(e10)) != h1(e12)
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1],$fot(h1(e12))]]) ).
cnf(refute_0_31,plain,
( h4(op1(e10,e10)) != h1(e12)
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e12)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
h4(op1(e10,e10)) != h1(e12),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_0_31,refute_0_0]) ).
cnf(refute_0_33,plain,
( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_34,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e12)
| h1(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e12))]]) ).
cnf(refute_0_35,plain,
( op2(e20,e20) != e21
| h1(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_0_6,refute_0_34]) ).
cnf(refute_0_36,plain,
( h1(e12) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_0_33,refute_0_35]) ).
cnf(refute_0_37,plain,
h3(e12) = op2(e22,e22),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_38,plain,
( h3(e12) != op2(e22,e22)
| op2(e22,e22) = h3(e12) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_0_39,plain,
op2(e22,e22) = h3(e12),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e22)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e12)
| h3(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e12))]]) ).
cnf(refute_0_41,plain,
( op2(e22,e22) != e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
( h1(e12) = e21
| h3(e12) = e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_0_36,refute_0_41]) ).
cnf(refute_0_43,plain,
e22 = op2(e23,e23),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_44,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_0_45,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[0],$fot(e22)]]) ).
cnf(refute_0_47,plain,
( op2(e23,e23) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( e22 = e21
| h1(e12) = e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_42,refute_0_47]) ).
cnf(refute_0_49,plain,
e21 != e22,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_50,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_0_51,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_0_50,refute_0_49]) ).
cnf(refute_0_52,plain,
( h1(e12) = e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_54,plain,
( h3(e12) != op2(e22,e23)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_0_55,plain,
( h3(e12) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_0_39,refute_0_54]) ).
cnf(refute_0_56,plain,
h3(e12) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_0_55,refute_0_53]) ).
cnf(refute_0_57,plain,
e21 = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_58,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_0_59,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_0_60,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
op2(op2(e23,e23),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_0_45,refute_0_60]) ).
cnf(refute_0_62,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_0_63,plain,
( e21 != op2(op2(e23,e23),e23)
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e22,e23)) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_0_57,refute_0_63]) ).
cnf(refute_0_65,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_0_66,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( h3(e12) != e21
| op2(e22,e23) != e21
| h3(e12) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_0_68,plain,
( h3(e12) != e21
| h3(e12) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
h3(e12) != e21,
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e23)) )],[refute_0_68,refute_0_56]) ).
cnf(refute_0_70,plain,
h1(e12) = e21,
inference(resolve,[$cnf( $equal(h3(e12),e21) )],[refute_0_52,refute_0_69]) ).
cnf(refute_0_71,plain,
( h1(e12) != e21
| h4(op1(e10,e10)) != e21
| h4(op1(e10,e10)) = h1(e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e12)) ),[1],$fot(e21)]]) ).
cnf(refute_0_72,plain,
( h4(op1(e10,e10)) != e21
| h4(op1(e10,e10)) = h1(e12) ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
h4(op1(e10,e10)) != e21,
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e12)) )],[refute_0_72,refute_0_32]) ).
cnf(refute_0_74,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_75,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = e21 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(op2(e23,e23),e23)))]]) ).
cnf(refute_0_76,plain,
op2(op2(e23,e23),e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_0_57,refute_0_75]) ).
cnf(refute_0_77,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_0_78,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),e21) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),e23)) )],[refute_0_74,refute_0_78]) ).
cnf(refute_0_80,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_81,plain,
e12 = op1(e13,e13),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_82,plain,
( e12 != op1(e13,e13)
| op1(e13,e13) = e12 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_0_83,plain,
op1(e13,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[0],$fot(e12)]]) ).
cnf(refute_0_85,plain,
( op1(e13,e13) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_80,refute_0_85]) ).
cnf(refute_0_87,plain,
e11 != e12,
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_88,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_0_89,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_0_88,refute_0_87]) ).
cnf(refute_0_90,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_0_86,refute_0_89]) ).
cnf(refute_0_91,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_92,plain,
e11 = op1(op1(e13,e13),e13),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_93,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_0_94,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(e12)]]) ).
cnf(refute_0_95,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
op1(op1(e13,e13),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_0_83,refute_0_95]) ).
cnf(refute_0_97,plain,
( e11 != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_0_98,plain,
( e11 != op1(op1(e13,e13),e13)
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e12,e13)) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),e13)) )],[refute_0_92,refute_0_98]) ).
cnf(refute_0_100,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_0_101,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_0_103,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_0_103,refute_0_91]) ).
cnf(refute_0_105,plain,
op1(e10,e10) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_0_90,refute_0_104]) ).
cnf(refute_0_106,plain,
h4(op1(e10,e10)) = h4(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).
cnf(refute_0_107,plain,
( h4(op1(e10,e10)) != h4(op1(e10,e10))
| op1(e10,e10) != e11
| h4(op1(e10,e10)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) ),[1,0],$fot(e11)]]) ).
cnf(refute_0_108,plain,
( op1(e10,e10) != e11
| h4(op1(e10,e10)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
h4(op1(e10,e10)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
( h4(e11) != e21
| h4(op1(e10,e10)) != h4(e11)
| h4(op1(e10,e10)) = e21 ),
inference(subst,[],[refute_0_23:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_0_111,plain,
( h4(e11) != e21
| h4(op1(e10,e10)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e11)) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
h4(op1(e10,e10)) = e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_0_79,refute_0_111]) ).
cnf(refute_0_113,plain,
( e21 != e21
| h4(op1(e10,e10)) != e21
| h4(op1(e10,e10)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),e21) ),[1],$fot(e21)]]) ).
cnf(refute_0_114,plain,
( e21 != e21
| h4(op1(e10,e10)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e21) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e21) )],[refute_0_114,refute_0_73]) ).
cnf(refute_0_116,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_0_117,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_116,refute_0_115]) ).
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,
( ( 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_1,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = op2(e20,e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_1_3,plain,
h1(e12) = op2(e20,e20),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,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_5,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_6,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = op2(e21,e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_1_7,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_1_9,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_1_8]) ).
fof(normalize_1_10,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_4,normalize_1_5,normalize_1_7,normalize_1_9]) ).
fof(normalize_1_11,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_12,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_1_13,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_1_15,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_17,plain,
e21 = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_1_14]) ).
fof(normalize_1_18,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12 ) )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_1_19,plain,
( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) ),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_20,plain,
( ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e11) != e13 )
& ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e13) = e11 )
& ( op1(e10,e11) != e10
| op1(e13,e11) != e13
| op1(e12,e12) = e11 )
& ( op1(e10,e11) != e10
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e11) != e12
| op1(e13,e11) != e13
| op1(e10,e10) = e11 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e12,e12) = e11 )
& ( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ) ),
inference(clausify,[],[normalize_1_19]) ).
fof(normalize_1_21,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(conjunct,[],[normalize_1_20]) ).
fof(normalize_1_22,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_1_23,plain,
e12 = op1(e13,e13),
inference(conjunct,[],[normalize_1_22]) ).
fof(normalize_1_24,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_1_25,plain,
e11 != e12,
inference(conjunct,[],[normalize_1_24]) ).
fof(normalize_1_26,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_27,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_1_26]) ).
fof(normalize_1_28,plain,
e11 = op1(op1(e13,e13),e13),
inference(conjunct,[],[normalize_1_22]) ).
fof(normalize_1_29,plain,
h2(e11) = op2(op2(e21,e21),e21),
inference(conjunct,[],[normalize_1_6]) ).
fof(normalize_1_30,plain,
h2(e12) = op2(e21,e21),
inference(conjunct,[],[normalize_1_6]) ).
fof(normalize_1_31,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22 ) )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_1_32,plain,
( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ),
inference(conjunct,[],[normalize_1_31]) ).
fof(normalize_1_33,plain,
( ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e20) != e23 )
& ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e23) = e20 )
& ( op2(e21,e20) != e21
| op2(e23,e20) != e23
| op2(e22,e22) = e20 )
& ( op2(e21,e20) != e21
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e20) != e22
| op2(e23,e20) != e23
| op2(e21,e21) = e20 )
& ( op2(e22,e20) != e22
| op2(e21,e21) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) != e23
| op2(e21,e21) = e20
| op2(e22,e22) = e20 )
& ( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ) ),
inference(clausify,[],[normalize_1_32]) ).
fof(normalize_1_34,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_1_33]) ).
fof(normalize_1_35,plain,
h3(e12) = op2(e22,e22),
inference(conjunct,[],[normalize_1_8]) ).
fof(normalize_1_36,plain,
e22 = op2(e23,e23),
inference(conjunct,[],[normalize_1_14]) ).
fof(normalize_1_37,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_1_38,plain,
e20 != e22,
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_39,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_1_40,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_1_39]) ).
fof(normalize_1_41,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_42,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_1_39]) ).
fof(normalize_1_43,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(conjunct,[],[normalize_1_6]) ).
fof(normalize_1_44,plain,
h1(e11) = op2(op2(e20,e20),e20),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_45,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_46,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_1_39]) ).
fof(normalize_1_47,plain,
( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) ),
inference(conjunct,[],[normalize_1_31]) ).
fof(normalize_1_48,plain,
( ( op2(e20,e23) != e20
| op2(e21,e23) != e21
| op2(e22,e23) != e22 )
& ( op2(e20,e23) != e20
| op2(e21,e23) != e21
| op2(e22,e22) = e23 )
& ( op2(e20,e23) != e20
| op2(e22,e23) != e22
| op2(e21,e21) = e23 )
& ( op2(e20,e23) != e20
| op2(e21,e21) = e23
| op2(e22,e22) = e23 )
& ( op2(e21,e23) != e21
| op2(e22,e23) != e22
| op2(e20,e20) = e23 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e22,e22) = e23 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ) ),
inference(clausify,[],[normalize_1_47]) ).
fof(normalize_1_49,plain,
( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ),
inference(conjunct,[],[normalize_1_48]) ).
fof(normalize_1_50,plain,
e20 != e23,
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_51,plain,
e21 != e23,
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_52,plain,
e22 != e23,
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_53,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_54,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_1_39]) ).
fof(normalize_1_55,plain,
e21 != e22,
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_56,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_57,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_58,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_1_57]) ).
fof(normalize_1_59,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_1_39]) ).
fof(normalize_1_60,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_1_39]) ).
fof(normalize_1_61,plain,
e20 != e21,
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_62,plain,
op2(e21,e20) != op2(e21,e21),
inference(conjunct,[],[normalize_1_39]) ).
fof(normalize_1_63,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_64,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_1_39]) ).
fof(normalize_1_65,plain,
h4(op1(e10,e11)) != op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_66,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_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_1_68,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_1_67]) ).
fof(normalize_1_69,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_1_67]) ).
fof(normalize_1_70,plain,
e10 != e12,
inference(conjunct,[],[normalize_1_24]) ).
fof(normalize_1_71,plain,
e10 != e11,
inference(conjunct,[],[normalize_1_24]) ).
fof(normalize_1_72,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_1_26]) ).
fof(normalize_1_73,plain,
( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_74,plain,
( ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e10) != e13 )
& ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e13) = e10 )
& ( op1(e11,e10) != e11
| op1(e13,e10) != e13
| op1(e12,e12) = e10 )
& ( op1(e11,e10) != e11
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e10) != e12
| op1(e13,e10) != e13
| op1(e11,e11) = e10 )
& ( op1(e12,e10) != e12
| op1(e11,e11) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) != e13
| op1(e11,e11) = e10
| op1(e12,e12) = e10 )
& ( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ) ),
inference(clausify,[],[normalize_1_73]) ).
fof(normalize_1_75,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_1_74]) ).
fof(normalize_1_76,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_1_26]) ).
fof(normalize_1_77,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_1_22]) ).
fof(normalize_1_78,plain,
e10 != e13,
inference(conjunct,[],[normalize_1_24]) ).
fof(normalize_1_79,plain,
e11 != e13,
inference(conjunct,[],[normalize_1_24]) ).
fof(normalize_1_80,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_1_26]) ).
fof(normalize_1_81,plain,
( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 ) ),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_82,plain,
( ( op1(e10,e13) != e10
| op1(e11,e13) != e11
| op1(e12,e13) != e12 )
& ( op1(e10,e13) != e10
| op1(e11,e13) != e11
| op1(e12,e12) = e13 )
& ( op1(e10,e13) != e10
| op1(e12,e13) != e12
| op1(e11,e11) = e13 )
& ( op1(e10,e13) != e10
| op1(e11,e11) = e13
| op1(e12,e12) = e13 )
& ( op1(e11,e13) != e11
| op1(e12,e13) != e12
| op1(e10,e10) = e13 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e12,e12) = e13 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13 ) ),
inference(clausify,[],[normalize_1_81]) ).
fof(normalize_1_83,plain,
( op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13 ),
inference(conjunct,[],[normalize_1_82]) ).
cnf(refute_1_0,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
h1(e12) = op2(e20,e20),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_2,refute_1_3]) ).
cnf(refute_1_5,plain,
( h1(e12) != op2(e20,e20)
| op2(e20,e20) = h1(e12) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h1(e12))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_1_6,plain,
op2(e20,e20) = h1(e12),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,e20)) )],[refute_1_1,refute_1_5]) ).
cnf(refute_1_7,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e12)
| h1(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e12))]]) ).
cnf(refute_1_8,plain,
( op2(e20,e20) != e23
| h1(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_1_6,refute_1_7]) ).
cnf(refute_1_9,plain,
( h1(e12) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_1_0,refute_1_8]) ).
cnf(refute_1_10,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_11,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_12,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_13,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_1_14,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_1_12,refute_1_13]) ).
cnf(refute_1_15,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_1_16,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_1_14,refute_1_15]) ).
cnf(refute_1_17,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_1_11,refute_1_16]) ).
cnf(refute_1_18,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_1_19,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_20,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_1_18,refute_1_19]) ).
cnf(refute_1_21,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_17,refute_1_20]) ).
cnf(refute_1_22,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_1_23,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_24,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_1_22,refute_1_23]) ).
cnf(refute_1_25,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_17,refute_1_24]) ).
cnf(refute_1_26,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_27,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_4,refute_1_26]) ).
cnf(refute_1_28,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_1_27:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_1_29,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_1_25,refute_1_28]) ).
cnf(refute_1_30,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_1_21,refute_1_29]) ).
cnf(refute_1_31,plain,
( op2(e20,e20) != h1(e12)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e12) ),
inference(subst,[],[refute_1_27:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e12)))]]) ).
cnf(refute_1_32,plain,
( op2(e20,e20) != h1(e12)
| op2(h4(e10),h4(e10)) = h1(e12) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_1_30,refute_1_31]) ).
cnf(refute_1_33,plain,
op2(h4(e10),h4(e10)) = h1(e12),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_1_6,refute_1_32]) ).
cnf(refute_1_34,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e12)
| h4(op1(e10,e10)) = h1(e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e12)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_1_35,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e12) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e12)) )],[refute_1_33,refute_1_34]) ).
cnf(refute_1_36,plain,
h4(op1(e10,e10)) = h1(e12),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_1_10,refute_1_35]) ).
cnf(refute_1_37,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_1_16]) ).
cnf(refute_1_38,plain,
e21 = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_39,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = e21 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(op2(e23,e23),e23)))]]) ).
cnf(refute_1_40,plain,
op2(op2(e23,e23),e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_1_38,refute_1_39]) ).
cnf(refute_1_41,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_1_42,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),e21) )],[refute_1_40,refute_1_41]) ).
cnf(refute_1_43,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),e23)) )],[refute_1_37,refute_1_42]) ).
cnf(refute_1_44,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(canonicalize,[],[normalize_1_21]) ).
cnf(refute_1_45,plain,
e12 = op1(e13,e13),
inference(canonicalize,[],[normalize_1_23]) ).
cnf(refute_1_46,plain,
( e12 != op1(e13,e13)
| op1(e13,e13) = e12 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_1_47,plain,
op1(e13,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_1_45,refute_1_46]) ).
cnf(refute_1_48,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[0],$fot(e12)]]) ).
cnf(refute_1_49,plain,
( op1(e13,e13) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_1_47,refute_1_48]) ).
cnf(refute_1_50,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_44,refute_1_49]) ).
cnf(refute_1_51,plain,
e11 != e12,
inference(canonicalize,[],[normalize_1_25]) ).
cnf(refute_1_52,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_1_53,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_1_52,refute_1_51]) ).
cnf(refute_1_54,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_1_50,refute_1_53]) ).
cnf(refute_1_55,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_1_27]) ).
cnf(refute_1_56,plain,
e11 = op1(op1(e13,e13),e13),
inference(canonicalize,[],[normalize_1_28]) ).
cnf(refute_1_57,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_1_58,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(e12)]]) ).
cnf(refute_1_59,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_1_57,refute_1_58]) ).
cnf(refute_1_60,plain,
op1(op1(e13,e13),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_1_47,refute_1_59]) ).
cnf(refute_1_61,plain,
( e11 != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_1_62,plain,
( e11 != op1(op1(e13,e13),e13)
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e12,e13)) )],[refute_1_60,refute_1_61]) ).
cnf(refute_1_63,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),e13)) )],[refute_1_56,refute_1_62]) ).
cnf(refute_1_64,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_1_65,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_1_63,refute_1_64]) ).
cnf(refute_1_66,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_1_67,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_1_65,refute_1_66]) ).
cnf(refute_1_68,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_1_67,refute_1_55]) ).
cnf(refute_1_69,plain,
op1(e10,e10) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_1_54,refute_1_68]) ).
cnf(refute_1_70,plain,
h4(op1(e10,e10)) = h4(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).
cnf(refute_1_71,plain,
( h4(op1(e10,e10)) != h4(op1(e10,e10))
| op1(e10,e10) != e11
| h4(op1(e10,e10)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) ),[1,0],$fot(e11)]]) ).
cnf(refute_1_72,plain,
( op1(e10,e10) != e11
| h4(op1(e10,e10)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_1_70,refute_1_71]) ).
cnf(refute_1_73,plain,
h4(op1(e10,e10)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_69,refute_1_72]) ).
cnf(refute_1_74,plain,
( h4(e11) != e21
| h4(op1(e10,e10)) != h4(e11)
| h4(op1(e10,e10)) = e21 ),
inference(subst,[],[refute_1_27:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_1_75,plain,
( h4(e11) != e21
| h4(op1(e10,e10)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e11)) )],[refute_1_73,refute_1_74]) ).
cnf(refute_1_76,plain,
h4(op1(e10,e10)) = e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_1_43,refute_1_75]) ).
cnf(refute_1_77,plain,
( h4(op1(e10,e10)) != e21
| h4(op1(e10,e10)) != h1(e12)
| e21 = h1(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e12)) ),[0],$fot(e21)]]) ).
cnf(refute_1_78,plain,
( h4(op1(e10,e10)) != h1(e12)
| e21 = h1(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e21) )],[refute_1_76,refute_1_77]) ).
cnf(refute_1_79,plain,
e21 = h1(e12),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e12)) )],[refute_1_36,refute_1_78]) ).
cnf(refute_1_80,plain,
( e21 != h1(e12)
| h1(e12) = e21 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e21)),bind(Y,$fot(h1(e12)))]]) ).
cnf(refute_1_81,plain,
h1(e12) = e21,
inference(resolve,[$cnf( $equal(e21,h1(e12)) )],[refute_1_79,refute_1_80]) ).
cnf(refute_1_82,plain,
( h1(e12) != e21
| h1(e12) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e23) ),[0],$fot(e21)]]) ).
cnf(refute_1_83,plain,
( h1(e12) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_1_81,refute_1_82]) ).
cnf(refute_1_84,plain,
( e21 = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(h1(e12),e23) )],[refute_1_9,refute_1_83]) ).
cnf(refute_1_85,plain,
h2(e11) = op2(op2(e21,e21),e21),
inference(canonicalize,[],[normalize_1_29]) ).
cnf(refute_1_86,plain,
h2(e12) = op2(e21,e21),
inference(canonicalize,[],[normalize_1_30]) ).
cnf(refute_1_87,plain,
( h2(e12) != op2(e21,e21)
| op2(e21,e21) = h2(e12) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h2(e12))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_1_88,plain,
op2(e21,e21) = h2(e12),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e21)) )],[refute_1_86,refute_1_87]) ).
cnf(refute_1_89,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_1_90,plain,
( op2(e21,e21) != h2(e12)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e12),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e12))]]) ).
cnf(refute_1_91,plain,
( op2(e21,e21) != h2(e12)
| op2(op2(e21,e21),e21) = op2(h2(e12),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_1_89,refute_1_90]) ).
cnf(refute_1_92,plain,
op2(op2(e21,e21),e21) = op2(h2(e12),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_1_88,refute_1_91]) ).
cnf(refute_1_93,plain,
( h2(e11) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) != op2(h2(e12),e21)
| h2(e11) = op2(h2(e12),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e12),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_1_94,plain,
( h2(e11) != op2(op2(e21,e21),e21)
| h2(e11) = op2(h2(e12),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e12),e21)) )],[refute_1_92,refute_1_93]) ).
cnf(refute_1_95,plain,
h2(e11) = op2(h2(e12),e21),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),e21)) )],[refute_1_85,refute_1_94]) ).
cnf(refute_1_96,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_1_34]) ).
cnf(refute_1_97,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e12)
| h2(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e12))]]) ).
cnf(refute_1_98,plain,
( op2(e21,e21) != e20
| h2(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_1_88,refute_1_97]) ).
cnf(refute_1_99,plain,
( h2(e12) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_1_96,refute_1_98]) ).
cnf(refute_1_100,plain,
h3(e12) = op2(e22,e22),
inference(canonicalize,[],[normalize_1_35]) ).
cnf(refute_1_101,plain,
( h3(e12) != op2(e22,e22)
| op2(e22,e22) = h3(e12) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_1_102,plain,
op2(e22,e22) = h3(e12),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e22)) )],[refute_1_100,refute_1_101]) ).
cnf(refute_1_103,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e12)
| h3(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e12))]]) ).
cnf(refute_1_104,plain,
( op2(e22,e22) != e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_1_102,refute_1_103]) ).
cnf(refute_1_105,plain,
( h2(e12) = e20
| h3(e12) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_1_99,refute_1_104]) ).
cnf(refute_1_106,plain,
e22 = op2(e23,e23),
inference(canonicalize,[],[normalize_1_36]) ).
cnf(refute_1_107,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_1_108,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_1_106,refute_1_107]) ).
cnf(refute_1_109,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_1_110,plain,
( op2(e23,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_1_108,refute_1_109]) ).
cnf(refute_1_111,plain,
( e22 = e20
| h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_105,refute_1_110]) ).
cnf(refute_1_112,plain,
e20 != e22,
inference(canonicalize,[],[normalize_1_38]) ).
cnf(refute_1_113,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_1_114,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_113,refute_1_112]) ).
cnf(refute_1_115,plain,
( h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_1_111,refute_1_114]) ).
cnf(refute_1_116,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_1_40]) ).
cnf(refute_1_117,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_1_118,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_1_102,refute_1_117]) ).
cnf(refute_1_119,plain,
h3(e12) != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_1_118,refute_1_116]) ).
cnf(refute_1_120,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_1_121,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_1_122,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_1_120,refute_1_121]) ).
cnf(refute_1_123,plain,
op2(e23,op2(e23,e23)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_1_108,refute_1_122]) ).
cnf(refute_1_124,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_1_125,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e22)) )],[refute_1_123,refute_1_124]) ).
cnf(refute_1_126,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_1_12,refute_1_125]) ).
cnf(refute_1_127,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_1_128,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_1_126,refute_1_127]) ).
cnf(refute_1_129,plain,
( h3(e12) != e20
| op2(e23,e22) != e20
| h3(e12) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_1_130,plain,
( h3(e12) != e20
| h3(e12) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_1_128,refute_1_129]) ).
cnf(refute_1_131,plain,
h3(e12) != e20,
inference(resolve,[$cnf( $equal(h3(e12),op2(e23,e22)) )],[refute_1_130,refute_1_119]) ).
cnf(refute_1_132,plain,
h2(e12) = e20,
inference(resolve,[$cnf( $equal(h3(e12),e20) )],[refute_1_115,refute_1_131]) ).
cnf(refute_1_133,plain,
op2(h2(e12),e21) = op2(h2(e12),e21),
introduced(tautology,[refl,[$fot(op2(h2(e12),e21))]]) ).
cnf(refute_1_134,plain,
( h2(e12) != e20
| op2(h2(e12),e21) != op2(h2(e12),e21)
| op2(h2(e12),e21) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e12),e21),op2(h2(e12),e21)) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_135,plain,
( h2(e12) != e20
| op2(h2(e12),e21) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h2(e12),e21),op2(h2(e12),e21)) )],[refute_1_133,refute_1_134]) ).
cnf(refute_1_136,plain,
op2(h2(e12),e21) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_1_132,refute_1_135]) ).
cnf(refute_1_137,plain,
( h2(e11) != op2(h2(e12),e21)
| op2(h2(e12),e21) != op2(e20,e21)
| h2(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e20,e21)) ),[0],$fot(op2(h2(e12),e21))]]) ).
cnf(refute_1_138,plain,
( h2(e11) != op2(h2(e12),e21)
| h2(e11) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h2(e12),e21),op2(e20,e21)) )],[refute_1_136,refute_1_137]) ).
cnf(refute_1_139,plain,
h2(e11) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e12),e21)) )],[refute_1_95,refute_1_138]) ).
cnf(refute_1_140,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_1_41]) ).
cnf(refute_1_141,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_1_142,plain,
( op2(e20,e20) != h1(e12)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e12))]]) ).
cnf(refute_1_143,plain,
( op2(e20,e20) != h1(e12)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e12)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_1_141,refute_1_142]) ).
cnf(refute_1_144,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e12)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_1_6,refute_1_143]) ).
cnf(refute_1_145,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) != op2(e20,h1(e12))
| h1(e10) = op2(e20,h1(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e20,h1(e12))) ),[0],$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_1_146,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| h1(e10) = op2(e20,h1(e12)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e12))) )],[refute_1_144,refute_1_145]) ).
cnf(refute_1_147,plain,
h1(e10) = op2(e20,h1(e12)),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,op2(e20,e20))) )],[refute_1_140,refute_1_146]) ).
cnf(refute_1_148,plain,
( h2(e11) != op2(e20,e21)
| op2(e20,e21) = h2(e11) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_1_149,plain,
op2(e20,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e21)) )],[refute_1_139,refute_1_148]) ).
cnf(refute_1_150,plain,
op2(e20,h1(e12)) = op2(e20,h1(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h1(e12)))]]) ).
cnf(refute_1_151,plain,
( h1(e12) != e21
| op2(e20,h1(e12)) != op2(e20,h1(e12))
| op2(e20,h1(e12)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e12)),op2(e20,h1(e12))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_152,plain,
( h1(e12) != e21
| op2(e20,h1(e12)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e12)),op2(e20,h1(e12))) )],[refute_1_150,refute_1_151]) ).
cnf(refute_1_153,plain,
op2(e20,h1(e12)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_1_81,refute_1_152]) ).
cnf(refute_1_154,plain,
( op2(e20,e21) != h2(e11)
| op2(e20,h1(e12)) != op2(e20,e21)
| op2(e20,h1(e12)) = h2(e11) ),
inference(subst,[],[refute_1_27:[bind(X,$fot(op2(e20,h1(e12)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_1_155,plain,
( op2(e20,e21) != h2(e11)
| op2(e20,h1(e12)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e12)),op2(e20,e21)) )],[refute_1_153,refute_1_154]) ).
cnf(refute_1_156,plain,
op2(e20,h1(e12)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_1_149,refute_1_155]) ).
cnf(refute_1_157,plain,
( h1(e10) != op2(e20,h1(e12))
| op2(e20,h1(e12)) != h2(e11)
| h1(e10) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h2(e11)) ),[0],$fot(op2(e20,h1(e12)))]]) ).
cnf(refute_1_158,plain,
( h1(e10) != op2(e20,h1(e12))
| h1(e10) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e12)),h2(e11)) )],[refute_1_156,refute_1_157]) ).
cnf(refute_1_159,plain,
h1(e10) = h2(e11),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e12))) )],[refute_1_147,refute_1_158]) ).
cnf(refute_1_160,plain,
( h1(e10) != h2(e11)
| h2(e11) = h1(e10) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_1_161,plain,
h2(e11) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),h2(e11)) )],[refute_1_159,refute_1_160]) ).
cnf(refute_1_162,plain,
( h2(e11) != h1(e10)
| h2(e11) != op2(e20,e21)
| h1(e10) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e20,e21)) ),[0],$fot(h1(e10))]]) ).
cnf(refute_1_163,plain,
( h2(e11) != op2(e20,e21)
| h1(e10) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h2(e11),h1(e10)) )],[refute_1_161,refute_1_162]) ).
cnf(refute_1_164,plain,
h1(e10) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e21)) )],[refute_1_139,refute_1_163]) ).
cnf(refute_1_165,plain,
( h1(e10) != op2(e20,e21)
| op2(e20,e21) = h1(e10) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_1_166,plain,
op2(e20,e21) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e21)) )],[refute_1_164,refute_1_165]) ).
cnf(refute_1_167,plain,
( op2(e20,e21) != e23
| op2(e20,e21) != h1(e10)
| h1(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(h1(e10))]]) ).
cnf(refute_1_168,plain,
( op2(e20,e21) != e23
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e10)) )],[refute_1_166,refute_1_167]) ).
cnf(refute_1_169,plain,
( e21 = e23
| h1(e10) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_1_84,refute_1_168]) ).
cnf(refute_1_170,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_1_42]) ).
cnf(refute_1_171,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(canonicalize,[],[normalize_1_43]) ).
cnf(refute_1_172,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_1_173,plain,
( op2(e21,e21) != h2(e12)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e12))]]) ).
cnf(refute_1_174,plain,
( op2(e21,e21) != h2(e12)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e12)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_1_172,refute_1_173]) ).
cnf(refute_1_175,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e12)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_1_88,refute_1_174]) ).
cnf(refute_1_176,plain,
( h2(e10) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) != op2(e21,h2(e12))
| h2(e10) = op2(e21,h2(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e21,h2(e12))) ),[0],$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_1_177,plain,
( h2(e10) != op2(e21,op2(e21,e21))
| h2(e10) = op2(e21,h2(e12)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e12))) )],[refute_1_175,refute_1_176]) ).
cnf(refute_1_178,plain,
h2(e10) = op2(e21,h2(e12)),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,op2(e21,e21))) )],[refute_1_171,refute_1_177]) ).
cnf(refute_1_179,plain,
op2(e21,h2(e12)) = op2(e21,h2(e12)),
introduced(tautology,[refl,[$fot(op2(e21,h2(e12)))]]) ).
cnf(refute_1_180,plain,
( h2(e12) != e20
| op2(e21,h2(e12)) != op2(e21,h2(e12))
| op2(e21,h2(e12)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e12)),op2(e21,h2(e12))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_181,plain,
( h2(e12) != e20
| op2(e21,h2(e12)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e12)),op2(e21,h2(e12))) )],[refute_1_179,refute_1_180]) ).
cnf(refute_1_182,plain,
op2(e21,h2(e12)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_1_132,refute_1_181]) ).
cnf(refute_1_183,plain,
( h2(e10) != op2(e21,h2(e12))
| op2(e21,h2(e12)) != op2(e21,e20)
| h2(e10) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e21,e20)) ),[0],$fot(op2(e21,h2(e12)))]]) ).
cnf(refute_1_184,plain,
( h2(e10) != op2(e21,h2(e12))
| h2(e10) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e12)),op2(e21,e20)) )],[refute_1_182,refute_1_183]) ).
cnf(refute_1_185,plain,
h2(e10) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e12))) )],[refute_1_178,refute_1_184]) ).
cnf(refute_1_186,plain,
( h2(e10) != op2(e21,e20)
| op2(e21,e20) = h2(e10) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_1_187,plain,
op2(e21,e20) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e20)) )],[refute_1_185,refute_1_186]) ).
cnf(refute_1_188,plain,
( h2(e10) != op2(e21,e22)
| op2(e21,e20) != h2(e10)
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),h2(e10)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_1_189,plain,
( h2(e10) != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e10)) )],[refute_1_187,refute_1_188]) ).
cnf(refute_1_190,plain,
h2(e10) != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_1_189,refute_1_170]) ).
cnf(refute_1_191,plain,
h1(e11) = op2(op2(e20,e20),e20),
inference(canonicalize,[],[normalize_1_44]) ).
cnf(refute_1_192,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_1_193,plain,
( op2(e20,e20) != h1(e12)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e12),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e12))]]) ).
cnf(refute_1_194,plain,
( op2(e20,e20) != h1(e12)
| op2(op2(e20,e20),e20) = op2(h1(e12),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_1_192,refute_1_193]) ).
cnf(refute_1_195,plain,
op2(op2(e20,e20),e20) = op2(h1(e12),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_1_6,refute_1_194]) ).
cnf(refute_1_196,plain,
( h1(e11) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) != op2(h1(e12),e20)
| h1(e11) = op2(h1(e12),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e12),e20)) ),[0],$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_1_197,plain,
( h1(e11) != op2(op2(e20,e20),e20)
| h1(e11) = op2(h1(e12),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e12),e20)) )],[refute_1_195,refute_1_196]) ).
cnf(refute_1_198,plain,
h1(e11) = op2(h1(e12),e20),
inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),e20)) )],[refute_1_191,refute_1_197]) ).
cnf(refute_1_199,plain,
op2(h1(e12),e20) = op2(h1(e12),e20),
introduced(tautology,[refl,[$fot(op2(h1(e12),e20))]]) ).
cnf(refute_1_200,plain,
( h1(e12) != e21
| op2(h1(e12),e20) != op2(h1(e12),e20)
| op2(h1(e12),e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e12),e20),op2(h1(e12),e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_201,plain,
( h1(e12) != e21
| op2(h1(e12),e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e12),e20),op2(h1(e12),e20)) )],[refute_1_199,refute_1_200]) ).
cnf(refute_1_202,plain,
op2(h1(e12),e20) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_1_81,refute_1_201]) ).
cnf(refute_1_203,plain,
( op2(e21,e20) != h2(e10)
| op2(h1(e12),e20) != op2(e21,e20)
| op2(h1(e12),e20) = h2(e10) ),
inference(subst,[],[refute_1_27:[bind(X,$fot(op2(h1(e12),e20))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(h2(e10)))]]) ).
cnf(refute_1_204,plain,
( op2(e21,e20) != h2(e10)
| op2(h1(e12),e20) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h1(e12),e20),op2(e21,e20)) )],[refute_1_202,refute_1_203]) ).
cnf(refute_1_205,plain,
op2(h1(e12),e20) = h2(e10),
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e10)) )],[refute_1_187,refute_1_204]) ).
cnf(refute_1_206,plain,
( h1(e11) != op2(h1(e12),e20)
| op2(h1(e12),e20) != h2(e10)
| h1(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h2(e10)) ),[0],$fot(op2(h1(e12),e20))]]) ).
cnf(refute_1_207,plain,
( h1(e11) != op2(h1(e12),e20)
| h1(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h1(e12),e20),h2(e10)) )],[refute_1_205,refute_1_206]) ).
cnf(refute_1_208,plain,
h1(e11) = h2(e10),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e12),e20)) )],[refute_1_198,refute_1_207]) ).
cnf(refute_1_209,plain,
( h1(e11) != h2(e10)
| h2(e10) = h1(e11) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_1_210,plain,
h2(e10) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),h2(e10)) )],[refute_1_208,refute_1_209]) ).
cnf(refute_1_211,plain,
( h1(e11) != op2(e21,e22)
| h2(e10) != h1(e11)
| h2(e10) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),h1(e11)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_1_212,plain,
( h1(e11) != op2(e21,e22)
| h2(e10) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h2(e10),h1(e11)) )],[refute_1_210,refute_1_211]) ).
cnf(refute_1_213,plain,
h1(e11) != op2(e21,e22),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e22)) )],[refute_1_212,refute_1_190]) ).
cnf(refute_1_214,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(canonicalize,[],[normalize_1_45]) ).
cnf(refute_1_215,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != h3(e12)
| h3(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(h3(e12))]]) ).
cnf(refute_1_216,plain,
( op2(e22,e22) != e22
| h3(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_1_102,refute_1_215]) ).
cnf(refute_1_217,plain,
( h3(e12) = e22
| op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_1_214,refute_1_216]) ).
cnf(refute_1_218,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_46]) ).
cnf(refute_1_219,plain,
( op2(e23,e22) != e22
| op2(e23,e23) != e22
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_1_220,plain,
( op2(e23,e22) != e22
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_1_108,refute_1_219]) ).
cnf(refute_1_221,plain,
op2(e23,e22) != e22,
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_1_220,refute_1_218]) ).
cnf(refute_1_222,plain,
( h3(e12) = e22
| op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_1_217,refute_1_221]) ).
cnf(refute_1_223,plain,
( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ),
inference(canonicalize,[],[normalize_1_49]) ).
cnf(refute_1_224,plain,
( h1(e12) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_1_223,refute_1_8]) ).
cnf(refute_1_225,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e12)
| h2(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e12))]]) ).
cnf(refute_1_226,plain,
( op2(e21,e21) != e23
| h2(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_1_88,refute_1_225]) ).
cnf(refute_1_227,plain,
( h1(e12) = e23
| h2(e12) = e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_1_224,refute_1_226]) ).
cnf(refute_1_228,plain,
( op2(e22,e22) != e23
| op2(e22,e22) != h3(e12)
| h3(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e12))]]) ).
cnf(refute_1_229,plain,
( op2(e22,e22) != e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_1_102,refute_1_228]) ).
cnf(refute_1_230,plain,
( h1(e12) = e23
| h2(e12) = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_227,refute_1_229]) ).
cnf(refute_1_231,plain,
( e21 = e23
| h2(e12) = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(h1(e12),e23) )],[refute_1_230,refute_1_83]) ).
cnf(refute_1_232,plain,
( h2(e12) != e20
| h2(e12) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e23) ),[0],$fot(e20)]]) ).
cnf(refute_1_233,plain,
( h2(e12) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_1_132,refute_1_232]) ).
cnf(refute_1_234,plain,
( e20 = e23
| e21 = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(h2(e12),e23) )],[refute_1_231,refute_1_233]) ).
cnf(refute_1_235,plain,
e20 != e23,
inference(canonicalize,[],[normalize_1_50]) ).
cnf(refute_1_236,plain,
( e21 = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_234,refute_1_235]) ).
cnf(refute_1_237,plain,
e21 != e23,
inference(canonicalize,[],[normalize_1_51]) ).
cnf(refute_1_238,plain,
h3(e12) = e23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_1_236,refute_1_237]) ).
cnf(refute_1_239,plain,
( h3(e12) != e22
| h3(e12) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e12),e22) ),[0],$fot(e23)]]) ).
cnf(refute_1_240,plain,
( h3(e12) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(h3(e12),e23) )],[refute_1_238,refute_1_239]) ).
cnf(refute_1_241,plain,
( e23 = e22
| op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_1_222,refute_1_240]) ).
cnf(refute_1_242,plain,
e22 != e23,
inference(canonicalize,[],[normalize_1_52]) ).
cnf(refute_1_243,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_1_244,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_1_243,refute_1_242]) ).
cnf(refute_1_245,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_1_241,refute_1_244]) ).
cnf(refute_1_246,plain,
( h1(e11) != e22
| op2(e21,e22) != e22
| h1(e11) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_1_247,plain,
( h1(e11) != e22
| h1(e11) = op2(e21,e22)
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_1_245,refute_1_246]) ).
cnf(refute_1_248,plain,
( h1(e11) != e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e22)) )],[refute_1_247,refute_1_213]) ).
cnf(refute_1_249,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(canonicalize,[],[normalize_1_53]) ).
cnf(refute_1_250,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e12)
| h1(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e12))]]) ).
cnf(refute_1_251,plain,
( op2(e20,e20) != e22
| h1(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_1_6,refute_1_250]) ).
cnf(refute_1_252,plain,
( h1(e12) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_1_249,refute_1_251]) ).
cnf(refute_1_253,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_54]) ).
cnf(refute_1_254,plain,
( op2(e23,e20) != e22
| op2(e23,e23) != e22
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_1_255,plain,
( op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_1_108,refute_1_254]) ).
cnf(refute_1_256,plain,
op2(e23,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_1_255,refute_1_253]) ).
cnf(refute_1_257,plain,
( h1(e12) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_252,refute_1_256]) ).
cnf(refute_1_258,plain,
( h1(e12) != e21
| h1(e12) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e22) ),[0],$fot(e21)]]) ).
cnf(refute_1_259,plain,
( h1(e12) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_1_81,refute_1_258]) ).
cnf(refute_1_260,plain,
( e21 = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(h1(e12),e22) )],[refute_1_257,refute_1_259]) ).
cnf(refute_1_261,plain,
( h2(e10) != h1(e11)
| h2(e10) != op2(e21,e20)
| h1(e11) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e21,e20)) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_262,plain,
( h2(e10) != op2(e21,e20)
| h1(e11) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h2(e10),h1(e11)) )],[refute_1_210,refute_1_261]) ).
cnf(refute_1_263,plain,
h1(e11) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e20)) )],[refute_1_185,refute_1_262]) ).
cnf(refute_1_264,plain,
( h1(e11) != op2(e21,e20)
| op2(e21,e20) = h1(e11) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_1_265,plain,
op2(e21,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e20)) )],[refute_1_263,refute_1_264]) ).
cnf(refute_1_266,plain,
( op2(e21,e20) != e22
| op2(e21,e20) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_267,plain,
( op2(e21,e20) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e11)) )],[refute_1_265,refute_1_266]) ).
cnf(refute_1_268,plain,
( e21 = e22
| h1(e11) = e22
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_1_260,refute_1_267]) ).
cnf(refute_1_269,plain,
e21 != e22,
inference(canonicalize,[],[normalize_1_55]) ).
cnf(refute_1_270,plain,
( h1(e11) = e22
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_268,refute_1_269]) ).
cnf(refute_1_271,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(canonicalize,[],[normalize_1_56]) ).
cnf(refute_1_272,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e12)
| h1(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e12))]]) ).
cnf(refute_1_273,plain,
( op2(e20,e20) != e20
| h1(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_1_6,refute_1_272]) ).
cnf(refute_1_274,plain,
( h1(e12) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_1_271,refute_1_273]) ).
cnf(refute_1_275,plain,
( h1(e12) != e20
| h1(e12) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e20) ),[0],$fot(e21)]]) ).
cnf(refute_1_276,plain,
( h1(e12) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_1_81,refute_1_275]) ).
cnf(refute_1_277,plain,
( e21 = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(h1(e12),e20) )],[refute_1_274,refute_1_276]) ).
cnf(refute_1_278,plain,
( op2(e21,e20) != e20
| op2(e21,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_279,plain,
( op2(e21,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e11)) )],[refute_1_265,refute_1_278]) ).
cnf(refute_1_280,plain,
( e21 = e20
| h1(e11) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_1_277,refute_1_279]) ).
cnf(refute_1_281,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_1_58]) ).
cnf(refute_1_282,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_1_281,refute_1_256]) ).
cnf(refute_1_283,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_1_59]) ).
cnf(refute_1_284,plain,
( op2(e23,e20) != e20
| op2(e23,e22) != e20
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_1_285,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_1_128,refute_1_284]) ).
cnf(refute_1_286,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_1_285,refute_1_283]) ).
cnf(refute_1_287,plain,
( op2(e23,e20) = e21
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_1_282,refute_1_286]) ).
cnf(refute_1_288,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_1_60]) ).
cnf(refute_1_289,plain,
( h1(e12) != op2(e23,e20)
| op2(e20,e20) != h1(e12)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e12)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_1_290,plain,
( h1(e12) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_1_6,refute_1_289]) ).
cnf(refute_1_291,plain,
h1(e12) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_1_290,refute_1_288]) ).
cnf(refute_1_292,plain,
( e21 != op2(e23,e20)
| h1(e12) != e21
| h1(e12) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e21) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_1_293,plain,
( e21 != op2(e23,e20)
| h1(e12) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_1_81,refute_1_292]) ).
cnf(refute_1_294,plain,
e21 != op2(e23,e20),
inference(resolve,[$cnf( $equal(h1(e12),op2(e23,e20)) )],[refute_1_293,refute_1_291]) ).
cnf(refute_1_295,plain,
( op2(e23,e20) != e21
| e21 = op2(e23,e20) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op2(e23,e20))),bind(Y,$fot(e21))]]) ).
cnf(refute_1_296,plain,
op2(e23,e20) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e20)) )],[refute_1_295,refute_1_294]) ).
cnf(refute_1_297,plain,
op2(e23,e20) = e23,
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_1_287,refute_1_296]) ).
cnf(refute_1_298,plain,
( op2(e23,e20) != e20
| op2(e23,e20) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),e20) ),[0],$fot(e23)]]) ).
cnf(refute_1_299,plain,
( op2(e23,e20) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_1_297,refute_1_298]) ).
cnf(refute_1_300,plain,
( e21 = e20
| e23 = e20
| h1(e11) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_1_280,refute_1_299]) ).
cnf(refute_1_301,plain,
e20 != e21,
inference(canonicalize,[],[normalize_1_61]) ).
cnf(refute_1_302,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_1_303,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_302,refute_1_301]) ).
cnf(refute_1_304,plain,
( e23 = e20
| h1(e11) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_1_300,refute_1_303]) ).
cnf(refute_1_305,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_1_306,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_305,refute_1_235]) ).
cnf(refute_1_307,plain,
( h1(e11) = e20
| op2(e22,e20) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_1_304,refute_1_306]) ).
cnf(refute_1_308,plain,
op2(e21,e20) != op2(e21,e21),
inference(canonicalize,[],[normalize_1_62]) ).
cnf(refute_1_309,plain,
( op2(e21,e20) != h2(e12)
| op2(e21,e21) != h2(e12)
| op2(e21,e20) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e21)) ),[1],$fot(h2(e12))]]) ).
cnf(refute_1_310,plain,
( op2(e21,e20) != h2(e12)
| op2(e21,e20) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_1_88,refute_1_309]) ).
cnf(refute_1_311,plain,
op2(e21,e20) != h2(e12),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e21)) )],[refute_1_310,refute_1_308]) ).
cnf(refute_1_312,plain,
( h2(e10) != h2(e12)
| op2(e21,e20) != h2(e10)
| op2(e21,e20) = h2(e12) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),h2(e10)) ),[1],$fot(h2(e12))]]) ).
cnf(refute_1_313,plain,
( h2(e10) != h2(e12)
| op2(e21,e20) = h2(e12) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e10)) )],[refute_1_187,refute_1_312]) ).
cnf(refute_1_314,plain,
( h2(e10) != e20
| h2(e12) != e20
| h2(e10) = h2(e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e12)) ),[1],$fot(e20)]]) ).
cnf(refute_1_315,plain,
( h2(e10) != e20
| h2(e10) = h2(e12) ),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_1_132,refute_1_314]) ).
cnf(refute_1_316,plain,
( h2(e10) != e20
| op2(e21,e20) = h2(e12) ),
inference(resolve,[$cnf( $equal(h2(e10),h2(e12)) )],[refute_1_315,refute_1_313]) ).
cnf(refute_1_317,plain,
h2(e10) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e12)) )],[refute_1_316,refute_1_311]) ).
cnf(refute_1_318,plain,
( h1(e11) != e20
| h2(e10) != h1(e11)
| h2(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),h1(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_1_319,plain,
( h1(e11) != e20
| h2(e10) = e20 ),
inference(resolve,[$cnf( $equal(h2(e10),h1(e11)) )],[refute_1_210,refute_1_318]) ).
cnf(refute_1_320,plain,
h1(e11) != e20,
inference(resolve,[$cnf( $equal(h2(e10),e20) )],[refute_1_319,refute_1_317]) ).
cnf(refute_1_321,plain,
op2(e22,e20) = e20,
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_1_307,refute_1_320]) ).
cnf(refute_1_322,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e20)]]) ).
cnf(refute_1_323,plain,
( op2(e22,e20) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_1_321,refute_1_322]) ).
cnf(refute_1_324,plain,
( e20 = e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_1_270,refute_1_323]) ).
cnf(refute_1_325,plain,
h1(e11) = e22,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_324,refute_1_112]) ).
cnf(refute_1_326,plain,
( e22 != e22
| h1(e11) != e22
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e22) ),[1],$fot(e22)]]) ).
cnf(refute_1_327,plain,
( e22 != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_1_325,refute_1_326]) ).
cnf(refute_1_328,plain,
( e22 != e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_1_327,refute_1_248]) ).
cnf(refute_1_329,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_1_330,plain,
op2(e20,e22) = e22,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_1_329,refute_1_328]) ).
cnf(refute_1_331,plain,
( op2(e20,e22) != e22
| op2(e20,e22) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e23) ),[0],$fot(e22)]]) ).
cnf(refute_1_332,plain,
( op2(e20,e22) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_1_330,refute_1_331]) ).
cnf(refute_1_333,plain,
( e21 = e23
| e22 = e23
| h1(e10) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_1_169,refute_1_332]) ).
cnf(refute_1_334,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_1_63]) ).
cnf(refute_1_335,plain,
( e22 = e20
| op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_334,refute_1_110]) ).
cnf(refute_1_336,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_1_335,refute_1_114]) ).
cnf(refute_1_337,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_1_338,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_1_339,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_1_337,refute_1_338]) ).
cnf(refute_1_340,plain,
op2(op2(e23,e23),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_1_108,refute_1_339]) ).
cnf(refute_1_341,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_1_342,plain,
( e21 != op2(op2(e23,e23),e23)
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e22,e23)) )],[refute_1_340,refute_1_341]) ).
cnf(refute_1_343,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_1_38,refute_1_342]) ).
cnf(refute_1_344,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_1_345,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_1_343,refute_1_344]) ).
cnf(refute_1_346,plain,
( op2(e22,e23) != e20
| op2(e22,e23) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e20) ),[0],$fot(e21)]]) ).
cnf(refute_1_347,plain,
( op2(e22,e23) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_1_345,refute_1_346]) ).
cnf(refute_1_348,plain,
( e21 = e20
| op2(e20,e23) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_1_336,refute_1_347]) ).
cnf(refute_1_349,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_1_348,refute_1_303]) ).
cnf(refute_1_350,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_1_64]) ).
cnf(refute_1_351,plain,
( h2(e12) != op2(e21,e23)
| op2(e21,e21) != h2(e12)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e12)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_1_352,plain,
( h2(e12) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_1_88,refute_1_351]) ).
cnf(refute_1_353,plain,
h2(e12) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_1_352,refute_1_350]) ).
cnf(refute_1_354,plain,
( e20 != op2(e21,e23)
| h2(e12) != e20
| h2(e12) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e20) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_1_355,plain,
( e20 != op2(e21,e23)
| h2(e12) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_1_132,refute_1_354]) ).
cnf(refute_1_356,plain,
e20 != op2(e21,e23),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e23)) )],[refute_1_355,refute_1_353]) ).
cnf(refute_1_357,plain,
( op2(e21,e23) != e20
| e20 = op2(e21,e23) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e20))]]) ).
cnf(refute_1_358,plain,
op2(e21,e23) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e23)) )],[refute_1_357,refute_1_356]) ).
cnf(refute_1_359,plain,
op2(e20,e23) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_1_349,refute_1_358]) ).
cnf(refute_1_360,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_1_361,plain,
( op2(e20,e23) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_1_359,refute_1_360]) ).
cnf(refute_1_362,plain,
( e20 = e23
| e21 = e23
| e22 = e23
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_1_333,refute_1_361]) ).
cnf(refute_1_363,plain,
( e21 = e23
| e22 = e23
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_362,refute_1_235]) ).
cnf(refute_1_364,plain,
( e22 = e23
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_1_363,refute_1_237]) ).
cnf(refute_1_365,plain,
h1(e10) = e23,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_1_364,refute_1_242]) ).
cnf(refute_1_366,plain,
h4(op1(e10,e11)) != op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_1_65]) ).
cnf(refute_1_367,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_1_368,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_369,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_1_367,refute_1_368]) ).
cnf(refute_1_370,plain,
op2(e20,h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_1_43,refute_1_369]) ).
cnf(refute_1_371,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_1_372,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_373,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_1_371,refute_1_372]) ).
cnf(refute_1_374,plain,
op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_1_17,refute_1_373]) ).
cnf(refute_1_375,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_1_27:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_1_376,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_1_374,refute_1_375]) ).
cnf(refute_1_377,plain,
op2(h4(e10),h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_1_370,refute_1_376]) ).
cnf(refute_1_378,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_1_379,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_1_377,refute_1_378]) ).
cnf(refute_1_380,plain,
h4(op1(e10,e11)) != op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_1_379,refute_1_366]) ).
cnf(refute_1_381,plain,
( h4(op1(e10,e11)) != h2(e11)
| op2(e20,e21) != h2(e11)
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_1_382,plain,
( h4(op1(e10,e11)) != h2(e11)
| h4(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_1_149,refute_1_381]) ).
cnf(refute_1_383,plain,
h4(op1(e10,e11)) != h2(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_1_382,refute_1_380]) ).
cnf(refute_1_384,plain,
( h2(e11) != h1(e10)
| h4(op1(e10,e11)) != h1(e10)
| h4(op1(e10,e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),h2(e11)) ),[1],$fot(h1(e10))]]) ).
cnf(refute_1_385,plain,
( h4(op1(e10,e11)) != h1(e10)
| h4(op1(e10,e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),h1(e10)) )],[refute_1_161,refute_1_384]) ).
cnf(refute_1_386,plain,
h4(op1(e10,e11)) != h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h2(e11)) )],[refute_1_385,refute_1_383]) ).
cnf(refute_1_387,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_1_66]) ).
cnf(refute_1_388,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_1_68]) ).
cnf(refute_1_389,plain,
( op1(e10,e10) != e11
| op1(e10,e10) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[0],$fot(e11)]]) ).
cnf(refute_1_390,plain,
( op1(e10,e10) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_1_69,refute_1_389]) ).
cnf(refute_1_391,plain,
( e11 = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_1_388,refute_1_390]) ).
cnf(refute_1_392,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_1_69]) ).
cnf(refute_1_393,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_1_394,plain,
( op1(e13,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_1_47,refute_1_393]) ).
cnf(refute_1_395,plain,
( e12 = e10
| op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_392,refute_1_394]) ).
cnf(refute_1_396,plain,
e10 != e12,
inference(canonicalize,[],[normalize_1_70]) ).
cnf(refute_1_397,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_1_398,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_1_397,refute_1_396]) ).
cnf(refute_1_399,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_1_395,refute_1_398]) ).
cnf(refute_1_400,plain,
( op1(e12,e13) != e10
| op1(e12,e13) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e10) ),[0],$fot(e11)]]) ).
cnf(refute_1_401,plain,
( op1(e12,e13) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_1_65,refute_1_400]) ).
cnf(refute_1_402,plain,
( e11 = e10
| op1(e10,e13) = e10
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_1_399,refute_1_401]) ).
cnf(refute_1_403,plain,
e10 != e11,
inference(canonicalize,[],[normalize_1_71]) ).
cnf(refute_1_404,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_1_405,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_1_404,refute_1_403]) ).
cnf(refute_1_406,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_1_402,refute_1_405]) ).
cnf(refute_1_407,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_1_72]) ).
cnf(refute_1_408,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_1_75]) ).
cnf(refute_1_409,plain,
( e12 = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_408,refute_1_394]) ).
cnf(refute_1_410,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_1_409,refute_1_398]) ).
cnf(refute_1_411,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_1_76]) ).
cnf(refute_1_412,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_1_77]) ).
cnf(refute_1_413,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_1_414,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_1_415,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_1_413,refute_1_414]) ).
cnf(refute_1_416,plain,
op1(e13,op1(e13,e13)) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_1_47,refute_1_415]) ).
cnf(refute_1_417,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_1_418,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e12)) )],[refute_1_416,refute_1_417]) ).
cnf(refute_1_419,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_1_412,refute_1_418]) ).
cnf(refute_1_420,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_1_421,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_1_419,refute_1_420]) ).
cnf(refute_1_422,plain,
( op1(e12,e12) != e10
| op1(e13,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_1_423,plain,
( op1(e12,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_1_421,refute_1_422]) ).
cnf(refute_1_424,plain,
op1(e12,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_1_423,refute_1_411]) ).
cnf(refute_1_425,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_1_410,refute_1_424]) ).
cnf(refute_1_426,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) != e10
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_1_427,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_1_425,refute_1_426]) ).
cnf(refute_1_428,plain,
e10 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_1_427,refute_1_407]) ).
cnf(refute_1_429,plain,
( op1(e11,e13) != e10
| e10 = op1(e11,e13) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e10))]]) ).
cnf(refute_1_430,plain,
op1(e11,e13) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e13)) )],[refute_1_429,refute_1_428]) ).
cnf(refute_1_431,plain,
op1(e10,e13) = e10,
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_1_406,refute_1_430]) ).
cnf(refute_1_432,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_1_433,plain,
( op1(e10,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_1_431,refute_1_432]) ).
cnf(refute_1_434,plain,
( e10 = e13
| e11 = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_1_391,refute_1_433]) ).
cnf(refute_1_435,plain,
e10 != e13,
inference(canonicalize,[],[normalize_1_78]) ).
cnf(refute_1_436,plain,
( e11 = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_1_434,refute_1_435]) ).
cnf(refute_1_437,plain,
e11 != e13,
inference(canonicalize,[],[normalize_1_79]) ).
cnf(refute_1_438,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_1_436,refute_1_437]) ).
cnf(refute_1_439,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_1_80]) ).
cnf(refute_1_440,plain,
( op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13 ),
inference(canonicalize,[],[normalize_1_83]) ).
cnf(refute_1_441,plain,
( e11 = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_1_440,refute_1_390]) ).
cnf(refute_1_442,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[0],$fot(e10)]]) ).
cnf(refute_1_443,plain,
( op1(e11,e11) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_1_425,refute_1_442]) ).
cnf(refute_1_444,plain,
( e10 = e13
| e11 = e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_1_441,refute_1_443]) ).
cnf(refute_1_445,plain,
( e11 = e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_1_444,refute_1_435]) ).
cnf(refute_1_446,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_1_445,refute_1_437]) ).
cnf(refute_1_447,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_1_448,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_446,refute_1_447]) ).
cnf(refute_1_449,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_1_448,refute_1_439]) ).
cnf(refute_1_450,plain,
op1(e10,e11) = e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_1_438,refute_1_449]) ).
cnf(refute_1_451,plain,
h4(op1(e10,e11)) = h4(op1(e10,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e11)))]]) ).
cnf(refute_1_452,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e11))
| op1(e10,e11) != e13
| h4(op1(e10,e11)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) ),[1,0],$fot(e13)]]) ).
cnf(refute_1_453,plain,
( op1(e10,e11) != e13
| h4(op1(e10,e11)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) )],[refute_1_451,refute_1_452]) ).
cnf(refute_1_454,plain,
h4(op1(e10,e11)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_1_450,refute_1_453]) ).
cnf(refute_1_455,plain,
( h4(e13) != e23
| h4(op1(e10,e11)) != h4(e13)
| h4(op1(e10,e11)) = e23 ),
inference(subst,[],[refute_1_27:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_1_456,plain,
( h4(e13) != e23
| h4(op1(e10,e11)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(e13)) )],[refute_1_454,refute_1_455]) ).
cnf(refute_1_457,plain,
h4(op1(e10,e11)) = e23,
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_1_387,refute_1_456]) ).
cnf(refute_1_458,plain,
( e23 != h1(e10)
| h4(op1(e10,e11)) != e23
| h4(op1(e10,e11)) = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),e23) ),[1],$fot(h1(e10))]]) ).
cnf(refute_1_459,plain,
( e23 != h1(e10)
| h4(op1(e10,e11)) = h1(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e23) )],[refute_1_457,refute_1_458]) ).
cnf(refute_1_460,plain,
e23 != h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h1(e10)) )],[refute_1_459,refute_1_386]) ).
cnf(refute_1_461,plain,
( h1(e10) != e23
| e23 = h1(e10) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(e23))]]) ).
cnf(refute_1_462,plain,
h1(e10) != e23,
inference(resolve,[$cnf( $equal(e23,h1(e10)) )],[refute_1_461,refute_1_460]) ).
cnf(refute_1_463,plain,
$false,
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_1_365,refute_1_462]) ).
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,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12 ) )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_2_1,plain,
( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 ) ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
( ( op1(e10,e13) != e10
| op1(e11,e13) != e11
| op1(e12,e13) != e12 )
& ( op1(e10,e13) != e10
| op1(e11,e13) != e11
| op1(e12,e12) = e13 )
& ( op1(e10,e13) != e10
| op1(e12,e13) != e12
| op1(e11,e11) = e13 )
& ( op1(e10,e13) != e10
| op1(e11,e11) = e13
| op1(e12,e12) = e13 )
& ( op1(e11,e13) != e11
| op1(e12,e13) != e12
| op1(e10,e10) = e13 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e12,e12) = e13 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13 ) ),
inference(clausify,[],[normalize_2_1]) ).
fof(normalize_2_3,plain,
( op1(e10,e13) != e10
| op1(e11,e11) = e13
| op1(e12,e12) = e13 ),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_4,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_2_5,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_6,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_7,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_2_6]) ).
fof(normalize_2_8,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_9,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_2_10,plain,
e12 = op1(e13,e13),
inference(conjunct,[],[normalize_2_9]) ).
fof(normalize_2_11,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_12,plain,
e11 = op1(op1(e13,e13),e13),
inference(conjunct,[],[normalize_2_9]) ).
fof(normalize_2_13,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_2_6]) ).
fof(normalize_2_14,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_15,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_16,plain,
( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_17,plain,
( ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e10) != e13 )
& ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e13) = e10 )
& ( op1(e11,e10) != e11
| op1(e13,e10) != e13
| op1(e12,e12) = e10 )
& ( op1(e11,e10) != e11
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e10) != e12
| op1(e13,e10) != e13
| op1(e11,e11) = e10 )
& ( op1(e12,e10) != e12
| op1(e11,e11) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) != e13
| op1(e11,e11) = e10
| op1(e12,e12) = e10 )
& ( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ) ),
inference(clausify,[],[normalize_2_16]) ).
fof(normalize_2_18,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_2_17]) ).
fof(normalize_2_19,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_2_20,plain,
e10 != e12,
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_21,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_22,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_2_9]) ).
fof(normalize_2_23,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_24,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_25,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(conjunct,[],[normalize_2_24]) ).
fof(normalize_2_26,plain,
op1(e13,e12) != op1(e13,e13),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_27,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_2_24]) ).
fof(normalize_2_28,plain,
( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) ),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_29,plain,
( ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e11) != e13 )
& ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e13) = e11 )
& ( op1(e10,e11) != e10
| op1(e13,e11) != e13
| op1(e12,e12) = e11 )
& ( op1(e10,e11) != e10
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e11) != e12
| op1(e13,e11) != e13
| op1(e10,e10) = e11 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e12,e12) = e11 )
& ( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ) ),
inference(clausify,[],[normalize_2_28]) ).
fof(normalize_2_30,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(conjunct,[],[normalize_2_29]) ).
fof(normalize_2_31,plain,
e11 != e12,
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_32,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_33,plain,
e11 != e13,
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_34,plain,
e10 != e13,
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_35,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_36,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = op2(e20,e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_2_37,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_2_36]) ).
fof(normalize_2_38,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = op2(e21,e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_2_39,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_2_38]) ).
fof(normalize_2_40,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_2_41,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_2_40]) ).
fof(normalize_2_42,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_35,normalize_2_37,normalize_2_39,normalize_2_41]) ).
fof(normalize_2_43,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_2_42]) ).
fof(normalize_2_44,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_2_45,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_2_44]) ).
fof(normalize_2_46,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_2_47,plain,
e21 = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_2_46]) ).
fof(normalize_2_48,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_2_44]) ).
fof(normalize_2_49,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_2_46]) ).
fof(normalize_2_50,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_2_36]) ).
fof(normalize_2_51,plain,
h1(e12) = op2(e20,e20),
inference(conjunct,[],[normalize_2_36]) ).
fof(normalize_2_52,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22 ) )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_2_53,plain,
( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) ),
inference(conjunct,[],[normalize_2_52]) ).
fof(normalize_2_54,plain,
( ( op2(e20,e21) != e20
| op2(e22,e21) != e22
| op2(e23,e21) != e23 )
& ( op2(e20,e21) != e20
| op2(e22,e21) != e22
| op2(e23,e23) = e21 )
& ( op2(e20,e21) != e20
| op2(e23,e21) != e23
| op2(e22,e22) = e21 )
& ( op2(e20,e21) != e20
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e21) != e22
| op2(e23,e21) != e23
| op2(e20,e20) = e21 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e22,e22) = e21 )
& ( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ) ),
inference(clausify,[],[normalize_2_53]) ).
fof(normalize_2_55,plain,
( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(conjunct,[],[normalize_2_54]) ).
fof(normalize_2_56,plain,
h3(e12) = op2(e22,e22),
inference(conjunct,[],[normalize_2_40]) ).
fof(normalize_2_57,plain,
e22 = op2(e23,e23),
inference(conjunct,[],[normalize_2_46]) ).
fof(normalize_2_58,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_2_59,plain,
e21 != e22,
inference(conjunct,[],[normalize_2_58]) ).
fof(normalize_2_60,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_61,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_2_60]) ).
fof(normalize_2_62,plain,
h4(op1(e10,e12)) != op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_2_42]) ).
fof(normalize_2_63,plain,
h4(e12) = op2(e23,e23),
inference(conjunct,[],[normalize_2_44]) ).
fof(normalize_2_64,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_65,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(conjunct,[],[normalize_2_64]) ).
fof(normalize_2_66,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_2_60]) ).
fof(normalize_2_67,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(conjunct,[],[normalize_2_24]) ).
fof(normalize_2_68,plain,
e12 != e13,
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_69,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_2_44]) ).
fof(normalize_2_70,plain,
e22 != e23,
inference(conjunct,[],[normalize_2_58]) ).
fof(normalize_2_71,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(conjunct,[],[normalize_2_24]) ).
fof(normalize_2_72,plain,
e10 != e11,
inference(conjunct,[],[normalize_2_19]) ).
fof(normalize_2_73,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_2_4]) ).
cnf(refute_2_0,plain,
( op1(e10,e13) != e10
| op1(e11,e11) = e13
| op1(e12,e12) = e13 ),
inference(canonicalize,[],[normalize_2_3]) ).
cnf(refute_2_1,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_2_5]) ).
cnf(refute_2_2,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_2_7]) ).
cnf(refute_2_3,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_8]) ).
cnf(refute_2_4,plain,
e12 = op1(e13,e13),
inference(canonicalize,[],[normalize_2_10]) ).
cnf(refute_2_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_2_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_2_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_2_5,refute_2_6]) ).
cnf(refute_2_8,plain,
( e12 != op1(e13,e13)
| op1(e13,e13) = e12 ),
inference(subst,[],[refute_2_7:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_2_9,plain,
op1(e13,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_2_4,refute_2_8]) ).
cnf(refute_2_10,plain,
( op1(e10,e13) != e12
| op1(e13,e13) != e12
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_2_11,plain,
( op1(e10,e13) != e12
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_2_9,refute_2_10]) ).
cnf(refute_2_12,plain,
op1(e10,e13) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_2_11,refute_2_3]) ).
cnf(refute_2_13,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_2_2,refute_2_12]) ).
cnf(refute_2_14,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_2_11]) ).
cnf(refute_2_15,plain,
e11 = op1(op1(e13,e13),e13),
inference(canonicalize,[],[normalize_2_12]) ).
cnf(refute_2_16,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_2_17,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(e12)]]) ).
cnf(refute_2_18,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_2_16,refute_2_17]) ).
cnf(refute_2_19,plain,
op1(op1(e13,e13),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_2_9,refute_2_18]) ).
cnf(refute_2_20,plain,
( e11 != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_2_21,plain,
( e11 != op1(op1(e13,e13),e13)
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e12,e13)) )],[refute_2_19,refute_2_20]) ).
cnf(refute_2_22,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),e13)) )],[refute_2_15,refute_2_21]) ).
cnf(refute_2_23,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_2_7:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_2_24,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_2_22,refute_2_23]) ).
cnf(refute_2_25,plain,
( op1(e10,e13) != e11
| op1(e12,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_26,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_2_24,refute_2_25]) ).
cnf(refute_2_27,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_2_26,refute_2_14]) ).
cnf(refute_2_28,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_2_13,refute_2_27]) ).
cnf(refute_2_29,plain,
( e13 != op1(e11,e13)
| op1(e10,e13) != e13
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_2_30,plain,
( e13 != op1(e11,e13)
| op1(e10,e13) = e10
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_2_28,refute_2_29]) ).
cnf(refute_2_31,plain,
( e13 != op1(e11,e13)
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_2_30,refute_2_1]) ).
cnf(refute_2_32,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_2_13]) ).
cnf(refute_2_33,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_14]) ).
cnf(refute_2_34,plain,
( op1(e11,e13) != e12
| op1(e13,e13) != e12
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_2_35,plain,
( op1(e11,e13) != e12
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_2_9,refute_2_34]) ).
cnf(refute_2_36,plain,
op1(e11,e13) != e12,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_2_35,refute_2_33]) ).
cnf(refute_2_37,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_2_32,refute_2_36]) ).
cnf(refute_2_38,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_2_15]) ).
cnf(refute_2_39,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_2_18]) ).
cnf(refute_2_40,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_2_41,plain,
( op1(e13,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_2_9,refute_2_40]) ).
cnf(refute_2_42,plain,
( e12 = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_39,refute_2_41]) ).
cnf(refute_2_43,plain,
e10 != e12,
inference(canonicalize,[],[normalize_2_20]) ).
cnf(refute_2_44,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_2_7:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_2_45,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_2_44,refute_2_43]) ).
cnf(refute_2_46,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_2_42,refute_2_45]) ).
cnf(refute_2_47,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_2_21]) ).
cnf(refute_2_48,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_2_22]) ).
cnf(refute_2_49,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_2_50,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_2_51,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_2_49,refute_2_50]) ).
cnf(refute_2_52,plain,
op1(e13,op1(e13,e13)) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_2_9,refute_2_51]) ).
cnf(refute_2_53,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_2_54,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e12)) )],[refute_2_52,refute_2_53]) ).
cnf(refute_2_55,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_2_48,refute_2_54]) ).
cnf(refute_2_56,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_2_7:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_2_57,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_2_55,refute_2_56]) ).
cnf(refute_2_58,plain,
( op1(e12,e12) != e10
| op1(e13,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_2_59,plain,
( op1(e12,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_2_57,refute_2_58]) ).
cnf(refute_2_60,plain,
op1(e12,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_2_59,refute_2_47]) ).
cnf(refute_2_61,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_2_46,refute_2_60]) ).
cnf(refute_2_62,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) != e10
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_2_63,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_2_61,refute_2_62]) ).
cnf(refute_2_64,plain,
e10 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_2_63,refute_2_38]) ).
cnf(refute_2_65,plain,
( op1(e11,e13) != e10
| e10 = op1(e11,e13) ),
inference(subst,[],[refute_2_7:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e10))]]) ).
cnf(refute_2_66,plain,
op1(e11,e13) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e13)) )],[refute_2_65,refute_2_64]) ).
cnf(refute_2_67,plain,
( op1(e11,e13) = e11
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_2_37,refute_2_66]) ).
cnf(refute_2_68,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_2_23]) ).
cnf(refute_2_69,plain,
( op1(e11,e13) != e11
| op1(e12,e13) != e11
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_70,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_2_24,refute_2_69]) ).
cnf(refute_2_71,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_2_70,refute_2_68]) ).
cnf(refute_2_72,plain,
op1(e11,e13) = e13,
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_2_67,refute_2_71]) ).
cnf(refute_2_73,plain,
( e13 != e13
| op1(e11,e13) != e13
| e13 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_2_74,plain,
( e13 != e13
| e13 = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_2_72,refute_2_73]) ).
cnf(refute_2_75,plain,
( e13 != e13
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(e13,op1(e11,e13)) )],[refute_2_74,refute_2_31]) ).
cnf(refute_2_76,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_2_77,plain,
op1(e10,e13) = e10,
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_2_76,refute_2_75]) ).
cnf(refute_2_78,plain,
( e10 != e10
| op1(e10,e13) != e10
| op1(e10,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[0,0],$fot(e10)]]) ).
cnf(refute_2_79,plain,
( e10 != e10
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_2_77,refute_2_78]) ).
cnf(refute_2_80,plain,
( e10 != e10
| op1(e11,e11) = e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_2_79,refute_2_0]) ).
cnf(refute_2_81,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[0],$fot(e10)]]) ).
cnf(refute_2_82,plain,
( op1(e11,e11) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_2_61,refute_2_81]) ).
cnf(refute_2_83,plain,
( e10 != e10
| e10 = e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_2_80,refute_2_82]) ).
cnf(refute_2_84,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(canonicalize,[],[normalize_2_25]) ).
cnf(refute_2_85,plain,
op1(e13,e12) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_26]) ).
cnf(refute_2_86,plain,
( op1(e13,e12) != e12
| op1(e13,e13) != e12
| op1(e13,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e12),op1(e13,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_2_87,plain,
( op1(e13,e12) != e12
| op1(e13,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_2_9,refute_2_86]) ).
cnf(refute_2_88,plain,
op1(e13,e12) != e12,
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e13,e13)) )],[refute_2_87,refute_2_85]) ).
cnf(refute_2_89,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e12) )],[refute_2_84,refute_2_88]) ).
cnf(refute_2_90,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_2_27]) ).
cnf(refute_2_91,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(canonicalize,[],[normalize_2_30]) ).
cnf(refute_2_92,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[0],$fot(e12)]]) ).
cnf(refute_2_93,plain,
( op1(e13,e13) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_2_9,refute_2_92]) ).
cnf(refute_2_94,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_91,refute_2_93]) ).
cnf(refute_2_95,plain,
e11 != e12,
inference(canonicalize,[],[normalize_2_31]) ).
cnf(refute_2_96,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_2_7:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_2_97,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_2_96,refute_2_95]) ).
cnf(refute_2_98,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_2_94,refute_2_97]) ).
cnf(refute_2_99,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_2_32]) ).
cnf(refute_2_100,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_101,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_2_24,refute_2_100]) ).
cnf(refute_2_102,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_2_101,refute_2_99]) ).
cnf(refute_2_103,plain,
op1(e10,e10) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_2_98,refute_2_102]) ).
cnf(refute_2_104,plain,
( op1(e10,e10) != e11
| op1(e10,e10) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[0],$fot(e11)]]) ).
cnf(refute_2_105,plain,
( op1(e10,e10) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_103,refute_2_104]) ).
cnf(refute_2_106,plain,
( e11 = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_2_90,refute_2_105]) ).
cnf(refute_2_107,plain,
e11 != e13,
inference(canonicalize,[],[normalize_2_33]) ).
cnf(refute_2_108,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_2_106,refute_2_107]) ).
cnf(refute_2_109,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_2_110,plain,
( op1(e10,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_2_77,refute_2_109]) ).
cnf(refute_2_111,plain,
( e10 = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_2_108,refute_2_110]) ).
cnf(refute_2_112,plain,
e10 != e13,
inference(canonicalize,[],[normalize_2_34]) ).
cnf(refute_2_113,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_2_111,refute_2_112]) ).
cnf(refute_2_114,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_2_43]) ).
cnf(refute_2_115,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_2_45]) ).
cnf(refute_2_116,plain,
e21 = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_2_47]) ).
cnf(refute_2_117,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = e21 ),
inference(subst,[],[refute_2_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(op2(e23,e23),e23)))]]) ).
cnf(refute_2_118,plain,
op2(op2(e23,e23),e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_2_116,refute_2_117]) ).
cnf(refute_2_119,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_2_120,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),e21) )],[refute_2_118,refute_2_119]) ).
cnf(refute_2_121,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),e23)) )],[refute_2_115,refute_2_120]) ).
cnf(refute_2_122,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_2_123,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_124,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_2_122,refute_2_123]) ).
cnf(refute_2_125,plain,
op2(e20,h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_2_121,refute_2_124]) ).
cnf(refute_2_126,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_2_48]) ).
cnf(refute_2_127,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_2_49]) ).
cnf(refute_2_128,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_2_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_2_129,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_2_127,refute_2_128]) ).
cnf(refute_2_130,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_2_131,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_2_129,refute_2_130]) ).
cnf(refute_2_132,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_2_126,refute_2_131]) ).
cnf(refute_2_133,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_2_134,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_135,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_2_133,refute_2_134]) ).
cnf(refute_2_136,plain,
op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_132,refute_2_135]) ).
cnf(refute_2_137,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_2_138,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_2_7,refute_2_137]) ).
cnf(refute_2_139,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_2_138:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_2_140,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_2_136,refute_2_139]) ).
cnf(refute_2_141,plain,
op2(h4(e10),h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_2_125,refute_2_140]) ).
cnf(refute_2_142,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_2_143,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_2_141,refute_2_142]) ).
cnf(refute_2_144,plain,
h4(op1(e10,e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_2_114,refute_2_143]) ).
cnf(refute_2_145,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_2_50]) ).
cnf(refute_2_146,plain,
h1(e12) = op2(e20,e20),
inference(canonicalize,[],[normalize_2_51]) ).
cnf(refute_2_147,plain,
( h1(e12) != op2(e20,e20)
| op2(e20,e20) = h1(e12) ),
inference(subst,[],[refute_2_7:[bind(X,$fot(h1(e12))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_2_148,plain,
op2(e20,e20) = h1(e12),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,e20)) )],[refute_2_146,refute_2_147]) ).
cnf(refute_2_149,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_2_150,plain,
( op2(e20,e20) != h1(e12)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e12))]]) ).
cnf(refute_2_151,plain,
( op2(e20,e20) != h1(e12)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e12)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_2_149,refute_2_150]) ).
cnf(refute_2_152,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e12)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_2_148,refute_2_151]) ).
cnf(refute_2_153,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) != op2(e20,h1(e12))
| h1(e10) = op2(e20,h1(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e20,h1(e12))) ),[0],$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_2_154,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| h1(e10) = op2(e20,h1(e12)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e12))) )],[refute_2_152,refute_2_153]) ).
cnf(refute_2_155,plain,
h1(e10) = op2(e20,h1(e12)),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,op2(e20,e20))) )],[refute_2_145,refute_2_154]) ).
cnf(refute_2_156,plain,
( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(canonicalize,[],[normalize_2_55]) ).
cnf(refute_2_157,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e12)
| h1(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e12))]]) ).
cnf(refute_2_158,plain,
( op2(e20,e20) != e21
| h1(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_2_148,refute_2_157]) ).
cnf(refute_2_159,plain,
( h1(e12) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_2_156,refute_2_158]) ).
cnf(refute_2_160,plain,
h3(e12) = op2(e22,e22),
inference(canonicalize,[],[normalize_2_56]) ).
cnf(refute_2_161,plain,
( h3(e12) != op2(e22,e22)
| op2(e22,e22) = h3(e12) ),
inference(subst,[],[refute_2_7:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_2_162,plain,
op2(e22,e22) = h3(e12),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e22)) )],[refute_2_160,refute_2_161]) ).
cnf(refute_2_163,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e12)
| h3(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e12))]]) ).
cnf(refute_2_164,plain,
( op2(e22,e22) != e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_2_162,refute_2_163]) ).
cnf(refute_2_165,plain,
( h1(e12) = e21
| h3(e12) = e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_2_159,refute_2_164]) ).
cnf(refute_2_166,plain,
e22 = op2(e23,e23),
inference(canonicalize,[],[normalize_2_57]) ).
cnf(refute_2_167,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_2_7:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_2_168,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_2_166,refute_2_167]) ).
cnf(refute_2_169,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[0],$fot(e22)]]) ).
cnf(refute_2_170,plain,
( op2(e23,e23) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_2_168,refute_2_169]) ).
cnf(refute_2_171,plain,
( e22 = e21
| h1(e12) = e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_165,refute_2_170]) ).
cnf(refute_2_172,plain,
e21 != e22,
inference(canonicalize,[],[normalize_2_59]) ).
cnf(refute_2_173,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_2_7:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_2_174,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_2_173,refute_2_172]) ).
cnf(refute_2_175,plain,
( h1(e12) = e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_2_171,refute_2_174]) ).
cnf(refute_2_176,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_2_61]) ).
cnf(refute_2_177,plain,
( h3(e12) != op2(e22,e23)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_2_178,plain,
( h3(e12) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_2_162,refute_2_177]) ).
cnf(refute_2_179,plain,
h3(e12) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_2_178,refute_2_176]) ).
cnf(refute_2_180,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_2_181,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_2_182,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_2_180,refute_2_181]) ).
cnf(refute_2_183,plain,
op2(op2(e23,e23),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_2_168,refute_2_182]) ).
cnf(refute_2_184,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_2_185,plain,
( e21 != op2(op2(e23,e23),e23)
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e22,e23)) )],[refute_2_183,refute_2_184]) ).
cnf(refute_2_186,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_2_116,refute_2_185]) ).
cnf(refute_2_187,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_2_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_2_188,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_2_186,refute_2_187]) ).
cnf(refute_2_189,plain,
( h3(e12) != e21
| op2(e22,e23) != e21
| h3(e12) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_2_190,plain,
( h3(e12) != e21
| h3(e12) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_2_188,refute_2_189]) ).
cnf(refute_2_191,plain,
h3(e12) != e21,
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e23)) )],[refute_2_190,refute_2_179]) ).
cnf(refute_2_192,plain,
h1(e12) = e21,
inference(resolve,[$cnf( $equal(h3(e12),e21) )],[refute_2_175,refute_2_191]) ).
cnf(refute_2_193,plain,
op2(e20,h1(e12)) = op2(e20,h1(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h1(e12)))]]) ).
cnf(refute_2_194,plain,
( h1(e12) != e21
| op2(e20,h1(e12)) != op2(e20,h1(e12))
| op2(e20,h1(e12)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e12)),op2(e20,h1(e12))) ),[1,1],$fot(e21)]]) ).
cnf(refute_2_195,plain,
( h1(e12) != e21
| op2(e20,h1(e12)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e12)),op2(e20,h1(e12))) )],[refute_2_193,refute_2_194]) ).
cnf(refute_2_196,plain,
op2(e20,h1(e12)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_2_192,refute_2_195]) ).
cnf(refute_2_197,plain,
( h1(e10) != op2(e20,h1(e12))
| op2(e20,h1(e12)) != op2(e20,e21)
| h1(e10) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e20,e21)) ),[0],$fot(op2(e20,h1(e12)))]]) ).
cnf(refute_2_198,plain,
( h1(e10) != op2(e20,h1(e12))
| h1(e10) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e12)),op2(e20,e21)) )],[refute_2_196,refute_2_197]) ).
cnf(refute_2_199,plain,
h1(e10) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e12))) )],[refute_2_155,refute_2_198]) ).
cnf(refute_2_200,plain,
( h1(e10) != op2(e20,e21)
| op2(e20,e21) = h1(e10) ),
inference(subst,[],[refute_2_7:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_2_201,plain,
op2(e20,e21) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e21)) )],[refute_2_199,refute_2_200]) ).
cnf(refute_2_202,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op2(e20,e21) != h1(e10)
| h4(op1(e10,e11)) = h1(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),h1(e10)) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_2_203,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e10)) )],[refute_2_201,refute_2_202]) ).
cnf(refute_2_204,plain,
h4(op1(e10,e11)) = h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_2_144,refute_2_203]) ).
cnf(refute_2_205,plain,
h4(op1(e10,e12)) != op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_2_62]) ).
cnf(refute_2_206,plain,
h4(e12) = op2(e23,e23),
inference(canonicalize,[],[normalize_2_63]) ).
cnf(refute_2_207,plain,
( h4(e12) != op2(e23,e23)
| op2(e23,e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_2_208,plain,
( h4(e12) != op2(e23,e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_2_168,refute_2_207]) ).
cnf(refute_2_209,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e23)) )],[refute_2_206,refute_2_208]) ).
cnf(refute_2_210,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_2_211,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_212,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_2_210,refute_2_211]) ).
cnf(refute_2_213,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_2_209,refute_2_212]) ).
cnf(refute_2_214,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_2_215,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_216,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_2_214,refute_2_215]) ).
cnf(refute_2_217,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_2_132,refute_2_216]) ).
cnf(refute_2_218,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_2_138:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_2_219,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_2_217,refute_2_218]) ).
cnf(refute_2_220,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_2_213,refute_2_219]) ).
cnf(refute_2_221,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_2_222,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_2_220,refute_2_221]) ).
cnf(refute_2_223,plain,
h4(op1(e10,e12)) != op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_2_222,refute_2_205]) ).
cnf(refute_2_224,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(canonicalize,[],[normalize_2_65]) ).
cnf(refute_2_225,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e12)
| h1(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e12))]]) ).
cnf(refute_2_226,plain,
( op2(e20,e20) != e22
| h1(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_2_148,refute_2_225]) ).
cnf(refute_2_227,plain,
( h1(e12) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_2_224,refute_2_226]) ).
cnf(refute_2_228,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_2_66]) ).
cnf(refute_2_229,plain,
( op2(e20,e23) != e22
| op2(e23,e23) != e22
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_2_230,plain,
( op2(e20,e23) != e22
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_2_168,refute_2_229]) ).
cnf(refute_2_231,plain,
op2(e20,e23) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_2_230,refute_2_228]) ).
cnf(refute_2_232,plain,
( h1(e12) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_2_227,refute_2_231]) ).
cnf(refute_2_233,plain,
( h1(e12) != e21
| h1(e12) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e22) ),[0],$fot(e21)]]) ).
cnf(refute_2_234,plain,
( h1(e12) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_2_192,refute_2_233]) ).
cnf(refute_2_235,plain,
( e21 = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(h1(e12),e22) )],[refute_2_232,refute_2_234]) ).
cnf(refute_2_236,plain,
( op2(e20,e21) != e22
| op2(e20,e21) != h1(e10)
| h1(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[0],$fot(h1(e10))]]) ).
cnf(refute_2_237,plain,
( op2(e20,e21) != e22
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e10)) )],[refute_2_201,refute_2_236]) ).
cnf(refute_2_238,plain,
( e21 = e22
| h1(e10) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_2_235,refute_2_237]) ).
cnf(refute_2_239,plain,
( h1(e10) = e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_2_238,refute_2_172]) ).
cnf(refute_2_240,plain,
( h4(op1(e10,e12)) != e22
| op2(e20,e22) != e22
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_2_241,plain,
( h4(op1(e10,e12)) != e22
| h1(e10) = e22
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_2_239,refute_2_240]) ).
cnf(refute_2_242,plain,
( h4(op1(e10,e12)) != e22
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_2_241,refute_2_223]) ).
cnf(refute_2_243,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(canonicalize,[],[normalize_2_67]) ).
cnf(refute_2_244,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_2_243,refute_2_12]) ).
cnf(refute_2_245,plain,
( op1(e10,e10) != e11
| op1(e10,e10) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[0],$fot(e11)]]) ).
cnf(refute_2_246,plain,
( op1(e10,e10) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_103,refute_2_245]) ).
cnf(refute_2_247,plain,
( e11 = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_2_244,refute_2_246]) ).
cnf(refute_2_248,plain,
( op1(e10,e11) = e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_2_247,refute_2_95]) ).
cnf(refute_2_249,plain,
( h4(e12) != e22
| op1(e10,e12) != e12
| h4(op1(e10,e12)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),e22) ),[0,0],$fot(e12)]]) ).
cnf(refute_2_250,plain,
( h4(e12) != e22
| h4(op1(e10,e12)) = e22
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_248,refute_2_249]) ).
cnf(refute_2_251,plain,
( h4(e12) != e22
| h1(e10) = e22
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e22) )],[refute_2_250,refute_2_242]) ).
cnf(refute_2_252,plain,
( e22 != e22
| h4(e12) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[1],$fot(e22)]]) ).
cnf(refute_2_253,plain,
( e22 != e22
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_2_209,refute_2_252]) ).
cnf(refute_2_254,plain,
( e22 != e22
| h1(e10) = e22
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_2_253,refute_2_251]) ).
cnf(refute_2_255,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_2_256,plain,
( h1(e10) = e22
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_2_255,refute_2_254]) ).
cnf(refute_2_257,plain,
( h4(op1(e10,e11)) != h1(e10)
| op1(e10,e11) != e12
| h4(e12) = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h1(e10)) ),[0,0],$fot(e12)]]) ).
cnf(refute_2_258,plain,
( h4(op1(e10,e11)) != h1(e10)
| h1(e10) = e22
| h4(e12) = h1(e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_2_256,refute_2_257]) ).
cnf(refute_2_259,plain,
( h1(e10) = e22
| h4(e12) = h1(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h1(e10)) )],[refute_2_204,refute_2_258]) ).
cnf(refute_2_260,plain,
( h4(e12) != e22
| h4(e12) != h1(e10)
| e22 = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h1(e10)) ),[0],$fot(e22)]]) ).
cnf(refute_2_261,plain,
( h4(e12) != h1(e10)
| e22 = h1(e10) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_2_209,refute_2_260]) ).
cnf(refute_2_262,plain,
( e22 = h1(e10)
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(h4(e12),h1(e10)) )],[refute_2_259,refute_2_261]) ).
cnf(refute_2_263,plain,
( h1(e10) != e22
| e22 = h1(e10) ),
inference(subst,[],[refute_2_7:[bind(X,$fot(h1(e10))),bind(Y,$fot(e22))]]) ).
cnf(refute_2_264,plain,
e22 = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_2_262,refute_2_263]) ).
cnf(refute_2_265,plain,
( e22 != h1(e10)
| h1(e10) = e22 ),
inference(subst,[],[refute_2_7:[bind(X,$fot(e22)),bind(Y,$fot(h1(e10)))]]) ).
cnf(refute_2_266,plain,
h1(e10) = e22,
inference(resolve,[$cnf( $equal(e22,h1(e10)) )],[refute_2_264,refute_2_265]) ).
cnf(refute_2_267,plain,
( h1(e10) != e22
| h4(op1(e10,e11)) != h1(e10)
| h4(op1(e10,e11)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h1(e10)) ),[1],$fot(e22)]]) ).
cnf(refute_2_268,plain,
( h4(op1(e10,e11)) != h1(e10)
| h4(op1(e10,e11)) = e22 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_2_266,refute_2_267]) ).
cnf(refute_2_269,plain,
h4(op1(e10,e11)) = e22,
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h1(e10)) )],[refute_2_204,refute_2_268]) ).
cnf(refute_2_270,plain,
( op1(e10,e12) != e12
| op1(e10,e12) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e13) ),[0],$fot(e12)]]) ).
cnf(refute_2_271,plain,
( op1(e10,e12) != e13
| e12 = e13
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_248,refute_2_270]) ).
cnf(refute_2_272,plain,
( e12 = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_2_113,refute_2_271]) ).
cnf(refute_2_273,plain,
e12 != e13,
inference(canonicalize,[],[normalize_2_68]) ).
cnf(refute_2_274,plain,
( op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_2_272,refute_2_273]) ).
cnf(refute_2_275,plain,
( h4(op1(e10,e11)) != e22
| op1(e10,e11) != e13
| h4(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),e22) ),[0,0],$fot(e13)]]) ).
cnf(refute_2_276,plain,
( h4(op1(e10,e11)) != e22
| h4(e13) = e22
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_2_274,refute_2_275]) ).
cnf(refute_2_277,plain,
( h4(e13) = e22
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e22) )],[refute_2_269,refute_2_276]) ).
cnf(refute_2_278,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_2_69]) ).
cnf(refute_2_279,plain,
( h4(e13) != e22
| h4(e13) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e22) ),[0],$fot(e23)]]) ).
cnf(refute_2_280,plain,
( h4(e13) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_2_278,refute_2_279]) ).
cnf(refute_2_281,plain,
( e23 = e22
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(e13),e22) )],[refute_2_277,refute_2_280]) ).
cnf(refute_2_282,plain,
e22 != e23,
inference(canonicalize,[],[normalize_2_70]) ).
cnf(refute_2_283,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_2_7:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_2_284,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_2_283,refute_2_282]) ).
cnf(refute_2_285,plain,
op1(e10,e11) = e12,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_281,refute_2_284]) ).
cnf(refute_2_286,plain,
( op1(e10,e11) != e12
| op1(e10,e11) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[0],$fot(e12)]]) ).
cnf(refute_2_287,plain,
( op1(e10,e11) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_2_285,refute_2_286]) ).
cnf(refute_2_288,plain,
( e12 = e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_2_113,refute_2_287]) ).
cnf(refute_2_289,plain,
op1(e10,e12) = e13,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_2_288,refute_2_273]) ).
cnf(refute_2_290,plain,
( op1(e10,e12) != e12
| op1(e10,e12) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[0],$fot(e13)]]) ).
cnf(refute_2_291,plain,
( op1(e10,e12) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_2_289,refute_2_290]) ).
cnf(refute_2_292,plain,
( e13 = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_89,refute_2_291]) ).
cnf(refute_2_293,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(canonicalize,[],[normalize_2_71]) ).
cnf(refute_2_294,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e11) ),[0],$fot(e10)]]) ).
cnf(refute_2_295,plain,
( op1(e13,e12) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_2_57,refute_2_294]) ).
cnf(refute_2_296,plain,
( e10 = e11
| op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_2_293,refute_2_295]) ).
cnf(refute_2_297,plain,
e10 != e11,
inference(canonicalize,[],[normalize_2_72]) ).
cnf(refute_2_298,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_2_296,refute_2_297]) ).
cnf(refute_2_299,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_2_73]) ).
cnf(refute_2_300,plain,
( e11 != op1(e10,e12)
| op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_2_301,plain,
( e11 != op1(e10,e12)
| op1(e10,e10) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_2_103,refute_2_300]) ).
cnf(refute_2_302,plain,
e11 != op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_2_301,refute_2_299]) ).
cnf(refute_2_303,plain,
( op1(e10,e12) != e11
| e11 = op1(e10,e12) ),
inference(subst,[],[refute_2_7:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(e11))]]) ).
cnf(refute_2_304,plain,
op1(e10,e12) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e12)) )],[refute_2_303,refute_2_302]) ).
cnf(refute_2_305,plain,
( op1(e11,e12) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_298,refute_2_304]) ).
cnf(refute_2_306,plain,
op1(e11,e12) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_2_305,refute_2_102]) ).
cnf(refute_2_307,plain,
( op1(e11,e12) != e11
| op1(e11,e12) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e12) ),[0],$fot(e11)]]) ).
cnf(refute_2_308,plain,
( op1(e11,e12) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_2_306,refute_2_307]) ).
cnf(refute_2_309,plain,
( e11 = e12
| e13 = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_2_292,refute_2_308]) ).
cnf(refute_2_310,plain,
( e13 = e12
| op1(e12,e12) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_2_309,refute_2_95]) ).
cnf(refute_2_311,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_2_7:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_2_312,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_2_311,refute_2_273]) ).
cnf(refute_2_313,plain,
op1(e12,e12) = e12,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_2_310,refute_2_312]) ).
cnf(refute_2_314,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[0],$fot(e12)]]) ).
cnf(refute_2_315,plain,
( op1(e12,e12) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_2_313,refute_2_314]) ).
cnf(refute_2_316,plain,
( e10 != e10
| e10 = e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_83,refute_2_315]) ).
cnf(refute_2_317,plain,
e10 = e10,
introduced(tautology,[refl,[$fot(e10)]]) ).
cnf(refute_2_318,plain,
( e10 = e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(e10,e10) )],[refute_2_317,refute_2_316]) ).
cnf(refute_2_319,plain,
e12 = e13,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_2_318,refute_2_112]) ).
cnf(refute_2_320,plain,
$false,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_2_319,refute_2_273]) ).
fof(negate_3_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) )
=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_3_0]) ).
fof(normalize_3_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = op2(e20,e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_3_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_3_1]) ).
fof(normalize_3_3,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = op2(e21,e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_3_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_3_3]) ).
fof(normalize_3_5,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_3_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_3_5]) ).
fof(normalize_3_7,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_3_0,normalize_3_2,normalize_3_4,normalize_3_6]) ).
fof(normalize_3_8,plain,
h4(op1(e10,e13)) != op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_3_7]) ).
fof(normalize_3_9,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_3_10,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_11,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_3_9]) ).
fof(normalize_3_12,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_3_13,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_3_12]) ).
fof(normalize_3_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_3_15,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_3_14]) ).
fof(normalize_3_16,plain,
e22 = op2(e23,e23),
inference(conjunct,[],[normalize_3_12]) ).
fof(normalize_3_17,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_3_18,plain,
e20 != e22,
inference(conjunct,[],[normalize_3_17]) ).
fof(normalize_3_19,plain,
e21 = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_3_12]) ).
fof(normalize_3_20,plain,
e20 != e21,
inference(conjunct,[],[normalize_3_17]) ).
fof(normalize_3_21,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_22,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_3_21]) ).
fof(normalize_3_23,plain,
h2(e12) = op2(e21,e21),
inference(conjunct,[],[normalize_3_3]) ).
fof(normalize_3_24,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22 ) )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_3_25,plain,
( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ),
inference(conjunct,[],[normalize_3_24]) ).
fof(normalize_3_26,plain,
( ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e20) != e23 )
& ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e23) = e20 )
& ( op2(e21,e20) != e21
| op2(e23,e20) != e23
| op2(e22,e22) = e20 )
& ( op2(e21,e20) != e21
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e20) != e22
| op2(e23,e20) != e23
| op2(e21,e21) = e20 )
& ( op2(e22,e20) != e22
| op2(e21,e21) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) != e23
| op2(e21,e21) = e20
| op2(e22,e22) = e20 )
& ( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ) ),
inference(clausify,[],[normalize_3_25]) ).
fof(normalize_3_27,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_3_26]) ).
fof(normalize_3_28,plain,
h3(e12) = op2(e22,e22),
inference(conjunct,[],[normalize_3_5]) ).
fof(normalize_3_29,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_3_21]) ).
fof(normalize_3_30,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_31,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(conjunct,[],[normalize_3_30]) ).
fof(normalize_3_32,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12 ) )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_3_33,plain,
( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) ),
inference(conjunct,[],[normalize_3_32]) ).
fof(normalize_3_34,plain,
( ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e11) != e13 )
& ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e13) = e11 )
& ( op1(e10,e11) != e10
| op1(e13,e11) != e13
| op1(e12,e12) = e11 )
& ( op1(e10,e11) != e10
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e11) != e12
| op1(e13,e11) != e13
| op1(e10,e10) = e11 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e12,e12) = e11 )
& ( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ) ),
inference(clausify,[],[normalize_3_33]) ).
fof(normalize_3_35,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(conjunct,[],[normalize_3_34]) ).
fof(normalize_3_36,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_3_37,plain,
e12 = op1(e13,e13),
inference(conjunct,[],[normalize_3_36]) ).
fof(normalize_3_38,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_3_39,plain,
e11 != e12,
inference(conjunct,[],[normalize_3_38]) ).
fof(normalize_3_40,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_3_41,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_3_40]) ).
fof(normalize_3_42,plain,
e11 = op1(op1(e13,e13),e13),
inference(conjunct,[],[normalize_3_36]) ).
fof(normalize_3_43,plain,
e10 != e11,
inference(conjunct,[],[normalize_3_38]) ).
fof(normalize_3_44,plain,
( op1(e10,e11) != e10
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(conjunct,[],[normalize_3_34]) ).
fof(normalize_3_45,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_3_40]) ).
fof(normalize_3_46,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_3_36]) ).
cnf(refute_3_0,plain,
h4(op1(e10,e13)) != op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_3_8]) ).
cnf(refute_3_1,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_3_10]) ).
cnf(refute_3_2,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_3_3,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_4,plain,
( h4(e13) != e23
| op2(e20,h4(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_3_2,refute_3_3]) ).
cnf(refute_3_5,plain,
op2(e20,h4(e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_3_1,refute_3_4]) ).
cnf(refute_3_6,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_3_11]) ).
cnf(refute_3_7,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_3_13]) ).
cnf(refute_3_8,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_3_9,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_3_10,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_3_8,refute_3_9]) ).
cnf(refute_3_11,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_3_10:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_3_12,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_3_7,refute_3_11]) ).
cnf(refute_3_13,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_3_14,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_3_12,refute_3_13]) ).
cnf(refute_3_15,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_3_6,refute_3_14]) ).
cnf(refute_3_16,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_3_17,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_18,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_3_16,refute_3_17]) ).
cnf(refute_3_19,plain,
op2(h4(e10),h4(e13)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_3_15,refute_3_18]) ).
cnf(refute_3_20,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_3_21,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_3_10,refute_3_20]) ).
cnf(refute_3_22,plain,
( op2(e20,h4(e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) != op2(e20,h4(e13))
| op2(h4(e10),h4(e13)) = op2(e20,e23) ),
inference(subst,[],[refute_3_21:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_3_23,plain,
( op2(e20,h4(e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,h4(e13))) )],[refute_3_19,refute_3_22]) ).
cnf(refute_3_24,plain,
op2(h4(e10),h4(e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e23)) )],[refute_3_5,refute_3_23]) ).
cnf(refute_3_25,plain,
( h4(op1(e10,e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) != op2(e20,e23)
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_3_26,plain,
( h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,e23)) )],[refute_3_24,refute_3_25]) ).
cnf(refute_3_27,plain,
h4(op1(e10,e13)) != op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_3_26,refute_3_0]) ).
cnf(refute_3_28,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_3_15]) ).
cnf(refute_3_29,plain,
e22 = op2(e23,e23),
inference(canonicalize,[],[normalize_3_16]) ).
cnf(refute_3_30,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_3_10:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_3_31,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_3_29,refute_3_30]) ).
cnf(refute_3_32,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_3_33,plain,
( op2(e23,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_3_31,refute_3_32]) ).
cnf(refute_3_34,plain,
( e22 = e20
| op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_3_28,refute_3_33]) ).
cnf(refute_3_35,plain,
e20 != e22,
inference(canonicalize,[],[normalize_3_18]) ).
cnf(refute_3_36,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_3_10:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_3_37,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_3_36,refute_3_35]) ).
cnf(refute_3_38,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_3_34,refute_3_37]) ).
cnf(refute_3_39,plain,
e21 = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_3_19]) ).
cnf(refute_3_40,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_3_41,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_3_42,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_3_40,refute_3_41]) ).
cnf(refute_3_43,plain,
op2(op2(e23,e23),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_3_31,refute_3_42]) ).
cnf(refute_3_44,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_3_45,plain,
( e21 != op2(op2(e23,e23),e23)
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e22,e23)) )],[refute_3_43,refute_3_44]) ).
cnf(refute_3_46,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_3_39,refute_3_45]) ).
cnf(refute_3_47,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_3_10:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_3_48,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_3_46,refute_3_47]) ).
cnf(refute_3_49,plain,
( op2(e22,e23) != e20
| op2(e22,e23) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e20) ),[0],$fot(e21)]]) ).
cnf(refute_3_50,plain,
( op2(e22,e23) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_3_48,refute_3_49]) ).
cnf(refute_3_51,plain,
( e21 = e20
| op2(e20,e23) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_3_38,refute_3_50]) ).
cnf(refute_3_52,plain,
e20 != e21,
inference(canonicalize,[],[normalize_3_20]) ).
cnf(refute_3_53,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_3_10:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_3_54,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_3_53,refute_3_52]) ).
cnf(refute_3_55,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_3_51,refute_3_54]) ).
cnf(refute_3_56,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_3_22]) ).
cnf(refute_3_57,plain,
h2(e12) = op2(e21,e21),
inference(canonicalize,[],[normalize_3_23]) ).
cnf(refute_3_58,plain,
( h2(e12) != op2(e21,e21)
| op2(e21,e21) = h2(e12) ),
inference(subst,[],[refute_3_10:[bind(X,$fot(h2(e12))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_3_59,plain,
op2(e21,e21) = h2(e12),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e21)) )],[refute_3_57,refute_3_58]) ).
cnf(refute_3_60,plain,
( h2(e12) != op2(e21,e23)
| op2(e21,e21) != h2(e12)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e12)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_3_61,plain,
( h2(e12) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_3_59,refute_3_60]) ).
cnf(refute_3_62,plain,
h2(e12) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_3_61,refute_3_56]) ).
cnf(refute_3_63,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_3_27]) ).
cnf(refute_3_64,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e12)
| h2(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e12))]]) ).
cnf(refute_3_65,plain,
( op2(e21,e21) != e20
| h2(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_3_59,refute_3_64]) ).
cnf(refute_3_66,plain,
( h2(e12) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_3_63,refute_3_65]) ).
cnf(refute_3_67,plain,
h3(e12) = op2(e22,e22),
inference(canonicalize,[],[normalize_3_28]) ).
cnf(refute_3_68,plain,
( h3(e12) != op2(e22,e22)
| op2(e22,e22) = h3(e12) ),
inference(subst,[],[refute_3_10:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_3_69,plain,
op2(e22,e22) = h3(e12),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e22)) )],[refute_3_67,refute_3_68]) ).
cnf(refute_3_70,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e12)
| h3(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e12))]]) ).
cnf(refute_3_71,plain,
( op2(e22,e22) != e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_3_69,refute_3_70]) ).
cnf(refute_3_72,plain,
( h2(e12) = e20
| h3(e12) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_3_66,refute_3_71]) ).
cnf(refute_3_73,plain,
( e22 = e20
| h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_3_72,refute_3_33]) ).
cnf(refute_3_74,plain,
( h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_3_73,refute_3_37]) ).
cnf(refute_3_75,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_3_29]) ).
cnf(refute_3_76,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_3_77,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_3_69,refute_3_76]) ).
cnf(refute_3_78,plain,
h3(e12) != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_3_77,refute_3_75]) ).
cnf(refute_3_79,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_3_80,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_3_81,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_3_79,refute_3_80]) ).
cnf(refute_3_82,plain,
op2(e23,op2(e23,e23)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_3_31,refute_3_81]) ).
cnf(refute_3_83,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_3_84,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e22)) )],[refute_3_82,refute_3_83]) ).
cnf(refute_3_85,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_3_7,refute_3_84]) ).
cnf(refute_3_86,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_3_10:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_3_87,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_3_85,refute_3_86]) ).
cnf(refute_3_88,plain,
( h3(e12) != e20
| op2(e23,e22) != e20
| h3(e12) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_3_89,plain,
( h3(e12) != e20
| h3(e12) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_3_87,refute_3_88]) ).
cnf(refute_3_90,plain,
h3(e12) != e20,
inference(resolve,[$cnf( $equal(h3(e12),op2(e23,e22)) )],[refute_3_89,refute_3_78]) ).
cnf(refute_3_91,plain,
h2(e12) = e20,
inference(resolve,[$cnf( $equal(h3(e12),e20) )],[refute_3_74,refute_3_90]) ).
cnf(refute_3_92,plain,
( e20 != op2(e21,e23)
| h2(e12) != e20
| h2(e12) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e20) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_3_93,plain,
( e20 != op2(e21,e23)
| h2(e12) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_3_91,refute_3_92]) ).
cnf(refute_3_94,plain,
e20 != op2(e21,e23),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e23)) )],[refute_3_93,refute_3_62]) ).
cnf(refute_3_95,plain,
( op2(e21,e23) != e20
| e20 = op2(e21,e23) ),
inference(subst,[],[refute_3_10:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e20))]]) ).
cnf(refute_3_96,plain,
op2(e21,e23) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e23)) )],[refute_3_95,refute_3_94]) ).
cnf(refute_3_97,plain,
op2(e20,e23) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_3_55,refute_3_96]) ).
cnf(refute_3_98,plain,
( h4(op1(e10,e13)) != e20
| op2(e20,e23) != e20
| h4(op1(e10,e13)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_3_99,plain,
( h4(op1(e10,e13)) != e20
| h4(op1(e10,e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_3_97,refute_3_98]) ).
cnf(refute_3_100,plain,
h4(op1(e10,e13)) != e20,
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) )],[refute_3_99,refute_3_27]) ).
cnf(refute_3_101,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(canonicalize,[],[normalize_3_31]) ).
cnf(refute_3_102,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(canonicalize,[],[normalize_3_35]) ).
cnf(refute_3_103,plain,
e12 = op1(e13,e13),
inference(canonicalize,[],[normalize_3_37]) ).
cnf(refute_3_104,plain,
( e12 != op1(e13,e13)
| op1(e13,e13) = e12 ),
inference(subst,[],[refute_3_10:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_3_105,plain,
op1(e13,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_3_103,refute_3_104]) ).
cnf(refute_3_106,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[0],$fot(e12)]]) ).
cnf(refute_3_107,plain,
( op1(e13,e13) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_3_105,refute_3_106]) ).
cnf(refute_3_108,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_102,refute_3_107]) ).
cnf(refute_3_109,plain,
e11 != e12,
inference(canonicalize,[],[normalize_3_39]) ).
cnf(refute_3_110,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_3_10:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_3_111,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_3_110,refute_3_109]) ).
cnf(refute_3_112,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_3_108,refute_3_111]) ).
cnf(refute_3_113,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_3_41]) ).
cnf(refute_3_114,plain,
e11 = op1(op1(e13,e13),e13),
inference(canonicalize,[],[normalize_3_42]) ).
cnf(refute_3_115,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_3_116,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(e12)]]) ).
cnf(refute_3_117,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_3_115,refute_3_116]) ).
cnf(refute_3_118,plain,
op1(op1(e13,e13),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_3_105,refute_3_117]) ).
cnf(refute_3_119,plain,
( e11 != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_3_120,plain,
( e11 != op1(op1(e13,e13),e13)
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e12,e13)) )],[refute_3_118,refute_3_119]) ).
cnf(refute_3_121,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),e13)) )],[refute_3_114,refute_3_120]) ).
cnf(refute_3_122,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_3_10:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_3_123,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_3_121,refute_3_122]) ).
cnf(refute_3_124,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_3_125,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_3_123,refute_3_124]) ).
cnf(refute_3_126,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_3_125,refute_3_113]) ).
cnf(refute_3_127,plain,
op1(e10,e10) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_3_112,refute_3_126]) ).
cnf(refute_3_128,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0],$fot(e11)]]) ).
cnf(refute_3_129,plain,
( op1(e10,e10) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_3_127,refute_3_128]) ).
cnf(refute_3_130,plain,
( e11 = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_3_101,refute_3_129]) ).
cnf(refute_3_131,plain,
e10 != e11,
inference(canonicalize,[],[normalize_3_43]) ).
cnf(refute_3_132,plain,
( e11 != e10
| e10 = e11 ),
inference(subst,[],[refute_3_10:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).
cnf(refute_3_133,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_3_132,refute_3_131]) ).
cnf(refute_3_134,plain,
( op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_3_130,refute_3_133]) ).
cnf(refute_3_135,plain,
( op1(e10,e11) != e10
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(canonicalize,[],[normalize_3_44]) ).
cnf(refute_3_136,plain,
( op1(e10,e11) != e10
| e12 = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_135,refute_3_107]) ).
cnf(refute_3_137,plain,
( op1(e10,e11) != e10
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_3_136,refute_3_111]) ).
cnf(refute_3_138,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_3_137,refute_3_126]) ).
cnf(refute_3_139,plain,
( op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_3_134,refute_3_138]) ).
cnf(refute_3_140,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_3_45]) ).
cnf(refute_3_141,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_3_46]) ).
cnf(refute_3_142,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_3_143,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_3_144,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_3_142,refute_3_143]) ).
cnf(refute_3_145,plain,
op1(e13,op1(e13,e13)) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_3_105,refute_3_144]) ).
cnf(refute_3_146,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_3_147,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e12)) )],[refute_3_145,refute_3_146]) ).
cnf(refute_3_148,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_3_141,refute_3_147]) ).
cnf(refute_3_149,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_3_10:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_3_150,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_3_148,refute_3_149]) ).
cnf(refute_3_151,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_3_152,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_3_150,refute_3_151]) ).
cnf(refute_3_153,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_3_152,refute_3_140]) ).
cnf(refute_3_154,plain,
op1(e10,e13) = e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_3_139,refute_3_153]) ).
cnf(refute_3_155,plain,
h4(op1(e10,e13)) = h4(op1(e10,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_3_156,plain,
( h4(op1(e10,e13)) != h4(op1(e10,e13))
| op1(e10,e13) != e10
| h4(op1(e10,e13)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_3_157,plain,
( op1(e10,e13) != e10
| h4(op1(e10,e13)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) )],[refute_3_155,refute_3_156]) ).
cnf(refute_3_158,plain,
h4(op1(e10,e13)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_3_154,refute_3_157]) ).
cnf(refute_3_159,plain,
( h4(e10) != e20
| h4(op1(e10,e13)) != h4(e10)
| h4(op1(e10,e13)) = e20 ),
inference(subst,[],[refute_3_21:[bind(X,$fot(h4(op1(e10,e13)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_3_160,plain,
( h4(e10) != e20
| h4(op1(e10,e13)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(e10)) )],[refute_3_158,refute_3_159]) ).
cnf(refute_3_161,plain,
h4(op1(e10,e13)) = e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_3_15,refute_3_160]) ).
cnf(refute_3_162,plain,
( e20 != e20
| h4(op1(e10,e13)) != e20
| h4(op1(e10,e13)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),e20) ),[1],$fot(e20)]]) ).
cnf(refute_3_163,plain,
( e20 != e20
| h4(op1(e10,e13)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e20) )],[refute_3_161,refute_3_162]) ).
cnf(refute_3_164,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e20) )],[refute_3_163,refute_3_100]) ).
cnf(refute_3_165,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_3_166,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_3_165,refute_3_164]) ).
fof(negate_4_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) )
=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_4_1,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_2,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = op2(e20,e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_4_3,plain,
h1(e12) = op2(e20,e20),
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_4,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_4_5,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_6,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_4_7,plain,
e22 = op2(e23,e23),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_8,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22 ) )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_4_9,plain,
( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) ),
inference(conjunct,[],[normalize_4_8]) ).
fof(normalize_4_10,plain,
( ( op2(e20,e21) != e20
| op2(e22,e21) != e22
| op2(e23,e21) != e23 )
& ( op2(e20,e21) != e20
| op2(e22,e21) != e22
| op2(e23,e23) = e21 )
& ( op2(e20,e21) != e20
| op2(e23,e21) != e23
| op2(e22,e22) = e21 )
& ( op2(e20,e21) != e20
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e21) != e22
| op2(e23,e21) != e23
| op2(e20,e20) = e21 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e22,e22) = e21 )
& ( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ) ),
inference(clausify,[],[normalize_4_9]) ).
fof(normalize_4_11,plain,
( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_12,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_4_13,plain,
h3(e12) = op2(e22,e22),
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_14,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_4_15,plain,
e21 != e22,
inference(conjunct,[],[normalize_4_14]) ).
fof(normalize_4_16,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_17,plain,
e21 = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_18,plain,
h1(e11) = op2(op2(e20,e20),e20),
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_19,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(conjunct,[],[normalize_4_0]) ).
fof(normalize_4_20,plain,
e20 != e21,
inference(conjunct,[],[normalize_4_14]) ).
fof(normalize_4_21,plain,
op2(e21,e20) != op2(e21,e21),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_22,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = op2(e21,e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_4_23,plain,
h2(e12) = op2(e21,e21),
inference(conjunct,[],[normalize_4_22]) ).
fof(normalize_4_24,plain,
( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ),
inference(conjunct,[],[normalize_4_8]) ).
fof(normalize_4_25,plain,
( ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e20) != e23 )
& ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e23) = e20 )
& ( op2(e21,e20) != e21
| op2(e23,e20) != e23
| op2(e22,e22) = e20 )
& ( op2(e21,e20) != e21
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e20) != e22
| op2(e23,e20) != e23
| op2(e21,e21) = e20 )
& ( op2(e22,e20) != e22
| op2(e21,e21) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) != e23
| op2(e21,e21) = e20
| op2(e22,e22) = e20 )
& ( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ) ),
inference(clausify,[],[normalize_4_24]) ).
fof(normalize_4_26,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_4_25]) ).
fof(normalize_4_27,plain,
e20 != e22,
inference(conjunct,[],[normalize_4_14]) ).
fof(normalize_4_28,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_29,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_4_6]) ).
fof(normalize_4_30,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_31,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_32,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_4_2]) ).
fof(normalize_4_33,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_4_22]) ).
fof(normalize_4_34,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_4_12]) ).
fof(normalize_4_35,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_31,normalize_4_32,normalize_4_33,normalize_4_34]) ).
fof(normalize_4_36,plain,
h4(op1(e11,e10)) != op2(h4(e11),h4(e10)),
inference(conjunct,[],[normalize_4_35]) ).
fof(normalize_4_37,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_4_38,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_4_37]) ).
fof(normalize_4_39,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_4_37]) ).
fof(normalize_4_40,plain,
h4(e12) = op2(e23,e23),
inference(conjunct,[],[normalize_4_37]) ).
fof(normalize_4_41,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_4_42,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_4_41]) ).
fof(normalize_4_43,plain,
op1(e12,e10) != op1(e12,e11),
inference(conjunct,[],[normalize_4_41]) ).
fof(normalize_4_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_4_45,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(conjunct,[],[normalize_4_44]) ).
fof(normalize_4_46,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_4_41]) ).
fof(normalize_4_47,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_4_48,plain,
e12 = op1(e13,e13),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_49,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12 ) )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_4_50,plain,
( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) ),
inference(conjunct,[],[normalize_4_49]) ).
fof(normalize_4_51,plain,
( ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e11) != e13 )
& ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e13) = e11 )
& ( op1(e10,e11) != e10
| op1(e13,e11) != e13
| op1(e12,e12) = e11 )
& ( op1(e10,e11) != e10
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e11) != e12
| op1(e13,e11) != e13
| op1(e10,e10) = e11 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e12,e12) = e11 )
& ( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ) ),
inference(clausify,[],[normalize_4_50]) ).
fof(normalize_4_52,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(conjunct,[],[normalize_4_51]) ).
fof(normalize_4_53,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_4_54,plain,
e11 != e12,
inference(conjunct,[],[normalize_4_53]) ).
fof(normalize_4_55,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_4_41]) ).
fof(normalize_4_56,plain,
e11 = op1(op1(e13,e13),e13),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_57,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_4_58,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(conjunct,[],[normalize_4_57]) ).
fof(normalize_4_59,plain,
op1(e11,e11) != op1(e12,e11),
inference(conjunct,[],[normalize_4_41]) ).
fof(normalize_4_60,plain,
( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ),
inference(conjunct,[],[normalize_4_49]) ).
fof(normalize_4_61,plain,
( ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e10) != e13 )
& ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e13) = e10 )
& ( op1(e11,e10) != e11
| op1(e13,e10) != e13
| op1(e12,e12) = e10 )
& ( op1(e11,e10) != e11
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e10) != e12
| op1(e13,e10) != e13
| op1(e11,e11) = e10 )
& ( op1(e12,e10) != e12
| op1(e11,e11) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) != e13
| op1(e11,e11) = e10
| op1(e12,e12) = e10 )
& ( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ) ),
inference(clausify,[],[normalize_4_60]) ).
fof(normalize_4_62,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_63,plain,
e10 != e12,
inference(conjunct,[],[normalize_4_53]) ).
fof(normalize_4_64,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_4_41]) ).
fof(normalize_4_65,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_66,plain,
op1(e12,e11) != op1(e12,e13),
inference(conjunct,[],[normalize_4_41]) ).
fof(normalize_4_67,plain,
op1(e12,e10) != op1(e12,e12),
inference(conjunct,[],[normalize_4_41]) ).
fof(normalize_4_68,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(conjunct,[],[normalize_4_57]) ).
cnf(refute_4_0,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(canonicalize,[],[normalize_4_1]) ).
cnf(refute_4_1,plain,
h1(e12) = op2(e20,e20),
inference(canonicalize,[],[normalize_4_3]) ).
cnf(refute_4_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_4_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_4_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_4_2,refute_4_3]) ).
cnf(refute_4_5,plain,
( h1(e12) != op2(e20,e20)
| op2(e20,e20) = h1(e12) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(h1(e12))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_4_6,plain,
op2(e20,e20) = h1(e12),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,e20)) )],[refute_4_1,refute_4_5]) ).
cnf(refute_4_7,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e12)
| h1(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e12))]]) ).
cnf(refute_4_8,plain,
( op2(e20,e20) != e22
| h1(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_4_6,refute_4_7]) ).
cnf(refute_4_9,plain,
( h1(e12) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_4_0,refute_4_8]) ).
cnf(refute_4_10,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_4_5]) ).
cnf(refute_4_11,plain,
e22 = op2(e23,e23),
inference(canonicalize,[],[normalize_4_7]) ).
cnf(refute_4_12,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_4_13,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_4_11,refute_4_12]) ).
cnf(refute_4_14,plain,
( op2(e23,e20) != e22
| op2(e23,e23) != e22
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_4_15,plain,
( op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_4_13,refute_4_14]) ).
cnf(refute_4_16,plain,
op2(e23,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_4_15,refute_4_10]) ).
cnf(refute_4_17,plain,
( h1(e12) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_4_9,refute_4_16]) ).
cnf(refute_4_18,plain,
( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(canonicalize,[],[normalize_4_11]) ).
cnf(refute_4_19,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e12)
| h1(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e12))]]) ).
cnf(refute_4_20,plain,
( op2(e20,e20) != e21
| h1(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_4_6,refute_4_19]) ).
cnf(refute_4_21,plain,
( h1(e12) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_4_18,refute_4_20]) ).
cnf(refute_4_22,plain,
h3(e12) = op2(e22,e22),
inference(canonicalize,[],[normalize_4_13]) ).
cnf(refute_4_23,plain,
( h3(e12) != op2(e22,e22)
| op2(e22,e22) = h3(e12) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_4_24,plain,
op2(e22,e22) = h3(e12),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e22)) )],[refute_4_22,refute_4_23]) ).
cnf(refute_4_25,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e12)
| h3(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e12))]]) ).
cnf(refute_4_26,plain,
( op2(e22,e22) != e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_4_24,refute_4_25]) ).
cnf(refute_4_27,plain,
( h1(e12) = e21
| h3(e12) = e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_4_21,refute_4_26]) ).
cnf(refute_4_28,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[0],$fot(e22)]]) ).
cnf(refute_4_29,plain,
( op2(e23,e23) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_4_13,refute_4_28]) ).
cnf(refute_4_30,plain,
( e22 = e21
| h1(e12) = e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_27,refute_4_29]) ).
cnf(refute_4_31,plain,
e21 != e22,
inference(canonicalize,[],[normalize_4_15]) ).
cnf(refute_4_32,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_4_33,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_32,refute_4_31]) ).
cnf(refute_4_34,plain,
( h1(e12) = e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_4_30,refute_4_33]) ).
cnf(refute_4_35,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_4_16]) ).
cnf(refute_4_36,plain,
( h3(e12) != op2(e22,e23)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_4_37,plain,
( h3(e12) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_4_24,refute_4_36]) ).
cnf(refute_4_38,plain,
h3(e12) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_4_37,refute_4_35]) ).
cnf(refute_4_39,plain,
e21 = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_4_17]) ).
cnf(refute_4_40,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_4_41,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_4_42,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_4_40,refute_4_41]) ).
cnf(refute_4_43,plain,
op2(op2(e23,e23),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_4_13,refute_4_42]) ).
cnf(refute_4_44,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_4_45,plain,
( e21 != op2(op2(e23,e23),e23)
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e22,e23)) )],[refute_4_43,refute_4_44]) ).
cnf(refute_4_46,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_4_39,refute_4_45]) ).
cnf(refute_4_47,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_4_48,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_4_46,refute_4_47]) ).
cnf(refute_4_49,plain,
( h3(e12) != e21
| op2(e22,e23) != e21
| h3(e12) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_4_50,plain,
( h3(e12) != e21
| h3(e12) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_4_48,refute_4_49]) ).
cnf(refute_4_51,plain,
h3(e12) != e21,
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e23)) )],[refute_4_50,refute_4_38]) ).
cnf(refute_4_52,plain,
h1(e12) = e21,
inference(resolve,[$cnf( $equal(h3(e12),e21) )],[refute_4_34,refute_4_51]) ).
cnf(refute_4_53,plain,
( h1(e12) != e21
| h1(e12) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e22) ),[0],$fot(e21)]]) ).
cnf(refute_4_54,plain,
( h1(e12) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_4_52,refute_4_53]) ).
cnf(refute_4_55,plain,
( e21 = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(h1(e12),e22) )],[refute_4_17,refute_4_54]) ).
cnf(refute_4_56,plain,
h1(e11) = op2(op2(e20,e20),e20),
inference(canonicalize,[],[normalize_4_18]) ).
cnf(refute_4_57,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_4_58,plain,
( op2(e20,e20) != h1(e12)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e12),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e12))]]) ).
cnf(refute_4_59,plain,
( op2(e20,e20) != h1(e12)
| op2(op2(e20,e20),e20) = op2(h1(e12),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_4_57,refute_4_58]) ).
cnf(refute_4_60,plain,
op2(op2(e20,e20),e20) = op2(h1(e12),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_4_6,refute_4_59]) ).
cnf(refute_4_61,plain,
( h1(e11) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) != op2(h1(e12),e20)
| h1(e11) = op2(h1(e12),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e12),e20)) ),[0],$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_4_62,plain,
( h1(e11) != op2(op2(e20,e20),e20)
| h1(e11) = op2(h1(e12),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e12),e20)) )],[refute_4_60,refute_4_61]) ).
cnf(refute_4_63,plain,
h1(e11) = op2(h1(e12),e20),
inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),e20)) )],[refute_4_56,refute_4_62]) ).
cnf(refute_4_64,plain,
op2(h1(e12),e20) = op2(h1(e12),e20),
introduced(tautology,[refl,[$fot(op2(h1(e12),e20))]]) ).
cnf(refute_4_65,plain,
( h1(e12) != e21
| op2(h1(e12),e20) != op2(h1(e12),e20)
| op2(h1(e12),e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e12),e20),op2(h1(e12),e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_4_66,plain,
( h1(e12) != e21
| op2(h1(e12),e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e12),e20),op2(h1(e12),e20)) )],[refute_4_64,refute_4_65]) ).
cnf(refute_4_67,plain,
op2(h1(e12),e20) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_4_52,refute_4_66]) ).
cnf(refute_4_68,plain,
( h1(e11) != op2(h1(e12),e20)
| op2(h1(e12),e20) != op2(e21,e20)
| h1(e11) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e21,e20)) ),[0],$fot(op2(h1(e12),e20))]]) ).
cnf(refute_4_69,plain,
( h1(e11) != op2(h1(e12),e20)
| h1(e11) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e12),e20),op2(e21,e20)) )],[refute_4_67,refute_4_68]) ).
cnf(refute_4_70,plain,
h1(e11) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e12),e20)) )],[refute_4_63,refute_4_69]) ).
cnf(refute_4_71,plain,
( h1(e11) != op2(e21,e20)
| op2(e21,e20) = h1(e11) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_4_72,plain,
op2(e21,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e20)) )],[refute_4_70,refute_4_71]) ).
cnf(refute_4_73,plain,
( op2(e21,e20) != e22
| op2(e21,e20) != h1(e11)
| h1(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e22) ),[0],$fot(h1(e11))]]) ).
cnf(refute_4_74,plain,
( op2(e21,e20) != e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e11)) )],[refute_4_72,refute_4_73]) ).
cnf(refute_4_75,plain,
( e21 = e22
| h1(e11) = e22
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e22) )],[refute_4_55,refute_4_74]) ).
cnf(refute_4_76,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(canonicalize,[],[normalize_4_19]) ).
cnf(refute_4_77,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e12)
| h1(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e12))]]) ).
cnf(refute_4_78,plain,
( op2(e20,e20) != e20
| h1(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_4_6,refute_4_77]) ).
cnf(refute_4_79,plain,
( h1(e12) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_4_76,refute_4_78]) ).
cnf(refute_4_80,plain,
( h1(e12) != e20
| h1(e12) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e20) ),[0],$fot(e21)]]) ).
cnf(refute_4_81,plain,
( h1(e12) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_4_52,refute_4_80]) ).
cnf(refute_4_82,plain,
( e21 = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(h1(e12),e20) )],[refute_4_79,refute_4_81]) ).
cnf(refute_4_83,plain,
( op2(e21,e20) != e20
| op2(e21,e20) != h1(e11)
| h1(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e20) ),[0],$fot(h1(e11))]]) ).
cnf(refute_4_84,plain,
( op2(e21,e20) != e20
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e11)) )],[refute_4_72,refute_4_83]) ).
cnf(refute_4_85,plain,
( e21 = e20
| h1(e11) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e20) )],[refute_4_82,refute_4_84]) ).
cnf(refute_4_86,plain,
e20 != e21,
inference(canonicalize,[],[normalize_4_20]) ).
cnf(refute_4_87,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_4_88,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_4_87,refute_4_86]) ).
cnf(refute_4_89,plain,
( h1(e11) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_4_85,refute_4_88]) ).
cnf(refute_4_90,plain,
op2(e21,e20) != op2(e21,e21),
inference(canonicalize,[],[normalize_4_21]) ).
cnf(refute_4_91,plain,
h2(e12) = op2(e21,e21),
inference(canonicalize,[],[normalize_4_23]) ).
cnf(refute_4_92,plain,
( h2(e12) != op2(e21,e21)
| op2(e21,e21) = h2(e12) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(h2(e12))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_4_93,plain,
op2(e21,e21) = h2(e12),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e21)) )],[refute_4_91,refute_4_92]) ).
cnf(refute_4_94,plain,
( op2(e21,e20) != h2(e12)
| op2(e21,e21) != h2(e12)
| op2(e21,e20) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e21)) ),[1],$fot(h2(e12))]]) ).
cnf(refute_4_95,plain,
( op2(e21,e20) != h2(e12)
| op2(e21,e20) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_4_93,refute_4_94]) ).
cnf(refute_4_96,plain,
op2(e21,e20) != h2(e12),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e21)) )],[refute_4_95,refute_4_90]) ).
cnf(refute_4_97,plain,
( h1(e11) != h2(e12)
| op2(e21,e20) != h1(e11)
| op2(e21,e20) = h2(e12) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),h1(e11)) ),[1],$fot(h2(e12))]]) ).
cnf(refute_4_98,plain,
( h1(e11) != h2(e12)
| op2(e21,e20) = h2(e12) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e11)) )],[refute_4_72,refute_4_97]) ).
cnf(refute_4_99,plain,
h1(e11) != h2(e12),
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e12)) )],[refute_4_98,refute_4_96]) ).
cnf(refute_4_100,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_4_26]) ).
cnf(refute_4_101,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e12)
| h2(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e12))]]) ).
cnf(refute_4_102,plain,
( op2(e21,e21) != e20
| h2(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_4_93,refute_4_101]) ).
cnf(refute_4_103,plain,
( h2(e12) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_4_100,refute_4_102]) ).
cnf(refute_4_104,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e12)
| h3(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e12))]]) ).
cnf(refute_4_105,plain,
( op2(e22,e22) != e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_4_24,refute_4_104]) ).
cnf(refute_4_106,plain,
( h2(e12) = e20
| h3(e12) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_4_103,refute_4_105]) ).
cnf(refute_4_107,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_4_108,plain,
( op2(e23,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_4_13,refute_4_107]) ).
cnf(refute_4_109,plain,
( e22 = e20
| h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_106,refute_4_108]) ).
cnf(refute_4_110,plain,
e20 != e22,
inference(canonicalize,[],[normalize_4_27]) ).
cnf(refute_4_111,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_4_112,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_4_111,refute_4_110]) ).
cnf(refute_4_113,plain,
( h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_4_109,refute_4_112]) ).
cnf(refute_4_114,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_4_28]) ).
cnf(refute_4_115,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_4_116,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_4_24,refute_4_115]) ).
cnf(refute_4_117,plain,
h3(e12) != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_4_116,refute_4_114]) ).
cnf(refute_4_118,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_4_29]) ).
cnf(refute_4_119,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_4_120,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_4_121,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_4_119,refute_4_120]) ).
cnf(refute_4_122,plain,
op2(e23,op2(e23,e23)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_4_13,refute_4_121]) ).
cnf(refute_4_123,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_4_124,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e22)) )],[refute_4_122,refute_4_123]) ).
cnf(refute_4_125,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_4_118,refute_4_124]) ).
cnf(refute_4_126,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_4_127,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_4_125,refute_4_126]) ).
cnf(refute_4_128,plain,
( h3(e12) != e20
| op2(e23,e22) != e20
| h3(e12) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_4_129,plain,
( h3(e12) != e20
| h3(e12) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_4_127,refute_4_128]) ).
cnf(refute_4_130,plain,
h3(e12) != e20,
inference(resolve,[$cnf( $equal(h3(e12),op2(e23,e22)) )],[refute_4_129,refute_4_117]) ).
cnf(refute_4_131,plain,
h2(e12) = e20,
inference(resolve,[$cnf( $equal(h3(e12),e20) )],[refute_4_113,refute_4_130]) ).
cnf(refute_4_132,plain,
( h1(e11) != e20
| h2(e12) != e20
| h1(e11) = h2(e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h2(e12)) ),[1],$fot(e20)]]) ).
cnf(refute_4_133,plain,
( h1(e11) != e20
| h1(e11) = h2(e12) ),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_4_131,refute_4_132]) ).
cnf(refute_4_134,plain,
h1(e11) != e20,
inference(resolve,[$cnf( $equal(h1(e11),h2(e12)) )],[refute_4_133,refute_4_99]) ).
cnf(refute_4_135,plain,
( op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_89,refute_4_134]) ).
cnf(refute_4_136,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_4_30]) ).
cnf(refute_4_137,plain,
( op2(e23,e20) != e20
| op2(e23,e22) != e20
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_4_138,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_4_127,refute_4_137]) ).
cnf(refute_4_139,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_4_138,refute_4_136]) ).
cnf(refute_4_140,plain,
op2(e22,e20) = e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_4_135,refute_4_139]) ).
cnf(refute_4_141,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(e20)]]) ).
cnf(refute_4_142,plain,
( op2(e22,e20) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_4_140,refute_4_141]) ).
cnf(refute_4_143,plain,
( e20 = e22
| e21 = e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_4_75,refute_4_142]) ).
cnf(refute_4_144,plain,
( e21 = e22
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_4_143,refute_4_110]) ).
cnf(refute_4_145,plain,
h1(e11) = e22,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_4_144,refute_4_31]) ).
cnf(refute_4_146,plain,
h4(op1(e11,e10)) != op2(h4(e11),h4(e10)),
inference(canonicalize,[],[normalize_4_36]) ).
cnf(refute_4_147,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_4_38]) ).
cnf(refute_4_148,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_4_149,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_4_118,refute_4_148]) ).
cnf(refute_4_150,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_4_151,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_4_149,refute_4_150]) ).
cnf(refute_4_152,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_4_147,refute_4_151]) ).
cnf(refute_4_153,plain,
op2(e21,h4(e10)) = op2(e21,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e10)))]]) ).
cnf(refute_4_154,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_155,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) )],[refute_4_153,refute_4_154]) ).
cnf(refute_4_156,plain,
op2(e21,h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_4_152,refute_4_155]) ).
cnf(refute_4_157,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_4_39]) ).
cnf(refute_4_158,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = e21 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(op2(e23,e23),e23)))]]) ).
cnf(refute_4_159,plain,
op2(op2(e23,e23),e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_4_39,refute_4_158]) ).
cnf(refute_4_160,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_4_161,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),e21) )],[refute_4_159,refute_4_160]) ).
cnf(refute_4_162,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),e23)) )],[refute_4_157,refute_4_161]) ).
cnf(refute_4_163,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_4_164,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_165,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_4_163,refute_4_164]) ).
cnf(refute_4_166,plain,
op2(h4(e11),h4(e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_4_162,refute_4_165]) ).
cnf(refute_4_167,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_4_168,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_4_4,refute_4_167]) ).
cnf(refute_4_169,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) != op2(e21,h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(subst,[],[refute_4_168:[bind(X,$fot(op2(h4(e11),h4(e10)))),bind(Y,$fot(op2(e21,h4(e10)))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_4_170,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,h4(e10))) )],[refute_4_166,refute_4_169]) ).
cnf(refute_4_171,plain,
op2(h4(e11),h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,e20)) )],[refute_4_156,refute_4_170]) ).
cnf(refute_4_172,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) != op2(e21,e20)
| h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_4_173,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,e20)) )],[refute_4_171,refute_4_172]) ).
cnf(refute_4_174,plain,
h4(op1(e11,e10)) != op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_4_173,refute_4_146]) ).
cnf(refute_4_175,plain,
( h4(op1(e11,e10)) != h1(e11)
| op2(e21,e20) != h1(e11)
| h4(op1(e11,e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_4_176,plain,
( h4(op1(e11,e10)) != h1(e11)
| h4(op1(e11,e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e11)) )],[refute_4_72,refute_4_175]) ).
cnf(refute_4_177,plain,
h4(op1(e11,e10)) != h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) )],[refute_4_176,refute_4_174]) ).
cnf(refute_4_178,plain,
h4(e12) = op2(e23,e23),
inference(canonicalize,[],[normalize_4_40]) ).
cnf(refute_4_179,plain,
( h4(e12) != op2(e23,e23)
| op2(e23,e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_4_180,plain,
( h4(e12) != op2(e23,e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_4_13,refute_4_179]) ).
cnf(refute_4_181,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e23)) )],[refute_4_178,refute_4_180]) ).
cnf(refute_4_182,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_4_42]) ).
cnf(refute_4_183,plain,
op1(e12,e10) != op1(e12,e11),
inference(canonicalize,[],[normalize_4_43]) ).
cnf(refute_4_184,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(canonicalize,[],[normalize_4_45]) ).
cnf(refute_4_185,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_4_46]) ).
cnf(refute_4_186,plain,
e12 = op1(e13,e13),
inference(canonicalize,[],[normalize_4_48]) ).
cnf(refute_4_187,plain,
( e12 != op1(e13,e13)
| op1(e13,e13) = e12 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_4_188,plain,
op1(e13,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_4_186,refute_4_187]) ).
cnf(refute_4_189,plain,
( op1(e13,e10) != e12
| op1(e13,e13) != e12
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_4_190,plain,
( op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_4_188,refute_4_189]) ).
cnf(refute_4_191,plain,
op1(e13,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_4_190,refute_4_185]) ).
cnf(refute_4_192,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_4_184,refute_4_191]) ).
cnf(refute_4_193,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(canonicalize,[],[normalize_4_52]) ).
cnf(refute_4_194,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[0],$fot(e12)]]) ).
cnf(refute_4_195,plain,
( op1(e13,e13) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_4_188,refute_4_194]) ).
cnf(refute_4_196,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_193,refute_4_195]) ).
cnf(refute_4_197,plain,
e11 != e12,
inference(canonicalize,[],[normalize_4_54]) ).
cnf(refute_4_198,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_4_199,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_4_198,refute_4_197]) ).
cnf(refute_4_200,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_4_196,refute_4_199]) ).
cnf(refute_4_201,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_4_55]) ).
cnf(refute_4_202,plain,
e11 = op1(op1(e13,e13),e13),
inference(canonicalize,[],[normalize_4_56]) ).
cnf(refute_4_203,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_4_204,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(e12)]]) ).
cnf(refute_4_205,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_4_203,refute_4_204]) ).
cnf(refute_4_206,plain,
op1(op1(e13,e13),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_4_188,refute_4_205]) ).
cnf(refute_4_207,plain,
( e11 != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_4_208,plain,
( e11 != op1(op1(e13,e13),e13)
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e12,e13)) )],[refute_4_206,refute_4_207]) ).
cnf(refute_4_209,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),e13)) )],[refute_4_202,refute_4_208]) ).
cnf(refute_4_210,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_4_211,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_4_209,refute_4_210]) ).
cnf(refute_4_212,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_4_213,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_4_211,refute_4_212]) ).
cnf(refute_4_214,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_4_213,refute_4_201]) ).
cnf(refute_4_215,plain,
op1(e10,e10) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_4_200,refute_4_214]) ).
cnf(refute_4_216,plain,
( op1(e10,e10) != e11
| op1(e10,e10) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[0],$fot(e11)]]) ).
cnf(refute_4_217,plain,
( op1(e10,e10) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_4_215,refute_4_216]) ).
cnf(refute_4_218,plain,
( e11 = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_4_192,refute_4_217]) ).
cnf(refute_4_219,plain,
( op1(e11,e10) = e12
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_4_218,refute_4_197]) ).
cnf(refute_4_220,plain,
( e12 != op1(e12,e11)
| op1(e12,e10) != e12
| op1(e12,e10) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_4_221,plain,
( e12 != op1(e12,e11)
| op1(e11,e10) = e12
| op1(e12,e10) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_4_219,refute_4_220]) ).
cnf(refute_4_222,plain,
( e12 != op1(e12,e11)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e11)) )],[refute_4_221,refute_4_183]) ).
cnf(refute_4_223,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(canonicalize,[],[normalize_4_58]) ).
cnf(refute_4_224,plain,
op1(e11,e11) != op1(e12,e11),
inference(canonicalize,[],[normalize_4_59]) ).
cnf(refute_4_225,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_4_62]) ).
cnf(refute_4_226,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_4_227,plain,
( op1(e13,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_4_188,refute_4_226]) ).
cnf(refute_4_228,plain,
( e12 = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_225,refute_4_227]) ).
cnf(refute_4_229,plain,
e10 != e12,
inference(canonicalize,[],[normalize_4_63]) ).
cnf(refute_4_230,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_4_231,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_4_230,refute_4_229]) ).
cnf(refute_4_232,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_4_228,refute_4_231]) ).
cnf(refute_4_233,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_4_64]) ).
cnf(refute_4_234,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_4_65]) ).
cnf(refute_4_235,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_4_236,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_4_237,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_4_235,refute_4_236]) ).
cnf(refute_4_238,plain,
op1(e13,op1(e13,e13)) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_4_188,refute_4_237]) ).
cnf(refute_4_239,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_4_240,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e12)) )],[refute_4_238,refute_4_239]) ).
cnf(refute_4_241,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_4_234,refute_4_240]) ).
cnf(refute_4_242,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_4_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_4_243,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_4_241,refute_4_242]) ).
cnf(refute_4_244,plain,
( op1(e12,e12) != e10
| op1(e13,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_4_245,plain,
( op1(e12,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_4_243,refute_4_244]) ).
cnf(refute_4_246,plain,
op1(e12,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_4_245,refute_4_233]) ).
cnf(refute_4_247,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_4_232,refute_4_246]) ).
cnf(refute_4_248,plain,
( e10 != op1(e12,e11)
| op1(e11,e11) != e10
| op1(e11,e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_4_249,plain,
( e10 != op1(e12,e11)
| op1(e11,e11) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_4_247,refute_4_248]) ).
cnf(refute_4_250,plain,
e10 != op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e12,e11)) )],[refute_4_249,refute_4_224]) ).
cnf(refute_4_251,plain,
( op1(e12,e11) != e10
| e10 = op1(e12,e11) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(op1(e12,e11))),bind(Y,$fot(e10))]]) ).
cnf(refute_4_252,plain,
op1(e12,e11) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e12,e11)) )],[refute_4_251,refute_4_250]) ).
cnf(refute_4_253,plain,
( op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_4_223,refute_4_252]) ).
cnf(refute_4_254,plain,
op1(e12,e11) != op1(e12,e13),
inference(canonicalize,[],[normalize_4_66]) ).
cnf(refute_4_255,plain,
( op1(e12,e11) != e11
| op1(e12,e13) != e11
| op1(e12,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_4_256,plain,
( op1(e12,e11) != e11
| op1(e12,e11) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_4_211,refute_4_255]) ).
cnf(refute_4_257,plain,
op1(e12,e11) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_4_256,refute_4_254]) ).
cnf(refute_4_258,plain,
( op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_4_253,refute_4_257]) ).
cnf(refute_4_259,plain,
( e12 != e12
| op1(e12,e11) != e12
| e12 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e12,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_4_260,plain,
( e12 != e12
| e12 = op1(e12,e11)
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_4_258,refute_4_259]) ).
cnf(refute_4_261,plain,
( e12 != e12
| op1(e11,e10) = e12
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(e12,op1(e12,e11)) )],[refute_4_260,refute_4_222]) ).
cnf(refute_4_262,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_4_263,plain,
( op1(e11,e10) = e12
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_4_262,refute_4_261]) ).
cnf(refute_4_264,plain,
( e13 != op1(e12,e12)
| op1(e12,e11) != e13
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e13) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_4_265,plain,
( e13 != op1(e12,e12)
| op1(e11,e10) = e12
| op1(e12,e11) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_4_263,refute_4_264]) ).
cnf(refute_4_266,plain,
( e13 != op1(e12,e12)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_4_265,refute_4_182]) ).
cnf(refute_4_267,plain,
op1(e12,e10) != op1(e12,e12),
inference(canonicalize,[],[normalize_4_67]) ).
cnf(refute_4_268,plain,
( e12 != op1(e12,e12)
| op1(e12,e10) != e12
| op1(e12,e10) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_4_269,plain,
( e12 != op1(e12,e12)
| op1(e11,e10) = e12
| op1(e12,e10) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_4_219,refute_4_268]) ).
cnf(refute_4_270,plain,
( e12 != op1(e12,e12)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_4_269,refute_4_267]) ).
cnf(refute_4_271,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(canonicalize,[],[normalize_4_68]) ).
cnf(refute_4_272,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_4_271,refute_4_246]) ).
cnf(refute_4_273,plain,
( op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_4_272,refute_4_214]) ).
cnf(refute_4_274,plain,
( e12 != e12
| op1(e12,e12) != e12
| e12 = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e12,e12)) ),[1],$fot(e12)]]) ).
cnf(refute_4_275,plain,
( e12 != e12
| e12 = op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_4_273,refute_4_274]) ).
cnf(refute_4_276,plain,
( e12 != e12
| op1(e11,e10) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(e12,op1(e12,e12)) )],[refute_4_275,refute_4_270]) ).
cnf(refute_4_277,plain,
( op1(e11,e10) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_4_262,refute_4_276]) ).
cnf(refute_4_278,plain,
( e13 != e13
| op1(e12,e12) != e13
| e13 = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_4_279,plain,
( e13 != e13
| e13 = op1(e12,e12)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_277,refute_4_278]) ).
cnf(refute_4_280,plain,
( e13 != e13
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_4_279,refute_4_266]) ).
cnf(refute_4_281,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_4_282,plain,
op1(e11,e10) = e12,
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_4_281,refute_4_280]) ).
cnf(refute_4_283,plain,
h4(op1(e11,e10)) = h4(op1(e11,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e10)))]]) ).
cnf(refute_4_284,plain,
( h4(op1(e11,e10)) != h4(op1(e11,e10))
| op1(e11,e10) != e12
| h4(op1(e11,e10)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e11,e10))) ),[1,0],$fot(e12)]]) ).
cnf(refute_4_285,plain,
( op1(e11,e10) != e12
| h4(op1(e11,e10)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e11,e10))) )],[refute_4_283,refute_4_284]) ).
cnf(refute_4_286,plain,
h4(op1(e11,e10)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_4_282,refute_4_285]) ).
cnf(refute_4_287,plain,
( h4(e12) != e22
| h4(op1(e11,e10)) != h4(e12)
| h4(op1(e11,e10)) = e22 ),
inference(subst,[],[refute_4_168:[bind(X,$fot(h4(op1(e11,e10)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_4_288,plain,
( h4(e12) != e22
| h4(op1(e11,e10)) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(e12)) )],[refute_4_286,refute_4_287]) ).
cnf(refute_4_289,plain,
h4(op1(e11,e10)) = e22,
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_4_181,refute_4_288]) ).
cnf(refute_4_290,plain,
( e22 != h1(e11)
| h4(op1(e11,e10)) != e22
| h4(op1(e11,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),e22) ),[1],$fot(h1(e11))]]) ).
cnf(refute_4_291,plain,
( e22 != h1(e11)
| h4(op1(e11,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),e22) )],[refute_4_289,refute_4_290]) ).
cnf(refute_4_292,plain,
e22 != h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h1(e11)) )],[refute_4_291,refute_4_177]) ).
cnf(refute_4_293,plain,
( h1(e11) != e22
| e22 = h1(e11) ),
inference(subst,[],[refute_4_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(e22))]]) ).
cnf(refute_4_294,plain,
h1(e11) != e22,
inference(resolve,[$cnf( $equal(e22,h1(e11)) )],[refute_4_293,refute_4_292]) ).
cnf(refute_4_295,plain,
$false,
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_4_145,refute_4_294]) ).
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(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = 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(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = 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(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = 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,
h2(e12) = op2(e21,e21),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_10,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_5_11,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_12,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_5_13,plain,
e21 = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_5_12]) ).
fof(normalize_5_14,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22 ) )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_5_15,plain,
( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ),
inference(conjunct,[],[normalize_5_14]) ).
fof(normalize_5_16,plain,
( ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e20) != e23 )
& ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e23) = e20 )
& ( op2(e21,e20) != e21
| op2(e23,e20) != e23
| op2(e22,e22) = e20 )
& ( op2(e21,e20) != e21
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e20) != e22
| op2(e23,e20) != e23
| op2(e21,e21) = e20 )
& ( op2(e22,e20) != e22
| op2(e21,e21) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) != e23
| op2(e21,e21) = e20
| op2(e22,e22) = e20 )
& ( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ) ),
inference(clausify,[],[normalize_5_15]) ).
fof(normalize_5_17,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_5_16]) ).
fof(normalize_5_18,plain,
h3(e12) = op2(e22,e22),
inference(conjunct,[],[normalize_5_5]) ).
fof(normalize_5_19,plain,
e22 = op2(e23,e23),
inference(conjunct,[],[normalize_5_12]) ).
fof(normalize_5_20,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_5_21,plain,
e20 != e22,
inference(conjunct,[],[normalize_5_20]) ).
fof(normalize_5_22,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_5_23,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_5_22]) ).
fof(normalize_5_24,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_5_12]) ).
fof(normalize_5_25,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_26,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12 ) )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_5_27,plain,
( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ),
inference(conjunct,[],[normalize_5_26]) ).
fof(normalize_5_28,plain,
( ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e10) != e13 )
& ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e13) = e10 )
& ( op1(e11,e10) != e11
| op1(e13,e10) != e13
| op1(e12,e12) = e10 )
& ( op1(e11,e10) != e11
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e10) != e12
| op1(e13,e10) != e13
| op1(e11,e11) = e10 )
& ( op1(e12,e10) != e12
| op1(e11,e11) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) != e13
| op1(e11,e11) = e10
| op1(e12,e12) = e10 )
& ( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ) ),
inference(clausify,[],[normalize_5_27]) ).
fof(normalize_5_29,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_5_28]) ).
fof(normalize_5_30,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_5_31,plain,
e12 = op1(e13,e13),
inference(conjunct,[],[normalize_5_30]) ).
fof(normalize_5_32,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_5_33,plain,
e10 != e12,
inference(conjunct,[],[normalize_5_32]) ).
fof(normalize_5_34,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_5_35,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_36,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_5_30]) ).
cnf(refute_5_0,plain,
h4(op1(e11,e11)) != op2(h4(e11),h4(e11)),
inference(canonicalize,[],[normalize_5_8]) ).
cnf(refute_5_1,plain,
h2(e12) = op2(e21,e21),
inference(canonicalize,[],[normalize_5_9]) ).
cnf(refute_5_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_5_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_5_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_5_2,refute_5_3]) ).
cnf(refute_5_5,plain,
( h2(e12) != op2(e21,e21)
| op2(e21,e21) = h2(e12) ),
inference(subst,[],[refute_5_4:[bind(X,$fot(h2(e12))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_5_6,plain,
op2(e21,e21) = h2(e12),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e21)) )],[refute_5_1,refute_5_5]) ).
cnf(refute_5_7,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_5_11]) ).
cnf(refute_5_8,plain,
e21 = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_5_13]) ).
cnf(refute_5_9,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = e21 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(op2(e23,e23),e23)))]]) ).
cnf(refute_5_10,plain,
op2(op2(e23,e23),e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_5_8,refute_5_9]) ).
cnf(refute_5_11,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_5_12,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),e21) )],[refute_5_10,refute_5_11]) ).
cnf(refute_5_13,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),e23)) )],[refute_5_7,refute_5_12]) ).
cnf(refute_5_14,plain,
op2(e21,h4(e11)) = op2(e21,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e11)))]]) ).
cnf(refute_5_15,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_16,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) )],[refute_5_14,refute_5_15]) ).
cnf(refute_5_17,plain,
op2(e21,h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_13,refute_5_16]) ).
cnf(refute_5_18,plain,
op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_5_19,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_20,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_5_18,refute_5_19]) ).
cnf(refute_5_21,plain,
op2(h4(e11),h4(e11)) = op2(e21,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_5_13,refute_5_20]) ).
cnf(refute_5_22,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_5_23,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_5_4,refute_5_22]) ).
cnf(refute_5_24,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) != op2(e21,h4(e11))
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(subst,[],[refute_5_23:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,h4(e11)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_5_25,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,h4(e11))) )],[refute_5_21,refute_5_24]) ).
cnf(refute_5_26,plain,
op2(h4(e11),h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,e21)) )],[refute_5_17,refute_5_25]) ).
cnf(refute_5_27,plain,
( op2(e21,e21) != h2(e12)
| op2(h4(e11),h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = h2(e12) ),
inference(subst,[],[refute_5_23:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e12)))]]) ).
cnf(refute_5_28,plain,
( op2(e21,e21) != h2(e12)
| op2(h4(e11),h4(e11)) = h2(e12) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,e21)) )],[refute_5_26,refute_5_27]) ).
cnf(refute_5_29,plain,
op2(h4(e11),h4(e11)) = h2(e12),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_5_6,refute_5_28]) ).
cnf(refute_5_30,plain,
( h4(op1(e11,e11)) != h2(e12)
| op2(h4(e11),h4(e11)) != h2(e12)
| h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) ),[1],$fot(h2(e12))]]) ).
cnf(refute_5_31,plain,
( h4(op1(e11,e11)) != h2(e12)
| h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e12)) )],[refute_5_29,refute_5_30]) ).
cnf(refute_5_32,plain,
h4(op1(e11,e11)) != h2(e12),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_5_31,refute_5_0]) ).
cnf(refute_5_33,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_5_17]) ).
cnf(refute_5_34,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e12)
| h2(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e12))]]) ).
cnf(refute_5_35,plain,
( op2(e21,e21) != e20
| h2(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_5_6,refute_5_34]) ).
cnf(refute_5_36,plain,
( h2(e12) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_5_33,refute_5_35]) ).
cnf(refute_5_37,plain,
h3(e12) = op2(e22,e22),
inference(canonicalize,[],[normalize_5_18]) ).
cnf(refute_5_38,plain,
( h3(e12) != op2(e22,e22)
| op2(e22,e22) = h3(e12) ),
inference(subst,[],[refute_5_4:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_5_39,plain,
op2(e22,e22) = h3(e12),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e22)) )],[refute_5_37,refute_5_38]) ).
cnf(refute_5_40,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e12)
| h3(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e12))]]) ).
cnf(refute_5_41,plain,
( op2(e22,e22) != e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_5_39,refute_5_40]) ).
cnf(refute_5_42,plain,
( h2(e12) = e20
| h3(e12) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_5_36,refute_5_41]) ).
cnf(refute_5_43,plain,
e22 = op2(e23,e23),
inference(canonicalize,[],[normalize_5_19]) ).
cnf(refute_5_44,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_5_45,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_5_43,refute_5_44]) ).
cnf(refute_5_46,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_5_47,plain,
( op2(e23,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_5_45,refute_5_46]) ).
cnf(refute_5_48,plain,
( e22 = e20
| h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_5_42,refute_5_47]) ).
cnf(refute_5_49,plain,
e20 != e22,
inference(canonicalize,[],[normalize_5_21]) ).
cnf(refute_5_50,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_5_51,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_5_50,refute_5_49]) ).
cnf(refute_5_52,plain,
( h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_5_48,refute_5_51]) ).
cnf(refute_5_53,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_5_23]) ).
cnf(refute_5_54,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_5_55,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_5_39,refute_5_54]) ).
cnf(refute_5_56,plain,
h3(e12) != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_5_55,refute_5_53]) ).
cnf(refute_5_57,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_5_24]) ).
cnf(refute_5_58,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_5_59,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_5_60,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_5_58,refute_5_59]) ).
cnf(refute_5_61,plain,
op2(e23,op2(e23,e23)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_5_45,refute_5_60]) ).
cnf(refute_5_62,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_5_63,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e22)) )],[refute_5_61,refute_5_62]) ).
cnf(refute_5_64,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_5_57,refute_5_63]) ).
cnf(refute_5_65,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_5_66,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_5_64,refute_5_65]) ).
cnf(refute_5_67,plain,
( h3(e12) != e20
| op2(e23,e22) != e20
| h3(e12) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_5_68,plain,
( h3(e12) != e20
| h3(e12) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_5_66,refute_5_67]) ).
cnf(refute_5_69,plain,
h3(e12) != e20,
inference(resolve,[$cnf( $equal(h3(e12),op2(e23,e22)) )],[refute_5_68,refute_5_56]) ).
cnf(refute_5_70,plain,
h2(e12) = e20,
inference(resolve,[$cnf( $equal(h3(e12),e20) )],[refute_5_52,refute_5_69]) ).
cnf(refute_5_71,plain,
( h2(e12) != e20
| h4(op1(e11,e11)) != e20
| h4(op1(e11,e11)) = h2(e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e12)) ),[1],$fot(e20)]]) ).
cnf(refute_5_72,plain,
( h4(op1(e11,e11)) != e20
| h4(op1(e11,e11)) = h2(e12) ),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_5_70,refute_5_71]) ).
cnf(refute_5_73,plain,
h4(op1(e11,e11)) != e20,
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e12)) )],[refute_5_72,refute_5_32]) ).
cnf(refute_5_74,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_5_25]) ).
cnf(refute_5_75,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_5_76,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_5_57,refute_5_75]) ).
cnf(refute_5_77,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_5_78,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_5_76,refute_5_77]) ).
cnf(refute_5_79,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_5_74,refute_5_78]) ).
cnf(refute_5_80,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_5_29]) ).
cnf(refute_5_81,plain,
e12 = op1(e13,e13),
inference(canonicalize,[],[normalize_5_31]) ).
cnf(refute_5_82,plain,
( e12 != op1(e13,e13)
| op1(e13,e13) = e12 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_5_83,plain,
op1(e13,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_5_81,refute_5_82]) ).
cnf(refute_5_84,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_5_85,plain,
( op1(e13,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_5_83,refute_5_84]) ).
cnf(refute_5_86,plain,
( e12 = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_5_80,refute_5_85]) ).
cnf(refute_5_87,plain,
e10 != e12,
inference(canonicalize,[],[normalize_5_33]) ).
cnf(refute_5_88,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_5_89,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_5_88,refute_5_87]) ).
cnf(refute_5_90,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_5_86,refute_5_89]) ).
cnf(refute_5_91,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_5_35]) ).
cnf(refute_5_92,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_5_36]) ).
cnf(refute_5_93,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_5_94,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_5_95,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_5_93,refute_5_94]) ).
cnf(refute_5_96,plain,
op1(e13,op1(e13,e13)) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_5_83,refute_5_95]) ).
cnf(refute_5_97,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_5_98,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e12)) )],[refute_5_96,refute_5_97]) ).
cnf(refute_5_99,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_5_92,refute_5_98]) ).
cnf(refute_5_100,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_5_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_5_101,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_5_99,refute_5_100]) ).
cnf(refute_5_102,plain,
( op1(e12,e12) != e10
| op1(e13,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_5_103,plain,
( op1(e12,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_5_101,refute_5_102]) ).
cnf(refute_5_104,plain,
op1(e12,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_5_103,refute_5_91]) ).
cnf(refute_5_105,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_5_90,refute_5_104]) ).
cnf(refute_5_106,plain,
h4(op1(e11,e11)) = h4(op1(e11,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e11)))]]) ).
cnf(refute_5_107,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_108,plain,
( op1(e11,e11) != e10
| h4(op1(e11,e11)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) )],[refute_5_106,refute_5_107]) ).
cnf(refute_5_109,plain,
h4(op1(e11,e11)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_5_105,refute_5_108]) ).
cnf(refute_5_110,plain,
( h4(e10) != e20
| h4(op1(e11,e11)) != h4(e10)
| h4(op1(e11,e11)) = e20 ),
inference(subst,[],[refute_5_23:[bind(X,$fot(h4(op1(e11,e11)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_5_111,plain,
( h4(e10) != e20
| h4(op1(e11,e11)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(e10)) )],[refute_5_109,refute_5_110]) ).
cnf(refute_5_112,plain,
h4(op1(e11,e11)) = e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_5_79,refute_5_111]) ).
cnf(refute_5_113,plain,
( e20 != e20
| h4(op1(e11,e11)) != e20
| h4(op1(e11,e11)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),e20) ),[1],$fot(e20)]]) ).
cnf(refute_5_114,plain,
( e20 != e20
| h4(op1(e11,e11)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e20) )],[refute_5_112,refute_5_113]) ).
cnf(refute_5_115,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e20) )],[refute_5_114,refute_5_73]) ).
cnf(refute_5_116,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_5_117,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_5_116,refute_5_115]) ).
fof(negate_6_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) )
=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
inference(negate,[],[subgoal_6]) ).
fof(normalize_6_0,plain,
( ( op2(e20,e20) = 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_1,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(conjunct,[],[normalize_6_0]) ).
fof(normalize_6_2,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_6_3,plain,
h3(e12) = op2(e22,e22),
inference(conjunct,[],[normalize_6_2]) ).
fof(normalize_6_4,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22 ) )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_6_5,plain,
( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) ),
inference(conjunct,[],[normalize_6_4]) ).
fof(normalize_6_6,plain,
( ( op2(e20,e23) != e20
| op2(e21,e23) != e21
| op2(e22,e23) != e22 )
& ( op2(e20,e23) != e20
| op2(e21,e23) != e21
| op2(e22,e22) = e23 )
& ( op2(e20,e23) != e20
| op2(e22,e23) != e22
| op2(e21,e21) = e23 )
& ( op2(e20,e23) != e20
| op2(e21,e21) = e23
| op2(e22,e22) = e23 )
& ( op2(e21,e23) != e21
| op2(e22,e23) != e22
| op2(e20,e20) = e23 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e22,e22) = e23 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ) ),
inference(clausify,[],[normalize_6_5]) ).
fof(normalize_6_7,plain,
( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ),
inference(conjunct,[],[normalize_6_6]) ).
fof(normalize_6_8,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = op2(e20,e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_6_9,plain,
h1(e12) = op2(e20,e20),
inference(conjunct,[],[normalize_6_8]) ).
fof(normalize_6_10,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = op2(e21,e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_6_11,plain,
h2(e12) = op2(e21,e21),
inference(conjunct,[],[normalize_6_10]) ).
fof(normalize_6_12,plain,
( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) ),
inference(conjunct,[],[normalize_6_4]) ).
fof(normalize_6_13,plain,
( ( op2(e20,e21) != e20
| op2(e22,e21) != e22
| op2(e23,e21) != e23 )
& ( op2(e20,e21) != e20
| op2(e22,e21) != e22
| op2(e23,e23) = e21 )
& ( op2(e20,e21) != e20
| op2(e23,e21) != e23
| op2(e22,e22) = e21 )
& ( op2(e20,e21) != e20
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e21) != e22
| op2(e23,e21) != e23
| op2(e20,e20) = e21 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e22,e22) = e21 )
& ( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ) ),
inference(clausify,[],[normalize_6_12]) ).
fof(normalize_6_14,plain,
( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_15,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_6_16,plain,
e22 = op2(e23,e23),
inference(conjunct,[],[normalize_6_15]) ).
fof(normalize_6_17,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_6_18,plain,
e21 != e22,
inference(conjunct,[],[normalize_6_17]) ).
fof(normalize_6_19,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_6_20,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_21,plain,
e21 = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_6_15]) ).
fof(normalize_6_22,plain,
( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ),
inference(conjunct,[],[normalize_6_4]) ).
fof(normalize_6_23,plain,
( ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e20) != e23 )
& ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e23) = e20 )
& ( op2(e21,e20) != e21
| op2(e23,e20) != e23
| op2(e22,e22) = e20 )
& ( op2(e21,e20) != e21
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e20) != e22
| op2(e23,e20) != e23
| op2(e21,e21) = e20 )
& ( op2(e22,e20) != e22
| op2(e21,e21) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) != e23
| op2(e21,e21) = e20
| op2(e22,e22) = e20 )
& ( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ) ),
inference(clausify,[],[normalize_6_22]) ).
fof(normalize_6_24,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_6_23]) ).
fof(normalize_6_25,plain,
e20 != e22,
inference(conjunct,[],[normalize_6_17]) ).
fof(normalize_6_26,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_27,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_6_15]) ).
fof(normalize_6_28,plain,
e20 != e23,
inference(conjunct,[],[normalize_6_17]) ).
fof(normalize_6_29,plain,
e21 != e23,
inference(conjunct,[],[normalize_6_17]) ).
fof(normalize_6_30,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_31,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_6_8]) ).
fof(normalize_6_32,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_6_10]) ).
fof(normalize_6_33,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_6_2]) ).
fof(normalize_6_34,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_30,normalize_6_31,normalize_6_32,normalize_6_33]) ).
fof(normalize_6_35,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_6_34]) ).
fof(normalize_6_36,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_6_37,plain,
h4(e12) = op2(e23,e23),
inference(conjunct,[],[normalize_6_36]) ).
fof(normalize_6_38,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_6_36]) ).
fof(normalize_6_39,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_6_40,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_6_39]) ).
fof(normalize_6_41,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_42,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_6_41]) ).
fof(normalize_6_43,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_6_44,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_6_43]) ).
fof(normalize_6_45,plain,
e12 = op1(e13,e13),
inference(conjunct,[],[normalize_6_43]) ).
fof(normalize_6_46,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_6_41]) ).
fof(normalize_6_47,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12 ) )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_6_48,plain,
( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) ),
inference(conjunct,[],[normalize_6_47]) ).
fof(normalize_6_49,plain,
( ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e11) != e13 )
& ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e13) = e11 )
& ( op1(e10,e11) != e10
| op1(e13,e11) != e13
| op1(e12,e12) = e11 )
& ( op1(e10,e11) != e10
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e11) != e12
| op1(e13,e11) != e13
| op1(e10,e10) = e11 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e12,e12) = e11 )
& ( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ) ),
inference(clausify,[],[normalize_6_48]) ).
fof(normalize_6_50,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(conjunct,[],[normalize_6_49]) ).
fof(normalize_6_51,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_6_52,plain,
e11 != e12,
inference(conjunct,[],[normalize_6_51]) ).
fof(normalize_6_53,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_6_41]) ).
fof(normalize_6_54,plain,
e11 = op1(op1(e13,e13),e13),
inference(conjunct,[],[normalize_6_43]) ).
fof(normalize_6_55,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_6_36]) ).
fof(normalize_6_56,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_57,plain,
e20 != e21,
inference(conjunct,[],[normalize_6_17]) ).
fof(normalize_6_58,plain,
h4(op1(e11,e12)) != op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_6_34]) ).
fof(normalize_6_59,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_6_36]) ).
fof(normalize_6_60,plain,
op1(e11,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_6_41]) ).
fof(normalize_6_61,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(conjunct,[],[normalize_6_39]) ).
fof(normalize_6_62,plain,
op1(e11,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_6_41]) ).
fof(normalize_6_63,plain,
op1(e10,e12) != op1(e11,e12),
inference(conjunct,[],[normalize_6_41]) ).
fof(normalize_6_64,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(conjunct,[],[normalize_6_39]) ).
fof(normalize_6_65,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_6_41]) ).
fof(normalize_6_66,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_6_41]) ).
cnf(refute_6_0,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(canonicalize,[],[normalize_6_1]) ).
cnf(refute_6_1,plain,
h3(e12) = op2(e22,e22),
inference(canonicalize,[],[normalize_6_3]) ).
cnf(refute_6_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_6_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_6_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_6_2,refute_6_3]) ).
cnf(refute_6_5,plain,
( h3(e12) != op2(e22,e22)
| op2(e22,e22) = h3(e12) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_6_6,plain,
op2(e22,e22) = h3(e12),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e22)) )],[refute_6_1,refute_6_5]) ).
cnf(refute_6_7,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e12)
| h3(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e12))]]) ).
cnf(refute_6_8,plain,
( op2(e22,e22) != e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_6_6,refute_6_7]) ).
cnf(refute_6_9,plain,
( h3(e12) = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_6_0,refute_6_8]) ).
cnf(refute_6_10,plain,
( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ),
inference(canonicalize,[],[normalize_6_7]) ).
cnf(refute_6_11,plain,
h1(e12) = op2(e20,e20),
inference(canonicalize,[],[normalize_6_9]) ).
cnf(refute_6_12,plain,
( h1(e12) != op2(e20,e20)
| op2(e20,e20) = h1(e12) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h1(e12))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_6_13,plain,
op2(e20,e20) = h1(e12),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,e20)) )],[refute_6_11,refute_6_12]) ).
cnf(refute_6_14,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e12)
| h1(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e12))]]) ).
cnf(refute_6_15,plain,
( op2(e20,e20) != e23
| h1(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_6_13,refute_6_14]) ).
cnf(refute_6_16,plain,
( h1(e12) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_6_10,refute_6_15]) ).
cnf(refute_6_17,plain,
h2(e12) = op2(e21,e21),
inference(canonicalize,[],[normalize_6_11]) ).
cnf(refute_6_18,plain,
( h2(e12) != op2(e21,e21)
| op2(e21,e21) = h2(e12) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(h2(e12))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_6_19,plain,
op2(e21,e21) = h2(e12),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e21)) )],[refute_6_17,refute_6_18]) ).
cnf(refute_6_20,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e12)
| h2(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e12))]]) ).
cnf(refute_6_21,plain,
( op2(e21,e21) != e23
| h2(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_6_19,refute_6_20]) ).
cnf(refute_6_22,plain,
( h1(e12) = e23
| h2(e12) = e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_6_16,refute_6_21]) ).
cnf(refute_6_23,plain,
( op2(e22,e22) != e23
| op2(e22,e22) != h3(e12)
| h3(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e12))]]) ).
cnf(refute_6_24,plain,
( op2(e22,e22) != e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_6_6,refute_6_23]) ).
cnf(refute_6_25,plain,
( h1(e12) = e23
| h2(e12) = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_22,refute_6_24]) ).
cnf(refute_6_26,plain,
( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(canonicalize,[],[normalize_6_14]) ).
cnf(refute_6_27,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e12)
| h1(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e12))]]) ).
cnf(refute_6_28,plain,
( op2(e20,e20) != e21
| h1(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_6_13,refute_6_27]) ).
cnf(refute_6_29,plain,
( h1(e12) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_6_26,refute_6_28]) ).
cnf(refute_6_30,plain,
( h1(e12) = e21
| h3(e12) = e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_6_29,refute_6_8]) ).
cnf(refute_6_31,plain,
e22 = op2(e23,e23),
inference(canonicalize,[],[normalize_6_16]) ).
cnf(refute_6_32,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_6_33,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_6_31,refute_6_32]) ).
cnf(refute_6_34,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[0],$fot(e22)]]) ).
cnf(refute_6_35,plain,
( op2(e23,e23) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_6_33,refute_6_34]) ).
cnf(refute_6_36,plain,
( e22 = e21
| h1(e12) = e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_30,refute_6_35]) ).
cnf(refute_6_37,plain,
e21 != e22,
inference(canonicalize,[],[normalize_6_18]) ).
cnf(refute_6_38,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_6_39,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_6_38,refute_6_37]) ).
cnf(refute_6_40,plain,
( h1(e12) = e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_6_36,refute_6_39]) ).
cnf(refute_6_41,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_6_20]) ).
cnf(refute_6_42,plain,
( h3(e12) != op2(e22,e23)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_6_43,plain,
( h3(e12) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_6_6,refute_6_42]) ).
cnf(refute_6_44,plain,
h3(e12) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_6_43,refute_6_41]) ).
cnf(refute_6_45,plain,
e21 = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_6_21]) ).
cnf(refute_6_46,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_6_47,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_6_48,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_6_46,refute_6_47]) ).
cnf(refute_6_49,plain,
op2(op2(e23,e23),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_6_33,refute_6_48]) ).
cnf(refute_6_50,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_6_51,plain,
( e21 != op2(op2(e23,e23),e23)
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e22,e23)) )],[refute_6_49,refute_6_50]) ).
cnf(refute_6_52,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_6_45,refute_6_51]) ).
cnf(refute_6_53,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_6_54,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_6_52,refute_6_53]) ).
cnf(refute_6_55,plain,
( h3(e12) != e21
| op2(e22,e23) != e21
| h3(e12) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_6_56,plain,
( h3(e12) != e21
| h3(e12) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_6_54,refute_6_55]) ).
cnf(refute_6_57,plain,
h3(e12) != e21,
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e23)) )],[refute_6_56,refute_6_44]) ).
cnf(refute_6_58,plain,
h1(e12) = e21,
inference(resolve,[$cnf( $equal(h3(e12),e21) )],[refute_6_40,refute_6_57]) ).
cnf(refute_6_59,plain,
( h1(e12) != e21
| h1(e12) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e23) ),[0],$fot(e21)]]) ).
cnf(refute_6_60,plain,
( h1(e12) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_6_58,refute_6_59]) ).
cnf(refute_6_61,plain,
( e21 = e23
| h2(e12) = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(h1(e12),e23) )],[refute_6_25,refute_6_60]) ).
cnf(refute_6_62,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_6_24]) ).
cnf(refute_6_63,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e12)
| h2(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e12))]]) ).
cnf(refute_6_64,plain,
( op2(e21,e21) != e20
| h2(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_6_19,refute_6_63]) ).
cnf(refute_6_65,plain,
( h2(e12) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_6_62,refute_6_64]) ).
cnf(refute_6_66,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e12)
| h3(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e12))]]) ).
cnf(refute_6_67,plain,
( op2(e22,e22) != e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_6_6,refute_6_66]) ).
cnf(refute_6_68,plain,
( h2(e12) = e20
| h3(e12) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_6_65,refute_6_67]) ).
cnf(refute_6_69,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_6_70,plain,
( op2(e23,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_6_33,refute_6_69]) ).
cnf(refute_6_71,plain,
( e22 = e20
| h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_68,refute_6_70]) ).
cnf(refute_6_72,plain,
e20 != e22,
inference(canonicalize,[],[normalize_6_25]) ).
cnf(refute_6_73,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_6_74,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_6_73,refute_6_72]) ).
cnf(refute_6_75,plain,
( h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_6_71,refute_6_74]) ).
cnf(refute_6_76,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_6_26]) ).
cnf(refute_6_77,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_6_78,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_6_6,refute_6_77]) ).
cnf(refute_6_79,plain,
h3(e12) != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_6_78,refute_6_76]) ).
cnf(refute_6_80,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_6_27]) ).
cnf(refute_6_81,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_6_82,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_6_83,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_6_81,refute_6_82]) ).
cnf(refute_6_84,plain,
op2(e23,op2(e23,e23)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_6_33,refute_6_83]) ).
cnf(refute_6_85,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_6_86,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e22)) )],[refute_6_84,refute_6_85]) ).
cnf(refute_6_87,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_6_80,refute_6_86]) ).
cnf(refute_6_88,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_6_89,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_6_87,refute_6_88]) ).
cnf(refute_6_90,plain,
( h3(e12) != e20
| op2(e23,e22) != e20
| h3(e12) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_6_91,plain,
( h3(e12) != e20
| h3(e12) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_6_89,refute_6_90]) ).
cnf(refute_6_92,plain,
h3(e12) != e20,
inference(resolve,[$cnf( $equal(h3(e12),op2(e23,e22)) )],[refute_6_91,refute_6_79]) ).
cnf(refute_6_93,plain,
h2(e12) = e20,
inference(resolve,[$cnf( $equal(h3(e12),e20) )],[refute_6_75,refute_6_92]) ).
cnf(refute_6_94,plain,
( h2(e12) != e20
| h2(e12) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e23) ),[0],$fot(e20)]]) ).
cnf(refute_6_95,plain,
( h2(e12) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_6_93,refute_6_94]) ).
cnf(refute_6_96,plain,
( e20 = e23
| e21 = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(h2(e12),e23) )],[refute_6_61,refute_6_95]) ).
cnf(refute_6_97,plain,
e20 != e23,
inference(canonicalize,[],[normalize_6_28]) ).
cnf(refute_6_98,plain,
( e21 = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_6_96,refute_6_97]) ).
cnf(refute_6_99,plain,
e21 != e23,
inference(canonicalize,[],[normalize_6_29]) ).
cnf(refute_6_100,plain,
h3(e12) = e23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_98,refute_6_99]) ).
cnf(refute_6_101,plain,
( h3(e12) != e21
| h3(e12) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e12),e21) ),[0],$fot(e23)]]) ).
cnf(refute_6_102,plain,
( h3(e12) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h3(e12),e23) )],[refute_6_100,refute_6_101]) ).
cnf(refute_6_103,plain,
( e23 = e21
| op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(h3(e12),e21) )],[refute_6_9,refute_6_102]) ).
cnf(refute_6_104,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_6_35]) ).
cnf(refute_6_105,plain,
h4(e12) = op2(e23,e23),
inference(canonicalize,[],[normalize_6_37]) ).
cnf(refute_6_106,plain,
( h4(e12) != op2(e23,e23)
| op2(e23,e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_6_107,plain,
( h4(e12) != op2(e23,e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_6_33,refute_6_106]) ).
cnf(refute_6_108,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e23)) )],[refute_6_105,refute_6_107]) ).
cnf(refute_6_109,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_6_110,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_111,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_6_109,refute_6_110]) ).
cnf(refute_6_112,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_6_108,refute_6_111]) ).
cnf(refute_6_113,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_6_38]) ).
cnf(refute_6_114,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_6_115,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_6_80,refute_6_114]) ).
cnf(refute_6_116,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_6_117,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_6_115,refute_6_116]) ).
cnf(refute_6_118,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_6_113,refute_6_117]) ).
cnf(refute_6_119,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_6_120,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_121,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_6_119,refute_6_120]) ).
cnf(refute_6_122,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_6_118,refute_6_121]) ).
cnf(refute_6_123,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_6_124,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_6_4,refute_6_123]) ).
cnf(refute_6_125,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_6_124:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_6_126,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_6_122,refute_6_125]) ).
cnf(refute_6_127,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_6_112,refute_6_126]) ).
cnf(refute_6_128,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_6_129,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_6_127,refute_6_128]) ).
cnf(refute_6_130,plain,
h4(op1(e10,e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_6_104,refute_6_129]) ).
cnf(refute_6_131,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_6_40]) ).
cnf(refute_6_132,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_6_42]) ).
cnf(refute_6_133,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_6_44]) ).
cnf(refute_6_134,plain,
e12 = op1(e13,e13),
inference(canonicalize,[],[normalize_6_45]) ).
cnf(refute_6_135,plain,
( e12 != op1(e13,e13)
| op1(e13,e13) = e12 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_6_136,plain,
op1(e13,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_6_134,refute_6_135]) ).
cnf(refute_6_137,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_6_138,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_6_139,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_6_137,refute_6_138]) ).
cnf(refute_6_140,plain,
op1(e13,op1(e13,e13)) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_6_136,refute_6_139]) ).
cnf(refute_6_141,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_6_142,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e12)) )],[refute_6_140,refute_6_141]) ).
cnf(refute_6_143,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_6_133,refute_6_142]) ).
cnf(refute_6_144,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_6_145,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_6_143,refute_6_144]) ).
cnf(refute_6_146,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_6_147,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_6_145,refute_6_146]) ).
cnf(refute_6_148,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_6_147,refute_6_132]) ).
cnf(refute_6_149,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_6_131,refute_6_148]) ).
cnf(refute_6_150,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_6_46]) ).
cnf(refute_6_151,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(canonicalize,[],[normalize_6_50]) ).
cnf(refute_6_152,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[0],$fot(e12)]]) ).
cnf(refute_6_153,plain,
( op1(e13,e13) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_6_136,refute_6_152]) ).
cnf(refute_6_154,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_151,refute_6_153]) ).
cnf(refute_6_155,plain,
e11 != e12,
inference(canonicalize,[],[normalize_6_52]) ).
cnf(refute_6_156,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_6_157,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_6_156,refute_6_155]) ).
cnf(refute_6_158,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_6_154,refute_6_157]) ).
cnf(refute_6_159,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_6_53]) ).
cnf(refute_6_160,plain,
e11 = op1(op1(e13,e13),e13),
inference(canonicalize,[],[normalize_6_54]) ).
cnf(refute_6_161,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_6_162,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(e12)]]) ).
cnf(refute_6_163,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_6_161,refute_6_162]) ).
cnf(refute_6_164,plain,
op1(op1(e13,e13),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_6_136,refute_6_163]) ).
cnf(refute_6_165,plain,
( e11 != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_6_166,plain,
( e11 != op1(op1(e13,e13),e13)
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e12,e13)) )],[refute_6_164,refute_6_165]) ).
cnf(refute_6_167,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),e13)) )],[refute_6_160,refute_6_166]) ).
cnf(refute_6_168,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_6_169,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_6_167,refute_6_168]) ).
cnf(refute_6_170,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_171,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_6_169,refute_6_170]) ).
cnf(refute_6_172,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_6_171,refute_6_159]) ).
cnf(refute_6_173,plain,
op1(e10,e10) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_6_158,refute_6_172]) ).
cnf(refute_6_174,plain,
( e11 != op1(e10,e12)
| op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_6_175,plain,
( e11 != op1(e10,e12)
| op1(e10,e10) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_6_173,refute_6_174]) ).
cnf(refute_6_176,plain,
e11 != op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_6_175,refute_6_150]) ).
cnf(refute_6_177,plain,
( op1(e10,e12) != e11
| e11 = op1(e10,e12) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(e11))]]) ).
cnf(refute_6_178,plain,
op1(e10,e12) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e12)) )],[refute_6_177,refute_6_176]) ).
cnf(refute_6_179,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_149,refute_6_178]) ).
cnf(refute_6_180,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e13
| h4(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e13)]]) ).
cnf(refute_6_181,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e13) = op2(e20,e22)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_6_179,refute_6_180]) ).
cnf(refute_6_182,plain,
( h4(e13) = op2(e20,e22)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_6_130,refute_6_181]) ).
cnf(refute_6_183,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_6_55]) ).
cnf(refute_6_184,plain,
( h4(e13) != e23
| h4(e13) != op2(e20,e22)
| e23 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e20,e22)) ),[0],$fot(e23)]]) ).
cnf(refute_6_185,plain,
( h4(e13) != op2(e20,e22)
| e23 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_6_183,refute_6_184]) ).
cnf(refute_6_186,plain,
( e23 = op2(e20,e22)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e22)) )],[refute_6_182,refute_6_185]) ).
cnf(refute_6_187,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_6_56]) ).
cnf(refute_6_188,plain,
( op2(e20,e22) != h3(e12)
| op2(e22,e22) != h3(e12)
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e12))]]) ).
cnf(refute_6_189,plain,
( op2(e20,e22) != h3(e12)
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_6_6,refute_6_188]) ).
cnf(refute_6_190,plain,
op2(e20,e22) != h3(e12),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_6_189,refute_6_187]) ).
cnf(refute_6_191,plain,
( h3(e12) != e23
| op2(e20,e22) != e23
| op2(e20,e22) = h3(e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h3(e12)) ),[1],$fot(e23)]]) ).
cnf(refute_6_192,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = h3(e12) ),
inference(resolve,[$cnf( $equal(h3(e12),e23) )],[refute_6_100,refute_6_191]) ).
cnf(refute_6_193,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e12)) )],[refute_6_192,refute_6_190]) ).
cnf(refute_6_194,plain,
( e23 != op2(e20,e22)
| op2(e20,e22) = e23 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_6_195,plain,
e23 != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_6_194,refute_6_193]) ).
cnf(refute_6_196,plain,
op1(e10,e12) = e12,
inference(resolve,[$cnf( $equal(e23,op2(e20,e22)) )],[refute_6_186,refute_6_195]) ).
cnf(refute_6_197,plain,
h4(op1(e10,e12)) = h4(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_6_198,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| op1(e10,e12) != e12
| h4(op1(e10,e12)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e12)]]) ).
cnf(refute_6_199,plain,
( op1(e10,e12) != e12
| h4(op1(e10,e12)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_6_197,refute_6_198]) ).
cnf(refute_6_200,plain,
h4(op1(e10,e12)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_6_196,refute_6_199]) ).
cnf(refute_6_201,plain,
( h4(e12) != e22
| h4(op1(e10,e12)) != h4(e12)
| h4(op1(e10,e12)) = e22 ),
inference(subst,[],[refute_6_124:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_6_202,plain,
( h4(e12) != e22
| h4(op1(e10,e12)) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e12)) )],[refute_6_200,refute_6_201]) ).
cnf(refute_6_203,plain,
h4(op1(e10,e12)) = e22,
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_6_108,refute_6_202]) ).
cnf(refute_6_204,plain,
( h4(op1(e10,e12)) != e22
| h4(op1(e10,e12)) != op2(e20,e22)
| e22 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(e22)]]) ).
cnf(refute_6_205,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| e22 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e22) )],[refute_6_203,refute_6_204]) ).
cnf(refute_6_206,plain,
e22 = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_6_130,refute_6_205]) ).
cnf(refute_6_207,plain,
( e22 != op2(e20,e22)
| op2(e20,e22) = e22 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_6_208,plain,
op2(e20,e22) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e20,e22)) )],[refute_6_206,refute_6_207]) ).
cnf(refute_6_209,plain,
( op2(e20,e22) != e21
| op2(e20,e22) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[0],$fot(e22)]]) ).
cnf(refute_6_210,plain,
( op2(e20,e22) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_6_208,refute_6_209]) ).
cnf(refute_6_211,plain,
( e22 = e21
| e23 = e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_6_103,refute_6_210]) ).
cnf(refute_6_212,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e21) ),[0],$fot(e20)]]) ).
cnf(refute_6_213,plain,
( op2(e23,e22) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_6_89,refute_6_212]) ).
cnf(refute_6_214,plain,
( e20 = e21
| e22 = e21
| e23 = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_6_211,refute_6_213]) ).
cnf(refute_6_215,plain,
e20 != e21,
inference(canonicalize,[],[normalize_6_57]) ).
cnf(refute_6_216,plain,
( e22 = e21
| e23 = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_6_214,refute_6_215]) ).
cnf(refute_6_217,plain,
( e23 = e21
| op2(e21,e22) = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_6_216,refute_6_39]) ).
cnf(refute_6_218,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_6_219,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_218,refute_6_99]) ).
cnf(refute_6_220,plain,
op2(e21,e22) = e21,
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_6_217,refute_6_219]) ).
cnf(refute_6_221,plain,
h4(op1(e11,e12)) != op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_6_58]) ).
cnf(refute_6_222,plain,
op2(e21,h4(e12)) = op2(e21,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).
cnf(refute_6_223,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_224,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) )],[refute_6_222,refute_6_223]) ).
cnf(refute_6_225,plain,
op2(e21,h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_6_108,refute_6_224]) ).
cnf(refute_6_226,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_6_59]) ).
cnf(refute_6_227,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = e21 ),
inference(subst,[],[refute_6_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(op2(e23,e23),e23)))]]) ).
cnf(refute_6_228,plain,
op2(op2(e23,e23),e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_6_45,refute_6_227]) ).
cnf(refute_6_229,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_6_230,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),e21) )],[refute_6_228,refute_6_229]) ).
cnf(refute_6_231,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),e23)) )],[refute_6_226,refute_6_230]) ).
cnf(refute_6_232,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_6_233,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_234,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_6_232,refute_6_233]) ).
cnf(refute_6_235,plain,
op2(h4(e11),h4(e12)) = op2(e21,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_231,refute_6_234]) ).
cnf(refute_6_236,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) != op2(e21,h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(subst,[],[refute_6_124:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).
cnf(refute_6_237,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,h4(e12))) )],[refute_6_235,refute_6_236]) ).
cnf(refute_6_238,plain,
op2(h4(e11),h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e22)) )],[refute_6_225,refute_6_237]) ).
cnf(refute_6_239,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) != op2(e21,e22)
| h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_6_240,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,e22)) )],[refute_6_238,refute_6_239]) ).
cnf(refute_6_241,plain,
h4(op1(e11,e12)) != op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_6_240,refute_6_221]) ).
cnf(refute_6_242,plain,
op1(e11,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_6_60]) ).
cnf(refute_6_243,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(canonicalize,[],[normalize_6_61]) ).
cnf(refute_6_244,plain,
op1(e11,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_6_62]) ).
cnf(refute_6_245,plain,
( op1(e11,e12) != e10
| op1(e13,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_6_246,plain,
( op1(e11,e12) != e10
| op1(e11,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_6_145,refute_6_245]) ).
cnf(refute_6_247,plain,
op1(e11,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_6_246,refute_6_244]) ).
cnf(refute_6_248,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_6_243,refute_6_247]) ).
cnf(refute_6_249,plain,
op1(e10,e12) != op1(e11,e12),
inference(canonicalize,[],[normalize_6_63]) ).
cnf(refute_6_250,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) != e12
| op1(e10,e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_6_251,plain,
( e12 != op1(e11,e12)
| op1(e10,e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_6_196,refute_6_250]) ).
cnf(refute_6_252,plain,
e12 != op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_6_251,refute_6_249]) ).
cnf(refute_6_253,plain,
( op1(e11,e12) != e12
| e12 = op1(e11,e12) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(e12))]]) ).
cnf(refute_6_254,plain,
op1(e11,e12) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e11,e12)) )],[refute_6_253,refute_6_252]) ).
cnf(refute_6_255,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_6_248,refute_6_254]) ).
cnf(refute_6_256,plain,
( e13 != op1(e12,e12)
| op1(e11,e12) != e13
| op1(e11,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e13) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_6_257,plain,
( e13 != op1(e12,e12)
| op1(e11,e12) = e11
| op1(e11,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_6_255,refute_6_256]) ).
cnf(refute_6_258,plain,
( e13 != op1(e12,e12)
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_6_257,refute_6_242]) ).
cnf(refute_6_259,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(canonicalize,[],[normalize_6_64]) ).
cnf(refute_6_260,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_6_65]) ).
cnf(refute_6_261,plain,
( op1(e12,e12) != e10
| op1(e13,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_6_262,plain,
( op1(e12,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_6_145,refute_6_261]) ).
cnf(refute_6_263,plain,
op1(e12,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_6_262,refute_6_260]) ).
cnf(refute_6_264,plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_6_259,refute_6_263]) ).
cnf(refute_6_265,plain,
( op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_6_264,refute_6_172]) ).
cnf(refute_6_266,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_6_66]) ).
cnf(refute_6_267,plain,
( e12 != op1(e12,e12)
| op1(e10,e12) != e12
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[1],$fot(op1(e12,e12))]]) ).
cnf(refute_6_268,plain,
( e12 != op1(e12,e12)
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_6_196,refute_6_267]) ).
cnf(refute_6_269,plain,
e12 != op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_6_268,refute_6_266]) ).
cnf(refute_6_270,plain,
( op1(e12,e12) != e12
| e12 = op1(e12,e12) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(op1(e12,e12))),bind(Y,$fot(e12))]]) ).
cnf(refute_6_271,plain,
op1(e12,e12) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e12,e12)) )],[refute_6_270,refute_6_269]) ).
cnf(refute_6_272,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(op1(e12,e12),e12) )],[refute_6_265,refute_6_271]) ).
cnf(refute_6_273,plain,
( e13 != e13
| op1(e12,e12) != e13
| e13 = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e13,op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_6_274,plain,
( e13 != e13
| e13 = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_272,refute_6_273]) ).
cnf(refute_6_275,plain,
( e13 != e13
| op1(e11,e12) = e11 ),
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_6_274,refute_6_258]) ).
cnf(refute_6_276,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_6_277,plain,
op1(e11,e12) = e11,
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_276,refute_6_275]) ).
cnf(refute_6_278,plain,
h4(op1(e11,e12)) = h4(op1(e11,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_6_279,plain,
( h4(op1(e11,e12)) != h4(op1(e11,e12))
| op1(e11,e12) != e11
| h4(op1(e11,e12)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) ),[1,0],$fot(e11)]]) ).
cnf(refute_6_280,plain,
( op1(e11,e12) != e11
| h4(op1(e11,e12)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) )],[refute_6_278,refute_6_279]) ).
cnf(refute_6_281,plain,
h4(op1(e11,e12)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_6_277,refute_6_280]) ).
cnf(refute_6_282,plain,
( h4(e11) != e21
| h4(op1(e11,e12)) != h4(e11)
| h4(op1(e11,e12)) = e21 ),
inference(subst,[],[refute_6_124:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_6_283,plain,
( h4(e11) != e21
| h4(op1(e11,e12)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e11)) )],[refute_6_281,refute_6_282]) ).
cnf(refute_6_284,plain,
h4(op1(e11,e12)) = e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_6_231,refute_6_283]) ).
cnf(refute_6_285,plain,
( e21 != op2(e21,e22)
| h4(op1(e11,e12)) != e21
| h4(op1(e11,e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),e21) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_6_286,plain,
( e21 != op2(e21,e22)
| h4(op1(e11,e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e21) )],[refute_6_284,refute_6_285]) ).
cnf(refute_6_287,plain,
e21 != op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_6_286,refute_6_241]) ).
cnf(refute_6_288,plain,
( op2(e21,e22) != e21
| e21 = op2(e21,e22) ),
inference(subst,[],[refute_6_4:[bind(X,$fot(op2(e21,e22))),bind(Y,$fot(e21))]]) ).
cnf(refute_6_289,plain,
op2(e21,e22) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_6_288,refute_6_287]) ).
cnf(refute_6_290,plain,
$false,
inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_6_220,refute_6_289]) ).
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(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = 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(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = 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(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = 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(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = 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(op2(e23,e23),e23),
inference(conjunct,[],[normalize_7_9]) ).
fof(normalize_7_12,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_7_13,plain,
e21 = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_14,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_7_15,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_7_14]) ).
fof(normalize_7_16,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_17,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_18,plain,
e22 = op2(e23,e23),
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_19,plain,
op2(e21,e21) != op2(e21,e23),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_20,plain,
h2(e12) = op2(e21,e21),
inference(conjunct,[],[normalize_7_3]) ).
fof(normalize_7_21,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22 ) )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_7_22,plain,
( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ),
inference(conjunct,[],[normalize_7_21]) ).
fof(normalize_7_23,plain,
( ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e20) != e23 )
& ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e23) = e20 )
& ( op2(e21,e20) != e21
| op2(e23,e20) != e23
| op2(e22,e22) = e20 )
& ( op2(e21,e20) != e21
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e20) != e22
| op2(e23,e20) != e23
| op2(e21,e21) = e20 )
& ( op2(e22,e20) != e22
| op2(e21,e21) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) != e23
| op2(e21,e21) = e20
| op2(e22,e22) = e20 )
& ( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ) ),
inference(clausify,[],[normalize_7_22]) ).
fof(normalize_7_24,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_7_23]) ).
fof(normalize_7_25,plain,
h3(e12) = op2(e22,e22),
inference(conjunct,[],[normalize_7_5]) ).
fof(normalize_7_26,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_7_27,plain,
e20 != e22,
inference(conjunct,[],[normalize_7_26]) ).
fof(normalize_7_28,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_29,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_7_12]) ).
fof(normalize_7_30,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_31,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_32,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_33,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_7_34,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_35,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_7_36,plain,
e12 = op1(e13,e13),
inference(conjunct,[],[normalize_7_35]) ).
fof(normalize_7_37,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_38,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12 ) )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_7_39,plain,
( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ),
inference(conjunct,[],[normalize_7_38]) ).
fof(normalize_7_40,plain,
( ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e10) != e13 )
& ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e13) = e10 )
& ( op1(e11,e10) != e11
| op1(e13,e10) != e13
| op1(e12,e12) = e10 )
& ( op1(e11,e10) != e11
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e10) != e12
| op1(e13,e10) != e13
| op1(e11,e11) = e10 )
& ( op1(e12,e10) != e12
| op1(e11,e11) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) != e13
| op1(e11,e11) = e10
| op1(e12,e12) = e10 )
& ( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ) ),
inference(clausify,[],[normalize_7_39]) ).
fof(normalize_7_41,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_7_40]) ).
fof(normalize_7_42,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_7_43,plain,
e10 != e12,
inference(conjunct,[],[normalize_7_42]) ).
fof(normalize_7_44,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_45,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_7_35]) ).
fof(normalize_7_46,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_7_33]) ).
fof(normalize_7_47,plain,
e11 = op1(op1(e13,e13),e13),
inference(conjunct,[],[normalize_7_35]) ).
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( $equal(h4(e13),e23) )],[refute_7_1,refute_7_4]) ).
cnf(refute_7_6,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_7_11]) ).
cnf(refute_7_7,plain,
e21 = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_7_13]) ).
cnf(refute_7_8,plain,
X = X,
introduced(tautology,[refl,[$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( $equal(X,X) )],[refute_7_8,refute_7_9]) ).
cnf(refute_7_11,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = e21 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e21)),bind(Y,$fot(op2(op2(e23,e23),e23)))]]) ).
cnf(refute_7_12,plain,
op2(op2(e23,e23),e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_7_7,refute_7_11]) ).
cnf(refute_7_13,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_7_14,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),e21) )],[refute_7_12,refute_7_13]) ).
cnf(refute_7_15,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),e23)) )],[refute_7_6,refute_7_14]) ).
cnf(refute_7_16,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
introduced(tautology,[refl,[$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( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_7_26,refute_7_0]) ).
cnf(refute_7_28,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_7_15]) ).
cnf(refute_7_29,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_7_17]) ).
cnf(refute_7_30,plain,
e22 = op2(e23,e23),
inference(canonicalize,[],[normalize_7_18]) ).
cnf(refute_7_31,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_7_32,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_7_30,refute_7_31]) ).
cnf(refute_7_33,plain,
( op2(e21,e23) != e22
| op2(e23,e23) != e22
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_7_34,plain,
( op2(e21,e23) != e22
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_7_32,refute_7_33]) ).
cnf(refute_7_35,plain,
op2(e21,e23) != e22,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_7_34,refute_7_29]) ).
cnf(refute_7_36,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_7_28,refute_7_35]) ).
cnf(refute_7_37,plain,
op2(e21,e21) != op2(e21,e23),
inference(canonicalize,[],[normalize_7_19]) ).
cnf(refute_7_38,plain,
h2(e12) = op2(e21,e21),
inference(canonicalize,[],[normalize_7_20]) ).
cnf(refute_7_39,plain,
( h2(e12) != op2(e21,e21)
| op2(e21,e21) = h2(e12) ),
inference(subst,[],[refute_7_10:[bind(X,$fot(h2(e12))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_7_40,plain,
op2(e21,e21) = h2(e12),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e21)) )],[refute_7_38,refute_7_39]) ).
cnf(refute_7_41,plain,
( h2(e12) != op2(e21,e23)
| op2(e21,e21) != h2(e12)
| op2(e21,e21) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e12)) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_7_42,plain,
( h2(e12) != op2(e21,e23)
| op2(e21,e21) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_7_40,refute_7_41]) ).
cnf(refute_7_43,plain,
h2(e12) != op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_7_42,refute_7_37]) ).
cnf(refute_7_44,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_7_24]) ).
cnf(refute_7_45,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e12)
| h2(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e12))]]) ).
cnf(refute_7_46,plain,
( op2(e21,e21) != e20
| h2(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_7_40,refute_7_45]) ).
cnf(refute_7_47,plain,
( h2(e12) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_7_44,refute_7_46]) ).
cnf(refute_7_48,plain,
h3(e12) = op2(e22,e22),
inference(canonicalize,[],[normalize_7_25]) ).
cnf(refute_7_49,plain,
( h3(e12) != op2(e22,e22)
| op2(e22,e22) = h3(e12) ),
inference(subst,[],[refute_7_10:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_7_50,plain,
op2(e22,e22) = h3(e12),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e22)) )],[refute_7_48,refute_7_49]) ).
cnf(refute_7_51,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e12)
| h3(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e12))]]) ).
cnf(refute_7_52,plain,
( op2(e22,e22) != e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_7_50,refute_7_51]) ).
cnf(refute_7_53,plain,
( h2(e12) = e20
| h3(e12) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_7_47,refute_7_52]) ).
cnf(refute_7_54,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_7_55,plain,
( op2(e23,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_7_32,refute_7_54]) ).
cnf(refute_7_56,plain,
( e22 = e20
| h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_7_53,refute_7_55]) ).
cnf(refute_7_57,plain,
e20 != e22,
inference(canonicalize,[],[normalize_7_27]) ).
cnf(refute_7_58,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_7_59,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_7_58,refute_7_57]) ).
cnf(refute_7_60,plain,
( h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_7_56,refute_7_59]) ).
cnf(refute_7_61,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_7_28]) ).
cnf(refute_7_62,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_7_63,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_7_50,refute_7_62]) ).
cnf(refute_7_64,plain,
h3(e12) != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_7_63,refute_7_61]) ).
cnf(refute_7_65,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_7_29]) ).
cnf(refute_7_66,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_7_67,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_7_68,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_7_66,refute_7_67]) ).
cnf(refute_7_69,plain,
op2(e23,op2(e23,e23)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_7_32,refute_7_68]) ).
cnf(refute_7_70,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_7_71,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e22)) )],[refute_7_69,refute_7_70]) ).
cnf(refute_7_72,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_7_65,refute_7_71]) ).
cnf(refute_7_73,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_7_74,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_7_72,refute_7_73]) ).
cnf(refute_7_75,plain,
( h3(e12) != e20
| op2(e23,e22) != e20
| h3(e12) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_7_76,plain,
( h3(e12) != e20
| h3(e12) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_7_74,refute_7_75]) ).
cnf(refute_7_77,plain,
h3(e12) != e20,
inference(resolve,[$cnf( $equal(h3(e12),op2(e23,e22)) )],[refute_7_76,refute_7_64]) ).
cnf(refute_7_78,plain,
h2(e12) = e20,
inference(resolve,[$cnf( $equal(h3(e12),e20) )],[refute_7_60,refute_7_77]) ).
cnf(refute_7_79,plain,
( e20 != op2(e21,e23)
| h2(e12) != e20
| h2(e12) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e20) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_7_80,plain,
( e20 != op2(e21,e23)
| h2(e12) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_7_78,refute_7_79]) ).
cnf(refute_7_81,plain,
e20 != op2(e21,e23),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e23)) )],[refute_7_80,refute_7_43]) ).
cnf(refute_7_82,plain,
( op2(e21,e23) != e20
| e20 = op2(e21,e23) ),
inference(subst,[],[refute_7_10:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(e20))]]) ).
cnf(refute_7_83,plain,
op2(e21,e23) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e23)) )],[refute_7_82,refute_7_81]) ).
cnf(refute_7_84,plain,
( op2(e21,e23) = e21
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_7_36,refute_7_83]) ).
cnf(refute_7_85,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_7_30]) ).
cnf(refute_7_86,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_7_87,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_7_88,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_7_86,refute_7_87]) ).
cnf(refute_7_89,plain,
op2(op2(e23,e23),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_7_32,refute_7_88]) ).
cnf(refute_7_90,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_7_91,plain,
( e21 != op2(op2(e23,e23),e23)
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e22,e23)) )],[refute_7_89,refute_7_90]) ).
cnf(refute_7_92,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_7_7,refute_7_91]) ).
cnf(refute_7_93,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_7_94,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_7_92,refute_7_93]) ).
cnf(refute_7_95,plain,
( op2(e21,e23) != e21
| op2(e22,e23) != e21
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_7_96,plain,
( op2(e21,e23) != e21
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_7_94,refute_7_95]) ).
cnf(refute_7_97,plain,
op2(e21,e23) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_7_96,refute_7_85]) ).
cnf(refute_7_98,plain,
op2(e21,e23) = e23,
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_7_84,refute_7_97]) ).
cnf(refute_7_99,plain,
( h4(op1(e11,e13)) != e23
| op2(e21,e23) != e23
| h4(op1(e11,e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e13)),op2(e21,e23)) ),[1],$fot(e23)]]) ).
cnf(refute_7_100,plain,
( h4(op1(e11,e13)) != e23
| h4(op1(e11,e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_7_98,refute_7_99]) ).
cnf(refute_7_101,plain,
h4(op1(e11,e13)) != e23,
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(e21,e23)) )],[refute_7_100,refute_7_27]) ).
cnf(refute_7_102,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_7_32]) ).
cnf(refute_7_103,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_7_34]) ).
cnf(refute_7_104,plain,
e12 = op1(e13,e13),
inference(canonicalize,[],[normalize_7_36]) ).
cnf(refute_7_105,plain,
( e12 != op1(e13,e13)
| op1(e13,e13) = e12 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_7_106,plain,
op1(e13,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_7_104,refute_7_105]) ).
cnf(refute_7_107,plain,
( op1(e11,e13) != e12
| op1(e13,e13) != e12
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_7_108,plain,
( op1(e11,e13) != e12
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_7_106,refute_7_107]) ).
cnf(refute_7_109,plain,
op1(e11,e13) != e12,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_7_108,refute_7_103]) ).
cnf(refute_7_110,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_7_102,refute_7_109]) ).
cnf(refute_7_111,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_7_37]) ).
cnf(refute_7_112,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_7_41]) ).
cnf(refute_7_113,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_7_114,plain,
( op1(e13,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_7_106,refute_7_113]) ).
cnf(refute_7_115,plain,
( e12 = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_7_112,refute_7_114]) ).
cnf(refute_7_116,plain,
e10 != e12,
inference(canonicalize,[],[normalize_7_43]) ).
cnf(refute_7_117,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_7_118,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_7_117,refute_7_116]) ).
cnf(refute_7_119,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_7_115,refute_7_118]) ).
cnf(refute_7_120,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_7_44]) ).
cnf(refute_7_121,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_7_45]) ).
cnf(refute_7_122,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_7_123,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_7_124,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_7_122,refute_7_123]) ).
cnf(refute_7_125,plain,
op1(e13,op1(e13,e13)) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_7_106,refute_7_124]) ).
cnf(refute_7_126,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_7_127,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e12)) )],[refute_7_125,refute_7_126]) ).
cnf(refute_7_128,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_7_121,refute_7_127]) ).
cnf(refute_7_129,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_7_130,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_7_128,refute_7_129]) ).
cnf(refute_7_131,plain,
( op1(e12,e12) != e10
| op1(e13,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_7_132,plain,
( op1(e12,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_7_130,refute_7_131]) ).
cnf(refute_7_133,plain,
op1(e12,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_7_132,refute_7_120]) ).
cnf(refute_7_134,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_7_119,refute_7_133]) ).
cnf(refute_7_135,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) != e10
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_7_136,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_7_134,refute_7_135]) ).
cnf(refute_7_137,plain,
e10 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_7_136,refute_7_111]) ).
cnf(refute_7_138,plain,
( op1(e11,e13) != e10
| e10 = op1(e11,e13) ),
inference(subst,[],[refute_7_10:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e10))]]) ).
cnf(refute_7_139,plain,
op1(e11,e13) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e13)) )],[refute_7_138,refute_7_137]) ).
cnf(refute_7_140,plain,
( op1(e11,e13) = e11
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_7_110,refute_7_139]) ).
cnf(refute_7_141,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_7_46]) ).
cnf(refute_7_142,plain,
e11 = op1(op1(e13,e13),e13),
inference(canonicalize,[],[normalize_7_47]) ).
cnf(refute_7_143,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_7_144,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(e12)]]) ).
cnf(refute_7_145,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_7_143,refute_7_144]) ).
cnf(refute_7_146,plain,
op1(op1(e13,e13),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_7_106,refute_7_145]) ).
cnf(refute_7_147,plain,
( e11 != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_7_148,plain,
( e11 != op1(op1(e13,e13),e13)
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e12,e13)) )],[refute_7_146,refute_7_147]) ).
cnf(refute_7_149,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),e13)) )],[refute_7_142,refute_7_148]) ).
cnf(refute_7_150,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_7_10:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_7_151,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_7_149,refute_7_150]) ).
cnf(refute_7_152,plain,
( op1(e11,e13) != e11
| op1(e12,e13) != e11
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_7_153,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_7_151,refute_7_152]) ).
cnf(refute_7_154,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_7_153,refute_7_141]) ).
cnf(refute_7_155,plain,
op1(e11,e13) = e13,
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_7_140,refute_7_154]) ).
cnf(refute_7_156,plain,
h4(op1(e11,e13)) = h4(op1(e11,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e13)))]]) ).
cnf(refute_7_157,plain,
( h4(op1(e11,e13)) != h4(op1(e11,e13))
| op1(e11,e13) != e13
| h4(op1(e11,e13)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) ),[1,0],$fot(e13)]]) ).
cnf(refute_7_158,plain,
( op1(e11,e13) != e13
| h4(op1(e11,e13)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) )],[refute_7_156,refute_7_157]) ).
cnf(refute_7_159,plain,
h4(op1(e11,e13)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_7_155,refute_7_158]) ).
cnf(refute_7_160,plain,
( h4(e13) != e23
| h4(op1(e11,e13)) != h4(e13)
| h4(op1(e11,e13)) = e23 ),
inference(subst,[],[refute_7_21:[bind(X,$fot(h4(op1(e11,e13)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_7_161,plain,
( h4(e13) != e23
| h4(op1(e11,e13)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(e13)) )],[refute_7_159,refute_7_160]) ).
cnf(refute_7_162,plain,
h4(op1(e11,e13)) = e23,
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_1,refute_7_161]) ).
cnf(refute_7_163,plain,
( e23 != e23
| h4(op1(e11,e13)) != e23
| h4(op1(e11,e13)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),e23) ),[1],$fot(e23)]]) ).
cnf(refute_7_164,plain,
( e23 != e23
| h4(op1(e11,e13)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),e23) )],[refute_7_162,refute_7_163]) ).
cnf(refute_7_165,plain,
e23 != e23,
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),e23) )],[refute_7_164,refute_7_101]) ).
cnf(refute_7_166,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_7_167,plain,
$false,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_166,refute_7_165]) ).
fof(negate_8_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) )
=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
inference(negate,[],[subgoal_8]) ).
fof(normalize_8_0,plain,
( ( op2(e20,e20) = e20
| op2(e20,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_1,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(conjunct,[],[normalize_8_0]) ).
fof(normalize_8_2,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_3,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = op2(e20,e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_8_4,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_8_3]) ).
fof(normalize_8_5,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = op2(e21,e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_8_6,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_8_5]) ).
fof(normalize_8_7,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_8_8,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_9,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_2,normalize_8_4,normalize_8_6,normalize_8_8]) ).
fof(normalize_8_10,plain,
h4(op1(e12,e10)) != op2(h4(e12),h4(e10)),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_11,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_8_12,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_8_11]) ).
fof(normalize_8_13,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_8_14,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_8_13]) ).
fof(normalize_8_15,plain,
h4(e12) = op2(e23,e23),
inference(conjunct,[],[normalize_8_11]) ).
fof(normalize_8_16,plain,
e22 = op2(e23,e23),
inference(conjunct,[],[normalize_8_13]) ).
fof(normalize_8_17,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_18,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_8_17]) ).
fof(normalize_8_19,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_20,plain,
op1(e12,e10) != op1(e12,e13),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_21,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_8_22,plain,
e11 = op1(op1(e13,e13),e13),
inference(conjunct,[],[normalize_8_21]) ).
fof(normalize_8_23,plain,
e12 = op1(e13,e13),
inference(conjunct,[],[normalize_8_21]) ).
fof(normalize_8_24,plain,
op1(e11,e10) != op1(e12,e10),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_25,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_26,plain,
op2(e21,e20) != op2(e21,e22),
inference(conjunct,[],[normalize_8_25]) ).
fof(normalize_8_27,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(conjunct,[],[normalize_8_5]) ).
fof(normalize_8_28,plain,
h2(e12) = op2(e21,e21),
inference(conjunct,[],[normalize_8_5]) ).
fof(normalize_8_29,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22 ) )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_8_30,plain,
( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ),
inference(conjunct,[],[normalize_8_29]) ).
fof(normalize_8_31,plain,
( ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e20) != e23 )
& ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e23) = e20 )
& ( op2(e21,e20) != e21
| op2(e23,e20) != e23
| op2(e22,e22) = e20 )
& ( op2(e21,e20) != e21
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e20) != e22
| op2(e23,e20) != e23
| op2(e21,e21) = e20 )
& ( op2(e22,e20) != e22
| op2(e21,e21) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) != e23
| op2(e21,e21) = e20
| op2(e22,e22) = e20 )
& ( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ) ),
inference(clausify,[],[normalize_8_30]) ).
fof(normalize_8_32,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_8_31]) ).
fof(normalize_8_33,plain,
h3(e12) = op2(e22,e22),
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_34,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_8_35,plain,
e20 != e22,
inference(conjunct,[],[normalize_8_34]) ).
fof(normalize_8_36,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_8_25]) ).
fof(normalize_8_37,plain,
h1(e11) = op2(op2(e20,e20),e20),
inference(conjunct,[],[normalize_8_3]) ).
fof(normalize_8_38,plain,
h1(e12) = op2(e20,e20),
inference(conjunct,[],[normalize_8_3]) ).
fof(normalize_8_39,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_40,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_8_11]) ).
fof(normalize_8_41,plain,
e21 = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_8_13]) ).
fof(normalize_8_42,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12 ) )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_8_43,plain,
( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) ),
inference(conjunct,[],[normalize_8_42]) ).
fof(normalize_8_44,plain,
( ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e11) != e13 )
& ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e13) = e11 )
& ( op1(e10,e11) != e10
| op1(e13,e11) != e13
| op1(e12,e12) = e11 )
& ( op1(e10,e11) != e10
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e11) != e12
| op1(e13,e11) != e13
| op1(e10,e10) = e11 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e12,e12) = e11 )
& ( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ) ),
inference(clausify,[],[normalize_8_43]) ).
fof(normalize_8_45,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(conjunct,[],[normalize_8_44]) ).
fof(normalize_8_46,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_8_47,plain,
e11 != e12,
inference(conjunct,[],[normalize_8_46]) ).
fof(normalize_8_48,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_49,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_50,plain,
h2(e11) = op2(op2(e21,e21),e21),
inference(conjunct,[],[normalize_8_5]) ).
fof(normalize_8_51,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_8_3]) ).
fof(normalize_8_52,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_53,plain,
op1(e12,e10) != op1(e12,e11),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_54,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_55,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(conjunct,[],[normalize_8_54]) ).
fof(normalize_8_56,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_57,plain,
( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ),
inference(conjunct,[],[normalize_8_42]) ).
fof(normalize_8_58,plain,
( ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e10) != e13 )
& ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e13) = e10 )
& ( op1(e11,e10) != e11
| op1(e13,e10) != e13
| op1(e12,e12) = e10 )
& ( op1(e11,e10) != e11
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e10) != e12
| op1(e13,e10) != e13
| op1(e11,e11) = e10 )
& ( op1(e12,e10) != e12
| op1(e11,e11) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) != e13
| op1(e11,e11) = e10
| op1(e12,e12) = e10 )
& ( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ) ),
inference(clausify,[],[normalize_8_57]) ).
fof(normalize_8_59,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_8_58]) ).
fof(normalize_8_60,plain,
e10 != e12,
inference(conjunct,[],[normalize_8_46]) ).
fof(normalize_8_61,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_62,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_8_21]) ).
fof(normalize_8_63,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(conjunct,[],[normalize_8_54]) ).
fof(normalize_8_64,plain,
op1(e13,e10) != op1(e13,e13),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_65,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_66,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(conjunct,[],[normalize_8_54]) ).
fof(normalize_8_67,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_68,plain,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_8_69,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_8_68]) ).
fof(normalize_8_70,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_71,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_8_11]) ).
fof(normalize_8_72,plain,
op1(e10,e13) != op1(e11,e13),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_73,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_8_17]) ).
fof(normalize_8_74,plain,
op1(e11,e11) != op1(e11,e13),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_75,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_76,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_8_17]) ).
fof(normalize_8_77,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_78,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_79,plain,
e20 != e23,
inference(conjunct,[],[normalize_8_34]) ).
fof(normalize_8_80,plain,
e21 != e23,
inference(conjunct,[],[normalize_8_34]) ).
fof(normalize_8_81,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_8_25]) ).
fof(normalize_8_82,plain,
( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) ),
inference(conjunct,[],[normalize_8_29]) ).
fof(normalize_8_83,plain,
( ( op2(e20,e23) != e20
| op2(e21,e23) != e21
| op2(e22,e23) != e22 )
& ( op2(e20,e23) != e20
| op2(e21,e23) != e21
| op2(e22,e22) = e23 )
& ( op2(e20,e23) != e20
| op2(e22,e23) != e22
| op2(e21,e21) = e23 )
& ( op2(e20,e23) != e20
| op2(e21,e21) = e23
| op2(e22,e22) = e23 )
& ( op2(e21,e23) != e21
| op2(e22,e23) != e22
| op2(e20,e20) = e23 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e22,e22) = e23 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ) ),
inference(clausify,[],[normalize_8_82]) ).
fof(normalize_8_84,plain,
( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ),
inference(conjunct,[],[normalize_8_83]) ).
fof(normalize_8_85,plain,
e22 != e23,
inference(conjunct,[],[normalize_8_34]) ).
fof(normalize_8_86,plain,
op1(e12,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_87,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(conjunct,[],[normalize_8_17]) ).
fof(normalize_8_88,plain,
op1(e13,e10) != op1(e13,e12),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_89,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_90,plain,
op2(e22,e20) != op2(e22,e23),
inference(conjunct,[],[normalize_8_25]) ).
fof(normalize_8_91,plain,
op2(e21,e20) != op2(e22,e20),
inference(conjunct,[],[normalize_8_25]) ).
fof(normalize_8_92,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_8_25]) ).
cnf(refute_8_0,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(canonicalize,[],[normalize_8_1]) ).
cnf(refute_8_1,plain,
h4(op1(e12,e10)) != op2(h4(e12),h4(e10)),
inference(canonicalize,[],[normalize_8_10]) ).
cnf(refute_8_2,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_8_12]) ).
cnf(refute_8_3,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_8_14]) ).
cnf(refute_8_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_8_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_8_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_8_4,refute_8_5]) ).
cnf(refute_8_7,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_8_8,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_8_3,refute_8_7]) ).
cnf(refute_8_9,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_8_10,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_8_8,refute_8_9]) ).
cnf(refute_8_11,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_8_2,refute_8_10]) ).
cnf(refute_8_12,plain,
op2(e22,h4(e10)) = op2(e22,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e10)))]]) ).
cnf(refute_8_13,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_14,plain,
( h4(e10) != e20
| op2(e22,h4(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,h4(e10))) )],[refute_8_12,refute_8_13]) ).
cnf(refute_8_15,plain,
op2(e22,h4(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_11,refute_8_14]) ).
cnf(refute_8_16,plain,
h4(e12) = op2(e23,e23),
inference(canonicalize,[],[normalize_8_15]) ).
cnf(refute_8_17,plain,
e22 = op2(e23,e23),
inference(canonicalize,[],[normalize_8_16]) ).
cnf(refute_8_18,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_8_19,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_8_17,refute_8_18]) ).
cnf(refute_8_20,plain,
( h4(e12) != op2(e23,e23)
| op2(e23,e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_8_21,plain,
( h4(e12) != op2(e23,e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_8_19,refute_8_20]) ).
cnf(refute_8_22,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e23)) )],[refute_8_16,refute_8_21]) ).
cnf(refute_8_23,plain,
op2(h4(e12),h4(e10)) = op2(h4(e12),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_8_24,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_25,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e10)) = op2(e22,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) )],[refute_8_23,refute_8_24]) ).
cnf(refute_8_26,plain,
op2(h4(e12),h4(e10)) = op2(e22,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_22,refute_8_25]) ).
cnf(refute_8_27,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_8_28,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_8_6,refute_8_27]) ).
cnf(refute_8_29,plain,
( op2(e22,h4(e10)) != op2(e22,e20)
| op2(h4(e12),h4(e10)) != op2(e22,h4(e10))
| op2(h4(e12),h4(e10)) = op2(e22,e20) ),
inference(subst,[],[refute_8_28:[bind(X,$fot(op2(h4(e12),h4(e10)))),bind(Y,$fot(op2(e22,h4(e10)))),bind(Z,$fot(op2(e22,e20)))]]) ).
cnf(refute_8_30,plain,
( op2(e22,h4(e10)) != op2(e22,e20)
| op2(h4(e12),h4(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e22,h4(e10))) )],[refute_8_26,refute_8_29]) ).
cnf(refute_8_31,plain,
op2(h4(e12),h4(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e22,h4(e10)),op2(e22,e20)) )],[refute_8_15,refute_8_30]) ).
cnf(refute_8_32,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| op2(h4(e12),h4(e10)) != op2(e22,e20)
| h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_8_33,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e22,e20)) )],[refute_8_31,refute_8_32]) ).
cnf(refute_8_34,plain,
h4(op1(e12,e10)) != op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) )],[refute_8_33,refute_8_1]) ).
cnf(refute_8_35,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_8_18]) ).
cnf(refute_8_36,plain,
op1(e12,e10) != op1(e12,e13),
inference(canonicalize,[],[normalize_8_20]) ).
cnf(refute_8_37,plain,
e11 = op1(op1(e13,e13),e13),
inference(canonicalize,[],[normalize_8_22]) ).
cnf(refute_8_38,plain,
e12 = op1(e13,e13),
inference(canonicalize,[],[normalize_8_23]) ).
cnf(refute_8_39,plain,
( e12 != op1(e13,e13)
| op1(e13,e13) = e12 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_8_40,plain,
op1(e13,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_8_38,refute_8_39]) ).
cnf(refute_8_41,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_8_42,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(e12)]]) ).
cnf(refute_8_43,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_8_41,refute_8_42]) ).
cnf(refute_8_44,plain,
op1(op1(e13,e13),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_8_40,refute_8_43]) ).
cnf(refute_8_45,plain,
( e11 != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_8_46,plain,
( e11 != op1(op1(e13,e13),e13)
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e12,e13)) )],[refute_8_44,refute_8_45]) ).
cnf(refute_8_47,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),e13)) )],[refute_8_37,refute_8_46]) ).
cnf(refute_8_48,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_8_49,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_8_47,refute_8_48]) ).
cnf(refute_8_50,plain,
( op1(e12,e10) != e11
| op1(e12,e13) != e11
| op1(e12,e10) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_8_51,plain,
( op1(e12,e10) != e11
| op1(e12,e10) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_8_49,refute_8_50]) ).
cnf(refute_8_52,plain,
op1(e12,e10) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e13)) )],[refute_8_51,refute_8_36]) ).
cnf(refute_8_53,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_8_35,refute_8_52]) ).
cnf(refute_8_54,plain,
op1(e11,e10) != op1(e12,e10),
inference(canonicalize,[],[normalize_8_24]) ).
cnf(refute_8_55,plain,
op2(e21,e20) != op2(e21,e22),
inference(canonicalize,[],[normalize_8_26]) ).
cnf(refute_8_56,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(canonicalize,[],[normalize_8_27]) ).
cnf(refute_8_57,plain,
h2(e12) = op2(e21,e21),
inference(canonicalize,[],[normalize_8_28]) ).
cnf(refute_8_58,plain,
( h2(e12) != op2(e21,e21)
| op2(e21,e21) = h2(e12) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h2(e12))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_8_59,plain,
op2(e21,e21) = h2(e12),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e21)) )],[refute_8_57,refute_8_58]) ).
cnf(refute_8_60,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_8_61,plain,
( op2(e21,e21) != h2(e12)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h2(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h2(e12))]]) ).
cnf(refute_8_62,plain,
( op2(e21,e21) != h2(e12)
| op2(e21,op2(e21,e21)) = op2(e21,h2(e12)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_8_60,refute_8_61]) ).
cnf(refute_8_63,plain,
op2(e21,op2(e21,e21)) = op2(e21,h2(e12)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_8_59,refute_8_62]) ).
cnf(refute_8_64,plain,
( h2(e10) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) != op2(e21,h2(e12))
| h2(e10) = op2(e21,h2(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e21,h2(e12))) ),[0],$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_8_65,plain,
( h2(e10) != op2(e21,op2(e21,e21))
| h2(e10) = op2(e21,h2(e12)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h2(e12))) )],[refute_8_63,refute_8_64]) ).
cnf(refute_8_66,plain,
h2(e10) = op2(e21,h2(e12)),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,op2(e21,e21))) )],[refute_8_56,refute_8_65]) ).
cnf(refute_8_67,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_8_32]) ).
cnf(refute_8_68,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e12)
| h2(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e12))]]) ).
cnf(refute_8_69,plain,
( op2(e21,e21) != e20
| h2(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_8_59,refute_8_68]) ).
cnf(refute_8_70,plain,
( h2(e12) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_8_67,refute_8_69]) ).
cnf(refute_8_71,plain,
h3(e12) = op2(e22,e22),
inference(canonicalize,[],[normalize_8_33]) ).
cnf(refute_8_72,plain,
( h3(e12) != op2(e22,e22)
| op2(e22,e22) = h3(e12) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_8_73,plain,
op2(e22,e22) = h3(e12),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e22)) )],[refute_8_71,refute_8_72]) ).
cnf(refute_8_74,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e12)
| h3(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e12))]]) ).
cnf(refute_8_75,plain,
( op2(e22,e22) != e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_8_73,refute_8_74]) ).
cnf(refute_8_76,plain,
( h2(e12) = e20
| h3(e12) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_8_70,refute_8_75]) ).
cnf(refute_8_77,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_8_78,plain,
( op2(e23,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_8_19,refute_8_77]) ).
cnf(refute_8_79,plain,
( e22 = e20
| h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_8_76,refute_8_78]) ).
cnf(refute_8_80,plain,
e20 != e22,
inference(canonicalize,[],[normalize_8_35]) ).
cnf(refute_8_81,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_8_82,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_8_81,refute_8_80]) ).
cnf(refute_8_83,plain,
( h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_8_79,refute_8_82]) ).
cnf(refute_8_84,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_8_36]) ).
cnf(refute_8_85,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_8_86,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_8_73,refute_8_85]) ).
cnf(refute_8_87,plain,
h3(e12) != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_8_86,refute_8_84]) ).
cnf(refute_8_88,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_8_89,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_8_90,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_8_88,refute_8_89]) ).
cnf(refute_8_91,plain,
op2(e23,op2(e23,e23)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_8_19,refute_8_90]) ).
cnf(refute_8_92,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_8_93,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e22)) )],[refute_8_91,refute_8_92]) ).
cnf(refute_8_94,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_8_3,refute_8_93]) ).
cnf(refute_8_95,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_8_96,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_8_94,refute_8_95]) ).
cnf(refute_8_97,plain,
( h3(e12) != e20
| op2(e23,e22) != e20
| h3(e12) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_8_98,plain,
( h3(e12) != e20
| h3(e12) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_8_96,refute_8_97]) ).
cnf(refute_8_99,plain,
h3(e12) != e20,
inference(resolve,[$cnf( $equal(h3(e12),op2(e23,e22)) )],[refute_8_98,refute_8_87]) ).
cnf(refute_8_100,plain,
h2(e12) = e20,
inference(resolve,[$cnf( $equal(h3(e12),e20) )],[refute_8_83,refute_8_99]) ).
cnf(refute_8_101,plain,
op2(e21,h2(e12)) = op2(e21,h2(e12)),
introduced(tautology,[refl,[$fot(op2(e21,h2(e12)))]]) ).
cnf(refute_8_102,plain,
( h2(e12) != e20
| op2(e21,h2(e12)) != op2(e21,h2(e12))
| op2(e21,h2(e12)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h2(e12)),op2(e21,h2(e12))) ),[1,1],$fot(e20)]]) ).
cnf(refute_8_103,plain,
( h2(e12) != e20
| op2(e21,h2(e12)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e12)),op2(e21,h2(e12))) )],[refute_8_101,refute_8_102]) ).
cnf(refute_8_104,plain,
op2(e21,h2(e12)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_8_100,refute_8_103]) ).
cnf(refute_8_105,plain,
( h2(e10) != op2(e21,h2(e12))
| op2(e21,h2(e12)) != op2(e21,e20)
| h2(e10) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e21,e20)) ),[0],$fot(op2(e21,h2(e12)))]]) ).
cnf(refute_8_106,plain,
( h2(e10) != op2(e21,h2(e12))
| h2(e10) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e12)),op2(e21,e20)) )],[refute_8_104,refute_8_105]) ).
cnf(refute_8_107,plain,
h2(e10) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,h2(e12))) )],[refute_8_66,refute_8_106]) ).
cnf(refute_8_108,plain,
( h2(e10) != op2(e21,e20)
| op2(e21,e20) = h2(e10) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_8_109,plain,
op2(e21,e20) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e20)) )],[refute_8_107,refute_8_108]) ).
cnf(refute_8_110,plain,
( h2(e10) != op2(e21,e22)
| op2(e21,e20) != h2(e10)
| op2(e21,e20) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),h2(e10)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_8_111,plain,
( h2(e10) != op2(e21,e22)
| op2(e21,e20) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e10)) )],[refute_8_109,refute_8_110]) ).
cnf(refute_8_112,plain,
h2(e10) != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e22)) )],[refute_8_111,refute_8_55]) ).
cnf(refute_8_113,plain,
h1(e11) = op2(op2(e20,e20),e20),
inference(canonicalize,[],[normalize_8_37]) ).
cnf(refute_8_114,plain,
h1(e12) = op2(e20,e20),
inference(canonicalize,[],[normalize_8_38]) ).
cnf(refute_8_115,plain,
( h1(e12) != op2(e20,e20)
| op2(e20,e20) = h1(e12) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h1(e12))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_8_116,plain,
op2(e20,e20) = h1(e12),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,e20)) )],[refute_8_114,refute_8_115]) ).
cnf(refute_8_117,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_8_118,plain,
( op2(e20,e20) != h1(e12)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e12),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e12))]]) ).
cnf(refute_8_119,plain,
( op2(e20,e20) != h1(e12)
| op2(op2(e20,e20),e20) = op2(h1(e12),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_8_117,refute_8_118]) ).
cnf(refute_8_120,plain,
op2(op2(e20,e20),e20) = op2(h1(e12),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_8_116,refute_8_119]) ).
cnf(refute_8_121,plain,
( h1(e11) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) != op2(h1(e12),e20)
| h1(e11) = op2(h1(e12),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h1(e12),e20)) ),[0],$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_8_122,plain,
( h1(e11) != op2(op2(e20,e20),e20)
| h1(e11) = op2(h1(e12),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e12),e20)) )],[refute_8_120,refute_8_121]) ).
cnf(refute_8_123,plain,
h1(e11) = op2(h1(e12),e20),
inference(resolve,[$cnf( $equal(h1(e11),op2(op2(e20,e20),e20)) )],[refute_8_113,refute_8_122]) ).
cnf(refute_8_124,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_8_39]) ).
cnf(refute_8_125,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_8_126,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_127,plain,
( h4(e10) != e20
| op2(e20,h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_8_125,refute_8_126]) ).
cnf(refute_8_128,plain,
op2(e20,h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_11,refute_8_127]) ).
cnf(refute_8_129,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_8_130,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_131,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_8_129,refute_8_130]) ).
cnf(refute_8_132,plain,
op2(h4(e10),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_11,refute_8_131]) ).
cnf(refute_8_133,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_8_28:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_8_134,plain,
( op2(e20,h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,h4(e10))) )],[refute_8_132,refute_8_133]) ).
cnf(refute_8_135,plain,
op2(h4(e10),h4(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,e20)) )],[refute_8_128,refute_8_134]) ).
cnf(refute_8_136,plain,
( op2(e20,e20) != h1(e12)
| op2(h4(e10),h4(e10)) != op2(e20,e20)
| op2(h4(e10),h4(e10)) = h1(e12) ),
inference(subst,[],[refute_8_28:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e12)))]]) ).
cnf(refute_8_137,plain,
( op2(e20,e20) != h1(e12)
| op2(h4(e10),h4(e10)) = h1(e12) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e20,e20)) )],[refute_8_135,refute_8_136]) ).
cnf(refute_8_138,plain,
op2(h4(e10),h4(e10)) = h1(e12),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_8_116,refute_8_137]) ).
cnf(refute_8_139,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != h1(e12)
| h4(op1(e10,e10)) = h1(e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),h1(e12)) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_8_140,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = h1(e12) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),h1(e12)) )],[refute_8_138,refute_8_139]) ).
cnf(refute_8_141,plain,
h4(op1(e10,e10)) = h1(e12),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_8_124,refute_8_140]) ).
cnf(refute_8_142,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_8_40]) ).
cnf(refute_8_143,plain,
e21 = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_8_41]) ).
cnf(refute_8_144,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = e21 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(op2(e23,e23),e23)))]]) ).
cnf(refute_8_145,plain,
op2(op2(e23,e23),e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_8_143,refute_8_144]) ).
cnf(refute_8_146,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_8_147,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),e21) )],[refute_8_145,refute_8_146]) ).
cnf(refute_8_148,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),e23)) )],[refute_8_142,refute_8_147]) ).
cnf(refute_8_149,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(canonicalize,[],[normalize_8_45]) ).
cnf(refute_8_150,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[0],$fot(e12)]]) ).
cnf(refute_8_151,plain,
( op1(e13,e13) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_8_40,refute_8_150]) ).
cnf(refute_8_152,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_149,refute_8_151]) ).
cnf(refute_8_153,plain,
e11 != e12,
inference(canonicalize,[],[normalize_8_47]) ).
cnf(refute_8_154,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_8_155,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_8_154,refute_8_153]) ).
cnf(refute_8_156,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_8_152,refute_8_155]) ).
cnf(refute_8_157,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_8_48]) ).
cnf(refute_8_158,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_8_159,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_8_49,refute_8_158]) ).
cnf(refute_8_160,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_8_159,refute_8_157]) ).
cnf(refute_8_161,plain,
op1(e10,e10) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_8_156,refute_8_160]) ).
cnf(refute_8_162,plain,
h4(op1(e10,e10)) = h4(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).
cnf(refute_8_163,plain,
( h4(op1(e10,e10)) != h4(op1(e10,e10))
| op1(e10,e10) != e11
| h4(op1(e10,e10)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) ),[1,0],$fot(e11)]]) ).
cnf(refute_8_164,plain,
( op1(e10,e10) != e11
| h4(op1(e10,e10)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_8_162,refute_8_163]) ).
cnf(refute_8_165,plain,
h4(op1(e10,e10)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_8_161,refute_8_164]) ).
cnf(refute_8_166,plain,
( h4(e11) != e21
| h4(op1(e10,e10)) != h4(e11)
| h4(op1(e10,e10)) = e21 ),
inference(subst,[],[refute_8_28:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_8_167,plain,
( h4(e11) != e21
| h4(op1(e10,e10)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e11)) )],[refute_8_165,refute_8_166]) ).
cnf(refute_8_168,plain,
h4(op1(e10,e10)) = e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_148,refute_8_167]) ).
cnf(refute_8_169,plain,
( h4(op1(e10,e10)) != e21
| h4(op1(e10,e10)) != h1(e12)
| e21 = h1(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e12)) ),[0],$fot(e21)]]) ).
cnf(refute_8_170,plain,
( h4(op1(e10,e10)) != h1(e12)
| e21 = h1(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e21) )],[refute_8_168,refute_8_169]) ).
cnf(refute_8_171,plain,
e21 = h1(e12),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e12)) )],[refute_8_141,refute_8_170]) ).
cnf(refute_8_172,plain,
( e21 != h1(e12)
| h1(e12) = e21 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e21)),bind(Y,$fot(h1(e12)))]]) ).
cnf(refute_8_173,plain,
h1(e12) = e21,
inference(resolve,[$cnf( $equal(e21,h1(e12)) )],[refute_8_171,refute_8_172]) ).
cnf(refute_8_174,plain,
op2(h1(e12),e20) = op2(h1(e12),e20),
introduced(tautology,[refl,[$fot(op2(h1(e12),e20))]]) ).
cnf(refute_8_175,plain,
( h1(e12) != e21
| op2(h1(e12),e20) != op2(h1(e12),e20)
| op2(h1(e12),e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e12),e20),op2(h1(e12),e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_176,plain,
( h1(e12) != e21
| op2(h1(e12),e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e12),e20),op2(h1(e12),e20)) )],[refute_8_174,refute_8_175]) ).
cnf(refute_8_177,plain,
op2(h1(e12),e20) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_8_173,refute_8_176]) ).
cnf(refute_8_178,plain,
( op2(e21,e20) != h2(e10)
| op2(h1(e12),e20) != op2(e21,e20)
| op2(h1(e12),e20) = h2(e10) ),
inference(subst,[],[refute_8_28:[bind(X,$fot(op2(h1(e12),e20))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(h2(e10)))]]) ).
cnf(refute_8_179,plain,
( op2(e21,e20) != h2(e10)
| op2(h1(e12),e20) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h1(e12),e20),op2(e21,e20)) )],[refute_8_177,refute_8_178]) ).
cnf(refute_8_180,plain,
op2(h1(e12),e20) = h2(e10),
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e10)) )],[refute_8_109,refute_8_179]) ).
cnf(refute_8_181,plain,
( h1(e11) != op2(h1(e12),e20)
| op2(h1(e12),e20) != h2(e10)
| h1(e11) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h2(e10)) ),[0],$fot(op2(h1(e12),e20))]]) ).
cnf(refute_8_182,plain,
( h1(e11) != op2(h1(e12),e20)
| h1(e11) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h1(e12),e20),h2(e10)) )],[refute_8_180,refute_8_181]) ).
cnf(refute_8_183,plain,
h1(e11) = h2(e10),
inference(resolve,[$cnf( $equal(h1(e11),op2(h1(e12),e20)) )],[refute_8_123,refute_8_182]) ).
cnf(refute_8_184,plain,
( h1(e11) != h2(e10)
| h2(e10) = h1(e11) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_8_185,plain,
h2(e10) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),h2(e10)) )],[refute_8_183,refute_8_184]) ).
cnf(refute_8_186,plain,
( h1(e11) != op2(e21,e22)
| h2(e10) != h1(e11)
| h2(e10) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),h1(e11)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_8_187,plain,
( h1(e11) != op2(e21,e22)
| h2(e10) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h2(e10),h1(e11)) )],[refute_8_185,refute_8_186]) ).
cnf(refute_8_188,plain,
h1(e11) != op2(e21,e22),
inference(resolve,[$cnf( $equal(h2(e10),op2(e21,e22)) )],[refute_8_187,refute_8_112]) ).
cnf(refute_8_189,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_8_49]) ).
cnf(refute_8_190,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_8_191,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) != op2(e20,h4(e11))
| op2(e20,h4(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_192,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_8_190,refute_8_191]) ).
cnf(refute_8_193,plain,
op2(e20,h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_148,refute_8_192]) ).
cnf(refute_8_194,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_8_195,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_8_196,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_8_194,refute_8_195]) ).
cnf(refute_8_197,plain,
op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_11,refute_8_196]) ).
cnf(refute_8_198,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_8_28:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_8_199,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_8_197,refute_8_198]) ).
cnf(refute_8_200,plain,
op2(h4(e10),h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_8_193,refute_8_199]) ).
cnf(refute_8_201,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_8_202,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_8_200,refute_8_201]) ).
cnf(refute_8_203,plain,
h4(op1(e10,e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_8_189,refute_8_202]) ).
cnf(refute_8_204,plain,
h2(e11) = op2(op2(e21,e21),e21),
inference(canonicalize,[],[normalize_8_50]) ).
cnf(refute_8_205,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_8_206,plain,
( op2(e21,e21) != h2(e12)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e12),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e12))]]) ).
cnf(refute_8_207,plain,
( op2(e21,e21) != h2(e12)
| op2(op2(e21,e21),e21) = op2(h2(e12),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_8_205,refute_8_206]) ).
cnf(refute_8_208,plain,
op2(op2(e21,e21),e21) = op2(h2(e12),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_8_59,refute_8_207]) ).
cnf(refute_8_209,plain,
( h2(e11) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) != op2(h2(e12),e21)
| h2(e11) = op2(h2(e12),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e12),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_8_210,plain,
( h2(e11) != op2(op2(e21,e21),e21)
| h2(e11) = op2(h2(e12),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e12),e21)) )],[refute_8_208,refute_8_209]) ).
cnf(refute_8_211,plain,
h2(e11) = op2(h2(e12),e21),
inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),e21)) )],[refute_8_204,refute_8_210]) ).
cnf(refute_8_212,plain,
op2(h2(e12),e21) = op2(h2(e12),e21),
introduced(tautology,[refl,[$fot(op2(h2(e12),e21))]]) ).
cnf(refute_8_213,plain,
( h2(e12) != e20
| op2(h2(e12),e21) != op2(h2(e12),e21)
| op2(h2(e12),e21) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e12),e21),op2(h2(e12),e21)) ),[1,0],$fot(e20)]]) ).
cnf(refute_8_214,plain,
( h2(e12) != e20
| op2(h2(e12),e21) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h2(e12),e21),op2(h2(e12),e21)) )],[refute_8_212,refute_8_213]) ).
cnf(refute_8_215,plain,
op2(h2(e12),e21) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_8_100,refute_8_214]) ).
cnf(refute_8_216,plain,
( h2(e11) != op2(h2(e12),e21)
| op2(h2(e12),e21) != op2(e20,e21)
| h2(e11) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e20,e21)) ),[0],$fot(op2(h2(e12),e21))]]) ).
cnf(refute_8_217,plain,
( h2(e11) != op2(h2(e12),e21)
| h2(e11) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h2(e12),e21),op2(e20,e21)) )],[refute_8_215,refute_8_216]) ).
cnf(refute_8_218,plain,
h2(e11) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e12),e21)) )],[refute_8_211,refute_8_217]) ).
cnf(refute_8_219,plain,
( h2(e11) != op2(e20,e21)
| op2(e20,e21) = h2(e11) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_8_220,plain,
op2(e20,e21) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e21)) )],[refute_8_218,refute_8_219]) ).
cnf(refute_8_221,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op2(e20,e21) != h2(e11)
| h4(op1(e10,e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),h2(e11)) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_8_222,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_8_220,refute_8_221]) ).
cnf(refute_8_223,plain,
h4(op1(e10,e11)) = h2(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_8_203,refute_8_222]) ).
cnf(refute_8_224,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_8_51]) ).
cnf(refute_8_225,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_8_226,plain,
( op2(e20,e20) != h1(e12)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e12))]]) ).
cnf(refute_8_227,plain,
( op2(e20,e20) != h1(e12)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e12)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_8_225,refute_8_226]) ).
cnf(refute_8_228,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e12)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_8_116,refute_8_227]) ).
cnf(refute_8_229,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) != op2(e20,h1(e12))
| h1(e10) = op2(e20,h1(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e20,h1(e12))) ),[0],$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_8_230,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| h1(e10) = op2(e20,h1(e12)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e12))) )],[refute_8_228,refute_8_229]) ).
cnf(refute_8_231,plain,
h1(e10) = op2(e20,h1(e12)),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,op2(e20,e20))) )],[refute_8_224,refute_8_230]) ).
cnf(refute_8_232,plain,
op2(e20,h1(e12)) = op2(e20,h1(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h1(e12)))]]) ).
cnf(refute_8_233,plain,
( h1(e12) != e21
| op2(e20,h1(e12)) != op2(e20,h1(e12))
| op2(e20,h1(e12)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e12)),op2(e20,h1(e12))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_234,plain,
( h1(e12) != e21
| op2(e20,h1(e12)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e12)),op2(e20,h1(e12))) )],[refute_8_232,refute_8_233]) ).
cnf(refute_8_235,plain,
op2(e20,h1(e12)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_8_173,refute_8_234]) ).
cnf(refute_8_236,plain,
( op2(e20,e21) != h2(e11)
| op2(e20,h1(e12)) != op2(e20,e21)
| op2(e20,h1(e12)) = h2(e11) ),
inference(subst,[],[refute_8_28:[bind(X,$fot(op2(e20,h1(e12)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_8_237,plain,
( op2(e20,e21) != h2(e11)
| op2(e20,h1(e12)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e12)),op2(e20,e21)) )],[refute_8_235,refute_8_236]) ).
cnf(refute_8_238,plain,
op2(e20,h1(e12)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e11)) )],[refute_8_220,refute_8_237]) ).
cnf(refute_8_239,plain,
( h1(e10) != op2(e20,h1(e12))
| op2(e20,h1(e12)) != h2(e11)
| h1(e10) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h2(e11)) ),[0],$fot(op2(e20,h1(e12)))]]) ).
cnf(refute_8_240,plain,
( h1(e10) != op2(e20,h1(e12))
| h1(e10) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e12)),h2(e11)) )],[refute_8_238,refute_8_239]) ).
cnf(refute_8_241,plain,
h1(e10) = h2(e11),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e12))) )],[refute_8_231,refute_8_240]) ).
cnf(refute_8_242,plain,
( h1(e10) != h2(e11)
| h2(e11) = h1(e10) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h1(e10))),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_8_243,plain,
h2(e11) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),h2(e11)) )],[refute_8_241,refute_8_242]) ).
cnf(refute_8_244,plain,
( h2(e11) != h1(e10)
| h4(op1(e10,e11)) != h2(e11)
| h4(op1(e10,e11)) = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h2(e11)) ),[1],$fot(h1(e10))]]) ).
cnf(refute_8_245,plain,
( h4(op1(e10,e11)) != h2(e11)
| h4(op1(e10,e11)) = h1(e10) ),
inference(resolve,[$cnf( $equal(h2(e11),h1(e10)) )],[refute_8_243,refute_8_244]) ).
cnf(refute_8_246,plain,
h4(op1(e10,e11)) = h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h2(e11)) )],[refute_8_223,refute_8_245]) ).
cnf(refute_8_247,plain,
h4(op1(e11,e10)) = op2(h4(e11),h4(e10)),
inference(canonicalize,[],[normalize_8_52]) ).
cnf(refute_8_248,plain,
op2(e21,h4(e10)) = op2(e21,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e10)))]]) ).
cnf(refute_8_249,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) != op2(e21,h4(e10))
| op2(e21,h4(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_8_250,plain,
( h4(e10) != e20
| op2(e21,h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,h4(e10))) )],[refute_8_248,refute_8_249]) ).
cnf(refute_8_251,plain,
op2(e21,h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_11,refute_8_250]) ).
cnf(refute_8_252,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_8_253,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_254,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e10)) = op2(e21,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_8_252,refute_8_253]) ).
cnf(refute_8_255,plain,
op2(h4(e11),h4(e10)) = op2(e21,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_148,refute_8_254]) ).
cnf(refute_8_256,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) != op2(e21,h4(e10))
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(subst,[],[refute_8_28:[bind(X,$fot(op2(h4(e11),h4(e10)))),bind(Y,$fot(op2(e21,h4(e10)))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_8_257,plain,
( op2(e21,h4(e10)) != op2(e21,e20)
| op2(h4(e11),h4(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,h4(e10))) )],[refute_8_255,refute_8_256]) ).
cnf(refute_8_258,plain,
op2(h4(e11),h4(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e21,h4(e10)),op2(e21,e20)) )],[refute_8_251,refute_8_257]) ).
cnf(refute_8_259,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) != op2(e21,e20)
| h4(op1(e11,e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),op2(e21,e20)) ),[0],$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_8_260,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(e21,e20)) )],[refute_8_258,refute_8_259]) ).
cnf(refute_8_261,plain,
h4(op1(e11,e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_8_247,refute_8_260]) ).
cnf(refute_8_262,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| op2(e21,e20) != h2(e10)
| h4(op1(e11,e10)) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e10)),h2(e10)) ),[0],$fot(op2(e21,e20))]]) ).
cnf(refute_8_263,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e11,e10)) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e10)) )],[refute_8_109,refute_8_262]) ).
cnf(refute_8_264,plain,
h4(op1(e11,e10)) = h2(e10),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(e21,e20)) )],[refute_8_261,refute_8_263]) ).
cnf(refute_8_265,plain,
( h2(e10) != h1(e11)
| h4(op1(e11,e10)) != h2(e10)
| h4(op1(e11,e10)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),h2(e10)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_8_266,plain,
( h4(op1(e11,e10)) != h2(e10)
| h4(op1(e11,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(h2(e10),h1(e11)) )],[refute_8_185,refute_8_265]) ).
cnf(refute_8_267,plain,
h4(op1(e11,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h2(e10)) )],[refute_8_264,refute_8_266]) ).
cnf(refute_8_268,plain,
op1(e12,e10) != op1(e12,e11),
inference(canonicalize,[],[normalize_8_53]) ).
cnf(refute_8_269,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(canonicalize,[],[normalize_8_55]) ).
cnf(refute_8_270,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_8_56]) ).
cnf(refute_8_271,plain,
( op1(e13,e11) != e12
| op1(e13,e13) != e12
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_8_272,plain,
( op1(e13,e11) != e12
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_8_40,refute_8_271]) ).
cnf(refute_8_273,plain,
op1(e13,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_8_272,refute_8_270]) ).
cnf(refute_8_274,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_8_269,refute_8_273]) ).
cnf(refute_8_275,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_8_59]) ).
cnf(refute_8_276,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_8_277,plain,
( op1(e13,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_8_40,refute_8_276]) ).
cnf(refute_8_278,plain,
( e12 = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_8_275,refute_8_277]) ).
cnf(refute_8_279,plain,
e10 != e12,
inference(canonicalize,[],[normalize_8_60]) ).
cnf(refute_8_280,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_8_281,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_8_280,refute_8_279]) ).
cnf(refute_8_282,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_8_278,refute_8_281]) ).
cnf(refute_8_283,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_8_61]) ).
cnf(refute_8_284,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_8_62]) ).
cnf(refute_8_285,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_8_286,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_8_287,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_8_285,refute_8_286]) ).
cnf(refute_8_288,plain,
op1(e13,op1(e13,e13)) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_8_40,refute_8_287]) ).
cnf(refute_8_289,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_8_290,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e12)) )],[refute_8_288,refute_8_289]) ).
cnf(refute_8_291,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_8_284,refute_8_290]) ).
cnf(refute_8_292,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_8_293,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_8_291,refute_8_292]) ).
cnf(refute_8_294,plain,
( op1(e12,e12) != e10
| op1(e13,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_8_295,plain,
( op1(e12,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_8_293,refute_8_294]) ).
cnf(refute_8_296,plain,
op1(e12,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_8_295,refute_8_283]) ).
cnf(refute_8_297,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_8_282,refute_8_296]) ).
cnf(refute_8_298,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_8_299,plain,
( op1(e11,e11) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_8_297,refute_8_298]) ).
cnf(refute_8_300,plain,
( e10 = e12
| op1(e10,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_8_274,refute_8_299]) ).
cnf(refute_8_301,plain,
( op1(e10,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_8_300,refute_8_279]) ).
cnf(refute_8_302,plain,
( op1(e12,e10) != e12
| op1(e12,e11) != e12
| op1(e12,e10) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e11)) ),[1],$fot(e12)]]) ).
cnf(refute_8_303,plain,
( op1(e12,e10) != e12
| op1(e10,e11) = e12
| op1(e12,e10) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_8_301,refute_8_302]) ).
cnf(refute_8_304,plain,
( op1(e12,e10) != e12
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e11)) )],[refute_8_303,refute_8_268]) ).
cnf(refute_8_305,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(canonicalize,[],[normalize_8_63]) ).
cnf(refute_8_306,plain,
op1(e13,e10) != op1(e13,e13),
inference(canonicalize,[],[normalize_8_64]) ).
cnf(refute_8_307,plain,
( op1(e13,e10) != e12
| op1(e13,e13) != e12
| op1(e13,e10) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_8_308,plain,
( op1(e13,e10) != e12
| op1(e13,e10) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_8_40,refute_8_307]) ).
cnf(refute_8_309,plain,
op1(e13,e10) != e12,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_8_308,refute_8_306]) ).
cnf(refute_8_310,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_8_305,refute_8_309]) ).
cnf(refute_8_311,plain,
( op1(e10,e10) != e11
| op1(e10,e10) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[0],$fot(e11)]]) ).
cnf(refute_8_312,plain,
( op1(e10,e10) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_8_161,refute_8_311]) ).
cnf(refute_8_313,plain,
( e11 = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_8_310,refute_8_312]) ).
cnf(refute_8_314,plain,
( op1(e11,e10) = e12
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_8_313,refute_8_153]) ).
cnf(refute_8_315,plain,
( e12 != e12
| op1(e12,e10) != e12
| op1(e12,e10) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[0,0],$fot(e12)]]) ).
cnf(refute_8_316,plain,
( e12 != e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_8_314,refute_8_315]) ).
cnf(refute_8_317,plain,
( e12 != e12
| op1(e10,e11) = e12
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_8_316,refute_8_304]) ).
cnf(refute_8_318,plain,
e12 = e12,
introduced(tautology,[refl,[$fot(e12)]]) ).
cnf(refute_8_319,plain,
( op1(e10,e11) = e12
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(e12,e12) )],[refute_8_318,refute_8_317]) ).
cnf(refute_8_320,plain,
( h4(op1(e11,e10)) != h1(e11)
| op1(e11,e10) != e12
| h4(e12) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),h1(e11)) ),[0,0],$fot(e12)]]) ).
cnf(refute_8_321,plain,
( h4(op1(e11,e10)) != h1(e11)
| h4(e12) = h1(e11)
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_8_319,refute_8_320]) ).
cnf(refute_8_322,plain,
( h4(e12) = h1(e11)
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h1(e11)) )],[refute_8_267,refute_8_321]) ).
cnf(refute_8_323,plain,
( h4(e12) != e22
| h4(e12) != h1(e11)
| e22 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h1(e11)) ),[0],$fot(e22)]]) ).
cnf(refute_8_324,plain,
( h4(e12) != h1(e11)
| e22 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_22,refute_8_323]) ).
cnf(refute_8_325,plain,
( e22 = h1(e11)
| op1(e10,e11) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),h1(e11)) )],[refute_8_322,refute_8_324]) ).
cnf(refute_8_326,plain,
( h4(op1(e10,e11)) != h1(e10)
| op1(e10,e11) != e12
| h4(e12) = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h1(e10)) ),[0,0],$fot(e12)]]) ).
cnf(refute_8_327,plain,
( h4(op1(e10,e11)) != h1(e10)
| e22 = h1(e11)
| h4(e12) = h1(e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_8_325,refute_8_326]) ).
cnf(refute_8_328,plain,
( e22 = h1(e11)
| h4(e12) = h1(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h1(e10)) )],[refute_8_246,refute_8_327]) ).
cnf(refute_8_329,plain,
( h4(e12) != e22
| h4(e12) != h1(e10)
| e22 = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),h1(e10)) ),[0],$fot(e22)]]) ).
cnf(refute_8_330,plain,
( h4(e12) != h1(e10)
| e22 = h1(e10) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_22,refute_8_329]) ).
cnf(refute_8_331,plain,
( e22 = h1(e10)
| e22 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e12),h1(e10)) )],[refute_8_328,refute_8_330]) ).
cnf(refute_8_332,plain,
( e22 != h1(e11)
| h1(e11) = e22 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e22)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_8_333,plain,
( e22 = h1(e10)
| h1(e11) = e22 ),
inference(resolve,[$cnf( $equal(e22,h1(e11)) )],[refute_8_331,refute_8_332]) ).
cnf(refute_8_334,plain,
( e22 != op2(e21,e22)
| h1(e11) != e22
| h1(e11) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e22) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_8_335,plain,
( e22 != op2(e21,e22)
| e22 = h1(e10)
| h1(e11) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_8_333,refute_8_334]) ).
cnf(refute_8_336,plain,
( e22 != op2(e21,e22)
| e22 = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e22)) )],[refute_8_335,refute_8_188]) ).
cnf(refute_8_337,plain,
h4(op1(e11,e12)) = op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_8_65]) ).
cnf(refute_8_338,plain,
op2(e21,h4(e12)) = op2(e21,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).
cnf(refute_8_339,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) != op2(e21,h4(e12))
| op2(e21,h4(e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_8_340,plain,
( h4(e12) != e22
| op2(e21,h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) )],[refute_8_338,refute_8_339]) ).
cnf(refute_8_341,plain,
op2(e21,h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_22,refute_8_340]) ).
cnf(refute_8_342,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_8_343,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_344,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e12)) = op2(e21,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_8_342,refute_8_343]) ).
cnf(refute_8_345,plain,
op2(h4(e11),h4(e12)) = op2(e21,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_8_148,refute_8_344]) ).
cnf(refute_8_346,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) != op2(e21,h4(e12))
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(subst,[],[refute_8_28:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).
cnf(refute_8_347,plain,
( op2(e21,h4(e12)) != op2(e21,e22)
| op2(h4(e11),h4(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,h4(e12))) )],[refute_8_345,refute_8_346]) ).
cnf(refute_8_348,plain,
op2(h4(e11),h4(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e22)) )],[refute_8_341,refute_8_347]) ).
cnf(refute_8_349,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) != op2(e21,e22)
| h4(op1(e11,e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_8_350,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(e21,e22)) )],[refute_8_348,refute_8_349]) ).
cnf(refute_8_351,plain,
h4(op1(e11,e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_8_337,refute_8_350]) ).
cnf(refute_8_352,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(canonicalize,[],[normalize_8_66]) ).
cnf(refute_8_353,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_8_67]) ).
cnf(refute_8_354,plain,
( op1(e11,e13) != e12
| op1(e13,e13) != e12
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_8_355,plain,
( op1(e11,e13) != e12
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_8_40,refute_8_354]) ).
cnf(refute_8_356,plain,
op1(e11,e13) != e12,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_8_355,refute_8_353]) ).
cnf(refute_8_357,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_8_352,refute_8_356]) ).
cnf(refute_8_358,plain,
( e10 = e12
| op1(e11,e10) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_8_357,refute_8_299]) ).
cnf(refute_8_359,plain,
( op1(e11,e10) = e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_8_358,refute_8_279]) ).
cnf(refute_8_360,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| op1(e11,e12) != e12
| h4(e12) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) ),[0,0],$fot(e12)]]) ).
cnf(refute_8_361,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| h4(e12) = op2(e21,e22)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_8_359,refute_8_360]) ).
cnf(refute_8_362,plain,
( h4(e12) = op2(e21,e22)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e21,e22)) )],[refute_8_351,refute_8_361]) ).
cnf(refute_8_363,plain,
( h4(e12) != e22
| h4(e12) != op2(e21,e22)
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),op2(e21,e22)) ),[0],$fot(e22)]]) ).
cnf(refute_8_364,plain,
( h4(e12) != op2(e21,e22)
| e22 = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_8_22,refute_8_363]) ).
cnf(refute_8_365,plain,
( e22 = op2(e21,e22)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(h4(e12),op2(e21,e22)) )],[refute_8_362,refute_8_364]) ).
cnf(refute_8_366,plain,
( e22 != op2(e21,e22)
| op2(e21,e22) = e22 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_8_367,plain,
( op1(e11,e10) = e12
| op2(e21,e22) = e22 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_8_365,refute_8_366]) ).
cnf(refute_8_368,plain,
( e22 != e22
| op2(e21,e22) != e22
| e22 = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_8_369,plain,
( e22 != e22
| e22 = op2(e21,e22)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_8_367,refute_8_368]) ).
cnf(refute_8_370,plain,
( e22 != e22
| e22 = h1(e10)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_8_369,refute_8_336]) ).
cnf(refute_8_371,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_8_372,plain,
( e22 = h1(e10)
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_8_371,refute_8_370]) ).
cnf(refute_8_373,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_8_69]) ).
cnf(refute_8_374,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e12)
| h1(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e12))]]) ).
cnf(refute_8_375,plain,
( op2(e20,e20) != e23
| h1(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_8_116,refute_8_374]) ).
cnf(refute_8_376,plain,
( h1(e12) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_8_373,refute_8_375]) ).
cnf(refute_8_377,plain,
( h1(e12) != e21
| h1(e12) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e23) ),[0],$fot(e21)]]) ).
cnf(refute_8_378,plain,
( h1(e12) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_8_173,refute_8_377]) ).
cnf(refute_8_379,plain,
( e21 = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(h1(e12),e23) )],[refute_8_376,refute_8_378]) ).
cnf(refute_8_380,plain,
( h2(e11) != h1(e10)
| h2(e11) != op2(e20,e21)
| h1(e10) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e20,e21)) ),[0],$fot(h1(e10))]]) ).
cnf(refute_8_381,plain,
( h2(e11) != op2(e20,e21)
| h1(e10) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h2(e11),h1(e10)) )],[refute_8_243,refute_8_380]) ).
cnf(refute_8_382,plain,
h1(e10) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e21)) )],[refute_8_218,refute_8_381]) ).
cnf(refute_8_383,plain,
( h1(e10) != op2(e20,e21)
| op2(e20,e21) = h1(e10) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_8_384,plain,
op2(e20,e21) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e21)) )],[refute_8_382,refute_8_383]) ).
cnf(refute_8_385,plain,
( op2(e20,e21) != e23
| op2(e20,e21) != h1(e10)
| h1(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(h1(e10))]]) ).
cnf(refute_8_386,plain,
( op2(e20,e21) != e23
| h1(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e10)) )],[refute_8_384,refute_8_385]) ).
cnf(refute_8_387,plain,
( e21 = e23
| h1(e10) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_8_379,refute_8_386]) ).
cnf(refute_8_388,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_8_70]) ).
cnf(refute_8_389,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_8_71]) ).
cnf(refute_8_390,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_8_391,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_8_392,plain,
( h4(e13) != e23
| op2(e20,h4(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_8_390,refute_8_391]) ).
cnf(refute_8_393,plain,
op2(e20,h4(e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_8_389,refute_8_392]) ).
cnf(refute_8_394,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_8_395,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_8_396,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_8_394,refute_8_395]) ).
cnf(refute_8_397,plain,
op2(h4(e10),h4(e13)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_11,refute_8_396]) ).
cnf(refute_8_398,plain,
( op2(e20,h4(e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) != op2(e20,h4(e13))
| op2(h4(e10),h4(e13)) = op2(e20,e23) ),
inference(subst,[],[refute_8_28:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_8_399,plain,
( op2(e20,h4(e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,h4(e13))) )],[refute_8_397,refute_8_398]) ).
cnf(refute_8_400,plain,
op2(h4(e10),h4(e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e23)) )],[refute_8_393,refute_8_399]) ).
cnf(refute_8_401,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) != op2(e20,e23)
| h4(op1(e10,e13)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_8_402,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,e23)) )],[refute_8_400,refute_8_401]) ).
cnf(refute_8_403,plain,
h4(op1(e10,e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_8_388,refute_8_402]) ).
cnf(refute_8_404,plain,
op1(e10,e13) != op1(e11,e13),
inference(canonicalize,[],[normalize_8_72]) ).
cnf(refute_8_405,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_8_73]) ).
cnf(refute_8_406,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_8_405,refute_8_356]) ).
cnf(refute_8_407,plain,
op1(e11,e11) != op1(e11,e13),
inference(canonicalize,[],[normalize_8_74]) ).
cnf(refute_8_408,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) != e10
| op1(e11,e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_8_409,plain,
( e10 != op1(e11,e13)
| op1(e11,e11) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_8_297,refute_8_408]) ).
cnf(refute_8_410,plain,
e10 != op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e13)) )],[refute_8_409,refute_8_407]) ).
cnf(refute_8_411,plain,
( op1(e11,e13) != e10
| e10 = op1(e11,e13) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(e10))]]) ).
cnf(refute_8_412,plain,
op1(e11,e13) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e13)) )],[refute_8_411,refute_8_410]) ).
cnf(refute_8_413,plain,
( op1(e11,e13) = e11
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_8_406,refute_8_412]) ).
cnf(refute_8_414,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_8_75]) ).
cnf(refute_8_415,plain,
( op1(e11,e13) != e11
| op1(e12,e13) != e11
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_8_416,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_8_49,refute_8_415]) ).
cnf(refute_8_417,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_8_416,refute_8_414]) ).
cnf(refute_8_418,plain,
op1(e11,e13) = e13,
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_8_413,refute_8_417]) ).
cnf(refute_8_419,plain,
( op1(e10,e13) != e13
| op1(e11,e13) != e13
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_8_420,plain,
( op1(e10,e13) != e13
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_8_418,refute_8_419]) ).
cnf(refute_8_421,plain,
op1(e10,e13) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_8_420,refute_8_404]) ).
cnf(refute_8_422,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_8_76]) ).
cnf(refute_8_423,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_8_77]) ).
cnf(refute_8_424,plain,
( op1(e10,e13) != e12
| op1(e13,e13) != e12
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_8_425,plain,
( op1(e10,e13) != e12
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_8_40,refute_8_424]) ).
cnf(refute_8_426,plain,
op1(e10,e13) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_8_425,refute_8_423]) ).
cnf(refute_8_427,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_8_422,refute_8_426]) ).
cnf(refute_8_428,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_8_78]) ).
cnf(refute_8_429,plain,
( op1(e10,e13) != e11
| op1(e12,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_8_430,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_8_49,refute_8_429]) ).
cnf(refute_8_431,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_8_430,refute_8_428]) ).
cnf(refute_8_432,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_8_427,refute_8_431]) ).
cnf(refute_8_433,plain,
( e13 != e13
| op1(e10,e13) != e13
| op1(e10,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0,1],$fot(e13)]]) ).
cnf(refute_8_434,plain,
( e13 != e13
| op1(e10,e13) = e10
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_8_432,refute_8_433]) ).
cnf(refute_8_435,plain,
( e13 != e13
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_8_434,refute_8_421]) ).
cnf(refute_8_436,plain,
e13 = e13,
introduced(tautology,[refl,[$fot(e13)]]) ).
cnf(refute_8_437,plain,
op1(e10,e13) = e10,
inference(resolve,[$cnf( $equal(e13,e13) )],[refute_8_436,refute_8_435]) ).
cnf(refute_8_438,plain,
h4(op1(e10,e13)) = h4(op1(e10,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_8_439,plain,
( h4(op1(e10,e13)) != h4(op1(e10,e13))
| op1(e10,e13) != e10
| h4(op1(e10,e13)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_8_440,plain,
( op1(e10,e13) != e10
| h4(op1(e10,e13)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) )],[refute_8_438,refute_8_439]) ).
cnf(refute_8_441,plain,
h4(op1(e10,e13)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_8_437,refute_8_440]) ).
cnf(refute_8_442,plain,
( h4(e10) != e20
| h4(op1(e10,e13)) != h4(e10)
| h4(op1(e10,e13)) = e20 ),
inference(subst,[],[refute_8_28:[bind(X,$fot(h4(op1(e10,e13)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_8_443,plain,
( h4(e10) != e20
| h4(op1(e10,e13)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(e10)) )],[refute_8_441,refute_8_442]) ).
cnf(refute_8_444,plain,
h4(op1(e10,e13)) = e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_11,refute_8_443]) ).
cnf(refute_8_445,plain,
( h4(op1(e10,e13)) != e20
| h4(op1(e10,e13)) != op2(e20,e23)
| e20 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0],$fot(e20)]]) ).
cnf(refute_8_446,plain,
( h4(op1(e10,e13)) != op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e20) )],[refute_8_444,refute_8_445]) ).
cnf(refute_8_447,plain,
e20 = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) )],[refute_8_403,refute_8_446]) ).
cnf(refute_8_448,plain,
( e20 != op2(e20,e23)
| op2(e20,e23) = e20 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_8_449,plain,
op2(e20,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e20,e23)) )],[refute_8_447,refute_8_448]) ).
cnf(refute_8_450,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_8_451,plain,
( op2(e20,e23) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_8_449,refute_8_450]) ).
cnf(refute_8_452,plain,
( e20 = e23
| e21 = e23
| h1(e10) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_8_387,refute_8_451]) ).
cnf(refute_8_453,plain,
e20 != e23,
inference(canonicalize,[],[normalize_8_79]) ).
cnf(refute_8_454,plain,
( e21 = e23
| h1(e10) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_8_452,refute_8_453]) ).
cnf(refute_8_455,plain,
e21 != e23,
inference(canonicalize,[],[normalize_8_80]) ).
cnf(refute_8_456,plain,
( h1(e10) = e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_8_454,refute_8_455]) ).
cnf(refute_8_457,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_8_81]) ).
cnf(refute_8_458,plain,
( op2(e20,e22) != h3(e12)
| op2(e22,e22) != h3(e12)
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e12))]]) ).
cnf(refute_8_459,plain,
( op2(e20,e22) != h3(e12)
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_8_73,refute_8_458]) ).
cnf(refute_8_460,plain,
op2(e20,e22) != h3(e12),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_8_459,refute_8_457]) ).
cnf(refute_8_461,plain,
( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ),
inference(canonicalize,[],[normalize_8_84]) ).
cnf(refute_8_462,plain,
( h1(e12) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_8_461,refute_8_375]) ).
cnf(refute_8_463,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e12)
| h2(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e12))]]) ).
cnf(refute_8_464,plain,
( op2(e21,e21) != e23
| h2(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_8_59,refute_8_463]) ).
cnf(refute_8_465,plain,
( h1(e12) = e23
| h2(e12) = e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_8_462,refute_8_464]) ).
cnf(refute_8_466,plain,
( op2(e22,e22) != e23
| op2(e22,e22) != h3(e12)
| h3(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e12))]]) ).
cnf(refute_8_467,plain,
( op2(e22,e22) != e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_8_73,refute_8_466]) ).
cnf(refute_8_468,plain,
( h1(e12) = e23
| h2(e12) = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_465,refute_8_467]) ).
cnf(refute_8_469,plain,
( e21 = e23
| h2(e12) = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(h1(e12),e23) )],[refute_8_468,refute_8_378]) ).
cnf(refute_8_470,plain,
( h2(e12) != e20
| h2(e12) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e23) ),[0],$fot(e20)]]) ).
cnf(refute_8_471,plain,
( h2(e12) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_8_100,refute_8_470]) ).
cnf(refute_8_472,plain,
( e20 = e23
| e21 = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(h2(e12),e23) )],[refute_8_469,refute_8_471]) ).
cnf(refute_8_473,plain,
( e21 = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_8_472,refute_8_453]) ).
cnf(refute_8_474,plain,
h3(e12) = e23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_8_473,refute_8_455]) ).
cnf(refute_8_475,plain,
( h3(e12) != e23
| op2(e20,e22) != e23
| op2(e20,e22) = h3(e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h3(e12)) ),[1],$fot(e23)]]) ).
cnf(refute_8_476,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = h3(e12) ),
inference(resolve,[$cnf( $equal(h3(e12),e23) )],[refute_8_474,refute_8_475]) ).
cnf(refute_8_477,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e12)) )],[refute_8_476,refute_8_460]) ).
cnf(refute_8_478,plain,
h1(e10) = e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_8_456,refute_8_477]) ).
cnf(refute_8_479,plain,
( e22 != h1(e10)
| h1(e10) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,e23) ),[0],$fot(h1(e10))]]) ).
cnf(refute_8_480,plain,
( e22 != h1(e10)
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_8_478,refute_8_479]) ).
cnf(refute_8_481,plain,
( e22 = e23
| op1(e11,e10) = e12 ),
inference(resolve,[$cnf( $equal(e22,h1(e10)) )],[refute_8_372,refute_8_480]) ).
cnf(refute_8_482,plain,
e22 != e23,
inference(canonicalize,[],[normalize_8_85]) ).
cnf(refute_8_483,plain,
op1(e11,e10) = e12,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_8_481,refute_8_482]) ).
cnf(refute_8_484,plain,
( e12 != op1(e12,e10)
| op1(e11,e10) != e12
| op1(e11,e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e12) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_8_485,plain,
( e12 != op1(e12,e10)
| op1(e11,e10) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_8_483,refute_8_484]) ).
cnf(refute_8_486,plain,
e12 != op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,e10)) )],[refute_8_485,refute_8_54]) ).
cnf(refute_8_487,plain,
( op1(e12,e10) != e12
| e12 = op1(e12,e10) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op1(e12,e10))),bind(Y,$fot(e12))]]) ).
cnf(refute_8_488,plain,
op1(e12,e10) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e12,e10)) )],[refute_8_487,refute_8_486]) ).
cnf(refute_8_489,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_8_53,refute_8_488]) ).
cnf(refute_8_490,plain,
op1(e12,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_8_86]) ).
cnf(refute_8_491,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(canonicalize,[],[normalize_8_87]) ).
cnf(refute_8_492,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_8_491,refute_8_309]) ).
cnf(refute_8_493,plain,
op1(e13,e10) != op1(e13,e12),
inference(canonicalize,[],[normalize_8_88]) ).
cnf(refute_8_494,plain,
( op1(e13,e10) != e10
| op1(e13,e12) != e10
| op1(e13,e10) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_8_495,plain,
( op1(e13,e10) != e10
| op1(e13,e10) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_8_293,refute_8_494]) ).
cnf(refute_8_496,plain,
op1(e13,e10) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_8_495,refute_8_493]) ).
cnf(refute_8_497,plain,
( op1(e13,e10) = e11
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_8_492,refute_8_496]) ).
cnf(refute_8_498,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_8_89]) ).
cnf(refute_8_499,plain,
( e11 != op1(e13,e10)
| op1(e10,e10) != e11
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e13,e10))]]) ).
cnf(refute_8_500,plain,
( e11 != op1(e13,e10)
| op1(e10,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_8_161,refute_8_499]) ).
cnf(refute_8_501,plain,
e11 != op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_8_500,refute_8_498]) ).
cnf(refute_8_502,plain,
( op1(e13,e10) != e11
| e11 = op1(e13,e10) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op1(e13,e10))),bind(Y,$fot(e11))]]) ).
cnf(refute_8_503,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e10)) )],[refute_8_502,refute_8_501]) ).
cnf(refute_8_504,plain,
op1(e13,e10) = e13,
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_8_497,refute_8_503]) ).
cnf(refute_8_505,plain,
( op1(e12,e10) != e13
| op1(e13,e10) != e13
| op1(e12,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e13,e10)) ),[1],$fot(e13)]]) ).
cnf(refute_8_506,plain,
( op1(e12,e10) != e13
| op1(e12,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_8_504,refute_8_505]) ).
cnf(refute_8_507,plain,
op1(e12,e10) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e13,e10)) )],[refute_8_506,refute_8_490]) ).
cnf(refute_8_508,plain,
op1(e12,e10) = e10,
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_8_489,refute_8_507]) ).
cnf(refute_8_509,plain,
h4(op1(e12,e10)) = h4(op1(e12,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e10)))]]) ).
cnf(refute_8_510,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_511,plain,
( op1(e12,e10) != e10
| h4(op1(e12,e10)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),h4(op1(e12,e10))) )],[refute_8_509,refute_8_510]) ).
cnf(refute_8_512,plain,
h4(op1(e12,e10)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_8_508,refute_8_511]) ).
cnf(refute_8_513,plain,
( h4(e10) != e20
| h4(op1(e12,e10)) != h4(e10)
| h4(op1(e12,e10)) = e20 ),
inference(subst,[],[refute_8_28:[bind(X,$fot(h4(op1(e12,e10)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_8_514,plain,
( h4(e10) != e20
| h4(op1(e12,e10)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),h4(e10)) )],[refute_8_512,refute_8_513]) ).
cnf(refute_8_515,plain,
h4(op1(e12,e10)) = e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_8_11,refute_8_514]) ).
cnf(refute_8_516,plain,
( e20 != op2(e22,e20)
| h4(op1(e12,e10)) != e20
| h4(op1(e12,e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),e20) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_8_517,plain,
( e20 != op2(e22,e20)
| h4(op1(e12,e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),e20) )],[refute_8_515,refute_8_516]) ).
cnf(refute_8_518,plain,
e20 != op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e22,e20)) )],[refute_8_517,refute_8_34]) ).
cnf(refute_8_519,plain,
( op2(e22,e20) != e20
| e20 = op2(e22,e20) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op2(e22,e20))),bind(Y,$fot(e20))]]) ).
cnf(refute_8_520,plain,
op2(e22,e20) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e22,e20)) )],[refute_8_519,refute_8_518]) ).
cnf(refute_8_521,plain,
( op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_8_0,refute_8_520]) ).
cnf(refute_8_522,plain,
op2(e22,e20) != op2(e22,e23),
inference(canonicalize,[],[normalize_8_90]) ).
cnf(refute_8_523,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_8_524,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_8_525,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_8_523,refute_8_524]) ).
cnf(refute_8_526,plain,
op2(op2(e23,e23),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_8_19,refute_8_525]) ).
cnf(refute_8_527,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_8_528,plain,
( e21 != op2(op2(e23,e23),e23)
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e22,e23)) )],[refute_8_526,refute_8_527]) ).
cnf(refute_8_529,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_8_143,refute_8_528]) ).
cnf(refute_8_530,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_8_531,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_8_529,refute_8_530]) ).
cnf(refute_8_532,plain,
( op2(e22,e20) != e21
| op2(e22,e23) != e21
| op2(e22,e20) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_8_533,plain,
( op2(e22,e20) != e21
| op2(e22,e20) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_8_531,refute_8_532]) ).
cnf(refute_8_534,plain,
op2(e22,e20) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e23)) )],[refute_8_533,refute_8_522]) ).
cnf(refute_8_535,plain,
( op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_8_521,refute_8_534]) ).
cnf(refute_8_536,plain,
op2(e21,e20) != op2(e22,e20),
inference(canonicalize,[],[normalize_8_91]) ).
cnf(refute_8_537,plain,
( h2(e10) != op2(e22,e20)
| op2(e21,e20) != h2(e10)
| op2(e21,e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),h2(e10)) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_8_538,plain,
( h2(e10) != op2(e22,e20)
| op2(e21,e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e10)) )],[refute_8_109,refute_8_537]) ).
cnf(refute_8_539,plain,
h2(e10) != op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e22,e20)) )],[refute_8_538,refute_8_536]) ).
cnf(refute_8_540,plain,
( h1(e11) != op2(e22,e20)
| h2(e10) != h1(e11)
| h2(e10) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),h1(e11)) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_8_541,plain,
( h1(e11) != op2(e22,e20)
| h2(e10) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h2(e10),h1(e11)) )],[refute_8_185,refute_8_540]) ).
cnf(refute_8_542,plain,
h1(e11) != op2(e22,e20),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e20)) )],[refute_8_541,refute_8_539]) ).
cnf(refute_8_543,plain,
( e22 = e23
| e22 = h1(e11) ),
inference(resolve,[$cnf( $equal(e22,h1(e10)) )],[refute_8_331,refute_8_480]) ).
cnf(refute_8_544,plain,
e22 = h1(e11),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_8_543,refute_8_482]) ).
cnf(refute_8_545,plain,
h1(e11) = e22,
inference(resolve,[$cnf( $equal(e22,h1(e11)) )],[refute_8_544,refute_8_332]) ).
cnf(refute_8_546,plain,
( e22 != op2(e22,e20)
| h1(e11) != e22
| h1(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e22) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_8_547,plain,
( e22 != op2(e22,e20)
| h1(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h1(e11),e22) )],[refute_8_545,refute_8_546]) ).
cnf(refute_8_548,plain,
e22 != op2(e22,e20),
inference(resolve,[$cnf( $equal(h1(e11),op2(e22,e20)) )],[refute_8_547,refute_8_542]) ).
cnf(refute_8_549,plain,
( op2(e22,e20) != e22
| e22 = op2(e22,e20) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op2(e22,e20))),bind(Y,$fot(e22))]]) ).
cnf(refute_8_550,plain,
op2(e22,e20) != e22,
inference(resolve,[$cnf( $equal(e22,op2(e22,e20)) )],[refute_8_549,refute_8_548]) ).
cnf(refute_8_551,plain,
op2(e22,e20) = e23,
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_8_535,refute_8_550]) ).
cnf(refute_8_552,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_8_92]) ).
cnf(refute_8_553,plain,
( op2(e22,e20) != h3(e12)
| op2(e22,e22) != h3(e12)
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(h3(e12))]]) ).
cnf(refute_8_554,plain,
( op2(e22,e20) != h3(e12)
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_8_73,refute_8_553]) ).
cnf(refute_8_555,plain,
op2(e22,e20) != h3(e12),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_8_554,refute_8_552]) ).
cnf(refute_8_556,plain,
( h3(e12) != e23
| op2(e22,e20) != e23
| op2(e22,e20) = h3(e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),h3(e12)) ),[1],$fot(e23)]]) ).
cnf(refute_8_557,plain,
( op2(e22,e20) != e23
| op2(e22,e20) = h3(e12) ),
inference(resolve,[$cnf( $equal(h3(e12),e23) )],[refute_8_474,refute_8_556]) ).
cnf(refute_8_558,plain,
op2(e22,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e20),h3(e12)) )],[refute_8_557,refute_8_555]) ).
cnf(refute_8_559,plain,
$false,
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_8_551,refute_8_558]) ).
fof(negate_9_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) )
=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
inference(negate,[],[subgoal_9]) ).
fof(normalize_9_0,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_9_0]) ).
fof(normalize_9_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = 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(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = 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(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = 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(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_9_10,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_11,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_9_12,plain,
e21 = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_13,plain,
h4(e12) = op2(e23,e23),
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_14,plain,
e22 = op2(e23,e23),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_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_9_16,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(conjunct,[],[normalize_9_15]) ).
fof(normalize_9_17,plain,
h2(e12) = op2(e21,e21),
inference(conjunct,[],[normalize_9_3]) ).
fof(normalize_9_18,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_19,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_9_18]) ).
fof(normalize_9_20,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22 ) )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_9_21,plain,
( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_22,plain,
( ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e20) != e23 )
& ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e23) = e20 )
& ( op2(e21,e20) != e21
| op2(e23,e20) != e23
| op2(e22,e22) = e20 )
& ( op2(e21,e20) != e21
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e20) != e22
| op2(e23,e20) != e23
| op2(e21,e21) = e20 )
& ( op2(e22,e20) != e22
| op2(e21,e21) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) != e23
| op2(e21,e21) = e20
| op2(e22,e22) = e20 )
& ( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ) ),
inference(clausify,[],[normalize_9_21]) ).
fof(normalize_9_23,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_9_22]) ).
fof(normalize_9_24,plain,
h3(e12) = op2(e22,e22),
inference(conjunct,[],[normalize_9_5]) ).
fof(normalize_9_25,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_9_26,plain,
e20 != e22,
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_27,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_9_18]) ).
fof(normalize_9_28,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_29,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_9_1]) ).
fof(normalize_9_30,plain,
h1(e12) = op2(e20,e20),
inference(conjunct,[],[normalize_9_1]) ).
fof(normalize_9_31,plain,
( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) ),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_32,plain,
( ( op2(e20,e21) != e20
| op2(e22,e21) != e22
| op2(e23,e21) != e23 )
& ( op2(e20,e21) != e20
| op2(e22,e21) != e22
| op2(e23,e23) = e21 )
& ( op2(e20,e21) != e20
| op2(e23,e21) != e23
| op2(e22,e22) = e21 )
& ( op2(e20,e21) != e20
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e21) != e22
| op2(e23,e21) != e23
| op2(e20,e20) = e21 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e22,e22) = e21 )
& ( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ) ),
inference(clausify,[],[normalize_9_31]) ).
fof(normalize_9_33,plain,
( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(conjunct,[],[normalize_9_32]) ).
fof(normalize_9_34,plain,
e21 != e22,
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_35,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_9_18]) ).
fof(normalize_9_36,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_37,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_38,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_39,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_40,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_9_39]) ).
fof(normalize_9_41,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12 ) )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_9_42,plain,
( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) ),
inference(conjunct,[],[normalize_9_41]) ).
fof(normalize_9_43,plain,
( ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e11) != e13 )
& ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e13) = e11 )
& ( op1(e10,e11) != e10
| op1(e13,e11) != e13
| op1(e12,e12) = e11 )
& ( op1(e10,e11) != e10
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e11) != e12
| op1(e13,e11) != e13
| op1(e10,e10) = e11 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e12,e12) = e11 )
& ( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ) ),
inference(clausify,[],[normalize_9_42]) ).
fof(normalize_9_44,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(conjunct,[],[normalize_9_43]) ).
fof(normalize_9_45,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_9_46,plain,
e12 = op1(e13,e13),
inference(conjunct,[],[normalize_9_45]) ).
fof(normalize_9_47,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_9_48,plain,
e11 != e12,
inference(conjunct,[],[normalize_9_47]) ).
fof(normalize_9_49,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_50,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_9_49]) ).
fof(normalize_9_51,plain,
e11 = op1(op1(e13,e13),e13),
inference(conjunct,[],[normalize_9_45]) ).
fof(normalize_9_52,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_53,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_9_54,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_9_53]) ).
fof(normalize_9_55,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_9_49]) ).
fof(normalize_9_56,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_9_45]) ).
fof(normalize_9_57,plain,
op1(e10,e10) != op1(e10,e12),
inference(conjunct,[],[normalize_9_49]) ).
fof(normalize_9_58,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_9_18]) ).
fof(normalize_9_59,plain,
( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) ),
inference(conjunct,[],[normalize_9_20]) ).
fof(normalize_9_60,plain,
( ( op2(e20,e23) != e20
| op2(e21,e23) != e21
| op2(e22,e23) != e22 )
& ( op2(e20,e23) != e20
| op2(e21,e23) != e21
| op2(e22,e22) = e23 )
& ( op2(e20,e23) != e20
| op2(e22,e23) != e22
| op2(e21,e21) = e23 )
& ( op2(e20,e23) != e20
| op2(e21,e21) = e23
| op2(e22,e22) = e23 )
& ( op2(e21,e23) != e21
| op2(e22,e23) != e22
| op2(e20,e20) = e23 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e22,e22) = e23 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ) ),
inference(clausify,[],[normalize_9_59]) ).
fof(normalize_9_61,plain,
( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ),
inference(conjunct,[],[normalize_9_60]) ).
fof(normalize_9_62,plain,
e20 != e23,
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_63,plain,
e21 != e23,
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_64,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_65,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_9_53]) ).
fof(normalize_9_66,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_9_49]) ).
fof(normalize_9_67,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_9_49]) ).
fof(normalize_9_68,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(conjunct,[],[normalize_9_15]) ).
fof(normalize_9_69,plain,
e20 != e21,
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_70,plain,
op2(e20,e21) != op2(e21,e21),
inference(conjunct,[],[normalize_9_18]) ).
fof(normalize_9_71,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_9_18]) ).
fof(normalize_9_72,plain,
e10 != e13,
inference(conjunct,[],[normalize_9_47]) ).
fof(normalize_9_73,plain,
e11 != e13,
inference(conjunct,[],[normalize_9_47]) ).
fof(normalize_9_74,plain,
e12 != e13,
inference(conjunct,[],[normalize_9_47]) ).
fof(normalize_9_75,plain,
e22 != e23,
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_76,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(conjunct,[],[normalize_9_39]) ).
fof(normalize_9_77,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_9_49]) ).
fof(normalize_9_78,plain,
( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ),
inference(conjunct,[],[normalize_9_41]) ).
fof(normalize_9_79,plain,
( ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e10) != e13 )
& ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e13) = e10 )
& ( op1(e11,e10) != e11
| op1(e13,e10) != e13
| op1(e12,e12) = e10 )
& ( op1(e11,e10) != e11
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e10) != e12
| op1(e13,e10) != e13
| op1(e11,e11) = e10 )
& ( op1(e12,e10) != e12
| op1(e11,e11) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) != e13
| op1(e11,e11) = e10
| op1(e12,e12) = e10 )
& ( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ) ),
inference(clausify,[],[normalize_9_78]) ).
fof(normalize_9_80,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_9_79]) ).
fof(normalize_9_81,plain,
e10 != e12,
inference(conjunct,[],[normalize_9_47]) ).
fof(normalize_9_82,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_9_49]) ).
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(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_9_10]) ).
cnf(refute_9_2,plain,
e21 = op2(op2(e23,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( $equal(X,X) )],[refute_9_3,refute_9_4]) ).
cnf(refute_9_6,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = e21 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(op2(e23,e23),e23)))]]) ).
cnf(refute_9_7,plain,
op2(op2(e23,e23),e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_9_2,refute_9_6]) ).
cnf(refute_9_8,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_9_9,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),e21) )],[refute_9_7,refute_9_8]) ).
cnf(refute_9_10,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),e23)) )],[refute_9_1,refute_9_9]) ).
cnf(refute_9_11,plain,
op2(e22,h4(e11)) = op2(e22,h4(e11)),
introduced(tautology,[refl,[$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( $equal(h4(e11),e21) )],[refute_9_10,refute_9_13]) ).
cnf(refute_9_15,plain,
h4(e12) = op2(e23,e23),
inference(canonicalize,[],[normalize_9_13]) ).
cnf(refute_9_16,plain,
e22 = op2(e23,e23),
inference(canonicalize,[],[normalize_9_14]) ).
cnf(refute_9_17,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_9_18,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_9_16,refute_9_17]) ).
cnf(refute_9_19,plain,
( h4(e12) != op2(e23,e23)
| op2(e23,e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_9_20,plain,
( h4(e12) != op2(e23,e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_9_18,refute_9_19]) ).
cnf(refute_9_21,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e23)) )],[refute_9_15,refute_9_20]) ).
cnf(refute_9_22,plain,
op2(h4(e12),h4(e11)) = op2(h4(e12),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_9_23,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_24,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e11)) = op2(e22,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) )],[refute_9_22,refute_9_23]) ).
cnf(refute_9_25,plain,
op2(h4(e12),h4(e11)) = op2(e22,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_21,refute_9_24]) ).
cnf(refute_9_26,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_9_27,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_9_5,refute_9_26]) ).
cnf(refute_9_28,plain,
( op2(e22,h4(e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) != op2(e22,h4(e11))
| op2(h4(e12),h4(e11)) = op2(e22,e21) ),
inference(subst,[],[refute_9_27:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e22,h4(e11)))),bind(Z,$fot(op2(e22,e21)))]]) ).
cnf(refute_9_29,plain,
( op2(e22,h4(e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,h4(e11))) )],[refute_9_25,refute_9_28]) ).
cnf(refute_9_30,plain,
op2(h4(e12),h4(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,e21)) )],[refute_9_14,refute_9_29]) ).
cnf(refute_9_31,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| op2(h4(e12),h4(e11)) != op2(e22,e21)
| h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_9_32,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e22,e21)) )],[refute_9_30,refute_9_31]) ).
cnf(refute_9_33,plain,
h4(op1(e12,e11)) != op2(e22,e21),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) )],[refute_9_32,refute_9_0]) ).
cnf(refute_9_34,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(canonicalize,[],[normalize_9_16]) ).
cnf(refute_9_35,plain,
h2(e12) = op2(e21,e21),
inference(canonicalize,[],[normalize_9_17]) ).
cnf(refute_9_36,plain,
( h2(e12) != op2(e21,e21)
| op2(e21,e21) = h2(e12) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h2(e12))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_9_37,plain,
op2(e21,e21) = h2(e12),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e21)) )],[refute_9_35,refute_9_36]) ).
cnf(refute_9_38,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e12)
| h2(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e12))]]) ).
cnf(refute_9_39,plain,
( op2(e21,e21) != e22
| h2(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_9_37,refute_9_38]) ).
cnf(refute_9_40,plain,
( h2(e12) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_9_34,refute_9_39]) ).
cnf(refute_9_41,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_9_19]) ).
cnf(refute_9_42,plain,
( op2(e23,e21) != e22
| op2(e23,e23) != e22
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_9_43,plain,
( op2(e23,e21) != e22
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_9_18,refute_9_42]) ).
cnf(refute_9_44,plain,
op2(e23,e21) != e22,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_9_43,refute_9_41]) ).
cnf(refute_9_45,plain,
( h2(e12) = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_9_40,refute_9_44]) ).
cnf(refute_9_46,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_9_23]) ).
cnf(refute_9_47,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e12)
| h2(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e12))]]) ).
cnf(refute_9_48,plain,
( op2(e21,e21) != e20
| h2(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_9_37,refute_9_47]) ).
cnf(refute_9_49,plain,
( h2(e12) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_9_46,refute_9_48]) ).
cnf(refute_9_50,plain,
h3(e12) = op2(e22,e22),
inference(canonicalize,[],[normalize_9_24]) ).
cnf(refute_9_51,plain,
( h3(e12) != op2(e22,e22)
| op2(e22,e22) = h3(e12) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_9_52,plain,
op2(e22,e22) = h3(e12),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e22)) )],[refute_9_50,refute_9_51]) ).
cnf(refute_9_53,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e12)
| h3(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e12))]]) ).
cnf(refute_9_54,plain,
( op2(e22,e22) != e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_9_52,refute_9_53]) ).
cnf(refute_9_55,plain,
( h2(e12) = e20
| h3(e12) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_9_49,refute_9_54]) ).
cnf(refute_9_56,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_9_57,plain,
( op2(e23,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_9_18,refute_9_56]) ).
cnf(refute_9_58,plain,
( e22 = e20
| h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_9_55,refute_9_57]) ).
cnf(refute_9_59,plain,
e20 != e22,
inference(canonicalize,[],[normalize_9_26]) ).
cnf(refute_9_60,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_9_61,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_9_60,refute_9_59]) ).
cnf(refute_9_62,plain,
( h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_9_58,refute_9_61]) ).
cnf(refute_9_63,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_9_27]) ).
cnf(refute_9_64,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_9_65,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_9_52,refute_9_64]) ).
cnf(refute_9_66,plain,
h3(e12) != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_9_65,refute_9_63]) ).
cnf(refute_9_67,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_9_28]) ).
cnf(refute_9_68,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_9_69,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_9_70,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_9_68,refute_9_69]) ).
cnf(refute_9_71,plain,
op2(e23,op2(e23,e23)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_9_18,refute_9_70]) ).
cnf(refute_9_72,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_9_73,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e22)) )],[refute_9_71,refute_9_72]) ).
cnf(refute_9_74,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_9_67,refute_9_73]) ).
cnf(refute_9_75,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_9_76,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_9_74,refute_9_75]) ).
cnf(refute_9_77,plain,
( h3(e12) != e20
| op2(e23,e22) != e20
| h3(e12) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_9_78,plain,
( h3(e12) != e20
| h3(e12) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_9_76,refute_9_77]) ).
cnf(refute_9_79,plain,
h3(e12) != e20,
inference(resolve,[$cnf( $equal(h3(e12),op2(e23,e22)) )],[refute_9_78,refute_9_66]) ).
cnf(refute_9_80,plain,
h2(e12) = e20,
inference(resolve,[$cnf( $equal(h3(e12),e20) )],[refute_9_62,refute_9_79]) ).
cnf(refute_9_81,plain,
( h2(e12) != e20
| h2(e12) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e22) ),[0],$fot(e20)]]) ).
cnf(refute_9_82,plain,
( h2(e12) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_9_80,refute_9_81]) ).
cnf(refute_9_83,plain,
( e20 = e22
| op2(e20,e21) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(h2(e12),e22) )],[refute_9_45,refute_9_82]) ).
cnf(refute_9_84,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_9_29]) ).
cnf(refute_9_85,plain,
h1(e12) = op2(e20,e20),
inference(canonicalize,[],[normalize_9_30]) ).
cnf(refute_9_86,plain,
( h1(e12) != op2(e20,e20)
| op2(e20,e20) = h1(e12) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h1(e12))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_9_87,plain,
op2(e20,e20) = h1(e12),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,e20)) )],[refute_9_85,refute_9_86]) ).
cnf(refute_9_88,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_9_89,plain,
( op2(e20,e20) != h1(e12)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e12))]]) ).
cnf(refute_9_90,plain,
( op2(e20,e20) != h1(e12)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e12)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_9_88,refute_9_89]) ).
cnf(refute_9_91,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e12)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_9_87,refute_9_90]) ).
cnf(refute_9_92,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) != op2(e20,h1(e12))
| h1(e10) = op2(e20,h1(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e20,h1(e12))) ),[0],$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_9_93,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| h1(e10) = op2(e20,h1(e12)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e12))) )],[refute_9_91,refute_9_92]) ).
cnf(refute_9_94,plain,
h1(e10) = op2(e20,h1(e12)),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,op2(e20,e20))) )],[refute_9_84,refute_9_93]) ).
cnf(refute_9_95,plain,
( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(canonicalize,[],[normalize_9_33]) ).
cnf(refute_9_96,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e12)
| h1(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e12))]]) ).
cnf(refute_9_97,plain,
( op2(e20,e20) != e21
| h1(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_9_87,refute_9_96]) ).
cnf(refute_9_98,plain,
( h1(e12) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_9_95,refute_9_97]) ).
cnf(refute_9_99,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e12)
| h3(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e12))]]) ).
cnf(refute_9_100,plain,
( op2(e22,e22) != e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_9_52,refute_9_99]) ).
cnf(refute_9_101,plain,
( h1(e12) = e21
| h3(e12) = e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_9_98,refute_9_100]) ).
cnf(refute_9_102,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[0],$fot(e22)]]) ).
cnf(refute_9_103,plain,
( op2(e23,e23) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_9_18,refute_9_102]) ).
cnf(refute_9_104,plain,
( e22 = e21
| h1(e12) = e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_101,refute_9_103]) ).
cnf(refute_9_105,plain,
e21 != e22,
inference(canonicalize,[],[normalize_9_34]) ).
cnf(refute_9_106,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_9_107,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_9_106,refute_9_105]) ).
cnf(refute_9_108,plain,
( h1(e12) = e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_9_104,refute_9_107]) ).
cnf(refute_9_109,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_9_35]) ).
cnf(refute_9_110,plain,
( h3(e12) != op2(e22,e23)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_9_111,plain,
( h3(e12) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_9_52,refute_9_110]) ).
cnf(refute_9_112,plain,
h3(e12) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_9_111,refute_9_109]) ).
cnf(refute_9_113,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_9_114,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_9_115,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_9_113,refute_9_114]) ).
cnf(refute_9_116,plain,
op2(op2(e23,e23),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_9_18,refute_9_115]) ).
cnf(refute_9_117,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_9_118,plain,
( e21 != op2(op2(e23,e23),e23)
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e22,e23)) )],[refute_9_116,refute_9_117]) ).
cnf(refute_9_119,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_9_2,refute_9_118]) ).
cnf(refute_9_120,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_9_121,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_9_119,refute_9_120]) ).
cnf(refute_9_122,plain,
( h3(e12) != e21
| op2(e22,e23) != e21
| h3(e12) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_9_123,plain,
( h3(e12) != e21
| h3(e12) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_9_121,refute_9_122]) ).
cnf(refute_9_124,plain,
h3(e12) != e21,
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e23)) )],[refute_9_123,refute_9_112]) ).
cnf(refute_9_125,plain,
h1(e12) = e21,
inference(resolve,[$cnf( $equal(h3(e12),e21) )],[refute_9_108,refute_9_124]) ).
cnf(refute_9_126,plain,
op2(e20,h1(e12)) = op2(e20,h1(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h1(e12)))]]) ).
cnf(refute_9_127,plain,
( h1(e12) != e21
| op2(e20,h1(e12)) != op2(e20,h1(e12))
| op2(e20,h1(e12)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e12)),op2(e20,h1(e12))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_128,plain,
( h1(e12) != e21
| op2(e20,h1(e12)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e12)),op2(e20,h1(e12))) )],[refute_9_126,refute_9_127]) ).
cnf(refute_9_129,plain,
op2(e20,h1(e12)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_9_125,refute_9_128]) ).
cnf(refute_9_130,plain,
( h1(e10) != op2(e20,h1(e12))
| op2(e20,h1(e12)) != op2(e20,e21)
| h1(e10) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e20,e21)) ),[0],$fot(op2(e20,h1(e12)))]]) ).
cnf(refute_9_131,plain,
( h1(e10) != op2(e20,h1(e12))
| h1(e10) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e12)),op2(e20,e21)) )],[refute_9_129,refute_9_130]) ).
cnf(refute_9_132,plain,
h1(e10) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e12))) )],[refute_9_94,refute_9_131]) ).
cnf(refute_9_133,plain,
( h1(e10) != op2(e20,e21)
| op2(e20,e21) = h1(e10) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_9_134,plain,
op2(e20,e21) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e21)) )],[refute_9_132,refute_9_133]) ).
cnf(refute_9_135,plain,
( op2(e20,e21) != e22
| op2(e20,e21) != h1(e10)
| h1(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e22) ),[0],$fot(h1(e10))]]) ).
cnf(refute_9_136,plain,
( op2(e20,e21) != e22
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e10)) )],[refute_9_134,refute_9_135]) ).
cnf(refute_9_137,plain,
( e20 = e22
| h1(e10) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_9_83,refute_9_136]) ).
cnf(refute_9_138,plain,
( h1(e10) = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_9_137,refute_9_59]) ).
cnf(refute_9_139,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_9_36]) ).
cnf(refute_9_140,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_9_141,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_142,plain,
( h4(e11) != e21
| op2(e20,h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_9_140,refute_9_141]) ).
cnf(refute_9_143,plain,
op2(e20,h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_9_10,refute_9_142]) ).
cnf(refute_9_144,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_9_37]) ).
cnf(refute_9_145,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_9_146,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_9_67,refute_9_145]) ).
cnf(refute_9_147,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_9_148,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_9_146,refute_9_147]) ).
cnf(refute_9_149,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_9_144,refute_9_148]) ).
cnf(refute_9_150,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_9_151,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_152,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_9_150,refute_9_151]) ).
cnf(refute_9_153,plain,
op2(h4(e10),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_9_149,refute_9_152]) ).
cnf(refute_9_154,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_9_27:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_9_155,plain,
( op2(e20,h4(e11)) != op2(e20,e21)
| op2(h4(e10),h4(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,h4(e11))) )],[refute_9_153,refute_9_154]) ).
cnf(refute_9_156,plain,
op2(h4(e10),h4(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,e21)) )],[refute_9_143,refute_9_155]) ).
cnf(refute_9_157,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(e20,e21)) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_9_158,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(e20,e21)) )],[refute_9_156,refute_9_157]) ).
cnf(refute_9_159,plain,
h4(op1(e10,e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_9_139,refute_9_158]) ).
cnf(refute_9_160,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| op2(e20,e21) != h1(e10)
| h4(op1(e10,e11)) = h1(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),h1(e10)) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_9_161,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e11)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e10)) )],[refute_9_134,refute_9_160]) ).
cnf(refute_9_162,plain,
h4(op1(e10,e11)) = h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(e20,e21)) )],[refute_9_159,refute_9_161]) ).
cnf(refute_9_163,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_9_38]) ).
cnf(refute_9_164,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_9_40]) ).
cnf(refute_9_165,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(canonicalize,[],[normalize_9_44]) ).
cnf(refute_9_166,plain,
e12 = op1(e13,e13),
inference(canonicalize,[],[normalize_9_46]) ).
cnf(refute_9_167,plain,
( e12 != op1(e13,e13)
| op1(e13,e13) = e12 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_9_168,plain,
op1(e13,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_9_166,refute_9_167]) ).
cnf(refute_9_169,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[0],$fot(e12)]]) ).
cnf(refute_9_170,plain,
( op1(e13,e13) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_9_168,refute_9_169]) ).
cnf(refute_9_171,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_165,refute_9_170]) ).
cnf(refute_9_172,plain,
e11 != e12,
inference(canonicalize,[],[normalize_9_48]) ).
cnf(refute_9_173,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_9_174,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_9_173,refute_9_172]) ).
cnf(refute_9_175,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_9_171,refute_9_174]) ).
cnf(refute_9_176,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_9_50]) ).
cnf(refute_9_177,plain,
e11 = op1(op1(e13,e13),e13),
inference(canonicalize,[],[normalize_9_51]) ).
cnf(refute_9_178,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_9_179,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(e12)]]) ).
cnf(refute_9_180,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_9_178,refute_9_179]) ).
cnf(refute_9_181,plain,
op1(op1(e13,e13),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_9_168,refute_9_180]) ).
cnf(refute_9_182,plain,
( e11 != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_9_183,plain,
( e11 != op1(op1(e13,e13),e13)
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e12,e13)) )],[refute_9_181,refute_9_182]) ).
cnf(refute_9_184,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),e13)) )],[refute_9_177,refute_9_183]) ).
cnf(refute_9_185,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_9_186,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_9_184,refute_9_185]) ).
cnf(refute_9_187,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_9_188,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_9_186,refute_9_187]) ).
cnf(refute_9_189,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_9_188,refute_9_176]) ).
cnf(refute_9_190,plain,
op1(e10,e10) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_9_175,refute_9_189]) ).
cnf(refute_9_191,plain,
( op1(e10,e10) != e11
| op1(e10,e10) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[0],$fot(e11)]]) ).
cnf(refute_9_192,plain,
( op1(e10,e10) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_9_190,refute_9_191]) ).
cnf(refute_9_193,plain,
( e11 = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_9_164,refute_9_192]) ).
cnf(refute_9_194,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_9_52]) ).
cnf(refute_9_195,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_9_196,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_197,plain,
( h4(e12) != e22
| op2(e20,h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_9_195,refute_9_196]) ).
cnf(refute_9_198,plain,
op2(e20,h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_21,refute_9_197]) ).
cnf(refute_9_199,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_9_200,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_201,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_9_199,refute_9_200]) ).
cnf(refute_9_202,plain,
op2(h4(e10),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_9_149,refute_9_201]) ).
cnf(refute_9_203,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_9_27:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_9_204,plain,
( op2(e20,h4(e12)) != op2(e20,e22)
| op2(h4(e10),h4(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h4(e12))) )],[refute_9_202,refute_9_203]) ).
cnf(refute_9_205,plain,
op2(h4(e10),h4(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e22)) )],[refute_9_198,refute_9_204]) ).
cnf(refute_9_206,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,e22)
| h4(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_9_207,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,e22)) )],[refute_9_205,refute_9_206]) ).
cnf(refute_9_208,plain,
h4(op1(e10,e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_9_194,refute_9_207]) ).
cnf(refute_9_209,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_9_54]) ).
cnf(refute_9_210,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_9_55]) ).
cnf(refute_9_211,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_9_56]) ).
cnf(refute_9_212,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_9_213,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_9_214,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_9_212,refute_9_213]) ).
cnf(refute_9_215,plain,
op1(e13,op1(e13,e13)) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_9_168,refute_9_214]) ).
cnf(refute_9_216,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_9_217,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e12)) )],[refute_9_215,refute_9_216]) ).
cnf(refute_9_218,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_9_211,refute_9_217]) ).
cnf(refute_9_219,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_9_220,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_9_218,refute_9_219]) ).
cnf(refute_9_221,plain,
( op1(e10,e12) != e10
| op1(e13,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_9_222,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_9_220,refute_9_221]) ).
cnf(refute_9_223,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_9_222,refute_9_210]) ).
cnf(refute_9_224,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_9_209,refute_9_223]) ).
cnf(refute_9_225,plain,
op1(e10,e10) != op1(e10,e12),
inference(canonicalize,[],[normalize_9_57]) ).
cnf(refute_9_226,plain,
( e11 != op1(e10,e12)
| op1(e10,e10) != e11
| op1(e10,e10) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_9_227,plain,
( e11 != op1(e10,e12)
| op1(e10,e10) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_9_190,refute_9_226]) ).
cnf(refute_9_228,plain,
e11 != op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_9_227,refute_9_225]) ).
cnf(refute_9_229,plain,
( op1(e10,e12) != e11
| e11 = op1(e10,e12) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(e11))]]) ).
cnf(refute_9_230,plain,
op1(e10,e12) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e12)) )],[refute_9_229,refute_9_228]) ).
cnf(refute_9_231,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_9_224,refute_9_230]) ).
cnf(refute_9_232,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| op1(e10,e12) != e13
| h4(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) ),[0,0],$fot(e13)]]) ).
cnf(refute_9_233,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(e13) = op2(e20,e22)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_9_231,refute_9_232]) ).
cnf(refute_9_234,plain,
( h4(e13) = op2(e20,e22)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,e22)) )],[refute_9_208,refute_9_233]) ).
cnf(refute_9_235,plain,
( h4(e13) != e23
| h4(e13) != op2(e20,e22)
| e23 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e20,e22)) ),[0],$fot(e23)]]) ).
cnf(refute_9_236,plain,
( h4(e13) != op2(e20,e22)
| e23 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_9_163,refute_9_235]) ).
cnf(refute_9_237,plain,
( e23 = op2(e20,e22)
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e22)) )],[refute_9_234,refute_9_236]) ).
cnf(refute_9_238,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_9_58]) ).
cnf(refute_9_239,plain,
( op2(e20,e22) != h3(e12)
| op2(e22,e22) != h3(e12)
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(h3(e12))]]) ).
cnf(refute_9_240,plain,
( op2(e20,e22) != h3(e12)
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_9_52,refute_9_239]) ).
cnf(refute_9_241,plain,
op2(e20,e22) != h3(e12),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_9_240,refute_9_238]) ).
cnf(refute_9_242,plain,
( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ),
inference(canonicalize,[],[normalize_9_61]) ).
cnf(refute_9_243,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e12)
| h1(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e12))]]) ).
cnf(refute_9_244,plain,
( op2(e20,e20) != e23
| h1(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_9_87,refute_9_243]) ).
cnf(refute_9_245,plain,
( h1(e12) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_9_242,refute_9_244]) ).
cnf(refute_9_246,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e12)
| h2(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e12))]]) ).
cnf(refute_9_247,plain,
( op2(e21,e21) != e23
| h2(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_9_37,refute_9_246]) ).
cnf(refute_9_248,plain,
( h1(e12) = e23
| h2(e12) = e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_9_245,refute_9_247]) ).
cnf(refute_9_249,plain,
( op2(e22,e22) != e23
| op2(e22,e22) != h3(e12)
| h3(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e12))]]) ).
cnf(refute_9_250,plain,
( op2(e22,e22) != e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_9_52,refute_9_249]) ).
cnf(refute_9_251,plain,
( h1(e12) = e23
| h2(e12) = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_248,refute_9_250]) ).
cnf(refute_9_252,plain,
( h1(e12) != e21
| h1(e12) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e23) ),[0],$fot(e21)]]) ).
cnf(refute_9_253,plain,
( h1(e12) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_9_125,refute_9_252]) ).
cnf(refute_9_254,plain,
( e21 = e23
| h2(e12) = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(h1(e12),e23) )],[refute_9_251,refute_9_253]) ).
cnf(refute_9_255,plain,
( h2(e12) != e20
| h2(e12) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e23) ),[0],$fot(e20)]]) ).
cnf(refute_9_256,plain,
( h2(e12) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_9_80,refute_9_255]) ).
cnf(refute_9_257,plain,
( e20 = e23
| e21 = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(h2(e12),e23) )],[refute_9_254,refute_9_256]) ).
cnf(refute_9_258,plain,
e20 != e23,
inference(canonicalize,[],[normalize_9_62]) ).
cnf(refute_9_259,plain,
( e21 = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_9_257,refute_9_258]) ).
cnf(refute_9_260,plain,
e21 != e23,
inference(canonicalize,[],[normalize_9_63]) ).
cnf(refute_9_261,plain,
h3(e12) = e23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_9_259,refute_9_260]) ).
cnf(refute_9_262,plain,
( h3(e12) != e23
| op2(e20,e22) != e23
| op2(e20,e22) = h3(e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h3(e12)) ),[1],$fot(e23)]]) ).
cnf(refute_9_263,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = h3(e12) ),
inference(resolve,[$cnf( $equal(h3(e12),e23) )],[refute_9_261,refute_9_262]) ).
cnf(refute_9_264,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),h3(e12)) )],[refute_9_263,refute_9_241]) ).
cnf(refute_9_265,plain,
( e23 != op2(e20,e22)
| op2(e20,e22) = e23 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_9_266,plain,
e23 != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_9_265,refute_9_264]) ).
cnf(refute_9_267,plain,
op1(e10,e12) = e12,
inference(resolve,[$cnf( $equal(e23,op2(e20,e22)) )],[refute_9_237,refute_9_266]) ).
cnf(refute_9_268,plain,
( op1(e10,e12) != e12
| op1(e10,e12) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e13) ),[0],$fot(e12)]]) ).
cnf(refute_9_269,plain,
( op1(e10,e12) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_9_267,refute_9_268]) ).
cnf(refute_9_270,plain,
( e11 = e13
| e12 = e13
| op1(e10,e11) = e13
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_9_193,refute_9_269]) ).
cnf(refute_9_271,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_9_64]) ).
cnf(refute_9_272,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_9_273,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_274,plain,
( h4(e13) != e23
| op2(e20,h4(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_9_272,refute_9_273]) ).
cnf(refute_9_275,plain,
op2(e20,h4(e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_9_163,refute_9_274]) ).
cnf(refute_9_276,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_9_277,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_278,plain,
( h4(e10) != e20
| op2(h4(e10),h4(e13)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_9_276,refute_9_277]) ).
cnf(refute_9_279,plain,
op2(h4(e10),h4(e13)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_9_149,refute_9_278]) ).
cnf(refute_9_280,plain,
( op2(e20,h4(e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) != op2(e20,h4(e13))
| op2(h4(e10),h4(e13)) = op2(e20,e23) ),
inference(subst,[],[refute_9_27:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_9_281,plain,
( op2(e20,h4(e13)) != op2(e20,e23)
| op2(h4(e10),h4(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,h4(e13))) )],[refute_9_279,refute_9_280]) ).
cnf(refute_9_282,plain,
op2(h4(e10),h4(e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e23)) )],[refute_9_275,refute_9_281]) ).
cnf(refute_9_283,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) != op2(e20,e23)
| h4(op1(e10,e13)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_9_284,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(e20,e23)) )],[refute_9_282,refute_9_283]) ).
cnf(refute_9_285,plain,
h4(op1(e10,e13)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_9_271,refute_9_284]) ).
cnf(refute_9_286,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_9_65]) ).
cnf(refute_9_287,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_9_66]) ).
cnf(refute_9_288,plain,
( op1(e10,e13) != e12
| op1(e13,e13) != e12
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_9_289,plain,
( op1(e10,e13) != e12
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_9_168,refute_9_288]) ).
cnf(refute_9_290,plain,
op1(e10,e13) != e12,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_9_289,refute_9_287]) ).
cnf(refute_9_291,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_9_286,refute_9_290]) ).
cnf(refute_9_292,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_9_67]) ).
cnf(refute_9_293,plain,
( op1(e10,e13) != e11
| op1(e12,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_9_294,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_9_186,refute_9_293]) ).
cnf(refute_9_295,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_9_294,refute_9_292]) ).
cnf(refute_9_296,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_9_291,refute_9_295]) ).
cnf(refute_9_297,plain,
( h4(op1(e10,e13)) != op2(e20,e23)
| op1(e10,e13) != e13
| h4(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) ),[0,0],$fot(e13)]]) ).
cnf(refute_9_298,plain,
( h4(op1(e10,e13)) != op2(e20,e23)
| h4(e13) = op2(e20,e23)
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_9_296,refute_9_297]) ).
cnf(refute_9_299,plain,
( h4(e13) = op2(e20,e23)
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(e20,e23)) )],[refute_9_285,refute_9_298]) ).
cnf(refute_9_300,plain,
( h4(e13) != e23
| h4(e13) != op2(e20,e23)
| e23 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e20,e23)) ),[0],$fot(e23)]]) ).
cnf(refute_9_301,plain,
( h4(e13) != op2(e20,e23)
| e23 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_9_163,refute_9_300]) ).
cnf(refute_9_302,plain,
( e23 = op2(e20,e23)
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(h4(e13),op2(e20,e23)) )],[refute_9_299,refute_9_301]) ).
cnf(refute_9_303,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(canonicalize,[],[normalize_9_68]) ).
cnf(refute_9_304,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e12)
| h1(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e12))]]) ).
cnf(refute_9_305,plain,
( op2(e20,e20) != e20
| h1(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_9_87,refute_9_304]) ).
cnf(refute_9_306,plain,
( h1(e12) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_9_303,refute_9_305]) ).
cnf(refute_9_307,plain,
( h1(e12) != e20
| h1(e12) != e21
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e20) ),[0],$fot(e21)]]) ).
cnf(refute_9_308,plain,
( h1(e12) != e20
| e21 = e20 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_9_125,refute_9_307]) ).
cnf(refute_9_309,plain,
( e21 = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(h1(e12),e20) )],[refute_9_306,refute_9_308]) ).
cnf(refute_9_310,plain,
( op2(e20,e21) != e20
| op2(e20,e21) != h1(e10)
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_9_311,plain,
( op2(e20,e21) != e20
| h1(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e10)) )],[refute_9_134,refute_9_310]) ).
cnf(refute_9_312,plain,
( e21 = e20
| h1(e10) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_9_309,refute_9_311]) ).
cnf(refute_9_313,plain,
e20 != e21,
inference(canonicalize,[],[normalize_9_69]) ).
cnf(refute_9_314,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_9_315,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_9_314,refute_9_313]) ).
cnf(refute_9_316,plain,
( h1(e10) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_9_312,refute_9_315]) ).
cnf(refute_9_317,plain,
op2(e20,e21) != op2(e21,e21),
inference(canonicalize,[],[normalize_9_70]) ).
cnf(refute_9_318,plain,
( op2(e20,e21) != h2(e12)
| op2(e21,e21) != h2(e12)
| op2(e20,e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e12))]]) ).
cnf(refute_9_319,plain,
( op2(e20,e21) != h2(e12)
| op2(e20,e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_9_37,refute_9_318]) ).
cnf(refute_9_320,plain,
op2(e20,e21) != h2(e12),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_9_319,refute_9_317]) ).
cnf(refute_9_321,plain,
( h1(e10) != h2(e12)
| op2(e20,e21) != h1(e10)
| op2(e20,e21) = h2(e12) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),h1(e10)) ),[1],$fot(h2(e12))]]) ).
cnf(refute_9_322,plain,
( h1(e10) != h2(e12)
| op2(e20,e21) = h2(e12) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e10)) )],[refute_9_134,refute_9_321]) ).
cnf(refute_9_323,plain,
h1(e10) != h2(e12),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e12)) )],[refute_9_322,refute_9_320]) ).
cnf(refute_9_324,plain,
( h1(e10) != e20
| h2(e12) != e20
| h1(e10) = h2(e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h2(e12)) ),[1],$fot(e20)]]) ).
cnf(refute_9_325,plain,
( h1(e10) != e20
| h1(e10) = h2(e12) ),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_9_80,refute_9_324]) ).
cnf(refute_9_326,plain,
h1(e10) != e20,
inference(resolve,[$cnf( $equal(h1(e10),h2(e12)) )],[refute_9_325,refute_9_323]) ).
cnf(refute_9_327,plain,
( op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_9_316,refute_9_326]) ).
cnf(refute_9_328,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_9_71]) ).
cnf(refute_9_329,plain,
( op2(e20,e22) != e20
| op2(e23,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_9_330,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_9_76,refute_9_329]) ).
cnf(refute_9_331,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_9_330,refute_9_328]) ).
cnf(refute_9_332,plain,
op2(e20,e23) = e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_9_327,refute_9_331]) ).
cnf(refute_9_333,plain,
( e23 != op2(e20,e23)
| op2(e20,e23) != e20
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e20) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_9_334,plain,
( e23 != op2(e20,e23)
| e23 = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_9_332,refute_9_333]) ).
cnf(refute_9_335,plain,
( e23 = e20
| op1(e10,e13) = e10 ),
inference(resolve,[$cnf( $equal(e23,op2(e20,e23)) )],[refute_9_302,refute_9_334]) ).
cnf(refute_9_336,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_9_337,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_9_336,refute_9_258]) ).
cnf(refute_9_338,plain,
op1(e10,e13) = e10,
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_9_335,refute_9_337]) ).
cnf(refute_9_339,plain,
( op1(e10,e13) != e10
| op1(e10,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_9_340,plain,
( op1(e10,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_9_338,refute_9_339]) ).
cnf(refute_9_341,plain,
( e10 = e13
| e11 = e13
| e12 = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_9_270,refute_9_340]) ).
cnf(refute_9_342,plain,
e10 != e13,
inference(canonicalize,[],[normalize_9_72]) ).
cnf(refute_9_343,plain,
( e11 = e13
| e12 = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_9_341,refute_9_342]) ).
cnf(refute_9_344,plain,
e11 != e13,
inference(canonicalize,[],[normalize_9_73]) ).
cnf(refute_9_345,plain,
( e12 = e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_9_343,refute_9_344]) ).
cnf(refute_9_346,plain,
e12 != e13,
inference(canonicalize,[],[normalize_9_74]) ).
cnf(refute_9_347,plain,
op1(e10,e11) = e13,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_9_345,refute_9_346]) ).
cnf(refute_9_348,plain,
h4(op1(e10,e11)) = h4(op1(e10,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e11)))]]) ).
cnf(refute_9_349,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e11))
| op1(e10,e11) != e13
| h4(op1(e10,e11)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) ),[1,0],$fot(e13)]]) ).
cnf(refute_9_350,plain,
( op1(e10,e11) != e13
| h4(op1(e10,e11)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) )],[refute_9_348,refute_9_349]) ).
cnf(refute_9_351,plain,
h4(op1(e10,e11)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_9_347,refute_9_350]) ).
cnf(refute_9_352,plain,
( h4(e13) != e23
| h4(op1(e10,e11)) != h4(e13)
| h4(op1(e10,e11)) = e23 ),
inference(subst,[],[refute_9_27:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_9_353,plain,
( h4(e13) != e23
| h4(op1(e10,e11)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(e13)) )],[refute_9_351,refute_9_352]) ).
cnf(refute_9_354,plain,
h4(op1(e10,e11)) = e23,
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_9_163,refute_9_353]) ).
cnf(refute_9_355,plain,
( h4(op1(e10,e11)) != e23
| h4(op1(e10,e11)) != h1(e10)
| e23 = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h1(e10)) ),[0],$fot(e23)]]) ).
cnf(refute_9_356,plain,
( h4(op1(e10,e11)) != h1(e10)
| e23 = h1(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),e23) )],[refute_9_354,refute_9_355]) ).
cnf(refute_9_357,plain,
e23 = h1(e10),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h1(e10)) )],[refute_9_162,refute_9_356]) ).
cnf(refute_9_358,plain,
( e23 != h1(e10)
| h1(e10) = e23 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e23)),bind(Y,$fot(h1(e10)))]]) ).
cnf(refute_9_359,plain,
h1(e10) = e23,
inference(resolve,[$cnf( $equal(e23,h1(e10)) )],[refute_9_357,refute_9_358]) ).
cnf(refute_9_360,plain,
( h1(e10) != e22
| h1(e10) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),e22) ),[0],$fot(e23)]]) ).
cnf(refute_9_361,plain,
( h1(e10) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(h1(e10),e23) )],[refute_9_359,refute_9_360]) ).
cnf(refute_9_362,plain,
( e23 = e22
| op2(e22,e21) = e22 ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_9_138,refute_9_361]) ).
cnf(refute_9_363,plain,
e22 != e23,
inference(canonicalize,[],[normalize_9_75]) ).
cnf(refute_9_364,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_9_365,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_9_364,refute_9_363]) ).
cnf(refute_9_366,plain,
op2(e22,e21) = e22,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_9_362,refute_9_365]) ).
cnf(refute_9_367,plain,
( h4(op1(e12,e11)) != e22
| op2(e22,e21) != e22
| h4(op1(e12,e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e11)),op2(e22,e21)) ),[1],$fot(e22)]]) ).
cnf(refute_9_368,plain,
( h4(op1(e12,e11)) != e22
| h4(op1(e12,e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_9_366,refute_9_367]) ).
cnf(refute_9_369,plain,
h4(op1(e12,e11)) != e22,
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(e22,e21)) )],[refute_9_368,refute_9_33]) ).
cnf(refute_9_370,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(canonicalize,[],[normalize_9_76]) ).
cnf(refute_9_371,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_9_77]) ).
cnf(refute_9_372,plain,
( op1(e13,e11) != e12
| op1(e13,e13) != e12
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e12)]]) ).
cnf(refute_9_373,plain,
( op1(e13,e11) != e12
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_9_168,refute_9_372]) ).
cnf(refute_9_374,plain,
op1(e13,e11) != e12,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_9_373,refute_9_371]) ).
cnf(refute_9_375,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_9_370,refute_9_374]) ).
cnf(refute_9_376,plain,
( op1(e10,e11) != e12
| op1(e10,e11) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e12) ),[0],$fot(e13)]]) ).
cnf(refute_9_377,plain,
( op1(e10,e11) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_9_347,refute_9_376]) ).
cnf(refute_9_378,plain,
( e13 = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e12) )],[refute_9_375,refute_9_377]) ).
cnf(refute_9_379,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_9_80]) ).
cnf(refute_9_380,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_9_381,plain,
( op1(e13,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_9_168,refute_9_380]) ).
cnf(refute_9_382,plain,
( e12 = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_379,refute_9_381]) ).
cnf(refute_9_383,plain,
e10 != e12,
inference(canonicalize,[],[normalize_9_81]) ).
cnf(refute_9_384,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_9_385,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_9_384,refute_9_383]) ).
cnf(refute_9_386,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_9_382,refute_9_385]) ).
cnf(refute_9_387,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_9_82]) ).
cnf(refute_9_388,plain,
( op1(e12,e12) != e10
| op1(e13,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_9_389,plain,
( op1(e12,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_9_220,refute_9_388]) ).
cnf(refute_9_390,plain,
op1(e12,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_9_389,refute_9_387]) ).
cnf(refute_9_391,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_9_386,refute_9_390]) ).
cnf(refute_9_392,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e10)]]) ).
cnf(refute_9_393,plain,
( op1(e11,e11) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_9_391,refute_9_392]) ).
cnf(refute_9_394,plain,
( e10 = e12
| e13 = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_9_378,refute_9_393]) ).
cnf(refute_9_395,plain,
( e13 = e12
| op1(e12,e11) = e12 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_9_394,refute_9_383]) ).
cnf(refute_9_396,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_9_397,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_9_396,refute_9_346]) ).
cnf(refute_9_398,plain,
op1(e12,e11) = e12,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_9_395,refute_9_397]) ).
cnf(refute_9_399,plain,
h4(op1(e12,e11)) = h4(op1(e12,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e11)))]]) ).
cnf(refute_9_400,plain,
( h4(op1(e12,e11)) != h4(op1(e12,e11))
| op1(e12,e11) != e12
| h4(op1(e12,e11)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),h4(op1(e12,e11))) ),[1,0],$fot(e12)]]) ).
cnf(refute_9_401,plain,
( op1(e12,e11) != e12
| h4(op1(e12,e11)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),h4(op1(e12,e11))) )],[refute_9_399,refute_9_400]) ).
cnf(refute_9_402,plain,
h4(op1(e12,e11)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_9_398,refute_9_401]) ).
cnf(refute_9_403,plain,
( h4(e12) != e22
| h4(op1(e12,e11)) != h4(e12)
| h4(op1(e12,e11)) = e22 ),
inference(subst,[],[refute_9_27:[bind(X,$fot(h4(op1(e12,e11)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_9_404,plain,
( h4(e12) != e22
| h4(op1(e12,e11)) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),h4(e12)) )],[refute_9_402,refute_9_403]) ).
cnf(refute_9_405,plain,
h4(op1(e12,e11)) = e22,
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_9_21,refute_9_404]) ).
cnf(refute_9_406,plain,
( e22 != e22
| h4(op1(e12,e11)) != e22
| h4(op1(e12,e11)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),e22) ),[1],$fot(e22)]]) ).
cnf(refute_9_407,plain,
( e22 != e22
| h4(op1(e12,e11)) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e22) )],[refute_9_405,refute_9_406]) ).
cnf(refute_9_408,plain,
e22 != e22,
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),e22) )],[refute_9_407,refute_9_369]) ).
cnf(refute_9_409,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_9_410,plain,
$false,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_9_409,refute_9_408]) ).
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(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = 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(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = 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(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = 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(e12) = op2(e22,e22),
inference(conjunct,[],[normalize_10_5]) ).
fof(normalize_10_10,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_10_11,plain,
h4(e12) = op2(e23,e23),
inference(conjunct,[],[normalize_10_10]) ).
fof(normalize_10_12,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_10_13,plain,
e22 = op2(e23,e23),
inference(conjunct,[],[normalize_10_12]) ).
fof(normalize_10_14,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22 ) )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_10_15,plain,
( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) ),
inference(conjunct,[],[normalize_10_14]) ).
fof(normalize_10_16,plain,
( ( op2(e20,e23) != e20
| op2(e21,e23) != e21
| op2(e22,e23) != e22 )
& ( op2(e20,e23) != e20
| op2(e21,e23) != e21
| op2(e22,e22) = e23 )
& ( op2(e20,e23) != e20
| op2(e22,e23) != e22
| op2(e21,e21) = e23 )
& ( op2(e20,e23) != e20
| op2(e21,e21) = e23
| op2(e22,e22) = e23 )
& ( op2(e21,e23) != e21
| op2(e22,e23) != e22
| op2(e20,e20) = e23 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e22,e22) = e23 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ) ),
inference(clausify,[],[normalize_10_15]) ).
fof(normalize_10_17,plain,
( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ),
inference(conjunct,[],[normalize_10_16]) ).
fof(normalize_10_18,plain,
h1(e12) = op2(e20,e20),
inference(conjunct,[],[normalize_10_1]) ).
fof(normalize_10_19,plain,
h2(e12) = op2(e21,e21),
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_20,plain,
( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) ),
inference(conjunct,[],[normalize_10_14]) ).
fof(normalize_10_21,plain,
( ( op2(e20,e21) != e20
| op2(e22,e21) != e22
| op2(e23,e21) != e23 )
& ( op2(e20,e21) != e20
| op2(e22,e21) != e22
| op2(e23,e23) = e21 )
& ( op2(e20,e21) != e20
| op2(e23,e21) != e23
| op2(e22,e22) = e21 )
& ( op2(e20,e21) != e20
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e21) != e22
| op2(e23,e21) != e23
| op2(e20,e20) = e21 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e22,e22) = e21 )
& ( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ) ),
inference(clausify,[],[normalize_10_20]) ).
fof(normalize_10_22,plain,
( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(conjunct,[],[normalize_10_21]) ).
fof(normalize_10_23,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_10_24,plain,
e21 != e22,
inference(conjunct,[],[normalize_10_23]) ).
fof(normalize_10_25,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_26,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_10_25]) ).
fof(normalize_10_27,plain,
e21 = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_10_12]) ).
fof(normalize_10_28,plain,
( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ),
inference(conjunct,[],[normalize_10_14]) ).
fof(normalize_10_29,plain,
( ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e20) != e23 )
& ( op2(e21,e20) != e21
| op2(e22,e20) != e22
| op2(e23,e23) = e20 )
& ( op2(e21,e20) != e21
| op2(e23,e20) != e23
| op2(e22,e22) = e20 )
& ( op2(e21,e20) != e21
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e20) != e22
| op2(e23,e20) != e23
| op2(e21,e21) = e20 )
& ( op2(e22,e20) != e22
| op2(e21,e21) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) != e23
| op2(e21,e21) = e20
| op2(e22,e22) = e20 )
& ( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ) ),
inference(clausify,[],[normalize_10_28]) ).
fof(normalize_10_30,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(conjunct,[],[normalize_10_29]) ).
fof(normalize_10_31,plain,
e20 != e22,
inference(conjunct,[],[normalize_10_23]) ).
fof(normalize_10_32,plain,
op2(e22,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_10_25]) ).
fof(normalize_10_33,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_10_12]) ).
fof(normalize_10_34,plain,
e20 != e23,
inference(conjunct,[],[normalize_10_23]) ).
fof(normalize_10_35,plain,
e21 != e23,
inference(conjunct,[],[normalize_10_23]) ).
fof(normalize_10_36,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_10_10]) ).
fof(normalize_10_37,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12 ) )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_10_38,plain,
( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 ) ),
inference(conjunct,[],[normalize_10_37]) ).
fof(normalize_10_39,plain,
( ( op1(e10,e13) != e10
| op1(e11,e13) != e11
| op1(e12,e13) != e12 )
& ( op1(e10,e13) != e10
| op1(e11,e13) != e11
| op1(e12,e12) = e13 )
& ( op1(e10,e13) != e10
| op1(e12,e13) != e12
| op1(e11,e11) = e13 )
& ( op1(e10,e13) != e10
| op1(e11,e11) = e13
| op1(e12,e12) = e13 )
& ( op1(e11,e13) != e11
| op1(e12,e13) != e12
| op1(e10,e10) = e13 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e12,e12) = e13 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13 ) ),
inference(clausify,[],[normalize_10_38]) ).
fof(normalize_10_40,plain,
( op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13 ),
inference(conjunct,[],[normalize_10_39]) ).
fof(normalize_10_41,plain,
( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) ),
inference(conjunct,[],[normalize_10_37]) ).
fof(normalize_10_42,plain,
( ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e11) != e13 )
& ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e13) = e11 )
& ( op1(e10,e11) != e10
| op1(e13,e11) != e13
| op1(e12,e12) = e11 )
& ( op1(e10,e11) != e10
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e11) != e12
| op1(e13,e11) != e13
| op1(e10,e10) = e11 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e12,e12) = e11 )
& ( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ) ),
inference(clausify,[],[normalize_10_41]) ).
fof(normalize_10_43,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(conjunct,[],[normalize_10_42]) ).
fof(normalize_10_44,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_10_45,plain,
e12 = op1(e13,e13),
inference(conjunct,[],[normalize_10_44]) ).
fof(normalize_10_46,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_10_47,plain,
e11 != e12,
inference(conjunct,[],[normalize_10_46]) ).
fof(normalize_10_48,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_49,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_10_48]) ).
fof(normalize_10_50,plain,
e11 = op1(op1(e13,e13),e13),
inference(conjunct,[],[normalize_10_44]) ).
fof(normalize_10_51,plain,
( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ),
inference(conjunct,[],[normalize_10_37]) ).
fof(normalize_10_52,plain,
( ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e10) != e13 )
& ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e13) = e10 )
& ( op1(e11,e10) != e11
| op1(e13,e10) != e13
| op1(e12,e12) = e10 )
& ( op1(e11,e10) != e11
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e10) != e12
| op1(e13,e10) != e13
| op1(e11,e11) = e10 )
& ( op1(e12,e10) != e12
| op1(e11,e11) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) != e13
| op1(e11,e11) = e10
| op1(e12,e12) = e10 )
& ( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ) ),
inference(clausify,[],[normalize_10_51]) ).
fof(normalize_10_53,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_10_52]) ).
fof(normalize_10_54,plain,
e10 != e12,
inference(conjunct,[],[normalize_10_46]) ).
fof(normalize_10_55,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_10_48]) ).
fof(normalize_10_56,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_10_44]) ).
fof(normalize_10_57,plain,
e10 != e13,
inference(conjunct,[],[normalize_10_46]) ).
fof(normalize_10_58,plain,
e11 != e13,
inference(conjunct,[],[normalize_10_46]) ).
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(e12) = 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( $equal(X,X) )],[refute_10_2,refute_10_3]) ).
cnf(refute_10_5,plain,
( h3(e12) != op2(e22,e22)
| op2(e22,e22) = h3(e12) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_10_6,plain,
op2(e22,e22) = h3(e12),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e22)) )],[refute_10_1,refute_10_5]) ).
cnf(refute_10_7,plain,
h4(e12) = op2(e23,e23),
inference(canonicalize,[],[normalize_10_11]) ).
cnf(refute_10_8,plain,
e22 = op2(e23,e23),
inference(canonicalize,[],[normalize_10_13]) ).
cnf(refute_10_9,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_10_10,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_10_8,refute_10_9]) ).
cnf(refute_10_11,plain,
( h4(e12) != op2(e23,e23)
| op2(e23,e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_10_12,plain,
( h4(e12) != op2(e23,e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_10_10,refute_10_11]) ).
cnf(refute_10_13,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e23)) )],[refute_10_7,refute_10_12]) ).
cnf(refute_10_14,plain,
op2(e22,h4(e12)) = op2(e22,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e12)))]]) ).
cnf(refute_10_15,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_16,plain,
( h4(e12) != e22
| op2(e22,h4(e12)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,h4(e12))) )],[refute_10_14,refute_10_15]) ).
cnf(refute_10_17,plain,
op2(e22,h4(e12)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_13,refute_10_16]) ).
cnf(refute_10_18,plain,
op2(h4(e12),h4(e12)) = op2(h4(e12),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e12)))]]) ).
cnf(refute_10_19,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_20,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e12)) = op2(e22,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) )],[refute_10_18,refute_10_19]) ).
cnf(refute_10_21,plain,
op2(h4(e12),h4(e12)) = op2(e22,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_10_13,refute_10_20]) ).
cnf(refute_10_22,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_10_23,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_10_4,refute_10_22]) ).
cnf(refute_10_24,plain,
( op2(e22,h4(e12)) != op2(e22,e22)
| op2(h4(e12),h4(e12)) != op2(e22,h4(e12))
| op2(h4(e12),h4(e12)) = op2(e22,e22) ),
inference(subst,[],[refute_10_23:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e22,h4(e12)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_10_25,plain,
( op2(e22,h4(e12)) != op2(e22,e22)
| op2(h4(e12),h4(e12)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e22,h4(e12))) )],[refute_10_21,refute_10_24]) ).
cnf(refute_10_26,plain,
op2(h4(e12),h4(e12)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,h4(e12)),op2(e22,e22)) )],[refute_10_17,refute_10_25]) ).
cnf(refute_10_27,plain,
( op2(e22,e22) != h3(e12)
| op2(h4(e12),h4(e12)) != op2(e22,e22)
| op2(h4(e12),h4(e12)) = h3(e12) ),
inference(subst,[],[refute_10_23:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h3(e12)))]]) ).
cnf(refute_10_28,plain,
( op2(e22,e22) != h3(e12)
| op2(h4(e12),h4(e12)) = h3(e12) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e22,e22)) )],[refute_10_26,refute_10_27]) ).
cnf(refute_10_29,plain,
op2(h4(e12),h4(e12)) = h3(e12),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_10_6,refute_10_28]) ).
cnf(refute_10_30,plain,
( h4(op1(e12,e12)) != h3(e12)
| op2(h4(e12),h4(e12)) != h3(e12)
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e12)),op2(h4(e12),h4(e12))) ),[1],$fot(h3(e12))]]) ).
cnf(refute_10_31,plain,
( h4(op1(e12,e12)) != h3(e12)
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),h3(e12)) )],[refute_10_29,refute_10_30]) ).
cnf(refute_10_32,plain,
h4(op1(e12,e12)) != h3(e12),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),op2(h4(e12),h4(e12))) )],[refute_10_31,refute_10_0]) ).
cnf(refute_10_33,plain,
( op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ),
inference(canonicalize,[],[normalize_10_17]) ).
cnf(refute_10_34,plain,
h1(e12) = op2(e20,e20),
inference(canonicalize,[],[normalize_10_18]) ).
cnf(refute_10_35,plain,
( h1(e12) != op2(e20,e20)
| op2(e20,e20) = h1(e12) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h1(e12))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_10_36,plain,
op2(e20,e20) = h1(e12),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,e20)) )],[refute_10_34,refute_10_35]) ).
cnf(refute_10_37,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e12)
| h1(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e12))]]) ).
cnf(refute_10_38,plain,
( op2(e20,e20) != e23
| h1(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_10_36,refute_10_37]) ).
cnf(refute_10_39,plain,
( h1(e12) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_10_33,refute_10_38]) ).
cnf(refute_10_40,plain,
h2(e12) = op2(e21,e21),
inference(canonicalize,[],[normalize_10_19]) ).
cnf(refute_10_41,plain,
( h2(e12) != op2(e21,e21)
| op2(e21,e21) = h2(e12) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h2(e12))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_10_42,plain,
op2(e21,e21) = h2(e12),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e21)) )],[refute_10_40,refute_10_41]) ).
cnf(refute_10_43,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e12)
| h2(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e12))]]) ).
cnf(refute_10_44,plain,
( op2(e21,e21) != e23
| h2(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_10_42,refute_10_43]) ).
cnf(refute_10_45,plain,
( h1(e12) = e23
| h2(e12) = e23
| op2(e22,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_10_39,refute_10_44]) ).
cnf(refute_10_46,plain,
( op2(e22,e22) != e23
| op2(e22,e22) != h3(e12)
| h3(e12) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[0],$fot(h3(e12))]]) ).
cnf(refute_10_47,plain,
( op2(e22,e22) != e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_10_6,refute_10_46]) ).
cnf(refute_10_48,plain,
( h1(e12) = e23
| h2(e12) = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_10_45,refute_10_47]) ).
cnf(refute_10_49,plain,
( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(canonicalize,[],[normalize_10_22]) ).
cnf(refute_10_50,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e12)
| h1(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e12))]]) ).
cnf(refute_10_51,plain,
( op2(e20,e20) != e21
| h1(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_10_36,refute_10_50]) ).
cnf(refute_10_52,plain,
( h1(e12) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_10_49,refute_10_51]) ).
cnf(refute_10_53,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e12)
| h3(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e12))]]) ).
cnf(refute_10_54,plain,
( op2(e22,e22) != e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_10_6,refute_10_53]) ).
cnf(refute_10_55,plain,
( h1(e12) = e21
| h3(e12) = e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_10_52,refute_10_54]) ).
cnf(refute_10_56,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[0],$fot(e22)]]) ).
cnf(refute_10_57,plain,
( op2(e23,e23) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_10_10,refute_10_56]) ).
cnf(refute_10_58,plain,
( e22 = e21
| h1(e12) = e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_55,refute_10_57]) ).
cnf(refute_10_59,plain,
e21 != e22,
inference(canonicalize,[],[normalize_10_24]) ).
cnf(refute_10_60,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_10_61,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_10_60,refute_10_59]) ).
cnf(refute_10_62,plain,
( h1(e12) = e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_10_58,refute_10_61]) ).
cnf(refute_10_63,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_10_26]) ).
cnf(refute_10_64,plain,
( h3(e12) != op2(e22,e23)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_10_65,plain,
( h3(e12) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_10_6,refute_10_64]) ).
cnf(refute_10_66,plain,
h3(e12) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_10_65,refute_10_63]) ).
cnf(refute_10_67,plain,
e21 = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_10_27]) ).
cnf(refute_10_68,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_10_69,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_10_70,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_10_68,refute_10_69]) ).
cnf(refute_10_71,plain,
op2(op2(e23,e23),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_10_10,refute_10_70]) ).
cnf(refute_10_72,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_10_73,plain,
( e21 != op2(op2(e23,e23),e23)
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e22,e23)) )],[refute_10_71,refute_10_72]) ).
cnf(refute_10_74,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_10_67,refute_10_73]) ).
cnf(refute_10_75,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_10_76,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_10_74,refute_10_75]) ).
cnf(refute_10_77,plain,
( h3(e12) != e21
| op2(e22,e23) != e21
| h3(e12) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_10_78,plain,
( h3(e12) != e21
| h3(e12) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_10_76,refute_10_77]) ).
cnf(refute_10_79,plain,
h3(e12) != e21,
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e23)) )],[refute_10_78,refute_10_66]) ).
cnf(refute_10_80,plain,
h1(e12) = e21,
inference(resolve,[$cnf( $equal(h3(e12),e21) )],[refute_10_62,refute_10_79]) ).
cnf(refute_10_81,plain,
( h1(e12) != e21
| h1(e12) != e23
| e21 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e23) ),[0],$fot(e21)]]) ).
cnf(refute_10_82,plain,
( h1(e12) != e23
| e21 = e23 ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_10_80,refute_10_81]) ).
cnf(refute_10_83,plain,
( e21 = e23
| h2(e12) = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(h1(e12),e23) )],[refute_10_48,refute_10_82]) ).
cnf(refute_10_84,plain,
( op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(canonicalize,[],[normalize_10_30]) ).
cnf(refute_10_85,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e12)
| h2(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e12))]]) ).
cnf(refute_10_86,plain,
( op2(e21,e21) != e20
| h2(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_10_42,refute_10_85]) ).
cnf(refute_10_87,plain,
( h2(e12) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_10_84,refute_10_86]) ).
cnf(refute_10_88,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h3(e12)
| h3(e12) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h3(e12))]]) ).
cnf(refute_10_89,plain,
( op2(e22,e22) != e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_10_6,refute_10_88]) ).
cnf(refute_10_90,plain,
( h2(e12) = e20
| h3(e12) = e20
| op2(e23,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_10_87,refute_10_89]) ).
cnf(refute_10_91,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(e22)]]) ).
cnf(refute_10_92,plain,
( op2(e23,e23) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_10_10,refute_10_91]) ).
cnf(refute_10_93,plain,
( e22 = e20
| h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_10_90,refute_10_92]) ).
cnf(refute_10_94,plain,
e20 != e22,
inference(canonicalize,[],[normalize_10_31]) ).
cnf(refute_10_95,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_10_96,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_10_95,refute_10_94]) ).
cnf(refute_10_97,plain,
( h2(e12) = e20
| h3(e12) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_10_93,refute_10_96]) ).
cnf(refute_10_98,plain,
op2(e22,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_10_32]) ).
cnf(refute_10_99,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_10_100,plain,
( h3(e12) != op2(e23,e22)
| op2(e22,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_10_6,refute_10_99]) ).
cnf(refute_10_101,plain,
h3(e12) != op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e23,e22)) )],[refute_10_100,refute_10_98]) ).
cnf(refute_10_102,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_10_33]) ).
cnf(refute_10_103,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_10_104,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_10_105,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_10_103,refute_10_104]) ).
cnf(refute_10_106,plain,
op2(e23,op2(e23,e23)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_10_10,refute_10_105]) ).
cnf(refute_10_107,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_10_108,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e22)) )],[refute_10_106,refute_10_107]) ).
cnf(refute_10_109,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_10_102,refute_10_108]) ).
cnf(refute_10_110,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_10_111,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_10_109,refute_10_110]) ).
cnf(refute_10_112,plain,
( h3(e12) != e20
| op2(e23,e22) != e20
| h3(e12) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_10_113,plain,
( h3(e12) != e20
| h3(e12) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_10_111,refute_10_112]) ).
cnf(refute_10_114,plain,
h3(e12) != e20,
inference(resolve,[$cnf( $equal(h3(e12),op2(e23,e22)) )],[refute_10_113,refute_10_101]) ).
cnf(refute_10_115,plain,
h2(e12) = e20,
inference(resolve,[$cnf( $equal(h3(e12),e20) )],[refute_10_97,refute_10_114]) ).
cnf(refute_10_116,plain,
( h2(e12) != e20
| h2(e12) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e23) ),[0],$fot(e20)]]) ).
cnf(refute_10_117,plain,
( h2(e12) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_10_115,refute_10_116]) ).
cnf(refute_10_118,plain,
( e20 = e23
| e21 = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(h2(e12),e23) )],[refute_10_83,refute_10_117]) ).
cnf(refute_10_119,plain,
e20 != e23,
inference(canonicalize,[],[normalize_10_34]) ).
cnf(refute_10_120,plain,
( e21 = e23
| h3(e12) = e23 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_10_118,refute_10_119]) ).
cnf(refute_10_121,plain,
e21 != e23,
inference(canonicalize,[],[normalize_10_35]) ).
cnf(refute_10_122,plain,
h3(e12) = e23,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_10_120,refute_10_121]) ).
cnf(refute_10_123,plain,
( h3(e12) != e23
| h4(op1(e12,e12)) != e23
| h4(op1(e12,e12)) = h3(e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e12)),h3(e12)) ),[1],$fot(e23)]]) ).
cnf(refute_10_124,plain,
( h4(op1(e12,e12)) != e23
| h4(op1(e12,e12)) = h3(e12) ),
inference(resolve,[$cnf( $equal(h3(e12),e23) )],[refute_10_122,refute_10_123]) ).
cnf(refute_10_125,plain,
h4(op1(e12,e12)) != e23,
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h3(e12)) )],[refute_10_124,refute_10_32]) ).
cnf(refute_10_126,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_10_36]) ).
cnf(refute_10_127,plain,
( op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13 ),
inference(canonicalize,[],[normalize_10_40]) ).
cnf(refute_10_128,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(canonicalize,[],[normalize_10_43]) ).
cnf(refute_10_129,plain,
e12 = op1(e13,e13),
inference(canonicalize,[],[normalize_10_45]) ).
cnf(refute_10_130,plain,
( e12 != op1(e13,e13)
| op1(e13,e13) = e12 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_10_131,plain,
op1(e13,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_10_129,refute_10_130]) ).
cnf(refute_10_132,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[0],$fot(e12)]]) ).
cnf(refute_10_133,plain,
( op1(e13,e13) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_10_131,refute_10_132]) ).
cnf(refute_10_134,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_10_128,refute_10_133]) ).
cnf(refute_10_135,plain,
e11 != e12,
inference(canonicalize,[],[normalize_10_47]) ).
cnf(refute_10_136,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_10_137,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_10_136,refute_10_135]) ).
cnf(refute_10_138,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_10_134,refute_10_137]) ).
cnf(refute_10_139,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_10_49]) ).
cnf(refute_10_140,plain,
e11 = op1(op1(e13,e13),e13),
inference(canonicalize,[],[normalize_10_50]) ).
cnf(refute_10_141,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_10_142,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(e12)]]) ).
cnf(refute_10_143,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_10_141,refute_10_142]) ).
cnf(refute_10_144,plain,
op1(op1(e13,e13),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_10_131,refute_10_143]) ).
cnf(refute_10_145,plain,
( e11 != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_10_146,plain,
( e11 != op1(op1(e13,e13),e13)
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e12,e13)) )],[refute_10_144,refute_10_145]) ).
cnf(refute_10_147,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),e13)) )],[refute_10_140,refute_10_146]) ).
cnf(refute_10_148,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_10_149,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_10_147,refute_10_148]) ).
cnf(refute_10_150,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_10_151,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_10_149,refute_10_150]) ).
cnf(refute_10_152,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_10_151,refute_10_139]) ).
cnf(refute_10_153,plain,
op1(e10,e10) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_10_138,refute_10_152]) ).
cnf(refute_10_154,plain,
( op1(e10,e10) != e11
| op1(e10,e10) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[0],$fot(e11)]]) ).
cnf(refute_10_155,plain,
( op1(e10,e10) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_10_153,refute_10_154]) ).
cnf(refute_10_156,plain,
( e11 = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_10_127,refute_10_155]) ).
cnf(refute_10_157,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_10_53]) ).
cnf(refute_10_158,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_10_159,plain,
( op1(e13,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_10_131,refute_10_158]) ).
cnf(refute_10_160,plain,
( e12 = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_10_157,refute_10_159]) ).
cnf(refute_10_161,plain,
e10 != e12,
inference(canonicalize,[],[normalize_10_54]) ).
cnf(refute_10_162,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_10_163,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_10_162,refute_10_161]) ).
cnf(refute_10_164,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_10_160,refute_10_163]) ).
cnf(refute_10_165,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_10_55]) ).
cnf(refute_10_166,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_10_56]) ).
cnf(refute_10_167,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_10_168,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_10_169,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_10_167,refute_10_168]) ).
cnf(refute_10_170,plain,
op1(e13,op1(e13,e13)) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_10_131,refute_10_169]) ).
cnf(refute_10_171,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_10_172,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e12)) )],[refute_10_170,refute_10_171]) ).
cnf(refute_10_173,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_10_166,refute_10_172]) ).
cnf(refute_10_174,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_10_175,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_10_173,refute_10_174]) ).
cnf(refute_10_176,plain,
( op1(e12,e12) != e10
| op1(e13,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_10_177,plain,
( op1(e12,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_10_175,refute_10_176]) ).
cnf(refute_10_178,plain,
op1(e12,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_10_177,refute_10_165]) ).
cnf(refute_10_179,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_10_164,refute_10_178]) ).
cnf(refute_10_180,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[0],$fot(e10)]]) ).
cnf(refute_10_181,plain,
( op1(e11,e11) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_10_179,refute_10_180]) ).
cnf(refute_10_182,plain,
( e10 = e13
| e11 = e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_10_156,refute_10_181]) ).
cnf(refute_10_183,plain,
e10 != e13,
inference(canonicalize,[],[normalize_10_57]) ).
cnf(refute_10_184,plain,
( e11 = e13
| op1(e12,e12) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_10_182,refute_10_183]) ).
cnf(refute_10_185,plain,
e11 != e13,
inference(canonicalize,[],[normalize_10_58]) ).
cnf(refute_10_186,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_10_184,refute_10_185]) ).
cnf(refute_10_187,plain,
h4(op1(e12,e12)) = h4(op1(e12,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e12)))]]) ).
cnf(refute_10_188,plain,
( h4(op1(e12,e12)) != h4(op1(e12,e12))
| op1(e12,e12) != e13
| h4(op1(e12,e12)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_10_189,plain,
( op1(e12,e12) != e13
| h4(op1(e12,e12)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) )],[refute_10_187,refute_10_188]) ).
cnf(refute_10_190,plain,
h4(op1(e12,e12)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_10_186,refute_10_189]) ).
cnf(refute_10_191,plain,
( h4(e13) != e23
| h4(op1(e12,e12)) != h4(e13)
| h4(op1(e12,e12)) = e23 ),
inference(subst,[],[refute_10_23:[bind(X,$fot(h4(op1(e12,e12)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_10_192,plain,
( h4(e13) != e23
| h4(op1(e12,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(e13)) )],[refute_10_190,refute_10_191]) ).
cnf(refute_10_193,plain,
h4(op1(e12,e12)) = e23,
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_10_126,refute_10_192]) ).
cnf(refute_10_194,plain,
( e23 != e23
| h4(op1(e12,e12)) != e23
| h4(op1(e12,e12)) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),e23) ),[1],$fot(e23)]]) ).
cnf(refute_10_195,plain,
( e23 != e23
| h4(op1(e12,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),e23) )],[refute_10_193,refute_10_194]) ).
cnf(refute_10_196,plain,
e23 != e23,
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),e23) )],[refute_10_195,refute_10_125]) ).
cnf(refute_10_197,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_10_198,plain,
$false,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_10_197,refute_10_196]) ).
fof(negate_11_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) )
=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
inference(negate,[],[subgoal_11]) ).
fof(normalize_11_0,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_11_0]) ).
fof(normalize_11_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = op2(e20,e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_11_2,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_11_1]) ).
fof(normalize_11_3,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = op2(e21,e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_11_4,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_11_3]) ).
fof(normalize_11_5,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_11_6,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_11_5]) ).
fof(normalize_11_7,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_11_0,normalize_11_2,normalize_11_4,normalize_11_6]) ).
fof(normalize_11_8,plain,
h4(op1(e12,e13)) != op2(h4(e12),h4(e13)),
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_9,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_11_10,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_11,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_11_12,plain,
e21 = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_13,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_11_14,plain,
e11 = op1(op1(e13,e13),e13),
inference(conjunct,[],[normalize_11_13]) ).
fof(normalize_11_15,plain,
e12 = op1(e13,e13),
inference(conjunct,[],[normalize_11_13]) ).
fof(normalize_11_16,plain,
e22 = op2(e23,e23),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_17,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_18,plain,
h4(e12) = op2(e23,e23),
inference(conjunct,[],[normalize_11_9]) ).
cnf(refute_11_0,plain,
h4(op1(e12,e13)) != op2(h4(e12),h4(e13)),
inference(canonicalize,[],[normalize_11_8]) ).
cnf(refute_11_1,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_11_10]) ).
cnf(refute_11_2,plain,
e21 = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_11_12]) ).
cnf(refute_11_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_11_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_11_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_11_3,refute_11_4]) ).
cnf(refute_11_6,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = e21 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(op2(e23,e23),e23)))]]) ).
cnf(refute_11_7,plain,
op2(op2(e23,e23),e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_11_2,refute_11_6]) ).
cnf(refute_11_8,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_11_9,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),e21) )],[refute_11_7,refute_11_8]) ).
cnf(refute_11_10,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),e23)) )],[refute_11_1,refute_11_9]) ).
cnf(refute_11_11,plain,
e11 = op1(op1(e13,e13),e13),
inference(canonicalize,[],[normalize_11_14]) ).
cnf(refute_11_12,plain,
e12 = op1(e13,e13),
inference(canonicalize,[],[normalize_11_15]) ).
cnf(refute_11_13,plain,
( e12 != op1(e13,e13)
| op1(e13,e13) = e12 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_11_14,plain,
op1(e13,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_11_12,refute_11_13]) ).
cnf(refute_11_15,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_11_16,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(e12)]]) ).
cnf(refute_11_17,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_11_15,refute_11_16]) ).
cnf(refute_11_18,plain,
op1(op1(e13,e13),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_11_14,refute_11_17]) ).
cnf(refute_11_19,plain,
( e11 != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_11_20,plain,
( e11 != op1(op1(e13,e13),e13)
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e12,e13)) )],[refute_11_18,refute_11_19]) ).
cnf(refute_11_21,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),e13)) )],[refute_11_11,refute_11_20]) ).
cnf(refute_11_22,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_11_23,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_11_21,refute_11_22]) ).
cnf(refute_11_24,plain,
h4(op1(e12,e13)) = h4(op1(e12,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e13)))]]) ).
cnf(refute_11_25,plain,
( h4(op1(e12,e13)) != h4(op1(e12,e13))
| op1(e12,e13) != e11
| h4(op1(e12,e13)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_11_26,plain,
( op1(e12,e13) != e11
| h4(op1(e12,e13)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) )],[refute_11_24,refute_11_25]) ).
cnf(refute_11_27,plain,
h4(op1(e12,e13)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_11_23,refute_11_26]) ).
cnf(refute_11_28,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_11_29,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_11_5,refute_11_28]) ).
cnf(refute_11_30,plain,
( h4(e11) != e21
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e13)) = e21 ),
inference(subst,[],[refute_11_29:[bind(X,$fot(h4(op1(e12,e13)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_11_31,plain,
( h4(e11) != e21
| h4(op1(e12,e13)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(e11)) )],[refute_11_27,refute_11_30]) ).
cnf(refute_11_32,plain,
h4(op1(e12,e13)) = e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_11_10,refute_11_31]) ).
cnf(refute_11_33,plain,
( e21 != op2(h4(e12),h4(e13))
| h4(op1(e12,e13)) != e21
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),e21) ),[1],$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_11_34,plain,
( e21 != op2(h4(e12),h4(e13))
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),e21) )],[refute_11_32,refute_11_33]) ).
cnf(refute_11_35,plain,
e22 = op2(e23,e23),
inference(canonicalize,[],[normalize_11_16]) ).
cnf(refute_11_36,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_11_37,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_11_35,refute_11_36]) ).
cnf(refute_11_38,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_11_39,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_11_40,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_11_38,refute_11_39]) ).
cnf(refute_11_41,plain,
op2(op2(e23,e23),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_11_37,refute_11_40]) ).
cnf(refute_11_42,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_11_43,plain,
( e21 != op2(op2(e23,e23),e23)
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e22,e23)) )],[refute_11_41,refute_11_42]) ).
cnf(refute_11_44,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_11_2,refute_11_43]) ).
cnf(refute_11_45,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_11_46,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_11_44,refute_11_45]) ).
cnf(refute_11_47,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_11_17]) ).
cnf(refute_11_48,plain,
op2(e22,h4(e13)) = op2(e22,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e13)))]]) ).
cnf(refute_11_49,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_50,plain,
( h4(e13) != e23
| op2(e22,h4(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) )],[refute_11_48,refute_11_49]) ).
cnf(refute_11_51,plain,
op2(e22,h4(e13)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_11_47,refute_11_50]) ).
cnf(refute_11_52,plain,
h4(e12) = op2(e23,e23),
inference(canonicalize,[],[normalize_11_18]) ).
cnf(refute_11_53,plain,
( h4(e12) != op2(e23,e23)
| op2(e23,e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_11_54,plain,
( h4(e12) != op2(e23,e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_11_37,refute_11_53]) ).
cnf(refute_11_55,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e23)) )],[refute_11_52,refute_11_54]) ).
cnf(refute_11_56,plain,
op2(h4(e12),h4(e13)) = op2(h4(e12),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_11_57,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_58,plain,
( h4(e12) != e22
| op2(h4(e12),h4(e13)) = op2(e22,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) )],[refute_11_56,refute_11_57]) ).
cnf(refute_11_59,plain,
op2(h4(e12),h4(e13)) = op2(e22,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_11_55,refute_11_58]) ).
cnf(refute_11_60,plain,
( op2(e22,h4(e13)) != op2(e22,e23)
| op2(h4(e12),h4(e13)) != op2(e22,h4(e13))
| op2(h4(e12),h4(e13)) = op2(e22,e23) ),
inference(subst,[],[refute_11_29:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e22,h4(e13)))),bind(Z,$fot(op2(e22,e23)))]]) ).
cnf(refute_11_61,plain,
( op2(e22,h4(e13)) != op2(e22,e23)
| op2(h4(e12),h4(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e22,h4(e13))) )],[refute_11_59,refute_11_60]) ).
cnf(refute_11_62,plain,
op2(h4(e12),h4(e13)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,e23)) )],[refute_11_51,refute_11_61]) ).
cnf(refute_11_63,plain,
( op2(e22,e23) != e21
| op2(h4(e12),h4(e13)) != op2(e22,e23)
| op2(h4(e12),h4(e13)) = e21 ),
inference(subst,[],[refute_11_29:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e22,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_11_64,plain,
( op2(e22,e23) != e21
| op2(h4(e12),h4(e13)) = e21 ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e22,e23)) )],[refute_11_62,refute_11_63]) ).
cnf(refute_11_65,plain,
op2(h4(e12),h4(e13)) = e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_11_46,refute_11_64]) ).
cnf(refute_11_66,plain,
( e21 != e21
| op2(h4(e12),h4(e13)) != e21
| e21 = op2(h4(e12),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h4(e12),h4(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_11_67,plain,
( e21 != e21
| e21 = op2(h4(e12),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),e21) )],[refute_11_65,refute_11_66]) ).
cnf(refute_11_68,plain,
( e21 != e21
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
inference(resolve,[$cnf( $equal(e21,op2(h4(e12),h4(e13))) )],[refute_11_67,refute_11_34]) ).
cnf(refute_11_69,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) )],[refute_11_68,refute_11_0]) ).
cnf(refute_11_70,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_11_71,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_11_70,refute_11_69]) ).
fof(negate_12_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) )
=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
inference(negate,[],[subgoal_12]) ).
fof(normalize_12_0,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_12_1,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(conjunct,[],[normalize_12_0]) ).
fof(normalize_12_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_12_3,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_12_2]) ).
fof(normalize_12_4,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_12_5,plain,
e22 = op2(e23,e23),
inference(conjunct,[],[normalize_12_4]) ).
fof(normalize_12_6,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_12_2]) ).
fof(normalize_12_7,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_12_4]) ).
fof(normalize_12_8,plain,
op2(e20,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_12_2]) ).
fof(normalize_12_9,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = op2(e20,e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_12_10,plain,
h1(e12) = op2(e20,e20),
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_11,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22 ) )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_12_12,plain,
( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) ),
inference(conjunct,[],[normalize_12_11]) ).
fof(normalize_12_13,plain,
( ( op2(e20,e21) != e20
| op2(e22,e21) != e22
| op2(e23,e21) != e23 )
& ( op2(e20,e21) != e20
| op2(e22,e21) != e22
| op2(e23,e23) = e21 )
& ( op2(e20,e21) != e20
| op2(e23,e21) != e23
| op2(e22,e22) = e21 )
& ( op2(e20,e21) != e20
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e21) != e22
| op2(e23,e21) != e23
| op2(e20,e20) = e21 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e22,e22) = e21 )
& ( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ) ),
inference(clausify,[],[normalize_12_12]) ).
fof(normalize_12_14,plain,
( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_15,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_12_16,plain,
h3(e12) = op2(e22,e22),
inference(conjunct,[],[normalize_12_15]) ).
fof(normalize_12_17,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_12_18,plain,
e21 != e22,
inference(conjunct,[],[normalize_12_17]) ).
fof(normalize_12_19,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_12_2]) ).
fof(normalize_12_20,plain,
e21 = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_12_4]) ).
fof(normalize_12_21,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_22,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_12_9]) ).
fof(normalize_12_23,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = op2(e21,e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_12_24,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_12_23]) ).
fof(normalize_12_25,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_12_15]) ).
fof(normalize_12_26,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_21,normalize_12_22,normalize_12_24,normalize_12_25]) ).
fof(normalize_12_27,plain,
h4(op1(e13,e10)) != op2(h4(e13),h4(e10)),
inference(conjunct,[],[normalize_12_26]) ).
fof(normalize_12_28,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_12_29,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_12_28]) ).
fof(normalize_12_30,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_12_28]) ).
fof(normalize_12_31,plain,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_12_32,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(conjunct,[],[normalize_12_31]) ).
fof(normalize_12_33,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_12_34,plain,
e12 = op1(e13,e13),
inference(conjunct,[],[normalize_12_33]) ).
fof(normalize_12_35,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_12_36,plain,
e12 != e13,
inference(conjunct,[],[normalize_12_35]) ).
fof(normalize_12_37,plain,
( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 ),
inference(conjunct,[],[normalize_12_31]) ).
fof(normalize_12_38,plain,
e11 != e12,
inference(conjunct,[],[normalize_12_35]) ).
fof(normalize_12_39,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_12_33]) ).
fof(normalize_12_40,plain,
e10 != e11,
inference(conjunct,[],[normalize_12_35]) ).
fof(normalize_12_41,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_12_42,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_12_41]) ).
fof(normalize_12_43,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12 ) )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_12_44,plain,
( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) ),
inference(conjunct,[],[normalize_12_43]) ).
fof(normalize_12_45,plain,
( ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e11) != e13 )
& ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e13) = e11 )
& ( op1(e10,e11) != e10
| op1(e13,e11) != e13
| op1(e12,e12) = e11 )
& ( op1(e10,e11) != e10
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e11) != e12
| op1(e13,e11) != e13
| op1(e10,e10) = e11 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e12,e12) = e11 )
& ( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ) ),
inference(clausify,[],[normalize_12_44]) ).
fof(normalize_12_46,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(conjunct,[],[normalize_12_45]) ).
fof(normalize_12_47,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_12_41]) ).
fof(normalize_12_48,plain,
e11 = op1(op1(e13,e13),e13),
inference(conjunct,[],[normalize_12_33]) ).
fof(normalize_12_49,plain,
e10 != e13,
inference(conjunct,[],[normalize_12_35]) ).
fof(normalize_12_50,plain,
e11 != e13,
inference(conjunct,[],[normalize_12_35]) ).
cnf(refute_12_0,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(canonicalize,[],[normalize_12_1]) ).
cnf(refute_12_1,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_12_3]) ).
cnf(refute_12_2,plain,
e22 = op2(e23,e23),
inference(canonicalize,[],[normalize_12_5]) ).
cnf(refute_12_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_12_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_12_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_12_3,refute_12_4]) ).
cnf(refute_12_6,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_12_7,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_12_2,refute_12_6]) ).
cnf(refute_12_8,plain,
( op2(e23,e20) != e22
| op2(e23,e23) != e22
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(e22)]]) ).
cnf(refute_12_9,plain,
( op2(e23,e20) != e22
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_12_7,refute_12_8]) ).
cnf(refute_12_10,plain,
op2(e23,e20) != e22,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_12_9,refute_12_1]) ).
cnf(refute_12_11,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e22) )],[refute_12_0,refute_12_10]) ).
cnf(refute_12_12,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_12_6]) ).
cnf(refute_12_13,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_12_7]) ).
cnf(refute_12_14,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_12_15,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_12_16,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_12_14,refute_12_15]) ).
cnf(refute_12_17,plain,
op2(e23,op2(e23,e23)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_12_7,refute_12_16]) ).
cnf(refute_12_18,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_12_19,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e22)) )],[refute_12_17,refute_12_18]) ).
cnf(refute_12_20,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_12_13,refute_12_19]) ).
cnf(refute_12_21,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_12_22,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_12_20,refute_12_21]) ).
cnf(refute_12_23,plain,
( op2(e23,e20) != e20
| op2(e23,e22) != e20
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_12_24,plain,
( op2(e23,e20) != e20
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_12_22,refute_12_23]) ).
cnf(refute_12_25,plain,
op2(e23,e20) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_12_24,refute_12_12]) ).
cnf(refute_12_26,plain,
( op2(e23,e20) = e21
| op2(e23,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e20) )],[refute_12_11,refute_12_25]) ).
cnf(refute_12_27,plain,
op2(e20,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_12_8]) ).
cnf(refute_12_28,plain,
h1(e12) = op2(e20,e20),
inference(canonicalize,[],[normalize_12_10]) ).
cnf(refute_12_29,plain,
( h1(e12) != op2(e20,e20)
| op2(e20,e20) = h1(e12) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(h1(e12))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_12_30,plain,
op2(e20,e20) = h1(e12),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,e20)) )],[refute_12_28,refute_12_29]) ).
cnf(refute_12_31,plain,
( h1(e12) != op2(e23,e20)
| op2(e20,e20) != h1(e12)
| op2(e20,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e12)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_12_32,plain,
( h1(e12) != op2(e23,e20)
| op2(e20,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_12_30,refute_12_31]) ).
cnf(refute_12_33,plain,
h1(e12) != op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e23,e20)) )],[refute_12_32,refute_12_27]) ).
cnf(refute_12_34,plain,
( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(canonicalize,[],[normalize_12_14]) ).
cnf(refute_12_35,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e12)
| h1(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e12))]]) ).
cnf(refute_12_36,plain,
( op2(e20,e20) != e21
| h1(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_12_30,refute_12_35]) ).
cnf(refute_12_37,plain,
( h1(e12) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_12_34,refute_12_36]) ).
cnf(refute_12_38,plain,
h3(e12) = op2(e22,e22),
inference(canonicalize,[],[normalize_12_16]) ).
cnf(refute_12_39,plain,
( h3(e12) != op2(e22,e22)
| op2(e22,e22) = h3(e12) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_12_40,plain,
op2(e22,e22) = h3(e12),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e22)) )],[refute_12_38,refute_12_39]) ).
cnf(refute_12_41,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e12)
| h3(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e12))]]) ).
cnf(refute_12_42,plain,
( op2(e22,e22) != e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_12_40,refute_12_41]) ).
cnf(refute_12_43,plain,
( h1(e12) = e21
| h3(e12) = e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_12_37,refute_12_42]) ).
cnf(refute_12_44,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[0],$fot(e22)]]) ).
cnf(refute_12_45,plain,
( op2(e23,e23) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_12_7,refute_12_44]) ).
cnf(refute_12_46,plain,
( e22 = e21
| h1(e12) = e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_43,refute_12_45]) ).
cnf(refute_12_47,plain,
e21 != e22,
inference(canonicalize,[],[normalize_12_18]) ).
cnf(refute_12_48,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_12_49,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_12_48,refute_12_47]) ).
cnf(refute_12_50,plain,
( h1(e12) = e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_12_46,refute_12_49]) ).
cnf(refute_12_51,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_12_19]) ).
cnf(refute_12_52,plain,
( h3(e12) != op2(e22,e23)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_12_53,plain,
( h3(e12) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_12_40,refute_12_52]) ).
cnf(refute_12_54,plain,
h3(e12) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_12_53,refute_12_51]) ).
cnf(refute_12_55,plain,
e21 = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_12_20]) ).
cnf(refute_12_56,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_12_57,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_12_58,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_12_56,refute_12_57]) ).
cnf(refute_12_59,plain,
op2(op2(e23,e23),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_12_7,refute_12_58]) ).
cnf(refute_12_60,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_12_61,plain,
( e21 != op2(op2(e23,e23),e23)
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e22,e23)) )],[refute_12_59,refute_12_60]) ).
cnf(refute_12_62,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_12_55,refute_12_61]) ).
cnf(refute_12_63,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_12_64,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_12_62,refute_12_63]) ).
cnf(refute_12_65,plain,
( h3(e12) != e21
| op2(e22,e23) != e21
| h3(e12) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_12_66,plain,
( h3(e12) != e21
| h3(e12) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_12_64,refute_12_65]) ).
cnf(refute_12_67,plain,
h3(e12) != e21,
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e23)) )],[refute_12_66,refute_12_54]) ).
cnf(refute_12_68,plain,
h1(e12) = e21,
inference(resolve,[$cnf( $equal(h3(e12),e21) )],[refute_12_50,refute_12_67]) ).
cnf(refute_12_69,plain,
( e21 != op2(e23,e20)
| h1(e12) != e21
| h1(e12) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e21) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_12_70,plain,
( e21 != op2(e23,e20)
| h1(e12) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_12_68,refute_12_69]) ).
cnf(refute_12_71,plain,
e21 != op2(e23,e20),
inference(resolve,[$cnf( $equal(h1(e12),op2(e23,e20)) )],[refute_12_70,refute_12_33]) ).
cnf(refute_12_72,plain,
( op2(e23,e20) != e21
| e21 = op2(e23,e20) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(op2(e23,e20))),bind(Y,$fot(e21))]]) ).
cnf(refute_12_73,plain,
op2(e23,e20) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e20)) )],[refute_12_72,refute_12_71]) ).
cnf(refute_12_74,plain,
op2(e23,e20) = e23,
inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_12_26,refute_12_73]) ).
cnf(refute_12_75,plain,
h4(op1(e13,e10)) != op2(h4(e13),h4(e10)),
inference(canonicalize,[],[normalize_12_27]) ).
cnf(refute_12_76,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_12_29]) ).
cnf(refute_12_77,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_12_78,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_12_13,refute_12_77]) ).
cnf(refute_12_79,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_12_80,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_12_78,refute_12_79]) ).
cnf(refute_12_81,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_12_76,refute_12_80]) ).
cnf(refute_12_82,plain,
op2(e23,h4(e10)) = op2(e23,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e10)))]]) ).
cnf(refute_12_83,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_84,plain,
( h4(e10) != e20
| op2(e23,h4(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) )],[refute_12_82,refute_12_83]) ).
cnf(refute_12_85,plain,
op2(e23,h4(e10)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_12_81,refute_12_84]) ).
cnf(refute_12_86,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_12_30]) ).
cnf(refute_12_87,plain,
op2(h4(e13),h4(e10)) = op2(h4(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e10)))]]) ).
cnf(refute_12_88,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_89,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e10)) = op2(e23,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) )],[refute_12_87,refute_12_88]) ).
cnf(refute_12_90,plain,
op2(h4(e13),h4(e10)) = op2(e23,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_86,refute_12_89]) ).
cnf(refute_12_91,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_12_92,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_12_5,refute_12_91]) ).
cnf(refute_12_93,plain,
( op2(e23,h4(e10)) != op2(e23,e20)
| op2(h4(e13),h4(e10)) != op2(e23,h4(e10))
| op2(h4(e13),h4(e10)) = op2(e23,e20) ),
inference(subst,[],[refute_12_92:[bind(X,$fot(op2(h4(e13),h4(e10)))),bind(Y,$fot(op2(e23,h4(e10)))),bind(Z,$fot(op2(e23,e20)))]]) ).
cnf(refute_12_94,plain,
( op2(e23,h4(e10)) != op2(e23,e20)
| op2(h4(e13),h4(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e23,h4(e10))) )],[refute_12_90,refute_12_93]) ).
cnf(refute_12_95,plain,
op2(h4(e13),h4(e10)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,e20)) )],[refute_12_85,refute_12_94]) ).
cnf(refute_12_96,plain,
( h4(op1(e13,e10)) != op2(e23,e20)
| op2(h4(e13),h4(e10)) != op2(e23,e20)
| h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e10)),op2(h4(e13),h4(e10))) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_12_97,plain,
( h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e23,e20)) )],[refute_12_95,refute_12_96]) ).
cnf(refute_12_98,plain,
h4(op1(e13,e10)) != op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(h4(e13),h4(e10))) )],[refute_12_97,refute_12_75]) ).
cnf(refute_12_99,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(canonicalize,[],[normalize_12_32]) ).
cnf(refute_12_100,plain,
e12 = op1(e13,e13),
inference(canonicalize,[],[normalize_12_34]) ).
cnf(refute_12_101,plain,
( e12 != op1(e13,e13)
| op1(e13,e13) = e12 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_12_102,plain,
op1(e13,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_12_100,refute_12_101]) ).
cnf(refute_12_103,plain,
( op1(e13,e13) != e12
| op1(e13,e13) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e12)]]) ).
cnf(refute_12_104,plain,
( op1(e13,e13) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_12_102,refute_12_103]) ).
cnf(refute_12_105,plain,
( e12 = e13
| op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_12_99,refute_12_104]) ).
cnf(refute_12_106,plain,
e12 != e13,
inference(canonicalize,[],[normalize_12_36]) ).
cnf(refute_12_107,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_12_105,refute_12_106]) ).
cnf(refute_12_108,plain,
( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 ),
inference(canonicalize,[],[normalize_12_37]) ).
cnf(refute_12_109,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[0],$fot(e12)]]) ).
cnf(refute_12_110,plain,
( op1(e13,e13) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_12_102,refute_12_109]) ).
cnf(refute_12_111,plain,
( e12 = e11
| op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_12_108,refute_12_110]) ).
cnf(refute_12_112,plain,
e11 != e12,
inference(canonicalize,[],[normalize_12_38]) ).
cnf(refute_12_113,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_12_114,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_12_113,refute_12_112]) ).
cnf(refute_12_115,plain,
( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_12_111,refute_12_114]) ).
cnf(refute_12_116,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_12_39]) ).
cnf(refute_12_117,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_12_118,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_12_119,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_12_117,refute_12_118]) ).
cnf(refute_12_120,plain,
op1(e13,op1(e13,e13)) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_12_102,refute_12_119]) ).
cnf(refute_12_121,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_12_122,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e12)) )],[refute_12_120,refute_12_121]) ).
cnf(refute_12_123,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_12_116,refute_12_122]) ).
cnf(refute_12_124,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_12_125,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_12_123,refute_12_124]) ).
cnf(refute_12_126,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e11) ),[0],$fot(e10)]]) ).
cnf(refute_12_127,plain,
( op1(e13,e12) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_12_125,refute_12_126]) ).
cnf(refute_12_128,plain,
( e10 = e11
| op1(e13,e10) = e11
| op1(e13,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_12_115,refute_12_127]) ).
cnf(refute_12_129,plain,
e10 != e11,
inference(canonicalize,[],[normalize_12_40]) ).
cnf(refute_12_130,plain,
( op1(e13,e10) = e11
| op1(e13,e11) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_12_128,refute_12_129]) ).
cnf(refute_12_131,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_12_42]) ).
cnf(refute_12_132,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(canonicalize,[],[normalize_12_46]) ).
cnf(refute_12_133,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_12_132,refute_12_110]) ).
cnf(refute_12_134,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_12_133,refute_12_114]) ).
cnf(refute_12_135,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_12_47]) ).
cnf(refute_12_136,plain,
e11 = op1(op1(e13,e13),e13),
inference(canonicalize,[],[normalize_12_48]) ).
cnf(refute_12_137,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_12_138,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(e12)]]) ).
cnf(refute_12_139,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_12_137,refute_12_138]) ).
cnf(refute_12_140,plain,
op1(op1(e13,e13),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_12_102,refute_12_139]) ).
cnf(refute_12_141,plain,
( e11 != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_12_142,plain,
( e11 != op1(op1(e13,e13),e13)
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e12,e13)) )],[refute_12_140,refute_12_141]) ).
cnf(refute_12_143,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),e13)) )],[refute_12_136,refute_12_142]) ).
cnf(refute_12_144,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_12_145,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_12_143,refute_12_144]) ).
cnf(refute_12_146,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_12_147,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_12_145,refute_12_146]) ).
cnf(refute_12_148,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_12_147,refute_12_135]) ).
cnf(refute_12_149,plain,
op1(e10,e10) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_12_134,refute_12_148]) ).
cnf(refute_12_150,plain,
( e11 != op1(e13,e10)
| op1(e10,e10) != e11
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e13,e10))]]) ).
cnf(refute_12_151,plain,
( e11 != op1(e13,e10)
| op1(e10,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_12_149,refute_12_150]) ).
cnf(refute_12_152,plain,
e11 != op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_12_151,refute_12_131]) ).
cnf(refute_12_153,plain,
( op1(e13,e10) != e11
| e11 = op1(e13,e10) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(op1(e13,e10))),bind(Y,$fot(e11))]]) ).
cnf(refute_12_154,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e10)) )],[refute_12_153,refute_12_152]) ).
cnf(refute_12_155,plain,
op1(e13,e11) = e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_12_130,refute_12_154]) ).
cnf(refute_12_156,plain,
( op1(e13,e11) != e11
| op1(e13,e11) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(e11)]]) ).
cnf(refute_12_157,plain,
( op1(e13,e11) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_12_155,refute_12_156]) ).
cnf(refute_12_158,plain,
( e11 = e13
| op1(e13,e10) = e13
| op1(e13,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_12_107,refute_12_157]) ).
cnf(refute_12_159,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e13) ),[0],$fot(e10)]]) ).
cnf(refute_12_160,plain,
( op1(e13,e12) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_12_125,refute_12_159]) ).
cnf(refute_12_161,plain,
( e10 = e13
| e11 = e13
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_12_158,refute_12_160]) ).
cnf(refute_12_162,plain,
e10 != e13,
inference(canonicalize,[],[normalize_12_49]) ).
cnf(refute_12_163,plain,
( e11 = e13
| op1(e13,e10) = e13 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_12_161,refute_12_162]) ).
cnf(refute_12_164,plain,
e11 != e13,
inference(canonicalize,[],[normalize_12_50]) ).
cnf(refute_12_165,plain,
op1(e13,e10) = e13,
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_12_163,refute_12_164]) ).
cnf(refute_12_166,plain,
h4(op1(e13,e10)) = h4(op1(e13,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e10)))]]) ).
cnf(refute_12_167,plain,
( h4(op1(e13,e10)) != h4(op1(e13,e10))
| op1(e13,e10) != e13
| h4(op1(e13,e10)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),h4(op1(e13,e10))) ),[1,0],$fot(e13)]]) ).
cnf(refute_12_168,plain,
( op1(e13,e10) != e13
| h4(op1(e13,e10)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(op1(e13,e10))) )],[refute_12_166,refute_12_167]) ).
cnf(refute_12_169,plain,
h4(op1(e13,e10)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_12_165,refute_12_168]) ).
cnf(refute_12_170,plain,
( h4(e13) != e23
| h4(op1(e13,e10)) != h4(e13)
| h4(op1(e13,e10)) = e23 ),
inference(subst,[],[refute_12_92:[bind(X,$fot(h4(op1(e13,e10)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_12_171,plain,
( h4(e13) != e23
| h4(op1(e13,e10)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(e13)) )],[refute_12_169,refute_12_170]) ).
cnf(refute_12_172,plain,
h4(op1(e13,e10)) = e23,
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_12_86,refute_12_171]) ).
cnf(refute_12_173,plain,
( e23 != op2(e23,e20)
| h4(op1(e13,e10)) != e23
| h4(op1(e13,e10)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),e23) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_12_174,plain,
( e23 != op2(e23,e20)
| h4(op1(e13,e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),e23) )],[refute_12_172,refute_12_173]) ).
cnf(refute_12_175,plain,
e23 != op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(e23,e20)) )],[refute_12_174,refute_12_98]) ).
cnf(refute_12_176,plain,
( op2(e23,e20) != e23
| e23 = op2(e23,e20) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(op2(e23,e20))),bind(Y,$fot(e23))]]) ).
cnf(refute_12_177,plain,
op2(e23,e20) != e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_12_176,refute_12_175]) ).
cnf(refute_12_178,plain,
$false,
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_12_74,refute_12_177]) ).
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,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_13_1,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(conjunct,[],[normalize_13_0]) ).
fof(normalize_13_2,plain,
( h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = op2(e21,e21)
& h2(e13) = e21 ),
inference(canonicalize,[],[ax15]) ).
fof(normalize_13_3,plain,
h2(e12) = op2(e21,e21),
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_4,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_5,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = op2(e20,e20)
& h1(e13) = e20 ),
inference(canonicalize,[],[ax14]) ).
fof(normalize_13_6,plain,
h1(e13) = e20,
inference(conjunct,[],[normalize_13_5]) ).
fof(normalize_13_7,plain,
h2(e13) = e21,
inference(conjunct,[],[normalize_13_2]) ).
fof(normalize_13_8,plain,
( h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e13) = e22 ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_13_9,plain,
h3(e13) = e22,
inference(conjunct,[],[normalize_13_8]) ).
fof(normalize_13_10,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_4,normalize_13_6,normalize_13_7,normalize_13_9]) ).
fof(normalize_13_11,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(conjunct,[],[normalize_13_10]) ).
fof(normalize_13_12,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_13_13,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_13_12]) ).
fof(normalize_13_14,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_13_15,plain,
e21 = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_13_14]) ).
fof(normalize_13_16,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_13_12]) ).
fof(normalize_13_17,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_13_14]) ).
fof(normalize_13_18,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12 ) )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 ) )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ) ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_13_19,plain,
( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10 ) ),
inference(conjunct,[],[normalize_13_18]) ).
fof(normalize_13_20,plain,
( ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e10) != e13 )
& ( op1(e11,e10) != e11
| op1(e12,e10) != e12
| op1(e13,e13) = e10 )
& ( op1(e11,e10) != e11
| op1(e13,e10) != e13
| op1(e12,e12) = e10 )
& ( op1(e11,e10) != e11
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e10) != e12
| op1(e13,e10) != e13
| op1(e11,e11) = e10 )
& ( op1(e12,e10) != e12
| op1(e11,e11) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) != e13
| op1(e11,e11) = e10
| op1(e12,e12) = e10 )
& ( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ) ),
inference(clausify,[],[normalize_13_19]) ).
fof(normalize_13_21,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(conjunct,[],[normalize_13_20]) ).
fof(normalize_13_22,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_13_23,plain,
e12 = op1(e13,e13),
inference(conjunct,[],[normalize_13_22]) ).
fof(normalize_13_24,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax7]) ).
fof(normalize_13_25,plain,
e10 != e12,
inference(conjunct,[],[normalize_13_24]) ).
fof(normalize_13_26,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_13_27,plain,
op1(e12,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_13_26]) ).
fof(normalize_13_28,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_13_22]) ).
fof(normalize_13_29,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_13_5]) ).
fof(normalize_13_30,plain,
h1(e12) = op2(e20,e20),
inference(conjunct,[],[normalize_13_5]) ).
fof(normalize_13_31,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22 ) )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 ) )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20 ) ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_13_32,plain,
( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21 ) ),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_33,plain,
( ( op2(e20,e21) != e20
| op2(e22,e21) != e22
| op2(e23,e21) != e23 )
& ( op2(e20,e21) != e20
| op2(e22,e21) != e22
| op2(e23,e23) = e21 )
& ( op2(e20,e21) != e20
| op2(e23,e21) != e23
| op2(e22,e22) = e21 )
& ( op2(e20,e21) != e20
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e21) != e22
| op2(e23,e21) != e23
| op2(e20,e20) = e21 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e22,e22) = e21 )
& ( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ) ),
inference(clausify,[],[normalize_13_32]) ).
fof(normalize_13_34,plain,
( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(conjunct,[],[normalize_13_33]) ).
fof(normalize_13_35,plain,
h3(e12) = op2(e22,e22),
inference(conjunct,[],[normalize_13_8]) ).
fof(normalize_13_36,plain,
e22 = op2(e23,e23),
inference(conjunct,[],[normalize_13_14]) ).
fof(normalize_13_37,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax8]) ).
fof(normalize_13_38,plain,
e21 != e22,
inference(conjunct,[],[normalize_13_37]) ).
fof(normalize_13_39,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_13_40,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_13_39]) ).
fof(normalize_13_41,plain,
e20 != e21,
inference(conjunct,[],[normalize_13_37]) ).
fof(normalize_13_42,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_13_39]) ).
fof(normalize_13_43,plain,
op2(e22,e21) != op2(e22,e23),
inference(conjunct,[],[normalize_13_39]) ).
fof(normalize_13_44,plain,
h4(op1(e13,e11)) != op2(h4(e13),h4(e11)),
inference(conjunct,[],[normalize_13_10]) ).
fof(normalize_13_45,plain,
h4(e13) = e23,
inference(conjunct,[],[normalize_13_12]) ).
fof(normalize_13_46,plain,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_13_47,plain,
( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 ),
inference(conjunct,[],[normalize_13_46]) ).
fof(normalize_13_48,plain,
e11 != e12,
inference(conjunct,[],[normalize_13_24]) ).
fof(normalize_13_49,plain,
e10 != e11,
inference(conjunct,[],[normalize_13_24]) ).
fof(normalize_13_50,plain,
op1(e10,e10) != op1(e13,e10),
inference(conjunct,[],[normalize_13_26]) ).
fof(normalize_13_51,plain,
( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11 ) ),
inference(conjunct,[],[normalize_13_18]) ).
fof(normalize_13_52,plain,
( ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e11) != e13 )
& ( op1(e10,e11) != e10
| op1(e12,e11) != e12
| op1(e13,e13) = e11 )
& ( op1(e10,e11) != e10
| op1(e13,e11) != e13
| op1(e12,e12) = e11 )
& ( op1(e10,e11) != e10
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e11) != e12
| op1(e13,e11) != e13
| op1(e10,e10) = e11 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e12,e12) = e11 )
& ( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ) ),
inference(clausify,[],[normalize_13_51]) ).
fof(normalize_13_53,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(conjunct,[],[normalize_13_52]) ).
fof(normalize_13_54,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_13_26]) ).
fof(normalize_13_55,plain,
e11 = op1(op1(e13,e13),e13),
inference(conjunct,[],[normalize_13_22]) ).
cnf(refute_13_0,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(canonicalize,[],[normalize_13_1]) ).
cnf(refute_13_1,plain,
h2(e12) = op2(e21,e21),
inference(canonicalize,[],[normalize_13_3]) ).
cnf(refute_13_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_13_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_13_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_13_2,refute_13_3]) ).
cnf(refute_13_5,plain,
( h2(e12) != op2(e21,e21)
| op2(e21,e21) = h2(e12) ),
inference(subst,[],[refute_13_4:[bind(X,$fot(h2(e12))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_13_6,plain,
op2(e21,e21) = h2(e12),
inference(resolve,[$cnf( $equal(h2(e12),op2(e21,e21)) )],[refute_13_1,refute_13_5]) ).
cnf(refute_13_7,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e12)
| h2(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e12))]]) ).
cnf(refute_13_8,plain,
( op2(e21,e21) != e21
| h2(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_13_6,refute_13_7]) ).
cnf(refute_13_9,plain,
( h2(e12) = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_13_0,refute_13_8]) ).
cnf(refute_13_10,plain,
h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
inference(canonicalize,[],[normalize_13_11]) ).
cnf(refute_13_11,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_13_13]) ).
cnf(refute_13_12,plain,
e21 = op2(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_13_15]) ).
cnf(refute_13_13,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = e21 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(op2(e23,e23),e23)))]]) ).
cnf(refute_13_14,plain,
op2(op2(e23,e23),e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_13_12,refute_13_13]) ).
cnf(refute_13_15,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_13_16,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),e21) )],[refute_13_14,refute_13_15]) ).
cnf(refute_13_17,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),e23)) )],[refute_13_11,refute_13_16]) ).
cnf(refute_13_18,plain,
op2(e21,h4(e11)) = op2(e21,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e11)))]]) ).
cnf(refute_13_19,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) != op2(e21,h4(e11))
| op2(e21,h4(e11)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_20,plain,
( h4(e11) != e21
| op2(e21,h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,h4(e11))) )],[refute_13_18,refute_13_19]) ).
cnf(refute_13_21,plain,
op2(e21,h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_17,refute_13_20]) ).
cnf(refute_13_22,plain,
op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_13_23,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_13_24,plain,
( h4(e11) != e21
| op2(h4(e11),h4(e11)) = op2(e21,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_13_22,refute_13_23]) ).
cnf(refute_13_25,plain,
op2(h4(e11),h4(e11)) = op2(e21,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_17,refute_13_24]) ).
cnf(refute_13_26,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_13_27,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_13_4,refute_13_26]) ).
cnf(refute_13_28,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) != op2(e21,h4(e11))
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(subst,[],[refute_13_27:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,h4(e11)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_13_29,plain,
( op2(e21,h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,h4(e11))) )],[refute_13_25,refute_13_28]) ).
cnf(refute_13_30,plain,
op2(h4(e11),h4(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,h4(e11)),op2(e21,e21)) )],[refute_13_21,refute_13_29]) ).
cnf(refute_13_31,plain,
( op2(e21,e21) != h2(e12)
| op2(h4(e11),h4(e11)) != op2(e21,e21)
| op2(h4(e11),h4(e11)) = h2(e12) ),
inference(subst,[],[refute_13_27:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e12)))]]) ).
cnf(refute_13_32,plain,
( op2(e21,e21) != h2(e12)
| op2(h4(e11),h4(e11)) = h2(e12) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(e21,e21)) )],[refute_13_30,refute_13_31]) ).
cnf(refute_13_33,plain,
op2(h4(e11),h4(e11)) = h2(e12),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e12)) )],[refute_13_6,refute_13_32]) ).
cnf(refute_13_34,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) != h2(e12)
| h4(op1(e11,e11)) = h2(e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e12)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_13_35,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e11)) = h2(e12) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e12)) )],[refute_13_33,refute_13_34]) ).
cnf(refute_13_36,plain,
h4(op1(e11,e11)) = h2(e12),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_13_10,refute_13_35]) ).
cnf(refute_13_37,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_13_16]) ).
cnf(refute_13_38,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_13_17]) ).
cnf(refute_13_39,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_13_40,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_13_38,refute_13_39]) ).
cnf(refute_13_41,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_13_42,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_13_40,refute_13_41]) ).
cnf(refute_13_43,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_13_37,refute_13_42]) ).
cnf(refute_13_44,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(canonicalize,[],[normalize_13_21]) ).
cnf(refute_13_45,plain,
e12 = op1(e13,e13),
inference(canonicalize,[],[normalize_13_23]) ).
cnf(refute_13_46,plain,
( e12 != op1(e13,e13)
| op1(e13,e13) = e12 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_13_47,plain,
op1(e13,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_13_45,refute_13_46]) ).
cnf(refute_13_48,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e12 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e12)]]) ).
cnf(refute_13_49,plain,
( op1(e13,e13) != e10
| e12 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_13_47,refute_13_48]) ).
cnf(refute_13_50,plain,
( e12 = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_13_44,refute_13_49]) ).
cnf(refute_13_51,plain,
e10 != e12,
inference(canonicalize,[],[normalize_13_25]) ).
cnf(refute_13_52,plain,
( e12 != e10
| e10 = e12 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).
cnf(refute_13_53,plain,
e12 != e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_13_52,refute_13_51]) ).
cnf(refute_13_54,plain,
( op1(e11,e11) = e10
| op1(e12,e12) = e10 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_13_50,refute_13_53]) ).
cnf(refute_13_55,plain,
op1(e12,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_13_27]) ).
cnf(refute_13_56,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_13_28]) ).
cnf(refute_13_57,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_13_58,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_13_59,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_13_57,refute_13_58]) ).
cnf(refute_13_60,plain,
op1(e13,op1(e13,e13)) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_13_47,refute_13_59]) ).
cnf(refute_13_61,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_13_62,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e12)) )],[refute_13_60,refute_13_61]) ).
cnf(refute_13_63,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_13_56,refute_13_62]) ).
cnf(refute_13_64,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_13_65,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_13_63,refute_13_64]) ).
cnf(refute_13_66,plain,
( op1(e12,e12) != e10
| op1(e13,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).
cnf(refute_13_67,plain,
( op1(e12,e12) != e10
| op1(e12,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_13_65,refute_13_66]) ).
cnf(refute_13_68,plain,
op1(e12,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_13_67,refute_13_55]) ).
cnf(refute_13_69,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_13_54,refute_13_68]) ).
cnf(refute_13_70,plain,
h4(op1(e11,e11)) = h4(op1(e11,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e11)))]]) ).
cnf(refute_13_71,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_13_72,plain,
( op1(e11,e11) != e10
| h4(op1(e11,e11)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) )],[refute_13_70,refute_13_71]) ).
cnf(refute_13_73,plain,
h4(op1(e11,e11)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_13_69,refute_13_72]) ).
cnf(refute_13_74,plain,
( h4(e10) != e20
| h4(op1(e11,e11)) != h4(e10)
| h4(op1(e11,e11)) = e20 ),
inference(subst,[],[refute_13_27:[bind(X,$fot(h4(op1(e11,e11)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_13_75,plain,
( h4(e10) != e20
| h4(op1(e11,e11)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(e10)) )],[refute_13_73,refute_13_74]) ).
cnf(refute_13_76,plain,
h4(op1(e11,e11)) = e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_13_43,refute_13_75]) ).
cnf(refute_13_77,plain,
( h4(op1(e11,e11)) != e20
| h4(op1(e11,e11)) != h2(e12)
| e20 = h2(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e12)) ),[0],$fot(e20)]]) ).
cnf(refute_13_78,plain,
( h4(op1(e11,e11)) != h2(e12)
| e20 = h2(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e20) )],[refute_13_76,refute_13_77]) ).
cnf(refute_13_79,plain,
e20 = h2(e12),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e12)) )],[refute_13_36,refute_13_78]) ).
cnf(refute_13_80,plain,
( e20 != h2(e12)
| h2(e12) = e20 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e20)),bind(Y,$fot(h2(e12)))]]) ).
cnf(refute_13_81,plain,
h2(e12) = e20,
inference(resolve,[$cnf( $equal(e20,h2(e12)) )],[refute_13_79,refute_13_80]) ).
cnf(refute_13_82,plain,
( h2(e12) != e20
| h2(e12) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e12),e21) ),[0],$fot(e20)]]) ).
cnf(refute_13_83,plain,
( h2(e12) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h2(e12),e20) )],[refute_13_81,refute_13_82]) ).
cnf(refute_13_84,plain,
( e20 = e21
| op2(e20,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(h2(e12),e21) )],[refute_13_9,refute_13_83]) ).
cnf(refute_13_85,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_13_29]) ).
cnf(refute_13_86,plain,
h1(e12) = op2(e20,e20),
inference(canonicalize,[],[normalize_13_30]) ).
cnf(refute_13_87,plain,
( h1(e12) != op2(e20,e20)
| op2(e20,e20) = h1(e12) ),
inference(subst,[],[refute_13_4:[bind(X,$fot(h1(e12))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_13_88,plain,
op2(e20,e20) = h1(e12),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,e20)) )],[refute_13_86,refute_13_87]) ).
cnf(refute_13_89,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_13_90,plain,
( op2(e20,e20) != h1(e12)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e12))]]) ).
cnf(refute_13_91,plain,
( op2(e20,e20) != h1(e12)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e12)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_13_89,refute_13_90]) ).
cnf(refute_13_92,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e12)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_13_88,refute_13_91]) ).
cnf(refute_13_93,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) != op2(e20,h1(e12))
| h1(e10) = op2(e20,h1(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e20,h1(e12))) ),[0],$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_13_94,plain,
( h1(e10) != op2(e20,op2(e20,e20))
| h1(e10) = op2(e20,h1(e12)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e12))) )],[refute_13_92,refute_13_93]) ).
cnf(refute_13_95,plain,
h1(e10) = op2(e20,h1(e12)),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,op2(e20,e20))) )],[refute_13_85,refute_13_94]) ).
cnf(refute_13_96,plain,
( op2(e20,e20) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(canonicalize,[],[normalize_13_34]) ).
cnf(refute_13_97,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e12)
| h1(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e12))]]) ).
cnf(refute_13_98,plain,
( op2(e20,e20) != e21
| h1(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_13_88,refute_13_97]) ).
cnf(refute_13_99,plain,
( h1(e12) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_13_96,refute_13_98]) ).
cnf(refute_13_100,plain,
h3(e12) = op2(e22,e22),
inference(canonicalize,[],[normalize_13_35]) ).
cnf(refute_13_101,plain,
( h3(e12) != op2(e22,e22)
| op2(e22,e22) = h3(e12) ),
inference(subst,[],[refute_13_4:[bind(X,$fot(h3(e12))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_13_102,plain,
op2(e22,e22) = h3(e12),
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e22)) )],[refute_13_100,refute_13_101]) ).
cnf(refute_13_103,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h3(e12)
| h3(e12) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h3(e12))]]) ).
cnf(refute_13_104,plain,
( op2(e22,e22) != e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_13_102,refute_13_103]) ).
cnf(refute_13_105,plain,
( h1(e12) = e21
| h3(e12) = e21
| op2(e23,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_13_99,refute_13_104]) ).
cnf(refute_13_106,plain,
e22 = op2(e23,e23),
inference(canonicalize,[],[normalize_13_36]) ).
cnf(refute_13_107,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_13_108,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_13_106,refute_13_107]) ).
cnf(refute_13_109,plain,
( op2(e23,e23) != e21
| op2(e23,e23) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e21) ),[0],$fot(e22)]]) ).
cnf(refute_13_110,plain,
( op2(e23,e23) != e21
| e22 = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_13_108,refute_13_109]) ).
cnf(refute_13_111,plain,
( e22 = e21
| h1(e12) = e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_105,refute_13_110]) ).
cnf(refute_13_112,plain,
e21 != e22,
inference(canonicalize,[],[normalize_13_38]) ).
cnf(refute_13_113,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_13_114,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_13_113,refute_13_112]) ).
cnf(refute_13_115,plain,
( h1(e12) = e21
| h3(e12) = e21 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_13_111,refute_13_114]) ).
cnf(refute_13_116,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_13_40]) ).
cnf(refute_13_117,plain,
( h3(e12) != op2(e22,e23)
| op2(e22,e22) != h3(e12)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h3(e12)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_13_118,plain,
( h3(e12) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h3(e12)) )],[refute_13_102,refute_13_117]) ).
cnf(refute_13_119,plain,
h3(e12) != op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_13_118,refute_13_116]) ).
cnf(refute_13_120,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_13_121,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_13_122,plain,
( op2(e23,e23) != e22
| op2(op2(e23,e23),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_13_120,refute_13_121]) ).
cnf(refute_13_123,plain,
op2(op2(e23,e23),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_13_108,refute_13_122]) ).
cnf(refute_13_124,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_13_125,plain,
( e21 != op2(op2(e23,e23),e23)
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e22,e23)) )],[refute_13_123,refute_13_124]) ).
cnf(refute_13_126,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_13_12,refute_13_125]) ).
cnf(refute_13_127,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_13_128,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_13_126,refute_13_127]) ).
cnf(refute_13_129,plain,
( h3(e12) != e21
| op2(e22,e23) != e21
| h3(e12) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e12),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_13_130,plain,
( h3(e12) != e21
| h3(e12) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_13_128,refute_13_129]) ).
cnf(refute_13_131,plain,
h3(e12) != e21,
inference(resolve,[$cnf( $equal(h3(e12),op2(e22,e23)) )],[refute_13_130,refute_13_119]) ).
cnf(refute_13_132,plain,
h1(e12) = e21,
inference(resolve,[$cnf( $equal(h3(e12),e21) )],[refute_13_115,refute_13_131]) ).
cnf(refute_13_133,plain,
op2(e20,h1(e12)) = op2(e20,h1(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h1(e12)))]]) ).
cnf(refute_13_134,plain,
( h1(e12) != e21
| op2(e20,h1(e12)) != op2(e20,h1(e12))
| op2(e20,h1(e12)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h1(e12)),op2(e20,h1(e12))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_135,plain,
( h1(e12) != e21
| op2(e20,h1(e12)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e12)),op2(e20,h1(e12))) )],[refute_13_133,refute_13_134]) ).
cnf(refute_13_136,plain,
op2(e20,h1(e12)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_13_132,refute_13_135]) ).
cnf(refute_13_137,plain,
( h1(e10) != op2(e20,h1(e12))
| op2(e20,h1(e12)) != op2(e20,e21)
| h1(e10) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e20,e21)) ),[0],$fot(op2(e20,h1(e12)))]]) ).
cnf(refute_13_138,plain,
( h1(e10) != op2(e20,h1(e12))
| h1(e10) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h1(e12)),op2(e20,e21)) )],[refute_13_136,refute_13_137]) ).
cnf(refute_13_139,plain,
h1(e10) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,h1(e12))) )],[refute_13_95,refute_13_138]) ).
cnf(refute_13_140,plain,
( h1(e10) != op2(e20,e21)
| op2(e20,e21) = h1(e10) ),
inference(subst,[],[refute_13_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_13_141,plain,
op2(e20,e21) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e20,e21)) )],[refute_13_139,refute_13_140]) ).
cnf(refute_13_142,plain,
( op2(e20,e21) != e21
| op2(e20,e21) != h1(e10)
| h1(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e21) ),[0],$fot(h1(e10))]]) ).
cnf(refute_13_143,plain,
( op2(e20,e21) != e21
| h1(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e10)) )],[refute_13_141,refute_13_142]) ).
cnf(refute_13_144,plain,
( e20 = e21
| h1(e10) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_13_84,refute_13_143]) ).
cnf(refute_13_145,plain,
e20 != e21,
inference(canonicalize,[],[normalize_13_41]) ).
cnf(refute_13_146,plain,
( h1(e10) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_13_144,refute_13_145]) ).
cnf(refute_13_147,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_13_42]) ).
cnf(refute_13_148,plain,
( h1(e12) != op2(e20,e21)
| op2(e20,e20) != h1(e12)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e12)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_13_149,plain,
( h1(e12) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e12)) )],[refute_13_88,refute_13_148]) ).
cnf(refute_13_150,plain,
h1(e12) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_13_149,refute_13_147]) ).
cnf(refute_13_151,plain,
( e21 != op2(e20,e21)
| h1(e12) != e21
| h1(e12) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e12),e21) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_13_152,plain,
( e21 != op2(e20,e21)
| h1(e12) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h1(e12),e21) )],[refute_13_132,refute_13_151]) ).
cnf(refute_13_153,plain,
( e21 != h1(e10)
| op2(e20,e21) != h1(e10)
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e21)) ),[1],$fot(h1(e10))]]) ).
cnf(refute_13_154,plain,
( e21 != h1(e10)
| e21 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e10)) )],[refute_13_141,refute_13_153]) ).
cnf(refute_13_155,plain,
( e21 != h1(e10)
| h1(e12) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_13_154,refute_13_152]) ).
cnf(refute_13_156,plain,
e21 != h1(e10),
inference(resolve,[$cnf( $equal(h1(e12),op2(e20,e21)) )],[refute_13_155,refute_13_150]) ).
cnf(refute_13_157,plain,
( h1(e10) != e21
| e21 = h1(e10) ),
inference(subst,[],[refute_13_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(e21))]]) ).
cnf(refute_13_158,plain,
h1(e10) != e21,
inference(resolve,[$cnf( $equal(e21,h1(e10)) )],[refute_13_157,refute_13_156]) ).
cnf(refute_13_159,plain,
( op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_13_146,refute_13_158]) ).
cnf(refute_13_160,plain,
op2(e22,e21) != op2(e22,e23),
inference(canonicalize,[],[normalize_13_43]) ).
cnf(refute_13_161,plain,
( op2(e22,e21) != e21
| op2(e22,e23) != e21
| op2(e22,e21) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_13_162,plain,
( op2(e22,e21) != e21
| op2(e22,e21) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_13_128,refute_13_161]) ).
cnf(refute_13_163,plain,
op2(e22,e21) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e23)) )],[refute_13_162,refute_13_160]) ).
cnf(refute_13_164,plain,
op2(e23,e21) = e21,
inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_13_159,refute_13_163]) ).
cnf(refute_13_165,plain,
h4(op1(e13,e11)) != op2(h4(e13),h4(e11)),
inference(canonicalize,[],[normalize_13_44]) ).
cnf(refute_13_166,plain,
op2(e23,h4(e11)) = op2(e23,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e11)))]]) ).
cnf(refute_13_167,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_168,plain,
( h4(e11) != e21
| op2(e23,h4(e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) )],[refute_13_166,refute_13_167]) ).
cnf(refute_13_169,plain,
op2(e23,h4(e11)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_17,refute_13_168]) ).
cnf(refute_13_170,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_13_45]) ).
cnf(refute_13_171,plain,
op2(h4(e13),h4(e11)) = op2(h4(e13),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e11)))]]) ).
cnf(refute_13_172,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_173,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e11)) = op2(e23,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(h4(e13),h4(e11))) )],[refute_13_171,refute_13_172]) ).
cnf(refute_13_174,plain,
op2(h4(e13),h4(e11)) = op2(e23,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_13_170,refute_13_173]) ).
cnf(refute_13_175,plain,
( op2(e23,h4(e11)) != op2(e23,e21)
| op2(h4(e13),h4(e11)) != op2(e23,h4(e11))
| op2(h4(e13),h4(e11)) = op2(e23,e21) ),
inference(subst,[],[refute_13_27:[bind(X,$fot(op2(h4(e13),h4(e11)))),bind(Y,$fot(op2(e23,h4(e11)))),bind(Z,$fot(op2(e23,e21)))]]) ).
cnf(refute_13_176,plain,
( op2(e23,h4(e11)) != op2(e23,e21)
| op2(h4(e13),h4(e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e23,h4(e11))) )],[refute_13_174,refute_13_175]) ).
cnf(refute_13_177,plain,
op2(h4(e13),h4(e11)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,e21)) )],[refute_13_169,refute_13_176]) ).
cnf(refute_13_178,plain,
( h4(op1(e13,e11)) != op2(e23,e21)
| op2(h4(e13),h4(e11)) != op2(e23,e21)
| h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e13,e11)),op2(h4(e13),h4(e11))) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_13_179,plain,
( h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e23,e21)) )],[refute_13_177,refute_13_178]) ).
cnf(refute_13_180,plain,
h4(op1(e13,e11)) != op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(h4(e13),h4(e11))) )],[refute_13_179,refute_13_165]) ).
cnf(refute_13_181,plain,
( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 ),
inference(canonicalize,[],[normalize_13_47]) ).
cnf(refute_13_182,plain,
( op1(e13,e13) != e11
| op1(e13,e13) != e12
| e12 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e11) ),[0],$fot(e12)]]) ).
cnf(refute_13_183,plain,
( op1(e13,e13) != e11
| e12 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_13_47,refute_13_182]) ).
cnf(refute_13_184,plain,
( e12 = e11
| op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_13_181,refute_13_183]) ).
cnf(refute_13_185,plain,
e11 != e12,
inference(canonicalize,[],[normalize_13_48]) ).
cnf(refute_13_186,plain,
( e12 != e11
| e11 = e12 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e12)),bind(Y,$fot(e11))]]) ).
cnf(refute_13_187,plain,
e12 != e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_13_186,refute_13_185]) ).
cnf(refute_13_188,plain,
( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_13_184,refute_13_187]) ).
cnf(refute_13_189,plain,
( op1(e13,e12) != e10
| op1(e13,e12) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),e11) ),[0],$fot(e10)]]) ).
cnf(refute_13_190,plain,
( op1(e13,e12) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_13_65,refute_13_189]) ).
cnf(refute_13_191,plain,
( e10 = e11
| op1(e13,e10) = e11
| op1(e13,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_13_188,refute_13_190]) ).
cnf(refute_13_192,plain,
e10 != e11,
inference(canonicalize,[],[normalize_13_49]) ).
cnf(refute_13_193,plain,
( op1(e13,e10) = e11
| op1(e13,e11) = e11 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_13_191,refute_13_192]) ).
cnf(refute_13_194,plain,
op1(e10,e10) != op1(e13,e10),
inference(canonicalize,[],[normalize_13_50]) ).
cnf(refute_13_195,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 ),
inference(canonicalize,[],[normalize_13_53]) ).
cnf(refute_13_196,plain,
( e12 = e11
| op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_13_195,refute_13_183]) ).
cnf(refute_13_197,plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e11 ),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_13_196,refute_13_187]) ).
cnf(refute_13_198,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_13_54]) ).
cnf(refute_13_199,plain,
e11 = op1(op1(e13,e13),e13),
inference(canonicalize,[],[normalize_13_55]) ).
cnf(refute_13_200,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_13_201,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(e12)]]) ).
cnf(refute_13_202,plain,
( op1(e13,e13) != e12
| op1(op1(e13,e13),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_13_200,refute_13_201]) ).
cnf(refute_13_203,plain,
op1(op1(e13,e13),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_13_47,refute_13_202]) ).
cnf(refute_13_204,plain,
( e11 != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_13_205,plain,
( e11 != op1(op1(e13,e13),e13)
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e12,e13)) )],[refute_13_203,refute_13_204]) ).
cnf(refute_13_206,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(op1(e13,e13),e13)) )],[refute_13_199,refute_13_205]) ).
cnf(refute_13_207,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_13_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_13_208,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_13_206,refute_13_207]) ).
cnf(refute_13_209,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_13_210,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_13_208,refute_13_209]) ).
cnf(refute_13_211,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_13_210,refute_13_198]) ).
cnf(refute_13_212,plain,
op1(e10,e10) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_13_197,refute_13_211]) ).
cnf(refute_13_213,plain,
( e11 != op1(e13,e10)
| op1(e10,e10) != e11
| op1(e10,e10) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e11) ),[1],$fot(op1(e13,e10))]]) ).
cnf(refute_13_214,plain,
( e11 != op1(e13,e10)
| op1(e10,e10) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e11) )],[refute_13_212,refute_13_213]) ).
cnf(refute_13_215,plain,
e11 != op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_13_214,refute_13_194]) ).
cnf(refute_13_216,plain,
( op1(e13,e10) != e11
| e11 = op1(e13,e10) ),
inference(subst,[],[refute_13_4:[bind(X,$fot(op1(e13,e10))),bind(Y,$fot(e11))]]) ).
cnf(refute_13_217,plain,
op1(e13,e10) != e11,
inference(resolve,[$cnf( $equal(e11,op1(e13,e10)) )],[refute_13_216,refute_13_215]) ).
cnf(refute_13_218,plain,
op1(e13,e11) = e11,
inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_13_193,refute_13_217]) ).
cnf(refute_13_219,plain,
h4(op1(e13,e11)) = h4(op1(e13,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e11)))]]) ).
cnf(refute_13_220,plain,
( h4(op1(e13,e11)) != h4(op1(e13,e11))
| op1(e13,e11) != e11
| h4(op1(e13,e11)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),h4(op1(e13,e11))) ),[1,0],$fot(e11)]]) ).
cnf(refute_13_221,plain,
( op1(e13,e11) != e11
| h4(op1(e13,e11)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h4(op1(e13,e11))) )],[refute_13_219,refute_13_220]) ).
cnf(refute_13_222,plain,
h4(op1(e13,e11)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_13_218,refute_13_221]) ).
cnf(refute_13_223,plain,
( h4(e11) != e21
| h4(op1(e13,e11)) != h4(e11)
| h4(op1(e13,e11)) = e21 ),
inference(subst,[],[refute_13_27:[bind(X,$fot(h4(op1(e13,e11)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_13_224,plain,
( h4(e11) != e21
| h4(op1(e13,e11)) = e21 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h4(e11)) )],[refute_13_222,refute_13_223]) ).
cnf(refute_13_225,plain,
h4(op1(e13,e11)) = e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_13_17,refute_13_224]) ).
cnf(refute_13_226,plain,
( e21 != op2(e23,e21)
| h4(op1(e13,e11)) != e21
| h4(op1(e13,e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),e21) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_13_227,plain,
( e21 != op2(e23,e21)
| h4(op1(e13,e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),e21) )],[refute_13_225,refute_13_226]) ).
cnf(refute_13_228,plain,
e21 != op2(e23,e21),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(e23,e21)) )],[refute_13_227,refute_13_180]) ).
cnf(refute_13_229,plain,
( op2(e23,e21) != e21
| e21 = op2(e23,e21) ),
inference(subst,[],[refute_13_4:[bind(X,$fot(op2(e23,e21))),bind(Y,$fot(e21))]]) ).
cnf(refute_13_230,plain,
op2(e23,e21) != e21,
inference(resolve,[$cnf( $equal(e21,op2(e23,e21)) )],[refute_13_229,refute_13_228]) ).
cnf(refute_13_231,plain,
$false,
inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_13_164,refute_13_230]) ).
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(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = 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(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = 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(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = 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(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_14_10,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_11,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_14_12,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_14_11]) ).
fof(normalize_14_13,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_14_14,plain,
e10 = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_14_13]) ).
fof(normalize_14_15,plain,
e12 = op1(e13,e13),
inference(conjunct,[],[normalize_14_13]) ).
fof(normalize_14_16,plain,
e22 = op2(e23,e23),
inference(conjunct,[],[normalize_14_11]) ).
fof(normalize_14_17,plain,
h4(e12) = op2(e23,e23),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_18,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(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_14_10]) ).
cnf(refute_14_2,plain,
e20 = op2(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( $equal(X,X) )],[refute_14_3,refute_14_4]) ).
cnf(refute_14_6,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_14_7,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_14_2,refute_14_6]) ).
cnf(refute_14_8,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_14_9,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_14_7,refute_14_8]) ).
cnf(refute_14_10,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_14_1,refute_14_9]) ).
cnf(refute_14_11,plain,
e10 = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_14_14]) ).
cnf(refute_14_12,plain,
e12 = op1(e13,e13),
inference(canonicalize,[],[normalize_14_15]) ).
cnf(refute_14_13,plain,
( e12 != op1(e13,e13)
| op1(e13,e13) = e12 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_14_14,plain,
op1(e13,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_14_12,refute_14_13]) ).
cnf(refute_14_15,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_14_16,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_14_17,plain,
( op1(e13,e13) != e12
| op1(e13,op1(e13,e13)) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_14_15,refute_14_16]) ).
cnf(refute_14_18,plain,
op1(e13,op1(e13,e13)) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_14_14,refute_14_17]) ).
cnf(refute_14_19,plain,
( e10 != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e12)
| e10 = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_14_20,plain,
( e10 != op1(e13,op1(e13,e13))
| e10 = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e12)) )],[refute_14_18,refute_14_19]) ).
cnf(refute_14_21,plain,
e10 = op1(e13,e12),
inference(resolve,[$cnf( $equal(e10,op1(e13,op1(e13,e13))) )],[refute_14_11,refute_14_20]) ).
cnf(refute_14_22,plain,
( e10 != op1(e13,e12)
| op1(e13,e12) = e10 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).
cnf(refute_14_23,plain,
op1(e13,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_14_21,refute_14_22]) ).
cnf(refute_14_24,plain,
h4(op1(e13,e12)) = h4(op1(e13,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e12)))]]) ).
cnf(refute_14_25,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_26,plain,
( op1(e13,e12) != e10
| h4(op1(e13,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),h4(op1(e13,e12))) )],[refute_14_24,refute_14_25]) ).
cnf(refute_14_27,plain,
h4(op1(e13,e12)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_14_23,refute_14_26]) ).
cnf(refute_14_28,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_14_29,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_14_5,refute_14_28]) ).
cnf(refute_14_30,plain,
( h4(e10) != e20
| h4(op1(e13,e12)) != h4(e10)
| h4(op1(e13,e12)) = e20 ),
inference(subst,[],[refute_14_29:[bind(X,$fot(h4(op1(e13,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_14_31,plain,
( h4(e10) != e20
| h4(op1(e13,e12)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),h4(e10)) )],[refute_14_27,refute_14_30]) ).
cnf(refute_14_32,plain,
h4(op1(e13,e12)) = e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_14_10,refute_14_31]) ).
cnf(refute_14_33,plain,
( e20 != op2(h4(e13),h4(e12))
| h4(op1(e13,e12)) != e20
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e12)),e20) ),[1],$fot(op2(h4(e13),h4(e12)))]]) ).
cnf(refute_14_34,plain,
( e20 != op2(h4(e13),h4(e12))
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),e20) )],[refute_14_32,refute_14_33]) ).
cnf(refute_14_35,plain,
e22 = op2(e23,e23),
inference(canonicalize,[],[normalize_14_16]) ).
cnf(refute_14_36,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_14_37,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_14_35,refute_14_36]) ).
cnf(refute_14_38,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_14_39,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e22)]]) ).
cnf(refute_14_40,plain,
( op2(e23,e23) != e22
| op2(e23,op2(e23,e23)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_14_38,refute_14_39]) ).
cnf(refute_14_41,plain,
op2(e23,op2(e23,e23)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_14_37,refute_14_40]) ).
cnf(refute_14_42,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != op2(e23,e22)
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_14_43,plain,
( e20 != op2(e23,op2(e23,e23))
| e20 = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e22)) )],[refute_14_41,refute_14_42]) ).
cnf(refute_14_44,plain,
e20 = op2(e23,e22),
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_14_2,refute_14_43]) ).
cnf(refute_14_45,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) = e20 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_14_46,plain,
op2(e23,e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_14_44,refute_14_45]) ).
cnf(refute_14_47,plain,
h4(e12) = op2(e23,e23),
inference(canonicalize,[],[normalize_14_17]) ).
cnf(refute_14_48,plain,
( h4(e12) != op2(e23,e23)
| op2(e23,e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_14_49,plain,
( h4(e12) != op2(e23,e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_14_37,refute_14_48]) ).
cnf(refute_14_50,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e23)) )],[refute_14_47,refute_14_49]) ).
cnf(refute_14_51,plain,
op2(e23,h4(e12)) = op2(e23,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e12)))]]) ).
cnf(refute_14_52,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_53,plain,
( h4(e12) != e22
| op2(e23,h4(e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,h4(e12))) )],[refute_14_51,refute_14_52]) ).
cnf(refute_14_54,plain,
op2(e23,h4(e12)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_14_50,refute_14_53]) ).
cnf(refute_14_55,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_14_18]) ).
cnf(refute_14_56,plain,
op2(h4(e13),h4(e12)) = op2(h4(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e12)))]]) ).
cnf(refute_14_57,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_58,plain,
( h4(e13) != e23
| op2(h4(e13),h4(e12)) = op2(e23,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(h4(e13),h4(e12))) )],[refute_14_56,refute_14_57]) ).
cnf(refute_14_59,plain,
op2(h4(e13),h4(e12)) = op2(e23,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_14_55,refute_14_58]) ).
cnf(refute_14_60,plain,
( op2(e23,h4(e12)) != op2(e23,e22)
| op2(h4(e13),h4(e12)) != op2(e23,h4(e12))
| op2(h4(e13),h4(e12)) = op2(e23,e22) ),
inference(subst,[],[refute_14_29:[bind(X,$fot(op2(h4(e13),h4(e12)))),bind(Y,$fot(op2(e23,h4(e12)))),bind(Z,$fot(op2(e23,e22)))]]) ).
cnf(refute_14_61,plain,
( op2(e23,h4(e12)) != op2(e23,e22)
| op2(h4(e13),h4(e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(e23,h4(e12))) )],[refute_14_59,refute_14_60]) ).
cnf(refute_14_62,plain,
op2(h4(e13),h4(e12)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,e22)) )],[refute_14_54,refute_14_61]) ).
cnf(refute_14_63,plain,
( op2(e23,e22) != e20
| op2(h4(e13),h4(e12)) != op2(e23,e22)
| op2(h4(e13),h4(e12)) = e20 ),
inference(subst,[],[refute_14_29:[bind(X,$fot(op2(h4(e13),h4(e12)))),bind(Y,$fot(op2(e23,e22))),bind(Z,$fot(e20))]]) ).
cnf(refute_14_64,plain,
( op2(e23,e22) != e20
| op2(h4(e13),h4(e12)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(e23,e22)) )],[refute_14_62,refute_14_63]) ).
cnf(refute_14_65,plain,
op2(h4(e13),h4(e12)) = e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_14_46,refute_14_64]) ).
cnf(refute_14_66,plain,
( e20 != e20
| op2(h4(e13),h4(e12)) != e20
| e20 = op2(h4(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(h4(e13),h4(e12))) ),[1],$fot(e20)]]) ).
cnf(refute_14_67,plain,
( e20 != e20
| e20 = op2(h4(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),e20) )],[refute_14_65,refute_14_66]) ).
cnf(refute_14_68,plain,
( e20 != e20
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(e20,op2(h4(e13),h4(e12))) )],[refute_14_67,refute_14_34]) ).
cnf(refute_14_69,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),op2(h4(e13),h4(e12))) )],[refute_14_68,refute_14_0]) ).
cnf(refute_14_70,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_14_71,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_14_70,refute_14_69]) ).
fof(negate_15_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) )
=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(negate,[],[subgoal_15]) ).
fof(normalize_15_0,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_15_0]) ).
fof(normalize_15_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = 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(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = 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(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = 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(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_15_10,plain,
h4(e12) = op2(e23,e23),
inference(conjunct,[],[normalize_15_9]) ).
fof(normalize_15_11,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_15_12,plain,
e22 = op2(e23,e23),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_13,plain,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(op1(e13,e13),e13)
& e12 = op1(e13,e13) ),
inference(canonicalize,[],[ax12]) ).
fof(normalize_15_14,plain,
e12 = 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(e12) = op2(e23,e23),
inference(canonicalize,[],[normalize_15_10]) ).
cnf(refute_15_2,plain,
e22 = 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( $equal(X,X) )],[refute_15_3,refute_15_4]) ).
cnf(refute_15_6,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_15_7,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_15_2,refute_15_6]) ).
cnf(refute_15_8,plain,
( h4(e12) != op2(e23,e23)
| op2(e23,e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_15_9,plain,
( h4(e12) != op2(e23,e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_15_7,refute_15_8]) ).
cnf(refute_15_10,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e23)) )],[refute_15_1,refute_15_9]) ).
cnf(refute_15_11,plain,
e12 = op1(e13,e13),
inference(canonicalize,[],[normalize_15_14]) ).
cnf(refute_15_12,plain,
( e12 != op1(e13,e13)
| op1(e13,e13) = e12 ),
inference(subst,[],[refute_15_5:[bind(X,$fot(e12)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_15_13,plain,
op1(e13,e13) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e13,e13)) )],[refute_15_11,refute_15_12]) ).
cnf(refute_15_14,plain,
h4(op1(e13,e13)) = h4(op1(e13,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e13)))]]) ).
cnf(refute_15_15,plain,
( h4(op1(e13,e13)) != h4(op1(e13,e13))
| op1(e13,e13) != e12
| h4(op1(e13,e13)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_15_16,plain,
( op1(e13,e13) != e12
| h4(op1(e13,e13)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) )],[refute_15_14,refute_15_15]) ).
cnf(refute_15_17,plain,
h4(op1(e13,e13)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_15_13,refute_15_16]) ).
cnf(refute_15_18,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_15_19,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_15_5,refute_15_18]) ).
cnf(refute_15_20,plain,
( h4(e12) != e22
| h4(op1(e13,e13)) != h4(e12)
| h4(op1(e13,e13)) = e22 ),
inference(subst,[],[refute_15_19:[bind(X,$fot(h4(op1(e13,e13)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_15_21,plain,
( h4(e12) != e22
| h4(op1(e13,e13)) = e22 ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(e12)) )],[refute_15_17,refute_15_20]) ).
cnf(refute_15_22,plain,
h4(op1(e13,e13)) = e22,
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_15_10,refute_15_21]) ).
cnf(refute_15_23,plain,
( e22 != op2(h4(e13),h4(e13))
| h4(op1(e13,e13)) != e22
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),e22) ),[1],$fot(op2(h4(e13),h4(e13)))]]) ).
cnf(refute_15_24,plain,
( e22 != op2(h4(e13),h4(e13))
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),e22) )],[refute_15_22,refute_15_23]) ).
cnf(refute_15_25,plain,
h4(e13) = e23,
inference(canonicalize,[],[normalize_15_15]) ).
cnf(refute_15_26,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$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( $equal(op2(e23,h4(e13)),op2(e23,e23)) )],[refute_15_29,refute_15_35]) ).
cnf(refute_15_37,plain,
( op2(e23,e23) != e22
| op2(h4(e13),h4(e13)) != op2(e23,e23)
| op2(h4(e13),h4(e13)) = e22 ),
inference(subst,[],[refute_15_19:[bind(X,$fot(op2(h4(e13),h4(e13)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e22))]]) ).
cnf(refute_15_38,plain,
( op2(e23,e23) != e22
| op2(h4(e13),h4(e13)) = e22 ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(e23,e23)) )],[refute_15_36,refute_15_37]) ).
cnf(refute_15_39,plain,
op2(h4(e13),h4(e13)) = e22,
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_15_7,refute_15_38]) ).
cnf(refute_15_40,plain,
( e22 != e22
| op2(h4(e13),h4(e13)) != e22
| e22 = op2(h4(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(h4(e13),h4(e13))) ),[1],$fot(e22)]]) ).
cnf(refute_15_41,plain,
( e22 != e22
| e22 = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),e22) )],[refute_15_39,refute_15_40]) ).
cnf(refute_15_42,plain,
( e22 != e22
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(e22,op2(h4(e13),h4(e13))) )],[refute_15_41,refute_15_24]) ).
cnf(refute_15_43,plain,
e22 != e22,
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),op2(h4(e13),h4(e13))) )],[refute_15_42,refute_15_0]) ).
cnf(refute_15_44,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_15_45,plain,
$false,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_15_44,refute_15_43]) ).
fof(negate_16_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20 )
=> h4(e13) = e20 ),
inference(negate,[],[subgoal_16]) ).
fof(normalize_16_0,plain,
( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_16_0]) ).
fof(normalize_16_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = 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(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = 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(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = 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(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_16_10,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_16_9]) ).
fof(normalize_16_11,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_16_12,plain,
e20 = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_16_11]) ).
cnf(refute_16_0,plain,
h4(e10) != e20,
inference(canonicalize,[],[normalize_16_8]) ).
cnf(refute_16_1,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_16_10]) ).
cnf(refute_16_2,plain,
e20 = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_16_12]) ).
cnf(refute_16_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_16_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_16_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_16_3,refute_16_4]) ).
cnf(refute_16_6,plain,
( e20 != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = e20 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_16_7,plain,
op2(e23,op2(e23,e23)) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,op2(e23,e23))) )],[refute_16_2,refute_16_6]) ).
cnf(refute_16_8,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),e20) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_16_9,plain,
( h4(e10) != op2(e23,op2(e23,e23))
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),e20) )],[refute_16_7,refute_16_8]) ).
cnf(refute_16_10,plain,
h4(e10) = e20,
inference(resolve,[$cnf( $equal(h4(e10),op2(e23,op2(e23,e23))) )],[refute_16_1,refute_16_9]) ).
cnf(refute_16_11,plain,
( e20 != e20
| h4(e10) != e20
| h4(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_16_12,plain,
( e20 != e20
| h4(e10) = e20 ),
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_16_10,refute_16_11]) ).
cnf(refute_16_13,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_16_12,refute_16_0]) ).
cnf(refute_16_14,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_16_15,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_16_14,refute_16_13]) ).
fof(negate_17_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21 )
=> h4(e13) = e21 ),
inference(negate,[],[subgoal_17]) ).
fof(normalize_17_0,plain,
( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_17_0]) ).
fof(normalize_17_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = 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(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = 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(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = 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(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_17_10,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(conjunct,[],[normalize_17_9]) ).
fof(normalize_17_11,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_17_12,plain,
e21 = op2(op2(e23,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(op2(e23,e23),e23),
inference(canonicalize,[],[normalize_17_10]) ).
cnf(refute_17_2,plain,
e21 = op2(op2(e23,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( $equal(X,X) )],[refute_17_3,refute_17_4]) ).
cnf(refute_17_6,plain,
( e21 != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = e21 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(op2(e23,e23),e23)))]]) ).
cnf(refute_17_7,plain,
op2(op2(e23,e23),e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(op2(e23,e23),e23)) )],[refute_17_2,refute_17_6]) ).
cnf(refute_17_8,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),e21) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_17_9,plain,
( h4(e11) != op2(op2(e23,e23),e23)
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),e21) )],[refute_17_7,refute_17_8]) ).
cnf(refute_17_10,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),e23)) )],[refute_17_1,refute_17_9]) ).
cnf(refute_17_11,plain,
( e21 != e21
| h4(e11) != e21
| h4(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_17_12,plain,
( e21 != e21
| h4(e11) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_17_10,refute_17_11]) ).
cnf(refute_17_13,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_17_12,refute_17_0]) ).
cnf(refute_17_14,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_17_15,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_17_14,refute_17_13]) ).
fof(negate_18_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22 )
=> h4(e13) = e22 ),
inference(negate,[],[subgoal_18]) ).
fof(normalize_18_0,plain,
( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_18_0]) ).
fof(normalize_18_1,plain,
( h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = 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(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = 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(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = 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(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = e23 ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_18_10,plain,
h4(e12) = op2(e23,e23),
inference(conjunct,[],[normalize_18_9]) ).
fof(normalize_18_11,plain,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(op2(e23,e23),e23)
& e22 = op2(e23,e23) ),
inference(canonicalize,[],[ax13]) ).
fof(normalize_18_12,plain,
e22 = 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,e23),
inference(canonicalize,[],[normalize_18_10]) ).
cnf(refute_18_2,plain,
e22 = op2(e23,e23),
inference(canonicalize,[],[normalize_18_12]) ).
cnf(refute_18_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_18_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_18_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_18_3,refute_18_4]) ).
cnf(refute_18_6,plain,
( e22 != op2(e23,e23)
| op2(e23,e23) = e22 ),
inference(subst,[],[refute_18_5:[bind(X,$fot(e22)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_18_7,plain,
op2(e23,e23) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e23,e23)) )],[refute_18_2,refute_18_6]) ).
cnf(refute_18_8,plain,
( h4(e12) != op2(e23,e23)
| op2(e23,e23) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e12),e22) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_18_9,plain,
( h4(e12) != op2(e23,e23)
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_18_7,refute_18_8]) ).
cnf(refute_18_10,plain,
h4(e12) = e22,
inference(resolve,[$cnf( $equal(h4(e12),op2(e23,e23)) )],[refute_18_1,refute_18_9]) ).
cnf(refute_18_11,plain,
( e22 != e22
| h4(e12) != e22
| h4(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e22) ),[1],$fot(e22)]]) ).
cnf(refute_18_12,plain,
( e22 != e22
| h4(e12) = e22 ),
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_18_10,refute_18_11]) ).
cnf(refute_18_13,plain,
e22 != e22,
inference(resolve,[$cnf( $equal(h4(e12),e22) )],[refute_18_12,refute_18_0]) ).
cnf(refute_18_14,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_18_15,plain,
$false,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_18_14,refute_18_13]) ).
fof(negate_19_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23 )
=> h4(e13) = e23 ),
inference(negate,[],[subgoal_19]) ).
fof(normalize_19_0,plain,
( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_19_0]) ).
fof(normalize_19_1,plain,
( h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e12) = 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(e20,op2(e20,e20))
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e12) = 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(e21,op2(e21,e21))
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e12) = 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(e22,op2(e22,e22))
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e12) = 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
% 0.11/0.11 % Problem : ALG117+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 15:33:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 3.14/3.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.14/3.31
% 3.14/3.31 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.54/3.74
%------------------------------------------------------------------------------